{
  "song": {
    "id": "c812541b-6647-4e2a-9514-5e6da8f87873",
    "title": "Paper Planes",
    "artist": "M.I.A.",
    "album": "Kala",
    "release_year": 2007,
    "duration_seconds": 205.2,
    "isrc": "GBBKS0700215",
    "slug": "paper-planes-m-i-a",
    "status": "published",
    "tier1_complete": true,
    "tier2_complete": true,
    "tier3_complete": true,
    "tier4_complete": true,
    "color_generated": true,
    "validation_complete": true,
    "published_at": "2026-03-17T20:44:45.908+00:00",
    "analyst_name": "Andrew Brownlee",
    "analysis_version": "2.0",
    "full_song_confirmed": true,
    "created_at": "2026-03-16T18:57:51.009381+00:00",
    "updated_at": "2026-03-23T19:16:16.67141+00:00",
    "youtube_url": "https://www.youtube.com/watch?v=ewRjZoRtu0Y",
    "search_vector": "'kala':4B 'm.i.a':3A 'paper':1A 'plane':2A",
    "source_sample_rate": 48000,
    "effective_bandwidth_hz": 4872,
    "audio_quality_estimate": "low",
    "canonical_bpm": 172,
    "canonical_bpm_source": "analyst",
    "bpm_feel": 86.1328125,
    "bpm_feel_note": "Half-time feel",
    "spotify_id": null,
    "spotify_uri": null,
    "apple_music_id": "296393515",
    "apple_music_url": "https://music.apple.com/us/album/paper-planes/296393419?i=296393515",
    "musicbrainz_id": null,
    "acrcloud_id": null,
    "genius_id": 2171,
    "genius_url": "https://genius.com/Mia-paper-planes-lyrics",
    "lyrics": "[Verse 1]\nI fly like paper, get high like planes\nIf you catch me at the border, I got visas in my name\nIf you come around here, I make 'em all day\nI get one done in a second if you wait\nI fly like paper, get high like planes\nIf you catch me at the border, I got visas in my name\nIf you come around here, I make 'em all day\nI get one done in a second if you wait\nSometimes I think sittin' on trains\nEvery stop I get to I'm clocking that game\nEveryone's a winner, we're making our fame\nBona fide hustler making my name\nSometimes I think sittin' on trains\nEvery stop I get to I'm clocking that game\nEveryone's a winner, we're making our fame\nBona fide hustler making my name\n\n[Chorus]\n'Cause all I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\n\n[Verse 2]\nPirate skulls and bones\nSticks and stones and weed and bongs\nRunning when we hit 'em\nLethal poison for the system\nPirate skulls and bones\nSticks and stones and weed and bongs\nRunning when we hit 'em\nLethal poison for the system\nNo one on the corner has swagger like us\nHit me on my burner prepaid wireless\nWe pack and deliver like UPS trucks\nAlready going hard, just pumping that gas\nNo one on the corner has swagger like us\nHit me on my burner prepaid wireless\nWe pack and deliver like UPS trucks\nAlready going hard, just pumping that gas\n\n[Chorus]\n'Cause all I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\n\n[Bridge]\nM.I.A, third world democracy\nYeah, I've got more records than the KGB\nSo, uh, no funny business (Are you ready all?)\nSome some some I some I murder\nSome I some I let go\nSome some some I some I murder\nSome I some I let go\n\n[Chorus]\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money\nAll I wanna do is—, and a—\nAnd take your money",
    "lyrics_annotations": [
      {
        "id": 26617949,
        "fragment": "M.I.A,",
        "annotations": [
          {
            "body": {
              "plain": "M.I.A’s name stands for “Missing in Acton”. a play on the term “Missing in Action”.\n\nActon is a town in England, where M.I.A is from."
            }
          }
        ]
      },
      {
        "id": 23075464,
        "fragment": "Some some some I some I murder\n Some I some I let go\n Some some some I some I murder\n Some I some I let go",
        "annotations": [
          {
            "body": {
              "plain": "There is a trope in Western movies, where a cowboy will kill one of their foes, then let the other one free to go tell their friends they’ll be killed if they mess with him."
            }
          }
        ]
      },
      {
        "id": 9307457,
        "fragment": "Already going hard, just pumping that gas",
        "annotations": [
          {
            "body": {
              "plain": "Remember, the sample that drives this song is from The Clash’s “Straight To Hell”, which was written from the perspective of a bigot reacting to South Asian immigrants.\n\nIn this case MIA and the people she discusses here are already going “straight to hell” as Joe Strummer’s fictional bigot suggests, and they’re pumping the gas – making the trip go even faster."
            }
          }
        ]
      },
      {
        "id": 2448276,
        "fragment": "I fly like paper,",
        "annotations": [
          {
            "body": {
              "plain": "Immigrants leave their countries to reach other lands like planes.\n\nIt’s about immigration and immigrants, and how we are seen to be really scary because we can take people’s jobs. People think it’s about robbing banks or something or it’s about terrorism, but it’s not. It’s about immigrants coming over and us being really scary to people."
            }
          }
        ]
      },
      {
        "id": 1884741,
        "fragment": "Third world democracy",
        "annotations": [
          {
            "body": {
              "plain": "Reppin' her homeland of Sri Lanka\n\n\n\nSince MIA is a Sri Lankan Tamil, she is probably describing the Sinhalese Government during the Sri Lankan civil war and their oppression of Tamils.\n\nMore broadly the song is probably meant to represent all “third world” democracies – viz countries that are not a part of the affluent west (e.g. US, UK, Canada, France, Germany, etc.) or Russia"
            }
          }
        ]
      },
      {
        "id": 1884733,
        "fragment": "Yeah, I’ve got more records than the KGB\n So, uh, no funny business",
        "annotations": [
          {
            "body": {
              "plain": "M.I.A. boasts that the police keep more files on her than the KGB—the secret police of the totalitarian Soviet Union—kept in total, or alternatively, that she’s sold more musical records than the KGB kept.\n\n“Funny business” is also doing double-duty, implying both that you shouldn’t mess with her, and that she’s a serious businesswoman.\n\nFinally, this plays into the previous line – “third world” countries were those unaffiliated with the “first world” (the US and its allies) or the “second world” (the USSR and its allies)"
            }
          }
        ]
      },
      {
        "id": 1850849,
        "fragment": "Pirate skulls and bones",
        "annotations": [
          {
            "body": {
              "plain": "Also known as the Jolly Roger, such an emblem would be used on pirate ships who were ready to attack.\n\n\n\nM.I.A. may be using this imagery to reflect the furtively violent and murderous behaviors of many governments, notably the Sinhalese government."
            }
          }
        ]
      },
      {
        "id": 784729,
        "fragment": "We pack and deliver like UPS trucks",
        "annotations": [
          {
            "body": {
              "plain": "United Parcel Service, Inc. (NYSE: UPS), typically referred to by the acronym UPS, is a package delivery company.\n\nPacking up the drugs and delivering them, just like a UPS truck would deliver packages, but in this case drugs."
            }
          }
        ]
      },
      {
        "id": 784726,
        "fragment": "No one on the corner has swagger like us",
        "annotations": [
          {
            "body": {
              "plain": "This line was sampled in the chorus of Atlanta rapper, T.I’s famous track, “Swagga Like Us” which featured megastars Kanye West, Jay-Z and Lil Wayne.\n\nhttps://www.youtube.com/watch?v=wjL-3Rlwh8U\n\n\n\n\nTruly, no one else has M.I.A.’s swag…\n\nFlipping the bird on Superbowl = SWAG"
            }
          }
        ]
      },
      {
        "id": 91891,
        "fragment": "Get high like planes",
        "annotations": [
          {
            "body": {
              "plain": "M.I.A revealed the meaning of paper planes in an interview with The Daily Beast:\n\nWe make our own visa. A paper plane is the visa itself."
            }
          }
        ]
      }
    ],
    "external_bpm_reference": null,
    "external_key_reference": null,
    "external_source": null,
    "fetched_at": "2026-03-16T18:57:54.759279+00:00"
  },
  "color": {
    "hex": "#AC8B29",
    "hue": 45,
    "saturation": 0.6162,
    "luminance": 0.416900008916855,
    "edge_sharpness": 0.6449,
    "texture_granularity": 0.8402,
    "gradient_motion": 0.531799972057343,
    "color_depth": 0.3848,
    "color_layering": 0.6588,
    "palette_harmony": 0.997,
    "contrast_composition": 0.530900001525879,
    "algorithm_version": "1.0",
    "generated_at": "2026-03-22T16:25:31.639698+00:00",
    "oklch_lightness": 0.650543,
    "oklch_chroma": 0.135013,
    "oklch_hue": 93.3
  },
  "temporal": {
    "bpm": 172,
    "bpm_raw": null,
    "tempo_variability": 0.0254734985275749,
    "groove_stability": 0.582029123947692,
    "swing_feel": 0.880260229110718,
    "rhythmic_density": 0.840245426656062,
    "syncopation_score": 0.480119284284689,
    "beat_clarity": 0.250830241867057,
    "library_primary": "librosa",
    "library_secondary": "essentia",
    "analyzed_at": "2026-03-22T16:25:27.156285+00:00",
    "raw_librosa_bpm": 172.266,
    "bpm_octave_corrected": true,
    "time_signature": null,
    "beats_per_bar": null,
    "tempo_map": [
      {
        "bpm": 172.3,
        "start_seconds": 0
      },
      {
        "bpm": 86.1,
        "start_seconds": 75
      },
      {
        "bpm": 172.3,
        "start_seconds": 90
      }
    ],
    "beat_timestamps": [
      0.673378684807256,
      1.04489795918367,
      1.39319727891156,
      1.74149659863946,
      2.08979591836735,
      2.43809523809524,
      2.78639455782313,
      3.13469387755102,
      3.48299319727891,
      3.8312925170068,
      4.17959183673469,
      4.55111111111111,
      4.899410430839,
      5.22448979591837,
      5.59600907029478,
      5.94430839002268,
      6.26938775510204,
      6.64090702947846,
      6.96598639455782,
      7.33750566893424,
      7.68580498866213,
      8.03410430839002,
      8.38240362811791,
      8.7307029478458,
      9.0790022675737,
      9.42730158730159,
      9.77560090702948,
      10.1239002267574,
      10.4721995464853,
      10.8204988662132,
      11.168798185941,
      11.5170975056689,
      11.8653968253968,
      12.2136961451247,
      12.5619954648526,
      12.887074829932,
      13.2585941043084,
      13.6068934240363,
      13.9551927437642,
      14.2802721088435,
      14.6285714285714,
      15.0000907029478,
      15.3483900226757,
      15.6966893424036,
      16.0449886621315,
      16.3932879818594,
      16.7415873015873,
      17.0898866213152,
      17.4149659863946,
      17.786485260771,
      18.1347845804989,
      18.4830839002268,
      18.8313832199546,
      19.1796825396825,
      19.5279818594104,
      19.8762811791383,
      20.2013605442177,
      20.5728798185941,
      20.921179138322,
      21.2694784580499,
      21.6409977324263,
      21.9660770975057,
      22.3143764172336,
      22.6626757369615,
      23.0341950113379,
      23.3824943310658,
      23.7307936507937,
      24.055873015873,
      24.4273922902494,
      24.7756916099773,
      25.1239909297052,
      25.4722902494331,
      25.820589569161,
      26.1688888888889,
      26.5171882086168,
      26.8654875283447,
      27.2137868480726,
      27.5388662131519,
      27.9103854875283,
      28.2586848072562,
      28.5837641723356,
      28.955283446712,
      29.3035827664399,
      29.6518820861678,
      29.9769614512472,
      30.3484807256236,
      30.6967800453515,
      31.0450793650794,
      31.3701587301587,
      31.7416780045351,
      32.089977324263,
      32.4382766439909,
      32.7633560090703,
      33.1116553287982,
      33.4831746031746,
      33.8314739229025,
      34.1797732426304,
      34.5280725623583,
      34.8531519274376,
      35.2014512471655,
      35.5729705215419,
      35.9212698412698,
      36.2927891156463,
      36.6410884353742,
      36.9661678004535,
      37.3144671201814,
      37.6627664399093,
      37.9646258503401,
      38.312925170068,
      38.6844444444444,
      39.0327437641723,
      39.4042630385488,
      39.7525623582766,
      40.1240816326531,
      40.472380952381,
      40.8206802721088,
      41.1689795918367,
      41.5172789115646,
      41.8655782312925,
      42.2138775510204,
      42.5621768707483,
      42.9104761904762,
      43.2587755102041,
      43.607074829932,
      43.9321541950113,
      44.3036734693878,
      44.6519727891156,
      45.0002721088435,
      45.3253514739229,
      45.6736507936508,
      46.0219501133787,
      46.347029478458,
      46.7185487528345,
      47.0900680272109,
      47.4383673469388,
      47.7866666666667,
      48.111746031746,
      48.4600453514739,
      48.8083446712018,
      49.1334240362812,
      49.4817233560091,
      49.8532426303855,
      50.2015419501134,
      50.5730612244898,
      50.9213605442177,
      51.2696598639456,
      51.6179591836735,
      51.9662585034014,
      52.2913378684807,
      52.6628571428571,
      53.0343764172336,
      53.3826757369615,
      53.7077551020408,
      54.0560544217687,
      54.4275736961451,
      54.775873015873,
      55.1009523809524,
      55.4724716553288,
      55.8207709750567,
      56.1690702947846,
      56.5173696145125,
      56.8656689342404,
      57.2139682539683,
      57.5622675736961,
      57.910566893424,
      58.2588662131519,
      58.6071655328798,
      58.9554648526077,
      59.2805442176871,
      59.628843537415,
      59.9771428571429,
      60.3254421768708,
      60.6969614512472,
      61.0452607709751,
      61.3935600907029,
      61.7418594104308,
      62.0901587301587,
      62.4384580498866,
      62.7867573696145,
      63.1350566893424,
      63.4833560090703,
      63.8316553287982,
      64.1799546485261,
      64.528253968254,
      64.8765532879819,
      65.2248526077097,
      65.5731519274376,
      65.9214512471655,
      66.2697505668934,
      66.6180498866213,
      66.9663492063492,
      67.3146485260771,
      67.662947845805,
      68.0112471655329,
      68.3595464852608,
      68.7078458049887,
      69.0561451247166,
      69.4044444444445,
      69.7527437641723,
      70.1010430839002,
      70.4493424036281,
      70.797641723356,
      71.1459410430839,
      71.4942403628118,
      71.8657596371882,
      72.2140589569161,
      72.562358276644,
      72.9106575963719,
      73.2589569160998,
      73.6072562358277,
      73.9555555555555,
      74.3038548752834,
      74.6521541950113,
      75.0004535147392,
      75.3487528344671,
      75.697052154195,
      76.0221315192744,
      76.3704308390023,
      76.7187301587302,
      77.0670294784581,
      77.4385487528345,
      77.7868480725624,
      78.1351473922902,
      78.4834467120181,
      78.831746031746,
      79.1800453514739,
      79.5283446712018,
      79.8766439909297,
      80.2249433106576,
      80.5732426303855,
      80.9215419501134,
      81.2698412698413,
      81.6181405895692,
      81.9664399092971,
      82.3147392290249,
      82.6630385487528,
      83.0113378684807,
      83.3596371882086,
      83.7079365079365,
      84.0562358276644,
      84.4045351473923,
      84.7528344671202,
      85.1011337868481,
      85.4262131519274,
      85.7745124716553,
      86.1228117913832,
      86.4943310657596,
      86.819410430839,
      87.1909297052154,
      87.5392290249433,
      87.8643083900227,
      88.2358276643991,
      88.584126984127,
      88.9324263038549,
      89.2807256235828,
      89.6522448979592,
      90.0005442176871,
      90.348843537415,
      90.6971428571429,
      91.0454421768708,
      91.3937414965986,
      91.7420408163265,
      92.0903401360544,
      92.3921995464853,
      92.7637188208617,
      93.1352380952381,
      93.483537414966,
      93.8318367346939,
      94.1801360544218,
      94.5284353741497,
      94.8767346938776,
      95.2250340136054,
      95.5733333333333,
      95.9216326530612,
      96.2699319727891,
      96.618231292517,
      96.9433106575964,
      97.3148299319728,
      97.6631292517007,
      97.98820861678,
      98.3597278911565,
      98.7080272108844,
      99.0563265306122,
      99.4046258503401,
      99.752925170068,
      100.101224489796,
      100.449523809524,
      100.797823129252,
      101.14612244898,
      101.494421768707,
      101.819501133787,
      102.191020408163,
      102.56253968254,
      102.910839002268,
      103.235918367347,
      103.560997732426,
      103.909297052154,
      104.280816326531,
      104.629115646258,
      104.977414965986,
      105.325714285714,
      105.674013605442,
      106.045532879819,
      106.393832199546,
      106.742131519274,
      107.090430839002,
      107.43873015873,
      107.787029478458,
      108.135328798186,
      108.483628117914,
      108.808707482993,
      109.157006802721,
      109.528526077098,
      109.876825396825,
      110.225124716553,
      110.573424036281,
      110.898503401361,
      111.270022675737,
      111.618321995465,
      111.966621315193,
      112.314920634921,
      112.663219954649,
      113.011519274376,
      113.359818594104,
      113.708117913832,
      114.05641723356,
      114.404716553288,
      114.729795918367,
      115.078095238095,
      115.449614512472,
      115.7979138322,
      116.146213151927,
      116.471292517007,
      116.842811791383,
      117.191111111111,
      117.539410430839,
      117.887709750567,
      118.236009070295,
      118.607528344671,
      118.955827664399,
      119.304126984127,
      119.652426303855,
      120.000725623583,
      120.349024943311,
      120.697324263039,
      121.045623582766,
      121.393922902494,
      121.742222222222,
      122.067301587302,
      122.438820861678,
      122.787120181406,
      123.135419501134,
      123.460498866213,
      123.83201814059,
      124.180317460317,
      124.528616780045,
      124.876916099773,
      125.225215419501,
      125.573514739229,
      125.921814058957,
      126.246893424036,
      126.595192743764,
      126.943492063492,
      127.315011337868,
      127.663310657596,
      128.011609977324,
      128.359909297052,
      128.70820861678,
      129.056507936508,
      129.404807256236,
      129.753106575964,
      130.101405895692,
      130.449705215419,
      130.798004535147,
      131.146303854875,
      131.494603174603,
      131.842902494331,
      132.191201814059,
      132.539501133787,
      132.887800453515,
      133.236099773243,
      133.607619047619,
      133.955918367347,
      134.304217687075,
      134.629297052154,
      135.000816326531,
      135.349115646258,
      135.674195011338,
      136.045714285714,
      136.394013605442,
      136.74231292517,
      137.090612244898,
      137.415691609977,
      137.763990929705,
      138.112290249433,
      138.460589569161,
      138.832108843537,
      139.180408163265,
      139.528707482993,
      139.877006802721,
      140.225306122449,
      140.573605442177,
      140.921904761905,
      141.270204081633,
      141.618503401361,
      141.966802721088,
      142.315102040816,
      142.663401360544,
      143.011700680272,
      143.36,
      143.685079365079,
      144.056598639456,
      144.404897959184,
      144.753197278912,
      145.101496598639,
      145.449795918367,
      145.798095238095,
      146.146394557823,
      146.494693877551,
      146.842993197279,
      147.14485260771,
      147.493151927438,
      147.841451247166,
      148.166530612245,
      148.491609977324,
      148.839909297052,
      149.164988662132,
      149.513287981859,
      149.861587301587,
      150.186666666667,
      150.534965986395,
      150.883265306122,
      151.254784580499,
      151.603083900227,
      151.951383219955,
      152.299682539683,
      152.671201814059,
      153.019501133787,
      153.367800453515,
      153.692879818594,
      154.041179138322,
      154.412698412698,
      154.830657596372,
      155.225396825397,
      155.573696145125,
      155.921995464853,
      156.27029478458,
      156.618594104308,
      156.966893424036,
      157.315192743764,
      157.663492063492,
      158.01179138322,
      158.360090702948,
      158.708390022676,
      159.056689342404,
      159.404988662132,
      159.730068027211,
      160.101587301587,
      160.449886621315,
      160.798185941043,
      161.146485260771,
      161.494784580499,
      161.843083900227,
      162.191383219955,
      162.539682539683,
      162.88798185941,
      163.236281179138,
      163.584580498866,
      163.956099773243,
      164.304399092971,
      164.62947845805,
      164.977777777778,
      165.326077097506,
      165.674376417234,
      166.022675736961,
      166.370975056689,
      166.719274376417,
      167.067573696145,
      167.415873015873,
      167.787392290249,
      168.135691609977,
      168.483990929705,
      168.832290249433,
      169.180589569161,
      169.528888888889,
      169.877188208617,
      170.225487528345,
      170.573786848073,
      170.898866213152,
      171.24716553288,
      171.595464852608,
      171.943764172336,
      172.315283446712,
      172.66358276644,
      173.011882086168,
      173.360181405896,
      173.708480725624,
      174.056780045351,
      174.405079365079,
      174.753378684807,
      175.101678004535,
      175.449977324263,
      175.798276643991,
      176.146575963719,
      176.494875283447,
      176.843174603175,
      177.191473922903,
      177.53977324263,
      177.888072562358,
      178.236371882086,
      178.584671201814,
      178.932970521542,
      179.28126984127,
      179.629569160998,
      179.977868480726,
      180.326167800454,
      180.674467120181,
      181.022766439909,
      181.371065759637,
      181.719365079365,
      182.067664399093,
      182.415963718821,
      182.764263038549,
      183.112562358277,
      183.460861678005,
      183.832380952381,
      184.180680272109,
      184.528979591837,
      184.877278911565,
      185.225578231293,
      185.57387755102,
      185.922176870748,
      186.270476190476,
      186.618775510204,
      186.967074829932,
      187.31537414966,
      187.640453514739,
      187.988752834467,
      188.337052154195,
      188.685351473923,
      189.056870748299,
      189.405170068027,
      189.753469387755,
      190.101768707483,
      190.473287981859,
      190.821587301587,
      191.146666666667,
      191.518185941043,
      191.912925170068,
      192.238004535147,
      192.539863945578,
      192.864943310658,
      193.213242630385,
      193.584761904762,
      193.93306122449,
      194.281360544218,
      194.606439909297,
      194.954739229025,
      195.326258503401,
      195.697777777778,
      196.046077097506,
      196.371156462585,
      196.696235827664,
      197.021315192744,
      197.369614512472,
      197.7179138322,
      198.112653061224,
      198.460952380952,
      198.832471655329,
      199.180770975057,
      199.529070294785,
      199.877369614512,
      200.22566893424,
      200.55074829932,
      200.899047619048
    ],
    "beat_strengths": [
      0.999999999994368,
      0.328770523013376,
      0.390129881161545,
      0.377798029507076,
      0.376693792319225,
      0.28948114857873,
      0.240851211737686,
      0.331346977735043,
      0.246518791714336,
      0.16771311497293,
      0.353432128315482,
      0.304454203138344,
      0.314474060985321,
      0.213902228814173,
      0.210944512095804,
      0.221774270456425,
      0.25972775025551,
      0.272191383156613,
      0.466255129996166,
      0.260699290507691,
      0.201740673906673,
      0.262480526837083,
      0.19738642910191,
      0.196781800611055,
      0.207799566450864,
      0.272303017432426,
      0.221395684893495,
      0.258857387924451,
      0.237602807886184,
      0.27949065555463,
      0.457909236949684,
      0.221596485598024,
      0.138316583063528,
      0.21864307860952,
      0.253838859368288,
      0.378558955664674,
      0.20211122876409,
      0.240567193492139,
      0.240067243575975,
      0.124484492379681,
      0.148352160999117,
      0.188664269760167,
      0.499442237689271,
      0.268110080741549,
      0.336052623396277,
      0.203470523076632,
      0.477920486823966,
      0.192655826850566,
      0.250315154522731,
      0.26651202888158,
      0.282887698805464,
      0.23749629947055,
      0.2886306143388,
      0.309432758047073,
      0.341506629203084,
      0.136585433400668,
      0.240776764124677,
      0.252017330618031,
      0.516842260336723,
      0.230109332458584,
      0.142018738373996,
      0.245223827496897,
      0.533887399244967,
      0.315239753653089,
      0.10043861118663,
      0.194433849918582,
      0.235154042128282,
      0.373071853750759,
      0.201481074206142,
      0.209446756642142,
      0.241423079569486,
      0.119406512822004,
      0.0949216266330207,
      0.163808542706721,
      0.409807002401129,
      0.229130563814612,
      0.328415402998968,
      0.262746347642093,
      0.40072297619731,
      0.228547238680337,
      0.226977773101473,
      0.286033073699146,
      0.302324167063394,
      0.224839864909821,
      0.286466031902156,
      0.338894691957444,
      0.331403225588756,
      0.168506564600285,
      0.200577115390372,
      0.276327539716726,
      0.501561359530898,
      0.238771556856823,
      0.140020582948866,
      0.289253529887953,
      0.553318600391113,
      0.432709667242927,
      0.224151282163311,
      0.140058603115893,
      0.222209927486283,
      0.239622357763151,
      0.138388904484584,
      0.22185530386352,
      0.239432332341983,
      0.14850599207751,
      0.153637946837841,
      0.296530813521226,
      0.438674317648866,
      0.198303949206957,
      0.257374232512322,
      0.287001104694444,
      0.253160186945392,
      0.318323200950601,
      0.15049639230518,
      0.222392327019253,
      0.261581011878136,
      0.143168597160828,
      0.162722157360261,
      0.234356696041712,
      0.231560669198197,
      0.271114065743254,
      0.183792416974227,
      0.189336390956016,
      0.262580649403507,
      0.21450650754732,
      0.253585021894322,
      0.256363273023276,
      0.382033159728903,
      0.297228551896881,
      0.206915404158681,
      0.130866190634787,
      0.239797694877295,
      0.296748577333582,
      0.198086441495538,
      0.234625611536021,
      0.247593810563315,
      0.19523384070427,
      0.24743399357608,
      0.331348791346455,
      0.352325120188264,
      0.129686800053084,
      0.223472033476303,
      0.340876473881364,
      0.188513682622814,
      0.316904200719123,
      0.142134117934462,
      0.23153480667048,
      0.290747877947418,
      0.204257946955718,
      0.225122950095584,
      0.223778845572902,
      0.184915020039459,
      0.212965414251007,
      0.361138594110361,
      0.193627773012548,
      0.232947530594432,
      0.212416213111974,
      0.215065857909714,
      0.223596580238879,
      0.293907211671527,
      0.200773148491058,
      0.136536432525259,
      0.233226634046748,
      0.307625641818184,
      0.31421319126116,
      0.186853070960839,
      0.241248212816306,
      0.262825311234001,
      0.224615974040664,
      0.248362811190165,
      0.323708562861354,
      0.501198604532106,
      0.244517818050347,
      0.136546113669328,
      0.146370302714365,
      0.310876843908736,
      0.217685282133824,
      0.128601160794103,
      0.259836449024996,
      0.346993243165608,
      0.357917799407049,
      0.2029148700245,
      0.259264366483431,
      0.315110946828746,
      0.251201947750969,
      0.129616524953592,
      0.306348822956763,
      0.392813328982987,
      0.236821193751393,
      0.128637826913701,
      0.0761405394643447,
      0.278434525563155,
      0.170745000476304,
      0.211934050336569,
      0.188633508906074,
      0.366757330422613,
      0.408064183832366,
      0.176920479148481,
      0.247897705105598,
      0.242473037634734,
      0.212428111548177,
      0.224642560861364,
      0.382761464851616,
      0.500621348724115,
      0.27978699725839,
      0.139252856579979,
      0.145216488545363,
      0.258008967026573,
      0.19967285795088,
      0.0787088926372851,
      0.23021154841516,
      0.292694880482983,
      0.304784633124178,
      0.181293569999743,
      0.238447566798418,
      0.275082565745998,
      0.226163374876408,
      0.177102259639349,
      0.230167442100979,
      0.469153725640039,
      0.222260088208367,
      0.110639861727381,
      0.0783140459471328,
      0.29186396606494,
      0.20373897700387,
      0.167943982153692,
      0.213366985511322,
      0.265233139656246,
      0.166736247850598,
      0.362991886891792,
      0.307061117310034,
      0.405252902153087,
      0.0953741539315781,
      0.22403321695204,
      0.222989180770446,
      0.479535018532873,
      0.234580142540116,
      0.347587651081175,
      0.184516076345363,
      0.554767902619192,
      0.30286431983627,
      0.20509791147704,
      0.304454965344512,
      0.274689006374472,
      0.0786314576128301,
      0.408781395133651,
      0.101139252124259,
      0.373694186867492,
      0.214231674429212,
      0.19268129027146,
      0.270535310404755,
      0.225816951792162,
      0.164029598387607,
      0.348917465544646,
      0.289098615552433,
      0.423869687135426,
      0.299989179554307,
      0.260463946282976,
      0.210527779763618,
      0.297981714138938,
      0.128264527212169,
      0.339132403991219,
      0.278247695054569,
      0.362350292142197,
      0.171351285970577,
      0.257101395550242,
      0.182452315864538,
      0.430888967525498,
      0.192670108563822,
      0.342074217674014,
      0.166668619411188,
      0.495098749907003,
      0.310150939543325,
      0.168660197259226,
      0.319063241850192,
      0.280895874306028,
      0.148800232501906,
      0.385879006719879,
      0.175734566710401,
      0.386638361913803,
      0.155353189525953,
      0.190105570440458,
      0.224383757325337,
      0.220182647314918,
      0.167904805558188,
      0.317526152993167,
      0.260467877660769,
      0.489286814071315,
      0.374892997356068,
      0.136956840397825,
      0.176718373691327,
      0.267049814614787,
      0.262730397514834,
      0.158942683505749,
      0.212297524792009,
      0.260665208360035,
      0.132484240039256,
      0.248643634533208,
      0.178402530039419,
      0.517273620456944,
      0.280367957556035,
      0.323028399027387,
      0.240231838823764,
      0.277564343472544,
      0.149907579734196,
      0.163578056619479,
      0.282214390843671,
      0.363173031621923,
      0.155147373816045,
      0.228202350466615,
      0.219950689887653,
      0.234881850923752,
      0.0987404306305779,
      0.258677959516431,
      0.244991142621485,
      0.398593058550866,
      0.285834610111431,
      0.387951581539638,
      0.310702549243674,
      0.461914230930617,
      0.116005919006554,
      0.22867828409318,
      0.178086969677608,
      0.257479976824243,
      0.240869670856354,
      0.118890055694524,
      0.197954096196768,
      0.280596697703011,
      0.0982429110354213,
      0.298158624386697,
      0.210554207352489,
      0.576672780083899,
      0.264739003866403,
      0.380093865493356,
      0.249026088020678,
      0.331118694877647,
      0.12406895962966,
      0.210795011495872,
      0.34082383292418,
      0.29726297102499,
      0.11051174097802,
      0.199721366158517,
      0.224151844303263,
      0.19379355948592,
      0.109187333056205,
      0.313000106879005,
      0.22077416574404,
      0.333811406577745,
      0.223188060790376,
      0.293563161552705,
      0.247671113440918,
      0.365244244107709,
      0.0807888378547684,
      0.231778260056904,
      0.228873020200862,
      0.338209385923024,
      0.337400923331934,
      0.214491772736249,
      0.269389682301668,
      0.279496651838829,
      0.222239112759232,
      0.231477345759419,
      0.289082368193117,
      0.460602023065933,
      0.212666080957747,
      0.131008498565269,
      0.140886305434793,
      0.293541878859262,
      0.214399345735986,
      0.144035747052307,
      0.229911137131453,
      0.345629383236556,
      0.388872126279813,
      0.184129464859693,
      0.267417367641274,
      0.290232884529389,
      0.254107428860194,
      0.214359557416683,
      0.397868770199075,
      0.438098022998758,
      0.274732592827705,
      0.11835491074393,
      0.140408422104998,
      0.223312195899931,
      0.153204495379034,
      0.180303896346407,
      0.196341318879828,
      0.266748073532307,
      0.375282712556026,
      0.175349293247387,
      0.208527772615888,
      0.234473285308823,
      0.192248637698497,
      0.231380179303176,
      0.341064870674093,
      0.514187367686487,
      0.260395407253316,
      0.136414165996576,
      0.158606111074154,
      0.260184819275823,
      0.211889039492094,
      0.0917514680296594,
      0.25792543763993,
      0.310919131690796,
      0.356131097046896,
      0.15997980952141,
      0.258453685586734,
      0.292837762025095,
      0.247314359178843,
      0.0851726098622904,
      0.281523408432089,
      0.481615037431385,
      0.20330949617167,
      0.126875701283673,
      0.0827669791198858,
      0.29232654537682,
      0.203906764591996,
      0.101517081396655,
      0.20181511953199,
      0.33431778787963,
      0.391480609062438,
      0.589011380591836,
      0.14564869886831,
      0.0582811636029238,
      0.250834224081893,
      0.0426278685793567,
      0.0381665008636709,
      0.188650739530077,
      0.0314339057549704,
      0.116863335501691,
      0.138683442810915,
      0.197549780252902,
      0.100778465201375,
      0.0590295758510452,
      0.0102675655733105,
      0.259651694534184,
      0.435861653644122,
      0.119007814787472,
      0.120800166409022,
      0.122188992726495,
      0.185317828759329,
      0.0951127437569295,
      0.241352745153015,
      0.034607120596758,
      0.283827000260979,
      0.136495921208694,
      0.0776057074654403,
      0.300111392347033,
      0.246140470507226,
      0.202931048311275,
      0.152793798100112,
      0.341320129562988,
      0.154788086357753,
      0.219395887841942,
      0.246066351953257,
      0.356135689321032,
      0.260154993637569,
      0.17581745961002,
      0.20236758837862,
      0.320398002361381,
      0.224497343108349,
      0.310514783961076,
      0.216865899758972,
      0.400864417144427,
      0.404535939381208,
      0.169504095705458,
      0.309982699757463,
      0.347954425590264,
      0.210232919941466,
      0.173389505106042,
      0.189158205539113,
      0.387026475049467,
      0.323099529686246,
      0.199198495609275,
      0.179927387611252,
      0.261784630149334,
      0.212855729241441,
      0.293501500869147,
      0.281370285809366,
      0.444537370420479,
      0.267786838946497,
      0.255691765795105,
      0.204401331218889,
      0.270978146165419,
      0.259563968365538,
      0.168709412845295,
      0.224041625223558,
      0.241441324534282,
      0.196367721630653,
      0.225524883102712,
      0.34526783079861,
      0.512083409704581,
      0.268016864231695,
      0.152680910854688,
      0.161816232923534,
      0.292580770000838,
      0.212039827728362,
      0.112804370081727,
      0.260857765597987,
      0.328280133776363,
      0.363169432330165,
      0.195990405256448,
      0.261882112045168,
      0.324678826026432,
      0.254511564148798,
      0.146257612391638,
      0.390616951913574,
      0.369548753685631,
      0.242656279068671,
      0.114248383409921,
      0.158085535330835,
      0.28619883847849,
      0.177131476586411,
      0.185375779837834,
      0.207855363812111,
      0.384216577325339,
      0.425171922355013,
      0.203040669894668,
      0.276648234837707,
      0.26711207121021,
      0.206560828750621,
      0.217848967988595,
      0.379763419651683,
      0.476597261665949,
      0.274253159108004,
      0.114955806687035,
      0.156171457435735,
      0.241329258379328,
      0.194565515180207,
      0.0650007618851241,
      0.231210815101279,
      0.260574654232174,
      0.280714931565056,
      0.166174827287919,
      0.213136900766442,
      0.267025825427257,
      0.216922900408777,
      0.196533302010703,
      0.266453254768786,
      0.486362710071891,
      0.25303055139622,
      0.120265345657735,
      0.0886226495026127,
      0.282752277043569,
      0.193455260980361,
      0.0114627619347013,
      0.203883055685489,
      0.366305018820378,
      0.310192555796203,
      0.277898023466243,
      0.0882098643332957,
      0.477545623241121,
      0.149726808921303,
      0.247490709482049,
      0.259845447151499,
      0.536524215939514,
      0.106129390240713,
      0.220703270645444,
      0.236206197010921,
      0.447759118443501,
      0.218993214199418,
      0.147151522085733,
      0.250576850062738,
      0.174670795206717,
      0.187665871572661,
      0.204100581592788,
      0.183984906417127,
      0.559984327615084,
      0.247115671288995,
      0.18278360600846,
      0.241250964413638,
      0.422358625918945,
      0.0477666677090685,
      0.0532569687198133,
      0.151422657324598,
      0.438243742334433
    ],
    "onset_timestamps": [
      0.673378684807256,
      1.04489795918367,
      1.39319727891156,
      1.74149659863946,
      2.08979591836735,
      2.43809523809524,
      2.7631746031746,
      3.13469387755102,
      3.45977324263039,
      3.80807256235828,
      4.17959183673469,
      4.52789115646259,
      4.87619047619048,
      5.22448979591837,
      5.41024943310658,
      5.59600907029478,
      5.92108843537415,
      6.26938775510204,
      6.61768707482993,
      6.96598639455782,
      7.19818594104308,
      7.31428571428571,
      7.66258503401361,
      8.03410430839002,
      8.24308390022676,
      8.35918367346939,
      8.70748299319728,
      9.05578231292517,
      9.42730158730159,
      9.75238095238095,
      10.1239002267574,
      10.4489795918367,
      10.681179138322,
      10.7972789115646,
      11.0294784580499,
      11.1455782312925,
      11.3313378684807,
      11.4938775510204,
      12.2136961451247,
      12.492335600907,
      12.5619954648526,
      12.7245351473923,
      12.887074829932,
      13.0728344671202,
      13.2585941043084,
      13.4211337868481,
      13.6068934240363,
      13.9087528344671,
      13.9551927437642,
      14.4428117913832,
      14.5821315192744,
      14.7911111111111,
      15.0000907029478,
      15.1626303854875,
      15.3483900226757,
      15.5109297052154,
      15.6966893424036,
      15.8592290249433,
      16.021768707483,
      16.3700680272109,
      16.5558276643991,
      16.7415873015873,
      16.9273469387755,
      17.0898866213152,
      17.2524263038549,
      17.391746031746,
      17.786485260771,
      17.9722448979592,
      18.1347845804989,
      18.3205442176871,
      18.4830839002268,
      18.6456235827664,
      18.8081632653061,
      19.1796825396825,
      19.3654421768707,
      19.5047619047619,
      19.7137414965986,
      20.038820861678,
      20.1781405895692,
      20.5728798185941,
      20.7586394557823,
      20.921179138322,
      21.1069387755102,
      21.2694784580499,
      21.4320181405896,
      21.5945578231293,
      21.7803174603175,
      21.9428571428571,
      22.1053968253968,
      22.3143764172336,
      22.5001360544218,
      22.6626757369615,
      22.8484353741497,
      23.0109750566893,
      23.3592743764172,
      23.5450340136054,
      23.6611337868481,
      23.7307936507937,
      23.8933333333333,
      24.0326530612245,
      24.2416326530612,
      24.4273922902494,
      24.5899319727891,
      24.7524716553288,
      24.938231292517,
      25.1239909297052,
      25.2865306122449,
      25.4026303854875,
      25.6116099773243,
      25.7509297052154,
      25.9599092970522,
      26.0760090702948,
      26.3314285714286,
      26.4939682539683,
      26.6797278911565,
      26.8422675736961,
      27.0280272108844,
      27.190566893424,
      27.3763265306122,
      27.5388662131519,
      27.7246258503401,
      27.8871655328798,
      28.072925170068,
      28.2586848072562,
      28.3980045351474,
      28.5605442176871,
      28.955283446712,
      29.3035827664399,
      29.4661224489796,
      29.6518820861678,
      29.8144217687075,
      29.9769614512472,
      30.1395011337868,
      30.3484807256236,
      30.5110204081633,
      30.6735600907029,
      30.8593197278912,
      30.9754195011338,
      31.0450793650794,
      31.207619047619,
      31.3469387755102,
      31.7416780045351,
      31.9274376417234,
      32.089977324263,
      32.4382766439909,
      32.6008163265306,
      32.92589569161,
      33.1116553287982,
      33.2509750566893,
      33.4831746031746,
      33.6457142857143,
      33.8314739229025,
      33.9475736961451,
      34.1797732426304,
      34.4584126984127,
      34.8299319727891,
      34.8763718820862,
      35.0389115646258,
      35.178231292517,
      35.4104308390023,
      35.5497505668934,
      35.7122902494331,
      35.8980498866213,
      36.1070294784581,
      36.1999092970522,
      36.2695691609977,
      36.4553287981859,
      36.6178684807256,
      36.7571882086168,
      36.942947845805,
      37.1287074829932,
      37.2912471655329,
      37.4770068027211,
      37.6395464852608,
      37.8485260770975,
      37.9414058956916,
      38.0110657596372,
      38.1271655328798,
      38.2897052154195,
      38.3825850340136,
      38.4986848072562,
      38.6844444444444,
      38.8469841269841,
      39.0095238095238,
      39.0791836734694,
      39.2417233560091,
      39.4042630385488,
      39.7293424036281,
      39.8686621315193,
      40.1008616780045,
      40.2169614512472,
      40.4491609977324,
      40.6349206349206,
      40.7974603174603,
      40.9832199546485,
      41.0993197278912,
      41.2850793650794,
      41.4708390022676,
      41.5172789115646,
      41.6798185941043,
      41.8191383219955,
      41.8655782312925,
      42.0281179138322,
      42.2138775510204,
      42.329977324263,
      42.5389569160998,
      42.9104761904762,
      43.0730158730159,
      43.2587755102041,
      43.5838548752834,
      43.7696145124717,
      43.9321541950113,
      44.0714739229025,
      44.2804535147392,
      44.4662131519274,
      44.6287528344671,
      44.8145124716553,
      44.977052154195,
      45.1395918367347,
      45.3253514739229,
      45.6039909297052,
      45.9987301587302,
      46.2077097505669,
      46.347029478458,
      46.5560090702948,
      46.7185487528345,
      46.8810884353742,
      47.0436281179138,
      47.0900680272109,
      47.3687074829932,
      47.4383673469388,
      47.7866666666667,
      47.9259863945578,
      48.111746031746,
      48.2742857142857,
      48.4600453514739,
      48.6225850340136,
      48.8083446712018,
      49.0173242630385,
      49.1102040816327,
      49.1798639455782,
      49.2959637188209,
      49.4585034013605,
      49.6674829931973,
      49.8532426303855,
      49.9925623582766,
      50.1783219954649,
      50.2247619047619,
      50.4105215419501,
      50.5730612244898,
      50.8749206349206,
      51.0374603174603,
      51.2696598639456,
      51.3857596371882,
      51.6179591836735,
      51.8037188208617,
      51.9662585034014,
      52.128798185941,
      52.2681179138322,
      52.4538775510204,
      52.6396371882086,
      52.8486167800454,
      52.964716553288,
      53.0343764172336,
      53.1969160997732,
      53.3594557823129,
      53.4987755102041,
      53.7077551020408,
      54.0560544217687,
      54.2418140589569,
      54.4275736961451,
      54.7526530612245,
      54.9384126984127,
      55.1009523809524,
      55.2402721088435,
      55.4492517006803,
      55.6350113378685,
      55.7975510204082,
      55.9833106575964,
      56.1458503401361,
      56.3316099773243,
      56.4477097505669,
      56.8656689342404,
      57.02820861678,
      57.1907482993197,
      57.3765079365079,
      57.5390476190476,
      57.7015873015873,
      57.910566893424,
      58.0498866213152,
      58.2356462585034,
      58.3981859410431,
      58.5839455782313,
      58.746485260771,
      58.9554648526077,
      59.1180045351474,
      59.2573242630385,
      59.3502040816327,
      59.628843537415,
      59.8146031746032,
      59.9771428571429,
      60.3254421768708,
      61.2078004535147,
      61.3935600907029,
      61.5560997732426,
      61.7418594104308,
      61.9043990929705,
      62.4384580498866,
      62.6242176870748,
      62.763537414966,
      62.9492970521542,
      63.1350566893424,
      63.2743764172336,
      63.4833560090703,
      63.6226757369615,
      63.8316553287982,
      63.9709750566893,
      64.1799546485261,
      64.3192743764172,
      64.528253968254,
      64.6907936507937,
      64.8533333333333,
      64.9462131519274,
      64.9926530612245,
      65.2248526077097,
      65.3873922902494,
      65.5499319727891,
      65.7589115646258,
      65.9214512471655,
      66.4787301587302,
      66.780589569161,
      66.9663492063492,
      67.3146485260771,
      67.4771882086168,
      67.662947845805,
      68.0112471655329,
      68.1970068027211,
      68.3595464852608,
      68.545306122449,
      68.7078458049887,
      68.8471655328798,
      69.0561451247166,
      69.1954648526077,
      69.4044444444445,
      69.5437641723356,
      69.7527437641723,
      70.1010430839002,
      70.2868027210884,
      70.4493424036281,
      70.5190022675737,
      70.5654421768707,
      70.797641723356,
      70.9834013605442,
      71.1459410430839,
      71.4942403628118,
      71.68,
      72.3765986394558,
      72.5391383219955,
      72.9106575963719,
      73.0731972789116,
      73.6072562358277,
      73.7697959183674,
      73.932335600907,
      74.1180952380952,
      74.2806349206349,
      74.4431746031746,
      74.6521541950113,
      74.7914739229025,
      74.9772335600907,
      75.1397732426304,
      75.3487528344671,
      75.4880725623583,
      75.697052154195,
      75.8595918367347,
      75.9989115646259,
      76.09179138322,
      76.1614512471655,
      76.3704308390023,
      76.5561904761905,
      76.7187301587302,
      76.9973696145125,
      77.0670294784581,
      77.949387755102,
      78.1351473922902,
      78.4834467120181,
      78.6459863945578,
      78.831746031746,
      79.1800453514739,
      79.3425850340136,
      79.5283446712018,
      79.6908843537415,
      79.8534240362812,
      80.0391836734694,
      80.2249433106576,
      80.5732426303855,
      80.7357823129252,
      80.9215419501134,
      81.2001814058957,
      81.4556009070295,
      81.5949206349206,
      81.7806802721088,
      81.9664399092971,
      82.1521995464853,
      82.3147392290249,
      82.4772789115646,
      82.6398185941043,
      82.8255782312925,
      83.0113378684807,
      83.3596371882086,
      83.5453968253968,
      83.7079365079365,
      83.8704761904762,
      84.0562358276644,
      84.172335600907,
      84.4045351473923,
      84.5438548752834,
      84.7528344671202,
      84.9385941043084,
      85.0779138321995,
      85.2868934240363,
      85.449433106576,
      85.6351927437642,
      85.7745124716553,
      86.1692517006803,
      86.33179138322,
      86.4943310657596,
      86.6800907029479,
      86.7961904761905,
      87.0283900226757,
      87.1909297052154,
      87.5160090702948,
      87.7249886621315,
      87.8410884353741,
      87.9107482993197,
      88.0732879818594,
      88.2358276643991,
      88.4215873015873,
      88.5609070294785,
      88.8395464852608,
      88.9324263038549,
      89.0485260770975,
      89.2807256235828,
      89.466485260771,
      89.6290249433107,
      89.9773242630386,
      90.348843537415,
      90.5113832199547,
      90.6971428571429,
      90.8596825396825,
      91.0222222222222,
      91.2079818594104,
      91.3705215419501,
      91.5562811791383,
      91.7420408163265,
      91.9045804988662,
      92.0671201814059,
      92.3689795918367,
      92.6243990929705,
      92.7637188208617,
      92.9262585034014,
      93.1120181405896,
      93.4603174603175,
      93.6460770975057,
      93.8086167800454,
      93.9943764172336,
      94.1801360544218,
      94.5052154195011,
      94.6909750566893,
      94.853514739229,
      95.0392743764172,
      95.2250340136054,
      95.3411337868481,
      95.5501133786848,
      95.7126530612245,
      95.9216326530612,
      96.0841723356009,
      96.2234920634921,
      96.2699319727891,
      96.4556916099773,
      96.618231292517,
      96.8039909297052,
      96.9200907029478,
      97.3148299319728,
      97.500589569161,
      97.6631292517007,
      97.8488888888889,
      97.9649886621315,
      98.1971882086168,
      98.3597278911565,
      98.6848072562358,
      98.870566893424,
      99.0098866213152,
      99.0563265306122,
      99.2188662131519,
      99.4046258503401,
      99.5671655328798,
      99.7297052154195,
      99.9154648526077,
      100.008344671202,
      100.101224489796,
      100.217324263039,
      100.449523809524,
      100.612063492063,
      100.797823129252,
      101.471201814059,
      101.680181405896,
      101.796281179138,
      102.028480725624,
      102.191020408163,
      102.376780045351,
      102.56253968254,
      102.910839002268,
      103.073378684807,
      103.212698412698,
      103.421678004535,
      103.537777777778,
      103.723537414966,
      103.909297052154,
      104.164716553288,
      104.280816326531,
      104.466575963719,
      104.629115646258,
      104.814875283447,
      104.977414965986,
      105.163174603175,
      105.302494331066,
      105.650793650794,
      105.85977324263,
      106.02231292517,
      106.208072562358,
      106.324172335601,
      106.718911564626,
      107.067210884354,
      107.252970521542,
      107.415510204082,
      107.60126984127,
      107.949569160998,
      108.135328798186,
      108.297868480726,
      108.483628117914,
      108.646167800454,
      108.808707482993,
      108.994467120181,
      109.133786848073,
      109.528526077098,
      109.714285714286,
      109.853605442177,
      110.039365079365,
      110.201904761905,
      110.387664399093,
      110.550204081633,
      110.735963718821,
      110.898503401361,
      111.084263038549,
      111.246802721088,
      111.432562358277,
      111.595102040816,
      111.780861678005,
      111.896961451247,
      112.059501133787,
      112.314920634921,
      112.663219954649,
      112.825759637188,
      112.965079365079,
      113.011519274376,
      113.174058956916,
      113.359818594104,
      114.05641723356,
      114.2189569161,
      114.358276643991,
      114.404716553288,
      114.590476190476,
      114.706575963719,
      114.892335600907,
      115.078095238095,
      115.333514739229,
      115.449614512472,
      115.612154195011,
      115.7979138322,
      115.983673469388,
      116.122993197279,
      116.308752834467,
      116.471292517007,
      116.842811791383,
      117.005351473923,
      117.191111111111,
      117.376870748299,
      117.469750566893,
      117.887709750567,
      118.236009070295,
      118.421768707483,
      118.584308390023,
      118.770068027211,
      118.932607709751,
      119.118367346939,
      119.280907029478,
      119.443446712018,
      119.559546485261,
      119.652426303855,
      119.814965986395,
      119.954285714286,
      120.163265306122,
      120.279365079365,
      120.67410430839,
      120.883083900227,
      121.022403628118,
      121.208163265306,
      121.370702947846,
      121.556462585034,
      121.719002267574,
      121.904761904762,
      122.067301587302,
      122.25306122449,
      122.415600907029,
      122.601360544218,
      122.763900226757,
      122.949659863946,
      123.065759637188,
      123.297959183673,
      123.437278911565,
      123.83201814059,
      123.994557823129,
      124.157097505669,
      124.342857142857,
      124.505396825397,
      124.667936507937,
      124.876916099773,
      125.016235827664,
      125.225215419501,
      125.364535147392,
      125.573514739229,
      125.71283446712,
      125.921814058957,
      126.084353741497,
      126.223673469388,
      126.386213151927,
      126.595192743764,
      126.780952380952,
      126.943492063492,
      127.29179138322,
      128.174149659864,
      128.359909297052,
      128.70820861678,
      128.87074829932,
      129.056507936508,
      129.404807256236,
      129.590566893424,
      129.753106575964,
      129.915646258503,
      130.101405895692,
      130.240725623583,
      130.449705215419,
      130.589024943311,
      130.798004535147,
      130.937324263039,
      131.146303854875,
      131.285623582766,
      131.494603174603,
      131.680362811791,
      131.842902494331,
      131.912562358277,
      131.959002267574,
      132.191201814059,
      132.353741496599,
      132.516281179138,
      132.725260770975,
      132.887800453515,
      133.073560090703,
      133.770158730159,
      133.932698412698,
      134.118458049887,
      134.280997732426,
      134.443537414966,
      134.629297052154,
      134.838276643991,
      134.977596371882,
      135.16335600907,
      135.32589569161,
      135.511655328798,
      135.674195011338,
      136.022494331066,
      136.161814058957,
      136.370793650794,
      136.510113378685,
      136.719092970522,
      136.881632653061,
      137.067392290249,
      137.253151927438,
      137.415691609977,
      137.485351473923,
      137.53179138322,
      137.763990929705,
      137.949750566893,
      138.112290249433,
      138.460589569161,
      138.646349206349,
      139.342947845805,
      139.505487528345,
      139.691247165533,
      139.877006802721,
      140.039546485261,
      140.573605442177,
      140.736145124717,
      140.898684807256,
      141.084444444444,
      141.246984126984,
      141.409523809524,
      141.618503401361,
      141.757823129252,
      141.966802721088,
      142.10612244898,
      142.315102040816,
      142.454421768707,
      142.663401360544,
      142.825941043084,
      142.988480725624,
      143.058140589569,
      143.127800453515,
      143.336780045351,
      143.52253968254,
      143.685079365079,
      143.963718820862,
      144.056598639456,
      144.915736961451,
      145.101496598639,
      145.287256235828,
      145.449795918367,
      145.612335600907,
      146.146394557823,
      146.494693877551,
      146.842993197279,
      147.121632653061,
      147.284172335601,
      148.143310657596,
      148.445170068027,
      148.700589569161,
      148.909569160998,
      149.095328798186,
      149.234648526077,
      150.186666666667,
      150.534965986395,
      150.860045351474,
      151.301224489796,
      151.370884353742,
      151.463764172336,
      151.649523809524,
      151.951383219955,
      152.067482993197,
      152.299682539683,
      152.764081632653,
      153.43746031746,
      154.157278911565,
      154.412698412698,
      154.598458049887,
      154.85387755102,
      155.039637188209,
      155.225396825397,
      155.550476190476,
      155.80589569161,
      156.247074829932,
      156.43283446712,
      156.59537414966,
      156.943673469388,
      157.291972789116,
      157.663492063492,
      157.84925170068,
      157.988571428571,
      158.17433106576,
      158.360090702948,
      158.708390022676,
      159.056689342404,
      159.219229024943,
      159.381768707483,
      159.730068027211,
      160.101587301587,
      160.264126984127,
      160.449886621315,
      160.612426303855,
      160.798185941043,
      160.960725623583,
      161.146485260771,
      161.494784580499,
      161.657324263039,
      161.843083900227,
      162.005623582766,
      162.191383219955,
      162.516462585034,
      162.88798185941,
      163.073741496599,
      163.236281179138,
      163.422040816327,
      163.584580498866,
      163.770340136054,
      163.932879818594,
      164.281179138322,
      164.46693877551,
      164.62947845805,
      164.815238095238,
      164.977777777778,
      165.279637188209,
      165.326077097506,
      165.674376417234,
      165.860136054422,
      166.022675736961,
      166.20843537415,
      166.370975056689,
      166.533514739229,
      166.719274376417,
      167.067573696145,
      167.253333333333,
      167.415873015873,
      167.601632653061,
      167.764172335601,
      167.949931972789,
      168.112471655329,
      168.460770975057,
      168.646530612245,
      168.809070294785,
      168.994829931973,
      169.157369614512,
      169.50566893424,
      169.66820861678,
      169.853968253968,
      169.993287981859,
      170.202267573696,
      170.364807256236,
      170.573786848073,
      170.736326530612,
      170.875646258503,
      170.968526077097,
      171.014965986395,
      171.24716553288,
      171.432925170068,
      171.595464852608,
      171.943764172336,
      172.82612244898,
      173.011882086168,
      173.174421768707,
      173.360181405896,
      173.522721088435,
      174.056780045351,
      174.219319727891,
      174.381859410431,
      174.567619047619,
      174.730158730159,
      174.892698412698,
      175.101678004535,
      175.240997732426,
      175.449977324263,
      175.589297052154,
      175.798276643991,
      175.937596371882,
      176.146575963719,
      176.309115646259,
      176.471655328798,
      176.610975056689,
      176.843174603175,
      177.005714285714,
      177.168253968254,
      177.377233560091,
      177.53977324263,
      178.398911564626,
      178.584671201814,
      178.770430839002,
      178.932970521542,
      179.095510204082,
      179.28126984127,
      179.629569160998,
      179.815328798186,
      179.977868480726,
      180.163628117914,
      180.326167800454,
      180.465487528345,
      180.674467120181,
      180.813786848073,
      181.022766439909,
      181.1620861678,
      181.371065759637,
      181.510385487528,
      181.719365079365,
      181.905124716553,
      182.044444444444,
      182.137324263039,
      182.183764172336,
      182.415963718821,
      182.578503401361,
      182.7410430839,
      183.112562358277,
      183.298321995465,
      183.994920634921,
      184.15746031746,
      184.343219954649,
      184.505759637188,
      184.691519274376,
      184.854058956916,
      185.225578231293,
      185.388117913832,
      185.550657596372,
      185.73641723356,
      185.8989569161,
      186.270476190476,
      186.386575963719,
      186.595555555556,
      186.734875283447,
      186.943854875283,
      187.292154195011,
      187.4779138322,
      187.617233560091,
      187.710113378685,
      187.988752834467,
      188.174512471655,
      188.337052154195,
      188.685351473923,
      189.567709750567,
      189.753469387755,
      190.101768707483,
      190.264308390023,
      190.519727891156,
      190.821587301587,
      190.93768707483,
      191.007346938775,
      191.123446712018,
      191.309206349206,
      191.518185941043,
      191.72716553288,
      191.912925170068,
      192.098684807256,
      192.284444444444,
      192.400544217687,
      192.539863945578,
      192.748843537415,
      192.841723356009,
      193.027482993197,
      193.213242630385,
      193.399002267574,
      193.584761904762,
      193.747301587302,
      193.93306122449,
      194.095600907029,
      194.374240362812,
      194.467120181406,
      194.606439909297,
      194.72253968254,
      194.792199546485,
      194.861859410431,
      194.954739229025,
      195.024399092971,
      195.117278911565,
      195.303038548753,
      195.488798185941,
      195.697777777778,
      195.883537414966,
      195.97641723356,
      196.162176870748,
      196.371156462585,
      196.464036281179,
      196.673015873016,
      196.719455782313,
      196.905215419501,
      196.998095238095,
      197.183854875283,
      197.276734693878,
      197.369614512472,
      197.462494331066,
      197.532154195011,
      197.7179138322,
      197.880453514739,
      198.112653061224,
      198.275192743764,
      198.460952380952,
      198.646712018141,
      198.832471655329,
      198.995011337868,
      199.157551020408,
      199.505850340136,
      199.76126984127,
      199.92380952381,
      200.039909297052,
      200.341768707483,
      200.434648526077,
      200.527528344671,
      200.643628117914,
      200.899047619048,
      201.061587301587,
      201.17768707483,
      201.433106575964
    ],
    "onset_strength_curve": [
      0,
      2.17788145996958,
      1.61537101777594,
      1.24110620139318,
      1.23200157743446,
      1.44036863706905,
      1.20226539622042,
      1.50865526938241,
      1.19451857229064,
      1.25270060141138,
      1.40763063257668,
      1.29993918539324,
      1.39925640883909,
      1.25247269962961,
      1.39242626503007,
      1.56449555537227,
      1.34371968753676,
      1.68900561498654,
      1.18779865504514,
      1.30762436874838,
      1.63399437499201,
      1.43220880108965,
      1.94525315248469,
      1.45031857823205,
      1.16726290502948,
      1.64704273320269,
      1.83685882523082,
      1.56910583047247,
      1.36265373080871,
      1.68753399327837,
      1.7867041825895,
      1.86698431225309,
      1.86327063317565,
      1.37799943091134,
      1.83914931681169,
      1.85740350640439,
      1.46168988091726,
      1.67912721650864,
      1.67277429873481,
      1.64035206152651,
      1.87914125910655,
      1.54421450129279,
      1.96601998577847,
      1.28740847652863,
      1.62107310800319,
      2.27012874052325,
      1.71954181359389,
      1.43987902504337,
      1.37521646732103,
      1.89763821047053,
      1.5212816058712,
      1.46574571015696,
      1.71236300868798,
      1.56477607023052,
      1.87721712600268,
      1.87609842852104,
      1.64116783989746,
      1.76412472199658,
      1.72998867581528,
      1.3884880764808,
      1.6592023503541,
      1.71031096035305,
      2.13495635568516,
      1.36434889183668,
      1.64222010236639,
      1.8630701339615,
      1.47367417096912,
      1.8877603589576,
      1.81877139384839,
      1.98850825398976,
      1.64408799692578,
      1.75386010252299,
      1.73380598601798,
      1.51873206748854,
      1.59010667841928,
      1.54848648547883,
      1.90671454152127,
      1.84620006445886,
      1.9874668797264,
      1.67101717114793,
      1.93817581111207,
      1.55642943664693,
      1.73738294322885,
      1.49834359108218,
      1.75852983765419,
      2.02414457493864,
      1.60196231863459,
      1.55552985993903,
      1.56768811309325,
      1.42601038040496,
      1.98691544139077,
      1.8547181353372,
      1.73549740054208,
      1.48844255360208,
      1.70163133564083,
      1.69815215376393,
      1.71041930759022,
      1.46892783565027,
      1.54475273652554,
      1.8835314730733,
      1.92537102437516,
      2.06966005607709,
      1.89523943638774,
      1.72891297780012,
      1.41945646447504,
      1.99793792728843,
      1.55859279990559,
      1.73991807221033,
      1.71496990096421,
      1.6287012943171,
      1.77366379464088,
      1.50982789311067,
      1.32591411398747,
      1.69719922986697,
      1.63094092212843,
      1.63619857400798,
      1.48901869462273,
      1.46131842183834,
      1.51785134364855,
      1.37988816694335,
      1.52224096482658,
      1.58105806707369,
      1.53144954972466,
      1.9148853430363,
      1.27412083262509,
      1.82763210856432,
      1.23706271881313,
      1.24974039371399,
      1.56766370153057,
      1.39891863485818,
      1.37488371315242,
      1.34571519464632,
      1.33640976861453,
      1.54472844878721,
      1.96084536298048,
      1.50425318376851,
      1.17895919011219,
      1.40971560419441,
      1.38872521801256,
      1.4552003077386,
      1.8439749567798,
      1.17108283879203,
      1.2480705247114,
      1.46616158411213,
      1.54872508630675,
      2.21677467956552,
      1.26543090354605,
      1.39013182858567,
      1.67182442875897,
      1.31098519042599,
      1.36141763912805,
      1.35381121737784,
      1.44620530668591,
      1.40668937679108,
      1.37830938969201,
      1.50391965263308,
      1.49405722888494,
      2.02915857282932,
      1.33908431921344,
      1.37345175927025,
      1.29690675483388,
      1.33641847463239,
      1.32224266437706,
      1.66107286488367,
      1.46793095187492,
      1.87262834037912,
      1.28699698393652,
      1.80109605832527,
      1.70570531001409,
      1.55684155819825,
      1.66722970772752,
      1.68735503159837,
      1.68398907532271,
      1.68214823892409,
      1.60923490223828,
      1.73395505400854,
      1.17425999730095,
      1.53907597358305,
      1.54950127625391,
      1.6953866473009,
      1.80459239275804,
      1.6420080899493,
      1.72708718703687,
      1.87315565877663,
      1.4223904373181,
      1.37941062552933,
      1.59712213622875,
      1.42587460157384,
      1.96925853407064,
      1.34873570074925,
      1.68161097557,
      1.5555874923263,
      1.56740400321288,
      1.68063975755338,
      1.90954592426446,
      1.64612012884666,
      1.53225802160496,
      1.6234911222671,
      1.83384940282377,
      1.26213048928055,
      1.71955235345795,
      1.22896002949962,
      1.66665551507935,
      1.79967391026399,
      1.75854667143695,
      1.57802647029262,
      2.01459246653292,
      1.27806896710286,
      1.90805602787004,
      1.5830471965958,
      1.38047208521354,
      1.726036823333,
      1.5455718943094,
      1.6314238395398,
      1.7443836654993,
      1.68113995428522,
      1.65821208923594,
      1.80368656954879,
      1.62717138545967,
      1.63602841880033,
      1.7747632492352,
      1.65210257372958,
      1.72890827594091,
      1.76766079784956,
      1.31350894788007,
      1.74149968824656,
      1.92402747798434,
      1.71371491121222,
      2.33314025624718,
      1.49963762677522,
      1.34981881324384,
      1.86210019982594,
      1.66530397380967,
      1.58797652390953,
      1.55729757223132,
      1.51405450535371,
      1.6148847932196,
      1.78148161245894,
      2.00388918763165,
      1.49594084256333,
      1.86282897276574,
      1.42503605971361,
      1.66637325006172,
      1.8113049864858,
      1.57521810243862,
      1.5985220291233,
      1.81464826986378,
      1.61395747081384,
      1.85411984183417,
      1.46432299354462,
      1.49206953358141,
      2.04481167827385,
      1.38607909219855,
      1.70600741553412,
      1.43866051342904,
      1.49380632559551,
      1.38479909350108,
      1.34483604708095,
      1.60687719851832,
      1.55234674693966,
      1.9592306468673,
      1.48828281240918,
      1.56063014266241,
      1.38523334091182,
      1.25721112120186,
      1.32390416713823,
      1.75447316943303,
      1.17529265465367,
      1.5045976673731,
      1.21435287196592,
      1.58839445919717,
      2.25993843562997,
      1.34525969866728,
      1.37373583068226,
      1.55764897198238,
      1.2979697524061,
      1.47255413639735,
      1.62406739489714,
      1.44414618792845,
      1.37012114282442,
      1.32409590043679,
      1.71573736927124,
      1.67025172510243,
      1.84983069504464,
      1.28724856390207,
      1.54197691363109,
      1.44275480110712,
      1.31648747824973,
      1.38376082361379,
      1.57917540110728,
      1.22587605261107,
      1.55690614003549,
      1.30254732112394,
      1.49726831339828,
      2.08293550304322,
      1.30846256220463,
      1.32915496001546,
      1.49140944168536,
      1.21555454410227,
      0.944848461500747,
      1.16874019620209,
      1.87951699284679,
      1.26999068120449,
      1.51462874045465,
      1.41670679374832,
      1.92830551849289,
      1.33006413741398,
      1.1696251288368,
      1.47596286783953,
      1.25406099184023,
      1.51813746022148,
      1.78346197418428,
      1.62649122318498,
      1.41420188039467,
      1.21737031553509,
      1.78466228371933,
      1.56783966891262,
      1.49508331268106,
      1.41303298859728,
      1.57407916041079,
      1.45485072406945,
      1.51873728753968,
      1.29732273544444,
      1.4434814808073,
      1.56757969416393,
      1.41473823976177,
      1.68784483561367,
      1.41520092331195,
      1.25391365986767,
      1.61464808581724,
      1.63463124650554,
      2.02623333381203,
      1.55498401344279,
      1.2344173029296,
      1.78619433688189,
      1.55374084962463,
      1.66189118365368,
      1.50892959625504,
      1.49846364666568,
      1.47250122596317,
      1.71959450343643,
      1.72128532086051,
      1.44046467898975,
      1.6708983571927,
      2.01160040326126,
      1.50521654484154,
      1.82958198125779,
      1.21705997244881,
      1.22860279050881,
      1.46447796098758,
      1.55628323355408,
      2.18314969145673,
      1.30549832230591,
      1.40479982499254,
      1.67654554222233,
      1.33394641175907,
      1.37121660079164,
      1.39694010534579,
      1.43877350677277,
      1.37448813493535,
      1.36824000138,
      1.60896139502032,
      1.63255161700102,
      1.95387271337561,
      1.39940077152824,
      1.59456823235199,
      1.28213867733452,
      1.33854550564878,
      1.34364089687695,
      1.84703552534641,
      1.2037114025042,
      1.49348088001913,
      1.18223606684754,
      1.64391887746599,
      2.246418394771,
      1.33206665672459,
      1.39079793696559,
      1.53820541173762,
      1.28977142135342,
      1.45251584190492,
      1.48733128342473,
      1.40914878322492,
      1.37616277555844,
      1.35137946429092,
      1.62890050805063,
      1.60649228936555,
      1.87210089723376,
      1.20552593978782,
      1.36217863020294,
      1.34054399645644,
      1.10981165256338,
      1.59253610698946,
      1.76371088951665,
      1.60316029629983,
      2.08862153300892,
      1.31187172488895,
      1.54985896451776,
      1.87788369056468,
      1.4964492047276,
      1.74963992576359,
      1.91046209219557,
      1.37273231564739,
      1.68521923297939,
      1.58931312832367,
      1.67425384359142,
      1.17772836652296,
      1.89761657471565,
      1.55501021705304,
      1.48435894845632,
      1.83451810206921,
      1.58751133699307,
      1.54793645556557,
      1.78056170049222,
      0.947943814571094,
      0.508856000450323,
      0.206653854850685,
      0.0590699388681355,
      0.0167631575976095,
      0,
      0
    ],
    "onset_density_curve": [
      0,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.05,
      0.15,
      0.05,
      0.1,
      0.05,
      0.1,
      0.1,
      0.2,
      0,
      0.1,
      0.15,
      0.15,
      0.15,
      0.05,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.2,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.1,
      0.2,
      0.15,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.2,
      0.15,
      0.15,
      0.15,
      0.25,
      0.1,
      0.2,
      0.1,
      0.15,
      0.15,
      0.15,
      0.2,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.1,
      0.1,
      0.1,
      0.15,
      0.2,
      0.1,
      0.15,
      0.1,
      0.25,
      0.15,
      0.15,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.2,
      0.05,
      0.15,
      0.1,
      0.15,
      0.15,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.05,
      0,
      0.1,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.1,
      0.25,
      0.1,
      0.15,
      0.05,
      0.1,
      0.1,
      0.05,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.2,
      0.1,
      0.05,
      0.05,
      0.1,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.2,
      0.15,
      0.15,
      0.15,
      0.1,
      0.05,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.2,
      0.15,
      0.05,
      0.2,
      0.1,
      0.1,
      0.2,
      0.15,
      0.2,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.05,
      0.15,
      0.1,
      0.15,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.15,
      0,
      0.2,
      0.15,
      0.15,
      0.15,
      0.15,
      0.05,
      0.2,
      0.05,
      0.1,
      0.15,
      0.15,
      0.2,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.05,
      0,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.2,
      0.1,
      0.15,
      0.05,
      0.1,
      0.15,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.2,
      0.15,
      0.1,
      0.05,
      0.05,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.05,
      0.05,
      0.15,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.1,
      0.1,
      0.1,
      0,
      0.05,
      0.1,
      0.15,
      0.1,
      0.1,
      0.05,
      0.05,
      0,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.05,
      0.15,
      0.05,
      0.15,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.15,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.05,
      0.2,
      0.1,
      0.2,
      0.15,
      0.1,
      0,
      0.05,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.05,
      0.05,
      0.15,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.15,
      0.2,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.05,
      0,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.25,
      0.2,
      0.15,
      0.15,
      0.2,
      0.2,
      0.15,
      0.15,
      0.15,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "tempo_curve": [
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      161.49902339403,
      172.265624950541,
      184.570312443223,
      161.49902339403,
      172.265624950541,
      184.570312443223,
      161.49902339403,
      184.570312443223,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      184.570312443223,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      184.570312443223,
      172.265624950541,
      161.49902339403,
      172.265624950541,
      172.265624950541,
      172.265624950541,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      184.570312443221,
      161.499023394031,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      184.570312443223,
      161.49902339403,
      172.26562495054,
      172.265624950542,
      161.49902339403,
      184.570312443223,
      172.26562495054,
      172.265624950542,
      161.49902339403,
      172.26562495054,
      172.265624950542,
      184.570312443223,
      161.49902339403,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      172.26562495054,
      172.265624950542,
      184.570312443223,
      161.49902339403,
      172.26562495054,
      184.570312443223,
      161.499023394031,
      172.26562495054,
      172.265624950542,
      184.570312443221,
      161.499023394031,
      172.26562495054,
      172.265624950542,
      184.570312443221,
      161.499023394031,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      184.570312443221,
      172.265624950544,
      161.49902339403,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      198.768028780308,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      161.49902339403,
      172.265624950544,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      161.49902339403,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      161.49902339403,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      161.49902339403,
      161.49902339403,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      161.49902339403,
      172.26562495054,
      184.570312443225,
      161.49902339403,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      184.570312443225,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      161.499023394033,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.26562495054,
      172.26562495054,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      198.768028780308,
      161.499023394027,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      161.499023394027,
      161.499023394033,
      172.265624950537,
      184.570312443225,
      184.570312443225,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      184.570312443225,
      172.265624950537,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      161.499023394033,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950537,
      184.570312443225,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      161.499023394033,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950537,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      161.499023394027,
      172.265624950544,
      184.570312443217,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      198.768028780308,
      172.265624950529,
      172.265624950544,
      184.570312443233,
      184.570312443217,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      161.499023394039,
      172.265624950529,
      172.265624950544,
      184.570312443233,
      172.265624950529,
      161.499023394039,
      143.554687465652,
      151.99908084385,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      184.570312443233,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      172.265624950529,
      184.570312443233,
      172.265624950544,
      172.265624950529,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      184.570312443217,
      161.499023394039,
      151.999080843839,
      184.570312443233,
      198.768028780308,
      184.570312443217,
      172.265624950544,
      161.499023394027,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544,
      161.499023394027,
      161.499023394027,
      172.265624950544,
      184.570312443233,
      184.570312443217,
      184.570312443217,
      172.265624950544,
      172.265624950544,
      151.99908084385,
      172.265624950529,
      161.499023394039,
      172.265624950529,
      172.265624950544,
      172.265624950544,
      172.265624950544,
      184.570312443217,
      172.265624950544
    ],
    "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,
      0.591326569750196,
      0.606805954482574,
      0.635005977348383,
      0.679510390423135,
      0.716472149061605,
      0.714237836073734,
      0.687909562835561,
      0.663358589795444,
      0.657066068005559,
      0.666029857068789,
      0.679622975673609,
      0.69720788797655,
      0.722143474675862,
      0.742431176788548,
      0.744186419935706,
      0.737024832099261,
      0.735953498827836,
      0.746099580692363,
      0.759026573391493,
      0.757096348561964,
      0.738935164789206,
      0.72191077901178,
      0.718481694695289,
      0.725148792523982,
      0.728223344625538,
      0.725207840628018,
      0.725146485474955,
      0.731823304275968,
      0.743219772717529,
      0.751738104539863,
      0.748158659624733,
      0.726999205859501,
      0.705040850196312,
      0.705816454509992,
      0.729226970350384,
      0.750935538196645,
      0.751471750569758,
      0.749212463293495,
      0.762527664429464,
      0.782652390950021,
      0.792650779388712,
      0.786966135111616,
      0.77488317726265,
      0.770042606155003,
      0.77559845666159,
      0.778753893950087,
      0.764577433734194,
      0.743811194990942,
      0.739438295135025,
      0.754866464303245,
      0.776149260616598,
      0.785247107313204,
      0.777486235273544,
      0.759343425338546,
      0.739591474282423,
      0.726424210675284,
      0.716909540388974,
      0.705175354035169,
      0.699227715332885,
      0.707885737794221,
      0.720180856045494,
      0.712032008077262,
      0.688469729555903,
      0.685824743267892,
      0.70827465543456,
      0.733471984442832,
      0.73914546502284,
      0.716811323299566,
      0.686612967990736,
      0.677681520410144,
      0.698627306234889,
      0.73439549751397,
      0.748073441973625,
      0.724601042139227,
      0.705109152239027,
      0.711677650954942,
      0.737045152494387,
      0.754740999127944,
      0.739064001136563,
      0.711864091151271,
      0.698429848923547,
      0.702351775839586,
      0.717789222550598,
      0.736584183502619,
      0.750896271363411,
      0.750025270428774,
      0.735812841482776,
      0.725240965816859,
      0.72612918063082,
      0.732049349692547,
      0.73330612625407,
      0.734305524534354,
      0.742051322653424,
      0.753003863521535,
      0.760559314254991,
      0.760225948178235,
      0.747190752202406,
      0.727789820180528,
      0.72031141102188,
      0.733420383534708,
      0.751937446849759,
      0.750710242818208,
      0.740523917653334,
      0.741829609176691,
      0.748874954459901,
      0.749995254261666,
      0.743666694130342,
      0.736842899505166,
      0.734909086758041,
      0.743781424388994,
      0.763813634643144,
      0.772193396213559,
      0.752473526463326,
      0.733531832370603,
      0.734122272111544,
      0.74523315530177,
      0.752901408807188,
      0.755134132731992,
      0.75702303674439,
      0.756140687486815,
      0.750739434366479,
      0.739477454887205,
      0.720737898215883,
      0.708137959248586,
      0.71509544572711,
      0.732053731716812,
      0.732987705678351,
      0.701983902230352,
      0.671020409329264,
      0.673365633951254,
      0.701602566308606,
      0.732369474356423,
      0.738812687699129,
      0.712500000119735,
      0.685610681463271,
      0.684975970679635,
      0.708709162300073,
      0.730057962142743,
      0.719152931999119,
      0.696374511958598,
      0.696136408200217,
      0.710870232684498,
      0.711818519469594,
      0.693975608270051,
      0.69392467767463,
      0.725722023342249,
      0.769015018830276,
      0.783827072685603,
      0.767241461492034,
      0.763232114408373,
      0.781803962809361,
      0.796224152443184,
      0.782787510260789,
      0.759985005823639,
      0.752124519746561,
      0.757578414389833,
      0.76335300718535,
      0.761174270008709,
      0.753716667340314,
      0.744835873276884,
      0.738420421931893,
      0.736947157984644,
      0.731351605989796,
      0.717332388454096,
      0.705690033230285,
      0.699970981348262,
      0.689885375685413,
      0.676355429960297,
      0.680281294289588,
      0.703818698353396,
      0.717061961831399,
      0.701067489860464,
      0.68965044072273,
      0.70365886907279,
      0.726802158381243,
      0.73333441799288,
      0.710168707888524,
      0.679813074228834,
      0.673715289907718,
      0.696628290020925,
      0.733137907308882,
      0.752911607236772,
      0.734103819745187,
      0.707210169217651,
      0.702613252855559,
      0.714553122545228,
      0.713306207264246,
      0.680506280211735,
      0.63831659633254,
      0.60661292260797,
      0.594764681354886,
      0.60474333923268,
      0.625458683697747,
      0.647056240514917,
      0.667326506945808,
      0.682972404833781,
      0.689756555258873,
      0.689251081699644,
      0.689706998819515,
      0.705487915917482,
      0.161696503029001,
      0.203606441152136,
      0.272053422378474,
      0.368987727534162,
      0.442064370416436,
      0.449301777365079,
      0.423493615352066,
      0.387527894089797,
      0.363863025505955,
      0.357660007332062,
      0.367122405708846,
      0.398166151353614,
      0.454096778674484,
      0.504521138412656,
      0.509252041397389,
      0.485669915059255,
      0.474382722089414,
      0.490819930225711,
      0.517621764549515,
      0.521266539957408,
      0.501437360020578,
      0.485110308645361,
      0.486117434062703,
      0.499511271513583,
      0.507396578628838,
      0.497389066953341,
      0.480573981153654,
      0.477315295041138,
      0.495835351019822,
      0.518210638220305,
      0.515734453151615,
      0.482253140051065,
      0.452305064531797,
      0.459169524409172,
      0.495719652836724,
      0.520577215516611,
      0.510266924335189,
      0.502366187589413,
      0.524700592869604,
      0.561027656464782,
      0.58339942369049,
      0.580686286559413,
      0.559733273883977,
      0.540985487148274,
      0.540983280149383,
      0.545914976952939,
      0.526537647818531,
      0.493476656770296,
      0.486637587523828,
      0.515686460692037,
      0.55639186969473,
      0.57448145962734,
      0.561967987857086,
      0.532189678120258,
      0.496798143844979,
      0.46765582438258,
      0.45109658377124,
      0.446507035998256,
      0.453972461618715,
      0.474833573473713,
      0.50001461399279,
      0.508728787428725,
      0.496288622861104,
      0.491989464477939,
      0.504405481934368,
      0.513487239221171,
      0.502438669723565,
      0.477979207521294,
      0.462297752737784,
      0.467926099618675,
      0.491430723829352,
      0.518011613412116,
      0.522371391937609,
      0.49687486991461,
      0.478463787722485,
      0.487397067933996,
      0.517911231524618,
      0.538668228675901,
      0.509266543916544,
      0.458150031937601,
      0.429119189048612,
      0.432419120918163,
      0.458811171105233,
      0.49150254729699,
      0.517584551413758,
      0.522027890560879,
      0.502982001127448,
      0.484374869810094,
      0.481242540243899,
      0.48312638231405,
      0.472622735961563,
      0.461682834817774,
      0.470276282424366,
      0.494005426680959,
      0.518163722763043,
      0.533896312257889,
      0.530192193801434,
      0.508665691783807,
      0.497555875623956,
      0.514485015047207,
      0.535046991296907,
      0.518081283474256,
      0.489147975074846,
      0.489133529332433,
      0.509868925357087,
      0.524662568775695,
      0.5173698490924,
      0.495427468262683,
      0.481626315343796,
      0.496632292185181,
      0.538299344330461,
      0.560089401622924,
      0.528080194085731,
      0.492765849616407,
      0.490241842529932,
      0.506590930908964,
      0.51664065223212,
      0.511931159284023,
      0.501920835870141,
      0.492639983683666,
      0.485775577879592,
      0.480287556984037,
      0.470534498773472,
      0.464390485827891,
      0.474918023025904,
      0.497908304725069,
      0.512686160403657,
      0.499851550220716,
      0.477574802131931,
      0.477806019945406,
      0.494303038487919,
      0.50290495373,
      0.4887567483662,
      0.463695927745365,
      0.455218690738183,
      0.470266585179702,
      0.497232972776813,
      0.514886872146457,
      0.502224833118982,
      0.477529010649939,
      0.474447551391581,
      0.484988321870362,
      0.473611455810065,
      0.439625830610201,
      0.440413634927678,
      0.496318114312275,
      0.574387175683236,
      0.606648319856664,
      0.581206987463211,
      0.569420446903079,
      0.592486845703559,
      0.609419609653645,
      0.583231058580255,
      0.545240166141292,
      0.535728748443584,
      0.549577414876367,
      0.557929430629342,
      0.544951099366623,
      0.525213010976078,
      0.513815047438957,
      0.515386973497702,
      0.523899272423959,
      0.51369503234788,
      0.477473605207056,
      0.441370715036795,
      0.426576124950857,
      0.433232466616411,
      0.446533251889843,
      0.463887650174311,
      0.48820657253022,
      0.500617413349234,
      0.484453433293732,
      0.468978953605086,
      0.478188764748241,
      0.497991009007518,
      0.502043960748575,
      0.481527435509728,
      0.461784867178951,
      0.466825915368028,
      0.491136044003251,
      0.516119593778456,
      0.520305425433388,
      0.495006236772116,
      0.471545822165791,
      0.473126928276252,
      0.487244141511044,
      0.476998957847855,
      0.42669862502822,
      0.369642414250725,
      0.331631580656623,
      0.321841398788599,
      0.337603867484667,
      0.356939876160435,
      0.364123228919849,
      0.364710153129486,
      0.365894479153072,
      0.365553332424086,
      0.36332723387412,
      0.3680116883883,
      0.402737681717365,
      0.0886296213494108,
      0.132896091652545,
      0.206974394414567,
      0.316089590937141,
      0.405255217222881,
      0.429118845124286,
      0.423642438692303,
      0.404434074645263,
      0.385670404000404,
      0.371361172471145,
      0.367118693019422,
      0.385361419179845,
      0.429601740436473,
      0.468099135143768,
      0.459525335021683,
      0.422390000640563,
      0.400736073295839,
      0.411864633761704,
      0.440129779688602,
      0.451334131764595,
      0.440505256402169,
      0.43166191049885,
      0.439090763102044,
      0.45819980441224,
      0.466510099815955,
      0.446066596381652,
      0.414394662691044,
      0.400703924450301,
      0.415462857843761,
      0.440621850193241,
      0.447014293856705,
      0.428961300016689,
      0.414040851127404,
      0.427173974068867,
      0.465255746817322,
      0.494060596744162,
      0.484084834071083,
      0.465644532461535,
      0.470417073477759,
      0.490652186019875,
      0.508088725329165,
      0.517168897659542,
      0.51596869753308,
      0.505422145679258,
      0.500320489647506,
      0.504854940326477,
      0.49509233366058,
      0.465855795591509,
      0.450799751557119,
      0.465542077740546,
      0.491577677990902,
      0.501875838428961,
      0.498572380014347,
      0.495995014261534,
      0.487266813138363,
      0.465610536769594,
      0.44837557916222,
      0.454347972317652,
      0.475003224303948,
      0.49073175143737,
      0.488997903578407,
      0.47238863878248,
      0.461289159845315,
      0.471476595489434,
      0.489188314855399,
      0.489420441940005,
      0.464778215254783,
      0.442023100637749,
      0.446741637137923,
      0.46849354543678,
      0.487427246626734,
      0.493085426548845,
      0.488844696414545,
      0.487993477631535,
      0.497267488337768,
      0.509720343254909,
      0.519356922721319,
      0.511366345602402,
      0.467752364171674,
      0.412757945022884,
      0.37740370914016,
      0.37148707327742,
      0.388538771721177,
      0.413298568356429,
      0.436568352718863,
      0.453341305423932,
      0.460433106916311,
      0.463906718452292,
      0.464598316297062,
      0.45030945722212,
      0.418740442819441,
      0.393939747269018,
      0.392532348371499,
      0.407997930857516,
      0.427670961746894,
      0.445503279272535,
      0.456877398201892,
      0.459126816763119,
      0.462971618661373,
      0.476577021475605,
      0.482677200908706,
      0.455964546943524,
      0.424027610265929,
      0.421937032770338,
      0.444499257145918,
      0.46563508562715,
      0.463720608882025,
      0.44323739943813,
      0.427882226012254,
      0.436934331471565,
      0.46980104159357,
      0.487677813116148,
      0.458483166626958,
      0.425042548815772,
      0.424625035093581,
      0.449348437337086,
      0.470299096796055,
      0.467528044878584,
      0.450438415381654,
      0.434934406877312,
      0.425854648196374,
      0.42391898828485,
      0.432640804581317,
      0.456036770388745,
      0.48112523395348,
      0.491176905044568,
      0.478835339065309,
      0.452049911396867,
      0.436368006374191,
      0.444955193261392,
      0.463039958317697,
      0.467626252166683,
      0.45415966437415,
      0.44906688469309,
      0.467319330752773,
      0.48920594787136,
      0.496018990006437,
      0.485758702970096,
      0.471992045305593,
      0.470982774600408,
      0.482357272382138,
      0.487506597480622,
      0.459303154840887,
      0.413680946487061,
      0.413408574959106,
      0.47079790078417,
      0.551562905874646,
      0.591055504682322,
      0.57227691844543,
      0.56163010774819,
      0.583040949257917,
      0.597316878765257,
      0.569160627752187,
      0.531632001860318,
      0.524727040706453,
      0.537648546421837,
      0.533206613277811,
      0.501106247557151,
      0.472637388500497,
      0.469704250760065,
      0.486370109080583,
      0.500185011012865,
      0.485275752861908,
      0.446549620525174,
      0.412063513549768,
      0.404864584544064,
      0.435129116204276,
      0.477216134251116,
      0.497569351192617,
      0.491936066579208,
      0.466558070056174,
      0.441571466812075,
      0.441086347518802,
      0.459853862852136,
      0.47512899884913,
      0.467155609712718,
      0.443134122107984,
      0.436095181664177,
      0.455035327905809,
      0.479231581972322,
      0.490159090701415,
      0.485871426501757,
      0.480835787489145,
      0.488426790675429,
      0.501378060049275,
      0.50411558172473,
      0.483984026491146,
      0.457177141510274,
      0.448368962361626,
      0.456433542759917,
      0.467439401893843,
      0.471947415691743,
      0.461555389211853,
      0.433004532542619,
      0.398993824516221,
      0.377902423306105,
      0.373564648076658,
      0.379848523153167,
      0.393483246761274,
      0.426276377282303,
      0.11551166626747,
      0.155840941358352,
      0.225163726397457,
      0.333824652711077,
      0.431318841548764,
      0.467364682314217,
      0.485501057028916,
      0.504705483719638,
      0.518752886701989,
      0.508269134740522,
      0.475121449068052,
      0.44904569739981,
      0.450602088165308,
      0.463094728878844,
      0.450628384922452,
      0.416873595693037,
      0.395964826361759,
      0.405281333731348,
      0.432883689522475,
      0.447525256197965,
      0.441044496957323,
      0.431412574375949,
      0.431741082261596,
      0.443036818420481,
      0.450004185125713,
      0.434052382086592,
      0.405989298005214,
      0.392377471286905,
      0.40601741450426,
      0.433966369445326,
      0.450020355318407,
      0.448186670067214,
      0.447147224610619,
      0.461940222729276,
      0.491293690628783,
      0.510238786422351,
      0.495786240996936,
      0.473217084810736,
      0.467771044808752,
      0.474194636603481,
      0.483736657144923,
      0.498918392704018,
      0.514371310868356,
      0.515558645061465,
      0.509567180000778,
      0.511266198557582,
      0.506016755811065,
      0.480928579942975,
      0.459760822049357,
      0.458314311243254,
      0.466499643130583,
      0.470202128275188,
      0.478159097599215,
      0.499242854438283,
      0.510694239360699,
      0.493279055335911,
      0.465410987691662,
      0.45214965913889,
      0.457371461509593,
      0.469903189017354,
      0.476520085293975,
      0.473089435861954,
      0.465802764843404,
      0.467827615316967,
      0.47622049325027,
      0.47601765846971,
      0.460784421224231,
      0.443000075673219,
      0.439556135338387,
      0.450335366289308,
      0.464768081086952,
      0.476294559140465,
      0.483308998296573,
      0.482530395769801,
      0.480635974327533,
      0.483973179434196,
      0.493954533016879,
      0.49312567532382,
      0.455327805762693,
      0.404551322869809,
      0.372311883480076,
      0.36448213749752,
      0.371892512228238,
      0.383074814811472,
      0.397779374964835,
      0.421810500772465,
      0.449542091862707,
      0.46999489658397,
      0.472052892123354,
      0.446335954528731,
      0.406698157554325,
      0.382754614608758,
      0.381335006900904,
      0.390987563987224,
      0.400994456344649,
      0.410195605939937,
      0.424537917658513,
      0.44256651748429,
      0.458094117425078,
      0.469449287964484,
      0.46830852510641,
      0.443351676264502,
      0.417499887013638,
      0.417579652605869,
      0.444466519658624,
      0.476012681638074,
      0.48145266236211,
      0.456954256854147,
      0.43109950787108,
      0.428122109150165,
      0.450952306916859,
      0.46840491836067,
      0.448286588515527,
      0.42115041776801,
      0.422349064392416,
      0.452323619365152,
      0.48424182591575,
      0.488340891677387,
      0.468456870229367,
      0.446156692856425,
      0.432228046014143,
      0.428660591812308,
      0.433415914866859,
      0.448022296922514,
      0.466053341346976,
      0.476214154625934,
      0.47167282479829,
      0.452796588948536,
      0.434654692817202,
      0.434256734286919,
      0.446954628419268,
      0.45595838624039,
      0.449396420110335,
      0.437010946392652,
      0.439433571902351,
      0.453415540416618,
      0.465651681855237,
      0.470731782273268,
      0.468632305980516,
      0.465419109613346,
      0.468391313835372,
      0.469923113668464,
      0.450853801923047,
      0.418631662283947,
      0.418192951029809,
      0.466035295049035,
      0.545529385754334,
      0.611404705240777,
      0.629043195188631,
      0.630403780745312,
      0.638073881526908,
      0.628672341138401,
      0.581398019999902,
      0.532409699903746,
      0.51888344743895,
      0.530077525667182,
      0.524957000407551,
      0.492103816255789,
      0.466340377522209,
      0.471045843716415,
      0.497176711644942,
      0.51439311673224,
      0.496474098653182,
      0.456724305964135,
      0.424341172759368,
      0.414786237121181,
      0.429545530318762,
      0.452327210174265,
      0.466740152786344,
      0.469392721222881,
      0.460021710158434,
      0.444553628278599,
      0.438776232938873,
      0.446353898248212,
      0.456853862708563,
      0.458147324843714,
      0.448267330203147,
      0.442720264050192,
      0.45331110868704,
      0.469248697568445,
      0.477576494971481,
      0.477070032746616,
      0.471908408560557,
      0.469832860479689,
      0.472542035024463,
      0.475177745474607,
      0.472065126196704,
      0.475173422253594,
      0.501479248409452,
      0.538389505656238,
      0.560976671131731,
      0.563877625539527,
      0.552887602782003,
      0.523715367593402,
      0.484609417560939,
      0.466307375546184,
      0.478084229631757,
      0.503318724233495,
      0.526975543688343,
      0.550109032737093,
      0.145003066076035,
      0.186298169826967,
      0.254730410448762,
      0.36056183283349,
      0.455495156818338,
      0.489994367737522,
      0.50896864918642,
      0.536186280036873,
      0.567313199141197,
      0.579610679279824,
      0.562205214082383,
      0.534609156971351,
      0.520468072448563,
      0.516923143909699,
      0.499330386396589,
      0.466822918896212,
      0.446561932806774,
      0.45360444168788,
      0.474999485960329,
      0.48147711655308,
      0.468696498453418,
      0.456716837316858,
      0.459603450187191,
      0.479572907839111,
      0.497179189091507,
      0.485392946608363,
      0.456315578629695,
      0.441077958504072,
      0.452100013334822,
      0.47526264626017,
      0.485400579963449,
      0.483051403030927,
      0.488749975007375,
      0.507522930713576,
      0.524732578779636,
      0.517913643585755,
      0.494182340632568,
      0.485290574466297,
      0.496562310787867,
      0.516459509507943,
      0.538553112817136,
      0.558337661643273,
      0.561450606981102,
      0.544439670023088,
      0.526442412936125,
      0.515986881498012,
      0.498578393830483,
      0.475653364703341,
      0.469129337342216,
      0.484704089493522,
      0.509191857283617,
      0.526312994262966,
      0.534961752923761,
      0.536604439938457,
      0.522677760005065,
      0.498047564578212,
      0.474524362333171,
      0.44956035077659,
      0.428557235664264,
      0.428554761512669,
      0.455625516082567,
      0.492481726118349,
      0.500629595641184,
      0.4830974278532,
      0.467919635739665,
      0.46530447083888,
      0.472874367453989,
      0.470883194217158,
      0.44925869958546,
      0.430905500688672,
      0.435748561435897,
      0.470695865573508,
      0.513829798989993,
      0.511449770606117,
      0.474430123087395,
      0.45105728504012,
      0.46513782399345,
      0.493245106042945,
      0.474832043733127,
      0.423454186199023,
      0.386480345660106,
      0.377725343464177,
      0.390149724370724,
      0.411874771729378,
      0.437127898025024,
      0.457094857300186,
      0.462893709724953,
      0.461311459978442,
      0.459569461089335,
      0.451501858134498,
      0.428978863541583,
      0.406689881989679,
      0.402151089156245,
      0.413816561896524,
      0.43272021250154,
      0.452546530045543,
      0.464656214048005,
      0.465274644048283,
      0.466898815890936,
      0.482950877123379,
      0.501945324296355,
      0.489521579079424,
      0.459647327495814,
      0.452186156949736,
      0.47563428764129,
      0.511902965928221,
      0.525257842885934,
      0.499145736575974,
      0.463970724018023,
      0.456439161393625,
      0.484562587923345,
      0.510280187619727,
      0.490473193636151,
      0.456894027748208,
      0.449515183973007,
      0.472677363567238,
      0.507843976365596,
      0.523691399185954,
      0.509895671269501,
      0.484704138248529,
      0.46914661299011,
      0.46982581337386,
      0.466713249902094,
      0.448999968105408,
      0.437809775077469,
      0.448654495367032,
      0.478386779478646,
      0.497797397034986,
      0.48124169759101,
      0.455831163687478,
      0.44478873694331,
      0.452703391923142,
      0.466011372162635,
      0.455574243324349,
      0.430926721448253,
      0.421877501016658,
      0.44079606309797,
      0.481926851989677,
      0.505599761187745,
      0.484880626541811,
      0.455391730178286,
      0.442064640163828,
      0.438936808393899,
      0.434869859137146,
      0.44790606060238,
      0.499662896592901,
      0.579321119455867,
      0.636824399908069,
      0.642340050898991,
      0.637437902089097,
      0.6431551954919,
      0.63061797418131,
      0.577925033351149,
      0.522533430268351,
      0.503959042725075,
      0.51531888425128,
      0.515628957882412,
      0.490144029141174,
      0.468160658141128,
      0.470068015149925,
      0.492249209400242,
      0.5097211367999,
      0.490943701851603,
      0.446639983977231,
      0.416712957853502,
      0.418777390431023,
      0.432146874992306,
      0.428456255203713,
      0.423620145681302,
      0.443013204382843,
      0.479103975658845,
      0.490460125490143,
      0.46880472113735,
      0.44804383194339,
      0.445126491107077,
      0.459486267243185,
      0.470864204502035,
      0.459071962938299,
      0.442815302008452,
      0.442139276841605,
      0.46389312601329,
      0.499174873885476,
      0.505731865100632,
      0.475619985710874,
      0.448257589929681,
      0.446772192762293,
      0.461183917160523,
      0.455766876500297,
      0.429100245536831,
      0.402116288758885,
      0.388366423501417,
      0.394764586411665,
      0.408437227943212,
      0.410117494558876,
      0.408487278338139,
      0.423940173661182,
      0.453552358242215,
      0.482936214707482,
      0.508091096337059,
      0.540334931790135,
      0.157696229279557,
      0.207172523456379,
      0.283488344189566,
      0.391721396355153,
      0.481238563223641,
      0.511169350608385,
      0.513290506368841,
      0.502381587882787,
      0.497059236655148,
      0.504145733382131,
      0.521865572697676,
      0.550206494247581,
      0.586850863062011,
      0.608248950589203,
      0.592182596006903,
      0.56557921664583,
      0.559314177464334,
      0.573653609658221,
      0.588279313341986,
      0.582737663314828,
      0.562472159698019,
      0.547879274061694,
      0.552013130044236,
      0.573753993591311,
      0.587739056749373,
      0.573832671795713,
      0.556549138414183,
      0.560230175328333,
      0.579903216437981,
      0.594691542561323,
      0.588952060064046,
      0.564977739138989,
      0.542443876420127,
      0.540779388802189,
      0.55736983287324,
      0.565196226184629,
      0.551005524263033,
      0.540328016027736,
      0.552967720420092,
      0.581951681319221,
      0.610734408991389,
      0.626567145033961,
      0.625308309376068,
      0.615379992178838,
      0.608085594931175,
      0.598434929394639,
      0.572373809931962,
      0.541594259709039,
      0.531825809495081,
      0.549337287919615,
      0.580926626544989,
      0.603969606631034,
      0.608385866093163,
      0.596557272344133,
      0.575947654325009,
      0.563374460215901,
      0.560139914257426,
      0.544676643710752,
      0.518909961064059,
      0.514182291420292,
      0.547219700910209,
      0.594407148112184,
      0.604483679969685,
      0.581166412749374,
      0.562111854313038,
      0.563752611525998,
      0.581541424277826,
      0.579934434742644,
      0.542650306478914,
      0.509326779459145,
      0.514239487672619,
      0.562140690487461,
      0.615198288480144,
      0.611568192235594,
      0.570172556143275,
      0.544034058139459,
      0.556153755791694,
      0.582338613487401,
      0.562599767604319,
      0.509901216954815,
      0.471151630271886,
      0.460504885894287,
      0.472985074421044,
      0.4983956915068,
      0.528532291084971,
      0.545759633107308,
      0.537821518174868,
      0.521775149051981,
      0.515052561186126,
      0.51675671597995,
      0.510865875193616,
      0.498584696854073,
      0.496593920114431,
      0.506327591131731,
      0.522311153093239,
      0.542399555420312,
      0.552577668993591,
      0.542027463936394,
      0.528926514294179,
      0.536366619123359,
      0.557431565868063,
      0.555876804104267,
      0.537171739085761,
      0.535499424349624,
      0.557981825736897,
      0.59354111822494,
      0.616630065161278,
      0.604060391713279,
      0.573157468554201,
      0.56137022119206,
      0.5813172041472,
      0.597929716457063,
      0.573346773542803,
      0.540332571177398,
      0.533485952446135,
      0.552747534724916,
      0.584156264257284,
      0.605477861068848,
      0.602890432319394,
      0.585864155873191,
      0.577278851861726,
      0.586809251091299,
      0.587763477882382,
      0.560510191983225,
      0.53595301969205,
      0.542774504036201,
      0.576045979040449,
      0.591420348093708,
      0.561555515039396,
      0.528400502650289,
      0.523010902593149,
      0.549363230008577,
      0.581790238366932,
      0.57331720804606,
      0.535459857271465,
      0.515289764633588,
      0.535519997638396,
      0.585767936297063,
      0.613537286640168,
      0.588118006173057,
      0.551670681835934,
      0.530544902692825,
      0.51632596918168,
      0.499850963171575,
      0.503989725682873,
      0.547513422885456,
      0.6131879932885,
      0.645107054095371,
      0.623978910176722,
      0.606572571378469,
      0.616579243182298,
      0.622266687696378,
      0.595169046774614,
      0.562425182545522,
      0.558581352091222,
      0.575862584763603,
      0.576574133787107,
      0.550734295576824,
      0.526355674079654,
      0.520369902847483,
      0.531421671073777,
      0.542052880172714,
      0.527149708481336,
      0.496719862216351,
      0.485822240266793,
      0.506552560878153,
      0.528996870009253,
      0.520728988780544,
      0.511681834740623,
      0.539100060412061,
      0.590403813551225,
      0.608242938037082,
      0.581256187269217,
      0.554068175966873,
      0.54908814357331,
      0.566355811830547,
      0.578380663127744,
      0.556215189502807,
      0.525544935119507,
      0.520843030465028,
      0.552704884422167,
      0.599838291147336,
      0.609366086655953,
      0.577456277163106,
      0.547178578148809,
      0.534734695194702,
      0.52218312198003,
      0.483336244806948,
      0.431083651169459,
      0.394152554259951,
      0.382111629676239,
      0.384629420824863,
      0.389736548747239,
      0.399011450996923,
      0.414158006611864,
      0.425210288936352,
      0.42841551263766,
      0.432686936843871,
      0.448842011915254,
      0.489580148044463,
      0.151417584784195,
      0.199945986549729,
      0.272830970811775,
      0.374957959879809,
      0.464431759100923,
      0.499617182138987,
      0.488271876059439,
      0.442039298164628,
      0.403989596564873,
      0.404587163892815,
      0.45202615122479,
      0.538830835962736,
      0.643168083739633,
      0.721803669552287,
      0.745647527470892,
      0.74762171761451,
      0.757892830217257,
      0.771122581225376,
      0.77044470220597,
      0.74739601502678,
      0.714763603162616,
      0.694593597546836,
      0.696750848051692,
      0.714620937691841,
      0.733135728035127,
      0.744100709452426,
      0.753654666335086,
      0.767475624678292,
      0.779196305711434,
      0.776051049158499,
      0.753700481670203,
      0.716377365102242,
      0.679751921389457,
      0.662248367045664,
      0.67089834646733,
      0.693721320075775,
      0.699552379965583,
      0.686070516702972,
      0.682003523071987,
      0.697101438846474,
      0.719468908301532,
      0.737906261895907,
      0.753045999604987,
      0.760549653082677,
      0.754187029281605,
      0.739351780694839,
      0.722307944250525,
      0.702109542590636,
      0.684430336816886,
      0.682729993696897,
      0.69926384818598,
      0.714833773670131,
      0.713386512171096,
      0.705138358682393,
      0.70548860248721,
      0.706575193700564,
      0.690192599694612,
      0.658589899329135,
      0.641616862117181,
      0.660031876289544,
      0.693792907847504,
      0.695717931582461,
      0.659081082435473,
      0.639720335293551,
      0.662193027832505,
      0.702308628017117,
      0.71891761844574,
      0.688858504060272,
      0.642375333071342,
      0.628688896837346,
      0.660696849119717,
      0.711593770612293,
      0.728316349953782,
      0.694045790072552,
      0.665185339711012,
      0.67335633011996,
      0.712173125852919,
      0.749443675946415,
      0.741298728964498,
      0.707235283834134,
      0.68482842441761,
      0.677598705816504,
      0.671283292346433,
      0.658666443532379,
      0.651559747423388,
      0.654276575773757,
      0.653582962569492,
      0.652796050649232,
      0.666163737710032,
      0.692202618205209,
      0.707694731546841,
      0.707382830086637,
      0.70458932370677,
      0.697311051959728,
      0.683194459715546,
      0.675434343260124,
      0.676011626065646,
      0.672001865987112,
      0.66855268899139,
      0.681338424407484,
      0.704127541191149,
      0.706271572878439,
      0.691282200542442,
      0.694003667826059,
      0.724074013086106,
      0.75891325231117,
      0.77060668233663,
      0.760033484645567,
      0.748604046818656,
      0.74647544191685,
      0.749277167816783,
      0.740810645212026,
      0.712115456460531,
      0.687149594328671,
      0.69083037802869,
      0.721455822367175,
      0.751323005272203,
      0.75569443233531,
      0.744393055360952,
      0.738040062134079,
      0.734113775914896,
      0.715297305484872,
      0.677097029253307,
      0.64662813517314,
      0.652136460506581,
      0.686048003535892,
      0.705884664435208,
      0.670848332941187,
      0.616951927582667,
      0.608910687520469,
      0.652016516695854,
      0.711667576046053,
      0.734344309991338,
      0.698701012711997,
      0.657303979989939,
      0.656284294883677,
      0.69104614009753,
      0.719231718475788,
      0.700353915244697,
      0.664224923122322,
      0.659021232371857,
      0.666694343590775,
      0.628571662920598,
      0.544111085157197,
      0.502306793874134,
      0.531688081758093,
      0.602766716701221,
      0.651082398107923,
      0.638421994276093,
      0.618196576833134,
      0.636031043424272,
      0.681228927673242,
      0.709420643397421,
      0.714844059550489,
      0.72754947070061,
      0.75352595752192,
      0.769572719293969,
      0.75990425152452,
      0.739716403540585,
      0.728591838659837,
      0.733716112499503,
      0.745320367192505,
      0.745577085445242,
      0.735974089179238,
      0.724317275253503,
      0.705999058413784,
      0.67330833102272,
      0.647335865840384,
      0.659812324587915,
      0.699691474646077,
      0.716415253464919,
      0.676527602757373,
      0.632921530739748,
      0.636207383430985,
      0.675913138764275,
      0.708004830882242,
      0.69065584835855,
      0.643342887061904,
      0.624173244573022,
      0.652829666033079,
      0.707585188918702,
      0.737617546636587,
      0.708794030788426,
      0.665811373940926,
      0.654555423860852,
      0.659081865835897,
      0.63413192709696,
      0.580694349318573,
      0.552235201945493,
      0.564291471987853,
      0.586312114875553,
      0.581760010532271,
      0.557855087189303,
      0.547098338115805,
      0.544812099481212,
      0.527860520677705,
      0.501856068045664,
      0.486672045012017,
      0.491387812994727,
      0.517655777388448,
      0.143338132723008,
      0.192899053486834,
      0.266752895916884,
      0.370785072160191,
      0.465029799266034,
      0.504151624634769,
      0.491208555038404,
      0.440885790437512,
      0.401616297095229,
      0.40137127411085,
      0.440914385922546,
      0.513330207363241,
      0.609766796740073,
      0.700394939898929,
      0.74736018482844,
      0.758196220943526,
      0.758412399531761,
      0.75536265059671,
      0.744033286721027,
      0.720888431017425,
      0.696062695488643,
      0.682144529722252,
      0.682630466663153,
      0.695484614466538,
      0.718877185782643,
      0.744412778656669,
      0.758686241007422,
      0.761500895359913,
      0.756322473098944,
      0.740984761675177,
      0.71724824150526,
      0.690159154514564,
      0.66866466724504,
      0.663285615289344,
      0.68021348436343,
      0.717189941565407,
      0.744758528784511,
      0.742320513518336,
      0.729596805300643,
      0.72667114164528,
      0.740526457497856,
      0.762044368484237,
      0.775022116882199,
      0.77031779465438,
      0.752858694285344,
      0.73757987203134,
      0.735980758930396,
      0.739451572752113,
      0.735148922509106,
      0.728249191409853,
      0.728800378409026,
      0.736524877141336,
      0.739075560682412,
      0.730762670626816,
      0.717252820395103,
      0.697115464763855,
      0.658998495858462,
      0.612890042355327,
      0.597676376524868,
      0.629031577476467,
      0.674324731979762,
      0.677136028625336,
      0.63431506357298,
      0.614993836791979,
      0.64288654739113,
      0.68564017554464,
      0.696530229241216,
      0.657004308576031,
      0.610139589908169,
      0.604965900813677,
      0.644989181438452,
      0.695734031604271,
      0.701342183327134,
      0.654037531157116,
      0.624220848613618,
      0.643153081976594,
      0.697559274167863,
      0.745073911828521,
      0.738182031622985,
      0.708081544136213,
      0.696435863488708,
      0.702202769172966,
      0.703153323701677,
      0.684545234600166,
      0.663065218719853,
      0.658975076028924,
      0.662592425851676,
      0.665496216195529,
      0.675407897743867,
      0.694027326089924,
      0.706889046831742,
      0.713268313728072,
      0.7226675581562,
      0.723474389247218,
      0.704030592321477,
      0.681176338755339,
      0.672554784125918,
      0.671646916340278,
      0.674547985096727,
      0.691678923301406,
      0.719942473349828,
      0.727732171210249,
      0.712303844485246,
      0.708322273717428,
      0.729463127844839,
      0.758162975219065,
      0.767844716820525,
      0.757435019273451,
      0.745746957892201,
      0.7429151854448,
      0.748429923789325,
      0.750996294184449,
      0.736016948229903,
      0.714476795988021,
      0.709300255549033,
      0.727214804753483,
      0.750781236928028,
      0.757159555567807,
      0.748176940225025,
      0.737525633775874,
      0.721942354867674,
      0.686711173188372,
      0.632849705092957,
      0.599459662485955,
      0.616883625749245,
      0.666783743259386,
      0.695985584087522,
      0.657210829631188,
      0.595983865833697,
      0.587552948197545,
      0.633744427755932,
      0.691422399183263,
      0.701392215638934,
      0.651514517214485,
      0.609199052536406,
      0.618025838383667,
      0.663500964979242,
      0.69501819828999,
      0.667749909355571,
      0.622971676987303,
      0.619810844827597,
      0.638363364823851,
      0.613301298288907,
      0.536922204258186,
      0.501985070909334,
      0.540912875787826,
      0.620532967610474,
      0.673870545590104,
      0.662846732678565,
      0.641227979071985,
      0.654354738227665,
      0.689649023786912,
      0.704119234637794,
      0.700791650861275,
      0.716683405222592,
      0.752971504401544,
      0.778296387258537,
      0.774406578537068,
      0.757150722497577,
      0.744901894322997,
      0.746440755432393,
      0.757492214767581,
      0.762060112198042,
      0.753704145672043,
      0.733944156181118,
      0.695794860971013,
      0.637140865487638,
      0.599011435209726,
      0.618570084116609,
      0.670370985928242,
      0.690458550996516,
      0.641181908711643,
      0.589975536181603,
      0.596423630223682,
      0.646441197140903,
      0.68603796190236,
      0.665132709133824,
      0.613940019699563,
      0.600878578662928,
      0.637365465010035,
      0.691237433395475,
      0.708744092806163,
      0.665130083585125,
      0.620287750078962,
      0.619480082256291,
      0.649642210279424,
      0.674931113449797,
      0.674015141813785,
      0.662809055865629,
      0.646842443306911,
      0.622446534179989,
      0.596855168873635,
      0.578589526538464,
      0.566902403661202,
      0.554419348464035,
      0.539571532781912,
      0.52387920621873,
      0.508190470849502,
      0.496636473962548,
      0.499355031448815,
      0.134758653864377,
      0.188705252949213,
      0.271100067130769,
      0.386767410601928,
      0.47987528910333,
      0.505151975279982,
      0.50158449194014,
      0.491636801153851,
      0.491491576089883,
      0.493967563205688,
      0.493411192760992,
      0.504411629631692,
      0.541908407500692,
      0.586620677094873,
      0.596768715065318,
      0.573935457422848,
      0.551554528534379,
      0.547915996681612,
      0.555581622279153,
      0.553361153747331,
      0.542412318898291,
      0.537030529177545,
      0.543539648857507,
      0.561956898936312,
      0.581180888847625,
      0.582618666952234,
      0.567872194857114,
      0.556937859619823,
      0.559598737722365,
      0.563837726906898,
      0.556990624876782,
      0.546632686532211,
      0.546909675497623,
      0.564430445361621,
      0.589891932670116,
      0.604291106157685,
      0.603621711655543,
      0.605840482161533,
      0.619530993462652,
      0.636070032332726,
      0.649673830067303,
      0.657718648626619,
      0.648369142972185,
      0.624710360230013,
      0.610803334276923,
      0.61152390949177,
      0.609065500216206,
      0.60140650301862,
      0.603304850077375,
      0.617145141837326,
      0.633762088114264,
      0.647356772151969,
      0.654000654599088,
      0.639651787927308,
      0.599685908570309,
      0.561368236891248,
      0.543255435702617,
      0.533089824468289,
      0.526029403497044,
      0.532695020453742,
      0.555649204200806,
      0.579668386623111,
      0.584171153141836,
      0.579739038035562,
      0.578683013247477,
      0.577863974530829,
      0.574499863556356,
      0.559560297910937,
      0.533512708372671,
      0.518886730572391,
      0.530443463421321,
      0.565374701565142,
      0.598886347763723,
      0.597806316754066,
      0.578557544601461,
      0.569144901820195,
      0.579829180123942,
      0.587319718507,
      0.548761145547432,
      0.494182013879158,
      0.471434191924901,
      0.486666193566595,
      0.517664125456615,
      0.539291096829863,
      0.548448963543471,
      0.548547181618915,
      0.537043261883731,
      0.523282112610076,
      0.516253798932719,
      0.51050679167286,
      0.498619497825269,
      0.497436744505436,
      0.521678284810821,
      0.55382060691939,
      0.569683189025862,
      0.568904925430371,
      0.557330519368263,
      0.539090860421721,
      0.5313823532901,
      0.549964189706291,
      0.578339123006189,
      0.572352813036973,
      0.543762754408621,
      0.53492788585386,
      0.550534026652722,
      0.573016626404823,
      0.579347905608859,
      0.561331403141058,
      0.539835959879611,
      0.542667261377183,
      0.575418462792587,
      0.600255510113127,
      0.576671545503969,
      0.539199870337012,
      0.527295703850455,
      0.542457280684597,
      0.568340382785877,
      0.584410449339391,
      0.58168549739376,
      0.565950247536431,
      0.552633357691827,
      0.551958133049606,
      0.551414508616415,
      0.542816650322748,
      0.542108100628861,
      0.55745101549982,
      0.577118106695824,
      0.571142514448436,
      0.537117260963938,
      0.51551004619522,
      0.521988208651799,
      0.547260002457888,
      0.565844078960661,
      0.553638695846642,
      0.532018330549361,
      0.527812924069434,
      0.545237508237208,
      0.574030507096007,
      0.587380607467293,
      0.576266455419772,
      0.5643079325431,
      0.553930924054364,
      0.523018933145346,
      0.477397392251671,
      0.469741703285965,
      0.516074516302016,
      0.588862254734799,
      0.632172661803047,
      0.624331160573575,
      0.615769499427747,
      0.628781828281755,
      0.633496572305568,
      0.601708879893034,
      0.564860047988977,
      0.561837560011183,
      0.583771722035353,
      0.595663605916021,
      0.582849853647342,
      0.561847108202926,
      0.547227245517289,
      0.548245413956256,
      0.562936113830484,
      0.563762752681184,
      0.538804990576342,
      0.515248816497063,
      0.514412414464796,
      0.52529177339676,
      0.525228056060329,
      0.52450928550397,
      0.541345907018626,
      0.566413043103391,
      0.566058341735515,
      0.544401157469389,
      0.534153595490903,
      0.542839671781761,
      0.558796782006594,
      0.556941417551485,
      0.531391593651977,
      0.514248333075297,
      0.522977487909158,
      0.553334733607086,
      0.584750821354137,
      0.587741172639202,
      0.571560592505681,
      0.560555467008315,
      0.571923216372427,
      0.611551327344044,
      0.628496394362998,
      0.586266875417907,
      0.517736363789757,
      0.474640372208257,
      0.477796660828562,
      0.486006375070839,
      0.467702165258574,
      0.451078496455945,
      0.457182584466934,
      0.467907549326763,
      0.466311847711382,
      0.456955605216075,
      0.463303629188445,
      0.123802264348797,
      0.170493776811379,
      0.24717017002249,
      0.362367570997005,
      0.458896956748139,
      0.490895614026838,
      0.513382797611288,
      0.543147740179617,
      0.565972744700169,
      0.559024001157272,
      0.528423496856669,
      0.506124343176232,
      0.507868966144121,
      0.51398892547058,
      0.495332073427494,
      0.461389403916354,
      0.443322038992051,
      0.454898216464857,
      0.483602554794856,
      0.496587762989284,
      0.486106855633564,
      0.475952217762338,
      0.481999980382295,
      0.498238736702135,
      0.500512955835849,
      0.476492890548508,
      0.448338660045648,
      0.440672945905157,
      0.459768051463288,
      0.489656889266176,
      0.503029060810828,
      0.495161347830848,
      0.489246981888776,
      0.502035637856952,
      0.521686328344051,
      0.51826034325019,
      0.493036572664958,
      0.488020945161816,
      0.515421393828744,
      0.550139019912809,
      0.566332320090611,
      0.564097135980119,
      0.550799437777973,
      0.532643283177635,
      0.523840005398151,
      0.523071232785362,
      0.505609637631233,
      0.476635255897524,
      0.474444618861921,
      0.508740909076227,
      0.552452470075894,
      0.573248739447021,
      0.572449891364979,
      0.561037048497969,
      0.534476222884584,
      0.503143057824237,
      0.490158587193895,
      0.493632042741567,
      0.497591189141257,
      0.50059535041813,
      0.509382121733899,
      0.527333518572311,
      0.546130666587147,
      0.557167868441521,
      0.55512140755845,
      0.535407302511997,
      0.511363915657984,
      0.503427681092534,
      0.506409822033499,
      0.509036809553076,
      0.51147836416686,
      0.521359668992156,
      0.544468084544052,
      0.560829888290346,
      0.557773622102819,
      0.547713920995027,
      0.543573408294079,
      0.533085969122076,
      0.484509161329027,
      0.422081953812839,
      0.388260103495409,
      0.391606667958422,
      0.416530206641143,
      0.444145929109109,
      0.468331464556069,
      0.485890018282518,
      0.490553910257717,
      0.48789207112775,
      0.481483102753935,
      0.462347793232303,
      0.430379869523076,
      0.410087374667021,
      0.416105230568512,
      0.440101295943092,
      0.468070910944256,
      0.491869230769527,
      0.502796292638685,
      0.499499128010305,
      0.499674471430896,
      0.515124659640819,
      0.526771827221405,
      0.500939517316833,
      0.463190753714638,
      0.45571100557921,
      0.478335281210839,
      0.503754892000488,
      0.502263777363949,
      0.472756026603519,
      0.446676444574599,
      0.452497267629753,
      0.492276041835934,
      0.523837683370339,
      0.501745682798287,
      0.463659809100115,
      0.455195530377292,
      0.47583926211529,
      0.499434806644073,
      0.500906364654075,
      0.484048814024891,
      0.468977005160517,
      0.467069410034481,
      0.479867077222368,
      0.495603884266254,
      0.50257556374452,
      0.504718425118031,
      0.50835065956353,
      0.515613116695218,
      0.523818632653936,
      0.523646984175217,
      0.519564103551978,
      0.513239125400148,
      0.503700121363071,
      0.497961001829027,
      0.498083888807641,
      0.500443398230184,
      0.503401629628187,
      0.507564459647138,
      0.518908581224226,
      0.535298587653861,
      0.541619997875182,
      0.538862128521951,
      0.526196987103017,
      0.489260292709889,
      0.445663386084424,
      0.445444781881724,
      0.496810304568681,
      0.570277228216794,
      0.613958011847185,
      0.614854036807732,
      0.618007652309654,
      0.632505727310655,
      0.625764291574406,
      0.580179049557071,
      0.536203905700574,
      0.526119543079856,
      0.538588124552782,
      0.542389814390489,
      0.523990050355342,
      0.501679889084138,
      0.492000725069987,
      0.500290929992713,
      0.519226027469838,
      0.517334023617517,
      0.481843233058846,
      0.444531606626591,
      0.440433098716034,
      0.472448737139653,
      0.500079375973541,
      0.502672294905818,
      0.500142645951979,
      0.507677078094043,
      0.519225012994854,
      0.523306828738064,
      0.522811224492984,
      0.51849508249384,
      0.511179738771306,
      0.506809377062057,
      0.507589346716426,
      0.512819817540398,
      0.517684344124696,
      0.521327049893109,
      0.53345091043025,
      0.549326744990387,
      0.552399255968923,
      0.545188802188312,
      0.53752085425946,
      0.525342998387634,
      0.490431116554078,
      0.446557949923551,
      0.428311723666268,
      0.446353665320975,
      0.479097078982145,
      0.491844518701619,
      0.481378361539499,
      0.473153915295117,
      0.476753616330282,
      0.484940657436307,
      0.493741903296867,
      0.507262406729273,
      0.543168066233591,
      0.123713526294264,
      0.164546151116756,
      0.23253968713141,
      0.33622891655092,
      0.426560319204448,
      0.460674483922684,
      0.480332533379109,
      0.499177200896072,
      0.511698457612399,
      0.504283220486886,
      0.481753708464811,
      0.468538073699256,
      0.477105039978063,
      0.486869958474797,
      0.468076095607489,
      0.434374481486406,
      0.419129092257487,
      0.434398159157736,
      0.467684855133416,
      0.487527865927268,
      0.482146711720138,
      0.469805710497236,
      0.466941894096861,
      0.474727766023411,
      0.475966031082638,
      0.455353624128697,
      0.427735576280289,
      0.416643445412254,
      0.432342780959653,
      0.464188407391547,
      0.484863288604742,
      0.479724803350453,
      0.466862113451392,
      0.470570012676777,
      0.492825660018245,
      0.504947258747498,
      0.481905379813155,
      0.455313116355265,
      0.455767525822036,
      0.474576275086057,
      0.491374346404945,
      0.500522316604325,
      0.504202792976655,
      0.502418211282946,
      0.502675945564509,
      0.508440645985471,
      0.497136132905204,
      0.461629262889528,
      0.438495220960557,
      0.44754698430564,
      0.472415990880611,
      0.487482893629948,
      0.495011239067605,
      0.508641274971529,
      0.515079975846902,
      0.498551786991129,
      0.476783064177856,
      0.472903175152865,
      0.486767445559142,
      0.503921290216632,
      0.510114918512665,
      0.502154156898741,
      0.491651007911871,
      0.495587519860502,
      0.508491055447373,
      0.509764055638834,
      0.488650045556385,
      0.464967373887003,
      0.465858379136657,
      0.486479205468245,
      0.507424517439009,
      0.516798749192944,
      0.512381760956506,
      0.501515471289253,
      0.500682788807061,
      0.513315924958617,
      0.53375690746319,
      0.540287130648107,
      0.506801671681151,
      0.454797097953954,
      0.412998472701854,
      0.390441337162804,
      0.387006335155271,
      0.39831530377565,
      0.421260770481019,
      0.45181821257379,
      0.478775892716378,
      0.496664996535246,
      0.502243360191395,
      0.487087553807516,
      0.453697080939301,
      0.42264070469012,
      0.406205686013896,
      0.404759180917634,
      0.414209062406053,
      0.431060642619149,
      0.454231041584027,
      0.47530716802522,
      0.48906739186202,
      0.498555587944462,
      0.499058098567343,
      0.476585869436676,
      0.451028061004386,
      0.45217453464182,
      0.480945403991061,
      0.510324686098234,
      0.507993564853259,
      0.476355366412272,
      0.449290762722567,
      0.450366390968679,
      0.481024723623809,
      0.50579795227756,
      0.485085848645363,
      0.453459747367505,
      0.453933524037338,
      0.485969369599842,
      0.516819105776423,
      0.51366121367501,
      0.485485326148276,
      0.460434333486442,
      0.449465916512943,
      0.451471671022212,
      0.462530399896358,
      0.482416497544145,
      0.503095437185483,
      0.511606581565945,
      0.501957243496349,
      0.482422502612516,
      0.472292925492206,
      0.479987945010732,
      0.49354319501507,
      0.493844800191526,
      0.47477233297686,
      0.457884273221552,
      0.465128568106063,
      0.486633045105381,
      0.503296875202101,
      0.505093425542974,
      0.493127137769131,
      0.484590662595062,
      0.491077564024905,
      0.499303249872769,
      0.483057286678247,
      0.456815631995109,
      0.474199833775264,
      0.539145115006736,
      0.614626401630202,
      0.650476995832667,
      0.642368088661423,
      0.638021017540003,
      0.646812067106447,
      0.638821915547041,
      0.593288524097902,
      0.546787565002796,
      0.53501504802529,
      0.548333457637548,
      0.547437826228867,
      0.517782618870275,
      0.491162722336975,
      0.490667878866815,
      0.510566452301544,
      0.529534327975979,
      0.521616850879025,
      0.487138504055281,
      0.449304721536999,
      0.429332344864406,
      0.440598948778702,
      0.470107581133269,
      0.492216379316065,
      0.498921498909301,
      0.489492921122176,
      0.474917880916668,
      0.475057840870023,
      0.489198871632171,
      0.501066648784528,
      0.494956517713572,
      0.475196615941746,
      0.469765641482995,
      0.48840858341967,
      0.510817453825768,
      0.517041497981731,
      0.50516266530501,
      0.488448045856133,
      0.48519551913191,
      0.497146092461589,
      0.509096521503746,
      0.496860260313804,
      0.474226412429576,
      0.484442844300872,
      0.522203034113934,
      0.550583104881088,
      0.556334946244556,
      0.557488573499222,
      0.559315949347578,
      0.549017534155389,
      0.538904344807612,
      0.550159431361453,
      0.582815379144253,
      0.628146586176661,
      0.686454823172323,
      0.116434048601893,
      0.157479432700129,
      0.225546617547041,
      0.327626335453769,
      0.416532959954461,
      0.446643190568196,
      0.443701703362696,
      0.422826792165316,
      0.404218830915464,
      0.398691445130451,
      0.40864423927152,
      0.435543736473967,
      0.478581116379683,
      0.509131484689353,
      0.493116980868844,
      0.457534913929709,
      0.445721070096558,
      0.466722829123562,
      0.496723774882539,
      0.501232248539982,
      0.482633686579723,
      0.468849120486677,
      0.4737773816116,
      0.493126559068299,
      0.500321396929244,
      0.47571569556918,
      0.445054850092429,
      0.439517971201921,
      0.464075425084595,
      0.494416586621175,
      0.497906873207934,
      0.471769239294978,
      0.450528392832192,
      0.461372519098937,
      0.496758437536683,
      0.519261656986674,
      0.501898516663915,
      0.474558841744785,
      0.46629958707928,
      0.476573594847115,
      0.497982635938885,
      0.518268489752891,
      0.522351477104598,
      0.5161183536226,
      0.518022961887084,
      0.526719491498682,
      0.518000086586429,
      0.487013184170359,
      0.463552225377133,
      0.46299831844336,
      0.478197395608449,
      0.495611166247856,
      0.508978308571693,
      0.519654262840565,
      0.519167047041699,
      0.497485647728546,
      0.473022481394993,
      0.47273995181388,
      0.494448434805402,
      0.514381071541844,
      0.512458633216394,
      0.490224199280605,
      0.4743981814062,
      0.487970743748774,
      0.515671246546872,
      0.523587254570681,
      0.495753024760783,
      0.46694670986195,
      0.476254692108932,
      0.507718176258911,
      0.530231193021615,
      0.529511088995242,
      0.509979055269952,
      0.492348778164599,
      0.495495431317451,
      0.515530514637388,
      0.54277684067304,
      0.561701964704899,
      0.549102813599889,
      0.509140081269457,
      0.463077329232539,
      0.429477342405079,
      0.420082295482325,
      0.431859169834144,
      0.452679864133649,
      0.472660989914179,
      0.485537385657309,
      0.495307485145249,
      0.509169100131602,
      0.519508917693894,
      0.505329102948418,
      0.471570018541739,
      0.444663011551887,
      0.438460696637294,
      0.447769804456118,
      0.460039196707308,
      0.470546104547496,
      0.477049213970484,
      0.482365644733151,
      0.49424345047391,
      0.505283652830905,
      0.490779537977555,
      0.466080991210509,
      0.465942878031,
      0.49408376206756,
      0.522918557763492,
      0.517612014955461,
      0.483996680158217,
      0.461047181381115,
      0.469854160756317,
      0.505979238688945,
      0.530169481540701,
      0.506932015972469,
      0.474675570538735,
      0.472945896373847,
      0.501334728154712,
      0.530276333750901,
      0.526148682449168,
      0.496508836044319,
      0.469711417294643,
      0.454995122028266,
      0.449301902053102,
      0.454222659638101,
      0.478711419737632,
      0.509268303041865,
      0.520889329880097,
      0.503666160024522,
      0.476455826657643,
      0.473465855812882,
      0.494997279037227,
      0.513585405196519,
      0.504453962919647,
      0.474125705158492,
      0.46343431354515,
      0.486354919936689,
      0.515849516616703,
      0.527837409751462,
      0.515121035223712,
      0.488975774226787,
      0.477454460006897,
      0.489726410117928,
      0.508345689629918,
      0.516715199484617,
      0.525605146841218,
      0.55484851594579,
      0.59885279273885,
      0.641217176715239,
      0.663373932933566,
      0.660710586929204,
      0.652351147308965,
      0.648242711993375,
      0.632891339013217,
      0.589262627768895,
      0.545964844555123,
      0.538444560647313,
      0.559429089953195,
      0.564219109453797,
      0.533983140681813,
      0.504493902177694,
      0.503272872410511,
      0.524712434511263,
      0.542445369642084,
      0.52597811116184,
      0.480875749343993,
      0.438049485642696,
      0.422900290215907,
      0.449651487981978,
      0.494954612350538,
      0.521109240777242,
      0.519055834816103,
      0.492485192868376,
      0.465541232648666,
      0.468344710893894,
      0.492726156182919,
      0.509038718200484,
      0.493276307973861,
      0.461796756525091,
      0.460893137009258,
      0.49250375714514,
      0.52301834090174,
      0.528137981243639,
      0.50840345110959,
      0.486810246490941,
      0.487040118802689,
      0.504650129904431,
      0.518455908355742,
      0.514683736950165,
      0.518749541370718,
      0.544767393440738,
      0.562948508356505,
      0.554420870806223,
      0.541635511298752,
      0.540743717051106,
      0.52765398871471,
      0.499772309447268,
      0.495480532248188,
      0.524757156143102,
      0.564941571097522,
      0.599196769236063,
      0.630260871754822,
      0.118148767324959,
      0.1698998811668,
      0.253826057228284,
      0.372609235359638,
      0.464058018696119,
      0.480174450257362,
      0.460089520532409,
      0.424716288683045,
      0.398736919782973,
      0.394411155291514,
      0.411691174207219,
      0.451670780374172,
      0.511051811473659,
      0.552694347602455,
      0.538080790806128,
      0.501304247683849,
      0.491672866610183,
      0.518236814618391,
      0.551291228933747,
      0.551010361337275,
      0.523634941121376,
      0.505911478458548,
      0.514443359744493,
      0.54011011942439,
      0.550180849144289,
      0.525069920363387,
      0.4958535667077,
      0.495444050418821,
      0.525018594129395,
      0.554616442713287,
      0.551555006257678,
      0.517649520802826,
      0.492060665521415,
      0.50397363432956,
      0.542426530550634,
      0.566819117437903,
      0.558284909292808,
      0.549153059503105,
      0.560273061320972,
      0.581458970410172,
      0.600393591051285,
      0.606350368289205,
      0.589831589833265,
      0.569979824448164,
      0.572227066398557,
      0.583250824267895,
      0.571208538999455,
      0.542602986476596,
      0.532517408750722,
      0.550100271457972,
      0.579319754302831,
      0.597508849511794,
      0.593913549828769,
      0.571859088937927,
      0.541583358538755,
      0.514200901973645,
      0.496180508021583,
      0.488016523849525,
      0.490020819112899,
      0.503785819431416,
      0.521577423455997,
      0.525665121488934,
      0.508536394579168,
      0.498870495682147,
      0.512364441617818,
      0.530669089100697,
      0.528518308588973,
      0.501736881125573,
      0.475696967867587,
      0.473501491014859,
      0.495116978397886,
      0.527482750410905,
      0.544648012551316,
      0.529855421739606,
      0.513364576651911,
      0.518498098405363,
      0.544614193425293,
      0.567876601779371,
      0.552381275264823,
      0.511045654821608,
      0.476326695619496,
      0.464208972284407,
      0.480274607920646,
      0.518579671807128,
      0.558229207773899,
      0.565218631822011,
      0.534183864631003,
      0.501654507175498,
      0.496880590866434,
      0.515283699663105,
      0.521100732076531,
      0.507495032502264,
      0.502380877033184,
      0.517863109814255,
      0.547131426349309,
      0.571747730375827,
      0.567774800338601,
      0.538016178227543,
      0.516707466441746,
      0.529957506150011,
      0.560975297101486,
      0.557888412074412,
      0.526580308529798,
      0.511919644886926,
      0.526721981794711,
      0.553732988391162,
      0.558986310604774,
      0.533816028750871,
      0.510180619929218,
      0.517279891424979,
      0.555566125172397,
      0.582878910305779,
      0.559220395002214,
      0.520721742497849,
      0.506824104765224,
      0.521356960196673,
      0.547319360733425,
      0.558689558682159,
      0.550074279901537,
      0.53419594726625,
      0.520989301105339,
      0.511303868504661,
      0.50008147158862,
      0.495629783217444,
      0.50663133403944,
      0.525724023901331,
      0.535432397549693,
      0.521413131038788,
      0.502437645716977,
      0.504450933587313,
      0.518308774128509,
      0.522441250250649,
      0.507839294365787,
      0.486656225902357,
      0.479333172593812,
      0.492011172384331,
      0.518376219974994,
      0.541217011266258,
      0.537053423696798,
      0.513166087364992,
      0.502835850903592,
      0.511681307225301,
      0.535229961512891,
      0.564681301518185,
      0.588060837759631,
      0.609414735575389,
      0.632424658842683,
      0.643247208591747,
      0.633397977872803,
      0.62346394573735,
      0.627282167922155,
      0.622932417864952,
      0.586837242878598,
      0.547144903115031,
      0.540612480288092,
      0.559923830627894,
      0.566580031690536,
      0.547039127603337,
      0.527599786809948,
      0.525942789660869,
      0.539898958652468,
      0.549664376586848,
      0.524941672425727,
      0.474831187179899,
      0.438852162159774,
      0.437980359749405,
      0.462756167828613,
      0.484246240091835,
      0.498871259264794,
      0.51857261108547,
      0.530944421213852,
      0.523505918427837,
      0.51845557893143,
      0.529383565065501,
      0.539114663052815,
      0.527711628104784,
      0.498229963924722,
      0.475224665825082,
      0.474794130652147,
      0.49459399318275,
      0.522071796467547,
      0.536992386648499,
      0.523281320280794,
      0.503570058734405,
      0.504656317745512,
      0.526415355198238,
      0.54615981407845,
      0.534592604111907,
      0.494148730921805,
      0.453808536135354,
      0.44241032128599,
      0.465561469095094,
      0.481110857642648,
      0.456365928709822,
      0.427412478582432,
      0.430293657565975,
      0.448696350437892,
      0.458658306600645,
      0.456342487163436,
      0.459290412679606,
      0.201069791572203,
      0.284547163703811,
      0.411186162984231,
      0.575868268882546,
      0.68182953980965,
      0.68955061035532,
      0.67948276757853,
      0.664414743919145,
      0.650112360550013,
      0.637715967139326,
      0.625780432081331,
      0.626373081682451,
      0.649313845034031,
      0.673758124109505,
      0.666607996368123,
      0.637923947788958,
      0.625657765823874,
      0.64771487001294,
      0.684904120640264,
      0.697136951357019,
      0.675228388258378,
      0.647857738825687,
      0.637852919773221,
      0.64749468233204,
      0.659807180913215,
      0.653452834299163,
      0.635568386497437,
      0.632790816489072,
      0.656343207944096,
      0.687550027754563,
      0.694378688840935,
      0.663939556140131,
      0.627127704457201,
      0.618826198989283,
      0.640558435796858,
      0.66221338771465,
      0.659778601085994,
      0.657834280472474,
      0.679735673076298,
      0.713744555919138,
      0.739044052215599,
      0.747495222088502,
      0.742458073690083,
      0.731491875133536,
      0.724141179074856,
      0.715966948742486,
      0.691690762243774,
      0.661609096593281,
      0.652889807783551,
      0.67245445899151,
      0.70607628735712,
      0.729186818252581,
      0.730056919893501,
      0.711879803663328,
      0.687276753634089,
      0.674452038421658,
      0.66812497769038,
      0.649592965407466,
      0.627023379666342,
      0.626145227031602,
      0.648725227873858,
      0.662869364925998,
      0.640479584000943,
      0.610662258823589,
      0.608322517653441,
      0.637266012992738,
      0.672738877560526,
      0.671633190946835,
      0.63251946637309,
      0.603092794493017,
      0.612960751810491,
      0.658363770416147,
      0.694798285933941,
      0.672268645579719,
      0.627141407762993,
      0.610259967158998,
      0.632898042738714,
      0.663599451344108,
      0.65001456657802,
      0.610831173219944,
      0.58569721722561,
      0.584630442231724,
      0.604667973639102,
      0.640536550640625,
      0.68251534963297,
      0.698662713730215,
      0.674748716532585,
      0.643924369736941,
      0.632850422140252,
      0.636182269826061,
      0.631186380681185,
      0.62017033420084,
      0.621484764233684,
      0.636038270260526,
      0.659599395527338,
      0.687150670215018,
      0.693254955640231,
      0.667191098017184,
      0.641169522032968,
      0.64486592246155,
      0.668454458519189,
      0.674172954744987,
      0.660878086244778,
      0.654364597893958,
      0.660273688908145,
      0.676517569994962,
      0.700599256866826,
      0.715913512152316,
      0.709491754596311,
      0.695541416880459,
      0.691360924075986,
      0.690110781045593,
      0.675236724055788,
      0.655511738670804,
      0.64804784922605,
      0.656270206298855,
      0.677966210128119,
      0.708016066221096,
      0.7285631539248,
      0.723400379380317,
      0.701801345909344,
      0.679373898759421,
      0.656215017228648,
      0.632981771935046,
      0.625933671376707,
      0.644675469724632,
      0.669785815722137,
      0.664884799685381,
      0.634728952938434,
      0.618911656101539,
      0.63092523214892,
      0.663672110355737,
      0.689009522178479,
      0.671299107431349,
      0.630086520480446,
      0.610738363425351,
      0.631466269754977,
      0.671380382525078,
      0.67754285842129,
      0.639067487614702,
      0.606032572901493,
      0.597501701703767,
      0.592699799257889,
      0.570712338468935,
      0.553753359251946,
      0.569370210840925,
      0.612118949100683,
      0.635518520033834,
      0.614596273427594,
      0.599388244494463,
      0.619823617063667,
      0.649610674590553,
      0.655841057350846,
      0.656907338281413,
      0.679062376819323,
      0.707150590552127,
      0.710664268440209,
      0.690697016661998,
      0.673954876359862,
      0.672936297598863,
      0.68319644129095,
      0.68707127751851,
      0.665289101047639,
      0.634153888509002,
      0.623639177702268,
      0.633058134615876,
      0.632855718185209,
      0.611698804335809,
      0.605606765743965,
      0.63396111623916,
      0.66657741869205,
      0.664282975330954,
      0.64540820684403,
      0.64124622067772,
      0.652945105879872,
      0.667202698298769,
      0.662304499422499,
      0.632385151134659,
      0.607217434955316,
      0.61375465892167,
      0.654156709646606,
      0.696506452193516,
      0.686822280852155,
      0.637789209961428,
      0.603794512887621,
      0.595723010247826,
      0.574681608921524,
      0.512246815062502,
      0.447649658282214,
      0.419400915033418,
      0.43234782319179,
      0.464397282824174,
      0.484787551354581,
      0.488772308808291,
      0.483509030441308,
      0.466078431213269,
      0.438281002753316,
      0.411232235421646,
      0.400001946686565,
      0.425952885160269,
      0.351901148740597,
      0.460328779597842,
      0.608247189797538,
      0.783175241639516,
      0.872780030969325,
      0.852792139648263,
      0.828822618612888,
      0.824514163483783,
      0.831103471845798,
      0.823056022938886,
      0.793602757823705,
      0.766383739943952,
      0.764416433764552,
      0.784484864796354,
      0.799139860144526,
      0.792073526724648,
      0.782031313044528,
      0.790487025249751,
      0.812290144253991,
      0.818332054486663,
      0.798574339101851,
      0.774755165881298,
      0.764641253551655,
      0.769939606604797,
      0.783896882767526,
      0.793044326128835,
      0.789661297748653,
      0.785611899207846,
      0.794423733227979,
      0.809881918732011,
      0.811661277461875,
      0.789558680553074,
      0.762913843163217,
      0.752096746194502,
      0.759407771165103,
      0.775192467340724,
      0.779949206073431,
      0.773443828285449,
      0.773032373414607,
      0.786198118921943,
      0.806727785662784,
      0.825468917446539,
      0.839368428004352,
      0.841570087749138,
      0.827144076537514,
      0.805220181394413,
      0.788411735203933,
      0.777856480858672,
      0.770018519477804,
      0.770048667617983,
      0.78238317720196,
      0.799896515599518,
      0.811908535579466,
      0.818353329568505,
      0.823593362168829,
      0.831443763431286,
      0.832779025148193,
      0.8159550523973,
      0.792770728961205,
      0.7892092650023,
      0.816534452824769,
      0.851469136571509,
      0.843073776471123,
      0.79595019414344,
      0.75783030426907,
      0.763432783098156,
      0.808026642630951,
      0.834884251253568,
      0.81523690115054,
      0.78653936663927,
      0.783260926565169,
      0.812602801306495,
      0.842116772443178,
      0.818705896340129,
      0.764000809818996,
      0.731391484660225,
      0.747141620213672,
      0.791443929985124,
      0.79705558919057,
      0.765314790563363,
      0.742849202506074,
      0.744419412922309,
      0.755052990986405,
      0.755366821219193,
      0.747467139863485,
      0.74638768316981,
      0.759218160514602,
      0.78413786110123,
      0.80930667338762,
      0.808830809865619,
      0.77897252665431,
      0.756356527813734,
      0.757233552809046,
      0.763391993114707,
      0.758805574730147,
      0.748748835854759,
      0.745482803242802,
      0.751237573088402,
      0.762811650778627,
      0.774976305485307,
      0.776967294127678,
      0.767602821438614,
      0.764213459733361,
      0.776906200273915,
      0.800614982395828,
      0.820578086989197,
      0.830545382570604,
      0.836785937616861,
      0.83686828423848,
      0.825726186572677,
      0.803740894678127,
      0.77642772268038,
      0.755919718634908,
      0.750177896420434,
      0.763844568158371,
      0.791116464512392,
      0.81365827399054,
      0.827173435442188,
      0.83847590356006,
      0.842399053686383,
      0.837508927166409,
      0.832015419115293,
      0.824750806579406,
      0.806484260529718,
      0.789917953043744,
      0.799883963950283,
      0.835312846103913,
      0.850857003712035,
      0.819831017494628,
      0.782497340006321,
      0.774825423191362,
      0.804925050738493,
      0.84147115777264,
      0.834636000186209,
      0.797407970314885,
      0.773594136620632,
      0.785033702372061,
      0.822080218628142,
      0.833201814767077,
      0.791126800206767,
      0.741255378473378,
      0.71744371280437,
      0.699995621868539,
      0.650060504015469,
      0.590826631671802,
      0.570171035890996,
      0.599411836713174,
      0.650935447153054,
      0.673218706269407,
      0.672375562055914,
      0.677000430568032,
      0.688972010514799,
      0.703726364369293,
      0.735117771883152,
      0.788470648140866,
      0.838463233136493,
      0.854976755720709,
      0.84555824079502,
      0.837129184395923,
      0.840071654119858,
      0.849326537380982,
      0.852301771484417,
      0.847437650430712,
      0.848137231608841,
      0.858048868901975,
      0.8598970766157,
      0.830686094735798,
      0.787582039585929,
      0.774354553696976,
      0.799695478040623,
      0.838241396096912,
      0.839534757528088,
      0.802482341488931,
      0.770819601543263,
      0.773211941611812,
      0.811334660591742,
      0.840999392285367,
      0.822890202274108,
      0.788280020912473,
      0.776710019764225,
      0.801265934020198,
      0.837857147183466,
      0.829921110133176,
      0.779044322678828,
      0.730096961790944,
      0.686305354847478,
      0.617679556501999,
      0.54763663467122,
      0.528636566777378,
      0.542370187215719,
      0.550577029501567,
      0.545438508116634,
      0.550959717496515,
      0.577397921705489,
      0.586413261035391,
      0.556326663688273,
      0.510724531862729,
      0.475675148230871,
      0.468790615743817,
      0.504318432804462,
      0.301532794574268,
      0.374191489329677,
      0.480173185485411,
      0.624745142468281,
      0.725969803145326,
      0.72393099123281,
      0.685788079118106,
      0.659259317816538,
      0.652954920717911,
      0.641141389183849,
      0.621486150320102,
      0.621464389543114,
      0.654766602347313,
      0.691590069739643,
      0.6916377366362,
      0.671432935555881,
      0.664655066631714,
      0.679896759914012,
      0.701160757189951,
      0.701152217673339,
      0.682938396592418,
      0.671935150656894,
      0.680436195892523,
      0.698840205323581,
      0.705015089940397,
      0.691593433799719,
      0.675433677986125,
      0.672199373186466,
      0.686002386093314,
      0.70226545155873,
      0.699065391110071,
      0.674869669782351,
      0.653703971165336,
      0.655819502789548,
      0.677197723441087,
      0.697538290146882,
      0.701813983486017,
      0.699938450350281,
      0.704023880902041,
      0.709568980410071,
      0.70912832898982,
      0.704606304346784,
      0.701736454513521,
      0.703654499013144,
      0.710612688312484,
      0.715173100831274,
      0.706693839427682,
      0.691999499984261,
      0.686967886578202,
      0.693408505357797,
      0.700979519944204,
      0.700940189737445,
      0.695836699989618,
      0.6891843070775,
      0.679224131241872,
      0.670036943713855,
      0.663269669793277,
      0.654785194120645,
      0.647107741041618,
      0.6483442512146,
      0.656038708315294,
      0.655421179102145,
      0.641190540193295,
      0.63261299275091,
      0.635998742972751,
      0.644404967548884,
      0.652642299699052,
      0.649794883506397,
      0.632447253480333,
      0.620553800756108,
      0.631181008482396,
      0.661788663027738,
      0.684003369422135,
      0.669307360591224,
      0.642901141918115,
      0.633318130867334,
      0.648299744078112,
      0.668979549773882,
      0.654507292691471,
      0.61791655304467,
      0.598561430514434,
      0.608300580861862,
      0.632518874250189,
      0.649507601075868,
      0.653717541872313,
      0.652976022286115,
      0.657486591992479,
      0.670503553848919,
      0.682525108943981,
      0.673299740037982,
      0.64367338376036,
      0.628734770217681,
      0.642319102841482,
      0.663775322990779,
      0.671842514040687,
      0.664521397476362,
      0.650499470935071,
      0.639843997860267,
      0.64250056006143,
      0.661770369358265,
      0.678572792207554,
      0.663660882797212,
      0.63825039957935,
      0.63553191539939,
      0.652380433622995,
      0.668560657469504,
      0.672063819636161,
      0.671232309632592,
      0.673819884128805,
      0.68236274503745,
      0.696663265043117,
      0.695777415768905,
      0.66305439178398,
      0.631807830348961,
      0.62922376840371,
      0.64903902018329,
      0.669672529641591,
      0.682265281052128,
      0.693679159136906,
      0.701901631844965,
      0.700716628002053,
      0.691095885900286,
      0.674648145727143,
      0.661528558995581,
      0.662277272400176,
      0.672265530580156,
      0.67352916479028,
      0.649450993497673,
      0.617953600777557,
      0.609976102251906,
      0.627110378579896,
      0.655642527513793,
      0.673770893351582,
      0.6624139310742,
      0.638931765627904,
      0.62956583130122,
      0.641397283589806,
      0.660343793540432,
      0.657702656961059,
      0.636363340238708,
      0.625125390059198,
      0.62253639749305,
      0.598261046665392,
      0.545802807754833,
      0.515927090383887,
      0.534564812657912,
      0.589173213318187,
      0.646642888341541,
      0.671756559885728,
      0.675582871819065,
      0.673128740703565,
      0.6581244916972,
      0.633818513225557,
      0.627426294546716,
      0.649350877335603,
      0.676439133443778,
      0.680014043175324,
      0.666433243148715,
      0.657509078095692,
      0.65686432224318,
      0.659231901403598,
      0.656664912811987,
      0.646268217872106,
      0.63905302030717,
      0.644418805402513,
      0.657507510189829,
      0.658120408937448,
      0.640997321199633,
      0.633392704255096,
      0.645996147442444,
      0.658730216489218,
      0.648454379595348,
      0.633683558949876,
      0.636345466000983,
      0.64994208446465,
      0.65830998485531,
      0.648944895838527,
      0.629299662092545,
      0.621809994076177,
      0.635388493813188,
      0.665000769741958,
      0.690351841801786,
      0.682045166685691,
      0.652765167025531,
      0.629984168881503,
      0.616624154150965,
      0.601297948566759,
      0.582083906743271,
      0.567795393970488,
      0.557453429265952,
      0.550630519259062,
      0.5481327623867,
      0.543171558139336,
      0.534557345489463,
      0.531864686557974,
      0.540361012772676,
      0.549555113362179,
      0.552224303056023,
      0.551840761970072,
      0.558812145576309,
      0.138646988522456,
      0.189788116299021,
      0.270786691663778,
      0.387007089499031,
      0.47958004376268,
      0.496393613942745,
      0.471208033259478,
      0.43075181818095,
      0.401035805162413,
      0.388755861000104,
      0.398922160681072,
      0.439465147064731,
      0.503984677370217,
      0.549563091643593,
      0.536541158469277,
      0.503122729625757,
      0.496371245484719,
      0.521861769851897,
      0.554848733378116,
      0.559394373362183,
      0.538609862688121,
      0.524308789866817,
      0.532271671288127,
      0.552518822523997,
      0.553254489381315,
      0.522129421286317,
      0.49447485669329,
      0.498821622698658,
      0.532430897508111,
      0.566091598960046,
      0.568375655558375,
      0.541696215839726,
      0.517958634778721,
      0.520628463596057,
      0.541376655733025,
      0.545353616204435,
      0.531003881319446,
      0.5399475171235,
      0.579247233262298,
      0.617752418178356,
      0.628355452755288,
      0.615497343303164,
      0.59181653417198,
      0.568518184714273,
      0.561398390907566,
      0.559810821134484,
      0.536433441966152,
      0.512691244822869,
      0.527446184314914,
      0.574214571813763,
      0.6143451273926,
      0.616548495315126,
      0.594083749554594,
      0.566422443218839,
      0.53225187320379,
      0.499753903645187,
      0.483342593913276,
      0.484847882917304,
      0.495632845701885,
      0.509669727974516,
      0.521603968332152,
      0.525010720780032,
      0.521248379507493,
      0.5217139661686,
      0.523903759127427,
      0.514124587597178,
      0.493649422713791,
      0.478107792256875,
      0.473617373608367,
      0.481390007283612,
      0.500518370047007,
      0.522608927688262,
      0.535851707962921,
      0.534648026979685,
      0.531308539353148,
      0.53249245384946,
      0.538843782271664,
      0.539527268360868,
      0.510744039035375,
      0.466696931312181,
      0.441271141994395,
      0.446066594673127,
      0.474139085718883,
      0.510082868561466,
      0.537797415766401,
      0.538938643072784,
      0.516513763825725,
      0.496999825815165,
      0.493290741775787,
      0.49368288902126,
      0.483002682825832,
      0.474087543696052,
      0.483666321346043,
      0.507292054584597,
      0.533362457988782,
      0.550775334221627,
      0.544444974559104,
      0.519707118656625,
      0.509292104729825,
      0.530784033404587,
      0.556368433624105,
      0.536911375060777,
      0.497748020246994,
      0.488434748150913,
      0.50957176564112,
      0.537902866221545,
      0.54444037249763,
      0.520965839609117,
      0.496384758578075,
      0.503769843533151,
      0.546767893002937,
      0.575574893137878,
      0.542679644938379,
      0.49662903417521,
      0.484201865505091,
      0.50307982996929,
      0.533863988991988,
      0.552831719845637,
      0.548999598253036,
      0.530658817303385,
      0.512796671962078,
      0.505519826773242,
      0.503258176959471,
      0.503910032076456,
      0.512441171564191,
      0.523767385261395,
      0.525299065552459,
      0.511197163871085,
      0.494309777223007,
      0.493631869300653,
      0.502729700475216,
      0.504237638036196,
      0.493107121231242,
      0.480749761226343,
      0.481607057153969,
      0.495921597603409,
      0.512986500820899,
      0.522240982454577,
      0.520617223079989,
      0.516858540036096,
      0.519494927239294,
      0.516095644857569,
      0.486023052833713,
      0.44981288266698,
      0.460180358619312,
      0.519135771635976,
      0.593050354569991,
      0.629186280259537,
      0.617713706060682,
      0.606890018245844,
      0.609616027756612,
      0.603792975732265,
      0.57496907824803,
      0.546216485877848,
      0.53993288739749,
      0.546315932856321,
      0.539891414479742,
      0.518055372430165,
      0.502539174612527,
      0.503177675194027,
      0.515259779283964,
      0.522937738857798,
      0.50348407858313,
      0.462864761333642,
      0.432049533137151,
      0.43231120335967,
      0.459308583794137,
      0.484023812903563,
      0.496826508909922,
      0.507098895673725,
      0.512170841557172,
      0.50820427088839,
      0.506442395420891,
      0.513467957520367,
      0.517268372771757,
      0.506578121336491,
      0.488190445984992,
      0.478833150874905,
      0.487526523148429,
      0.508581507609302,
      0.527949155178941,
      0.534044492919313,
      0.525455630365197,
      0.517447769436428,
      0.518995298193203,
      0.533741527378361,
      0.560230633957925,
      0.557174520314245,
      0.510401664268715,
      0.465662101635789,
      0.458435426789604,
      0.478015148016301,
      0.481445524527472,
      0.462332908837894,
      0.462214341869999,
      0.490678916190516,
      0.520806442591222,
      0.536316597014711,
      0.534724537563123,
      0.526709588576621,
      0.0847054124422599,
      0.130819409572823,
      0.20554883146317,
      0.313194036073348,
      0.403779324333267,
      0.438687412353654,
      0.444034861231714,
      0.424371952905193,
      0.399732195741573,
      0.387525569779647,
      0.39407990586232,
      0.418465219771844,
      0.457246226489976,
      0.490054579490639,
      0.486129380634023,
      0.456631013409304,
      0.436181150217475,
      0.442966113737832,
      0.46856681656267,
      0.481323695135516,
      0.471767144817392,
      0.459691893585429,
      0.458322268992052,
      0.469044925306772,
      0.480038270333741,
      0.471197557714255,
      0.445933647128179,
      0.428404770621741,
      0.436128286678595,
      0.462290768188965,
      0.478841282830883,
      0.472783799891258,
      0.46375289574265,
      0.471473972722804,
      0.491760366432349,
      0.494391008980196,
      0.472078373716757,
      0.464747915369235,
      0.488603266057218,
      0.522030197761143,
      0.541769998690571,
      0.546627280482805,
      0.539603941162971,
      0.522809024947682,
      0.51148540463299,
      0.506374003397951,
      0.482772315596898,
      0.44995952933496,
      0.447346455823425,
      0.480254196529509,
      0.517829608032625,
      0.527892958873828,
      0.518536440191845,
      0.509416393250326,
      0.497045096485777,
      0.477664059312457,
      0.461520354650949,
      0.459888484460841,
      0.47305764632937,
      0.492123088257287,
      0.501716111094692,
      0.49229789398163,
      0.478565572660337,
      0.483808893700436,
      0.500338521862467,
      0.503093056566282,
      0.481994530899036,
      0.460610371092161,
      0.464633473657788,
      0.487708273674607,
      0.510901261763022,
      0.519570831288269,
      0.509492404470137,
      0.492031302753735,
      0.487345433791125,
      0.498319753757494,
      0.516441352248793,
      0.517015137216695,
      0.476832839427341,
      0.426656334530374,
      0.398472239380978,
      0.394461145248514,
      0.404977949641232,
      0.420036923996353,
      0.436207601454584,
      0.455621291858905,
      0.477086826658714,
      0.494911237875866,
      0.497197005722873,
      0.472499747587932,
      0.435637814053045,
      0.415194301114181,
      0.414675478561869,
      0.424396138064696,
      0.436594827376312,
      0.447512236885274,
      0.458804779687537,
      0.472604677801598,
      0.489382928903293,
      0.505379577920309,
      0.504918340491523,
      0.474124955551505,
      0.443299050469716,
      0.44493756069246,
      0.477039165937875,
      0.511009115313076,
      0.509902595479789,
      0.473922552427828,
      0.444892896004242,
      0.450834921185593,
      0.48676817209286,
      0.508309033042427,
      0.479757208230561,
      0.445322897761674,
      0.446165207835439,
      0.479518155512312,
      0.517185473762436,
      0.523938912376183,
      0.496220404765819,
      0.460111445295505,
      0.437624214980293,
      0.434904831840266,
      0.445276416781311,
      0.464658906876316,
      0.487754976924738,
      0.502075947031083,
      0.495175739083258,
      0.472830385091114,
      0.461196316611619,
      0.472543482583677,
      0.490760981339941,
      0.492930132549838,
      0.474453633708922,
      0.460934147841693,
      0.47251958552328,
      0.496008505737045,
      0.50953783673116,
      0.501998395659708,
      0.480462041206354,
      0.468948507930532,
      0.476953120909548,
      0.486512344546731,
      0.472526704659504,
      0.451199127219411,
      0.471453107284829,
      0.534810339181897,
      0.606773962623223,
      0.631856937250956,
      0.603870056020654,
      0.582024814186493,
      0.590113505287203,
      0.606634019510752,
      0.597395481520094,
      0.57041751171794,
      0.556524750168694,
      0.558485144309886,
      0.548629190169424,
      0.51593198303629,
      0.490048518430062,
      0.492697181422684,
      0.516424439454269,
      0.532579661856843,
      0.510601369908593,
      0.460594501642921,
      0.419176723826176,
      0.408674595786633,
      0.432545971611697,
      0.467993101263927,
      0.491764306348259,
      0.498700458201448,
      0.484869926904549,
      0.462035409492957,
      0.457817430995797,
      0.474628481185443,
      0.491766165542948,
      0.487787241557809,
      0.46635526283034,
      0.459901440677906,
      0.481242942075991,
      0.509966213240528,
      0.522218671754474,
      0.509927877340284,
      0.487144143298495,
      0.479170572723112,
      0.491658907779567,
      0.518386633039169,
      0.544306612112893,
      0.535133338643903,
      0.496997508573656,
      0.464553131668955,
      0.453174588638905,
      0.460194314856768,
      0.467188659601659,
      0.462525395901832,
      0.455337984304556,
      0.450710309228937,
      0.448211998049946,
      0.444818702166807,
      0.438730577699357,
      0.443252857294222,
      0.0826901596292738,
      0.128038867988899,
      0.202464338291321,
      0.312421353627846,
      0.405799609917962,
      0.442555421238278,
      0.465968890545137,
      0.485920819601731,
      0.500512778661841,
      0.50183957642561,
      0.487775699330983,
      0.471952686638164,
      0.470083055795977,
      0.478670677548087,
      0.472997512634151,
      0.446442729151987,
      0.422619926803482,
      0.421118332413104,
      0.438907154902421,
      0.452115223506828,
      0.450553377655846,
      0.444664219803982,
      0.442671367566488,
      0.448416356326514,
      0.456451412198033,
      0.450478856719991,
      0.430075436830421,
      0.414538679209495,
      0.418396367761081,
      0.436117082638287,
      0.448884573577735,
      0.450269837661346,
      0.454413694114237,
      0.472182123447475,
      0.500082350573079,
      0.515773276968029,
      0.499145715026582,
      0.474127351519102,
      0.46459984994902,
      0.467180679311119,
      0.475571417221112,
      0.489810448259491,
      0.504046992888534,
      0.509619784124804,
      0.511742304374261,
      0.518550570721093,
      0.513855685104052,
      0.487049668466764,
      0.464101498354567,
      0.460210793740415,
      0.465139892377515,
      0.466307664264092,
      0.47108085524788,
      0.488584307614402,
      0.50021627140525,
      0.487744941861492,
      0.467954902726749,
      0.463782862240128,
      0.477792194579802,
      0.496989370423847,
      0.503436615116848,
      0.491388438122525,
      0.479373740847503,
      0.489741759912978,
      0.510373009603607,
      0.512960898661609,
      0.487706830425151,
      0.460870399681675,
      0.461366340562057,
      0.483449969554464,
      0.506684567708944,
      0.516103790255898,
      0.507659321361332,
      0.493373667930086,
      0.4933369130086,
      0.507448751433037,
      0.525811099307997,
      0.523149323906808,
      0.476968808237942,
      0.424243680313503,
      0.398648453329256,
      0.398060259746848,
      0.40544944646159,
      0.408043603046372,
      0.412566374856082,
      0.43863404786492,
      0.483111893728715,
      0.520003405247022,
      0.523293689564679,
      0.482784313384333,
      0.432231415926246,
      0.411689744590939,
      0.415920194853145,
      0.424550173380954,
      0.42620269409375,
      0.427438364192956,
      0.448133668411899,
      0.48461273350626,
      0.511472991267616,
      0.516604831474934,
      0.502691079194426,
      0.477180003073376,
      0.458685508076327,
      0.461539814081373,
      0.486456568723599,
      0.513522222753929,
      0.51106361950596,
      0.478893714878129,
      0.45336039162288,
      0.456871561886142,
      0.485771641813918,
      0.506573730953841,
      0.488864438903673,
      0.463623013476077,
      0.46476994922321,
      0.49323532918619,
      0.521532173421832,
      0.515954201280763,
      0.48141401919766,
      0.447035207447383,
      0.427842328521267,
      0.426112200207673,
      0.440660677980235,
      0.468805436495437,
      0.497029503376581,
      0.509552152805903,
      0.498038946009675,
      0.469616223338504,
      0.450711286348002,
      0.457210327004905,
      0.475354594553033,
      0.481707817846233,
      0.467202326088784,
      0.453706781997803,
      0.464552865763202,
      0.488496467942023,
      0.504764383277781,
      0.503610661071516,
      0.490612139816041,
      0.485977938105173,
      0.496294696955226,
      0.503369130140736,
      0.48483406200431,
      0.458730191836027,
      0.471999376698951,
      0.527487471596905,
      0.59732368969505,
      0.633543534937724,
      0.621307331640406,
      0.609767395619003,
      0.626273671005749,
      0.64769141191421,
      0.631146697684115,
      0.588288272861807,
      0.561611002813924,
      0.562244676928098,
      0.559206752695873,
      0.531738473859295,
      0.505924826713826,
      0.506546199061282,
      0.528387757503948,
      0.543930210198392,
      0.525322505103576,
      0.48170882289261,
      0.442757731369861,
      0.427820105252736,
      0.442853892201553,
      0.472824143822953,
      0.495793613663936,
      0.502804313988213,
      0.489247816041555,
      0.464092833570251,
      0.455603544075652,
      0.470523911099294,
      0.489233380379502,
      0.488875557373041,
      0.469046749599932,
      0.460061291308481,
      0.477368681506204,
      0.501763773330524,
      0.511815673709535,
      0.501663993089576,
      0.484381922854,
      0.482042486670456,
      0.495563741429101,
      0.509105559063533,
      0.507351130229387,
      0.501027503970343,
      0.511760956898361,
      0.525462874874629,
      0.518182138683638,
      0.497661027653468,
      0.484701201364337,
      0.474117238632365,
      0.451266287363988,
      0.426041295828713,
      0.413429058507478,
      0.411100190158013,
      0.414396226205018,
      0.433900112725782,
      0.104012605943528,
      0.152508269453052,
      0.230518358250669,
      0.344331832734825,
      0.436745083065371,
      0.465633690953041,
      0.486604673218966,
      0.51796333732027,
      0.550509811195407,
      0.566382896959913,
      0.556570523102097,
      0.53460058438236,
      0.520723713588765,
      0.514228839809845,
      0.497041870815021,
      0.46878984641451,
      0.452058561163093,
      0.457619950526747,
      0.470406556007621,
      0.469677536539344,
      0.45766104138668,
      0.447902553285368,
      0.448480961073938,
      0.46556679112931,
      0.486874470853805,
      0.483506938143153,
      0.460607777061083,
      0.447506034762956,
      0.454105279418656,
      0.465312420832363,
      0.466706820014517,
      0.467894288969899,
      0.482372554043923,
      0.509405222343157,
      0.540884488042019,
      0.561536703760489,
      0.556041860435972,
      0.540983601804981,
      0.535211634603235,
      0.537148610366866,
      0.540181819589087,
      0.542401697278129,
      0.542433957145155,
      0.541308339771735,
      0.544492812666278,
      0.554693031800842,
      0.556525384710639,
      0.539558871956425,
      0.525288205819404,
      0.527139981426033,
      0.535351058149794,
      0.535406920920136,
      0.53291079074898,
      0.538121994995793,
      0.537816482562986,
      0.519867975928451,
      0.496349831215168,
      0.475784913806409,
      0.463887988180946,
      0.467675287032691,
      0.486683238382322,
      0.509708003672103,
      0.517853377982585,
      0.516038759204783,
      0.515376745576889,
      0.512157671419802,
      0.503669096577863,
      0.490397300586088,
      0.476288432080425,
      0.471485184848001,
      0.481328817733566,
      0.50779373991372,
      0.539969099755531,
      0.547109762783949,
      0.532289491965212,
      0.521205910506679,
      0.527830516566614,
      0.533737488244589,
      0.496692496360931,
      0.440412479986472,
      0.41235545489684,
      0.420593514462277,
      0.443706508609843,
      0.457694523471852,
      0.46238798752406,
      0.471780215154831,
      0.485073487968776,
      0.495932380553704,
      0.499564138164191,
      0.485232957616983,
      0.455706221759801,
      0.439537012558745,
      0.449192336006714,
      0.467897435678847,
      0.476860886154649,
      0.478779534968752,
      0.486206352767936,
      0.496847127644449,
      0.5055707759523,
      0.51868031783583,
      0.536663600558066,
      0.539505261392541,
      0.525241500744085,
      0.514023155825524,
      0.514937407832274,
      0.521529588520827,
      0.51584206705136,
      0.492260892246054,
      0.473029463484078,
      0.479111904070304,
      0.513277402476247,
      0.548719155575178,
      0.549136347863132,
      0.528702097806659,
      0.515017240087677,
      0.515292253202989,
      0.520793857403813,
      0.51419619030733,
      0.495017926553395,
      0.477530551805633,
      0.470234458214119,
      0.47301220594197,
      0.473828193762791,
      0.468032961940632,
      0.467821073557534,
      0.479622994721039,
      0.499503017708681,
      0.508275617425488,
      0.495007797392148,
      0.481289214243514,
      0.477486420987546,
      0.480607864917055,
      0.483183600685119,
      0.475860955759981,
      0.466625556482126,
      0.467278635690986,
      0.482428172724698,
      0.511177242573924,
      0.533186516319137,
      0.53002946432036,
      0.51890452428903,
      0.50863309681052,
      0.486728693789901,
      0.458482748487783,
      0.457615297199583,
      0.496799655681403,
      0.56360036421504,
      0.622429346201586,
      0.644615444516109,
      0.652076469414728,
      0.666151210016501,
      0.669314983882282,
      0.63149523612917,
      0.575717884183983,
      0.543697728376875,
      0.544775731716806,
      0.548715598311643,
      0.531144254428263,
      0.508646685041442,
      0.501838665415493,
      0.514617297292874,
      0.531631859557259,
      0.520961273239996,
      0.481933041597889,
      0.448723054621821,
      0.444048716554649,
      0.459310047901875,
      0.467733576866771,
      0.46984691341465,
      0.483767170690973,
      0.506106731659687,
      0.508997609582013,
      0.490923044384551,
      0.478018209684512,
      0.477962114854537,
      0.484412763407582,
      0.48513515841765,
      0.476482743428668,
      0.472728417820179,
      0.480325035386594,
      0.499360769502011,
      0.525695263493527,
      0.537271663149613,
      0.527417495624654,
      0.514794312384817,
      0.506689359659589,
      0.501872045417523,
      0.506473008015405,
      0.518399613174338,
      0.525854596852397,
      0.520729766354584,
      0.505867142089473,
      0.482491936887511,
      0.448226727463632,
      0.422316822043752,
      0.425287978263026,
      0.445999384821674,
      0.46676697776054,
      0.480827450211442,
      0.492168347083397,
      0.134934248139568,
      0.187796630226132,
      0.267599957117642,
      0.379302852450893,
      0.469386819904021,
      0.493029917992544,
      0.485985708963133,
      0.473745220666789,
      0.476995887362403,
      0.494497230626289,
      0.513147759765984,
      0.531290610368926,
      0.555937739538929,
      0.57240590284829,
      0.562549809756976,
      0.543466397228712,
      0.5394626854431,
      0.5503818025931,
      0.558776614312156,
      0.553988669537487,
      0.540102989990504,
      0.525572908769318,
      0.519612520886923,
      0.529949970405869,
      0.544445801390674,
      0.542441844227324,
      0.536511770805263,
      0.546609777416872,
      0.564794681025286,
      0.570317021793874,
      0.559992325304143,
      0.544689426847331,
      0.537074479740501,
      0.548295217523737,
      0.579978020097568,
      0.612559478940478,
      0.615831221836718,
      0.603871745380573,
      0.603898854849801,
      0.615021595384792,
      0.624565562354314,
      0.624606078528919,
      0.618735604659064,
      0.615452757026004,
      0.618297539002374,
      0.625113310707689,
      0.623786233910699,
      0.606658610207833,
      0.590245549208967,
      0.589393183894343,
      0.601367569312842,
      0.609507132726836,
      0.604715880194123,
      0.589794314881006,
      0.572683202377722,
      0.563611109018428,
      0.555147735561968,
      0.52412444489588,
      0.485881050467015,
      0.482542734694159,
      0.52877140816143,
      0.584778389557791,
      0.582413454312262,
      0.539473433993254,
      0.517027642323872,
      0.537843035578006,
      0.579330800725206,
      0.578049435030837,
      0.521789816123105,
      0.473179537563175,
      0.476506204033594,
      0.53765420576092,
      0.605401960693976,
      0.598687183944398,
      0.545433064245309,
      0.516280257758206,
      0.537831448415654,
      0.573208910216708,
      0.549586201993639,
      0.494478971527413,
      0.467455793144886,
      0.477666801494634,
      0.503448287332369,
      0.520453828043845,
      0.529105974072029,
      0.534453771582332,
      0.528735305622138,
      0.518011781450309,
      0.513128478578461,
      0.511299097122289,
      0.501287629043679,
      0.495850398504993,
      0.512337667679122,
      0.535964067226661,
      0.54698420655285,
      0.550864642706679,
      0.552398723037192,
      0.545288619248631,
      0.537494067550709,
      0.549428709180766,
      0.580409645618282,
      0.592944568356538,
      0.577949400228383,
      0.562930593861227,
      0.560176236494165,
      0.569056721059377,
      0.580133867354475,
      0.576957465106725,
      0.560762015738496,
      0.554802777526138,
      0.575820887822329,
      0.605753856987041,
      0.605726729360786,
      0.581870144124446,
      0.562695712307241,
      0.557318180598875,
      0.562524157013274,
      0.568839315688272,
      0.568055128484107,
      0.561927320895244,
      0.563423865551336,
      0.573963915247211,
      0.563092916398979,
      0.520364725175754,
      0.490903655070115,
      0.508972098027204,
      0.561401149987142,
      0.579451260629363,
      0.52932165988675,
      0.47688671088215,
      0.471724301564001,
      0.520096822058152,
      0.574263122389175,
      0.562691539128165,
      0.508087655788535,
      0.478149359444712,
      0.504279702020071,
      0.571050714314599,
      0.604730854966738,
      0.567240740626586,
      0.521912984391525,
      0.508490847119736,
      0.509101431384809,
      0.489924034170835,
      0.470230510654236,
      0.488676813819442,
      0.547072920407761,
      0.60582519679261,
      0.623447861533333,
      0.620612954953826,
      0.626455139982862,
      0.630456747355691,
      0.60806954443624,
      0.576002356259886,
      0.5634697049965,
      0.573785973955907,
      0.584993945804607,
      0.576590219977415,
      0.557044197576823,
      0.54128663989281,
      0.53955574682368,
      0.550533087429905,
      0.548019373846635,
      0.524167963725871,
      0.508390577094648,
      0.514651225299137,
      0.516312915454585,
      0.491269387450052,
      0.477916324540171,
      0.513653180850384,
      0.573734821515333,
      0.581219726328829,
      0.531887485417345,
      0.492032191215752,
      0.496083328984317,
      0.540146111842016,
      0.568079428850784,
      0.533480871716993,
      0.482999727683483,
      0.472267335207699,
      0.518583552427835,
      0.586711029284242,
      0.597074127737574,
      0.549859074052477,
      0.512453391231513,
      0.510534935598345,
      0.518895393327832,
      0.500452906032351,
      0.468157675394299,
      0.453721604164017,
      0.464422710277892,
      0.482272966152673,
      0.482583531190249,
      0.463311351868543,
      0.452745275577298,
      0.465295647010799,
      0.487471307583279,
      0.508191335537182,
      0.525521474727267,
      0.541307045162957,
      0.131943658146158,
      0.183676051556571,
      0.260620391648587,
      0.371521711495388,
      0.47382909635053,
      0.512537307573199,
      0.491360526214336,
      0.434846887823281,
      0.394331217449782,
      0.39260567613174,
      0.430092613868286,
      0.503020640021058,
      0.596025909546918,
      0.666161398392726,
      0.686807633032897,
      0.6911186576804,
      0.706450772507439,
      0.724617453797149,
      0.731916676142368,
      0.724634205626733,
      0.703784019136545,
      0.681477509073719,
      0.673359082349411,
      0.679840615147876,
      0.686749112961466,
      0.688965943878897,
      0.697408140102738,
      0.715661805114653,
      0.732203298164182,
      0.737690679996613,
      0.729941662788142,
      0.697833195235262,
      0.653809276713811,
      0.630217445185627,
      0.641493703790175,
      0.669670253698893,
      0.674435509236886,
      0.659665629264431,
      0.658514318463046,
      0.680548079272649,
      0.716638791893588,
      0.746111876635505,
      0.752888293001484,
      0.737458197990933,
      0.715496638242136,
      0.700043598365451,
      0.687641411643624,
      0.669382810905459,
      0.652934840852657,
      0.654280027044861,
      0.680446646673047,
      0.714957640714829,
      0.727983835971662,
      0.709630260464063,
      0.677167952773045,
      0.652141519292503,
      0.629536553047683,
      0.595031418995835,
      0.571010546162069,
      0.587571942365831,
      0.631968784119616,
      0.650844944113259,
      0.612122079073285,
      0.570573763367713,
      0.575367192598859,
      0.619308816852058,
      0.65742222174636,
      0.639775835825171,
      0.585179882920076,
      0.55994121636008,
      0.588054063339512,
      0.647512596281042,
      0.677394032191122,
      0.633034988588879,
      0.576633430229753,
      0.569372674621163,
      0.624047480869785,
      0.69866885314325,
      0.70764379351663,
      0.670659959064851,
      0.647695333655674,
      0.644930243215423,
      0.644177776824307,
      0.634821370968515,
      0.633744491192238,
      0.645463636639185,
      0.646619442605805,
      0.640111600262456,
      0.644039739191232,
      0.661197295880451,
      0.671909361913529,
      0.67055239664304,
      0.671621164341843,
      0.669790829855315,
      0.658244382680818,
      0.652447245932848,
      0.652104478545186,
      0.641848719343327,
      0.632184993414288,
      0.643861617244515,
      0.669408848753431,
      0.670830316316111,
      0.654023612522429,
      0.658675480120977,
      0.690454906700623,
      0.727663276716289,
      0.750841921961824,
      0.751133838257169,
      0.732971207160122,
      0.714776160459656,
      0.708624746093071,
      0.701594410870741,
      0.676328872155269,
      0.653573465626243,
      0.659868358603698,
      0.690966764572629,
      0.722522713722717,
      0.735455240446339,
      0.730532097986726,
      0.717662377456197,
      0.701446528451725,
      0.675958802301617,
      0.630965931335551,
      0.586114251113675,
      0.580443523719966,
      0.618370237469843,
      0.655556329271735,
      0.632427499627163,
      0.570046011984577,
      0.546384106917594,
      0.580522197310409,
      0.645153065743056,
      0.681501706843553,
      0.64606311968335,
      0.58972515689411,
      0.575981558653846,
      0.612323200310954,
      0.6566202315452,
      0.643907408814478,
      0.58397340636493,
      0.551352255785747,
      0.558264401857429,
      0.55582609129297,
      0.510789265466879,
      0.479544988315309,
      0.508863245750726,
      0.577671502384671,
      0.612951327729446,
      0.584501098959496,
      0.557297961377156,
      0.569151418378481,
      0.599940785038869,
      0.618077988892496,
      0.635392924456627,
      0.672241985160191,
      0.718110724391895,
      0.747634133979282,
      0.745953367754767,
      0.726367980614843,
      0.70753737111907,
      0.704242887550558,
      0.720950414085099,
      0.736119079059392,
      0.729596163978972,
      0.706457767670251,
      0.67282679756066,
      0.624308753336514,
      0.581867389645756,
      0.583804042775017,
      0.627332686802554,
      0.659211136532464,
      0.624990871009623,
      0.570042645974061,
      0.560134000872542,
      0.597438776237132,
      0.642945858203615,
      0.640996413308022,
      0.590661611622512,
      0.557455479217532,
      0.576286413503404,
      0.634493956239581,
      0.678276256329995,
      0.648147111193538,
      0.583158965403745,
      0.554012228668081,
      0.562089834505646,
      0.554014727526195,
      0.499316966306471,
      0.452521455609509,
      0.4495338715088,
      0.475314709485856,
      0.500877490961061,
      0.515454559594134,
      0.530536980649543,
      0.545486312921798,
      0.549323352864931,
      0.545052937639275,
      0.541452667865151,
      0.548959894531424,
      0.580147994510102,
      0.110842659006989,
      0.166615535676545,
      0.249849806314142,
      0.365285064167519,
      0.463171771560198,
      0.497839493988386,
      0.483825357730759,
      0.435538335512152,
      0.395859386585318,
      0.385045414573185,
      0.409717288456427,
      0.479646735652717,
      0.589713963066443,
      0.695640612746129,
      0.741129475677952,
      0.740500478477749,
      0.736791583151634,
      0.743262056629036,
      0.753263485655338,
      0.748083857430061,
      0.725637474904767,
      0.707838005286592,
      0.708982015821571,
      0.723682309388246,
      0.739687958167287,
      0.748838325350119,
      0.748728694943386,
      0.745046758229715,
      0.745651965021585,
      0.74975398749847,
      0.741601329906731,
      0.703551043384956,
      0.654964648407238,
      0.632401816311175,
      0.649247817436414,
      0.690189199269533,
      0.714101542920206,
      0.707613327198725,
      0.696814664100372,
      0.702247346454988,
      0.730448595238382,
      0.759732414735731,
      0.757161292123801,
      0.726124742659233,
      0.702082165421347,
      0.701794286860954,
      0.710679651003785,
      0.70804398108688,
      0.695712458417547,
      0.68929455296277,
      0.70122348464246,
      0.729098747509435,
      0.748256478183527,
      0.738231989543729,
      0.701182180692747,
      0.655539135008082,
      0.613410270435095,
      0.5821267001426,
      0.579748956738685,
      0.611070365215907,
      0.648842844349675,
      0.649609228479139,
      0.606472643454257,
      0.577425694655771,
      0.590916739029039,
      0.62409037460846,
      0.637409687055795,
      0.609078911639265,
      0.570427992978895,
      0.569228069957169,
      0.610166625968193,
      0.65988072688349,
      0.667898321371646,
      0.620685833748618,
      0.581584673789874,
      0.587339079081601,
      0.638231671352509,
      0.704710495656526,
      0.729392566318121,
      0.718793193512279,
      0.703991757967989,
      0.686254171926905,
      0.664835317144346,
      0.649886094392205,
      0.650128958822141,
      0.648564851158269,
      0.633708663192389,
      0.625995599948095,
      0.644121520508505,
      0.684593541917754,
      0.715798618732755,
      0.718037412229224,
      0.701890577613671,
      0.679558649667464,
      0.665551659182617,
      0.667489388842578,
      0.664244130729235,
      0.645153593022436,
      0.635952508519638,
      0.655584874618749,
      0.683793091395536,
      0.679961630098565,
      0.661135292031846,
      0.668868122829003,
      0.705297461672881,
      0.740979052004178,
      0.744895698591744,
      0.721669032641468,
      0.702064801247902,
      0.703716828469094,
      0.718741177388059,
      0.716309942214654,
      0.68303578001009,
      0.656785924296633,
      0.665029772709319,
      0.700965270701706,
      0.735313205974577,
      0.741473855386483,
      0.725634536640171,
      0.708787805337568,
      0.690340155418889,
      0.656726522904542,
      0.607741021255396,
      0.578303050932765,
      0.594407524943109,
      0.637955887466082,
      0.662350468903276,
      0.62945565213408,
      0.577494315993819,
      0.570269399972219,
      0.606379901955105,
      0.647072320100835,
      0.649932060081321,
      0.608429856131554,
      0.575537858033924,
      0.586759459263729,
      0.627710979744088,
      0.654163140215799,
      0.627898798993671,
      0.580437740009158,
      0.566332889621195,
      0.573621787404706,
      0.548559191927556,
      0.487893587500586,
      0.472011727138107,
      0.527019422453979,
      0.604033574912393,
      0.618794085210077,
      0.567825758196496,
      0.538806171275512,
      0.55578120293739,
      0.581577319300409,
      0.586348335374696,
      0.599788043944701,
      0.649478111353285,
      0.711569056578288,
      0.7445447732683,
      0.740458313302867,
      0.723509612931927,
      0.709516882992439,
      0.707544555054777,
      0.719879479607501,
      0.733021994064846,
      0.731029998714011,
      0.70814405450243,
      0.66570311173497,
      0.610514865860623,
      0.578137360648343,
      0.596438359985645,
      0.641089981708692,
      0.659442517081522,
      0.622864209915231,
      0.585052891808549,
      0.591254591921409,
      0.625204735255433,
      0.644034556352967,
      0.617508707454943,
      0.573420051635907,
      0.56534397078065,
      0.601073313489952,
      0.649983647240353,
      0.666549284550151,
      0.626866169000039,
      0.578989412739394,
      0.565369966416981,
      0.568257171929007,
      0.54866986236248,
      0.516182578863837,
      0.515843599998073,
      0.540225139356567,
      0.55560634271148,
      0.551621799115204,
      0.546213140570388,
      0.559257497029421,
      0.578898633524892,
      0.584628681518033,
      0.573786489707063,
      0.553902199036529,
      0.541943935696914,
      0.563106946335887,
      0.111797862493908,
      0.168968112864207,
      0.254181068276492,
      0.368946489253869,
      0.456628118987224,
      0.485861256815811,
      0.496611134148493,
      0.495008093308848,
      0.49082561059709,
      0.478753120539802,
      0.461516932280993,
      0.464801146217377,
      0.512834516794542,
      0.588733904846561,
      0.62559956947721,
      0.606413857110504,
      0.575730330412792,
      0.565578218329729,
      0.574465664808687,
      0.572404165629243,
      0.557171209350029,
      0.550121231335596,
      0.557633515536591,
      0.577209485743171,
      0.599399942924377,
      0.603973575776422,
      0.586202415880727,
      0.567719287996527,
      0.569102726086795,
      0.582240043719175,
      0.580639848065721,
      0.561447299399812,
      0.546683678639552,
      0.554955300866529,
      0.585481304167879,
      0.615420893537285,
      0.621718500152053,
      0.615445859839144,
      0.61758190293897,
      0.628894779941012,
      0.639270150442663,
      0.639399746286484,
      0.624880965231032,
      0.606164227907425,
      0.603640538282518,
      0.617829256754484,
      0.626198887120918,
      0.619408568982074,
      0.612715817083836,
      0.616448989890913,
      0.625244526977705,
      0.62884368540939,
      0.626989192560369,
      0.619976863757629,
      0.600385327432839,
      0.572721712192884,
      0.551020162819789,
      0.540532879983969,
      0.53949514941297,
      0.546923018786075,
      0.56170007874933,
      0.576352731958893,
      0.576318534688258,
      0.569053414728836,
      0.566065793571096,
      0.56520734005584,
      0.562958516659336,
      0.551304614764051,
      0.529881511873587,
      0.518207125850521,
      0.529058866920927,
      0.559280703258246,
      0.58725029589293,
      0.583195204914385,
      0.564774733835746,
      0.558792523874051,
      0.571298565828557,
      0.584824582809146,
      0.575360378566823,
      0.550905227560652,
      0.525289196989458,
      0.505591675989916,
      0.501981473656151,
      0.520010968337179,
      0.54619960988204,
      0.550496405185899,
      0.529891509410794,
      0.510424757082887,
      0.512737016675484,
      0.53955956988151,
      0.560259068665211,
      0.553163762056563,
      0.535585150426352,
      0.529063526818914,
      0.542537034355552,
      0.562099461065999,
      0.559463861982001,
      0.537404093823842,
      0.529072187478058,
      0.551588860111806,
      0.579854009624184,
      0.567194013670482,
      0.535295848338896,
      0.528141855816116,
      0.545833008988092,
      0.56656875595665,
      0.564985946194242,
      0.538194388510699,
      0.51574740976547,
      0.525781879494508,
      0.566786733680935,
      0.592215812092046,
      0.562753841093441,
      0.524107986942825,
      0.516012680537337,
      0.533071767317583,
      0.554456365569391,
      0.561912661936205,
      0.553934535929904,
      0.541221890877038,
      0.53498948172065,
      0.540926893327507,
      0.5486326471803,
      0.550689794619771,
      0.555393943419893,
      0.566812350635834,
      0.578428466169558,
      0.576910358064978,
      0.559220159821511,
      0.545219823195453,
      0.542904040614716,
      0.547708388833291,
      0.55025149006594,
      0.537585828276333,
      0.522611704005336,
      0.524014448978878,
      0.542305000222842,
      0.566837522974714,
      0.57617983035598,
      0.564758024304059,
      0.554148620187389,
      0.543632047581723,
      0.505664425037174,
      0.456336475994547,
      0.461526828066012,
      0.52617907625147,
      0.600207256633475,
      0.617558553014695,
      0.585193513251201,
      0.573005325672799,
      0.589107626187009,
      0.596696476848853,
      0.571081675262591,
      0.543980413868144,
      0.547052832714134,
      0.567990747091362,
      0.572977453647697,
      0.555521761435325,
      0.536465384352501,
      0.526293805446247,
      0.52961011940065,
      0.542388251303381,
      0.542600493998447,
      0.523561604541644,
      0.506184109041303,
      0.507986504001106,
      0.521284214885247,
      0.525702117377411,
      0.52833420152419,
      0.54239998006851,
      0.562303911671148,
      0.56962031958504,
      0.564243118586498,
      0.561036534880176,
      0.560949247803595,
      0.558823102115444,
      0.549755269885413,
      0.532990693542571,
      0.524465137625962,
      0.534008203489976,
      0.556369830392964,
      0.576920691069581,
      0.573326686343356,
      0.555087339443545,
      0.545289840220916,
      0.546105812512082,
      0.550610818408122,
      0.554075947376752,
      0.549435437236581,
      0.534503349089726,
      0.518768323973638,
      0.51813096950106,
      0.524214354594752,
      0.518829010669525,
      0.511425598232084,
      0.513742939014589,
      0.513570706552675,
      0.500786873695645,
      0.480535429667215,
      0.474569412336712,
      0.104539889022093,
      0.154015563040797,
      0.232630188692,
      0.347773397556669,
      0.443079758089791,
      0.476987915672539,
      0.503204102114822,
      0.53634868339259,
      0.562527796702109,
      0.554510871437032,
      0.514152017447703,
      0.479200730622197,
      0.478455939901831,
      0.501049657113214,
      0.502274323453196,
      0.47270567787492,
      0.446394941430444,
      0.445894647376789,
      0.465567992542774,
      0.476267658714194,
      0.468638768523563,
      0.45947810985651,
      0.460963388785392,
      0.475983243858428,
      0.492044959394508,
      0.485147469433469,
      0.458647362897653,
      0.439341216532702,
      0.444583422819939,
      0.466422538428696,
      0.480040046526147,
      0.481162472744562,
      0.487433505090463,
      0.507914424946779,
      0.53157679050123,
      0.526246352628693,
      0.49068700203961,
      0.475351978428979,
      0.501367097634186,
      0.545284674975815,
      0.571361490456011,
      0.572996937336821,
      0.568262911836683,
      0.564569013179824,
      0.562267127566042,
      0.553327248011432,
      0.517303486504241,
      0.472019143213134,
      0.462089627267649,
      0.497316768618002,
      0.546707118888084,
      0.566638409456484,
      0.558409786454785,
      0.548894977325203,
      0.540142694818782,
      0.526917061467114,
      0.510119589422924,
      0.491154692547169,
      0.476965868794568,
      0.478068906021271,
      0.496495846171847,
      0.519112963416884,
      0.523614163591665,
      0.516987199570264,
      0.514035812164216,
      0.514504384343995,
      0.513296762585939,
      0.50502860869219,
      0.491607668692046,
      0.483951536822027,
      0.4905697664763,
      0.51517067790855,
      0.542156113792343,
      0.536784404734759,
      0.512704504615611,
      0.503328158468862,
      0.515219872533,
      0.519898002285696,
      0.490488687726158,
      0.448009886778218,
      0.415066412296986,
      0.400943504223399,
      0.409859726729265,
      0.434526701067248,
      0.457692058915921,
      0.465484030284949,
      0.46178996171804,
      0.456856588342181,
      0.456761232031668,
      0.460910426028409,
      0.454242717724472,
      0.436052766236804,
      0.425953678914908,
      0.434783466695964,
      0.456935511582097,
      0.475109963466468,
      0.477347205939295,
      0.472034752332555,
      0.476383881258707,
      0.495967276802962,
      0.506840897326015,
      0.476223395864979,
      0.437709666054915,
      0.435725734671668,
      0.466345263575929,
      0.502849681290388,
      0.513057055374662,
      0.48457887131533,
      0.447651497070263,
      0.441611207258267,
      0.47493669650395,
      0.501204840843534,
      0.471968490924053,
      0.433393565668138,
      0.432366295861471,
      0.462158693912135,
      0.494457187225445,
      0.503986646692956,
      0.487769055351161,
      0.462520992724004,
      0.450938035685125,
      0.464495499740942,
      0.484760334275053,
      0.490326280369008,
      0.490045932414409,
      0.497730237971754,
      0.510899638916855,
      0.513270818825201,
      0.500650153655803,
      0.49306628863873,
      0.496817430130255,
      0.504480886814264,
      0.504947383792884,
      0.492044622964539,
      0.479712217641998,
      0.48042723341428,
      0.496482325313944,
      0.521447524688314,
      0.529605982310335,
      0.51008141047093,
      0.492460918811995,
      0.486775722886661,
      0.470017355245686,
      0.442592087703662,
      0.450520946053412,
      0.505456313445997,
      0.575990529488056,
      0.613679879993799,
      0.611820199196367,
      0.612602336169581,
      0.62821352984587,
      0.637058344139696,
      0.611736377199293,
      0.569290547062587,
      0.542387779695738,
      0.536502714772656,
      0.526815521893466,
      0.500668360231803,
      0.480440173163446,
      0.480008852071963,
      0.495565984811137,
      0.51028158488637,
      0.496987322304991,
      0.458529046978091,
      0.430154068564543,
      0.434714775253692,
      0.461390470593492,
      0.476031296406799,
      0.477790251709243,
      0.488300496918093,
      0.507135738333588,
      0.511894521140321,
      0.502676316241977,
      0.49792271899147,
      0.502006363488683,
      0.509201245576227,
      0.508575054177148,
      0.49756740418817,
      0.490669042498341,
      0.495789937756435,
      0.513036781472831,
      0.534300545727695,
      0.534014143684286,
      0.514308567016321,
      0.505693099732357,
      0.528202367168513,
      0.565564717454015,
      0.559407903353021,
      0.504760382083311,
      0.451017296156113,
      0.434882887517689,
      0.457878901380761,
      0.482371769888552,
      0.481787703197078,
      0.476764778062157,
      0.483255186454274,
      0.489148091989881,
      0.483446562591618,
      0.465044549893549,
      0.44595895351438,
      0.103365555544755,
      0.149089319267006,
      0.222992749447465,
      0.333511301013855,
      0.428269369615503,
      0.464057526357969,
      0.484753664756857,
      0.502278652872091,
      0.510433235787507,
      0.498999910695924,
      0.474587416509462,
      0.458798291146211,
      0.463327674460916,
      0.472044245544513,
      0.455252676562075,
      0.419714887004216,
      0.39791028845678,
      0.40663006097523,
      0.437687759847897,
      0.462760710875969,
      0.464717725191344,
      0.452848558669931,
      0.443275765499166,
      0.44563088947734,
      0.45092686093361,
      0.438395957285602,
      0.413231035574931,
      0.399184631760593,
      0.409482417371124,
      0.437165475795773,
      0.460638968038516,
      0.471381806743425,
      0.483507818662108,
      0.503033678727201,
      0.514073462069866,
      0.487449248463839,
      0.436502421962726,
      0.416997329138082,
      0.439091485453224,
      0.475337031320137,
      0.500947341793243,
      0.515567107731412,
      0.527530484371187,
      0.534025735367454,
      0.531709316292277,
      0.513344729969829,
      0.46478510043808,
      0.412844301931358,
      0.402141272453505,
      0.43371016312171,
      0.475771531150279,
      0.49635135691273,
      0.501506273637234,
      0.511918961706486,
      0.519129668217946,
      0.508077793533685,
      0.485275572307174,
      0.466990312178233,
      0.463348720680625,
      0.473083725915121,
      0.486143087407826,
      0.492194726952189,
      0.489144080156212,
      0.491643112603919,
      0.501426592299311,
      0.50355582111266,
      0.487166280764573,
      0.464110413228323,
      0.456503826976491,
      0.465967654834209,
      0.483253503879075,
      0.501734528568252,
      0.513033512525134,
      0.507423756508162,
      0.497729823452778,
      0.498195595425239,
      0.507410384868761,
      0.501462632321452,
      0.460418813929803,
      0.411123591595247,
      0.379258672606675,
      0.369890054683746,
      0.378530417921062,
      0.395149344926484,
      0.410410049661303,
      0.422773392490386,
      0.435626324040288,
      0.448226457645826,
      0.452213788881308,
      0.437158089194013,
      0.408292514914807,
      0.388085618068337,
      0.386223022934558,
      0.397456249586697,
      0.412019476522121,
      0.420937439945959,
      0.426418403835088,
      0.436100323770162,
      0.452030868432856,
      0.471412780514746,
      0.477793743837549,
      0.451297840374098,
      0.419731680002823,
      0.42040483691396,
      0.454268100688848,
      0.494378115025368,
      0.504330873742754,
      0.475150800356502,
      0.438617954635455,
      0.428589812334545,
      0.45419948082778,
      0.478163874664853,
      0.454054090627148,
      0.418888339103373,
      0.421329477497192,
      0.460337306998443,
      0.502501245693073,
      0.511919775163518,
      0.48783466655388,
      0.455234612245468,
      0.435710568927584,
      0.437446337394511,
      0.450091437247351,
      0.462545834116559,
      0.474584770072797,
      0.485205562327261,
      0.487776676267718,
      0.476465155830336,
      0.465629893222262,
      0.472210657481173,
      0.487825121184232,
      0.492310835496574,
      0.476959671233952,
      0.458589317214076,
      0.456688185300775,
      0.468172975389792,
      0.485500374146032,
      0.501104874412424,
      0.502038052031178,
      0.490553338670778,
      0.485918755715316,
      0.487744241070666,
      0.479564062557881,
      0.460826244193904,
      0.45792318992432,
      0.486911393500502,
      0.54552156533364,
      0.605087248291457,
      0.626925716272064,
      0.625367321551293,
      0.633605669853399,
      0.647348141764365,
      0.631184754762069,
      0.589681474687183,
      0.559412116634308,
      0.554269260360914,
      0.545085196044605,
      0.511672440798988,
      0.485137340300801,
      0.489757218156251,
      0.51483196911562,
      0.52817227387833,
      0.50317162190769,
      0.45588816075982,
      0.421034868185017,
      0.414905256341514,
      0.433287821783192,
      0.454861006599992,
      0.46924807786732,
      0.481431044957848,
      0.48518858627303,
      0.472871585908616,
      0.465943583203052,
      0.477176870490709,
      0.492759188941005,
      0.492279674024552,
      0.473356390446921,
      0.463299031118503,
      0.475407433364417,
      0.4950175956008,
      0.507704433359713,
      0.508647181475952,
      0.498119634002195,
      0.487227327221285,
      0.488487664941461,
      0.513405194487609,
      0.553435149907257,
      0.554721365109791,
      0.511511002215382,
      0.467801052291915,
      0.45084732971454,
      0.461245940714526,
      0.474607325479092,
      0.475199579763967,
      0.472506771020495,
      0.474491411597622,
      0.479483940554092,
      0.481970956333081,
      0.478699358222067,
      0.478011613436038,
      0.0983298490284995,
      0.144442347074384,
      0.218681154614725,
      0.327568322903148,
      0.419110190952909,
      0.444138446747455,
      0.432010208727935,
      0.403573472654342,
      0.382786099716492,
      0.383483304536191,
      0.404222128151729,
      0.436710667910675,
      0.476167629945126,
      0.498334098457271,
      0.477190955383397,
      0.438326915588048,
      0.421637523321933,
      0.4386426393659,
      0.468423511005558,
      0.479166830573549,
      0.468500113764851,
      0.456160614616159,
      0.456002351734969,
      0.471985473327447,
      0.484511064149002,
      0.466619220025884,
      0.434221974885844,
      0.421542921711466,
      0.438733698348846,
      0.465488105083453,
      0.475408369753917,
      0.467265884188116,
      0.463599812351303,
      0.476937671936771,
      0.496110795794801,
      0.499058248063439,
      0.484662873075828,
      0.479288139248807,
      0.489373001135047,
      0.500880739594272,
      0.508092672388435,
      0.514074974907603,
      0.515677578414786,
      0.513945310403746,
      0.514576797501136,
      0.512212747957262,
      0.495033025675052,
      0.473321692023306,
      0.470222164822722,
      0.484444780151154,
      0.49864961700197,
      0.501918742632976,
      0.502243266710555,
      0.511273222942222,
      0.517902666072786,
      0.502319398306379,
      0.477629627396141,
      0.475507458587175,
      0.496389850416937,
      0.513053778756133,
      0.505075249207738,
      0.48271085518435,
      0.478775602486126,
      0.501352073887912,
      0.524486130120267,
      0.519445648811977,
      0.483250170377984,
      0.458443344569384,
      0.476098950041392,
      0.510553584466368,
      0.530160448186646,
      0.524248933522615,
      0.507848902199,
      0.508468066936005,
      0.525801129091315,
      0.54230695198341,
      0.548697246988422,
      0.535478618354628,
      0.491758132267038,
      0.436390532964984,
      0.39650358583697,
      0.384076966154993,
      0.395004748675439,
      0.415732495642249,
      0.435418964370354,
      0.449933910699114,
      0.457739531053532,
      0.465267447314075,
      0.473461428895566,
      0.466603348171941,
      0.437434759848388,
      0.409818217599289,
      0.40303609758768,
      0.414456452201709,
      0.431900510525781,
      0.445816706378933,
      0.453021517939023,
      0.454658466354994,
      0.4620879178197,
      0.485353754133551,
      0.509606933159881,
      0.498633679115021,
      0.465434093320546,
      0.453333451983693,
      0.471718619948612,
      0.495501766593799,
      0.491686683725846,
      0.464351608515781,
      0.44832276625058,
      0.463432243743523,
      0.506265501341803,
      0.536980724118516,
      0.514378915057056,
      0.475361218235291,
      0.464892921096799,
      0.485068906312034,
      0.5063585642063,
      0.497979379767647,
      0.470897512696609,
      0.452097615187451,
      0.445844529275223,
      0.444893402940326,
      0.451971024313393,
      0.47566585472108,
      0.501900121663606,
      0.508005415837597,
      0.488293451699726,
      0.464076877504006,
      0.465501650682526,
      0.487576773686958,
      0.504247846856589,
      0.49384319203078,
      0.465803363959228,
      0.462953780108003,
      0.492877861615303,
      0.521947265558265,
      0.527672613750821,
      0.511412261826982,
      0.49666719451995,
      0.50175673972958,
      0.515662320687398,
      0.524826722439938,
      0.526832717386501,
      0.524526112101229,
      0.520885314698879,
      0.529656260337563,
      0.567136648885997,
      0.619358592348944,
      0.638714575372484,
      0.633016721393126,
      0.642334156480023,
      0.658078759240473,
      0.637555710793782,
      0.589022287556958,
      0.559783671362346,
      0.564105293680378,
      0.560323504025485,
      0.52315600482313,
      0.489512139239689,
      0.491363530263443,
      0.519648366026263,
      0.535486879485291,
      0.505860049571223,
      0.450550130645466,
      0.409776215438015,
      0.404618179461385,
      0.442901115181945,
      0.496472737022034,
      0.524043845308238,
      0.517525723682416,
      0.487226022626382,
      0.462231282236522,
      0.46606162377405,
      0.486078487824149,
      0.496819871659807,
      0.479150070409733,
      0.452189031127085,
      0.459731908528232,
      0.496488826389872,
      0.525968480358026,
      0.526151024262322,
      0.505385262575555,
      0.49650196917301,
      0.511196899426595,
      0.529299357489655,
      0.536818941428284,
      0.53998011200027,
      0.554282602209336,
      0.57215502543147,
      0.57180832752616,
      0.543944528738418,
      0.507042999982364,
      0.479250609914276,
      0.457840087940492,
      0.438899120518695,
      0.431489509784278,
      0.438858272385559,
      0.452247181287948,
      0.465618288757572,
      0.485824590883976,
      0.0936772851036527,
      0.14946095805302,
      0.239299204825964,
      0.365251608033236,
      0.458413980481541,
      0.466334356623383,
      0.434331254804484,
      0.390019161544594,
      0.36159317907259,
      0.363132198131045,
      0.392245947440098,
      0.442048965648736,
      0.505670292537508,
      0.548856697204669,
      0.54173238295617,
      0.518579014088771,
      0.517309445798979,
      0.536629646460478,
      0.549275532383118,
      0.538012673291487,
      0.517402246857319,
      0.505143092476178,
      0.508366731302671,
      0.527067949323577,
      0.539248567040415,
      0.525544320282573,
      0.509175976498699,
      0.515791374249988,
      0.537701931549952,
      0.547019949418651,
      0.532354834771501,
      0.502652553229627,
      0.479143742935475,
      0.482791560281438,
      0.516872131075965,
      0.562103854600163,
      0.584064526844058,
      0.58152978870134,
      0.577580617918558,
      0.577530941712543,
      0.578932072375825,
      0.572677461825441,
      0.553325724320025,
      0.539097699467289,
      0.544610053923677,
      0.562396375641386,
      0.576557559671145,
      0.577509328580098,
      0.574288418905073,
      0.574695286357921,
      0.575210027568561,
      0.567867817592375,
      0.55102615303788,
      0.532593907244326,
      0.519127020717282,
      0.506660421807146,
      0.494809666032625,
      0.490873850390919,
      0.498788025502875,
      0.515111029433839,
      0.527713491385228,
      0.52514471132656,
      0.513423257671472,
      0.515800281305149,
      0.532198083661288,
      0.54071026559682,
      0.525365342887279,
      0.496673572062329,
      0.481460061140658,
      0.488999408006269,
      0.509985064122832,
      0.53177288740949,
      0.539763890093209,
      0.530464604784963,
      0.526288396900966,
      0.537555590680497,
      0.560057341587659,
      0.568577971458575,
      0.528179056585372,
      0.468350932636795,
      0.435196882133991,
      0.44017136237787,
      0.468623366247601,
      0.496356200077153,
      0.5136850344506,
      0.516370267930283,
      0.499973842968516,
      0.482383764591473,
      0.481404378880845,
      0.486720250051366,
      0.475400463538529,
      0.462352040959769,
      0.47362952131317,
      0.500332859348928,
      0.520345541598315,
      0.529482430430702,
      0.52855681570455,
      0.516970419008214,
      0.51032844496044,
      0.52742752635269,
      0.558665054006501,
      0.565458095326282,
      0.547531230027992,
      0.536403997555364,
      0.539679828385754,
      0.544370505898834,
      0.533743184001273,
      0.512932025470999,
      0.505527363881654,
      0.526198208105155,
      0.569671587913787,
      0.600511519781258,
      0.587207988150222,
      0.557063505372313,
      0.539439259859609,
      0.535773043285652,
      0.534581456010114,
      0.52560709390889,
      0.515456275115256,
      0.513769400008543,
      0.51682504970698,
      0.51399660319246,
      0.503444446590843,
      0.501995830813502,
      0.515803832536537,
      0.531066425120055,
      0.531000639099177,
      0.506381487352206,
      0.47993605440577,
      0.478889942357139,
      0.495907921404956,
      0.508537955753223,
      0.502279469745456,
      0.48895822475686,
      0.490987299703402,
      0.506978172390754,
      0.525313429558951,
      0.534586557333218,
      0.527191359943898,
      0.516271639887144,
      0.519190323177814,
      0.533534635013187,
      0.548241562538319,
      0.549951063025724,
      0.546568563195139,
      0.562223753683332,
      0.608819571898478,
      0.668306809269658,
      0.693386798710288,
      0.686430608963448,
      0.676255431227481,
      0.657400128761624,
      0.61285797462974,
      0.563140976904925,
      0.541581955898708,
      0.549351403919746,
      0.552320500002501,
      0.533129350099139,
      0.512435934649295,
      0.509555367196752,
      0.523279450648714,
      0.530882187653907,
      0.503319805217307,
      0.454602036770017,
      0.424718352427651,
      0.429967606579381,
      0.460232419372243,
      0.488893169319135,
      0.506321372840417,
      0.519251059860126,
      0.520845910535334,
      0.505820301478623,
      0.496022537774599,
      0.503907333705458,
      0.51649303090783,
      0.514141727467966,
      0.493052823548505,
      0.476677479312713,
      0.482607317551662,
      0.50334410165931,
      0.524753687169145,
      0.533252733764176,
      0.523889337925042,
      0.516415686053881,
      0.521888617355388,
      0.523628743571415,
      0.506448902254695,
      0.496364453547664,
      0.508152659441612,
      0.520868309736034,
      0.518197850573619,
      0.507707400855873,
      0.494441642395982,
      0.465061733480666,
      0.425594241382675,
      0.401541018590818,
      0.39933792289152,
      0.40994602691789,
      0.426182291608588,
      0.453048151507278,
      0.1519965418207,
      0.241480374843284,
      0.37536659417934,
      0.543340539929348,
      0.639946191518277,
      0.632741083689835,
      0.617601622293637,
      0.610202884910358,
      0.610757027948733,
      0.607713779897832,
      0.594283654207417,
      0.591349391787089,
      0.61532267921905,
      0.64527959024167,
      0.655815827003207,
      0.658368176051589,
      0.672044472896801,
      0.691959956936317,
      0.697439136074454,
      0.677835556042164,
      0.643684729205051,
      0.615041797755942,
      0.607745493281601,
      0.622448751282194,
      0.638930177809955,
      0.644085293128083,
      0.652525040819205,
      0.676103869571752,
      0.700313721463255,
      0.700817051254415,
      0.674423343545447,
      0.633349739148465,
      0.599459238347696,
      0.592120446731092,
      0.611303393247959,
      0.633975083782774,
      0.632887060160058,
      0.621353675515208,
      0.627495725294614,
      0.651225642584484,
      0.674873339840874,
      0.684066498758018,
      0.681407812581444,
      0.677516287572793,
      0.675718589819747,
      0.671417259726572,
      0.655063172282612,
      0.62914755763428,
      0.613045909354958,
      0.618816804717772,
      0.641487984089895,
      0.660705535390797,
      0.66272972618009,
      0.648118511275679,
      0.626008802575584,
      0.614513570539506,
      0.618807249172055,
      0.619313088241885,
      0.609041184983482,
      0.60816333545053,
      0.623850973848088,
      0.636670778520331,
      0.626622975867972,
      0.611376718010483,
      0.612289445232172,
      0.627696116990095,
      0.643221583788649,
      0.636417215061547,
      0.608251697848937,
      0.591203806902661,
      0.601586185311817,
      0.634995523849921,
      0.663479370936773,
      0.650116794297772,
      0.619025960583859,
      0.60838600531167,
      0.632830529155327,
      0.66897722309792,
      0.654767844650015,
      0.607516860270928,
      0.586900945670862,
      0.606217353342293,
      0.641270326284884,
      0.658659329965705,
      0.652552787500641,
      0.634368771012687,
      0.610177646885103,
      0.596159540519692,
      0.605096691551398,
      0.622187655907443,
      0.621247897871927,
      0.619308299184978,
      0.642893879609634,
      0.67351400298362,
      0.678666204136215,
      0.65954866410697,
      0.634976501486604,
      0.615144171716256,
      0.606389668743694,
      0.614870556168157,
      0.634302522761346,
      0.648147074195635,
      0.654444385683092,
      0.65991001838165,
      0.66150541118002,
      0.658034596315455,
      0.658752935235151,
      0.665589985084945,
      0.664930793177731,
      0.656169561910736,
      0.649887214424015,
      0.650230088149237,
      0.654358142345657,
      0.656794202059305,
      0.65857725552707,
      0.659798222183665,
      0.660512412464167,
      0.668127139349922,
      0.682570700724553,
      0.690924693972987,
      0.685670733071152,
      0.669225331053173,
      0.644959115694267,
      0.621958083937497,
      0.614216460412891,
      0.625656682647661,
      0.641793540350965,
      0.63674389828277,
      0.610975044646111,
      0.598591421964354,
      0.609931732495573,
      0.636017950716865,
      0.654734055114981,
      0.640085526131363,
      0.609903908319489,
      0.596867257302972,
      0.610677518003792,
      0.637269494918495,
      0.642719842767991,
      0.619562142902577,
      0.601107311006664,
      0.59233697062558,
      0.562855067817803,
      0.510237585896561,
      0.490219930219538,
      0.528187894146232,
      0.603307891430251,
      0.661671477837577,
      0.673220803978441,
      0.672343586938604,
      0.674825623793388,
      0.664992611391986,
      0.637984586392233,
      0.623120895973856,
      0.636180747991547,
      0.66136201096766,
      0.676468474984923,
      0.671333263411005,
      0.656427333575995,
      0.646721700541023,
      0.648440444730116,
      0.655629329701865,
      0.648616497281385,
      0.62784830377708,
      0.616205978259891,
      0.621275259349503,
      0.621334657105252,
      0.601709270213006,
      0.589965596634736,
      0.606441756712062,
      0.63096803037273,
      0.630273383690419,
      0.615141571626276,
      0.613659701372737,
      0.625496558810075,
      0.636538245153997,
      0.630961015582591,
      0.608573204581045,
      0.593908042542296,
      0.601730057167567,
      0.631033045343976,
      0.663002708070704,
      0.659047390476075,
      0.624569519127577,
      0.596903928590759,
      0.575489615823028,
      0.532724612721633,
      0.472043426670069,
      0.432041966513997,
      0.428650011169446,
      0.455837076258676,
      0.490661689658376,
      0.503750342640694,
      0.487442486499158,
      0.463448633916179,
      0.443991791268388,
      0.425067549675818,
      0.405083329544209,
      0.389994461092008,
      0.392424663221574,
      0.297332340806257,
      0.414441462083747,
      0.566735785143641,
      0.735354423935831,
      0.817859815941162,
      0.824553356451649,
      0.851051197527344,
      0.88269303247419,
      0.899542587874957,
      0.87706230877698,
      0.815271441565211,
      0.756520779570596,
      0.73202837149387,
      0.736545640005641,
      0.751668251859831,
      0.766797699924572,
      0.785355860489531,
      0.805708371598533,
      0.812442680054632,
      0.784059174959692,
      0.726222258716586,
      0.681749676528099,
      0.679242136510963,
      0.705220658134474,
      0.729732875914572,
      0.745660861086282,
      0.762077990037581,
      0.781727101343545,
      0.79990923176602,
      0.804210310575382,
      0.779179590771919,
      0.72501428704959,
      0.678279328198404,
      0.664975423467526,
      0.673458566558218,
      0.677384025782388,
      0.670465428815543,
      0.675005561992434,
      0.702303056728184,
      0.739374904643416,
      0.765960034144264,
      0.779719313546118,
      0.787475955496686,
      0.782456721645721,
      0.760931392514972,
      0.728046110447169,
      0.690311064853045,
      0.663184225027489,
      0.66168011970325,
      0.688501581136998,
      0.730324231145618,
      0.761218810232377,
      0.771981042896972,
      0.768574135435441,
      0.752346464359239,
      0.73816737118948,
      0.739488902924362,
      0.743490050645938,
      0.736847389415008,
      0.734324727735307,
      0.753032045831096,
      0.781279264488838,
      0.778267342085316,
      0.745885405223944,
      0.721841889941008,
      0.727510928074679,
      0.757681259784259,
      0.774005702275977,
      0.757969000410168,
      0.739047817948817,
      0.739251359745304,
      0.758986922350855,
      0.777078570377918,
      0.758219675759958,
      0.717932570322843,
      0.695395049708726,
      0.717363424100954,
      0.77261787277464,
      0.788579009122408,
      0.765664281355436,
      0.7582054845388,
      0.775069182419611,
      0.796203537449829,
      0.803645926135643,
      0.797722078469559,
      0.784050630749511,
      0.770312567592665,
      0.773078843584537,
      0.789389634029696,
      0.792842606204451,
      0.778014555664881,
      0.773399630725393,
      0.787912985428019,
      0.802523718855723,
      0.802070298708821,
      0.789855747927387,
      0.770641747136899,
      0.748869239338778,
      0.734839546528489,
      0.730502366830757,
      0.72758085631814,
      0.723061161588622,
      0.726948864598005,
      0.742778901886833,
      0.76509857566921,
      0.785635722177981,
      0.802522713567078,
      0.81480120684637,
      0.812777928191133,
      0.794399731967476,
      0.764291137206085,
      0.728609968992765,
      0.706483504088934,
      0.708572851622466,
      0.728563034683381,
      0.756633341859597,
      0.782471866073116,
      0.805206310942628,
      0.82411836559792,
      0.826859895417304,
      0.811345146720057,
      0.791072114713,
      0.771431403234006,
      0.749649702653266,
      0.734790325061769,
      0.74225627187642,
      0.770991218809241,
      0.787320488766426,
      0.76652749031581,
      0.74048566991575,
      0.735512943277517,
      0.754149954440645,
      0.77647140422249,
      0.770155859789228,
      0.744797774503927,
      0.729648320022323,
      0.736445997082086,
      0.759598199495898,
      0.767228114000967,
      0.739073174677792,
      0.704185825390644,
      0.678007978582191,
      0.631617569901215,
      0.558029466300433,
      0.517274480105975,
      0.540216956738919,
      0.600520845282244,
      0.636994020702896,
      0.635548555361527,
      0.649534734965933,
      0.685141228905975,
      0.706276338272735,
      0.701497931950828,
      0.713499169909002,
      0.757570774602883,
      0.80274699396378,
      0.825532452474904,
      0.826306263767668,
      0.817540010578612,
      0.807902294150079,
      0.804910102404716,
      0.814364355139349,
      0.831199141891956,
      0.842451369611395,
      0.841429680640095,
      0.825277444046758,
      0.787407738073537,
      0.744096285535689,
      0.727922153966807,
      0.74410101155337,
      0.772271747459798,
      0.77492832424038,
      0.750134307434829,
      0.730964845626298,
      0.734064374234053,
      0.758189216400662,
      0.776611083030726,
      0.764139359661914,
      0.741935071893371,
      0.734729270368148,
      0.748213418981982,
      0.769389337834298,
      0.763016528742632,
      0.72760783488276,
      0.690177295765979,
      0.647150783067572,
      0.56701426805579,
      0.467076448328747,
      0.410208783578544,
      0.407959184370889,
      0.437856568689108,
      0.470525275491429,
      0.491211824989189,
      0.506403320367775,
      0.511446573199673,
      0.493022151650252,
      0.455826791149526,
      0.414352807671287,
      0.383500951055513,
      0.378396334684566,
      0.302379541646708,
      0.386466983245578,
      0.496114914832458,
      0.634868920691603,
      0.730010008220791,
      0.730969678816832,
      0.686609751014543,
      0.647126253623289,
      0.634046195974346,
      0.621644521021808,
      0.597288325063219,
      0.583565109448799,
      0.602201636967923,
      0.640430434230807,
      0.662426807482572,
      0.660782312883513,
      0.65600879063472,
      0.661376149421934,
      0.673627956554775,
      0.671368670133128,
      0.648066994145991,
      0.625512100143599,
      0.62090977434404,
      0.632692639303977,
      0.650389315375111,
      0.66204912009488,
      0.661910229929402,
      0.65741911015701,
      0.660491327810905,
      0.670009087340898,
      0.668045542392663,
      0.643395967678237,
      0.618345530417433,
      0.618900770459442,
      0.641941813006805,
      0.662736718556256,
      0.666038412221946,
      0.67056852936887,
      0.687579777553966,
      0.704410585917284,
      0.710151302587527,
      0.707753937664295,
      0.699694551177694,
      0.688466192227066,
      0.683408436198608,
      0.679525115761209,
      0.66207697146553,
      0.644067086460118,
      0.647873056163626,
      0.67062207433176,
      0.694404155668199,
      0.70647602662343,
      0.707775219422933,
      0.69697781811255,
      0.66988782063726,
      0.64219712394771,
      0.629468704129693,
      0.628973759597298,
      0.633043928763652,
      0.638312756357417,
      0.638806125207228,
      0.626356924415112,
      0.602537990763715,
      0.590313195951722,
      0.596482714914764,
      0.611902164005179,
      0.626450614431104,
      0.626801671350297,
      0.614662399180596,
      0.610691733749867,
      0.624571471183599,
      0.64831976492387,
      0.656555444063346,
      0.632502271982281,
      0.607188492767966,
      0.604353748688291,
      0.628296945426345,
      0.657703923096158,
      0.652757178153122,
      0.631233585466818,
      0.620476007051292,
      0.618833276271376,
      0.6286727384589,
      0.659789706537902,
      0.703980149609459,
      0.728927553290823,
      0.728408351006105,
      0.725194510796961,
      0.717075873197968,
      0.690314083943874,
      0.662092330205972,
      0.651218841558204,
      0.650059881370211,
      0.657653010845679,
      0.682416882688111,
      0.715259328582008,
      0.726987799713971,
      0.710851256878842,
      0.691054148326207,
      0.680798212004857,
      0.67727127867491,
      0.668933363237108,
      0.658124688255349,
      0.651912724000496,
      0.65091033614256,
      0.659744871872057,
      0.677364144098418,
      0.689325747016438,
      0.688383036475876,
      0.686645410952584,
      0.694672016911312,
      0.699234533478361,
      0.686349193665992,
      0.672107202445,
      0.663784615578799,
      0.661809380873799,
      0.673945985863686,
      0.699749009733388,
      0.71754557929368,
      0.710122084143113,
      0.688207367488453,
      0.670122842548066,
      0.65421025215152,
      0.642355369948597,
      0.643494048593616,
      0.651206519503454,
      0.647297505275937,
      0.61880310777703,
      0.584462014115497,
      0.574034955304228,
      0.589595180667182,
      0.618683553005382,
      0.639333324828505,
      0.632519331588835,
      0.618667049827131,
      0.619261122554547,
      0.63123288902401,
      0.638357726993512,
      0.623629490811563,
      0.601252129407681,
      0.594226974774787,
      0.593540645863169,
      0.568291339307551,
      0.520680035296465,
      0.505472570009008,
      0.541758128540839,
      0.596387927745019,
      0.613189595208365,
      0.593887978682146,
      0.600314216377111,
      0.638783021087328,
      0.664485125186429,
      0.653783744064437,
      0.644879986690389,
      0.659108947311063,
      0.678047156392649,
      0.684668612744252,
      0.680972557140545,
      0.674318514934512,
      0.66543214540554,
      0.660048892336896,
      0.662511672919953,
      0.665978257620439,
      0.663563763360409,
      0.657624313008157,
      0.651609707742767,
      0.641210902566484,
      0.629207557266095,
      0.629431638614335,
      0.637560199382798,
      0.634876678042307,
      0.613191666243106,
      0.596043711357296,
      0.598635595212356,
      0.612315553290269,
      0.623319837864229,
      0.618851759672095,
      0.602683685034752,
      0.598396652419923,
      0.613411995339911,
      0.639013091873765,
      0.655817311109988,
      0.641030892180809,
      0.613356333410207,
      0.597954491638275,
      0.585364662176522,
      0.548837756686775,
      0.508116530598325,
      0.502986131026226,
      0.519602988711863,
      0.523516204889552,
      0.507636474595912,
      0.494468117990425,
      0.496308448969752,
      0.493295158000458,
      0.474720115241199,
      0.449870514004516,
      0.42983342162357,
      0.420565415275247,
      0.42836442506357,
      0.149272444747346,
      0.205099169479307,
      0.288896644139067,
      0.408538578161071,
      0.503029164471236,
      0.508847433119796,
      0.45901428548592,
      0.400371081705976,
      0.366999905270609,
      0.35774264595201,
      0.367825330648941,
      0.40123308905164,
      0.461411986523748,
      0.522847568949325,
      0.539219422646083,
      0.517920403546157,
      0.500701023806858,
      0.50605046997634,
      0.524865400024433,
      0.529467791031668,
      0.515918554157947,
      0.50417140616982,
      0.505316206197772,
      0.51988962606967,
      0.536390698257699,
      0.533811184614373,
      0.516534951527172,
      0.507053200883688,
      0.51526279565529,
      0.531006594236543,
      0.533660772308263,
      0.516932726132628,
      0.501457163280498,
      0.512293842670709,
      0.550879290675315,
      0.58151204998119,
      0.574986430068753,
      0.563421330063487,
      0.573807389059474,
      0.595545303124568,
      0.610239399386685,
      0.608801779474235,
      0.589820750758714,
      0.570066133567903,
      0.573336054297548,
      0.59012650131775,
      0.585683765305075,
      0.563600747059528,
      0.55744862865312,
      0.573938911027015,
      0.597088841049102,
      0.609840401520809,
      0.606824075758506,
      0.585979965471917,
      0.551844916414469,
      0.521276607341803,
      0.49918666406662,
      0.479825692712006,
      0.47301835182919,
      0.4862583407632,
      0.508330326300461,
      0.518485564698569,
      0.503879511194818,
      0.488365274706919,
      0.487267287315225,
      0.491580636545999,
      0.490028752879162,
      0.475344621508984,
      0.456428391595092,
      0.454791220502312,
      0.476218301786477,
      0.510917285030016,
      0.533692272705366,
      0.520571876859041,
      0.499223776628012,
      0.496856002247942,
      0.517684377126315,
      0.536579338237634,
      0.513554940291069,
      0.468929908616864,
      0.438238941708378,
      0.429130381960211,
      0.443957230375757,
      0.479763630010022,
      0.520278106324102,
      0.539074285433543,
      0.530959223105058,
      0.517211423136774,
      0.508111956545474,
      0.497659869102838,
      0.480549042000954,
      0.464134920453146,
      0.459701378755453,
      0.473527721620604,
      0.50363542888232,
      0.534171286980182,
      0.541306509425504,
      0.523553292117,
      0.508834177538985,
      0.51620918017439,
      0.537941794592684,
      0.541739828584668,
      0.528824473215372,
      0.524182891710978,
      0.530003493006235,
      0.538967105386642,
      0.536730228517521,
      0.510706705015299,
      0.479377665916534,
      0.47589403303013,
      0.512864758244839,
      0.554401691919181,
      0.551248037981618,
      0.528212425389992,
      0.517979157321806,
      0.521189332991811,
      0.534510800611928,
      0.547626441084225,
      0.543752236137416,
      0.522951921898225,
      0.504904120219029,
      0.503362792126393,
      0.499884926867152,
      0.487899241164684,
      0.489839361294713,
      0.508360058463125,
      0.521463630413517,
      0.504611066019277,
      0.470092875534402,
      0.457115474608612,
      0.468559259093149,
      0.485883194245718,
      0.489495493557431,
      0.473372966583264,
      0.462509724344469,
      0.472788549247181,
      0.498083163630463,
      0.521361677900821,
      0.518610475325419,
      0.495487226518106,
      0.484684130604922,
      0.485956617131695,
      0.479455495697794,
      0.467376255505099,
      0.482706447917214,
      0.537415568147367,
      0.601008830865957,
      0.616226537893704,
      0.584178913171321,
      0.570460068982643,
      0.593455204095837,
      0.617295362999421,
      0.603377707706532,
      0.569447232847872,
      0.547900183147464,
      0.545381083890943,
      0.544838116613018,
      0.533517297791129,
      0.520982151642889,
      0.51598779035875,
      0.520489668811369,
      0.52866879135926,
      0.519426575459955,
      0.485466694564327,
      0.450530186935748,
      0.439179368052211,
      0.44966787965351,
      0.461695504447581,
      0.473449123383458,
      0.493121508121412,
      0.50807615933164,
      0.49507721308685,
      0.473154170683539,
      0.471419177015857,
      0.484845884660453,
      0.494168167486187,
      0.482278571916593,
      0.45798720381151,
      0.452650813620375,
      0.472410156259785,
      0.503927262739018,
      0.52634364907578,
      0.518042680020436,
      0.496598752560616,
      0.490876855046263,
      0.501755938128127,
      0.516186997624188,
      0.523982860861776,
      0.528045130516646,
      0.533036457744924,
      0.532560317558623,
      0.527290705688673,
      0.519444177833137,
      0.500308622449333,
      0.473227907103429,
      0.452878419274265,
      0.443676003375501,
      0.442443065833575,
      0.443925083365862,
      0.448408570998232,
      0.07075072228524,
      0.117606740666047,
      0.192181773594384,
      0.297786613639104,
      0.383397939075104,
      0.4121266196213,
      0.414160886265761,
      0.397232789238042,
      0.379201905652985,
      0.37106317427364,
      0.378630022849846,
      0.405473253735079,
      0.449929163515745,
      0.490247292658117,
      0.490739938825436,
      0.460046591733672,
      0.436176931436157,
      0.438922152111673,
      0.461804762215934,
      0.473972611342067,
      0.465595504981032,
      0.457694175778161,
      0.462750600520469,
      0.47850879368395,
      0.489940067927928,
      0.477330496513125,
      0.449218446960932,
      0.431246708119795,
      0.437135548192681,
      0.458770195743965,
      0.469063328697007,
      0.456607162334475,
      0.444109614138126,
      0.453623770073228,
      0.480599019993058,
      0.489164624847542,
      0.463923310112348,
      0.447699501784079,
      0.465036830179208,
      0.497745563103355,
      0.519432533277785,
      0.524363807075101,
      0.518042149997671,
      0.507302221502459,
      0.504222734597862,
      0.505582009780012,
      0.486381613932279,
      0.454070941705457,
      0.445998904412001,
      0.471518462872729,
      0.506645134034553,
      0.521231811566292,
      0.516618142640463,
      0.507389587470544,
      0.497687772308808,
      0.486747149134235,
      0.469277503700997,
      0.442758992455429,
      0.426397238353107,
      0.436740947000576,
      0.461711465399846,
      0.474640329006472,
      0.462937581170303,
      0.452513833731655,
      0.457535124980415,
      0.465166955610954,
      0.462287068527951,
      0.446322192119844,
      0.429352834588694,
      0.428754830223765,
      0.447015807006921,
      0.475923946981547,
      0.493708736367049,
      0.477151210141541,
      0.454218554079196,
      0.455205621936508,
      0.481582651327562,
      0.496256699389728,
      0.455237300970132,
      0.396499752234918,
      0.365668284300255,
      0.366254825070692,
      0.3864810980731,
      0.410772244297571,
      0.428890661834484,
      0.437873959990263,
      0.442429923077,
      0.447917817957097,
      0.447395255128962,
      0.427585558220679,
      0.394678115850244,
      0.375970965756186,
      0.382403638615057,
      0.40371890357305,
      0.425348354304131,
      0.43778629511061,
      0.439204137006956,
      0.436897993246523,
      0.442934163324467,
      0.460756877639851,
      0.473821854710967,
      0.457552958372475,
      0.435317951038597,
      0.443440850468605,
      0.476544168785048,
      0.501677242404194,
      0.489487335566462,
      0.447040533947729,
      0.413408371789375,
      0.416226851063646,
      0.454719944213019,
      0.486368671730797,
      0.467243879329898,
      0.438944100030343,
      0.446796438065521,
      0.480906633369925,
      0.505175025401389,
      0.493900204240226,
      0.461203176178506,
      0.436580548405081,
      0.430043864389921,
      0.435708477104172,
      0.43396633332844,
      0.424549872603878,
      0.430062453975297,
      0.452703520087257,
      0.47205993436237,
      0.465529164146069,
      0.442504202848924,
      0.437532855965158,
      0.451840211964549,
      0.46599756178143,
      0.461252490380316,
      0.437428058245088,
      0.422244618317273,
      0.429995557229012,
      0.454250508297351,
      0.479257501725683,
      0.478606331328366,
      0.453772493669576,
      0.440792158440012,
      0.444875366130307,
      0.448939179798432,
      0.451950755609534,
      0.476914278522088,
      0.536022739535871,
      0.609449219446944,
      0.641987906193212,
      0.617366416458491,
      0.59358882709991,
      0.60416563069193,
      0.626627702111272,
      0.61537816679116,
      0.577623789401193,
      0.551872490663667,
      0.550448964804939,
      0.546112587635836,
      0.51951005198121,
      0.496893249432182,
      0.499893608219709,
      0.521116837431572,
      0.535198249396323,
      0.513927656825973,
      0.463081481672934,
      0.4167060070918,
      0.397751533042338,
      0.403353705078544,
      0.41523778133911,
      0.430019970823115,
      0.452118938200741,
      0.465602042287074,
      0.45010353273956,
      0.430552491794199,
      0.434923887375661,
      0.454630858720482,
      0.467164386809501,
      0.456693366366588,
      0.436001391060709,
      0.433076370182832,
      0.450131415760733,
      0.475229766677126,
      0.491524457069009,
      0.47915249413528,
      0.455028179187455,
      0.451509558599541,
      0.4784193433988,
      0.52025999620677,
      0.527633045231372,
      0.499212148934118,
      0.475661478712866,
      0.476238805277472,
      0.49130997735711,
      0.492642444849278,
      0.475072522909205,
      0.465075171946866,
      0.467626793945373,
      0.467653499499724,
      0.457336579444944,
      0.440454459506956,
      0.431686854622944,
      0.0652066249040443,
      0.111340261167,
      0.185630089449962,
      0.291962937308834,
      0.378800316718222,
      0.413565417012496,
      0.440797265363503,
      0.466109602879128,
      0.484558789202968,
      0.484057271641126,
      0.466708735112815,
      0.454857690103314,
      0.461359477302731,
      0.469094687385162,
      0.452283522936627,
      0.421566391001975,
      0.405262198376475,
      0.412533397291274,
      0.433001840311241,
      0.446201287530776,
      0.447671862128313,
      0.448482654040767,
      0.453739300609738,
      0.461412523243204,
      0.459442629277172,
      0.43747608923403,
      0.410557307765064,
      0.399619367011394,
      0.409760851051562,
      0.429319859553656,
      0.441021958270839,
      0.441227047694389,
      0.443233922762007,
      0.457857901818736,
      0.479109751702919,
      0.479444162291266,
      0.451303335521378,
      0.435715226208352,
      0.449173188061441,
      0.469411089039826,
      0.47874050992896,
      0.486787629635592,
      0.4964136535452,
      0.49499017891776,
      0.488742342952098,
      0.485395646542737,
      0.4661894644537,
      0.43370107332147,
      0.425483884360514,
      0.449184741270516,
      0.474987816627616,
      0.476832932307785,
      0.473122510369228,
      0.48583896566589,
      0.496772685397482,
      0.486202835936379,
      0.467038051379978,
      0.454876125743192,
      0.454987013778172,
      0.465024462051644,
      0.473705482424831,
      0.472474947158478,
      0.463598280685337,
      0.463864623381298,
      0.474716138326511,
      0.479115660395091,
      0.469010350863617,
      0.454020831263383,
      0.447359697973346,
      0.454037452916289,
      0.467903589131804,
      0.481331599623718,
      0.486635065941766,
      0.475004043463629,
      0.462241784412532,
      0.463518314542523,
      0.479748233481059,
      0.483315830974723,
      0.436621911334609,
      0.376742421241584,
      0.346777842615092,
      0.347755424425426,
      0.363427077944435,
      0.379451341654154,
      0.396780284163567,
      0.420999374773763,
      0.449594782516665,
      0.473060707504639,
      0.473088070635041,
      0.435040617785622,
      0.383723498624656,
      0.360631609978963,
      0.36798258549335,
      0.385392933225156,
      0.399582065002757,
      0.411238224718586,
      0.425778998891606,
      0.443346818745473,
      0.461321227066782,
      0.476989321913241,
      0.47796383015499,
      0.45061108008262,
      0.423170126479092,
      0.42820907140563,
      0.461140001967552,
      0.488275752365499,
      0.478080360350555,
      0.44198412742323,
      0.418737550518671,
      0.427105192794652,
      0.460319938377467,
      0.480329479167118,
      0.454642874239371,
      0.423583385202722,
      0.428816499929162,
      0.463462292554,
      0.488735874087315,
      0.475223567303486,
      0.441364707326825,
      0.419709775802549,
      0.414883851251963,
      0.420940674572981,
      0.432822186185569,
      0.447419288126125,
      0.462387451705073,
      0.472140826428491,
      0.470736063985721,
      0.456915983073804,
      0.442270897338915,
      0.444860457022292,
      0.459538577033605,
      0.468163279156699,
      0.46076915612646,
      0.446948573945102,
      0.446365975280585,
      0.458898287730438,
      0.472814797734857,
      0.480486669776159,
      0.474936883961619,
      0.459722778613185,
      0.451691608090266,
      0.450039291887591,
      0.444747164231585,
      0.443952749972731,
      0.466031428317054,
      0.518043425859334,
      0.59047230338115,
      0.639601739521127,
      0.635684615349796,
      0.620993572005428,
      0.633013788859947,
      0.654789052509071,
      0.639292522556953,
      0.594556805416671,
      0.562622098181769,
      0.554517318632042,
      0.541264348732507,
      0.506488293627572,
      0.480565681850249,
      0.487135493712386,
      0.515239103085948,
      0.532651511457255,
      0.511620460414894,
      0.464588519462836,
      0.423635905048925,
      0.410124451455704,
      0.426466240611963,
      0.45120128980848,
      0.466232018667677,
      0.471918139873823,
      0.467795532072337,
      0.454495907841737,
      0.448201457843407,
      0.458416800673557,
      0.472941914135491,
      0.475010925531631,
      0.461385204853812,
      0.449268011191315,
      0.455277887427892,
      0.471333255306869,
      0.482829232253476,
      0.482992445459804,
      0.469880444863418,
      0.45648943850992,
      0.456503564015109,
      0.48005315347042,
      0.518824230244724,
      0.522237622475917,
      0.491556428165575,
      0.46410264719777,
      0.452097000048288,
      0.44987020688483,
      0.442953765689718,
      0.43432060830344,
      0.434418967674674,
      0.439352292706084,
      0.441009038088478,
      0.432962671460471,
      0.418433980341329,
      0.41602039191092,
      0.0735594010215937,
      0.122629798986468,
      0.202623124598154,
      0.319529169963267,
      0.415242722640041,
      0.446656346124302,
      0.46739584461919,
      0.496140296899471,
      0.527154234087206,
      0.539046464238361,
      0.523108040073265,
      0.501581709324406,
      0.496358124975336,
      0.492127162426324,
      0.465016276725844,
      0.432149183592848,
      0.422718180201753,
      0.437950448587796,
      0.455224076422729,
      0.456836429872747,
      0.450326586352983,
      0.448787419338172,
      0.457215987140433,
      0.474204368074676,
      0.478410469040573,
      0.45269994862263,
      0.423616941310239,
      0.419601487413292,
      0.437942623724699,
      0.455134453362732,
      0.458631835413811,
      0.456566849244887,
      0.460037857267379,
      0.475357338826121,
      0.501052764070254,
      0.523640460628825,
      0.525430199803358,
      0.519597455246617,
      0.522634419915464,
      0.530249877055899,
      0.536153921817283,
      0.539449955012876,
      0.530651871179722,
      0.508833416315089,
      0.494940977045637,
      0.503792403427372,
      0.519222919224917,
      0.518058087419099,
      0.513426518803185,
      0.519754374446923,
      0.528846353930716,
      0.527486042904814,
      0.522280002817969,
      0.52455631421391,
      0.523241427682167,
      0.507242382548783,
      0.48676093499629,
      0.469571793024783,
      0.460585474146298,
      0.46575232176872,
      0.484439103789631,
      0.505085757282518,
      0.506725569258754,
      0.49730318667909,
      0.493376606686271,
      0.493092137435551,
      0.490928440153101,
      0.481476458689871,
      0.467334230010284,
      0.46157382450192,
      0.470275037576868,
      0.494906631321807,
      0.522328777647492,
      0.520797115508648,
      0.500113205043916,
      0.488611984553439,
      0.496628875369063,
      0.502362303277644,
      0.468277465199512,
      0.419063665755882,
      0.389234530214936,
      0.38356363223593,
      0.393045414269028,
      0.407134259675571,
      0.42492528650936,
      0.442547939918113,
      0.453282874027107,
      0.459826259090521,
      0.463144267447112,
      0.455223871547737,
      0.432953189875829,
      0.413516495931444,
      0.410217571893928,
      0.417167861394746,
      0.427477554070112,
      0.442417769682507,
      0.456720711413382,
      0.462578753525345,
      0.466832610481387,
      0.483082530952815,
      0.502490390263793,
      0.492079131972538,
      0.462253470645147,
      0.45097045607245,
      0.466604805036223,
      0.488341708209083,
      0.488023370938995,
      0.465933846980299,
      0.448843328336286,
      0.455119475172051,
      0.485236914388086,
      0.50947333300318,
      0.492605246769728,
      0.45902143374328,
      0.447184765968759,
      0.462713479623291,
      0.482529403874711,
      0.480593064276299,
      0.463463865978163,
      0.452802488118972,
      0.453687990815305,
      0.461689367602669,
      0.467075980501795,
      0.46622926696368,
      0.467914787430251,
      0.477942641535269,
      0.494570338619014,
      0.500674127555175,
      0.486437623394201,
      0.474087342517181,
      0.473546777749457,
      0.479292385234942,
      0.481611282039147,
      0.471334860740423,
      0.459823248985527,
      0.460052089381365,
      0.475189040145831,
      0.501068067211746,
      0.512739488650395,
      0.496616904355609,
      0.478525170837168,
      0.469669387400034,
      0.458623070613719,
      0.448672516150248,
      0.461901848649628,
      0.505567924372124,
      0.568569491224739,
      0.618879532632278,
      0.631226142462842,
      0.630415946784464,
      0.641495365977881,
      0.650834693925927,
      0.623412422609723,
      0.57247130111969,
      0.537620297672832,
      0.529265619208606,
      0.519210786873809,
      0.489550095620767,
      0.462609934971849,
      0.460254823021598,
      0.48175109998957,
      0.503210849621499,
      0.489889321734441,
      0.448535054529037,
      0.418949728690612,
      0.423371687977677,
      0.448732144695212,
      0.462558871725031,
      0.464759737554521,
      0.476339531663517,
      0.497924421162486,
      0.504332237693137,
      0.491728096899472,
      0.48220677647279,
      0.482452600516285,
      0.486633067843231,
      0.484537199304517,
      0.474841225495127,
      0.471538586181597,
      0.479001530443201,
      0.495879580387591,
      0.516705453844413,
      0.518004622954074,
      0.49878406301186,
      0.484615861298041,
      0.493229600282359,
      0.52409071352717,
      0.546261682081908,
      0.54212235335603,
      0.515968847691915,
      0.476662439538944,
      0.449233111053577,
      0.445326778192878,
      0.445423820393102,
      0.433110914883738,
      0.417618120410854,
      0.408393475695043,
      0.402099831493622,
      0.394642372527053,
      0.396055039000389,
      0.0996835261529586,
      0.15481504046329,
      0.239431593587107,
      0.358090493674782,
      0.455197052141235,
      0.488080275338218,
      0.490862579585131,
      0.479097186616724,
      0.470225024710875,
      0.467703879287428,
      0.469445823078665,
      0.482576931663329,
      0.517351915595997,
      0.549904145132845,
      0.544690194172778,
      0.519641502707676,
      0.511769532401676,
      0.527132336515186,
      0.544572177656303,
      0.5470330577014,
      0.535692750129753,
      0.517042583622929,
      0.502867054440375,
      0.509500588707647,
      0.52754990884644,
      0.526676909539256,
      0.514390702592485,
      0.51939371881147,
      0.541989954883719,
      0.559515898621308,
      0.562449404348885,
      0.552758507094948,
      0.535897905311667,
      0.529251999492623,
      0.549570185217461,
      0.592787874131539,
      0.616445028359784,
      0.603989698212089,
      0.582490140548209,
      0.573112816561499,
      0.583797814123461,
      0.597877851278283,
      0.590534963412749,
      0.570673914759493,
      0.564874734101163,
      0.584057203905557,
      0.611815555060212,
      0.616442731798379,
      0.59839972494062,
      0.578144818676095,
      0.571132880782865,
      0.577224839556159,
      0.579938391767971,
      0.567291480274869,
      0.548007442738597,
      0.539009747752065,
      0.534634867380383,
      0.511215585950721,
      0.478960507429596,
      0.475596199189129,
      0.517648474567229,
      0.570701712676245,
      0.572527569269219,
      0.535609178141941,
      0.512826762989534,
      0.52421351396155,
      0.553096341170737,
      0.549906682516745,
      0.504107093849012,
      0.464734485197202,
      0.469450074935097,
      0.524513818844416,
      0.585762627332494,
      0.582566283275602,
      0.53750123809328,
      0.509831680989938,
      0.521151680914686,
      0.549078455646369,
      0.549162990350976,
      0.526557806158655,
      0.505266718469984,
      0.493011991006673,
      0.489913849954351,
      0.492511981115043,
      0.500314227145486,
      0.503470431782755,
      0.491973807028378,
      0.478273395164726,
      0.483287447643766,
      0.512872928314273,
      0.536084790555692,
      0.535159103892153,
      0.528021995677587,
      0.521210135603392,
      0.514397162387051,
      0.51231905963544,
      0.509276572455239,
      0.497788322113893,
      0.488287202540119,
      0.502585093009971,
      0.534089387747347,
      0.538430287483257,
      0.512133709054227,
      0.495518775069755,
      0.508797961036558,
      0.54545510147724,
      0.577254833271821,
      0.576670080192776,
      0.550792200605257,
      0.530134568827638,
      0.535984627433068,
      0.55269166763089,
      0.540545603938495,
      0.505422879738953,
      0.4850689901389,
      0.498322665415638,
      0.534709235494329,
      0.562659621486447,
      0.566011618302818,
      0.555481929964901,
      0.550414815567643,
      0.554264992289132,
      0.543503857468268,
      0.509752830966545,
      0.486157493114134,
      0.501520197846728,
      0.548336359671942,
      0.56750220812934,
      0.52825101968265,
      0.485329514348374,
      0.479405681548191,
      0.514573056401241,
      0.553158200035544,
      0.539294839830267,
      0.491041769725388,
      0.464776250543034,
      0.489362127699403,
      0.551525456501077,
      0.584726016526816,
      0.554688693327315,
      0.513360828781935,
      0.492515842719872,
      0.478288257701073,
      0.461083455043427,
      0.46317781876493,
      0.497247638966997,
      0.554950046096316,
      0.605968305952135,
      0.620186217122556,
      0.613700299775391,
      0.608601888093889,
      0.601778728889664,
      0.577091214065868,
      0.548387353228998,
      0.540736021329448,
      0.552233446915759,
      0.552318369938412,
      0.525872670242025,
      0.494332384322827,
      0.478392129076412,
      0.484836705140021,
      0.501920688221835,
      0.495993170140465,
      0.46803002611936,
      0.457925782376399,
      0.478894524793891,
      0.495640910385322,
      0.476439265953602,
      0.461448034200499,
      0.494861713640849,
      0.555255200126937,
      0.567231138564056,
      0.524216583921472,
      0.488174592635395,
      0.490492411290877,
      0.526538311836732,
      0.549180883585283,
      0.523395773143517,
      0.485736359754899,
      0.479377283446586,
      0.518370808266789,
      0.575312412869493,
      0.584677002461164,
      0.543785656142383,
      0.508168408641529,
      0.502182161525215,
      0.514150232642072,
      0.521366434110393,
      0.514484143462165,
      0.497670955758155,
      0.48279276967734,
      0.485828128025859,
      0.504216090930598,
      0.5070604871229,
      0.486853461270696,
      0.465267313145023,
      0.451669873073551,
      0.442892178533907,
      0.433686167617129,
      0.422116994066838,
      0.113845502120754,
      0.168263921852166,
      0.247711848342377,
      0.359538189668931,
      0.460398883041892,
      0.499407696358811,
      0.481166178727475,
      0.427085480637605,
      0.38579911469282,
      0.381230045759606,
      0.41244825884727,
      0.474054827017665,
      0.557640362344889,
      0.625239229601787,
      0.64516155196335,
      0.64650785993574,
      0.662696076054255,
      0.690810499438211,
      0.713390303285848,
      0.71846393549063,
      0.699192444071296,
      0.66265341666101,
      0.632020077003177,
      0.62609796915178,
      0.637497228448204,
      0.645847112497508,
      0.653256042383896,
      0.671908901005829,
      0.695928956429931,
      0.711302289080038,
      0.709180290465837,
      0.674942896358396,
      0.622465050019139,
      0.591652066987164,
      0.602112405439535,
      0.632785617294777,
      0.639090116490699,
      0.625590086577405,
      0.622916605298543,
      0.63817182877663,
      0.667723161814351,
      0.698771997942122,
      0.711355816497429,
      0.701707922594398,
      0.68723165685613,
      0.677911075324151,
      0.661117424311198,
      0.633331976404638,
      0.613966870065186,
      0.614435338350548,
      0.633236441439868,
      0.657725524248427,
      0.672739396928513,
      0.669813090985191,
      0.649853680644626,
      0.627558041651854,
      0.60949825267169,
      0.586047826276026,
      0.566511518941641,
      0.572950910041307,
      0.601616890795167,
      0.617626315326908,
      0.59508469874528,
      0.568157106358772,
      0.572425395701751,
      0.603759062632785,
      0.632309416974527,
      0.621388498081392,
      0.579139319540696,
      0.554857484250947,
      0.571321680955924,
      0.616579290165414,
      0.647171939568312,
      0.620316938952734,
      0.574897421542574,
      0.56143934274628,
      0.595945012090122,
      0.660052777377549,
      0.698245328430847,
      0.697463257363286,
      0.685456319454594,
      0.670549510277233,
      0.651382172596384,
      0.631204306981483,
      0.621873045291071,
      0.624134761584688,
      0.621389023576674,
      0.615518497499925,
      0.627472530036624,
      0.666478623609137,
      0.700317631564437,
      0.704321187898065,
      0.69147263167826,
      0.670662065058436,
      0.648166816979151,
      0.637259328008935,
      0.636446862181314,
      0.62800793696593,
      0.612590628663134,
      0.610848624269838,
      0.621554079564315,
      0.613033506125981,
      0.58955633207107,
      0.589675444670986,
      0.627213676228241,
      0.680726808002138,
      0.713649910774542,
      0.70836719982586,
      0.680039831431788,
      0.654609216342786,
      0.646299751556096,
      0.641727252861374,
      0.617837626053905,
      0.590086030321008,
      0.590803719977898,
      0.627469548268945,
      0.677441357401457,
      0.706633072018329,
      0.70645709848469,
      0.690799463163623,
      0.670518886428807,
      0.646411897651864,
      0.613167460859714,
      0.581427288375382,
      0.575149385723374,
      0.599393833104065,
      0.625468956474114,
      0.607164310975644,
      0.556062469478865,
      0.534732839356605,
      0.561921296528442,
      0.616771421817676,
      0.651364285263816,
      0.627818144209389,
      0.582692529049679,
      0.566485312944607,
      0.588266943856101,
      0.621868446522624,
      0.622068391298538,
      0.585076244802696,
      0.556256778246914,
      0.546271776380328,
      0.525047276081435,
      0.482079388169988,
      0.455925516613239,
      0.472833437176724,
      0.524149175862781,
      0.564120152137179,
      0.561729063200289,
      0.551708752682869,
      0.560120114502978,
      0.576043964293905,
      0.580240760171225,
      0.591771552546652,
      0.631346111720841,
      0.682670753984596,
      0.707302926098328,
      0.689439934862344,
      0.658130485923583,
      0.640463886282541,
      0.644396176770673,
      0.661223481456992,
      0.665027145300865,
      0.650755361150997,
      0.636060214152144,
      0.626487528932253,
      0.605051263757541,
      0.571806017061892,
      0.564410352969671,
      0.594208225037996,
      0.621921436669873,
      0.60089603909492,
      0.56034719487325,
      0.553207295499346,
      0.5828843109516,
      0.618833443026841,
      0.618628926975926,
      0.580249256391251,
      0.55265803961858,
      0.563920464079973,
      0.606832651980265,
      0.644720514640662,
      0.628869960074872,
      0.577844340079534,
      0.542975993786484,
      0.527795964360401,
      0.503252602961518,
      0.461921383401869,
      0.432429546545554,
      0.433404161297739,
      0.463711798668404,
      0.503402637688683,
      0.529355601881369,
      0.534333501821257,
      0.52788306232164,
      0.514369583072394,
      0.492178398549049,
      0.464368333553779,
      0.43864070918293,
      0.417852811297071,
      0.105751542016233,
      0.162936217205896,
      0.246346519403559,
      0.360367767509389,
      0.454200123683356,
      0.48231923601595,
      0.462604265107478,
      0.414681343975909,
      0.38162989767578,
      0.383329357202845,
      0.417459424361936,
      0.481387312298959,
      0.570470588710332,
      0.652302458126199,
      0.686051195589074,
      0.686620162676458,
      0.688566237226256,
      0.697695069093771,
      0.704613832659379,
      0.694212841253727,
      0.663989881354609,
      0.635676125556581,
      0.631374891252087,
      0.652416362431575,
      0.677299422394814,
      0.687178680585131,
      0.690240790123353,
      0.696717767981707,
      0.704245428581159,
      0.707466612877508,
      0.69751730350584,
      0.662928608027275,
      0.623074004749617,
      0.610144125195744,
      0.628101871978219,
      0.643999212956833,
      0.629623973551894,
      0.613333961045112,
      0.624151743866008,
      0.656913691881411,
      0.691111819360669,
      0.710206794924826,
      0.7094431100649,
      0.696614593721089,
      0.687321238255246,
      0.682115305004819,
      0.660260816788417,
      0.622869911299494,
      0.601407301955045,
      0.612141519631174,
      0.645275989826694,
      0.674588478242151,
      0.684973112396525,
      0.681847839523009,
      0.66455439128076,
      0.633492332855757,
      0.59915027535037,
      0.575876263899045,
      0.578856333419548,
      0.608397579215105,
      0.639889527885246,
      0.638709317011011,
      0.600561231507506,
      0.576012332884319,
      0.587789859653257,
      0.61612324218121,
      0.629219253157459,
      0.609101295860838,
      0.579688956894119,
      0.57998421065514,
      0.613515476816259,
      0.652903987269163,
      0.658583814750393,
      0.61767734088011,
      0.582237062281781,
      0.584628941740067,
      0.626920767102799,
      0.682098969821325,
      0.692230485178121,
      0.66693931815582,
      0.651179320006439,
      0.650229818155666,
      0.648671450224399,
      0.637367862724315,
      0.627493547603883,
      0.629649865912905,
      0.634973338499801,
      0.640570682351718,
      0.652660283284538,
      0.668397280241154,
      0.67406554822332,
      0.671839774982316,
      0.67112552161811,
      0.666559924543399,
      0.655210681395118,
      0.64794756997492,
      0.650163413035745,
      0.651687185855161,
      0.650361762774525,
      0.655403101150979,
      0.661324560830837,
      0.644936296352568,
      0.618772403865435,
      0.615794435366471,
      0.645045634799489,
      0.686205177054342,
      0.701770727425377,
      0.682206862771003,
      0.65804256637053,
      0.654107553618878,
      0.668977838642329,
      0.671806513350071,
      0.639467718224603,
      0.606115749865207,
      0.605321080798362,
      0.638551288602644,
      0.680385698583296,
      0.699260571346342,
      0.693363849254844,
      0.680233849261456,
      0.662633856575573,
      0.634793903368412,
      0.597248601047387,
      0.575955516832748,
      0.59119782200052,
      0.627905389692547,
      0.646679057329182,
      0.613893040433767,
      0.5640073214446,
      0.557116142592116,
      0.593963628254507,
      0.63809570728462,
      0.647067595849293,
      0.613225185788284,
      0.586075662811368,
      0.594963352484973,
      0.625525053213769,
      0.64307007505407,
      0.619320439016847,
      0.577474741058836,
      0.560080627703155,
      0.559521617560168,
      0.532710608834345,
      0.468275435717828,
      0.424533986960165,
      0.439540320146132,
      0.496641639423328,
      0.536835948458374,
      0.529838046843247,
      0.526169029596724,
      0.553667532742597,
      0.586801537250792,
      0.5954292026596,
      0.604215406377052,
      0.639230204958338,
      0.685153268608393,
      0.708676535080338,
      0.700364083483467,
      0.684278272075911,
      0.67822729628932,
      0.685652728364184,
      0.695642820180526,
      0.692031757463366,
      0.678298524772338,
      0.661772911077315,
      0.640372468517534,
      0.607971606458426,
      0.586003229584611,
      0.60229950815693,
      0.638766988772968,
      0.648160581444928,
      0.606439788082789,
      0.566116005738355,
      0.570831630266977,
      0.606788440010159,
      0.633138104291224,
      0.616002265228881,
      0.577290895407193,
      0.569488710940143,
      0.600034774072592,
      0.640866300567391,
      0.654174205985873,
      0.62035378036136,
      0.578782246193736,
      0.563516187763236,
      0.562077755688389,
      0.534390164225079,
      0.475048177658728,
      0.433911915776752,
      0.431412179464083,
      0.451470394011109,
      0.468708627773207,
      0.473549721031744,
      0.482524408342804,
      0.499483353037583,
      0.505873019773919,
      0.490471939156398,
      0.459064576211081,
      0.427032529695567,
      0.408352760454775,
      0.095724269149495,
      0.154072393699204,
      0.240432696018724,
      0.355809501470967,
      0.440552982209668,
      0.459877506465092,
      0.460051218405345,
      0.456497756834401,
      0.459896706324227,
      0.460522887281099,
      0.456922057649621,
      0.470846169038487,
      0.519308580365056,
      0.580454940154116,
      0.597424641771,
      0.567184923913013,
      0.534988315134879,
      0.52506894666445,
      0.530708158433247,
      0.524252770795427,
      0.507278983093378,
      0.504900584840983,
      0.524297749529221,
      0.558234554605595,
      0.586161972289056,
      0.582525712501218,
      0.555974258819506,
      0.535328199206245,
      0.534395072928598,
      0.540619801032191,
      0.531749958055665,
      0.51327725667132,
      0.509063467339674,
      0.529276990109306,
      0.566871962584985,
      0.590705058192912,
      0.5762426359397,
      0.553462458330669,
      0.554607615215346,
      0.578085848236556,
      0.60286293557714,
      0.610228860205975,
      0.599166907069845,
      0.583758808567045,
      0.583574414974046,
      0.597935676647365,
      0.595268869145426,
      0.56465023928225,
      0.539634004852919,
      0.543618289436501,
      0.571096288194688,
      0.596456651217775,
      0.603562438635418,
      0.595599277473348,
      0.573231673941544,
      0.545167325458214,
      0.522540277577003,
      0.507760187563272,
      0.503889246352679,
      0.515220207078568,
      0.536618624238381,
      0.554206777620886,
      0.551441510323541,
      0.543397957391748,
      0.543848545828293,
      0.54768049359527,
      0.546883580212781,
      0.531492399106361,
      0.505269276994464,
      0.492101353697357,
      0.505355339126379,
      0.539284285823444,
      0.567383806634502,
      0.561402803270533,
      0.546622228068339,
      0.5493595795326,
      0.57137767070887,
      0.585886444218396,
      0.553140128889955,
      0.496505113587024,
      0.458022056850802,
      0.449387989002087,
      0.462843719793734,
      0.485104562643233,
      0.507166302718156,
      0.520280364607289,
      0.520328650742463,
      0.518092101786498,
      0.522289139657362,
      0.522595307851247,
      0.503738092822322,
      0.480530584635921,
      0.475158947083593,
      0.487858472526296,
      0.507787391302783,
      0.525221859849996,
      0.532610771223532,
      0.531629320862248,
      0.53661423903488,
      0.558419997660148,
      0.587921997764933,
      0.586677839578605,
      0.554948388637865,
      0.526690127875935,
      0.518626370231475,
      0.532720002994742,
      0.545468800717226,
      0.53161787841085,
      0.511447379879854,
      0.518584779142703,
      0.562321196896637,
      0.607346549709403,
      0.600840420285804,
      0.56243602668111,
      0.529711343616128,
      0.515723147546478,
      0.523500279735858,
      0.538377718800742,
      0.541429662333645,
      0.53402337945456,
      0.528392288142529,
      0.531739068357002,
      0.528335858744643,
      0.515060144349188,
      0.514074219934391,
      0.530241610237342,
      0.548525608388777,
      0.547140769187291,
      0.522842193562805,
      0.50497505376537,
      0.507483965933351,
      0.524157495144182,
      0.535670259148879,
      0.521867760352866,
      0.502760486202916,
      0.502208670442604,
      0.520046302881089,
      0.544109760658595,
      0.550878177818901,
      0.536803849800063,
      0.527739695848261,
      0.524338998971199,
      0.493732940756445,
      0.429360878346387,
      0.391705494303687,
      0.416355204653121,
      0.482137648722228,
      0.53355217051052,
      0.541222715533782,
      0.548998070903022,
      0.576835552663447,
      0.591927344603565,
      0.566411011555808,
      0.535203803259614,
      0.533279887296652,
      0.550134210560699,
      0.551519119179983,
      0.531226414975362,
      0.512826155393977,
      0.509149936256568,
      0.520164315337956,
      0.532415263348126,
      0.526839096040932,
      0.507664791514962,
      0.494384124698583,
      0.496766565250587,
      0.504052262782293,
      0.50399855148634,
      0.508919253702549,
      0.52668398219334,
      0.545359857953678,
      0.540419849403075,
      0.519432860588023,
      0.510401707290291,
      0.518526125205226,
      0.53236016963011,
      0.531236446108654,
      0.508259727072622,
      0.492116134478219,
      0.499926860279843,
      0.526629417798139,
      0.55224003500028,
      0.549555598759831,
      0.534259385481044,
      0.534557527040815,
      0.548439533644852,
      0.547693020001679,
      0.526783061375735,
      0.515248768737104,
      0.519250039428597,
      0.51751299092628,
      0.49839815454547,
      0.471444666936208,
      0.457184185583883,
      0.4617786343327,
      0.470131705990223,
      0.465033810484667,
      0.444651406069614,
      0.4170719499531,
      0.400712320549943,
      0.0855731742771925,
      0.137040568365699,
      0.21731403244033,
      0.331214197185509,
      0.421269326950057,
      0.452059889112869,
      0.477727020883123,
      0.507824789601422,
      0.528922016294817,
      0.517484511442611,
      0.481959868879521,
      0.458721751661665,
      0.468270155636005,
      0.491586120996604,
      0.485906413324321,
      0.451899388225387,
      0.426620312743385,
      0.429268033703862,
      0.449408334600519,
      0.454569822670749,
      0.439972489027244,
      0.431049820979376,
      0.441502136870092,
      0.467364477692388,
      0.486986338081544,
      0.475529435268618,
      0.444992391064244,
      0.42555583775742,
      0.430766891869441,
      0.448820368070684,
      0.454037883406058,
      0.443988585031051,
      0.440935941815488,
      0.458331500133288,
      0.491057503610685,
      0.507665507438041,
      0.487988687002695,
      0.467350517937151,
      0.474274790193487,
      0.502127551813291,
      0.532519669756133,
      0.552094982468575,
      0.553056047938446,
      0.53419520106438,
      0.515703449353777,
      0.510143925126253,
      0.496239516412822,
      0.469151796377368,
      0.457569125778528,
      0.475384716756145,
      0.509797441044782,
      0.535252865791801,
      0.542893292786539,
      0.53480074745572,
      0.512197242306437,
      0.491010231025863,
      0.475564525549359,
      0.452541006242286,
      0.429503906984595,
      0.42981189612764,
      0.4572599207231,
      0.487811197189376,
      0.49055444257733,
      0.482828446342492,
      0.485693354213464,
      0.492308201413185,
      0.489805169610199,
      0.47101538173441,
      0.445239821889958,
      0.431561108355198,
      0.442196723446969,
      0.47810550861467,
      0.511352486077723,
      0.499547622041597,
      0.469406650661739,
      0.463444239702169,
      0.488905258263589,
      0.510723387225694,
      0.47958387118036,
      0.418775444499879,
      0.371833319805998,
      0.354584499367377,
      0.368386401145217,
      0.402378590669594,
      0.435630166245053,
      0.446972923055485,
      0.439102400123795,
      0.434994284767993,
      0.443778220121489,
      0.447726828659537,
      0.424804756652122,
      0.392334898962984,
      0.379456094475287,
      0.393382351674053,
      0.423903283111035,
      0.448740264315688,
      0.448359310562969,
      0.434307691538784,
      0.436807554900914,
      0.466103631585973,
      0.500420028472396,
      0.495765875582624,
      0.463773375524683,
      0.447254687579569,
      0.456035314908051,
      0.478476668935345,
      0.485853476213809,
      0.460698226442495,
      0.43172441522069,
      0.4342549782278,
      0.476136402637424,
      0.517427393485162,
      0.504363796037793,
      0.467198811846463,
      0.450059467119799,
      0.457175526207642,
      0.477254798813603,
      0.488462220888238,
      0.478084783174415,
      0.456695846727282,
      0.445685619954884,
      0.455771850173591,
      0.462826900887202,
      0.449521475932571,
      0.440397993665426,
      0.453559232428688,
      0.478780782072815,
      0.485279666868747,
      0.462715283508242,
      0.44459794061674,
      0.446922737927573,
      0.462809310525243,
      0.472097212790473,
      0.456103123163352,
      0.433549814230469,
      0.429655333866379,
      0.451564448821356,
      0.488490166229908,
      0.501795360870497,
      0.480262123234845,
      0.464140054595712,
      0.464021851064955,
      0.447773162835821,
      0.404951880837705,
      0.391746626394411,
      0.43911324111751,
      0.525096101667549,
      0.595328675527737,
      0.612379696315099,
      0.612141629715809,
      0.617820988952843,
      0.605180803387342,
      0.552451179307858,
      0.497828205201517,
      0.482079774296146,
      0.496390992372015,
      0.498082692737825,
      0.47395064428442,
      0.453019887437174,
      0.453818920814192,
      0.474465856022079,
      0.496537445025255,
      0.491439518826614,
      0.458509609752605,
      0.429043005961816,
      0.42273367879977,
      0.429641810326568,
      0.429569313757582,
      0.431606838216532,
      0.452505107913058,
      0.481316891064092,
      0.482819874317878,
      0.461594121326379,
      0.450534990578518,
      0.458115724360573,
      0.474230656970861,
      0.476538682394086,
      0.457071922692859,
      0.441273638409025,
      0.445962634228705,
      0.471725766520412,
      0.501237350151654,
      0.496584877737998,
      0.468001038349381,
      0.459249934770635,
      0.480740780303611,
      0.510050605563223,
      0.520114488976949,
      0.51815841914546,
      0.519688843563648,
      0.518697812558337,
      0.509706882834608,
      0.492188132206506,
      0.472243037735717,
      0.462768591707519,
      0.455668666176219,
      0.438077803950603,
      0.409761742184212,
      0.377757261495715,
      0.363431876462359,
      0.079733339908174,
      0.127982614740415,
      0.205470898450679,
      0.319095809468315,
      0.41215772268863,
      0.442044696209702,
      0.456499769007253,
      0.471081678028838,
      0.480983913228678,
      0.469273388718606,
      0.440779684642822,
      0.421602220817756,
      0.42852893104662,
      0.446824484923219,
      0.442558851973725,
      0.415678163720033,
      0.395320027989594,
      0.400460647065558,
      0.426796507340728,
      0.445559774195464,
      0.438806753839589,
      0.420438669040594,
      0.4101547853199,
      0.416876548701832,
      0.430364019279584,
      0.426737783628345,
      0.405424211395396,
      0.389727250651124,
      0.396676747270478,
      0.42229400314289,
      0.442047828607837,
      0.442423751068151,
      0.440847152728291,
      0.451708864638553,
      0.466192330634545,
      0.458143205592791,
      0.426501865540353,
      0.410104126673239,
      0.421808227005652,
      0.445494550070817,
      0.46849082308963,
      0.490273414677702,
      0.50737884532966,
      0.509585683520188,
      0.499760453693924,
      0.482901154351921,
      0.448754169024957,
      0.41118640849353,
      0.401473390856341,
      0.420847996366338,
      0.446754250431034,
      0.459475934114581,
      0.466768497235366,
      0.477225777496494,
      0.477860061905161,
      0.464913812378199,
      0.450389997076215,
      0.439613032874361,
      0.438013969970851,
      0.45057625691471,
      0.468668685883423,
      0.473393032506068,
      0.456666367856019,
      0.449189152372122,
      0.464518775029239,
      0.481589528826804,
      0.4750409885235,
      0.445209646147832,
      0.423677979674014,
      0.428202319866213,
      0.450823339633037,
      0.479863784689663,
      0.494021431642304,
      0.47464755344002,
      0.454170565442475,
      0.459057423676222,
      0.485108085775125,
      0.495720740440964,
      0.453940792317729,
      0.396136607237256,
      0.358498892368338,
      0.344305189853638,
      0.35132048208268,
      0.372870030259047,
      0.395739704723129,
      0.405809701084717,
      0.407641075132638,
      0.41835695295686,
      0.434484009335812,
      0.431237887137752,
      0.400525838005641,
      0.3707829932594,
      0.361881579140648,
      0.371969452869216,
      0.392308492693403,
      0.409984075404069,
      0.413512064117747,
      0.409142182017641,
      0.414312132331031,
      0.433038630640713,
      0.448057656645534,
      0.434779358172113,
      0.41433419412782,
      0.421362505783957,
      0.454581176219575,
      0.485661077137267,
      0.482528960271406,
      0.448118389877294,
      0.418820693849253,
      0.419024308785543,
      0.447680395282178,
      0.469653702592926,
      0.449334619589483,
      0.422381478574419,
      0.428758315930827,
      0.46406920656646,
      0.496219979184274,
      0.493299526571459,
      0.462359571006973,
      0.431453401039309,
      0.416549569603876,
      0.419865338589227,
      0.427228888402074,
      0.432548708302294,
      0.444612185029703,
      0.462982841432968,
      0.472485664795932,
      0.453757550098166,
      0.423774534540328,
      0.420301357879153,
      0.441593278663855,
      0.461773810344793,
      0.456536905469757,
      0.432085917738287,
      0.423029329220227,
      0.437347456521393,
      0.46442032221747,
      0.48804667340146,
      0.481653249453273,
      0.452942664952972,
      0.441496476024458,
      0.450183065340173,
      0.449200078642495,
      0.428936984620178,
      0.437161163459003,
      0.498479105632686,
      0.588570236377116,
      0.645123454496312,
      0.635405430268616,
      0.616815899240473,
      0.622574860387769,
      0.620717338861716,
      0.572099265345578,
      0.512412867505581,
      0.494447042357397,
      0.511900769125318,
      0.515466157639091,
      0.487957477158964,
      0.463750270559718,
      0.466016484788771,
      0.488642551570009,
      0.507066664222718,
      0.495487759068898,
      0.458285391129593,
      0.423100635483002,
      0.408079296018782,
      0.413760051428468,
      0.428489238080177,
      0.445637978869026,
      0.465078890546591,
      0.472745553413546,
      0.452461148281768,
      0.433316488286109,
      0.441208401592678,
      0.462995066246507,
      0.470417481184456,
      0.448002622135928,
      0.422834987389049,
      0.425986641978982,
      0.449890192432384,
      0.476690803988583,
      0.489249908069049,
      0.471347311679257,
      0.446012768466644,
      0.444023396322552,
      0.465458496413054,
      0.489851146579057,
      0.484543937170937,
      0.457502427496328,
      0.436040526598022,
      0.431091699058404,
      0.443392788925415,
      0.451632990477533,
      0.438730978816839,
      0.422151784936923,
      0.41218039333615,
      0.402665197286784,
      0.386130947840567,
      0.362658645279653,
      0.349104875172147,
      0.0734593261741642,
      0.1202899162087,
      0.195760923060851,
      0.30619868060833,
      0.396915600926197,
      0.420300963442033,
      0.411048845136156,
      0.390344001023165,
      0.377127058929662,
      0.374766158634267,
      0.380800957527653,
      0.397803474665962,
      0.429281131479631,
      0.453485770865885,
      0.440233168370791,
      0.406406647435562,
      0.389587685125515,
      0.404759297625828,
      0.437624780777338,
      0.45692970992709,
      0.449103768733234,
      0.430284832837437,
      0.419830256963867,
      0.426537745655035,
      0.435828055956086,
      0.422342335677214,
      0.395607376338674,
      0.385639291639103,
      0.403817950782047,
      0.434977046416273,
      0.453188204337722,
      0.451318075741551,
      0.450679716556241,
      0.464663611314762,
      0.482633866262261,
      0.481868996219972,
      0.458741854149244,
      0.445623366360889,
      0.454870934014976,
      0.469640058575075,
      0.475408434715143,
      0.47504463186353,
      0.479113867473468,
      0.489050270516776,
      0.496185443606519,
      0.493182143809205,
      0.47249298264418,
      0.443881373497,
      0.434472312076205,
      0.448252522763587,
      0.465112372682988,
      0.464355421308471,
      0.455540186721439,
      0.460988214172825,
      0.46898691895873,
      0.455964960166262,
      0.434759563509803,
      0.435371267373821,
      0.462658544097596,
      0.493363240129711,
      0.500788549876337,
      0.478080929813476,
      0.4533881955454,
      0.462165620413731,
      0.492307596097921,
      0.50706790466744,
      0.483725011320995,
      0.445747128507439,
      0.441590844461245,
      0.472079770015492,
      0.504418842091178,
      0.514651285509419,
      0.498402908507749,
      0.478789486666759,
      0.483749549938568,
      0.505192142471436,
      0.526479301220816,
      0.523555724708719,
      0.477340843457636,
      0.41999810961075,
      0.380301963538569,
      0.365972296552957,
      0.375759526709371,
      0.397532109919797,
      0.417454533942672,
      0.425699731460918,
      0.425494318697229,
      0.434006136136189,
      0.452835547292194,
      0.458025961789804,
      0.43201630778072,
      0.398990742128518,
      0.387189919456068,
      0.396847286249229,
      0.414573927789637,
      0.428159217813049,
      0.430114615936326,
      0.425976843771337,
      0.43188406659356,
      0.453044889908339,
      0.469785181923493,
      0.454443007435592,
      0.432670553075337,
      0.441382060603068,
      0.474540389804294,
      0.499502311701759,
      0.488499611086062,
      0.455754739017915,
      0.433886809733098,
      0.436781995640221,
      0.4600600310887,
      0.474212819200427,
      0.455555628661828,
      0.436335253835901,
      0.447466421629842,
      0.483303762887713,
      0.508098563685113,
      0.491324074143405,
      0.452646395739929,
      0.426301590767931,
      0.417869959854311,
      0.417034519118536,
      0.420446759927825,
      0.441299125953812,
      0.474449421862842,
      0.495380134849094,
      0.48541030662729,
      0.452575264274208,
      0.441877432256252,
      0.467176872179408,
      0.496982974631308,
      0.497350175398047,
      0.463871622047334,
      0.437313833277048,
      0.45086856879033,
      0.484336387823311,
      0.507858872329916,
      0.503622687786292,
      0.475133941262513,
      0.457531688327565,
      0.467242886216751,
      0.488024441406599,
      0.493597667786369,
      0.479370946659274,
      0.482998534029753,
      0.523480118620619,
      0.584849484057636,
      0.619973919399404,
      0.602147812619869,
      0.580761962741636,
      0.586366533181906,
      0.591454466296516,
      0.556585273646034,
      0.509282764257547,
      0.498131467765141,
      0.517892978358877,
      0.522515967665797,
      0.494053897292115,
      0.465453073798373,
      0.462668539380926,
      0.482926364169469,
      0.50128153689964,
      0.488013323027254,
      0.447124598762011,
      0.409075829458022,
      0.395856465462748,
      0.417609247817356,
      0.460393844504679,
      0.493941113970562,
      0.502937380905464,
      0.480877272349209,
      0.445886720774277,
      0.442819840127051,
      0.471166543973615,
      0.495893342877432,
      0.484321413160973,
      0.445032893211279,
      0.433329410895207,
      0.465038239836089,
      0.504552915406909,
      0.520070605855316,
      0.503978447192458,
      0.479068800023572,
      0.479094320659221,
      0.497950729487001,
      0.515024705233968,
      0.5100426662681,
      0.476772551994404,
      0.441394946746259,
      0.418360047345102,
      0.410228398941832,
      0.420196345139572,
      0.431487360812998,
      0.421638492285601,
      0.400546682057829,
      0.39354419511259,
      0.402096739079188,
      0.40945992970553,
      0.402604863242026,
      0.384979101065026,
      0.0759001075920429,
      0.132384931231787,
      0.222172474798016,
      0.346006024903829,
      0.436481052924235,
      0.448544449158951,
      0.427951876833508,
      0.394116939818893,
      0.371143961844411,
      0.368775986373208,
      0.38347465810582,
      0.415492508434101,
      0.465637019092485,
      0.504402260875938,
      0.495653686540894,
      0.461945783137571,
      0.44966432834064,
      0.471419369098829,
      0.502843524982737,
      0.510306221167439,
      0.490251743832073,
      0.468389127742396,
      0.464688352080458,
      0.483086797510475,
      0.499663995373918,
      0.483342744948618,
      0.453188281944761,
      0.448841520836777,
      0.477448280095269,
      0.510775226990422,
      0.517699085901642,
      0.497926813731591,
      0.486173815776961,
      0.504096441679458,
      0.547190172992293,
      0.590907116577158,
      0.598504490994257,
      0.580150636845957,
      0.567108595927258,
      0.562379838993091,
      0.555449995725268,
      0.5363583866922,
      0.512298321965904,
      0.505970099891387,
      0.524069556709866,
      0.559218206785077,
      0.589900409310371,
      0.589203586187057,
      0.572543748759221,
      0.563592446120614,
      0.560748085034719,
      0.546426080440595,
      0.518239414187055,
      0.496124927766234,
      0.485918049177371,
      0.477073459292744,
      0.470305467873925,
      0.471652427404575,
      0.481436744149714,
      0.498141275842343,
      0.512917257686655,
      0.51220139085844,
      0.496400788992786,
      0.490537452055986,
      0.499664317519118,
      0.506480217135986,
      0.496835955340796,
      0.472725528402764,
      0.455419500524913,
      0.460144470417722,
      0.481776803430058,
      0.50876237095039,
      0.523479097225578,
      0.514028580459691,
      0.503385105143656,
      0.505674923417519,
      0.521133600360474,
      0.531581763736516,
      0.50709264602457,
      0.463785228201473,
      0.431330351495185,
      0.42586825511194,
      0.450592582085537,
      0.489706172350392,
      0.520074098524236,
      0.520802870015576,
      0.494854782907857,
      0.4720246932799,
      0.471220084275992,
      0.483394257932311,
      0.478291624298394,
      0.458613777510989,
      0.457617123113472,
      0.481880010486679,
      0.51275149581065,
      0.530575630738411,
      0.523760062911468,
      0.505973567674876,
      0.501943556312463,
      0.519304446604524,
      0.535831636999828,
      0.521413205405239,
      0.500023268027616,
      0.501983025409553,
      0.518245941650826,
      0.528012435851163,
      0.518366447024426,
      0.499843072554669,
      0.489370155740562,
      0.495952622142615,
      0.5173972760417,
      0.52803808177626,
      0.510832131542964,
      0.493707311428642,
      0.496206583196801,
      0.510727043775786,
      0.517044081386957,
      0.506121165263879,
      0.492958365233865,
      0.487088913265068,
      0.484739254974544,
      0.481975792872419,
      0.479026451816137,
      0.485240087322014,
      0.500630525079697,
      0.515022812027047,
      0.516831867136178,
      0.493468088353357,
      0.46533727443559,
      0.462547910624949,
      0.478416553363912,
      0.491434765179469,
      0.486219057925058,
      0.467702931129333,
      0.461013447934121,
      0.472745573570534,
      0.49524937553623,
      0.514010567305107,
      0.511585968894718,
      0.497765798530366,
      0.494429776932369,
      0.502149433320339,
      0.515247055814215,
      0.537077224341994,
      0.566116804075773,
      0.596723042001657,
      0.618412141378242,
      0.613358315382236,
      0.588805497845527,
      0.573573252930403,
      0.573403075057799,
      0.568171327015561,
      0.538105753466852,
      0.505622955336939,
      0.498606303342318,
      0.511623962098153,
      0.517228409970917,
      0.50221075320346,
      0.483640562387625,
      0.47705435243761,
      0.485599401817338,
      0.495332766823757,
      0.478154883860787,
      0.438101188070752,
      0.411329138963468,
      0.417122960589245,
      0.444108784260285,
      0.465033012653039,
      0.476840107823316,
      0.490958749041922,
      0.499206396511431,
      0.487269281820798,
      0.476667183334611,
      0.484376462275534,
      0.497831965453328,
      0.496838116401858,
      0.474965206580059,
      0.455134121258143,
      0.459569697400768,
      0.4823351353193,
      0.508893831484978,
      0.5222523111197,
      0.511208753021784,
      0.497639443964632,
      0.49778282800206,
      0.50874273015272,
      0.51019436956901,
      0.488976914330709,
      0.467540829309314,
      0.458471053501917,
      0.452590189698101,
      0.449716827760601,
      0.456456518372984,
      0.461466943815944,
      0.453170962229248,
      0.444715657120916,
      0.447554831725584,
      0.455217211658928,
      0.45113747498165,
      0.424693915595129,
      0.120258789015694,
      0.210868174989177,
      0.346688185638375,
      0.515363403408692,
      0.616642443916519,
      0.62741674580703,
      0.630558315184602,
      0.619607893085232,
      0.600821303680413,
      0.581110108874996,
      0.560916077673275,
      0.556436066748618,
      0.581321486744808,
      0.610500470542404,
      0.608357408929087,
      0.58870577478676,
      0.591370164902253,
      0.618976625556148,
      0.641102602464184,
      0.634362816544562,
      0.607293820219096,
      0.584329163195194,
      0.579749681543449,
      0.596457849021617,
      0.614567396850211,
      0.608442953793324,
      0.595269984375639,
      0.605476841409807,
      0.631466821458599,
      0.641737192970263,
      0.625835364950066,
      0.598911487964054,
      0.585138538776126,
      0.597231116705388,
      0.636144614259921,
      0.680816556897451,
      0.688884463746761,
      0.669685949903717,
      0.65810333206194,
      0.656697117783131,
      0.655288273991325,
      0.64900099990926,
      0.641900541347175,
      0.642252927573154,
      0.653584234726845,
      0.675810445716819,
      0.688741637755891,
      0.672014239817337,
      0.648150447922147,
      0.639923763651076,
      0.643805527422687,
      0.641563622575035,
      0.629697046417354,
      0.617717962813832,
      0.60577747790754,
      0.599041462691563,
      0.605293288648226,
      0.604781070234022,
      0.584931832504289,
      0.568180607641935,
      0.57279907454403,
      0.59229560668075,
      0.596501101667088,
      0.579903593894564,
      0.564147188169534,
      0.563599652080123,
      0.583429123047766,
      0.601282147026307,
      0.58962036093587,
      0.568165806660111,
      0.562124983588244,
      0.582581161069114,
      0.616775280942407,
      0.615782644041316,
      0.580400429847573,
      0.550543273632218,
      0.557153091429912,
      0.597503968050998,
      0.615187112268326,
      0.593464145745756,
      0.569595532066987,
      0.567715842135835,
      0.594154326889926,
      0.639200621485739,
      0.680869672225552,
      0.682577328231324,
      0.636493576692957,
      0.586085228791988,
      0.569756584620885,
      0.589067724574914,
      0.602908379276925,
      0.597381615279352,
      0.601898992167954,
      0.625549725709675,
      0.657847472583623,
      0.682554841983177,
      0.674256676039787,
      0.638925153663259,
      0.61368079003981,
      0.617706087853428,
      0.628097589386859,
      0.612302601509895,
      0.594277787237991,
      0.599167367854859,
      0.612987952138297,
      0.621870851281233,
      0.632383197072365,
      0.644508347330648,
      0.643766670616832,
      0.635844741484588,
      0.634999549879728,
      0.630070281487569,
      0.605877866822641,
      0.58540574237047,
      0.587953452345645,
      0.602474919988785,
      0.614017350454561,
      0.626771934558413,
      0.645496893790008,
      0.651027243518444,
      0.632889811905764,
      0.611315184139498,
      0.60097885327693,
      0.592318800598547,
      0.580707065852785,
      0.578908265891697,
      0.593033132049629,
      0.602957760128222,
      0.586585901866201,
      0.566037702184871,
      0.560295462606663,
      0.574552454866541,
      0.600916595434539,
      0.605448355893109,
      0.58415968106039,
      0.564709293470736,
      0.565738805127776,
      0.588699002577695,
      0.606795264629371,
      0.591196806970267,
      0.562591213875783,
      0.538949280363376,
      0.522349727498246,
      0.525016771076774,
      0.544911549830142,
      0.573392511497991,
      0.599078088555759,
      0.60440776706734,
      0.599764473946302,
      0.602760269545415,
      0.610625014646708,
      0.611163424187303,
      0.598456221942271,
      0.592927312064497,
      0.606625374862201,
      0.628831372008203,
      0.639562051689709,
      0.632030420427549,
      0.619625271044479,
      0.610418969260339,
      0.608482873861524,
      0.613409811873222,
      0.606547240249432,
      0.584012106744518,
      0.571658218112162,
      0.585359297608757,
      0.597787336215635,
      0.576244768541864,
      0.548886838827076,
      0.551666196434881,
      0.579586228598611,
      0.595348439901797,
      0.584266040447442,
      0.571217028051177,
      0.568970815896926,
      0.578493130379055,
      0.588823520472164,
      0.580493351460456,
      0.565176495004538,
      0.561737964237609,
      0.579322483327604,
      0.612510283054561,
      0.621424238890233,
      0.590226461821408,
      0.552898031264237,
      0.531213104842473,
      0.525681471451209,
      0.516172057498206,
      0.499145464535908,
      0.494866199406004,
      0.508455976728618,
      0.52607958870774,
      0.52961794774171,
      0.517128213975132,
      0.503765305211501,
      0.490170894737271,
      0.47028291216598,
      0.443347577830315,
      0.412718682212055,
      0.380787024509266,
      0.227145817572172,
      0.348150385848618,
      0.508801442611285,
      0.689202197637136,
      0.779575779695773,
      0.775387601769534,
      0.769659574908412,
      0.764448035408617,
      0.76013557145687,
      0.741241286672564,
      0.705205627455295,
      0.679841078034697,
      0.682146469705658,
      0.691317486466683,
      0.690443282669335,
      0.695890605389581,
      0.722068724075445,
      0.752723612467973,
      0.759626865918968,
      0.734135374569466,
      0.69944947563261,
      0.684041258639786,
      0.692119685668021,
      0.707148278080108,
      0.70591098106328,
      0.694154839673019,
      0.699774540598407,
      0.726045152805998,
      0.750617588116239,
      0.750776370131302,
      0.726616710956232,
      0.688380393358536,
      0.654527972701461,
      0.642877310569498,
      0.653674091147936,
      0.664370856037286,
      0.656876743522778,
      0.656678108986887,
      0.683686091957358,
      0.721243274793183,
      0.747206320115896,
      0.761158316550172,
      0.769797056452772,
      0.767459430639141,
      0.752058341426482,
      0.726147310636597,
      0.686346204495176,
      0.650706047403374,
      0.647592338165247,
      0.678136718207716,
      0.719849163493162,
      0.744870325882974,
      0.752786721780151,
      0.753858702980669,
      0.743880636334113,
      0.72927143483258,
      0.717605033192453,
      0.694009077354738,
      0.6631104927331,
      0.657231638222179,
      0.691282030444241,
      0.736788289044032,
      0.730991054538602,
      0.683256014173396,
      0.649326146962318,
      0.6588191938918,
      0.705126717734506,
      0.732077675046539,
      0.70581985278164,
      0.669198886927173,
      0.662399606533383,
      0.692997614712359,
      0.727875726849929,
      0.706603539365371,
      0.65008493728475,
      0.616980632282101,
      0.641213584011853,
      0.703166603774026,
      0.721662028968871,
      0.69873241749075,
      0.694945344962085,
      0.720130199696476,
      0.747395604158012,
      0.757482483279513,
      0.758803290936748,
      0.75229199008214,
      0.731309794364862,
      0.712332726372959,
      0.70911915947846,
      0.709227499467054,
      0.700121410689215,
      0.704716120394926,
      0.733285863923649,
      0.75868401192536,
      0.764177537547898,
      0.762200937609587,
      0.754190078630745,
      0.732284942348017,
      0.710643722287422,
      0.704905539515211,
      0.697993747711744,
      0.668465837715387,
      0.649399597979272,
      0.667331839148268,
      0.705295116303641,
      0.735495537150355,
      0.749584488301449,
      0.75398925690688,
      0.751904843337099,
      0.748345315847179,
      0.743341124015645,
      0.716793775697584,
      0.669906373873401,
      0.648179744926854,
      0.668180008039306,
      0.705817056418142,
      0.733675108716615,
      0.751714671911748,
      0.771031790525734,
      0.77866138856812,
      0.764460842055996,
      0.74316191755132,
      0.716446746950119,
      0.680631873640256,
      0.657743063726032,
      0.67282699044911,
      0.719640614404242,
      0.745529715923592,
      0.718222873971249,
      0.685148642967498,
      0.681007268187397,
      0.707908868840025,
      0.738443293599279,
      0.725340588484223,
      0.68196635036243,
      0.654454652728436,
      0.664135235017397,
      0.701866768180857,
      0.715662575002158,
      0.67471381943968,
      0.626977897090543,
      0.603109218836475,
      0.582894173586313,
      0.542681525788046,
      0.503975424214513,
      0.503027272301219,
      0.540085170609034,
      0.578972386131018,
      0.593132979464163,
      0.602280922641086,
      0.622889355335904,
      0.646129619929002,
      0.662954789733001,
      0.692530707434148,
      0.739750519277182,
      0.784008118606622,
      0.804103612845455,
      0.805333617796126,
      0.808111956361714,
      0.812429675570617,
      0.812438623299717,
      0.806816179976663,
      0.795376160021492,
      0.784638431248713,
      0.780948550517664,
      0.776805420493979,
      0.740253865180553,
      0.676304636843357,
      0.64609805921597,
      0.671726489229127,
      0.720947948652759,
      0.731960358439828,
      0.699638883942869,
      0.674443026520616,
      0.68090187271537,
      0.715730020667092,
      0.740087737604973,
      0.716704965408523,
      0.67859070290944,
      0.665323326659588,
      0.687923315981795,
      0.724808552258779,
      0.718970733110093,
      0.667918682066329,
      0.620569852120735,
      0.588482977022825,
      0.546918736705892,
      0.489734580626647,
      0.443504803273846,
      0.423640032358371,
      0.435273220990621,
      0.466838692341434,
      0.489467968137067,
      0.496079019912593,
      0.497775833089678,
      0.485521780955194,
      0.446768310884087,
      0.389980598170827,
      0.34127839616127,
      0.326161958926945,
      0.236388443356415,
      0.330825526702103,
      0.45017395126439,
      0.590352619257704,
      0.67052278669513,
      0.658884055901251,
      0.618284188063066,
      0.593845398853824,
      0.594725543408246,
      0.586956756169118,
      0.567249110411599,
      0.565642319771322,
      0.594937690229822,
      0.625380740162656,
      0.622445843632159,
      0.606605685404298,
      0.606933540374242,
      0.624227543022616,
      0.64188964638025,
      0.63494489912133,
      0.606790379728964,
      0.591176714014375,
      0.603974865094515,
      0.630048013782548,
      0.638778233805423,
      0.623132336399857,
      0.610315898103039,
      0.614214593785584,
      0.630474064896365,
      0.644274847376329,
      0.635618184893343,
      0.599176724496076,
      0.562767035759701,
      0.556743415702366,
      0.579994776347252,
      0.59949493670856,
      0.592825153675872,
      0.591899642031569,
      0.621026385677492,
      0.665134353758295,
      0.694605861945886,
      0.696329658601727,
      0.680299428558621,
      0.663827522386766,
      0.656517456764873,
      0.646022748117684,
      0.61240374323554,
      0.576585660210529,
      0.575396050384929,
      0.612128378153386,
      0.664709692632487,
      0.70017672293934,
      0.704864886046125,
      0.685772623394191,
      0.653973027220863,
      0.627772725483553,
      0.613545390349197,
      0.601763184874678,
      0.59533686434845,
      0.603969477091078,
      0.621607284762412,
      0.625948925279094,
      0.599099145095489,
      0.571102339984545,
      0.566231402690692,
      0.582331067430769,
      0.606408886431328,
      0.609992524127966,
      0.588274462486902,
      0.574109146162106,
      0.588870671277926,
      0.626571507058775,
      0.648329842971889,
      0.61735193631551,
      0.575072947263798,
      0.563949686071857,
      0.590428545799381,
      0.617410287951597,
      0.590638291132784,
      0.548455198787061,
      0.54398271451488,
      0.57370842659675,
      0.606233244756848,
      0.61953819584274,
      0.621194348418037,
      0.624768137065676,
      0.63326294580156,
      0.643629581864156,
      0.641947927699607,
      0.611011901923333,
      0.572389795448946,
      0.570518323811837,
      0.601648893246364,
      0.62895946752458,
      0.633207437934571,
      0.625220724122936,
      0.620132002509173,
      0.620096654675215,
      0.624382603312623,
      0.634035042128866,
      0.638084549645095,
      0.615452574801619,
      0.586497977732101,
      0.580677220968143,
      0.597674466505792,
      0.621667746012095,
      0.630837057298293,
      0.621456156349101,
      0.615667868174986,
      0.62941368106931,
      0.658244142517187,
      0.663384101410672,
      0.619464566392995,
      0.577440357683062,
      0.572319737625828,
      0.596573479874086,
      0.628991003091246,
      0.649863129921952,
      0.656575822669062,
      0.656607417712793,
      0.657085469390786,
      0.660047245877535,
      0.645537997407501,
      0.615325991784497,
      0.602775489928259,
      0.616378183733197,
      0.632260940221764,
      0.615842817218379,
      0.575443658369378,
      0.556880097427512,
      0.572179118464593,
      0.607886707812338,
      0.634677878568365,
      0.624003349128181,
      0.599243329227974,
      0.592655631224347,
      0.609156850972816,
      0.631808970501636,
      0.623513957514886,
      0.584453804609004,
      0.556424084875402,
      0.547731181401593,
      0.53016149929033,
      0.490936261836634,
      0.467479231338484,
      0.489126934046314,
      0.544286478125226,
      0.587665661982553,
      0.591183756096738,
      0.588538909764238,
      0.60222309331528,
      0.614529809467467,
      0.611398788823706,
      0.618337356768163,
      0.646726784249731,
      0.674369197832739,
      0.675009693830945,
      0.659332285958625,
      0.655102936194856,
      0.663785140731591,
      0.673747856400217,
      0.668677619422258,
      0.643942395980005,
      0.620941716252037,
      0.615891875346068,
      0.624021638458445,
      0.621118045338428,
      0.602494648983423,
      0.599803690221574,
      0.619255185036787,
      0.633017756297602,
      0.611429678268563,
      0.579382840362371,
      0.570801860238344,
      0.584984756367409,
      0.606687651324952,
      0.610808604130742,
      0.589628716146258,
      0.574603547140675,
      0.585255829961231,
      0.617597633528264,
      0.64435463875363,
      0.624916028548304,
      0.581942646487075,
      0.561850930954773,
      0.563944157624386,
      0.542629649763208,
      0.485420964508582,
      0.442386176392352,
      0.427047597508502,
      0.422785214985166,
      0.418093703440797,
      0.415018100316569,
      0.42543143695883,
      0.439850709313077,
      0.4329752623815,
      0.397011706117838,
      0.346462842418814,
      0.305892766966301,
      0.302382880697974,
      0.116192751162219,
      0.176251270567553,
      0.2664218618267,
      0.394533357497555,
      0.490861855474891,
      0.491430983045399,
      0.442534900753209,
      0.394033911854645,
      0.369984986127353,
      0.360400796128955,
      0.366015855235416,
      0.398287482673154,
      0.459857992615136,
      0.519914479417787,
      0.526806229340468,
      0.491085763001853,
      0.461967002189194,
      0.464902027616927,
      0.49393265302877,
      0.507162520542221,
      0.484658719644545,
      0.46024911535499,
      0.466058253457083,
      0.501916607234324,
      0.53249379874861,
      0.519458611683651,
      0.482759388215348,
      0.461164370415301,
      0.471136679519997,
      0.501298750370533,
      0.511210797570806,
      0.48048987100281,
      0.446152754737521,
      0.451792642586885,
      0.498971700045163,
      0.537841336555849,
      0.528503326470351,
      0.514023759969943,
      0.530679982415123,
      0.564626234008436,
      0.58533869148302,
      0.577583366114136,
      0.54658689950725,
      0.516419385594827,
      0.517119261921366,
      0.541813806300422,
      0.544374862095888,
      0.515707630077203,
      0.501442533425699,
      0.524282967828128,
      0.567191698164129,
      0.592724388683734,
      0.584231063815232,
      0.553223345146217,
      0.51771328145531,
      0.495655303268192,
      0.485507793030644,
      0.472139641359982,
      0.460597732727996,
      0.46378510823686,
      0.479488078177069,
      0.492816830780446,
      0.486766521540903,
      0.476490142570562,
      0.475371829649147,
      0.474808085782332,
      0.469119013135566,
      0.458386715276092,
      0.446235564113638,
      0.443904329484226,
      0.458494134612849,
      0.489027993289449,
      0.515912193315775,
      0.505290926265771,
      0.478242090780876,
      0.468179490661039,
      0.483271156771273,
      0.500296365382464,
      0.48089477760209,
      0.442391897289837,
      0.418123222986011,
      0.414128976272194,
      0.427895853711903,
      0.452417982126818,
      0.478764255352345,
      0.496663299313943,
      0.50136075043838,
      0.497349440568153,
      0.488008769759769,
      0.473603659093864,
      0.456624930638437,
      0.445297504102116,
      0.445284831608155,
      0.456297062319925,
      0.474815046872949,
      0.495085375145741,
      0.507510373354173,
      0.506377332456777,
      0.502787749137752,
      0.517088356833728,
      0.55281871487432,
      0.561710710435942,
      0.526157496236095,
      0.491384182727446,
      0.488073543460744,
      0.511144635385495,
      0.521932849335048,
      0.496024098277502,
      0.466182802655565,
      0.470818756128975,
      0.522020718520702,
      0.579185305904523,
      0.570018430835059,
      0.51732105143972,
      0.481831991831527,
      0.482745438601142,
      0.50833627985076,
      0.524478036697617,
      0.513710967144267,
      0.493570312711161,
      0.485597487359444,
      0.495609837563682,
      0.497307991597737,
      0.479795166972667,
      0.471799681831807,
      0.483345413010343,
      0.496668178751579,
      0.487791079505848,
      0.457032989620852,
      0.437835843419653,
      0.439474528706653,
      0.451663843025761,
      0.461526491752912,
      0.458086864161048,
      0.452902640044287,
      0.459153304611944,
      0.477348514145003,
      0.500535749356306,
      0.505444195638145,
      0.484672633634843,
      0.466905356315071,
      0.458401958505638,
      0.444179425665251,
      0.429552097286679,
      0.442365748333746,
      0.493477934248414,
      0.56409942894853,
      0.60535608847047,
      0.593440245997422,
      0.570516664556389,
      0.564514144675758,
      0.560126761687319,
      0.534265115849302,
      0.506736981364459,
      0.502717545181828,
      0.515538332821016,
      0.513273651374779,
      0.48886738322706,
      0.470173134828656,
      0.472724384448534,
      0.48973982183856,
      0.499235775583431,
      0.478340127009668,
      0.437440116165611,
      0.407805792926478,
      0.409319109466909,
      0.432154194624662,
      0.448433968443798,
      0.457810850842457,
      0.47435892344362,
      0.490748436518978,
      0.480200489780258,
      0.45423023541029,
      0.444372669535434,
      0.451587142417834,
      0.461792836640413,
      0.46013499907783,
      0.446658649626802,
      0.44262965628596,
      0.45497318256947,
      0.478235478075225,
      0.500705434931185,
      0.496185544583033,
      0.47140032288438,
      0.45998692873575,
      0.475623192627049,
      0.503886950352493,
      0.518295197478058,
      0.520694010086788,
      0.518978904372799,
      0.501589411498691,
      0.470711813730593,
      0.449023055861888,
      0.442412976714231,
      0.43166917819423,
      0.408007878778028,
      0.380442270489201,
      0.359284179028144,
      0.346139190910066,
      0.342985874285087,
      0.0596249605602312,
      0.106381743116302,
      0.180699236927724,
      0.286760530221031,
      0.375127208530525,
      0.408192903383645,
      0.412667775084486,
      0.394175743977633,
      0.372552660429497,
      0.359743796188672,
      0.360240867989849,
      0.379226701670051,
      0.42013560111874,
      0.465095698750309,
      0.472520691541189,
      0.440485136273823,
      0.406710471003369,
      0.398578244284126,
      0.422533151154483,
      0.445815081524118,
      0.43583624004356,
      0.409822857961171,
      0.400895592129948,
      0.422021685395001,
      0.452558303830273,
      0.453098213952212,
      0.425022577592914,
      0.398402125169494,
      0.396100388330201,
      0.423005130299229,
      0.446903344012283,
      0.435673642213932,
      0.412073651231035,
      0.416953616699811,
      0.454767102426025,
      0.478408682069854,
      0.457170049594664,
      0.437198480654033,
      0.447483722112387,
      0.471398185555933,
      0.489223170474654,
      0.498704442220375,
      0.493667456057761,
      0.473561961816491,
      0.466443858560643,
      0.479374477099699,
      0.473960132860579,
      0.44376797867366,
      0.43079219894972,
      0.449844238515823,
      0.47832627862848,
      0.490326365649693,
      0.490014198032795,
      0.485832425676728,
      0.47459579720064,
      0.461070837768679,
      0.445947064869474,
      0.423340996048679,
      0.405414432995178,
      0.406598079286887,
      0.420197367864507,
      0.430451736924292,
      0.429374893118107,
      0.430975483409015,
      0.440091157156911,
      0.441956913471088,
      0.429559852919052,
      0.411019384189755,
      0.399335242164425,
      0.402761071870877,
      0.418143839549198,
      0.439535557635526,
      0.455440255760473,
      0.449026055021788,
      0.43740413967625,
      0.439429722654793,
      0.45612653792437,
      0.466722541615337,
      0.447559676203155,
      0.415664143035753,
      0.390570310297975,
      0.373554528612442,
      0.369061876498348,
      0.381375932718976,
      0.407306425202986,
      0.431691691551915,
      0.440524718914635,
      0.436425443498626,
      0.428861727600374,
      0.423859235637807,
      0.416173118478333,
      0.401956052469262,
      0.388504154144147,
      0.385913323087062,
      0.399039168705109,
      0.421547129202897,
      0.437360015152602,
      0.437829088823279,
      0.433680716961866,
      0.442917688675555,
      0.466471116687375,
      0.469707318934276,
      0.445921558733847,
      0.434489406754799,
      0.454855745522336,
      0.488581988397524,
      0.492237833437261,
      0.451315923355209,
      0.410152727480335,
      0.408320044054125,
      0.451110497943496,
      0.499721747858606,
      0.493936707896813,
      0.456155613408497,
      0.441194139871395,
      0.462165496042469,
      0.498179718387617,
      0.50659401960424,
      0.475240680919595,
      0.434951558541215,
      0.411323880505244,
      0.410515479229292,
      0.412752003271284,
      0.406644738082356,
      0.408435646040978,
      0.42151092307057,
      0.432517470614903,
      0.428449427854981,
      0.413677479155711,
      0.410630086279314,
      0.418773714657358,
      0.424239067797249,
      0.417936514009051,
      0.40233327089124,
      0.395983752645213,
      0.405327459530776,
      0.422560952903469,
      0.438733552912588,
      0.440568523232081,
      0.429448537518183,
      0.424922954429411,
      0.425139742780912,
      0.415390361797542,
      0.40245923448863,
      0.411534811130434,
      0.455506023316415,
      0.525939102719696,
      0.583615776989679,
      0.594833452398549,
      0.584348833406238,
      0.578887672098759,
      0.568437580817934,
      0.534178081565519,
      0.499924335558813,
      0.490311446838363,
      0.497879905468888,
      0.491285366958092,
      0.462233639132651,
      0.439867617089334,
      0.443628305317528,
      0.465237190062575,
      0.477147325756123,
      0.45205170718534,
      0.40299054895224,
      0.366101106633211,
      0.360476285134332,
      0.378248575241931,
      0.395619513600079,
      0.40747303838814,
      0.420387952962178,
      0.426974884278257,
      0.416243008581096,
      0.40526886757858,
      0.411170899347456,
      0.424441172339367,
      0.428953031749804,
      0.418530420782376,
      0.404978550471829,
      0.406486281998529,
      0.420646485050592,
      0.437623160397516,
      0.450452234579106,
      0.446775722163191,
      0.433739317833572,
      0.430702144044952,
      0.444406832534828,
      0.46990208940836,
      0.487708328489865,
      0.489517310760453,
      0.485058137082354,
      0.481422429533779,
      0.489193088541058,
      0.505357429516146,
      0.504137249855274,
      0.480906654021044,
      0.457065191913428,
      0.442446273903183,
      0.430958001409533,
      0.412533598762658,
      0.381785984058792,
      0.0549255536088646,
      0.100176633473684,
      0.171913945640411,
      0.273684728970263,
      0.360039155671263,
      0.400406148500862,
      0.427096674409886,
      0.44195595159102,
      0.452433268009229,
      0.454502833444069,
      0.443079540214402,
      0.43129619629084,
      0.432815076615016,
      0.437085772105599,
      0.422263971158938,
      0.394660963499116,
      0.378832747183012,
      0.384085551702307,
      0.404790890703058,
      0.423166790124097,
      0.424146089951269,
      0.411966240786803,
      0.401006509845508,
      0.403351906223926,
      0.41127996444111,
      0.402844488765059,
      0.382501938101977,
      0.37266131023804,
      0.381336348009845,
      0.402413677891236,
      0.423336565914035,
      0.432024135314451,
      0.428842738584651,
      0.427415171125845,
      0.433972043922184,
      0.431511985184881,
      0.410224672871214,
      0.396088678178433,
      0.402790394379912,
      0.41772336799475,
      0.434707870639293,
      0.46063060195005,
      0.481652149188371,
      0.477031029576273,
      0.460675136950329,
      0.448231320398045,
      0.425390509104105,
      0.394570631453982,
      0.383466061479391,
      0.395981879865525,
      0.413218581009529,
      0.423540779705158,
      0.439408247092456,
      0.459941484129713,
      0.460670448686327,
      0.438992570365301,
      0.418882273126376,
      0.413217436777716,
      0.420247648457754,
      0.432916229381116,
      0.439372809248059,
      0.433782594653428,
      0.426042861867028,
      0.4351161542533,
      0.454370965943019,
      0.460471121290611,
      0.443996340858306,
      0.418731744465659,
      0.408055698178867,
      0.417817988804698,
      0.434474103141191,
      0.445480907325092,
      0.446816507536321,
      0.442756857860021,
      0.448556978777229,
      0.464719566030516,
      0.484852518982317,
      0.485199083121997,
      0.441818648187759,
      0.389936623387803,
      0.360975249798397,
      0.351198105630321,
      0.34980009335909,
      0.351548777637174,
      0.364297459953621,
      0.393963705088966,
      0.428326765668782,
      0.45294419919737,
      0.45651804507167,
      0.431081604606407,
      0.393465916436002,
      0.372064905990042,
      0.368711012178271,
      0.370524547278997,
      0.371776966624726,
      0.380048257883589,
      0.400212514048375,
      0.419570955037042,
      0.428845497516886,
      0.43142383118981,
      0.430028191140652,
      0.421849802574431,
      0.416040778310008,
      0.427425190565588,
      0.452471917627306,
      0.4715025072951,
      0.462727907310652,
      0.429132380643855,
      0.401352604053643,
      0.399520029849081,
      0.421359982208192,
      0.440758953448711,
      0.433515916455612,
      0.422076753162809,
      0.431310295632283,
      0.457416120296891,
      0.479554482104898,
      0.474601090763954,
      0.446384138540775,
      0.418383947499761,
      0.401472483685784,
      0.398617527401909,
      0.404777773600296,
      0.415526842356798,
      0.429095479485127,
      0.437324441900687,
      0.432876398032034,
      0.417688172464209,
      0.408409387918825,
      0.418321663602797,
      0.435036129808338,
      0.439600444445639,
      0.426151588252266,
      0.409217851067552,
      0.410307475628857,
      0.424897987527809,
      0.437078960623247,
      0.439241339743174,
      0.433123546779392,
      0.430106948210494,
      0.437219333690643,
      0.443944401188666,
      0.432800412490415,
      0.411892812463566,
      0.414233596189206,
      0.454035445946582,
      0.517098891567938,
      0.562768811604533,
      0.576240085430195,
      0.589325185385282,
      0.608705246683269,
      0.604307529251375,
      0.559639398353036,
      0.515810852725606,
      0.499038586170039,
      0.496711502492932,
      0.484209732165942,
      0.455953585924373,
      0.434034073357998,
      0.434254844643428,
      0.451625121611805,
      0.465493265665923,
      0.451709942596983,
      0.414938813597791,
      0.382502050086252,
      0.374858320182513,
      0.393439276588522,
      0.418909416820929,
      0.434179206626175,
      0.437570507056666,
      0.428789412523055,
      0.415317282516102,
      0.416495829843632,
      0.433096556489127,
      0.447485823043878,
      0.444246737876796,
      0.424278924070157,
      0.4087187971151,
      0.414819919755987,
      0.432133253103903,
      0.44368850976852,
      0.443392394524464,
      0.436857892062471,
      0.438968142541937,
      0.449259332291709,
      0.457000108027856,
      0.458035434725013,
      0.44794482220212,
      0.42926276905777,
      0.414911769256096,
      0.42231672465135,
      0.457387694930255,
      0.486068378902619,
      0.477048070378124,
      0.460921612309887,
      0.465907965805936,
      0.474597938072873,
      0.462367629801836,
      0.422064371076692,
      0.364801732848013,
      0.0526452317648078,
      0.100146763824206,
      0.178715190844395,
      0.292049617992784,
      0.383050309628888,
      0.414138974857129,
      0.435366509018496,
      0.459778868184966,
      0.485897996006631,
      0.49851713545491,
      0.490828815767926,
      0.479818327569832,
      0.479837746853443,
      0.471476348240098,
      0.438447817542798,
      0.405516045725504,
      0.400327075413817,
      0.419146620757748,
      0.436830652246058,
      0.440447106040088,
      0.438692218292551,
      0.439238472004759,
      0.442816266295627,
      0.450659174438186,
      0.449165139087016,
      0.423202555586864,
      0.395387850380795,
      0.395252042643351,
      0.417816934719906,
      0.436286501659172,
      0.441916057572605,
      0.441498034356068,
      0.440390102779321,
      0.440331844694785,
      0.444475971904711,
      0.455472891466958,
      0.465101553633579,
      0.469812107100618,
      0.471371347735422,
      0.467950212211727,
      0.469179264440342,
      0.483247791393313,
      0.495628091419066,
      0.490637016663978,
      0.47399070700783,
      0.460685278512777,
      0.456913580906482,
      0.458707989745257,
      0.464741917648795,
      0.470297746776548,
      0.468082866192986,
      0.460043862218514,
      0.459189263087302,
      0.466687237846764,
      0.46388800273995,
      0.446447662440956,
      0.430677046310104,
      0.422260150356067,
      0.421330413885029,
      0.430975103130388,
      0.448648305347934,
      0.462369097810642,
      0.457506031912571,
      0.450495608178859,
      0.454892750145533,
      0.462721605138236,
      0.462500273170463,
      0.447006691986056,
      0.428310938494805,
      0.424286704023325,
      0.435707174083972,
      0.458214417747253,
      0.476773061725326,
      0.468195566833309,
      0.452358867830591,
      0.453666233513279,
      0.478362626365037,
      0.495254899029493,
      0.45708977393444,
      0.401462007274927,
      0.373413752641733,
      0.371323023058506,
      0.37934291295239,
      0.388468035049829,
      0.403351828896911,
      0.421331507978755,
      0.434729116919613,
      0.447802556497672,
      0.456855584070615,
      0.444021689454457,
      0.412450897635024,
      0.392197985841898,
      0.392055830098231,
      0.398157979905913,
      0.403572732944099,
      0.414320997657126,
      0.426860306706462,
      0.433658773782072,
      0.442044048177942,
      0.459256603883772,
      0.470511780049726,
      0.45665794302556,
      0.439211732934712,
      0.441371712293794,
      0.454599909277382,
      0.460892833437154,
      0.454438091549528,
      0.445571371955961,
      0.443902797421164,
      0.453457744053569,
      0.471904131153156,
      0.477233618483927,
      0.45731762183751,
      0.439921770604341,
      0.441131284397387,
      0.452445552629866,
      0.458009678272466,
      0.451194822004383,
      0.439649468665789,
      0.430483524313257,
      0.425583123038797,
      0.426288385818438,
      0.426537739453796,
      0.425477939467359,
      0.429721087810992,
      0.440930361367739,
      0.455052688023055,
      0.45656084403906,
      0.442301859448415,
      0.434565926754767,
      0.438481541781446,
      0.446105328484641,
      0.445439995302205,
      0.428673949237338,
      0.414906492790331,
      0.417199369158338,
      0.434520647685208,
      0.45806755500095,
      0.464048101685998,
      0.448937753893746,
      0.440102696395465,
      0.444178766951362,
      0.439555457286293,
      0.416916975146615,
      0.412065539716483,
      0.450946132567002,
      0.514227106982291,
      0.550481703411228,
      0.551731463964768,
      0.564015133766766,
      0.591282335318691,
      0.594909480512935,
      0.554015283869997,
      0.508691325727805,
      0.487140991610975,
      0.482855359343956,
      0.476434831609577,
      0.455290403781074,
      0.432846149360854,
      0.424654635804043,
      0.435119582626387,
      0.453432377615394,
      0.450980462757819,
      0.421691686319049,
      0.394769726390218,
      0.392944897295416,
      0.409123112455854,
      0.420264653747993,
      0.424875931639763,
      0.436628418665253,
      0.452757172531957,
      0.452819297831254,
      0.441271848359501,
      0.437044848161644,
      0.442328936583904,
      0.449413272317551,
      0.445424833530701,
      0.431381808311846,
      0.427975771643503,
      0.439119999094693,
      0.458884324796287,
      0.475480690935827,
      0.467568471968656,
      0.447937261706598,
      0.441117552607816,
      0.449295216298961,
      0.458859931876162,
      0.45216982277172,
      0.441191246732503,
      0.438654193940805,
      0.440798484194593,
      0.441081683607839,
      0.430082084690273,
      0.41307080726705,
      0.411692648084149,
      0.421443990740303,
      0.419806390507096,
      0.395713921492927,
      0.351938861293646,
      0.306482628693333,
      0.0648372608435307,
      0.117366081020181,
      0.202493204793346,
      0.32358275670493,
      0.417852794359625,
      0.440938689658229,
      0.438395116641466,
      0.430566137038105,
      0.430823965322796,
      0.437495591966453,
      0.446736794160959,
      0.464277870638142,
      0.49919582981982,
      0.526867466755498,
      0.51811020092632,
      0.492304286345352,
      0.484078553664369,
      0.49671614947601,
      0.508475017127654,
      0.510531712255736,
      0.509008950785342,
      0.50418552249368,
      0.496795065023023,
      0.499524717056817,
      0.510693199650842,
      0.506915899999548,
      0.492292814060572,
      0.493795911650777,
      0.509083081834271,
      0.515845837200519,
      0.510734683233327,
      0.501339771041006,
      0.494903827901604,
      0.495219066855555,
      0.510766507749482,
      0.547520267034674,
      0.579661886408653,
      0.588296038382802,
      0.578110965156324,
      0.555653066010249,
      0.536704872078835,
      0.533200733587734,
      0.539734183465758,
      0.544154416922191,
      0.540658324097163,
      0.542218448134502,
      0.560982383934102,
      0.58100013757333,
      0.586626029158701,
      0.574815843307695,
      0.548569298057504,
      0.518045304991016,
      0.499392556846401,
      0.501182196996726,
      0.509808220495135,
      0.511860510639482,
      0.498854366202613,
      0.464619006540085,
      0.433176434141455,
      0.438184074335686,
      0.48586060894124,
      0.534487979293804,
      0.522074156118652,
      0.47621741404412,
      0.45636371530769,
      0.479485526275483,
      0.517787060271024,
      0.511814991668123,
      0.45991348745399,
      0.422671767919753,
      0.434312604432892,
      0.492940409516246,
      0.546950352087722,
      0.530001943172048,
      0.480231096755132,
      0.460353096783781,
      0.489336417074592,
      0.531528994245964,
      0.519174519586792,
      0.472435871533724,
      0.43859230933944,
      0.426499828638926,
      0.429490638965374,
      0.44098107410772,
      0.460664091474824,
      0.475457322243827,
      0.47122241486231,
      0.464167101589439,
      0.471844728490271,
      0.48652613812553,
      0.484060401999544,
      0.469040437552591,
      0.463104088745086,
      0.465474174414235,
      0.47089066890016,
      0.48177866835332,
      0.488335525562886,
      0.481905123954124,
      0.477135843655071,
      0.4927947845262,
      0.518070337040985,
      0.517538785599408,
      0.496707197630988,
      0.485161385822819,
      0.490416932419316,
      0.505573585670492,
      0.522408562017244,
      0.530837337794324,
      0.527288075250485,
      0.523556081511965,
      0.530305308261956,
      0.533333719452142,
      0.514526127702513,
      0.489604864503479,
      0.478402256933696,
      0.482001704137649,
      0.49167065348482,
      0.499442642587877,
      0.50262313237055,
      0.500854107579022,
      0.501016242858533,
      0.503428888388106,
      0.487007390587615,
      0.452485281580979,
      0.437266749527076,
      0.464926011512715,
      0.516798818696803,
      0.52573489524503,
      0.47321358151574,
      0.428577163224353,
      0.430580525632894,
      0.475270221676865,
      0.514880431854491,
      0.493308806449983,
      0.442485213536915,
      0.422153816109361,
      0.455382069453504,
      0.52001830431818,
      0.542027989134671,
      0.497695278884185,
      0.45418409454887,
      0.445464870900893,
      0.445683155009535,
      0.421716632099936,
      0.40518677256316,
      0.437211545674982,
      0.50415011591882,
      0.545038991917129,
      0.531551080445968,
      0.517029302905502,
      0.532987415901722,
      0.558953346226139,
      0.556894719746194,
      0.533631075437666,
      0.518384041711495,
      0.521668593150622,
      0.523643657753706,
      0.502017804498853,
      0.472132500632748,
      0.454708729434623,
      0.459625129397579,
      0.481302945857852,
      0.487459617808396,
      0.466309414652469,
      0.450017725832913,
      0.455736566314615,
      0.458094453790041,
      0.436885698509868,
      0.427781203774017,
      0.464249132036476,
      0.518686787411691,
      0.517239589559485,
      0.4665674833759,
      0.433712036758146,
      0.44620889907126,
      0.490609628151476,
      0.50884885024799,
      0.471121249389919,
      0.430768270978066,
      0.431896997003362,
      0.48009443835602,
      0.535821221415354,
      0.530862118662622,
      0.480775295727947,
      0.450636489703399,
      0.459954273432634,
      0.475873099098061,
      0.467979564712685,
      0.466620233974765,
      0.489583356705089,
      0.507488284239498,
      0.490506163948313,
      0.451404059039091,
      0.42152312703026,
      0.406231781562866,
      0.388336172618095,
      0.362388309754934,
      0.33451675297274,
      0.30753342792666,
      0.284930421774809,
      0.0773950914162522,
      0.130830914366095,
      0.212893266851399,
      0.330130994556543,
      0.430805399362524,
      0.46337906972359,
      0.445602160898742,
      0.399824413776772,
      0.36696275798322,
      0.366558392103774,
      0.399615459476126,
      0.457854490515333,
      0.535879749729374,
      0.605561738979618,
      0.637246521756705,
      0.643677023094823,
      0.65038137244693,
      0.659507868405418,
      0.663309757831019,
      0.656153483108376,
      0.634592165911613,
      0.606613848804114,
      0.588373177009872,
      0.594452144242964,
      0.619729411322062,
      0.641001329109823,
      0.648991472691694,
      0.654211583397485,
      0.659014254707904,
      0.659802835829485,
      0.651887077627549,
      0.62670065721251,
      0.59685316500053,
      0.58489435380833,
      0.601571680226512,
      0.628951636815431,
      0.631224801872895,
      0.620498491234509,
      0.624553304244559,
      0.642744214127032,
      0.659882570416305,
      0.669729978659113,
      0.674241408347371,
      0.671990397421148,
      0.665349231179282,
      0.661792209831736,
      0.650906067137889,
      0.62656778256351,
      0.610120950835251,
      0.61404836332122,
      0.628627149195425,
      0.632320035288064,
      0.626302642734145,
      0.629260517093417,
      0.636073684357185,
      0.631223771059441,
      0.604607362012635,
      0.560096114889187,
      0.53387590402077,
      0.553730515915559,
      0.601665751105309,
      0.62368219145886,
      0.58582242304796,
      0.545004683436415,
      0.546968942352269,
      0.58446861243053,
      0.619000879666227,
      0.60137310192037,
      0.546591790435573,
      0.521546906151773,
      0.551856347559278,
      0.616341439358034,
      0.653517408752902,
      0.614182954357083,
      0.559328844833014,
      0.547904496597397,
      0.590306933942588,
      0.653821938927558,
      0.666957518697331,
      0.6351682341587,
      0.605113750318836,
      0.589180085705,
      0.583180128348829,
      0.578193894053945,
      0.576175871874028,
      0.579761052871261,
      0.578743466047942,
      0.579828989410248,
      0.598939136134037,
      0.631572135907468,
      0.643248991511082,
      0.628238106418437,
      0.615332888806381,
      0.609834156910791,
      0.602910553560354,
      0.597708493626684,
      0.596246673696066,
      0.590278966564506,
      0.584260506127221,
      0.593021393134562,
      0.616194402873507,
      0.621506409908584,
      0.605688379774117,
      0.599215983123556,
      0.614890532189292,
      0.643686172567742,
      0.664412474410939,
      0.661220003663226,
      0.641171164179708,
      0.624091433511182,
      0.624503586456559,
      0.632578844965461,
      0.624045873907555,
      0.60504423284841,
      0.600038864600579,
      0.615550785965123,
      0.638393578160308,
      0.649740475606295,
      0.647202353996151,
      0.638991516908907,
      0.630116295992634,
      0.618513613569979,
      0.587857328247855,
      0.55096423981441,
      0.548389139902009,
      0.588316977282082,
      0.626902303182958,
      0.600174799797243,
      0.532492465221848,
      0.50809793568738,
      0.544206814120875,
      0.610627333952797,
      0.647026730393525,
      0.609137749053451,
      0.551300990980565,
      0.537512463501913,
      0.576348726491446,
      0.626875092438487,
      0.620456012644783,
      0.561830413730265,
      0.524495010327865,
      0.52560949685108,
      0.518714582740046,
      0.467669969236748,
      0.42555958667884,
      0.446905348927245,
      0.515721367331945,
      0.561440612816896,
      0.541869754767662,
      0.513651294497904,
      0.52729969136009,
      0.581362584781403,
      0.626361861263517,
      0.639591973618585,
      0.647296299197887,
      0.672383140255531,
      0.694361042451739,
      0.681807312565625,
      0.652505527238144,
      0.634259417233478,
      0.639046016870083,
      0.661016016115759,
      0.669875967557793,
      0.650701947485842,
      0.62431663940898,
      0.603511719060668,
      0.573691031436683,
      0.540599738113402,
      0.544021575904532,
      0.591038813170182,
      0.629051774986043,
      0.596445877570505,
      0.540188981551932,
      0.530372801525145,
      0.568548863148904,
      0.613271271039856,
      0.607761514402265,
      0.554379756543329,
      0.522500142522325,
      0.544571990805335,
      0.605230482826226,
      0.651213875119132,
      0.623241761644644,
      0.559664386651645,
      0.526896390740086,
      0.528712417840952,
      0.522103938043857,
      0.484173976719412,
      0.451331196619763,
      0.445910629371172,
      0.456044584222538,
      0.472373035588446,
      0.489083449236894,
      0.48690684320521,
      0.454339288509823,
      0.407801189084623,
      0.369105844889495,
      0.341575571718608,
      0.318933401518542,
      0.300791567743058,
      0.0847377674634737,
      0.142726928143422,
      0.227207990952678,
      0.34208247002028,
      0.436078549962673,
      0.463756335868755,
      0.443385195385407,
      0.39578524373973,
      0.364429559923449,
      0.36386156423842,
      0.393475077834879,
      0.45371410070156,
      0.539250376105261,
      0.619323108465092,
      0.660573494123733,
      0.67278334309355,
      0.679586281308216,
      0.683833352398247,
      0.681759679882765,
      0.664623627483988,
      0.631205588060658,
      0.604877144812884,
      0.603862512580538,
      0.623261387305633,
      0.643351231835048,
      0.656054966469789,
      0.667129786000741,
      0.677782882043881,
      0.683724586851405,
      0.683959332034453,
      0.673837118960483,
      0.645502271286827,
      0.619938976944221,
      0.619178276703524,
      0.636438312519356,
      0.632506082564101,
      0.592765022548213,
      0.566875336160662,
      0.588141421767195,
      0.644948655786669,
      0.698669906696583,
      0.717017035969165,
      0.699266685711615,
      0.669973685745379,
      0.653270403465163,
      0.646845750808758,
      0.621259225665615,
      0.577735079882323,
      0.558224638702481,
      0.585314622194666,
      0.644235007178742,
      0.688564429608679,
      0.692508613056197,
      0.671308021831476,
      0.644005788647832,
      0.619022092247077,
      0.597345747418456,
      0.580923617826427,
      0.586832668044782,
      0.623074171798424,
      0.661929207964929,
      0.660891509153499,
      0.6136303296647,
      0.585417921119913,
      0.601435391333834,
      0.632047824536534,
      0.638986670071236,
      0.606326290557416,
      0.569144089575542,
      0.573132883780328,
      0.618170095956273,
      0.669776234648309,
      0.677709797208199,
      0.626925138381459,
      0.588759434677507,
      0.596466012418907,
      0.638147997087596,
      0.673820098507692,
      0.658506697477226,
      0.628960588846525,
      0.622934388070528,
      0.631632188406254,
      0.639437023121717,
      0.637819754314364,
      0.629061073314242,
      0.613824336466691,
      0.598404770705842,
      0.599541789221466,
      0.617909443457933,
      0.635264085561071,
      0.638447940098264,
      0.640464022783083,
      0.650334384869963,
      0.655652319191373,
      0.649130027259634,
      0.634799946098767,
      0.614104019402606,
      0.595530400937896,
      0.595243659139437,
      0.614558944918936,
      0.633133305046873,
      0.624029107551955,
      0.609046715144223,
      0.618034661034924,
      0.647172185276559,
      0.67992849789903,
      0.689497104218783,
      0.663308692933652,
      0.627211176287921,
      0.612124102289021,
      0.624975169333743,
      0.637883607691556,
      0.623914803564438,
      0.607702569350703,
      0.613519948879577,
      0.64008372260159,
      0.671428938725927,
      0.683826721119818,
      0.673502651923046,
      0.656157171721678,
      0.637283809083426,
      0.617216232835241,
      0.590486104753801,
      0.578046761945501,
      0.601341367988458,
      0.64495560208569,
      0.666327409819557,
      0.626098595908281,
      0.56564605910057,
      0.558840556100007,
      0.602609173481278,
      0.649715730632137,
      0.652967400477646,
      0.61160485341526,
      0.58852028018142,
      0.610847077704238,
      0.655888772291829,
      0.67951481918368,
      0.64662918722066,
      0.5927099555887,
      0.574875595505099,
      0.582324055210863,
      0.557851846121372,
      0.481414003896901,
      0.427599949025844,
      0.446198373308097,
      0.510391929831157,
      0.550391401747116,
      0.53126742486817,
      0.511212130186646,
      0.530925365600054,
      0.578132915922109,
      0.616354941045228,
      0.642459734817441,
      0.671267476418274,
      0.699935639844125,
      0.710133975224423,
      0.701184811269456,
      0.690814325677484,
      0.687088159894589,
      0.693470219105086,
      0.702116009155423,
      0.69362744382173,
      0.665226734283754,
      0.632527164703702,
      0.607249076751192,
      0.584783256182674,
      0.578025572222026,
      0.607987465220486,
      0.657182365163959,
      0.673896474695223,
      0.626276262186336,
      0.579759428751976,
      0.587091725687185,
      0.626839354428,
      0.649430633207914,
      0.620377136060288,
      0.570700295940641,
      0.562827857699777,
      0.602865364134645,
      0.656630033070931,
      0.675903333215185,
      0.633600604561392,
      0.58609626965192,
      0.577682871000419,
      0.590325536976584,
      0.579468334156975,
      0.521006369241096,
      0.452596531546181,
      0.410300841713167,
      0.400580069090792,
      0.420455391053954,
      0.442540164983186,
      0.44361656115103,
      0.428995831611802,
      0.409593275319112,
      0.388584952923964,
      0.363157764809481,
      0.334642013201412,
      0.314662219652789,
      0.0781064835689349,
      0.135959139178497,
      0.221697704650913,
      0.33614523514036,
      0.421597527421386,
      0.444488780255206,
      0.44574979817565,
      0.43812902901747,
      0.438472282580701,
      0.4374295084044,
      0.428685490747042,
      0.43308083908867,
      0.470366380079884,
      0.526138354093953,
      0.551227527674025,
      0.534779466233567,
      0.510829576071918,
      0.499997443712934,
      0.503868504810671,
      0.501861251531241,
      0.483514048986064,
      0.470480856068801,
      0.478890819383954,
      0.506683760394405,
      0.535458234151409,
      0.542105701627341,
      0.529451807227204,
      0.515793336271901,
      0.511260991009972,
      0.513327746394556,
      0.507532144616945,
      0.486319960908825,
      0.470795134764793,
      0.48235578243014,
      0.519137030583754,
      0.543924270201608,
      0.526890327654341,
      0.50590956470111,
      0.517339920250194,
      0.554284586298364,
      0.590001679510253,
      0.600640865172008,
      0.579512141653833,
      0.54555545954146,
      0.532383770835027,
      0.544276271723097,
      0.542432426167005,
      0.512146299204239,
      0.492979582719024,
      0.509772368763877,
      0.551375830067945,
      0.586493740043161,
      0.596135757803893,
      0.577462693321227,
      0.536513442292521,
      0.500384569746695,
      0.487770904822273,
      0.485694497973922,
      0.485813471842158,
      0.49703906564939,
      0.514918722990112,
      0.524456159152091,
      0.516696556819583,
      0.517614143671476,
      0.534079105144662,
      0.544438251344497,
      0.534685752276819,
      0.509997730693954,
      0.487866428525411,
      0.484872833909602,
      0.502153861516811,
      0.529113626191088,
      0.540029055521289,
      0.51593168691373,
      0.497304779602074,
      0.507238539284488,
      0.534163765339746,
      0.542969651749341,
      0.509198166489613,
      0.473534119121701,
      0.460589976786982,
      0.460483200372519,
      0.467687894229649,
      0.485306796622852,
      0.504867384851785,
      0.500106419931727,
      0.476188976497963,
      0.467074478555024,
      0.480254684398855,
      0.493624853457955,
      0.491758426156548,
      0.486290160708083,
      0.48604033993302,
      0.491087587506032,
      0.506566110494373,
      0.521630064780177,
      0.509558087619555,
      0.47903724611378,
      0.467504652855963,
      0.487505145778642,
      0.514872718424553,
      0.510691111983531,
      0.490092582100008,
      0.487768587797528,
      0.50443075108323,
      0.525190372596799,
      0.527165154813837,
      0.500484211771942,
      0.471726315900777,
      0.471609947780361,
      0.507799580332801,
      0.541511358462863,
      0.525431725705506,
      0.493972775782511,
      0.486744825331328,
      0.50149950390824,
      0.522294682791138,
      0.531604041500552,
      0.524471322897258,
      0.508063970967798,
      0.490079066362098,
      0.483793701697041,
      0.482529775624982,
      0.482627393148725,
      0.494315269275867,
      0.515108500822885,
      0.530738997238877,
      0.525017165126661,
      0.504218769946699,
      0.498625522788384,
      0.508887206456935,
      0.517812866655285,
      0.511516277534148,
      0.489305357428741,
      0.479166588631592,
      0.4917236236514,
      0.514857564939237,
      0.531139611726987,
      0.522679767116821,
      0.50194225053213,
      0.499262480278384,
      0.508412962925006,
      0.491732644951565,
      0.440545202019994,
      0.413362963642324,
      0.446013453164356,
      0.513712325182083,
      0.556200689214127,
      0.544274423879284,
      0.529564720251495,
      0.540880346300553,
      0.555210952514427,
      0.543744450148008,
      0.526479046271186,
      0.528210932484137,
      0.54031363627405,
      0.537206483329517,
      0.51903330674593,
      0.504391703735665,
      0.498818908657731,
      0.50330958047224,
      0.512322025710987,
      0.507087963112018,
      0.482329352664169,
      0.458291382973243,
      0.455273928446068,
      0.465886444795258,
      0.472922342596666,
      0.483676167224471,
      0.504385883848595,
      0.520588941242524,
      0.511285759030066,
      0.49557175397508,
      0.499560346818076,
      0.514585240401929,
      0.520833977568793,
      0.508030490000609,
      0.487564703153825,
      0.48585746118548,
      0.503154919123426,
      0.525580870943507,
      0.535847045560737,
      0.517806876033851,
      0.498018621843906,
      0.506030738568624,
      0.532469546183372,
      0.536169935318221,
      0.492758005147168,
      0.445281564533224,
      0.425874475026303,
      0.424095378300973,
      0.421863219968462,
      0.411825401285397,
      0.405323178047586,
      0.406929966766071,
      0.399758380963566,
      0.374715340395686,
      0.339317832555418,
      0.30487404481613,
      0.286296605798007,
      0.0644536108581201,
      0.115065135827022,
      0.194152864175417,
      0.304295806799401,
      0.38858567001357,
      0.418320707000608,
      0.447516403461923,
      0.480559997228502,
      0.505641837873815,
      0.498662450918656,
      0.461928484289035,
      0.43078198343726,
      0.431377330666082,
      0.452848794037017,
      0.451554989774227,
      0.419347973701897,
      0.391165858806121,
      0.387755323508726,
      0.404533916873202,
      0.413312587650827,
      0.403334015248622,
      0.397357764231924,
      0.409618030649681,
      0.437357440138108,
      0.460086203818427,
      0.450243593494714,
      0.417652706137201,
      0.391072183287538,
      0.386677320644695,
      0.401518834799547,
      0.411159908235941,
      0.397574789107984,
      0.379544397196851,
      0.389320449440909,
      0.434874355166948,
      0.473738688918028,
      0.461616188498179,
      0.439064170050343,
      0.449022819515909,
      0.479496027498978,
      0.502615024646097,
      0.508169831270317,
      0.493918275669355,
      0.464929711958705,
      0.452054568585453,
      0.467897457262743,
      0.472955618916622,
      0.446622362856828,
      0.429461848012321,
      0.446973573345711,
      0.481558507630423,
      0.503474610924734,
      0.508510989227676,
      0.498371010729611,
      0.465633860523794,
      0.42942537419528,
      0.410398761983633,
      0.401193339159352,
      0.393683430041067,
      0.396729627108656,
      0.414191348800546,
      0.433113943871914,
      0.434215408430445,
      0.432770253459902,
      0.442174395061096,
      0.450114661155494,
      0.442588239110754,
      0.419718806523256,
      0.398710236298766,
      0.393498789439941,
      0.406106402044385,
      0.432638104823605,
      0.452550368401387,
      0.441841109688737,
      0.425812295873626,
      0.429088446506173,
      0.448387084640257,
      0.456692951255752,
      0.433675212142349,
      0.401352722058206,
      0.374797297561007,
      0.357778701164074,
      0.359614433618051,
      0.385519854717931,
      0.41861437151904,
      0.427939859200225,
      0.414747472269459,
      0.405603578941964,
      0.40996858927682,
      0.4178085660488,
      0.412891663291107,
      0.395480860472196,
      0.379355917083129,
      0.378905954240673,
      0.402883863008912,
      0.432886405925567,
      0.436514839861164,
      0.418469450053886,
      0.411092182859037,
      0.429750049372675,
      0.454700170295528,
      0.444496728720304,
      0.413493052203384,
      0.407399724565955,
      0.431106014039097,
      0.45808516947037,
      0.456732072453062,
      0.423475938458162,
      0.392605570344756,
      0.395288842365012,
      0.438285978219446,
      0.478287885260934,
      0.456082546601985,
      0.411662453387203,
      0.402302633384887,
      0.425264398495816,
      0.449636101270543,
      0.45063964134258,
      0.432138343005895,
      0.410031875592203,
      0.396169576560198,
      0.400881725748571,
      0.410218728995355,
      0.407053474830751,
      0.404372390505665,
      0.414804788507942,
      0.431143264816262,
      0.432325676034812,
      0.416082707389362,
      0.408984551943904,
      0.415931992429979,
      0.424276713065911,
      0.421039319125945,
      0.404489613910465,
      0.393518094982438,
      0.397921771073346,
      0.415044222914189,
      0.435935654072659,
      0.438547587311899,
      0.423261067113076,
      0.417068964601332,
      0.422962896065362,
      0.419426015621826,
      0.407208729757086,
      0.420225063531794,
      0.474680571149193,
      0.548140602012579,
      0.589163908048799,
      0.579023064210147,
      0.562741510771193,
      0.561588102726426,
      0.551889649674105,
      0.511354550676019,
      0.468024253433362,
      0.453065766718811,
      0.465623666985625,
      0.471914149359256,
      0.452727338158171,
      0.42893023042949,
      0.419724178952191,
      0.430539605350225,
      0.450893745434452,
      0.449333332001438,
      0.415034257837731,
      0.379397567269309,
      0.371209449684309,
      0.386179061939471,
      0.396981616262377,
      0.400847748909118,
      0.411988735035474,
      0.427716642605479,
      0.42754176433691,
      0.416264885872324,
      0.414373102180001,
      0.422447455190574,
      0.42966666501127,
      0.423307502115824,
      0.406332468398781,
      0.39921631645263,
      0.407479455781143,
      0.426676714182472,
      0.444532829473443,
      0.43979775196854,
      0.425012119177519,
      0.426440597811185,
      0.445299611777515,
      0.460066780913462,
      0.459277448074699,
      0.457108860262509,
      0.456683786395258,
      0.4470272635416,
      0.427195355683488,
      0.414436595755868,
      0.417516830706954,
      0.419600907339917,
      0.399187172105771,
      0.357825508399329,
      0.312366921755812,
      0.275450642770157,
      0.254524369715031,
      0.0548005310148507,
      0.101300172836304,
      0.177731694993371,
      0.28956203557498,
      0.3787850157898,
      0.407406511495209,
      0.427498520800763,
      0.448888891362791,
      0.463328718249747,
      0.455985284432934,
      0.43224422006303,
      0.414681859666462,
      0.416026372413891,
      0.421249686002437,
      0.403190436215044,
      0.370426624092678,
      0.353957907610057,
      0.364415895563192,
      0.387310871166648,
      0.395973926619002,
      0.38691931027078,
      0.381845917600154,
      0.390708796977671,
      0.407658886886236,
      0.41204638808952,
      0.388484509595409,
      0.358569729116181,
      0.348968222939038,
      0.363366356560871,
      0.385617244782925,
      0.39436175830829,
      0.383792464637825,
      0.371475339580414,
      0.378405521951192,
      0.408033583184298,
      0.429595907145179,
      0.411372299568421,
      0.386276989365622,
      0.389138403538836,
      0.411527476978525,
      0.43161874242287,
      0.442436798503304,
      0.446638243981259,
      0.444100751565401,
      0.443361900232197,
      0.447047035645868,
      0.432286309869991,
      0.396265408509385,
      0.374500785924613,
      0.385006013740685,
      0.412528487026356,
      0.429966693048015,
      0.434158873045963,
      0.434151975847451,
      0.422659675621704,
      0.402165357294152,
      0.388968522125245,
      0.387960958150029,
      0.393352818207891,
      0.402897200249133,
      0.415430162656283,
      0.423163829151685,
      0.416418903678172,
      0.409394038302046,
      0.413306863287719,
      0.418478914038674,
      0.412170571536219,
      0.394986489181749,
      0.38427733291406,
      0.389232041232374,
      0.40379532152465,
      0.423722649786687,
      0.442097162934732,
      0.43982974904703,
      0.425312610348756,
      0.419104721765879,
      0.429859576142438,
      0.43676854724858,
      0.410089283815051,
      0.37015764496329,
      0.341080611854817,
      0.326104385756947,
      0.326532341556049,
      0.34179434199595,
      0.367118300029539,
      0.389580553036301,
      0.401950912868147,
      0.40890721883398,
      0.409727236412759,
      0.398330494770286,
      0.375004948354208,
      0.352301896521967,
      0.340595814547959,
      0.341511590696265,
      0.355022515444101,
      0.376524091627775,
      0.39419461547209,
      0.403022336905041,
      0.408446423532064,
      0.415733911295605,
      0.416576801250162,
      0.393741206154657,
      0.367844413733267,
      0.372846237136211,
      0.407052092444349,
      0.442241234431118,
      0.445687840043933,
      0.414450654217125,
      0.382511933874388,
      0.378913893243046,
      0.406234566855754,
      0.427719350127748,
      0.402966984910114,
      0.370675634999048,
      0.37611722363385,
      0.412312845813749,
      0.445093283510622,
      0.444874031311767,
      0.418757941216123,
      0.389903063920219,
      0.372484826685652,
      0.374292623387675,
      0.386907007391533,
      0.395098302656302,
      0.400642033988048,
      0.409276406996884,
      0.416578199233,
      0.408621847608805,
      0.389946938893709,
      0.385251199681515,
      0.395788142889054,
      0.405794136660709,
      0.404212524671517,
      0.397024451205329,
      0.399213761370376,
      0.408813967965715,
      0.419549222463189,
      0.430030638513377,
      0.430442149640179,
      0.416478886892914,
      0.404730073254157,
      0.399768618115703,
      0.399265710438122,
      0.420684085181945,
      0.46624570223202,
      0.52574993080909,
      0.58295138011688,
      0.609667108407156,
      0.604531999529609,
      0.590598820066914,
      0.57674831412075,
      0.548504643491618,
      0.500208910743322,
      0.46238467356564,
      0.454021471839675,
      0.467912732264429,
      0.471672699270793,
      0.447555354275558,
      0.421645508326063,
      0.417863922360648,
      0.435653336951251,
      0.452821868127579,
      0.440412073310507,
      0.402323798990816,
      0.369966629587884,
      0.364929825528285,
      0.383659830125734,
      0.401488563715137,
      0.408387585341159,
      0.413811139919283,
      0.416847437007691,
      0.405695326822246,
      0.392339806298357,
      0.393607962269936,
      0.403973889248498,
      0.407504546888878,
      0.395610970143126,
      0.384076462829212,
      0.389361973539368,
      0.404567318988451,
      0.419834747355263,
      0.43087784502982,
      0.427745258398412,
      0.414749624030467,
      0.407607043346235,
      0.412919519374757,
      0.426843217751502,
      0.44047170476699,
      0.441271852152428,
      0.424223258627422,
      0.399190270172358,
      0.39030932473448,
      0.401429151844936,
      0.409714630314751,
      0.403979939304108,
      0.387980781180379,
      0.362056138825789,
      0.326861982151716,
      0.28881673242402,
      0.257376158890288,
      0.0450598201840723,
      0.0894195366256218,
      0.166756250533152,
      0.286366814698642,
      0.387368618942213,
      0.409295244964005,
      0.392810594151006,
      0.366313276906958,
      0.350981845524925,
      0.354285791409655,
      0.376518291652796,
      0.408936359381294,
      0.440631331913145,
      0.445228397942069,
      0.41180876148631,
      0.377427748644499,
      0.374178659123654,
      0.397596600481831,
      0.417220815935092,
      0.411609614357234,
      0.394921282889204,
      0.390750488171406,
      0.40291539087577,
      0.422183334623209,
      0.424154043598657,
      0.395514400508069,
      0.367493763867239,
      0.369069402268745,
      0.393623255478537,
      0.411287089501611,
      0.407861853810663,
      0.39947894598373,
      0.40488358425983,
      0.423209907469396,
      0.442114917659573,
      0.442438511195022,
      0.417677482258117,
      0.395913021181939,
      0.393864295379892,
      0.405726783126053,
      0.423689015027686,
      0.442181413746943,
      0.457137787675517,
      0.467557126251195,
      0.473198160538569,
      0.468965502120915,
      0.443380763507399,
      0.405833149967648,
      0.38486135597944,
      0.387120142410506,
      0.402315863297961,
      0.41468685650269,
      0.421728173192125,
      0.430648482051138,
      0.429993575837409,
      0.412371172299698,
      0.391918516506469,
      0.384110113356674,
      0.393045915521385,
      0.411426037611121,
      0.427287424328063,
      0.429424451571641,
      0.417467613626812,
      0.412910972726702,
      0.420760008236768,
      0.42609907200807,
      0.417465953594784,
      0.399988428259139,
      0.392909088439082,
      0.403446548234204,
      0.421268023883047,
      0.437846611338573,
      0.445626962789976,
      0.434576503790532,
      0.421112876779998,
      0.422059501023866,
      0.444633595488724,
      0.461254841753596,
      0.423331268518596,
      0.363497081302619,
      0.330811064577667,
      0.329594153990002,
      0.343884338168661,
      0.360046760331553,
      0.381480360941459,
      0.40329303217539,
      0.411224418182505,
      0.41213976049927,
      0.41228033384645,
      0.399556473488802,
      0.369679868722395,
      0.347750659960459,
      0.349153588305199,
      0.360882588729507,
      0.372170910418925,
      0.389004982712397,
      0.40753167918497,
      0.416551493668787,
      0.419564161430692,
      0.426307717795537,
      0.428150159667272,
      0.405409160048734,
      0.378538431839767,
      0.378737054755259,
      0.404537948103916,
      0.434031821772705,
      0.439423946474534,
      0.419651044378914,
      0.401057125503051,
      0.402253919174884,
      0.421325044359928,
      0.429305914411011,
      0.404900433690548,
      0.381059591309941,
      0.386133055842798,
      0.415290495734114,
      0.442136837539837,
      0.440627459499071,
      0.418412984132474,
      0.396939068448148,
      0.385579246494281,
      0.382028641966491,
      0.380133841029085,
      0.38390973378868,
      0.398337534741452,
      0.415915332848872,
      0.424064012283592,
      0.4139441143779,
      0.401025723037334,
      0.404868174409006,
      0.417596513458732,
      0.421972082744733,
      0.410544733717669,
      0.393725778230301,
      0.391991607163778,
      0.404566705748832,
      0.421012399257529,
      0.432662843575738,
      0.42899684253551,
      0.414656078572664,
      0.408109745557962,
      0.410865048423798,
      0.414560897037576,
      0.422769603162669,
      0.443365761620565,
      0.481727279573394,
      0.530167620130405,
      0.562336617398684,
      0.567989372052612,
      0.563329770636164,
      0.555080656512209,
      0.52970418884773,
      0.48458575579683,
      0.45244448546562,
      0.450665933700002,
      0.467310122199785,
      0.47239872958741,
      0.451944621975471,
      0.431097191058802,
      0.431239181778645,
      0.449830335899217,
      0.4631340315032,
      0.44303408960638,
      0.398661090750212,
      0.363203319892293,
      0.354341104393429,
      0.368277146085988,
      0.388660411361395,
      0.405327757274832,
      0.418519844500725,
      0.419935853523296,
      0.402646845242359,
      0.390334489936282,
      0.397693177085098,
      0.412453193175357,
      0.415082709405032,
      0.400223838558658,
      0.389772954179935,
      0.400954059643576,
      0.422253643926796,
      0.438619658523044,
      0.443046786066234,
      0.430544775514872,
      0.414452047775494,
      0.410736339200339,
      0.419299477147425,
      0.422962508238515,
      0.405609699309527,
      0.382071663665429,
      0.368575155750983,
      0.368403986083657,
      0.378624888964675,
      0.379777677330484,
      0.363388629020214,
      0.350733760994569,
      0.349590402929472,
      0.34414180731536,
      0.322382785067823,
      0.288787454955106,
      0.25962615207516,
      0.0551774472627976,
      0.110556277847837,
      0.200449394585264,
      0.325747918976964,
      0.420238103251532,
      0.436174993629255,
      0.412381593897393,
      0.366512587568307,
      0.330361319406278,
      0.325330007565837,
      0.356516401833825,
      0.41213085588446,
      0.471355547262491,
      0.492409571202355,
      0.463758547667835,
      0.43496633824938,
      0.437877700599197,
      0.461334706151093,
      0.476067887957565,
      0.468873135657959,
      0.450534651454453,
      0.441159971452831,
      0.450434303519173,
      0.472856903754578,
      0.478838938209851,
      0.453333556587147,
      0.432427838944253,
      0.441385056052563,
      0.466115648697804,
      0.476918614421579,
      0.468029241276297,
      0.459379492646813,
      0.47208539197473,
      0.49998510018829,
      0.523303296827005,
      0.526967657326523,
      0.513848850668426,
      0.503399523081707,
      0.498886400821938,
      0.499423842074458,
      0.507883619909163,
      0.515449812863952,
      0.514356240049711,
      0.517364902180064,
      0.528270800307604,
      0.53359442794366,
      0.521266210200253,
      0.500070430284438,
      0.489215207094607,
      0.489255293818959,
      0.495077129855944,
      0.4974835169752,
      0.492082238222313,
      0.483585124771385,
      0.471123698505555,
      0.457406110687998,
      0.446710281767867,
      0.437023005809867,
      0.431082210320571,
      0.439047774438249,
      0.460501886187422,
      0.478009764809328,
      0.469632857385708,
      0.45110172142143,
      0.443558381045528,
      0.447482734230869,
      0.453014772757151,
      0.444650466420533,
      0.427474857015787,
      0.423705787124979,
      0.439541280954105,
      0.468881874401026,
      0.4916433603738,
      0.479979470774201,
      0.453470262454363,
      0.443359329237573,
      0.463400446183455,
      0.488751454401264,
      0.463247934934258,
      0.409710575495316,
      0.382358615020542,
      0.393499068075522,
      0.423762029000425,
      0.451738924879453,
      0.473805813708504,
      0.47789301399502,
      0.454498907065372,
      0.429459114727086,
      0.426479349902228,
      0.432180308329027,
      0.419543846102223,
      0.408396960109696,
      0.424922623980966,
      0.452633442905843,
      0.472512383462234,
      0.487015330703405,
      0.488625753879284,
      0.476086578247959,
      0.469659121578216,
      0.487819793135674,
      0.5081632529883,
      0.487640116080297,
      0.448166557535332,
      0.430313896564742,
      0.440550926365056,
      0.464948970723328,
      0.477292513811992,
      0.471155205396654,
      0.469946360179532,
      0.48951210631983,
      0.520949595823446,
      0.52665261969236,
      0.487789073460012,
      0.445610460264237,
      0.429412355280568,
      0.439683128963153,
      0.461366494921892,
      0.472238885925667,
      0.46975556605038,
      0.462650298578784,
      0.457238553596248,
      0.454622828271974,
      0.447851510848865,
      0.438212277441771,
      0.436758727474653,
      0.449355611351665,
      0.467384084122498,
      0.462744687520938,
      0.436008258715033,
      0.421780665453425,
      0.42908490750834,
      0.446930730627841,
      0.457753268394474,
      0.445900328108178,
      0.427990994368707,
      0.424846366338328,
      0.441680719439313,
      0.468330175468098,
      0.475640434668588,
      0.455199556093237,
      0.435718468414378,
      0.431692912952952,
      0.430498142531668,
      0.418305079142653,
      0.410549607990945,
      0.432577050971987,
      0.481613771013538,
      0.518607612713959,
      0.522044355774844,
      0.522828865707961,
      0.53356537631931,
      0.530772253763216,
      0.496870483037108,
      0.46286643095695,
      0.454513893015064,
      0.466348651327549,
      0.473644089261224,
      0.462413221593436,
      0.449997345881594,
      0.450473996187964,
      0.463151593701949,
      0.470254037711949,
      0.446407336811042,
      0.404405764266078,
      0.382107743997849,
      0.393334596395747,
      0.417422163895294,
      0.426548603480262,
      0.43038426720621,
      0.447679505916192,
      0.466965658457567,
      0.459474753782612,
      0.437267728768564,
      0.428800641344176,
      0.437678815644979,
      0.450828873732958,
      0.448683803506792,
      0.432037184834501,
      0.42621881114185,
      0.439485033963697,
      0.46429001688687,
      0.484376140367767,
      0.476341179165258,
      0.452227066381182,
      0.443033850619568,
      0.454848147054623,
      0.458585897866872,
      0.431605394294399,
      0.408914291198379,
      0.414771281339268,
      0.438759211406851,
      0.453188667093205,
      0.441779317139737,
      0.414978968244321,
      0.396193018053655,
      0.385722692440404,
      0.368005836297689,
      0.337158050571545,
      0.297693765683356,
      0.260001148262164,
      0.0960316192306082,
      0.186478074712367,
      0.32054079841502,
      0.480452335421367,
      0.568058525303539,
      0.569619126821747,
      0.565055265788003,
      0.548160882826148,
      0.533068184664664,
      0.522514194026576,
      0.509798237027786,
      0.511583975359657,
      0.545445692252567,
      0.582386764897984,
      0.585164820162816,
      0.568641684633777,
      0.569129079799446,
      0.589242169166113,
      0.611215263280604,
      0.619250488371559,
      0.601760256849901,
      0.570084436351875,
      0.551556583828721,
      0.565516047212976,
      0.59065590103901,
      0.588949510915475,
      0.573131556582406,
      0.57501609544548,
      0.593087867212748,
      0.609591598737371,
      0.612890732130307,
      0.59452728847155,
      0.571803514536805,
      0.568331240925886,
      0.591815147421215,
      0.626589046818928,
      0.638144207619815,
      0.629263733183394,
      0.620369322196637,
      0.617181501420854,
      0.621093923614101,
      0.628310639040956,
      0.633728302139271,
      0.636996518853425,
      0.637281996467632,
      0.638916035956074,
      0.637384416805151,
      0.624893649560142,
      0.612180975554694,
      0.608178839465438,
      0.612876610172617,
      0.614605701717553,
      0.609515133303178,
      0.60523276943791,
      0.601295081323023,
      0.599109412933882,
      0.603733950046854,
      0.598971930773042,
      0.576595508721741,
      0.560320493346274,
      0.566747243298605,
      0.590215571093941,
      0.595662165297421,
      0.576404179513924,
      0.558877683555229,
      0.559044104029674,
      0.580123507168869,
      0.597507758730962,
      0.583390203943993,
      0.560207494274629,
      0.55509921829902,
      0.578097258552268,
      0.615455356125381,
      0.615579101438231,
      0.580633599907224,
      0.551138756916426,
      0.555553284857266,
      0.591805201129804,
      0.601644293259721,
      0.568060375783059,
      0.536014599017137,
      0.532014996366422,
      0.552290125104931,
      0.574819554101301,
      0.588241442480845,
      0.585683528972647,
      0.560188516850504,
      0.53511220405899,
      0.540698752424899,
      0.572801414861189,
      0.58272583574485,
      0.567268572966628,
      0.566667840744088,
      0.581225030349926,
      0.589508576909884,
      0.589040847131082,
      0.581812594249763,
      0.56856155385382,
      0.56018342071211,
      0.572518270326924,
      0.599132430633696,
      0.600251548683025,
      0.573637339348451,
      0.549918313948291,
      0.546279162975379,
      0.565137859533169,
      0.590603137051502,
      0.600744021927688,
      0.598243147383114,
      0.600376091264971,
      0.615820673736381,
      0.626602190866705,
      0.608029298043751,
      0.572846145079283,
      0.548094528135786,
      0.547033357300312,
      0.568417227744158,
      0.59498997033401,
      0.612562542529796,
      0.616512730325959,
      0.606266424925145,
      0.59636002222362,
      0.594016230457441,
      0.58752561808939,
      0.57343073940179,
      0.568981541968852,
      0.584150166488451,
      0.595745465594907,
      0.574475021760166,
      0.547285129448823,
      0.541374615199195,
      0.562305436658656,
      0.598143220731492,
      0.606366501309008,
      0.582230440540749,
      0.558895352243191,
      0.559399332478057,
      0.586055451771612,
      0.607328485537405,
      0.589060299317081,
      0.555663373348194,
      0.528773354357404,
      0.497033681325446,
      0.455435979556973,
      0.426724244220911,
      0.438667204124872,
      0.485802025965149,
      0.521930779439998,
      0.526549500107913,
      0.536965292912909,
      0.572500551867157,
      0.612894030119395,
      0.620064791974005,
      0.602891518066727,
      0.59010508721519,
      0.595514543664679,
      0.601269370311798,
      0.583718591283043,
      0.562404342361285,
      0.556164239547702,
      0.565380907040859,
      0.577798823924833,
      0.571810714492062,
      0.551222805575383,
      0.543254188432313,
      0.564918775591391,
      0.590342030974961,
      0.579495489587843,
      0.556166187404452,
      0.559916861041477,
      0.587412583776987,
      0.597480901993222,
      0.577974010828899,
      0.55963735798495,
      0.55741552679052,
      0.57058693712948,
      0.586035129900433,
      0.578134427539667,
      0.558416274387775,
      0.551994344450255,
      0.571016126946806,
      0.608713135727617,
      0.620259796739496,
      0.590420731247013,
      0.558905527165069,
      0.543818359275777,
      0.530199440711133,
      0.510642792223211,
      0.503591301200057,
      0.516643300734306,
      0.531113221722766,
      0.532952538001005,
      0.535076297798326,
      0.541734241073436,
      0.54105370713232,
      0.522062885012867,
      0.48512508308886,
      0.436401301231572,
      0.375848567473035,
      0.302134739992255,
      0.171288931914204,
      0.289686375124147,
      0.448133429359617,
      0.62374366467576,
      0.70421863891812,
      0.698558204402535,
      0.715964089642009,
      0.750458788681346,
      0.783746772265581,
      0.777258678921571,
      0.72494176620419,
      0.674454247508093,
      0.663995713259593,
      0.678463719264167,
      0.688077056870333,
      0.691594616608386,
      0.708622150120307,
      0.734598874457753,
      0.756296385131436,
      0.764391201598449,
      0.749428460928546,
      0.721167948110481,
      0.698935975793792,
      0.692598422141335,
      0.689807471971147,
      0.681883716677497,
      0.681276334168988,
      0.700944986911992,
      0.729682395686455,
      0.752174479012459,
      0.759412287060377,
      0.735514774101913,
      0.689746272241909,
      0.652040741131886,
      0.643589622109846,
      0.654111329845463,
      0.652711532667477,
      0.649034616618555,
      0.666729304228846,
      0.693537912488046,
      0.709624823713669,
      0.716759980390858,
      0.720031838231652,
      0.711780031763919,
      0.692964784303807,
      0.677698495595103,
      0.661121157521484,
      0.639966489591361,
      0.636576858080168,
      0.659940537537866,
      0.691895308195128,
      0.703094108196413,
      0.697614316876045,
      0.701096724109456,
      0.713762986186057,
      0.719288626637226,
      0.708931121094047,
      0.677191527807669,
      0.646789345461421,
      0.649520550382934,
      0.683177692725047,
      0.715494945488762,
      0.699494755091708,
      0.663849867031946,
      0.65462764495747,
      0.676771995049998,
      0.70779099421661,
      0.708062959362214,
      0.674516471184487,
      0.651511137310668,
      0.661495435319333,
      0.697121688351293,
      0.720951864122345,
      0.688419068229118,
      0.644239008132191,
      0.634207896664812,
      0.669893792106962,
      0.721387738015194,
      0.725959278885659,
      0.697875016637484,
      0.682553379323813,
      0.683838208396093,
      0.691197578627087,
      0.692435481841059,
      0.6828858321564,
      0.658574619334138,
      0.629773044090225,
      0.627551546932884,
      0.659071019328102,
      0.696141289549612,
      0.701798511290137,
      0.690366035719783,
      0.691760115765541,
      0.700563477665755,
      0.701724151528028,
      0.689847662061832,
      0.663590694603892,
      0.637014678711506,
      0.633474092610484,
      0.658174698432567,
      0.693567466901352,
      0.70055471795745,
      0.685311897212338,
      0.681984328470475,
      0.695221165486237,
      0.709789139223177,
      0.707649199848517,
      0.688912501142128,
      0.67153634091667,
      0.667458642865027,
      0.682575949058185,
      0.702483630749451,
      0.700889481054397,
      0.687321039716449,
      0.68545385683567,
      0.697075589256803,
      0.709042772375655,
      0.711783273133388,
      0.713348460726354,
      0.719325561911735,
      0.717769403911026,
      0.708392642174648,
      0.684908701496655,
      0.656696712700048,
      0.649362344988846,
      0.672837080250231,
      0.710428414744464,
      0.717671282799327,
      0.681966478876801,
      0.657310915283127,
      0.666523846127158,
      0.695945782222056,
      0.713619939093081,
      0.687950125352995,
      0.651998408504196,
      0.643391476158557,
      0.667455252762394,
      0.704412607071527,
      0.705939594851427,
      0.662697331322143,
      0.629993479791793,
      0.62610088985738,
      0.610555209277353,
      0.548295151361908,
      0.483404121576326,
      0.475601912521374,
      0.517653679594763,
      0.557934915543251,
      0.570641215963481,
      0.590500339785931,
      0.636927991109159,
      0.686645152057771,
      0.706708304010911,
      0.714849475375498,
      0.73168717711068,
      0.75553868402907,
      0.763538335332001,
      0.74585715997395,
      0.730925687237575,
      0.734386016800896,
      0.750355756863302,
      0.760869647133747,
      0.751969465090595,
      0.735889997999024,
      0.726314386818634,
      0.720868761332174,
      0.693795378703839,
      0.649998033160852,
      0.638556736835944,
      0.671119441180768,
      0.711243671242011,
      0.703468992089946,
      0.664447183823314,
      0.648545961245055,
      0.666547850833123,
      0.699095353061827,
      0.709052636627886,
      0.679766290828123,
      0.654445319020693,
      0.660231878155346,
      0.693005528233324,
      0.723515483695081,
      0.703217426852736,
      0.655016899006522,
      0.628651697764003,
      0.62452594764518,
      0.612857285166583,
      0.586797640958552,
      0.572676910820295,
      0.577831222420441,
      0.587157489539864,
      0.598817596797169,
      0.61187494937999,
      0.618796661611819,
      0.615110645506171,
      0.59578886390434,
      0.555409735961457,
      0.492379859409263,
      0.411025843766129,
      0.319103903789638,
      0.180407150603914,
      0.280220722326986,
      0.409793031195739,
      0.563851454124406,
      0.651233812340173,
      0.638539887394227,
      0.594817399223524,
      0.566681720466638,
      0.570859800345279,
      0.575224568019183,
      0.568384146590916,
      0.565265175169635,
      0.578381083441322,
      0.592510525628957,
      0.590598200285865,
      0.584917094663601,
      0.593079376792074,
      0.610516803876678,
      0.626077128626908,
      0.622280026903945,
      0.598467306814529,
      0.58334340410466,
      0.588554424805446,
      0.600490034833321,
      0.597561007085156,
      0.58532221099349,
      0.586750489395121,
      0.603928002023861,
      0.621792361871974,
      0.628170069915528,
      0.616728651095495,
      0.584999303433267,
      0.550395087083795,
      0.537456476431181,
      0.553623569080009,
      0.568713998375514,
      0.555364127418974,
      0.549736395883667,
      0.579262029741,
      0.622368380297787,
      0.645363154636863,
      0.641801939910375,
      0.621228045164081,
      0.598543497941909,
      0.593196970068501,
      0.601527649257468,
      0.58748830548079,
      0.553438067707174,
      0.547636187027832,
      0.581525691570559,
      0.62615631441987,
      0.644279383561882,
      0.635712286000964,
      0.620711593900544,
      0.605009396262626,
      0.593867201085551,
      0.585640706029624,
      0.572943148009264,
      0.571767524971749,
      0.591632576495651,
      0.612294825463295,
      0.604898326348479,
      0.565243455206393,
      0.54897293440841,
      0.568276880080579,
      0.593803417700108,
      0.598368664799745,
      0.572341355174503,
      0.545446691397081,
      0.549232827262355,
      0.581788085174525,
      0.622103310760588,
      0.627840817515373,
      0.58319433735801,
      0.556644451657258,
      0.574866218359672,
      0.619259826999535,
      0.631683809527998,
      0.577082070158863,
      0.52372306163502,
      0.510266874653949,
      0.522669133771839,
      0.549832201490857,
      0.585592358484491,
      0.612079860709051,
      0.6063551448931,
      0.590201442647777,
      0.59686773945225,
      0.610479250896078,
      0.59533074582543,
      0.561199124684687,
      0.548698124977987,
      0.560293923379755,
      0.580766729772421,
      0.604268755696545,
      0.614621515549561,
      0.591032312403098,
      0.555519689796604,
      0.548888184524782,
      0.576988461596986,
      0.612618744957069,
      0.616326974617575,
      0.6036457448496,
      0.610373073082882,
      0.632154056876564,
      0.648380193789683,
      0.64129130070283,
      0.612211272993013,
      0.588080540795598,
      0.588885782408208,
      0.616419887817177,
      0.636051650285759,
      0.614175604179724,
      0.592157097889713,
      0.6016883414926,
      0.628865699675797,
      0.648094991979027,
      0.646780502436231,
      0.633274221927031,
      0.621024372799178,
      0.612877415874331,
      0.612282057402882,
      0.597746488100859,
      0.575500196064218,
      0.579834284819595,
      0.606718836239343,
      0.620244202253785,
      0.589589935977392,
      0.545584859310581,
      0.541475124216775,
      0.569762735096074,
      0.599432848760605,
      0.600094446824363,
      0.567852796316724,
      0.550360525027937,
      0.565127949047508,
      0.596651768605662,
      0.616572771457467,
      0.593586594674539,
      0.555961629127887,
      0.553075088876377,
      0.574662100444619,
      0.569612408872875,
      0.51613428258951,
      0.4737315615351,
      0.492293914736591,
      0.55102809637791,
      0.592412349139682,
      0.585964897753181,
      0.578458323844602,
      0.601642221822262,
      0.625224912936116,
      0.616074409008052,
      0.606261852707939,
      0.61982184418146,
      0.638762731398764,
      0.631267591776572,
      0.605074112856129,
      0.591058636955565,
      0.595947096556828,
      0.610808301670762,
      0.617781086481538,
      0.604746543979708,
      0.585064216109038,
      0.575480257874364,
      0.577200039312532,
      0.571589589099004,
      0.562917196205318,
      0.576148454631312,
      0.603781318707413,
      0.611492822394522,
      0.576739581086585,
      0.546415691589668,
      0.554740329815597,
      0.583243493648225,
      0.599224178622287,
      0.578961287650987,
      0.545129193351985,
      0.544883319943758,
      0.57599971228497,
      0.614745484254849,
      0.628537815867982,
      0.593215763532718,
      0.55785752042517,
      0.560668937496367,
      0.588552954133758,
      0.59012685674227,
      0.533666329039065,
      0.475466749658009,
      0.45960636111958,
      0.482632906272306,
      0.520824748827251,
      0.536430472129821,
      0.522915712278603,
      0.505254078637461,
      0.488331159372777,
      0.457664363050141,
      0.406344805965783,
      0.339647158932535,
      0.272267910018004,
      0.0905211208971716,
      0.151460386773981,
      0.241574028678626,
      0.36697340592225,
      0.462696581982495,
      0.47146543604765,
      0.426703078083837,
      0.369192757769955,
      0.334552265859471,
      0.325581891584937,
      0.341001794022488,
      0.375195013106231,
      0.425646814041981,
      0.474857413607091,
      0.486067594376301,
      0.460592216377525,
      0.435270020836527,
      0.431116794705106,
      0.447061470439039,
      0.454352291330633,
      0.439657271899044,
      0.427476180510652,
      0.434131571858845,
      0.458816263065336,
      0.482842835181664,
      0.479155560586836,
      0.455320091118685,
      0.436837618308792,
      0.437000477649994,
      0.45254390786775,
      0.458107582715537,
      0.436682254875887,
      0.413050861805715,
      0.423317394772118,
      0.473088102600643,
      0.511445212551982,
      0.491601251565667,
      0.465673622838308,
      0.476851689297962,
      0.511198354057239,
      0.539442221184256,
      0.54562352584208,
      0.523500751789416,
      0.487331607128461,
      0.479634596793953,
      0.506959548435009,
      0.513097139075595,
      0.4772701133418,
      0.45430342546785,
      0.471811540474993,
      0.512867232948902,
      0.543306398055647,
      0.547221748882188,
      0.52314690652747,
      0.474803724062048,
      0.435893443376834,
      0.426086970387304,
      0.429003275838179,
      0.434205040633971,
      0.444126361891243,
      0.457266427691847,
      0.465425243437503,
      0.458527994612893,
      0.454259907509228,
      0.458819062000471,
      0.456844459120582,
      0.441643345915138,
      0.422794252732879,
      0.415288602713146,
      0.424257528309081,
      0.443827082388024,
      0.468984991289736,
      0.485549178703968,
      0.472735454874395,
      0.456777531117854,
      0.460315074347126,
      0.47999686209335,
      0.481524771537306,
      0.440711744157274,
      0.39611341586476,
      0.373287781313243,
      0.371021634962693,
      0.391440952783336,
      0.429773668657717,
      0.465018495604608,
      0.478763483105771,
      0.480164180536754,
      0.479222339146849,
      0.467719659172465,
      0.440773376593365,
      0.412591875344133,
      0.398014139023421,
      0.399245994463606,
      0.419145281935079,
      0.453619594474738,
      0.481328181694051,
      0.484968873036774,
      0.473553175435389,
      0.467729364796761,
      0.478899817248219,
      0.501455299814895,
      0.500818513033205,
      0.476399869504666,
      0.466029479699709,
      0.478376885546,
      0.499140879850849,
      0.504342700386278,
      0.479441524181901,
      0.448610871693747,
      0.445297645359926,
      0.484231874564619,
      0.529535586364481,
      0.518317120536408,
      0.479197940305149,
      0.462750180047011,
      0.472004009737973,
      0.493194579252159,
      0.507186096473116,
      0.499682757989813,
      0.476094481291345,
      0.455413783711106,
      0.457409582748514,
      0.462753717618544,
      0.454404983174618,
      0.452732101003326,
      0.464171304860772,
      0.471439470486392,
      0.457004371115944,
      0.43038493661579,
      0.422452941701121,
      0.43192537682897,
      0.440047950685164,
      0.435922906770262,
      0.425203839201292,
      0.426614581349505,
      0.439618320232389,
      0.456384659392452,
      0.471087823519946,
      0.46791942673445,
      0.44839795647251,
      0.440249516767404,
      0.44526177912788,
      0.441842690485137,
      0.428458946771904,
      0.431736859825586,
      0.47499802710103,
      0.544521471895267,
      0.58845510283514,
      0.573771665001934,
      0.545914057232585,
      0.543577697451048,
      0.545243454130818,
      0.515053741710591,
      0.475692873998964,
      0.461720662643515,
      0.4730411736152,
      0.475967350171631,
      0.456858135528433,
      0.438925934627469,
      0.438263903167761,
      0.453648574952161,
      0.470742363566036,
      0.464179173040042,
      0.429108357108758,
      0.393608574951515,
      0.387061775261843,
      0.408394716931147,
      0.430037146474134,
      0.440977628474914,
      0.451301625980713,
      0.459927035613009,
      0.451177472781926,
      0.437665861695583,
      0.440005017464206,
      0.450170021184781,
      0.44926143660744,
      0.430443273916584,
      0.413206036192693,
      0.419345693041822,
      0.440243070655836,
      0.461862586191614,
      0.4747208222529,
      0.466720453177636,
      0.4519689090553,
      0.452073284301724,
      0.471098779368245,
      0.489537709576858,
      0.474499589216293,
      0.442249431344917,
      0.422837355969879,
      0.420059113590796,
      0.428020354892197,
      0.439488443208918,
      0.445744553934169,
      0.440374947757641,
      0.416792678279871,
      0.377068414050833,
      0.329943998041778,
      0.277494542789599,
      0.23118756122874,
      0.048016630921339,
      0.0934260112224496,
      0.165798771338691,
      0.269904001816175,
      0.358988252513478,
      0.391449788992969,
      0.388495701822028,
      0.361405451505385,
      0.336510632862345,
      0.322953961085752,
      0.321681690037982,
      0.338113960130928,
      0.376916148386887,
      0.420439342446914,
      0.428606773848888,
      0.399502124839265,
      0.370107765045978,
      0.364406433752349,
      0.384563629254748,
      0.403185936052742,
      0.396105398617474,
      0.378875480831211,
      0.375234017704174,
      0.393989157877029,
      0.418963090637311,
      0.415850785972714,
      0.387213229036446,
      0.362199389034045,
      0.360422146761395,
      0.383932965656001,
      0.404813344218205,
      0.394819901307134,
      0.376006039165732,
      0.388325610292824,
      0.440984800967703,
      0.482043857930792,
      0.45777560582659,
      0.418447902624469,
      0.414019581470637,
      0.435626319068679,
      0.457595814427126,
      0.468381789486373,
      0.462617527003684,
      0.440377589813383,
      0.432704710928949,
      0.456139059743836,
      0.466355277747668,
      0.435158002192359,
      0.406136575987398,
      0.411253923258507,
      0.438399684003731,
      0.459929076806385,
      0.47025167984738,
      0.470957980701419,
      0.450760451263665,
      0.42062473809233,
      0.397630907421845,
      0.378846068326133,
      0.366636878694324,
      0.370101275614151,
      0.386207507648406,
      0.40113677108055,
      0.399460722413317,
      0.393963995190168,
      0.396885873938149,
      0.399647181810451,
      0.394291826394469,
      0.37889878434873,
      0.361648882739089,
      0.357745423195406,
      0.369927618312852,
      0.39555011746942,
      0.420677182457384,
      0.417966888907139,
      0.403297539693414,
      0.400707958169061,
      0.412369513770641,
      0.416903306382936,
      0.39415046102341,
      0.363470299071408,
      0.342102528002884,
      0.331663766438951,
      0.336417893399503,
      0.353975415269223,
      0.372548616895998,
      0.383665787244001,
      0.389694224177039,
      0.392815633250862,
      0.39106763645879,
      0.38387354281914,
      0.370080364419141,
      0.353249267639896,
      0.343317655924021,
      0.347641655946397,
      0.364128480626928,
      0.37986614820195,
      0.385456006884935,
      0.388578884818304,
      0.398402410513141,
      0.41699083071432,
      0.430465156023825,
      0.412030393741029,
      0.378551083179932,
      0.368258633183981,
      0.385442480128508,
      0.412698020874849,
      0.421420183667607,
      0.398333761322772,
      0.367862446350908,
      0.363420727895187,
      0.398444604825472,
      0.439106478544152,
      0.427746803520629,
      0.389321225630787,
      0.375286640531355,
      0.391068460381346,
      0.418344678144266,
      0.43037344515965,
      0.417669777119206,
      0.392919274316609,
      0.374486293896445,
      0.376075710549828,
      0.381943612877868,
      0.375993694083731,
      0.373961389175159,
      0.384200687840474,
      0.396511271293955,
      0.394037758469355,
      0.375383516408027,
      0.366478886926674,
      0.373680773621183,
      0.385245515381064,
      0.387225084084931,
      0.373526660992456,
      0.362915048965981,
      0.366478824564616,
      0.380251030606212,
      0.398345344173521,
      0.405971463911055,
      0.395759737133839,
      0.387792982225198,
      0.389661807478158,
      0.390462121419575,
      0.385440721477336,
      0.390112648070576,
      0.430211879073284,
      0.500533916628546,
      0.548134866157772,
      0.535867160389535,
      0.509705042961194,
      0.509166654198717,
      0.516373502746814,
      0.497659291756914,
      0.467106775552328,
      0.453452206746766,
      0.460060340314604,
      0.45888032132284,
      0.436160184051302,
      0.415710445460432,
      0.413853852968262,
      0.428849865817464,
      0.44476186549941,
      0.435816838945812,
      0.398011825043443,
      0.359409927782507,
      0.346037262503554,
      0.352731117233383,
      0.357609254196473,
      0.361629871924994,
      0.374327724070082,
      0.388335802653159,
      0.384365267041114,
      0.370963777696283,
      0.370424310058447,
      0.381597325903108,
      0.391287497470795,
      0.385442801632412,
      0.366896666609382,
      0.35948597860751,
      0.3694502840779,
      0.390614878326116,
      0.413140927297891,
      0.415570478514941,
      0.401659275190928,
      0.392967093916927,
      0.397486233410013,
      0.419489771623807,
      0.447609899111979,
      0.457258490148065,
      0.439608508768943,
      0.399613025454467,
      0.371902871234947,
      0.388163983896357,
      0.427124393807303,
      0.442150965229166,
      0.41568332073834,
      0.366050035527277,
      0.313856350277338,
      0.264409465897145,
      0.226695237120055,
      0.0406411090424443,
      0.0845063939780157,
      0.155840849571626,
      0.256689780778009,
      0.338157911687854,
      0.368135944172112,
      0.38501308130691,
      0.398394266626201,
      0.413680982992606,
      0.414901313230538,
      0.393006503736292,
      0.3728308349585,
      0.377967571274009,
      0.391152669293904,
      0.378621778532465,
      0.3501185197347,
      0.337861906953954,
      0.350243928194753,
      0.373705306985783,
      0.386347980275976,
      0.378853358624105,
      0.364966817431171,
      0.361215907323434,
      0.373543809905069,
      0.382828289523362,
      0.36548159891506,
      0.33927061142075,
      0.331586854996442,
      0.346505587011784,
      0.370853380916648,
      0.386348696107393,
      0.381261255772846,
      0.369469623314508,
      0.374995204866062,
      0.404607741800498,
      0.431303352127243,
      0.421703302724234,
      0.39989126058244,
      0.393206974271581,
      0.39548556707036,
      0.399642108427987,
      0.410865364989915,
      0.424809509035866,
      0.427589693336895,
      0.426090462595273,
      0.433178466811153,
      0.431257121342664,
      0.407680941876734,
      0.388450317489086,
      0.387969343552597,
      0.3932019561773,
      0.393648289771275,
      0.403618742555534,
      0.429794446466524,
      0.440694738959072,
      0.420780548021432,
      0.392832203410945,
      0.370460674371014,
      0.359981446722102,
      0.366300503884399,
      0.383856851047736,
      0.396651288337636,
      0.390119384928532,
      0.383478560009348,
      0.388204812672691,
      0.392661715928312,
      0.39012707608708,
      0.378134990915026,
      0.360553499291212,
      0.353267404637735,
      0.361969073939434,
      0.383616419942417,
      0.404000602759622,
      0.400740265344451,
      0.391120049044469,
      0.393732233097392,
      0.409694373082277,
      0.418507931582778,
      0.388125957242986,
      0.344905788789304,
      0.321540656364156,
      0.316066278362827,
      0.318503883666388,
      0.323092577624825,
      0.333666337850421,
      0.350496147396902,
      0.366772788374429,
      0.381925909015179,
      0.391783069885678,
      0.381628240683534,
      0.353192036356865,
      0.332495625142519,
      0.330181552398152,
      0.334986609842796,
      0.338586206367249,
      0.344107910807397,
      0.352880576508339,
      0.362678532547437,
      0.374380577580774,
      0.388122245636514,
      0.390536878051755,
      0.369977863525905,
      0.352655254379039,
      0.360328456030213,
      0.38191708668573,
      0.398785835070838,
      0.398282223184189,
      0.38397525094479,
      0.36840955548745,
      0.365477670094347,
      0.380612564780871,
      0.390985734688609,
      0.373960913940061,
      0.356755855345324,
      0.36416685526345,
      0.387349625248383,
      0.404903851590803,
      0.403008286704934,
      0.388208239788296,
      0.370145897963097,
      0.355624994861593,
      0.354146553438332,
      0.358689154644861,
      0.357989370208753,
      0.359785630573378,
      0.370714330787895,
      0.384534011004179,
      0.381931899520125,
      0.361209975983869,
      0.351196454817944,
      0.358455702461138,
      0.373256417263417,
      0.382657404970177,
      0.372932899291559,
      0.359170730881782,
      0.358765964397234,
      0.37136379020062,
      0.38993746248296,
      0.39700602923676,
      0.386430998368697,
      0.37880342051119,
      0.381252572092415,
      0.383472908788969,
      0.374768211677781,
      0.371501063986566,
      0.405202388992204,
      0.47188093210075,
      0.51980692366618,
      0.517546809373954,
      0.507484502031038,
      0.515511140525348,
      0.520101997370236,
      0.498926707513741,
      0.472963925857062,
      0.462585716779853,
      0.464682010429732,
      0.457849768383734,
      0.434861246827133,
      0.415559757791654,
      0.410572428325988,
      0.417617185132473,
      0.425804732524074,
      0.418611640769195,
      0.39114955431355,
      0.361897927814077,
      0.352205331771459,
      0.356437820210279,
      0.357850158039174,
      0.360478424406403,
      0.371824809087242,
      0.38299637575855,
      0.374625166835505,
      0.357707298103897,
      0.354877021625521,
      0.365546164068538,
      0.380682111416996,
      0.385174207610618,
      0.37175343115824,
      0.361945616677887,
      0.366779025477428,
      0.382175088065095,
      0.399483397184019,
      0.400190395470643,
      0.389097986155787,
      0.384912214987542,
      0.388015129779949,
      0.389552456593229,
      0.385808006718694,
      0.379527166224161,
      0.375196969988705,
      0.37196839569476,
      0.380024795814655,
      0.394645971158111,
      0.392931186987377,
      0.37430938204218,
      0.351530131090952,
      0.329336409231417,
      0.302976099903798,
      0.271236306469128,
      0.243406745468077,
      0.0398541542610892,
      0.0846019015358379,
      0.15987958713172,
      0.268528254916649,
      0.353252590255245,
      0.376642117668416,
      0.390360691003581,
      0.413085924573188,
      0.445281735410094,
      0.462028105751811,
      0.447231387811337,
      0.424388327418451,
      0.42039157804528,
      0.417031066489104,
      0.389332175155894,
      0.361016897679786,
      0.36125456123358,
      0.3829557239127,
      0.398178472293917,
      0.395436439567549,
      0.381994142376875,
      0.36848064666069,
      0.36612822559528,
      0.382561410542557,
      0.396168373321541,
      0.379108584254157,
      0.355868762194927,
      0.359067199447431,
      0.381826589275809,
      0.396291849589147,
      0.395416774546609,
      0.390186147887641,
      0.391436631907982,
      0.399286744341734,
      0.41056368766736,
      0.421496648182,
      0.423051284446524,
      0.42048497547483,
      0.417838743098447,
      0.411891610606547,
      0.410058033274792,
      0.420329902150778,
      0.436007316837187,
      0.443470729446281,
      0.439227048392249,
      0.43119381306764,
      0.423186382080813,
      0.414683820474861,
      0.412527161202829,
      0.414219944254298,
      0.411543620180637,
      0.405159320306028,
      0.410126192653038,
      0.430074469349712,
      0.435772828887967,
      0.416020971893681,
      0.39446165476094,
      0.379830424180157,
      0.370807120292449,
      0.374797235505411,
      0.394053876456275,
      0.414327735078365,
      0.412340149010166,
      0.400101920796678,
      0.397259533013504,
      0.401386470641681,
      0.405419787235839,
      0.397870362254644,
      0.378401653970047,
      0.366754445959709,
      0.373591315948456,
      0.39909632650686,
      0.42538346579145,
      0.419760617848314,
      0.398147521378691,
      0.391672191672863,
      0.412687908247688,
      0.43896421259089,
      0.416545837896861,
      0.368807630354239,
      0.344734631014933,
      0.346621780812872,
      0.356264053484411,
      0.36168088775446,
      0.371562347734138,
      0.386915631921829,
      0.39585763772245,
      0.402103798208836,
      0.409120050654016,
      0.401783526129961,
      0.376773355559081,
      0.361180754098492,
      0.366673018342897,
      0.375253228830198,
      0.377062603280724,
      0.384172403329549,
      0.396385675021323,
      0.399978749190379,
      0.399221899114241,
      0.407362019579614,
      0.414318699059075,
      0.399161760755173,
      0.381444436183774,
      0.384752471903085,
      0.402248746358114,
      0.415551380483138,
      0.414765252304516,
      0.40701373973197,
      0.402895997339334,
      0.408406206656072,
      0.42087931117841,
      0.417932228268985,
      0.392194478408096,
      0.374181711293141,
      0.378941659390719,
      0.396925937977029,
      0.41021196690144,
      0.40906419829789,
      0.401011267013516,
      0.393568158286838,
      0.388292639882893,
      0.388007857356112,
      0.386891655460358,
      0.3803938433533,
      0.377687284597141,
      0.388235767748068,
      0.408274429899928,
      0.410934093173733,
      0.386790165383903,
      0.368318814800232,
      0.368776520875181,
      0.382350792550251,
      0.39523159975511,
      0.388579453469329,
      0.37314966432212,
      0.369405169256792,
      0.384607827131397,
      0.411965674630419,
      0.422176938191993,
      0.402500845762208,
      0.383196931333139,
      0.385457827729674,
      0.400051974427687,
      0.395364002347007,
      0.376571961603735,
      0.390277503061156,
      0.447993645512596,
      0.5034927868159,
      0.517822197112514,
      0.522172217812834,
      0.535005183310462,
      0.532962352650689,
      0.500038716891339,
      0.465170634263423,
      0.449150879990075,
      0.450259061317912,
      0.448917410718525,
      0.431211500877591,
      0.410212322550086,
      0.400896782301418,
      0.408188825463845,
      0.420931814730894,
      0.414571640431138,
      0.38587411007265,
      0.362759887912488,
      0.365620546142324,
      0.381190692174839,
      0.384533519299131,
      0.382528754698668,
      0.394093044240986,
      0.412854655567927,
      0.410450054960932,
      0.388614406409474,
      0.374303813967809,
      0.375604743643589,
      0.387974978411586,
      0.395932728058731,
      0.38566573186803,
      0.37407554734462,
      0.376316397476348,
      0.395081213032446,
      0.419981182890153,
      0.420091878680552,
      0.397655535937669,
      0.386477620975327,
      0.394972111996779,
      0.398167056382109,
      0.373305391988929,
      0.346870969174698,
      0.347757419273942,
      0.371478621709546,
      0.393759627807068,
      0.387714879756941,
      0.349587235579474,
      0.313400096966342,
      0.298919681968601,
      0.293782266577498,
      0.282566177521555,
      0.259054371928848,
      0.228011882263518,
      0.0507799253561909,
      0.100476903879961,
      0.181033904612504,
      0.295304371744384,
      0.384888166881168,
      0.409799415479834,
      0.410918316696866,
      0.403526523792537,
      0.401222541046078,
      0.404395995743213,
      0.413548888910733,
      0.434801725193261,
      0.471847823910515,
      0.492618591269627,
      0.4720706617403,
      0.442726357390083,
      0.440282366512445,
      0.458375610772356,
      0.467456981440593,
      0.457322704665166,
      0.436322422021846,
      0.418430351722312,
      0.416523132233208,
      0.440274955341198,
      0.467003191670037,
      0.462593017101383,
      0.447768645220015,
      0.454690057553236,
      0.473560049602245,
      0.476711673121254,
      0.462874507182473,
      0.44608965719573,
      0.442697871551245,
      0.455584199246391,
      0.478873924216838,
      0.498858203203842,
      0.496896529323271,
      0.485363503037762,
      0.477317877046483,
      0.473904021140118,
      0.480351068603067,
      0.498033209341486,
      0.518956682024338,
      0.530662515357128,
      0.525107732228972,
      0.511059586030802,
      0.498606783819394,
      0.486021444583977,
      0.475561726271511,
      0.468745489766564,
      0.466836901732832,
      0.467389178348244,
      0.470777894471504,
      0.474177425673594,
      0.46657783250949,
      0.452458420281696,
      0.438052853378173,
      0.412470532096177,
      0.386562047166837,
      0.393944043654464,
      0.440761419341765,
      0.484598693652768,
      0.4692679786452,
      0.424614790879764,
      0.41057930873713,
      0.440534929040011,
      0.48049086692137,
      0.471754289704467,
      0.418533517218234,
      0.383433334582834,
      0.397303811093663,
      0.453583358806545,
      0.50099270581119,
      0.476368750329168,
      0.421528588101855,
      0.401723120921815,
      0.434243553810869,
      0.485459509254021,
      0.486984265364269,
      0.452386406078504,
      0.428721353120113,
      0.422882303504945,
      0.424908000138611,
      0.426747600716672,
      0.436924638064628,
      0.4524505813308,
      0.450680991441521,
      0.437522715808215,
      0.436230444945683,
      0.451077789724777,
      0.459240420994946,
      0.455514999894026,
      0.454596760143555,
      0.45190342505173,
      0.445123842410123,
      0.450473086422493,
      0.46616486612104,
      0.467744973337009,
      0.456700913140734,
      0.458620245152229,
      0.478085591336364,
      0.477594359962433,
      0.449297348429354,
      0.429309674102102,
      0.439652639015558,
      0.470026714563943,
      0.490307752303983,
      0.484152950187296,
      0.470636986013751,
      0.470440735617432,
      0.488531855509789,
      0.503238277426048,
      0.483461539422758,
      0.444848318787221,
      0.423129224474481,
      0.431256385581506,
      0.455319778512787,
      0.468741215173594,
      0.466073273915609,
      0.46016820303499,
      0.458806208890994,
      0.458771416581056,
      0.441483501908794,
      0.409368928846355,
      0.396764268404742,
      0.424248476587661,
      0.472176923834473,
      0.477816727355232,
      0.42621641554731,
      0.384280865506,
      0.389425630566016,
      0.434334925057006,
      0.471564833746146,
      0.450151269242701,
      0.40285925984235,
      0.387011716417168,
      0.42215972872256,
      0.48391052260315,
      0.499541198553352,
      0.447930028148746,
      0.399778406253852,
      0.398689776986847,
      0.423558029399893,
      0.418078318192003,
      0.386702384809849,
      0.391797107232406,
      0.449649057607244,
      0.506592133101957,
      0.511448275061218,
      0.501428863977012,
      0.511139852664668,
      0.526301901443102,
      0.517657696390857,
      0.496899217100695,
      0.484983531111433,
      0.487729427633284,
      0.487066140637058,
      0.465305734194005,
      0.439375451173418,
      0.429065344490844,
      0.439544044680833,
      0.456368311008906,
      0.448743254022949,
      0.419797591450668,
      0.405795087733847,
      0.417183238035015,
      0.422051005355126,
      0.399811535245719,
      0.390818482943999,
      0.428277653236251,
      0.479661475183749,
      0.473589919413003,
      0.4224500793063,
      0.393547979883699,
      0.409623510835227,
      0.451090744638422,
      0.464009798116215,
      0.426612387895094,
      0.389356610090901,
      0.39213688099048,
      0.438458162486271,
      0.489882544272552,
      0.480327231098881,
      0.426826125104423,
      0.400274988401035,
      0.418840796958181,
      0.442209929833058,
      0.428740953418971,
      0.408589264742074,
      0.40621200909135,
      0.405072789723867,
      0.387809837386351,
      0.365357788826749,
      0.351418813758257,
      0.347250790153806,
      0.341079491754789,
      0.323797194358302,
      0.295039303483248,
      0.254196448745374,
      0.205718910836935,
      0.0553265701034036,
      0.106087350351824,
      0.186402521456828,
      0.29997495519566,
      0.395691069593644,
      0.430459808502742,
      0.422786170719366,
      0.382283120647816,
      0.343877183556401,
      0.336844466080041,
      0.379218455645879,
      0.457747495678034,
      0.54782146140195,
      0.603396271675839,
      0.603620900703964,
      0.587648903104088,
      0.593040914279441,
      0.612256274179874,
      0.618516138345755,
      0.599476808464283,
      0.567108536863267,
      0.549220017707868,
      0.555488799229209,
      0.583885711178534,
      0.609103434939291,
      0.606002269504455,
      0.5939406331148,
      0.599852195780621,
      0.615750117587994,
      0.617951111367133,
      0.601205840913103,
      0.571963323095671,
      0.548489281125507,
      0.542427513519748,
      0.560054301107713,
      0.584813267519495,
      0.58430718561637,
      0.571122362794113,
      0.570411373579543,
      0.583227467621969,
      0.602412795280173,
      0.623082214102883,
      0.634996186315159,
      0.630981963880571,
      0.617561068242765,
      0.607727618336334,
      0.5939234917612,
      0.570746837737904,
      0.557328631172948,
      0.561928375235583,
      0.576248115772552,
      0.582718294659422,
      0.582203917438592,
      0.580782092611198,
      0.5728776740845,
      0.559919420687957,
      0.539708363571869,
      0.504261327691005,
      0.479803167771288,
      0.49992965231193,
      0.551566527774755,
      0.58001941004853,
      0.54209710211506,
      0.498541661857951,
      0.50481194884064,
      0.553886456259444,
      0.595860731554697,
      0.571138198493799,
      0.506322947002654,
      0.47804725464427,
      0.508329778804655,
      0.572962365529816,
      0.611771565053296,
      0.57021941864019,
      0.513716855561427,
      0.505410514584224,
      0.554056308905188,
      0.61597916748479,
      0.624683506216686,
      0.599654159407468,
      0.580127280387116,
      0.56512821180249,
      0.550849044588818,
      0.541465620596313,
      0.544385070916907,
      0.55227476123953,
      0.545134877360596,
      0.534958368773902,
      0.545199645690885,
      0.579542751087349,
      0.60506989096905,
      0.603503118574993,
      0.589578670128649,
      0.57071189090757,
      0.555211381606364,
      0.553280921475284,
      0.558189612370275,
      0.553275240638288,
      0.546308068572225,
      0.555658212220242,
      0.585090320170882,
      0.594759138497588,
      0.569888212032283,
      0.550218552943704,
      0.562227291284702,
      0.599419862861493,
      0.623776353982568,
      0.608755094752267,
      0.581135569024573,
      0.570900247877196,
      0.588257502303228,
      0.612485992929176,
      0.599514776949096,
      0.560632487828215,
      0.540502931994884,
      0.556068737763043,
      0.59232076082798,
      0.611961619073114,
      0.605396504212159,
      0.593399128272211,
      0.585941582911106,
      0.58116370759821,
      0.551967805727434,
      0.505963227638655,
      0.494579506093665,
      0.532635518549081,
      0.578008898864495,
      0.562668685370167,
      0.501162530116329,
      0.47778407169484,
      0.51516999896553,
      0.582038273336042,
      0.613580634956126,
      0.564534129534728,
      0.501070801420488,
      0.488352006969375,
      0.531827902122461,
      0.590333200375184,
      0.589751878728815,
      0.53012222645955,
      0.490215090978929,
      0.49755732604332,
      0.508463276755749,
      0.478031300520397,
      0.43558256580234,
      0.440129314735304,
      0.485796618202641,
      0.513332713602232,
      0.490606387521153,
      0.466035322222765,
      0.477605796180796,
      0.517791312420671,
      0.547832883863251,
      0.565052673419482,
      0.587035292598109,
      0.620145510721357,
      0.640760348480895,
      0.624297227238843,
      0.597450037018574,
      0.588522404518245,
      0.603309536879386,
      0.62518551509338,
      0.621326039549832,
      0.588445775884889,
      0.555784801253183,
      0.537685672892864,
      0.513724188015833,
      0.482971071438169,
      0.486794692502568,
      0.53647762430065,
      0.582290065833864,
      0.554614369624499,
      0.497828987223257,
      0.487773785849284,
      0.530763933352447,
      0.582132528011728,
      0.5760291578089,
      0.515258570602225,
      0.479470697567167,
      0.501491061365446,
      0.563031071801231,
      0.611152887307083,
      0.580749672115823,
      0.513766799488689,
      0.486785299280674,
      0.506144437104756,
      0.508354148083715,
      0.463796058289024,
      0.432601690050847,
      0.436648222127946,
      0.44181468707249,
      0.429759602759571,
      0.42041980476088,
      0.419742162262048,
      0.411714532993652,
      0.387409335225926,
      0.351257486609931,
      0.308156865933832,
      0.257294760776943,
      0.203452667069295,
      0.0543118670800708,
      0.108063476300137,
      0.191090546263333,
      0.305374953243681,
      0.396626588051059,
      0.424046826384242,
      0.411688606085023,
      0.370628788498856,
      0.33870194430921,
      0.338772096857845,
      0.38326978034504,
      0.459315750938304,
      0.542613072921763,
      0.598357245005108,
      0.613593084375481,
      0.613146618100124,
      0.619933493326737,
      0.628233619312391,
      0.627599589336001,
      0.610858581012851,
      0.585064620850831,
      0.578625328955728,
      0.594916425107706,
      0.618237224776988,
      0.624904234622711,
      0.616052091842675,
      0.614611700740655,
      0.624812139225083,
      0.631667615861413,
      0.625503710990319,
      0.60837107606708,
      0.577913662199457,
      0.548972786109752,
      0.54017777587042,
      0.560190174905733,
      0.57952143551397,
      0.567737873130328,
      0.557131735038177,
      0.575768846972785,
      0.609111857896144,
      0.630197285752316,
      0.631641838935501,
      0.61425427959635,
      0.591152894302035,
      0.585533782192808,
      0.600183510534894,
      0.596444839801139,
      0.56538747751719,
      0.553163003659786,
      0.576529820151522,
      0.612751004331844,
      0.626168325954365,
      0.617932205200438,
      0.60509732522609,
      0.58783209298773,
      0.571701833294973,
      0.563238823275083,
      0.557845373532417,
      0.562831143991948,
      0.588734315628183,
      0.618033349492256,
      0.620239799840341,
      0.582108927662475,
      0.557179933528438,
      0.567991518689016,
      0.591063392308098,
      0.596903543023717,
      0.571516298685631,
      0.542660739142725,
      0.546721723580262,
      0.581165984914104,
      0.620621660327803,
      0.631094071581776,
      0.594006179543999,
      0.565336682515743,
      0.573961333663543,
      0.615335261659032,
      0.643895750732195,
      0.614037444216051,
      0.571390348708414,
      0.554814829294462,
      0.555220832999424,
      0.559654911579879,
      0.562486484380049,
      0.557114068429649,
      0.537865347962425,
      0.520401766325897,
      0.526131935512259,
      0.550565027481719,
      0.573047797563216,
      0.577324223849466,
      0.573869806689295,
      0.574417591871173,
      0.57631102863585,
      0.578080881291427,
      0.572100730727587,
      0.552461360755053,
      0.541232219128894,
      0.55724193074764,
      0.587512313554069,
      0.603888860898021,
      0.585145737617655,
      0.561859111673774,
      0.567497063645063,
      0.596437131698653,
      0.630625140546295,
      0.637138643598579,
      0.604822473669506,
      0.576536958472697,
      0.581144690932116,
      0.612590827996274,
      0.628765487814074,
      0.599409579093937,
      0.568290254699316,
      0.569761852697119,
      0.598175618610612,
      0.631852406814407,
      0.63791658313719,
      0.616330953650523,
      0.597352173648154,
      0.589680363456923,
      0.59154340133242,
      0.579831122068184,
      0.561445145192525,
      0.568579987252133,
      0.598701532800305,
      0.616602517048056,
      0.586266556592008,
      0.537628140928416,
      0.533623769655883,
      0.571612991528455,
      0.610438418879304,
      0.613261103150053,
      0.577542411548142,
      0.557172292287438,
      0.571748706356414,
      0.603716873385655,
      0.623586606261632,
      0.602743242148688,
      0.562780590659847,
      0.549727665574911,
      0.55651889089598,
      0.534572097562662,
      0.482292737085332,
      0.452513114667162,
      0.471782790480895,
      0.507499445606468,
      0.511069055866972,
      0.482750421263243,
      0.471574068804665,
      0.496425794856063,
      0.531779528444091,
      0.541287431596181,
      0.547353140980393,
      0.575950046631039,
      0.617689592263699,
      0.638162097654728,
      0.628625476998465,
      0.617989953000438,
      0.62000071304529,
      0.631859594493423,
      0.637980522123539,
      0.62349450428282,
      0.592896597464368,
      0.561333278130118,
      0.545224888727551,
      0.540890713903518,
      0.548086224183733,
      0.575475745050827,
      0.611862801859346,
      0.624451780131943,
      0.585866574702099,
      0.547314358821853,
      0.551793544852672,
      0.584828248784415,
      0.606842027882584,
      0.586065962248429,
      0.543782977129047,
      0.536274780197131,
      0.567226713924952,
      0.607243974637485,
      0.625112879977271,
      0.597171502981871,
      0.562456107992948,
      0.557345088354981,
      0.571356535860731,
      0.551007051598688,
      0.483345320872473,
      0.430846794840236,
      0.425574430203035,
      0.449261479786245,
      0.472316387551555,
      0.467407792321694,
      0.431487448586626,
      0.391243793516006,
      0.359649424506421,
      0.327082249557613,
      0.285659208959443,
      0.239240154658876,
      0.200338778416712,
      0.0583774502111889,
      0.114231039771898,
      0.198683665041782,
      0.313361510965986,
      0.40067327945004,
      0.423588082879683,
      0.420853747888288,
      0.407558013830545,
      0.404538870994309,
      0.401161976335402,
      0.392302143622973,
      0.396277869347478,
      0.427465016567153,
      0.469561486730828,
      0.483879328493497,
      0.468315105771856,
      0.452852280271844,
      0.450000857962468,
      0.459705297549259,
      0.463288286037541,
      0.448139645643046,
      0.437040364695489,
      0.444499273926731,
      0.464748553846867,
      0.477314688814371,
      0.470782963497597,
      0.459896174360686,
      0.455415847536202,
      0.458786821914181,
      0.467632442253946,
      0.470281023521433,
      0.453491313052254,
      0.433178528057066,
      0.433344495516102,
      0.458815330150932,
      0.477913769093323,
      0.466442605744465,
      0.464030135515429,
      0.493728576826142,
      0.532365371793578,
      0.54891981213884,
      0.539528517789623,
      0.51304492254159,
      0.482173706792242,
      0.46852881420776,
      0.475057045650471,
      0.470957175435458,
      0.451716613884627,
      0.456481821312782,
      0.494563818986362,
      0.537939738147755,
      0.551891324489805,
      0.540755926164446,
      0.521799563256207,
      0.4942025648007,
      0.46853843379241,
      0.460994870231561,
      0.463819969038429,
      0.465503289640467,
      0.469829632748621,
      0.475714501356066,
      0.481289322309305,
      0.481609646329513,
      0.486832543290939,
      0.495620364910817,
      0.492874382451218,
      0.478108595940969,
      0.465518580086921,
      0.461642428974235,
      0.467601669580747,
      0.479062859656726,
      0.491463203196508,
      0.498011580241399,
      0.486441453806416,
      0.478169191078293,
      0.486169617970479,
      0.507569242467817,
      0.510865817590032,
      0.464356280110634,
      0.40674276855853,
      0.375152689913983,
      0.37406702997835,
      0.398056002294033,
      0.432600400125492,
      0.455223007550904,
      0.450342863056175,
      0.436785482046895,
      0.435229405238716,
      0.440116848800393,
      0.43378170795395,
      0.411855566073283,
      0.394736226919528,
      0.398995115401523,
      0.423676193754508,
      0.455940465861531,
      0.473843041118147,
      0.464499112185004,
      0.451616854942036,
      0.456683402854308,
      0.47573836396391,
      0.48777686753841,
      0.468492974947349,
      0.442185256349889,
      0.443075278058972,
      0.466261066440609,
      0.49087757338166,
      0.492764115651107,
      0.467290506460563,
      0.447435228622718,
      0.455561414413317,
      0.490524920536739,
      0.510606970329297,
      0.478758441692356,
      0.44213046868306,
      0.440673360372936,
      0.464240877973489,
      0.489441949039745,
      0.495644119377354,
      0.48437092327565,
      0.469723728036139,
      0.454425017602603,
      0.451474591697333,
      0.456207046074834,
      0.461296674855562,
      0.471077251315742,
      0.483471121869158,
      0.489836836236668,
      0.484207232511238,
      0.472105375453983,
      0.47166655486147,
      0.477999780685988,
      0.4766808995686,
      0.466721392441845,
      0.454585397963519,
      0.455842068470305,
      0.467804657087111,
      0.478176085835333,
      0.479733190598028,
      0.471405568189105,
      0.46180267208717,
      0.464702048878482,
      0.469234580227577,
      0.44735472567148,
      0.411740282968011,
      0.404209373898394,
      0.439521077162191,
      0.492619872826672,
      0.520470100287424,
      0.513466335520096,
      0.514558764189416,
      0.537987263828369,
      0.546169088212073,
      0.507518626858552,
      0.466041168232539,
      0.461543935649694,
      0.479065880384459,
      0.47667352772471,
      0.454470805286807,
      0.439766847254106,
      0.440846478098305,
      0.453164533287591,
      0.463677682087242,
      0.457101173843284,
      0.435586159655758,
      0.417583589854211,
      0.422216785525589,
      0.443152149070398,
      0.459345078197751,
      0.467513080484134,
      0.47298183872746,
      0.474659657232759,
      0.467316907212598,
      0.46310062242342,
      0.472071844061604,
      0.482584999762474,
      0.480648911481684,
      0.468795428757197,
      0.459094200028753,
      0.464893212168398,
      0.478408290925669,
      0.488036112200224,
      0.490493829785479,
      0.481971799957405,
      0.474834214750044,
      0.480608843594123,
      0.495201749035088,
      0.496805445085394,
      0.46104885197479,
      0.412656330121968,
      0.388199507990076,
      0.397523731642102,
      0.4196160442326,
      0.417308116273983,
      0.39166250792572,
      0.373232784262373,
      0.360218084385926,
      0.331817335494268,
      0.285339977481112,
      0.233329224596481,
      0.191976177943443,
      0.0520211002496009,
      0.102277002280806,
      0.18066220489465,
      0.289282189554543,
      0.371795699408996,
      0.397912871717408,
      0.417142664002857,
      0.437524113795479,
      0.455040513729469,
      0.442459525419865,
      0.396444362926226,
      0.357602949834157,
      0.361028313911587,
      0.396446228857199,
      0.409007873493397,
      0.383307491151647,
      0.356133063069043,
      0.353994968040141,
      0.378595032479657,
      0.399061038634212,
      0.389173021391722,
      0.370395715036188,
      0.369749139087216,
      0.391263419195464,
      0.412535062412185,
      0.403695813901694,
      0.374483420450024,
      0.352212432395832,
      0.354957674028825,
      0.381993656641604,
      0.403591838431412,
      0.395012366190713,
      0.377112388090808,
      0.380255586110023,
      0.406603433275984,
      0.42176343336902,
      0.399876724385063,
      0.385611003206233,
      0.411571599829117,
      0.459553326773763,
      0.491059968416747,
      0.489373488732778,
      0.466039964096335,
      0.436689576287296,
      0.419289661421266,
      0.41921229327985,
      0.410619214855073,
      0.383614525509992,
      0.374578817776886,
      0.404659585480379,
      0.455180272785031,
      0.483766284493601,
      0.478756761079093,
      0.459956311714664,
      0.434422770989024,
      0.410525063417278,
      0.396091136724439,
      0.382353394314304,
      0.367736291107483,
      0.364929908035672,
      0.380235066146576,
      0.404272018644991,
      0.40938920926559,
      0.402013448635341,
      0.400597096583163,
      0.403239389556851,
      0.402959226011169,
      0.392198658050216,
      0.374616553876265,
      0.365734479674837,
      0.373523769438168,
      0.399053779704548,
      0.424237620556106,
      0.418050756216391,
      0.401806598490078,
      0.402529203611351,
      0.420072080998309,
      0.424537912147726,
      0.389350234958127,
      0.343443586713688,
      0.311123288535331,
      0.300506261864577,
      0.318082148156705,
      0.357693403726986,
      0.396022767852679,
      0.406297933857328,
      0.396443944765235,
      0.388786640483591,
      0.386343474538701,
      0.377491944353948,
      0.353725554698348,
      0.328125964828178,
      0.320535754112512,
      0.338863568819669,
      0.376437922385099,
      0.408393161913833,
      0.410261929150489,
      0.397697149924067,
      0.397245393312375,
      0.415058375104016,
      0.433226288712041,
      0.418966396352577,
      0.388261811130162,
      0.380645489359523,
      0.398977705127324,
      0.422997600197952,
      0.426165260439487,
      0.401550489183366,
      0.376268260320421,
      0.375462969999512,
      0.406587570159296,
      0.437793021761494,
      0.421927794859381,
      0.387856880548011,
      0.380103209447157,
      0.39727091016255,
      0.418715009662957,
      0.424691358144983,
      0.412329353373244,
      0.389247394436675,
      0.366397704995776,
      0.365373744489416,
      0.377177789787684,
      0.376453584433219,
      0.370275806229219,
      0.37665562412327,
      0.397349558515008,
      0.408782103280222,
      0.394054497511818,
      0.379480246733226,
      0.379391911395045,
      0.388606391236524,
      0.393305538830136,
      0.379188921999517,
      0.36283099034891,
      0.361055246975028,
      0.375664753411337,
      0.399754871008361,
      0.408999432804478,
      0.395591199213034,
      0.386383445535082,
      0.38888232208967,
      0.386092978332588,
      0.374390936186979,
      0.377948063766316,
      0.418770646631259,
      0.485963692419309,
      0.534391819260882,
      0.536692781970397,
      0.529082605097278,
      0.534533155248124,
      0.529553642475456,
      0.490430817453402,
      0.446136129635875,
      0.427861233069234,
      0.431840984511755,
      0.424605603369195,
      0.398250690207731,
      0.379114967545241,
      0.381775118875407,
      0.403204126040551,
      0.423956578217185,
      0.416343348694832,
      0.381923006979595,
      0.354811093530692,
      0.356783229596252,
      0.37008804689858,
      0.367819111205404,
      0.361882698855271,
      0.371934531897083,
      0.39483797573475,
      0.402287824028783,
      0.389865501474015,
      0.381328292636738,
      0.38395334334543,
      0.393769663678432,
      0.397642185207682,
      0.384744109567442,
      0.372938480875242,
      0.374555443967102,
      0.39140461016195,
      0.413519457072418,
      0.413571994751047,
      0.398699608848707,
      0.397372004571159,
      0.418456228116627,
      0.439837890296331,
      0.428845250931119,
      0.404865410699234,
      0.387879915026278,
      0.374584667740863,
      0.365999293040228,
      0.376023208189735,
      0.409237753660378,
      0.435804533840752,
      0.425926142564366,
      0.380851030620674,
      0.318446827816232,
      0.252776763243718,
      0.190572034920055,
      0.0392836793257604,
      0.0822646105902551,
      0.15452900267312,
      0.260044988688227,
      0.341546451997554,
      0.363097620614752,
      0.377929057831887,
      0.398895273336715,
      0.41672008674298,
      0.40962526044901,
      0.380250522441099,
      0.358204628917397,
      0.363443685627739,
      0.380374975464235,
      0.375027968365311,
      0.348725135287193,
      0.330772253859428,
      0.337190081971532,
      0.36106757781837,
      0.376940321023275,
      0.366617825193598,
      0.348135746100575,
      0.343993430708427,
      0.359795873674121,
      0.375394477345382,
      0.36331286134248,
      0.335853111215033,
      0.321577597005106,
      0.331292221840392,
      0.356522916927033,
      0.375207499158079,
      0.371948792309206,
      0.362973042375342,
      0.369626115277036,
      0.396177008741966,
      0.415925392026331,
      0.393233638437585,
      0.359045341513435,
      0.355888465103043,
      0.385965644388683,
      0.422613418145401,
      0.439172062032201,
      0.437426942472254,
      0.429145297626518,
      0.424802328007139,
      0.427540462958225,
      0.416095345005389,
      0.378308516967994,
      0.346072705102524,
      0.347473183452735,
      0.379533731222822,
      0.409484125386845,
      0.416878977094565,
      0.414391675493738,
      0.403688722006472,
      0.386556023737593,
      0.374796836403486,
      0.369059833249204,
      0.36727527998503,
      0.372131079171719,
      0.385691209504231,
      0.397461578764398,
      0.391462524289441,
      0.384932640151181,
      0.391779025471949,
      0.399879378094525,
      0.397037439324448,
      0.383229130637507,
      0.369832249785697,
      0.367731293554707,
      0.377158754093864,
      0.397546659900324,
      0.415877142336582,
      0.407040487840943,
      0.38972183778278,
      0.389505265857014,
      0.409207047978815,
      0.424201991380992,
      0.398292928519764,
      0.350953914501857,
      0.312588329214782,
      0.293546506237288,
      0.298459550593198,
      0.321475050182456,
      0.348503990112027,
      0.362088775782475,
      0.366661231959199,
      0.380617632869579,
      0.401413487202681,
      0.400277825010821,
      0.362556494153077,
      0.321422566812101,
      0.306882092962875,
      0.31695221557487,
      0.339744835544143,
      0.360397759196367,
      0.363066095717542,
      0.357064405955502,
      0.362556792280475,
      0.382396695338781,
      0.396880890500844,
      0.382657446293963,
      0.362237101213534,
      0.365335138532238,
      0.387220555037723,
      0.40865189143656,
      0.407653499441643,
      0.383094675826919,
      0.357742311917561,
      0.353232319534352,
      0.374109012112914,
      0.394843359025383,
      0.384337452150241,
      0.366498333492357,
      0.372352252548454,
      0.396131192719847,
      0.416293226895419,
      0.414344085077992,
      0.392435956174936,
      0.363988596695711,
      0.344395380507621,
      0.348440499572522,
      0.365140029637651,
      0.371219615280087,
      0.37069409849165,
      0.377310982522195,
      0.389348106434097,
      0.386320435232239,
      0.365580736265644,
      0.357632719402918,
      0.368912076275656,
      0.384786730267379,
      0.39078869498331,
      0.382403768947827,
      0.374456194258221,
      0.375555307688889,
      0.385400740377818,
      0.402153840718534,
      0.405600902294365,
      0.388121580600307,
      0.375831436049607,
      0.378828183204385,
      0.388051412006548,
      0.394482994676085,
      0.403269405557991,
      0.431215986891626,
      0.477725063005165,
      0.512007778749481,
      0.513350908939931,
      0.5052552300681,
      0.508959151841964,
      0.510229078961583,
      0.487179152522547,
      0.456162934693109,
      0.440505730178632,
      0.441129247282192,
      0.431473443867739,
      0.401485417296312,
      0.381219151911748,
      0.387116964872779,
      0.411837526958564,
      0.429104284404754,
      0.413575614609173,
      0.374884704328338,
      0.346834653736212,
      0.350141975294084,
      0.369498195147223,
      0.376335689506162,
      0.375678864595659,
      0.383734243779126,
      0.395263150746297,
      0.387570255471865,
      0.369133802924218,
      0.364862323087388,
      0.374191328750334,
      0.384098446243336,
      0.381149050592053,
      0.368680909501254,
      0.365822280493971,
      0.375340763095663,
      0.392094607628387,
      0.408962628245801,
      0.406329728556416,
      0.38961407430865,
      0.384634542827336,
      0.400232011194018,
      0.420306378995044,
      0.430023989951132,
      0.434257289100172,
      0.432527675699747,
      0.418395661725312,
      0.412709103103764,
      0.437135162371137,
      0.47196867608923,
      0.480640637612799,
      0.454710042208562,
      0.405347236250057,
      0.343766666996104,
      0.274081024089374,
      0.203454610614733,
      0.0390481185902886,
      0.0813487828041407,
      0.152453376212164,
      0.257084141516995,
      0.339853111088287,
      0.356477707715101,
      0.347418355228699,
      0.334207408384156,
      0.329382274139209,
      0.333738106525082,
      0.347829931966756,
      0.370581017582101,
      0.397448605063239,
      0.404149437948316,
      0.37694687282907,
      0.344748502413175,
      0.339818670856991,
      0.361890525017944,
      0.382301221911623,
      0.380240366416296,
      0.363967486874735,
      0.353669569512792,
      0.35619574343159,
      0.370686488590169,
      0.379002731726539,
      0.360032621533054,
      0.33517326507164,
      0.336862174556867,
      0.361208490064684,
      0.378877124986403,
      0.373003930166502,
      0.352779225011602,
      0.341091449333784,
      0.346864927147463,
      0.368714586352698,
      0.391262696770435,
      0.38510447120908,
      0.365848610468518,
      0.362954091269191,
      0.379897378987148,
      0.405071590295023,
      0.421531701332375,
      0.427308333591842,
      0.427474798229483,
      0.42506470007003,
      0.421940203388569,
      0.408406484178667,
      0.379797409062499,
      0.35812019562338,
      0.358366126551258,
      0.37758053197771,
      0.394989815530666,
      0.398841812563562,
      0.402361540062797,
      0.397739108569688,
      0.376735471637113,
      0.355284595847077,
      0.348799421053923,
      0.358771310682477,
      0.374745432381664,
      0.388369243208992,
      0.391978729203912,
      0.384407580973435,
      0.381744276339316,
      0.389950336397458,
      0.394810067026729,
      0.385794085672495,
      0.368395910800065,
      0.359648587161109,
      0.36772739439835,
      0.384231310688059,
      0.401483933847903,
      0.408371912415202,
      0.394038790867316,
      0.379073358771446,
      0.382584277631872,
      0.410859159156457,
      0.443951657265479,
      0.42541813564006,
      0.36799875042542,
      0.322877517361836,
      0.308604080372467,
      0.321205217619799,
      0.344670011220085,
      0.365306989070886,
      0.368255535988617,
      0.361630196558388,
      0.375305441660637,
      0.410767795142738,
      0.423979878662514,
      0.385088905345027,
      0.338175015696343,
      0.324922858403258,
      0.33793249035824,
      0.357548208427948,
      0.373231480670391,
      0.371929893586821,
      0.357601421660121,
      0.351830447740452,
      0.364765436432509,
      0.37971314379176,
      0.374951436625923,
      0.369840115245893,
      0.383574849542839,
      0.406147786175452,
      0.418335055662722,
      0.40990211974661,
      0.391156230819462,
      0.376181485402855,
      0.37650740530108,
      0.391421762374785,
      0.397871970507525,
      0.384691747197698,
      0.379127049282334,
      0.395387002317247,
      0.418046026581745,
      0.425311797466887,
      0.411165111564816,
      0.390602102485705,
      0.374116175601857,
      0.363145849611233,
      0.355807561277432,
      0.351936446130579,
      0.357214884356262,
      0.371159613737297,
      0.386251461792429,
      0.393043731247028,
      0.384365626873846,
      0.371345242510267,
      0.371860020723987,
      0.380604215580619,
      0.383009457156872,
      0.373584993969266,
      0.361177241251427,
      0.36084996109721,
      0.371739472642345,
      0.386462622772785,
      0.398724620403783,
      0.396320817561482,
      0.380392294875318,
      0.371409349076523,
      0.379971433135818,
      0.399021473267939,
      0.410239319992466,
      0.412147439151854,
      0.430115823693486,
      0.468890434504392,
      0.495547268238748,
      0.4905196965512,
      0.482637883264643,
      0.490656258921245,
      0.4983325086138,
      0.480063836438969,
      0.450024777499002,
      0.433850709922602,
      0.438138765874064,
      0.435959745694765,
      0.410845025427436,
      0.391280570399028,
      0.394105551830651,
      0.412246656471099,
      0.420649320283967,
      0.400359348816169,
      0.361964450379716,
      0.331459000289151,
      0.326237564993199,
      0.34274233516941,
      0.362846358331512,
      0.377998413965784,
      0.390134600458447,
      0.392087979158206,
      0.376843104384064,
      0.365458714505239,
      0.372656943203129,
      0.38525674845772,
      0.384879035652052,
      0.36984928711059,
      0.35983202196871,
      0.367882331245194,
      0.385061555837434,
      0.399986730947929,
      0.404915969839751,
      0.393072222863351,
      0.377934287479487,
      0.377382800195862,
      0.388496183744066,
      0.398388155293409,
      0.406417832588897,
      0.412671084761316,
      0.416880312162231,
      0.421263593128045,
      0.434548501981726,
      0.442900784764388,
      0.422186927507898,
      0.389830117438063,
      0.367117380259532,
      0.344910776459379,
      0.309622547441378,
      0.258544321025703,
      0.202773996926779,
      0.0439621480456943,
      0.0967508805784026,
      0.182485081005641,
      0.298909572681841,
      0.37962322964239,
      0.388428402118192,
      0.371940236333378,
      0.342841955003727,
      0.323565376813104,
      0.326370522802753,
      0.352456093387079,
      0.395742610568,
      0.447312077675302,
      0.466149091209154,
      0.429750667674771,
      0.386486831367295,
      0.38603782660879,
      0.420364426934118,
      0.442652125783004,
      0.430940037174562,
      0.407936545276245,
      0.399605085240091,
      0.409214902337874,
      0.434283906133849,
      0.447342869267641,
      0.42039215846026,
      0.388443465448483,
      0.396190158822991,
      0.431822652584018,
      0.447627340274217,
      0.425649406250798,
      0.389860745030908,
      0.378852445120249,
      0.395266415622381,
      0.421115997412076,
      0.435529882178123,
      0.427903265138707,
      0.423697928980927,
      0.435099077049013,
      0.453255670054331,
      0.466231440335496,
      0.465086552808536,
      0.456638697213033,
      0.45805066483705,
      0.464965081739252,
      0.463342816109132,
      0.442583004265645,
      0.416352348612445,
      0.411460715567138,
      0.428251533932534,
      0.451218392682202,
      0.456290645673783,
      0.439919272063599,
      0.421323359440867,
      0.407869433244401,
      0.402335607253347,
      0.403575758011094,
      0.397008781643065,
      0.385292598596145,
      0.38859012635119,
      0.411765500776825,
      0.434348892558729,
      0.425639014650791,
      0.40039512680874,
      0.388910909886568,
      0.397247472061809,
      0.411326329302741,
      0.404616139696837,
      0.381274357544575,
      0.372679555024013,
      0.388627730686663,
      0.422040835687651,
      0.449997228607832,
      0.438381276325818,
      0.406227877589656,
      0.390321895676072,
      0.40838817692838,
      0.439374118113511,
      0.425500214631388,
      0.382533607707079,
      0.357319750567115,
      0.361743494009918,
      0.388556573724869,
      0.41980336002731,
      0.435433786798761,
      0.417704136092208,
      0.384989691078419,
      0.375980215049268,
      0.396213305509884,
      0.415074914408268,
      0.404326561032306,
      0.386912167602886,
      0.392207708537357,
      0.41416607337942,
      0.435145915002572,
      0.441406988963905,
      0.422159996269713,
      0.395548456437126,
      0.390192542095297,
      0.415861778595386,
      0.446381208860134,
      0.442098501661872,
      0.420210986450105,
      0.415112884187439,
      0.430475107307233,
      0.44785400772257,
      0.448235382453263,
      0.433051706367725,
      0.422711669462344,
      0.433227977510264,
      0.461061417084231,
      0.472766166966563,
      0.445088410223151,
      0.412922846944228,
      0.406815019011623,
      0.424268139969794,
      0.44240124669916,
      0.441527502589634,
      0.430068679851954,
      0.422643034620311,
      0.42152952033327,
      0.422502791480944,
      0.414592357470926,
      0.398890297680701,
      0.391064771487474,
      0.403491457731608,
      0.427898209658958,
      0.429089871837478,
      0.40002404371486,
      0.378522285103791,
      0.380051729581315,
      0.396965262224462,
      0.410784140331166,
      0.400935431674999,
      0.383298677739114,
      0.38132992611746,
      0.402225093074883,
      0.436329709502425,
      0.448245057516505,
      0.420234082995591,
      0.387122184640976,
      0.382552759416332,
      0.404678472653963,
      0.417093880516772,
      0.408228431406014,
      0.421258555636613,
      0.466953678772295,
      0.501898239840544,
      0.499247753032332,
      0.493895801087203,
      0.499136011358281,
      0.493758985774589,
      0.466322769591552,
      0.442851228320274,
      0.438491233912728,
      0.448028863610152,
      0.447369338991571,
      0.42752689037324,
      0.410736029424086,
      0.40887603755647,
      0.418093976480144,
      0.420393854400883,
      0.397484576313979,
      0.361556903565212,
      0.344170330459982,
      0.356827677977345,
      0.377291117964354,
      0.381102887768535,
      0.382959123397755,
      0.403679927308566,
      0.42922819714329,
      0.422451283547428,
      0.394607263153798,
      0.381450153148123,
      0.390602857569413,
      0.407532092718879,
      0.407575679959351,
      0.388182177098758,
      0.378005308385078,
      0.389532773088268,
      0.41727611773058,
      0.443565942714577,
      0.43838798844043,
      0.409545947944296,
      0.390223528898302,
      0.389688683495162,
      0.398768417147543,
      0.399693139633764,
      0.390000975065177,
      0.381441494244766,
      0.381352224249871,
      0.388207914390892,
      0.38645941510201,
      0.364456030127086,
      0.340630637289384,
      0.323600968942045,
      0.302582463760802,
      0.270226540147911,
      0.227265883291858,
      0.182938666694378,
      0.069915019050207,
      0.155679173543064,
      0.286093594532082,
      0.443455386814272,
      0.530467093110285,
      0.534513813129467,
      0.53449100604569,
      0.518174594055562,
      0.501477868576658,
      0.490282783964586,
      0.488004566588249,
      0.505535271224207,
      0.546095388722076,
      0.567193614174305,
      0.533962454480525,
      0.487797400634356,
      0.483229544288891,
      0.517469871943111,
      0.550862866284714,
      0.558126684768152,
      0.545899604980934,
      0.537079587240669,
      0.540586974717143,
      0.561711390911012,
      0.572229718968811,
      0.539318880520338,
      0.498695519946627,
      0.497472619052594,
      0.528491308653651,
      0.552741072066079,
      0.552404871037217,
      0.529393716540225,
      0.507700598291463,
      0.504374427100999,
      0.524109782655095,
      0.544675118154668,
      0.537975952101573,
      0.528689755804072,
      0.534606056903176,
      0.543212072000986,
      0.547651522071776,
      0.559017240953852,
      0.575407505188237,
      0.583004241647081,
      0.578162464982288,
      0.570684468018396,
      0.551847555908819,
      0.523237294184784,
      0.512298482417345,
      0.520888829807979,
      0.531728864062001,
      0.529851800383333,
      0.527244744444293,
      0.531343042271183,
      0.531881080738987,
      0.536910262649472,
      0.556538189441631,
      0.553367715795528,
      0.513480145067653,
      0.484573739353441,
      0.496058824293868,
      0.535735594024413,
      0.540695170019069,
      0.503478447089317,
      0.470607532346893,
      0.472375498940074,
      0.512181877585048,
      0.544179890176604,
      0.525037595314773,
      0.487810434926729,
      0.473935235190205,
      0.50214076563737,
      0.555289723640623,
      0.558501634856111,
      0.512911398942463,
      0.473225295929695,
      0.474256203700795,
      0.507074753286145,
      0.515497888551278,
      0.493882815307386,
      0.478092474841575,
      0.479368353292379,
      0.499453228396789,
      0.528534802700657,
      0.543190401262293,
      0.522612569149386,
      0.479752455439326,
      0.455708171802139,
      0.467761743624405,
      0.501513698347149,
      0.517605160211628,
      0.51185920915926,
      0.512002805872406,
      0.523964882670707,
      0.538910524580953,
      0.542102032323768,
      0.521209784041708,
      0.491995664260534,
      0.484102017693031,
      0.514146794368677,
      0.561623554456175,
      0.562073592590535,
      0.513226261657724,
      0.473991778892651,
      0.474343595733751,
      0.503127055861296,
      0.528458404415855,
      0.529934093657958,
      0.521313346311481,
      0.525317783827775,
      0.556672058292861,
      0.589513974992783,
      0.567717309570844,
      0.50909404343877,
      0.470505800481347,
      0.474265354186503,
      0.504346009695346,
      0.527902426980034,
      0.538326874098106,
      0.544849257304617,
      0.54690632147358,
      0.555045452096548,
      0.55935540719383,
      0.536009542970287,
      0.50100786795169,
      0.490740028509424,
      0.517127923305171,
      0.540404370523335,
      0.514630177169093,
      0.477456863803724,
      0.468154399318958,
      0.49694129245802,
      0.546840589099874,
      0.556713735259882,
      0.521491475985608,
      0.486735841098452,
      0.48604889171575,
      0.525053402639019,
      0.557016074774783,
      0.53067050747967,
      0.48117208568192,
      0.449174571800686,
      0.433476448526232,
      0.416630806878594,
      0.402047953289357,
      0.427893393520192,
      0.491056469787133,
      0.531747077533231,
      0.52389710132039,
      0.512042037745944,
      0.513744183325957,
      0.513268946696724,
      0.50254090074159,
      0.501933190243342,
      0.51803420703279,
      0.545136248808897,
      0.561857240800641,
      0.548336348047001,
      0.524300591509339,
      0.512771262882214,
      0.519419880233037,
      0.534410239153809,
      0.528990678110154,
      0.49998613635613,
      0.484274941643301,
      0.506952336059965,
      0.533903412016665,
      0.514306124961271,
      0.479058814720986,
      0.482753241341154,
      0.525657576380774,
      0.545507734329408,
      0.517179011054162,
      0.485044766402103,
      0.479980887805954,
      0.50616778248885,
      0.536273405999535,
      0.525810418058331,
      0.493382023541742,
      0.476398255889615,
      0.496076051431074,
      0.547575247514236,
      0.566443546188566,
      0.527597603053298,
      0.478280109535594,
      0.448505697689741,
      0.440022053964997,
      0.425586519514917,
      0.397918060162352,
      0.372280185845821,
      0.353526012404614,
      0.350724879387318,
      0.369997091109371,
      0.386886741326818,
      0.380106837819757,
      0.352211989423137,
      0.316971658336435,
      0.278048068075831,
      0.227883978784849,
      0.169071853137834,
      0.111073037459156,
      0.219720887858331,
      0.374901975771672,
      0.557316717081684,
      0.657597837176459,
      0.66088926355865,
      0.653917581896511,
      0.640660174445572,
      0.639726957363008,
      0.633178168504192,
      0.612173264171394,
      0.59914042073132,
      0.615229169395131,
      0.634218087744673,
      0.62401412670492,
      0.60491831570641,
      0.609120809630972,
      0.631496907046247,
      0.654892177686264,
      0.667779310820978,
      0.659554025423509,
      0.638360519179735,
      0.61996603694515,
      0.621847300027799,
      0.628857481950298,
      0.61558518162328,
      0.598125773437673,
      0.602929797182162,
      0.623457719442842,
      0.644990272529895,
      0.662303008621556,
      0.65713685609707,
      0.624588002393708,
      0.592520216821429,
      0.596490404811416,
      0.624417513738193,
      0.628238498533241,
      0.615871538086897,
      0.615688978967731,
      0.619311584814788,
      0.622909371876614,
      0.644472559727942,
      0.668524740878113,
      0.661397894183074,
      0.638237508008794,
      0.636371241960878,
      0.63897379876438,
      0.618303059647184,
      0.602191784106631,
      0.60595381041035,
      0.614613137302367,
      0.615972055706944,
      0.631628953083762,
      0.662917627402887,
      0.673058797532395,
      0.656428241645876,
      0.635323476106482,
      0.600503262206648,
      0.559050926229106,
      0.552433202182577,
      0.588377696444804,
      0.634175580007806,
      0.621789111281024,
      0.574466326640404,
      0.55055223154539,
      0.567561791298564,
      0.610861348900491,
      0.628673902363087,
      0.594272221379375,
      0.555761049799697,
      0.55321744156349,
      0.592121855761559,
      0.632142700901298,
      0.604177974050771,
      0.548943762392718,
      0.525409249617654,
      0.553842744856825,
      0.608206662176601,
      0.626608856481643,
      0.612984308924176,
      0.606624573064278,
      0.607361252491187,
      0.612469403710154,
      0.626989919063148,
      0.643982209622959,
      0.63534977206218,
      0.59320364716689,
      0.567102500118041,
      0.583143421734502,
      0.618837604343546,
      0.630018974216649,
      0.620405874186823,
      0.616004923191222,
      0.619990207217224,
      0.635297121589288,
      0.649475655996627,
      0.634162348752753,
      0.595427889579581,
      0.576169990307366,
      0.593890562646116,
      0.62496477708337,
      0.618877221936105,
      0.585681210977601,
      0.571866334144252,
      0.583919946939768,
      0.608046981040933,
      0.62532578569499,
      0.622762067251292,
      0.61214770817138,
      0.61147077550021,
      0.633348782922181,
      0.650814665322019,
      0.622047928372334,
      0.580865624720897,
      0.567711327671774,
      0.579831540965661,
      0.600447332437155,
      0.616835993297097,
      0.631904098163348,
      0.645896140013483,
      0.648236819785769,
      0.647465920250625,
      0.627126230482572,
      0.582729168503741,
      0.555716729862546,
      0.572537802233282,
      0.619241787032246,
      0.637392835771044,
      0.596265721466396,
      0.561471162760751,
      0.569613473052556,
      0.609669399223437,
      0.644652154770802,
      0.623123836022707,
      0.572654320713025,
      0.544252573949775,
      0.558702634524668,
      0.602812426930439,
      0.61372156220324,
      0.565527287312635,
      0.522861321483876,
      0.514912348319726,
      0.509417053801677,
      0.474562837537342,
      0.440680817702582,
      0.458968289550878,
      0.516463462318133,
      0.547024848984865,
      0.525898104615909,
      0.503501151417972,
      0.505515459179233,
      0.51776593070984,
      0.526379603924151,
      0.554070133335691,
      0.606787959153023,
      0.666953236192391,
      0.700907175573577,
      0.690299898712639,
      0.66773451796753,
      0.661863404395449,
      0.678554652758341,
      0.703060373794653,
      0.70165807658762,
      0.671162545172455,
      0.641626177808408,
      0.631137116027984,
      0.611876590546436,
      0.56741734906079,
      0.545252867619724,
      0.573791707784514,
      0.623449665285095,
      0.622771795555798,
      0.578336666253931,
      0.554649953537139,
      0.573311684444842,
      0.617180404402795,
      0.640652257005656,
      0.609808647389102,
      0.569818442388134,
      0.560511190814973,
      0.589532593468744,
      0.631566667130157,
      0.619295122098789,
      0.562254613643966,
      0.521222441824445,
      0.508096586303639,
      0.488062753828592,
      0.436094875387014,
      0.393131564296452,
      0.387564055572505,
      0.39631553560233,
      0.406548288067303,
      0.422654862936115,
      0.425805372012268,
      0.400147455385556,
      0.355486334447432,
      0.313139127041346,
      0.273638644562171,
      0.221219750305854,
      0.163140573633326,
      0.109632667354621,
      0.200114113379125,
      0.327434349902652,
      0.485426428327073,
      0.576171519976535,
      0.55982033506121,
      0.515459577707272,
      0.492990799856962,
      0.505523664500247,
      0.510224387465613,
      0.489142814836731,
      0.471283019587305,
      0.488168671839887,
      0.524281281163282,
      0.543581932716535,
      0.542466350388056,
      0.539462803807321,
      0.539453631669583,
      0.545553422803049,
      0.55089132215925,
      0.536741703415147,
      0.513953817761332,
      0.502830491462456,
      0.511497345919595,
      0.525958928553054,
      0.53360833107851,
      0.537520326592434,
      0.542331366466521,
      0.545421261905266,
      0.550338097798016,
      0.55639623651053,
      0.542044932359259,
      0.513460193605432,
      0.502429148407001,
      0.529230948190592,
      0.5621692951333,
      0.558834413569935,
      0.54781710322499,
      0.559048465306661,
      0.576107570695861,
      0.579364122443907,
      0.574071166383235,
      0.559872879738423,
      0.536108109522697,
      0.527302024470846,
      0.547697692765141,
      0.560355501493989,
      0.545967387978809,
      0.54040357596232,
      0.556408233278341,
      0.572978333098107,
      0.57118515247501,
      0.568829772511752,
      0.57476926364195,
      0.567555057964722,
      0.542462173276921,
      0.511980098221298,
      0.481839435377315,
      0.473528288092355,
      0.49658199068898,
      0.526922920792595,
      0.531804255512241,
      0.495502458569852,
      0.4670135760635,
      0.46908022609526,
      0.486637343903564,
      0.499522411773993,
      0.486422046422053,
      0.459573550927698,
      0.456706795518305,
      0.486390003168795,
      0.530938710997104,
      0.547292227909946,
      0.50892659770897,
      0.47617757311759,
      0.48114786718497,
      0.514160786725189,
      0.53424504075542,
      0.507181717555978,
      0.476493248761364,
      0.473402811974973,
      0.482883487264105,
      0.495850072125411,
      0.51743862073408,
      0.54737656109075,
      0.562152425175947,
      0.551483271329649,
      0.543721025046305,
      0.544990831456863,
      0.534878887036617,
      0.511641346226826,
      0.500559690117203,
      0.505846502854968,
      0.515769322658345,
      0.534131576031043,
      0.558954859533236,
      0.568304581352381,
      0.554605842192788,
      0.538845728725629,
      0.530412143261099,
      0.524090839498514,
      0.512055610426357,
      0.511458789263653,
      0.532461161976651,
      0.554683602757955,
      0.565295147078075,
      0.564169153957169,
      0.5513275172209,
      0.538458331344008,
      0.536139506975707,
      0.547971024220217,
      0.547818700572351,
      0.522014257273391,
      0.513721012116882,
      0.533802353530829,
      0.555997466866874,
      0.565417944344403,
      0.566760454638289,
      0.566430119033017,
      0.562981070593338,
      0.554634663882439,
      0.550935897996419,
      0.528365612418657,
      0.493010102404124,
      0.49019101256571,
      0.520482569555546,
      0.544407730099916,
      0.520086856182292,
      0.468629701384015,
      0.452806495113724,
      0.477058070771416,
      0.512758926771763,
      0.522811345317566,
      0.49106859530896,
      0.465770868904588,
      0.474861456090205,
      0.507837199522153,
      0.535753068975433,
      0.520616253238342,
      0.477454609888817,
      0.460856066702846,
      0.474124144278859,
      0.478185555618106,
      0.453255024036461,
      0.436215440083054,
      0.462703506479429,
      0.516093493158548,
      0.546415211501428,
      0.530716919237686,
      0.5077643672655,
      0.505275422196886,
      0.505425320566329,
      0.486714232019156,
      0.485921438166559,
      0.520277056350772,
      0.561265528543063,
      0.570234560554075,
      0.552463246892715,
      0.540545258969202,
      0.540979294229815,
      0.550379671893416,
      0.558786732152752,
      0.551635348093465,
      0.532063887308006,
      0.513862951844312,
      0.505361376851327,
      0.490995322929261,
      0.474487456610528,
      0.484363518215621,
      0.516048126020544,
      0.53210407615348,
      0.49997046453887,
      0.461335730980445,
      0.460133002103832,
      0.488247955055552,
      0.514889415503341,
      0.506544623756707,
      0.470272375518453,
      0.459335048810776,
      0.484690307011643,
      0.52652219002409,
      0.547822903932763,
      0.514531082669887,
      0.470627121629799,
      0.462192940798463,
      0.482685817015496,
      0.475951792094808,
      0.413144348233251,
      0.35826204206544,
      0.362171552531256,
      0.408523398841354,
      0.450506908056872,
      0.449053941265208,
      0.408141515993387,
      0.367148661340392,
      0.336118527135134,
      0.302151972843059,
      0.25857093676687,
      0.204911707631502,
      0.156881907444722,
      0.0574452068708693,
      0.112773363069791,
      0.198831637559801,
      0.319324509544753,
      0.405193239503251,
      0.40772729446809,
      0.375649332380832,
      0.34222416610472,
      0.323470301758968,
      0.312892358509552,
      0.311369076420365,
      0.326175647780274,
      0.364747052155068,
      0.415665071375764,
      0.443489711827606,
      0.433490610753278,
      0.412251144542242,
      0.402613008644469,
      0.41235744173287,
      0.41998796398357,
      0.405167930143774,
      0.392261581582675,
      0.398336004531981,
      0.419350893978475,
      0.438927485596173,
      0.442568416110828,
      0.430769911063096,
      0.415485706977771,
      0.411151622137715,
      0.42236866482432,
      0.427972583063238,
      0.406671109547335,
      0.383342107899855,
      0.387976804893637,
      0.424337917480765,
      0.448783373149204,
      0.428484936982019,
      0.413955315145467,
      0.437892643162847,
      0.47748849083,
      0.496745414174273,
      0.486135890552816,
      0.456169955347705,
      0.423286866218202,
      0.413788123181995,
      0.432223152966692,
      0.435321591991954,
      0.412259185054031,
      0.407661786313123,
      0.437955506965728,
      0.477213589066168,
      0.489889889190736,
      0.479400591808257,
      0.460902471062343,
      0.432246820275325,
      0.409365878730364,
      0.404526823287082,
      0.402093529876355,
      0.398819387867185,
      0.405275004321124,
      0.421879971074881,
      0.435996988973618,
      0.430098512509699,
      0.421697582626409,
      0.420185390399731,
      0.413219906939105,
      0.398209343038101,
      0.383004063869995,
      0.375403921901792,
      0.381022642684324,
      0.39931858905064,
      0.427668711641316,
      0.45435302176571,
      0.450957237627796,
      0.4351450549558,
      0.429156295644492,
      0.433344560533482,
      0.426648371532037,
      0.391728444131469,
      0.359702769621227,
      0.344702637382053,
      0.341248790747221,
      0.351047470230469,
      0.377257475048239,
      0.415171680111466,
      0.447116285399715,
      0.460693273796638,
      0.455790869643725,
      0.434822403081899,
      0.404182257173137,
      0.379732005966717,
      0.367953559781078,
      0.365713394507212,
      0.373666745320272,
      0.396143833182244,
      0.428102395899099,
      0.455031748764517,
      0.468986449983785,
      0.468345249398356,
      0.455063876226447,
      0.437801221317391,
      0.419799461877386,
      0.410371679683993,
      0.419457243845515,
      0.438670390535761,
      0.455162634296905,
      0.452982530334804,
      0.426118030112702,
      0.397725968472097,
      0.388786152122836,
      0.40594390339671,
      0.426120604061546,
      0.417565492568176,
      0.403628688809883,
      0.409319457403554,
      0.427829629488227,
      0.447137981398172,
      0.454331082642422,
      0.443292427627149,
      0.418518895688971,
      0.395923903466812,
      0.40016366265056,
      0.412505695507203,
      0.408464437011831,
      0.406120716514694,
      0.418521493211962,
      0.432335572233229,
      0.424780644546836,
      0.399799444769685,
      0.388504876010896,
      0.394869097626155,
      0.403581752277745,
      0.404139832640556,
      0.393073057087456,
      0.388061766417065,
      0.396303217900174,
      0.413811350368781,
      0.437363160067555,
      0.448479341627743,
      0.434980977176718,
      0.419762617268936,
      0.414524099569273,
      0.404795264222395,
      0.384989221815925,
      0.37661933196527,
      0.405993029597215,
      0.463799871624624,
      0.508148202428441,
      0.513394939824035,
      0.504192842829336,
      0.501260158394231,
      0.490312206029832,
      0.456455165507987,
      0.428240005902856,
      0.422289726900589,
      0.430570755107057,
      0.427499040528811,
      0.411049804466967,
      0.401090131543226,
      0.401978473178881,
      0.410310778492189,
      0.418023665712213,
      0.409860475626984,
      0.38143342876855,
      0.35374325891515,
      0.354243025390982,
      0.377025832523984,
      0.392694918613077,
      0.397847631534092,
      0.408559217586599,
      0.424182407053104,
      0.421513823457259,
      0.407382974851607,
      0.404639348703596,
      0.411914315113254,
      0.413372967984181,
      0.399052194874878,
      0.380338009424889,
      0.381573887395894,
      0.400864180902238,
      0.425482472880445,
      0.447113821628428,
      0.446181806474193,
      0.428092394841682,
      0.419160821894849,
      0.428468146398249,
      0.424414022549553,
      0.380212079880349,
      0.33332617486503,
      0.324793593494339,
      0.356971017620792,
      0.398783138868535,
      0.415308847510892,
      0.406968962982546,
      0.396775348321605,
      0.377511996612239,
      0.331912031194178,
      0.267029451535493,
      0.200274837538054,
      0.14731533587745,
      0.0356933609091395,
      0.0782804932891043,
      0.147079061812662,
      0.246533601185337,
      0.330880526894629,
      0.362796288702358,
      0.36447336993596,
      0.341547857808267,
      0.315608410238889,
      0.299653529286327,
      0.302020362257341,
      0.322227195520148,
      0.355825486887316,
      0.387900122289594,
      0.394541321170908,
      0.374292235375277,
      0.35145642206337,
      0.342836380760624,
      0.353169819629755,
      0.36364984830634,
      0.355805582350497,
      0.347285333378028,
      0.353851605940093,
      0.37480685702884,
      0.391228952964936,
      0.383457813027472,
      0.360326645607416,
      0.340936768957198,
      0.33686057685593,
      0.349930242167502,
      0.360278418376828,
      0.349962374142575,
      0.3380226562218,
      0.349007107067998,
      0.385931105426322,
      0.410289252976344,
      0.391305949030403,
      0.371902559702677,
      0.38357037840562,
      0.411955937230607,
      0.429003835468822,
      0.427056482223985,
      0.414102574293296,
      0.395763017408336,
      0.388324406779625,
      0.397252960098303,
      0.392907992066298,
      0.36668487031295,
      0.356316507512629,
      0.37929892227731,
      0.413935821115792,
      0.427788181394859,
      0.424869367258059,
      0.419046209634309,
      0.404473451532227,
      0.39291734259069,
      0.392764756926474,
      0.386368507394777,
      0.371192330751619,
      0.369481742334709,
      0.385690284815049,
      0.402008813472296,
      0.39670851007176,
      0.387495466534885,
      0.38980812934426,
      0.393752249529157,
      0.394234949055861,
      0.387190835448971,
      0.374459972567854,
      0.369715721738816,
      0.380029896725885,
      0.403175081805877,
      0.423104735278971,
      0.411189295988543,
      0.39109556679388,
      0.389597834914809,
      0.405486503171529,
      0.407859607244621,
      0.373897850815318,
      0.340237619111855,
      0.321653727459812,
      0.310777386742258,
      0.309223258342763,
      0.32103949880083,
      0.343639805883755,
      0.36612796029381,
      0.381752169546617,
      0.385751648803198,
      0.376859651533304,
      0.361128669712556,
      0.346577383848282,
      0.333692522524309,
      0.325036800982752,
      0.324263852152542,
      0.334681531780275,
      0.352756250187507,
      0.368946869728487,
      0.385230576174906,
      0.399898518285563,
      0.408901627358982,
      0.407206514996568,
      0.383595856598735,
      0.354605148725129,
      0.34830563137493,
      0.370066064528509,
      0.406336527307779,
      0.419388134516519,
      0.391017935961311,
      0.353725621056055,
      0.342833286489519,
      0.366377694049725,
      0.396528575091265,
      0.388059625538315,
      0.35881090907019,
      0.350932918763529,
      0.372984924655609,
      0.409647430132337,
      0.424902415053661,
      0.404010914357551,
      0.366363570274351,
      0.340700277193877,
      0.34788494714559,
      0.367383360605836,
      0.369500594496873,
      0.367237316871097,
      0.377348566048453,
      0.394341482241831,
      0.397257791035275,
      0.379650145739817,
      0.368682382049955,
      0.375693451856063,
      0.38954711348324,
      0.39695655023691,
      0.383902634861192,
      0.369753245274194,
      0.369886591284874,
      0.382896380008134,
      0.402100058725447,
      0.406318509411311,
      0.389236420220073,
      0.375256908509857,
      0.375450674647699,
      0.3739911539564,
      0.357050090885507,
      0.34367398766201,
      0.372044612584441,
      0.436336589877982,
      0.482647939440879,
      0.485855883399733,
      0.482054064013889,
      0.489058631191714,
      0.488407164941669,
      0.470285122397727,
      0.455863634187937,
      0.446354709659259,
      0.437188755853383,
      0.418704302570687,
      0.394385960045127,
      0.382926094400049,
      0.386629365985912,
      0.398282945727304,
      0.402471890773415,
      0.382331309787341,
      0.34568707339522,
      0.322052313939064,
      0.332686403392161,
      0.358523323003276,
      0.367032102719114,
      0.367644666196384,
      0.379003763016693,
      0.393601077285557,
      0.385573104804434,
      0.367109075140382,
      0.364549728954295,
      0.37854451263465,
      0.394905700447742,
      0.396050816848899,
      0.378710623311587,
      0.36911766024331,
      0.378217105318921,
      0.399060113422418,
      0.421153374916264,
      0.417975712613837,
      0.397360047959307,
      0.390351795725195,
      0.408399860114727,
      0.419199080730007,
      0.403584539702829,
      0.392385237737203,
      0.390712643499388,
      0.377123148251407,
      0.354979000104466,
      0.357665466863513,
      0.389899893675933,
      0.40966936795195,
      0.38690717168368,
      0.328197470084238,
      0.256488527322662,
      0.190772013270554,
      0.138925947158232,
      0.0325199722375093,
      0.0748304757932238,
      0.143578579893643,
      0.240006077820291,
      0.319059245617375,
      0.351413505226664,
      0.36445682709775,
      0.362651360282886,
      0.363932376668503,
      0.365857108228101,
      0.363984994955397,
      0.36632240838218,
      0.379803092151183,
      0.385209460389595,
      0.36460227018642,
      0.337452178841107,
      0.32860858012123,
      0.33738738928871,
      0.350419589164815,
      0.355419069671858,
      0.348372637493253,
      0.341994401128098,
      0.34494225305504,
      0.359910071459341,
      0.367683550421289,
      0.349303827120151,
      0.325746133773206,
      0.320901069653376,
      0.331594533642335,
      0.345001554874739,
      0.352861437551691,
      0.351707840417945,
      0.348342444703685,
      0.354965039585643,
      0.377081830523597,
      0.395664132323132,
      0.387882354457474,
      0.37289688561191,
      0.367964092023963,
      0.368964704732141,
      0.375106808386862,
      0.389207838117006,
      0.402885236603908,
      0.401398041013574,
      0.394174433956055,
      0.393039575126107,
      0.388646698224153,
      0.372109016464187,
      0.359351708913034,
      0.359412587193339,
      0.365015084634414,
      0.369382325625055,
      0.378922847782221,
      0.394676516685362,
      0.394985413437891,
      0.378098526104134,
      0.361785429579867,
      0.351210074754324,
      0.349025630348972,
      0.36178304459643,
      0.38098466449289,
      0.385430723245473,
      0.36601378950362,
      0.353883780662107,
      0.364336531627718,
      0.380968769347345,
      0.385782823070906,
      0.370083087764643,
      0.34937289319254,
      0.347444621846199,
      0.364832610585326,
      0.387797389773448,
      0.394502716484629,
      0.371701125586906,
      0.353665121117678,
      0.363183251466215,
      0.396586803832032,
      0.414917137671844,
      0.377004053449236,
      0.327514742601072,
      0.304651418749026,
      0.29951427852302,
      0.298979549497197,
      0.299750141133338,
      0.306492847918032,
      0.316200032262764,
      0.327362446050633,
      0.342853316830761,
      0.355342988624513,
      0.350260090483519,
      0.329509391181856,
      0.315327611443652,
      0.315134928527833,
      0.317194645379332,
      0.316270094868289,
      0.317430795283262,
      0.319935564101974,
      0.326732643824452,
      0.341390540513288,
      0.362105201360451,
      0.376249784441566,
      0.366767695806245,
      0.350491204187115,
      0.350990064228068,
      0.368582027645674,
      0.392941232863205,
      0.399772906022181,
      0.378073677101882,
      0.34796651651601,
      0.337135564235099,
      0.353821915543452,
      0.375819734782776,
      0.37196119341726,
      0.356608739282805,
      0.357365665015622,
      0.376064765338683,
      0.399272720802209,
      0.402074236733494,
      0.378229005111243,
      0.346431370667072,
      0.32651545395512,
      0.328563625935782,
      0.339066496787357,
      0.344289141479642,
      0.353302225664755,
      0.370619883064788,
      0.382479565289009,
      0.36821813026244,
      0.34155943117694,
      0.336354825160158,
      0.352934020870307,
      0.371415090149782,
      0.373999647841496,
      0.353825812938341,
      0.337887529214961,
      0.343586338273384,
      0.364528465917454,
      0.383074865359013,
      0.376811903787251,
      0.353582603629464,
      0.342868095805224,
      0.351990717419052,
      0.365774287166486,
      0.370298330748635,
      0.370420241723101,
      0.395231461765312,
      0.441670691319965,
      0.458436718793277,
      0.437099195956194,
      0.43245425454178,
      0.464074667160934,
      0.502093140196335,
      0.507608840771038,
      0.490404705244993,
      0.46880114267841,
      0.451643970712477,
      0.432264087801126,
      0.404769516292158,
      0.387375646486758,
      0.388158256917527,
      0.401358513812104,
      0.407671533194328,
      0.387273717127149,
      0.349503015757574,
      0.322474877189223,
      0.322320249396959,
      0.334165079893511,
      0.340722737033093,
      0.351399777664493,
      0.369842383680271,
      0.378674585681686,
      0.360418380364919,
      0.341027745636734,
      0.344840439869474,
      0.364788499465209,
      0.381847017009879,
      0.377745861501416,
      0.356033782816849,
      0.347424008237213,
      0.360649842231917,
      0.381716372016296,
      0.390610080943934,
      0.371967934062452,
      0.349350507315152,
      0.350282413668859,
      0.38005028948909,
      0.410985601474751,
      0.420055431233763,
      0.427416322899685,
      0.435676680330388,
      0.419016044995917,
      0.37879098370885,
      0.348298430197507,
      0.343426482004464,
      0.340091550732508,
      0.317877559722591,
      0.275916537936595,
      0.222971490502892,
      0.171861376326737,
      0.132673339213741,
      0.0290099339733649,
      0.0697182948048335,
      0.138801482143021,
      0.237847681241944,
      0.317444110604719,
      0.345087234364578,
      0.358377681722252,
      0.371048599966135,
      0.396649583571734,
      0.417160240463589,
      0.415456136305509,
      0.405689818687315,
      0.406505706102999,
      0.397908796921705,
      0.363660373482009,
      0.334563286253859,
      0.33820392985725,
      0.3616642205752,
      0.373450738052166,
      0.364545269575971,
      0.347302939211132,
      0.338020497393474,
      0.34225834532655,
      0.361981150656362,
      0.373436861662837,
      0.35209600786745,
      0.329042201326092,
      0.336741296550262,
      0.361798576085644,
      0.371769478492296,
      0.368121096551282,
      0.370177211659598,
      0.375942897105233,
      0.37773193063247,
      0.38168197513214,
      0.391846701155683,
      0.391301193606905,
      0.379617764149573,
      0.372675421766305,
      0.374894270707051,
      0.389563826262909,
      0.410456747076216,
      0.420796849847093,
      0.412815763111781,
      0.40031469507929,
      0.396076843448614,
      0.39504484697456,
      0.384641145158965,
      0.374010231096459,
      0.371224495034709,
      0.37493718129354,
      0.381352347876638,
      0.388787109547676,
      0.398297706307808,
      0.394807645460449,
      0.378317605468655,
      0.368083618417962,
      0.364896295225704,
      0.364208981059733,
      0.37146418837258,
      0.386688633490176,
      0.399945553082157,
      0.392465768294584,
      0.377880070332204,
      0.376386890349362,
      0.3875234465786,
      0.398867065960416,
      0.391188879521557,
      0.370676063149049,
      0.363860136184558,
      0.375333834943874,
      0.397996277107595,
      0.416053342891565,
      0.405019940889705,
      0.386882015387304,
      0.385804403800495,
      0.409215250777991,
      0.424385971301868,
      0.382496665729977,
      0.327110680068256,
      0.305803783567795,
      0.311184373365752,
      0.321414429249517,
      0.325851980474181,
      0.330721006117927,
      0.33547015270389,
      0.340257137174773,
      0.351703949888556,
      0.361733555751937,
      0.352386500917002,
      0.330284110344359,
      0.323609201537661,
      0.333849603132261,
      0.341664973723023,
      0.340268336298151,
      0.33934047631499,
      0.33891473174866,
      0.337427678885791,
      0.342701207866971,
      0.362049864396171,
      0.38562288383204,
      0.38885301712386,
      0.376379748984599,
      0.370414660663759,
      0.374459983714378,
      0.379309931175091,
      0.375120566578469,
      0.363505051875217,
      0.354038699967505,
      0.355971930005113,
      0.374740428565565,
      0.396025306064967,
      0.39588378554724,
      0.381056354412838,
      0.373362007980094,
      0.375961268199757,
      0.377678989793744,
      0.369460209844907,
      0.359997042037847,
      0.358620649433996,
      0.359211538428274,
      0.36347814956784,
      0.368739250257205,
      0.368985609631034,
      0.369296196887684,
      0.378402087469506,
      0.396098304646309,
      0.401102880790785,
      0.383534688240843,
      0.369787287506472,
      0.369837612682071,
      0.377222686913715,
      0.382557059265681,
      0.371949026777186,
      0.361723983731065,
      0.364796788673348,
      0.381368780717358,
      0.403869389589763,
      0.409558327074624,
      0.390473744710066,
      0.370612520319396,
      0.370468949831775,
      0.386088565384889,
      0.400133154949832,
      0.399672651623349,
      0.41089077725991,
      0.442468852757376,
      0.458024747830741,
      0.444433600228782,
      0.441445608869352,
      0.471111084829301,
      0.509022818743283,
      0.509303161583955,
      0.476786595139734,
      0.440892331277826,
      0.423708515026486,
      0.417851639814186,
      0.399781814839934,
      0.379433232164776,
      0.375362420652065,
      0.390171891162082,
      0.404174900173463,
      0.391114542870037,
      0.356298824044375,
      0.33235496302477,
      0.340151026861338,
      0.362228546966023,
      0.370851808576976,
      0.371962821083102,
      0.382564132677043,
      0.399496430820485,
      0.399092843473292,
      0.383096346853993,
      0.370959592522697,
      0.369066470522152,
      0.375138402755239,
      0.380274523546699,
      0.373020911335601,
      0.367505324952119,
      0.372379866707907,
      0.387267454277511,
      0.404394646476023,
      0.399981469455752,
      0.382670622320647,
      0.375641977344002,
      0.387559226662816,
      0.407859650819174,
      0.414956266383587,
      0.406906700704592,
      0.399433700168274,
      0.397645370617802,
      0.395615019233305,
      0.377379589287366,
      0.33981214102595,
      0.303704423843056,
      0.275326266904109,
      0.243366115361509,
      0.204571262651122,
      0.163713023639514,
      0.130976983484461,
      0.0334779853950425,
      0.0782013176987416,
      0.153752937906519,
      0.260726483273951,
      0.341708419076594,
      0.361828138757314,
      0.362309592564509,
      0.356664822445883,
      0.3624103987133,
      0.376445926052193,
      0.387292944230845,
      0.398586010704749,
      0.422673056226107,
      0.436418558835409,
      0.418460037712004,
      0.395113232333974,
      0.398672890948661,
      0.419806023605883,
      0.428776287630534,
      0.423863511074944,
      0.409238276871629,
      0.390378070632284,
      0.37788939799288,
      0.388226553655437,
      0.407052624361961,
      0.403138084539054,
      0.394054576089504,
      0.406569579135776,
      0.427796232427782,
      0.432728608424539,
      0.430820534661976,
      0.427345560726124,
      0.419332543366576,
      0.413020981789121,
      0.421412713405783,
      0.435741068309963,
      0.424998854479656,
      0.404402232837283,
      0.402202223888622,
      0.420039451112648,
      0.445306690120149,
      0.465839803168473,
      0.471719235697173,
      0.467850362458262,
      0.464254250342088,
      0.463091987808522,
      0.448555945480458,
      0.415120285663004,
      0.392645314820088,
      0.397166683858662,
      0.420898535184292,
      0.43847847825377,
      0.437725215398295,
      0.427727777512055,
      0.417510600525024,
      0.415035624295098,
      0.414798072510341,
      0.396018346263696,
      0.370091953410611,
      0.373093389568227,
      0.412113321212831,
      0.44887974012553,
      0.429531296284349,
      0.38706951729004,
      0.380441270565617,
      0.418880481672938,
      0.461059977824638,
      0.448717150382687,
      0.394021214971368,
      0.359518329090227,
      0.369796389714462,
      0.418693127489564,
      0.463145056368571,
      0.44069863244116,
      0.391773279582547,
      0.378410512668059,
      0.413757947797273,
      0.450458794232943,
      0.425316740301904,
      0.380083435997654,
      0.359710265716566,
      0.359208375599559,
      0.365334329913312,
      0.373472070000913,
      0.388865339841339,
      0.401557123260425,
      0.397927141762424,
      0.387385082637863,
      0.382872847712694,
      0.385052495929051,
      0.38621129997073,
      0.387197757200462,
      0.392420988291433,
      0.395103101679956,
      0.394335100615248,
      0.400183731739978,
      0.40638338131768,
      0.403872619385345,
      0.399276323874454,
      0.411559332759024,
      0.442632661666136,
      0.453154719620066,
      0.424812236055124,
      0.391646188444669,
      0.382453091124896,
      0.397174600040635,
      0.416593536710419,
      0.423816976994026,
      0.423646590397739,
      0.427047145661492,
      0.447583557894667,
      0.47462963029409,
      0.468050729178202,
      0.42634693088647,
      0.389870295834049,
      0.380222241389933,
      0.389694422684325,
      0.401809981442742,
      0.415152290833847,
      0.430609890609523,
      0.43655189245767,
      0.434749553811611,
      0.418477702182997,
      0.388708609846537,
      0.372093792574156,
      0.391641001979374,
      0.433842925748131,
      0.43940791386948,
      0.392715722098207,
      0.35690276417691,
      0.363805301982859,
      0.403396543187147,
      0.435733394715993,
      0.418074978134402,
      0.378816452144395,
      0.363364102330859,
      0.389629502595919,
      0.441720938509408,
      0.456217420856247,
      0.410795468518025,
      0.36933058650557,
      0.372288062024255,
      0.397780471586899,
      0.399726732656168,
      0.37830226367853,
      0.3832731846103,
      0.428798395481842,
      0.475130108201983,
      0.479454087202295,
      0.462958938092243,
      0.462399131677679,
      0.478852984771904,
      0.480330155584485,
      0.460292405452044,
      0.437406904638085,
      0.434018680664157,
      0.438546281903309,
      0.421725183666781,
      0.395407658358151,
      0.383556013272745,
      0.39265900195512,
      0.409897213181607,
      0.408310115334975,
      0.387003224300084,
      0.377961675604485,
      0.395114229078042,
      0.405993509492562,
      0.384954728509801,
      0.370150718986375,
      0.397250656565376,
      0.441807492407225,
      0.438796847303458,
      0.39473198929737,
      0.367751157929311,
      0.379633367166976,
      0.414424765996053,
      0.42605850645043,
      0.393966636479503,
      0.361527558060746,
      0.36148620944389,
      0.398960023944412,
      0.445865253146516,
      0.440968095487811,
      0.396129046892407,
      0.372149677042772,
      0.383130242512625,
      0.400272588493822,
      0.390941784576621,
      0.362762591904704,
      0.337946878540555,
      0.334398745095147,
      0.357486019879759,
      0.383794284647797,
      0.381113500946983,
      0.357795113993802,
      0.32839452319359,
      0.290338406225724,
      0.243628512615158,
      0.18936235518282,
      0.134271946110109,
      0.0343487413170352,
      0.0794386492988889,
      0.155336888998748,
      0.264149473515425,
      0.349275395505119,
      0.371415438340494,
      0.364200182479786,
      0.337013357386234,
      0.312654559318661,
      0.309565354715639,
      0.339357408490997,
      0.395571110869946,
      0.473485598667006,
      0.534738753866018,
      0.541329488175611,
      0.519429526789495,
      0.516368285311513,
      0.533424836067894,
      0.541981294103671,
      0.535178980638974,
      0.512776614811799,
      0.484463908137314,
      0.468898373961313,
      0.495038598687635,
      0.54233542537228,
      0.549613514405256,
      0.525639724968137,
      0.519444537122782,
      0.534315814685811,
      0.543136192829218,
      0.540870530265738,
      0.521918448635373,
      0.497486399849761,
      0.486195595996686,
      0.501729061403842,
      0.517445475979197,
      0.493481360153553,
      0.465327009133488,
      0.466190122109583,
      0.491633112802153,
      0.52236768026696,
      0.548108152123086,
      0.558828068460575,
      0.557023572203885,
      0.555606891622953,
      0.558848887589262,
      0.53705968856697,
      0.486329142513367,
      0.455533484853351,
      0.462855085369099,
      0.494411759602568,
      0.513892610074157,
      0.513168471525671,
      0.503628946316465,
      0.489056552039724,
      0.4781115941803,
      0.46371297476926,
      0.430127410114224,
      0.401125943154643,
      0.413195849657876,
      0.46013037690206,
      0.493770795725261,
      0.463068217752006,
      0.417595108584608,
      0.419461224043819,
      0.469398688929844,
      0.518145355054377,
      0.498650767822545,
      0.432340880313542,
      0.397529011121031,
      0.419806641802227,
      0.48208992474093,
      0.523065594318091,
      0.480049448910289,
      0.420310525606971,
      0.416188544653857,
      0.476914104482853,
      0.545836625610119,
      0.546922413495477,
      0.516527068496153,
      0.499108175463478,
      0.488908409067817,
      0.479433245493684,
      0.4730412224104,
      0.476332261011858,
      0.480567906484802,
      0.471363949353697,
      0.463349913794506,
      0.474954719265238,
      0.504796585033388,
      0.525016785748299,
      0.524058551631702,
      0.515399378323237,
      0.502557398063894,
      0.491482255028275,
      0.491963159111205,
      0.494171750139536,
      0.484617178558969,
      0.47196941048358,
      0.479069217038295,
      0.512850996743495,
      0.525193012159428,
      0.494668949606454,
      0.464883640818676,
      0.466481986245477,
      0.498327911803363,
      0.532909902951048,
      0.540050183572793,
      0.525871094643968,
      0.514123768827594,
      0.527487015246271,
      0.551100570500039,
      0.535939933834712,
      0.49014765704639,
      0.460408709196973,
      0.465370570926744,
      0.496674126277445,
      0.526297589412739,
      0.538982126989735,
      0.538420030514103,
      0.528705020684577,
      0.518060593776778,
      0.483904833183533,
      0.431501629791572,
      0.410861616717265,
      0.440954030017975,
      0.48818409383579,
      0.483335785419902,
      0.425661778489261,
      0.396269804561885,
      0.425212096487244,
      0.488125404626873,
      0.523501844459745,
      0.482923121835722,
      0.422040949950078,
      0.403363710745877,
      0.439173179690678,
      0.496393994332959,
      0.496922076932571,
      0.433689181882859,
      0.394518144918421,
      0.413103292394995,
      0.440886106786093,
      0.409822329558055,
      0.352162072823607,
      0.348033052540878,
      0.404038039261379,
      0.467219188624963,
      0.479490878197907,
      0.457947582636503,
      0.444884289174642,
      0.454124845369052,
      0.468379781846418,
      0.478420855962186,
      0.493475588950352,
      0.528336328991229,
      0.556839897964304,
      0.542810822788452,
      0.509377392715249,
      0.491096196186269,
      0.501146262536435,
      0.529227382442971,
      0.541768632439363,
      0.518906401370175,
      0.487938797337143,
      0.471975846558627,
      0.449873453519179,
      0.414869342419546,
      0.409558480326122,
      0.452144440970765,
      0.497895992295166,
      0.47588892030377,
      0.419918232186729,
      0.404758235429682,
      0.442024169801188,
      0.494161150810475,
      0.495694914877868,
      0.439503470598302,
      0.398586022388137,
      0.410729585440246,
      0.467176432889539,
      0.518314218431259,
      0.491127687423115,
      0.423097371807571,
      0.394563375420361,
      0.407942084402994,
      0.412553111003121,
      0.382886442314509,
      0.363579673086808,
      0.364581409017842,
      0.359340960366123,
      0.35208463840726,
      0.368222291633467,
      0.396533464852394,
      0.409863057833412,
      0.397740000968843,
      0.364378196959917,
      0.31221943465785,
      0.236411591149182,
      0.146074582908915,
      0.0338104238093814,
      0.0805955561845881,
      0.158901843975807,
      0.271522217661474,
      0.358924084125174,
      0.376473526573343,
      0.362136875305257,
      0.331613846900431,
      0.308186670288712,
      0.301941984422943,
      0.328860331784812,
      0.38883326859288,
      0.471447161618629,
      0.538402598365525,
      0.557844115349097,
      0.547558793192107,
      0.54348779088568,
      0.553068410795358,
      0.562195462634151,
      0.553174198165113,
      0.521387087762495,
      0.502817358413014,
      0.51439847499397,
      0.550724798312466,
      0.576121685967372,
      0.568737111854097,
      0.552915573587627,
      0.550463213593006,
      0.557251333385213,
      0.559349049964658,
      0.546226691639657,
      0.508002166914004,
      0.476451799324428,
      0.476578323200889,
      0.511923913213129,
      0.542517567556205,
      0.52886362525392,
      0.509398928187854,
      0.511873980108353,
      0.528080865474839,
      0.5409130950611,
      0.550430516192653,
      0.553508714860539,
      0.549167735718575,
      0.549677444679276,
      0.562697244030528,
      0.559431092197908,
      0.529328915900853,
      0.511567785847269,
      0.518663332821454,
      0.536885936795618,
      0.539708541076569,
      0.533094804450008,
      0.529181418821324,
      0.514287324655972,
      0.490335085113468,
      0.47156715946188,
      0.458068319982416,
      0.457496699698379,
      0.480876548310433,
      0.515867688303989,
      0.5306780020506,
      0.499762687907161,
      0.470212357477905,
      0.474134672339541,
      0.496275435916297,
      0.508357612766598,
      0.486897022169924,
      0.451344567984977,
      0.445143220188006,
      0.474171243167596,
      0.519417613858635,
      0.540577305504818,
      0.506745450034998,
      0.472185898991246,
      0.474841146799086,
      0.513993611175524,
      0.553803178084395,
      0.545937682182658,
      0.526682700815173,
      0.529219048394031,
      0.534225995046743,
      0.530057072690847,
      0.522279403534621,
      0.518297965513393,
      0.507420513154885,
      0.491894771440178,
      0.501164981466255,
      0.531914055785853,
      0.552196613103875,
      0.548428091140849,
      0.543716926126359,
      0.542055312268448,
      0.532013822373605,
      0.522945398675921,
      0.52129382365793,
      0.510311054297448,
      0.490590881778099,
      0.489023754507461,
      0.51028830912779,
      0.528330103460909,
      0.510138196642775,
      0.483521972500483,
      0.489941679415636,
      0.522264098811314,
      0.557274500172366,
      0.568027217510401,
      0.541541519030094,
      0.511263385439232,
      0.509272750427044,
      0.540906806884989,
      0.558532168731564,
      0.523600040589865,
      0.489071240695355,
      0.494138933905119,
      0.525909730675873,
      0.55865724606136,
      0.567057773526547,
      0.55084737343726,
      0.528748339600274,
      0.511973887120794,
      0.509880422824537,
      0.497438374975408,
      0.471915103086893,
      0.469994953875675,
      0.499460018113915,
      0.529804317941912,
      0.513428943205722,
      0.462824475745262,
      0.446968602935836,
      0.473391501641383,
      0.509900663882143,
      0.518761970847462,
      0.487260761242289,
      0.462013882739256,
      0.470100482761178,
      0.503106732989131,
      0.534468637974038,
      0.524883056235275,
      0.480668877727968,
      0.457602373481339,
      0.463722816503546,
      0.457676945256269,
      0.403182143218393,
      0.34540458329026,
      0.349676570528707,
      0.404874301462539,
      0.45112388563587,
      0.450161242638489,
      0.43598207013701,
      0.437903868648989,
      0.444066173860625,
      0.445624208781261,
      0.463943471499453,
      0.502249525785377,
      0.546241053013439,
      0.56679112517712,
      0.554915279485776,
      0.535189739255018,
      0.523640971025448,
      0.528622050772796,
      0.544380607339127,
      0.547492968252306,
      0.521034885840931,
      0.484592103799794,
      0.466353360563435,
      0.459337123077909,
      0.455609451359898,
      0.471567421836664,
      0.508901715431214,
      0.533437005790918,
      0.504176907288043,
      0.461547434448481,
      0.458166549949538,
      0.488569048284815,
      0.517819662860335,
      0.506220006466741,
      0.4629555589758,
      0.44692949312007,
      0.470570973660738,
      0.511401581365814,
      0.53474841540212,
      0.508000283056613,
      0.466755562879279,
      0.456260850080563,
      0.464671966433244,
      0.44445276032609,
      0.389750843281207,
      0.364513298666398,
      0.385102729926552,
      0.404035220245934,
      0.39530516577515,
      0.376438918719824,
      0.373401801478091,
      0.388545310773944,
      0.393544448871206,
      0.370288687037052,
      0.316599589344038,
      0.236518417292706,
      0.150849622393173,
      0.0326735180365345,
      0.0805147295128406,
      0.161402356523196,
      0.278823389982134,
      0.370565292220376,
      0.389250436308337,
      0.380529711445847,
      0.365455155924226,
      0.363509226803093,
      0.359212155505372,
      0.346915568822182,
      0.348729727879485,
      0.381438925577549,
      0.426544762203979,
      0.45015139961701,
      0.443861122043204,
      0.429822134623947,
      0.423468225755588,
      0.430628771214065,
      0.433315337814718,
      0.414693707326386,
      0.412085858526609,
      0.436049091072062,
      0.462217641576797,
      0.460434755875981,
      0.44140451260872,
      0.428429885355597,
      0.422913874637049,
      0.426514802189083,
      0.438513324661045,
      0.438235992519453,
      0.405944186860663,
      0.378890794150046,
      0.385590257537566,
      0.428085042036233,
      0.468101391385008,
      0.466060389623055,
      0.456870433910261,
      0.467531273378181,
      0.485876014052197,
      0.491500002001697,
      0.487879320023286,
      0.479503579838193,
      0.465222774190021,
      0.4588990822412,
      0.471583501299569,
      0.476379207720509,
      0.458894629230876,
      0.45207657728492,
      0.465666509975424,
      0.48184498838357,
      0.481030837310945,
      0.476462214266138,
      0.478849395579357,
      0.469693539157241,
      0.448604413224921,
      0.433640661600044,
      0.422871773128115,
      0.416214556189015,
      0.420786243946724,
      0.430863554937927,
      0.439207656075423,
      0.43821155314452,
      0.441341875446321,
      0.448184598345306,
      0.443865560472586,
      0.429424926357862,
      0.416216267983343,
      0.406988256004229,
      0.40822975241939,
      0.419545768262452,
      0.437987114605466,
      0.453051082506298,
      0.445628375712317,
      0.435562334329596,
      0.437061413833685,
      0.448543695028176,
      0.452936301773566,
      0.422929458923181,
      0.387771212727804,
      0.37381907993066,
      0.370025680226181,
      0.373590902216487,
      0.394339184906201,
      0.425920970502526,
      0.432061849051727,
      0.413133616310121,
      0.410098380310895,
      0.426555315219769,
      0.427560185602188,
      0.406468006875066,
      0.391420607702062,
      0.387087187705199,
      0.391145275199323,
      0.412863004400969,
      0.440793763184001,
      0.43949642139478,
      0.415450796763666,
      0.410270096976958,
      0.429393445765124,
      0.438867738099976,
      0.416029919388269,
      0.398150244452788,
      0.41784886862051,
      0.454296530362097,
      0.475335514732748,
      0.464323459986402,
      0.42650341981213,
      0.396132212105083,
      0.396655261347195,
      0.427428509331173,
      0.44283157201819,
      0.414447872162585,
      0.395542262336046,
      0.414004009675773,
      0.445773762259856,
      0.465025183383872,
      0.461054950745615,
      0.440271596380441,
      0.416908298190488,
      0.40033730447608,
      0.404956587858565,
      0.415328389807788,
      0.416620059046622,
      0.422576422505347,
      0.437075667674099,
      0.447599295146346,
      0.439799320452905,
      0.418005148020153,
      0.410428933867147,
      0.416882549797123,
      0.424696327930558,
      0.425814977490396,
      0.414888000326241,
      0.410337954910936,
      0.418466524587214,
      0.429497132230732,
      0.436674861214386,
      0.435832949991705,
      0.427295391086564,
      0.42298976598736,
      0.417424459877161,
      0.393151322348102,
      0.364470903777305,
      0.366856165743619,
      0.413060935675037,
      0.467567847469427,
      0.476299661503374,
      0.452402059671049,
      0.444908519583852,
      0.454823656075596,
      0.451245599136304,
      0.424550295956434,
      0.408896966754937,
      0.413444637371975,
      0.427395062712074,
      0.42900633543909,
      0.413098128299571,
      0.396919073982645,
      0.389876941766979,
      0.396385315670845,
      0.410789613439123,
      0.414345379094962,
      0.398519684450375,
      0.380523180091499,
      0.38305984284961,
      0.400066157286963,
      0.411688435411337,
      0.417854653116395,
      0.425551356796377,
      0.430050859050511,
      0.422358151240792,
      0.412897535386262,
      0.416458194597266,
      0.426573696093182,
      0.431403750749551,
      0.423952794637376,
      0.408768582105948,
      0.408470118719827,
      0.421847300912618,
      0.438524893514656,
      0.450643267327287,
      0.446887928504699,
      0.43679352991266,
      0.439120230037286,
      0.451460023297108,
      0.439413573838744,
      0.382837354692364,
      0.32785123449026,
      0.321591078105713,
      0.357465222421531,
      0.399510705021241,
      0.408243471443597,
      0.386906442044053,
      0.371338115092962,
      0.35669323377664,
      0.322012502846663,
      0.263734851516884,
      0.193948323216889,
      0.136452276692168,
      0.029096656481461,
      0.0725730106639297,
      0.146948891390149,
      0.254640953126193,
      0.337838057697888,
      0.36201623115313,
      0.376350176609593,
      0.392794335744524,
      0.4142100364675,
      0.408633146420095,
      0.36494639145218,
      0.324345630987099,
      0.32434156867931,
      0.352837386258563,
      0.361714133366608,
      0.341024063851361,
      0.321992534706748,
      0.323514637927329,
      0.345165376623712,
      0.362095089486038,
      0.354197516339989,
      0.345923480310468,
      0.352571141586296,
      0.366873169321624,
      0.370783600174393,
      0.355343506859213,
      0.333244507891861,
      0.319159897471438,
      0.323557683519172,
      0.346238889682047,
      0.365785852099447,
      0.358642309897508,
      0.343048005312767,
      0.343790651438199,
      0.367818537855466,
      0.385844626598144,
      0.367630933462784,
      0.355393161890861,
      0.379340012613419,
      0.420328405096969,
      0.444355417563757,
      0.441790955969483,
      0.425539639708057,
      0.40294882986211,
      0.386231558129591,
      0.384139521880506,
      0.376178507130467,
      0.353045939022949,
      0.347438808626312,
      0.373597369573169,
      0.413075587382202,
      0.434393289382308,
      0.436268410178371,
      0.432425515409369,
      0.41714127121949,
      0.401109129657033,
      0.391475123970767,
      0.371605432173517,
      0.347349522532134,
      0.342934356810912,
      0.362065900181689,
      0.387468406007475,
      0.38785943849094,
      0.377199139312321,
      0.37551390833802,
      0.378636730331061,
      0.380734408749368,
      0.37173524186415,
      0.351598500988831,
      0.338352998089911,
      0.345323469287852,
      0.374674523656861,
      0.404266334026138,
      0.395651325312989,
      0.372497970159258,
      0.366796601649647,
      0.380653432558162,
      0.387635117335429,
      0.358986761618513,
      0.320702191645936,
      0.292950402095247,
      0.277510292765156,
      0.284641940047039,
      0.319189706195484,
      0.356391400562088,
      0.35823919301667,
      0.336296562855836,
      0.328659647098007,
      0.340055147806294,
      0.345918683455397,
      0.33086338104838,
      0.307531118264869,
      0.292717740682675,
      0.300441669744422,
      0.336733863868598,
      0.372990432508489,
      0.36911026532385,
      0.342365086649349,
      0.337308081389459,
      0.359249548501976,
      0.377583432274343,
      0.363141189999333,
      0.342293023272385,
      0.349745676827013,
      0.378565719069955,
      0.404450155139576,
      0.400629967153312,
      0.365338203053807,
      0.330934995266332,
      0.326644212846235,
      0.355715417342097,
      0.379649226079472,
      0.359534015571598,
      0.335040896118538,
      0.344031739761658,
      0.374304835579551,
      0.397879991468005,
      0.395108659102708,
      0.371395865722799,
      0.341856167802524,
      0.323516659440182,
      0.335137154414605,
      0.356415228386292,
      0.357712966941652,
      0.352787951243122,
      0.361387489508863,
      0.382087795594736,
      0.388615674138503,
      0.368813763234776,
      0.35273061625475,
      0.355075746101454,
      0.369777258536054,
      0.381533927051162,
      0.368567278509385,
      0.34723406909399,
      0.340024424145778,
      0.353940098970681,
      0.381802782198169,
      0.391093235243461,
      0.372123111632896,
      0.355802533729454,
      0.353024853941023,
      0.348113711484055,
      0.343242024707641,
      0.363283478812769,
      0.417647175515029,
      0.4734569004729,
      0.484193828132784,
      0.473139617078153,
      0.479157439297163,
      0.487435390369753,
      0.470702244204749,
      0.431436789729119,
      0.402421510065182,
      0.389184429239423,
      0.389327904186977,
      0.38425382624367,
      0.364110284860883,
      0.347950933936628,
      0.348062242749297,
      0.363851546177095,
      0.382762725526044,
      0.380101195450233,
      0.353492852862989,
      0.331955848309331,
      0.33708751769775,
      0.350457715830683,
      0.346620474012042,
      0.341546777445984,
      0.355139589730071,
      0.378743399732819,
      0.37864205870255,
      0.359753011672366,
      0.35331754615142,
      0.3650045704805,
      0.383587309677797,
      0.386936429964947,
      0.366645481350533,
      0.350248973792669,
      0.352464620326473,
      0.373086419000646,
      0.399407197156156,
      0.397622545923624,
      0.374852132868949,
      0.365980256706384,
      0.385022448097432,
      0.399782707759579,
      0.373981320061139,
      0.335475636098325,
      0.314770693764482,
      0.316127526576012,
      0.339322376702246,
      0.37462777453857,
      0.393881429387685,
      0.382268206302592,
      0.344941063184542,
      0.292092790019178,
      0.231941657389659,
      0.169702474097126,
      0.117625236975272,
      0.028118298250515,
      0.0676229539179606,
      0.134747501125457,
      0.232388699151089,
      0.310106720661257,
      0.335713541419575,
      0.351618553676619,
      0.365741002006122,
      0.377816094031912,
      0.369970574197874,
      0.341868577753057,
      0.321454070930786,
      0.327557480678986,
      0.341767146066769,
      0.331959231558665,
      0.306501497744574,
      0.29503032155698,
      0.306364234872285,
      0.329500292619204,
      0.346436267899205,
      0.344715086212733,
      0.336309147189133,
      0.333314470014179,
      0.33859829236257,
      0.339289006192506,
      0.321240485916937,
      0.299694763636596,
      0.293707959181308,
      0.305572736783486,
      0.326783203261306,
      0.345910932459149,
      0.349875907265541,
      0.345080330726841,
      0.34719992416421,
      0.365203718959859,
      0.380062418593896,
      0.358387849254889,
      0.328899530248588,
      0.327796483565546,
      0.352442319254852,
      0.378137777598363,
      0.385445340990935,
      0.381742293384372,
      0.37383010584451,
      0.368525771932443,
      0.37119299117062,
      0.366881440577098,
      0.341635214899675,
      0.321335348531115,
      0.328395350246884,
      0.355673318171787,
      0.374626670735781,
      0.377279980782556,
      0.378452042739344,
      0.370866806072452,
      0.357717804191087,
      0.350689136893908,
      0.342182251255628,
      0.32960209495169,
      0.327405794781847,
      0.343811519490036,
      0.365409745012253,
      0.362617551661133,
      0.345987408898928,
      0.34187152362883,
      0.350357476867837,
      0.360800215406204,
      0.358035171396529,
      0.342691006281282,
      0.334175679397036,
      0.340546775560146,
      0.362303167206823,
      0.380340903205739,
      0.364467202431525,
      0.339903331981738,
      0.337695526145152,
      0.359069783453437,
      0.373426923469789,
      0.347554148296365,
      0.306899608265952,
      0.278190732113689,
      0.265345840978725,
      0.274013137380338,
      0.300495645693554,
      0.324949298318096,
      0.327060080980398,
      0.316131615548061,
      0.317644018127948,
      0.333093995562518,
      0.33909784168311,
      0.317151915255804,
      0.287349039619791,
      0.276821099217333,
      0.288915878596549,
      0.314406939500863,
      0.334552957344364,
      0.331793262139881,
      0.320791443011418,
      0.32707737283916,
      0.348363313120268,
      0.360221766109048,
      0.33850773794306,
      0.311560456513116,
      0.31263258448109,
      0.337676551500333,
      0.367935684773804,
      0.373996885752981,
      0.350718615954464,
      0.324778489177342,
      0.323491929653824,
      0.348083714440398,
      0.365752300903886,
      0.343015378610238,
      0.313178011790183,
      0.313832039958,
      0.339793002315173,
      0.367716433843315,
      0.372287038053211,
      0.354837276569863,
      0.328289069206195,
      0.308134351288099,
      0.313426971507367,
      0.33364385546411,
      0.33913281247148,
      0.333207979276841,
      0.337187927202269,
      0.354671709085585,
      0.360275364206829,
      0.340219502356909,
      0.326076787200361,
      0.333586288933083,
      0.352403841561925,
      0.365093808212563,
      0.35601052634698,
      0.34007647391854,
      0.334299167242333,
      0.344327305186712,
      0.367371582433304,
      0.372799599773942,
      0.347595687002939,
      0.326996349623226,
      0.332573868213295,
      0.354144014139144,
      0.371054360454151,
      0.384977657788593,
      0.419109028310193,
      0.464479062025522,
      0.480520027937904,
      0.473479443649483,
      0.474797737139326,
      0.481654219831619,
      0.475950912519884,
      0.450067903971305,
      0.424537181825238,
      0.406674854073307,
      0.400735569383105,
      0.391589244317899,
      0.370164976414161,
      0.35970703241858,
      0.370527083708572,
      0.393016498634539,
      0.403489443777882,
      0.380982007830704,
      0.340382608241256,
      0.314998107380161,
      0.321453460172383,
      0.338798555422901,
      0.338690439200216,
      0.33321605463905,
      0.342765709481933,
      0.361323368302022,
      0.357164428061302,
      0.334896186089703,
      0.327249610408332,
      0.340898161108416,
      0.360817697077673,
      0.365285912130597,
      0.350595477253061,
      0.34038798465469,
      0.343844655876012,
      0.359171705381196,
      0.376345302200999,
      0.366923564441109,
      0.341122541034264,
      0.335610783266263,
      0.362902659878402,
      0.392414363777188,
      0.393038260528348,
      0.38266662239301,
      0.374731559032746,
      0.365387347464695,
      0.364212355814663,
      0.384637326620447,
      0.396979562322778,
      0.37296410061208,
      0.324212294541398,
      0.269939543062293,
      0.218192635904917,
      0.163048920056802,
      0.107894735756707,
      0.0302768989899201,
      0.0699433625220053,
      0.135666767710225,
      0.229749886505599,
      0.301544589672411,
      0.316505276644113,
      0.310493039544312,
      0.296903437946056,
      0.288559683843205,
      0.291873508878782,
      0.310308708419515,
      0.340051975598538,
      0.374649452466901,
      0.384778899035272,
      0.355707106346338,
      0.322429888924343,
      0.317413819978083,
      0.335092960085204,
      0.349010374530912,
      0.352455233244879,
      0.348559156851604,
      0.340936261865593,
      0.338203863901967,
      0.351713768350025,
      0.362886216804726,
      0.34116537896811,
      0.312611203334465,
      0.31230273084432,
      0.332333515815216,
      0.345603827707871,
      0.348236833173824,
      0.343675580959349,
      0.33769251101982,
      0.342472482158266,
      0.366089927368527,
      0.392359506340362,
      0.382135247491945,
      0.355347158613731,
      0.346704371876576,
      0.354492719826427,
      0.367087035240959,
      0.373950615625596,
      0.375301410137655,
      0.371821030018203,
      0.372929424078279,
      0.386735440019851,
      0.393894420674725,
      0.373157051723259,
      0.349066263547814,
      0.344236699730716,
      0.35329811439396,
      0.358262548168395,
      0.357385499826933,
      0.364213973511577,
      0.359442902545936,
      0.337320753774628,
      0.322754684195989,
      0.323661246192271,
      0.331530113487167,
      0.340850440157987,
      0.351217797637178,
      0.357236737325237,
      0.353369217745882,
      0.352851614871378,
      0.361815480718881,
      0.366731703976742,
      0.359441331504827,
      0.345569786214202,
      0.338076567049787,
      0.343029045538525,
      0.353927642498823,
      0.366576481160044,
      0.374188165507524,
      0.365189504445437,
      0.354918612963162,
      0.357470005361474,
      0.376831465399772,
      0.392970264149316,
      0.36409603193893,
      0.311515309554765,
      0.278151197418482,
      0.274741932791902,
      0.292449964105367,
      0.313077920277381,
      0.327879416150227,
      0.329415636089432,
      0.32038146399442,
      0.32323905821104,
      0.345191570286977,
      0.356673249678021,
      0.329506577230228,
      0.295996715971559,
      0.293679835238073,
      0.311948449018002,
      0.326995337071341,
      0.33387393939602,
      0.332574065228586,
      0.33054520657482,
      0.338955545067201,
      0.357664339365253,
      0.368353245547844,
      0.348235567505196,
      0.321928310081174,
      0.318666863723001,
      0.334611825399517,
      0.353720662932144,
      0.356556410784433,
      0.343945056205062,
      0.332160383080877,
      0.334885464417456,
      0.352048132178513,
      0.362083648243409,
      0.344725735248639,
      0.323066481527655,
      0.323030516127325,
      0.340341441417224,
      0.355990942218341,
      0.354075859981309,
      0.343407236696681,
      0.33355076753662,
      0.323948540517228,
      0.32147814176022,
      0.32750775295437,
      0.334770492541955,
      0.340630704908313,
      0.347705661549392,
      0.353234453750693,
      0.349132970269821,
      0.340624290740631,
      0.343703017442583,
      0.353886207454301,
      0.356627541331088,
      0.34906704270917,
      0.338212610703772,
      0.33668901435104,
      0.343161194038299,
      0.353074290941008,
      0.364553563637072,
      0.365353472988777,
      0.35256711282122,
      0.343382898931065,
      0.356580208641697,
      0.388553111317268,
      0.410680806011907,
      0.411011768988332,
      0.419257656828255,
      0.445639203283712,
      0.45633820852247,
      0.442776330653651,
      0.435292021351328,
      0.444904307149234,
      0.46024366210277,
      0.453172312765277,
      0.431388476222074,
      0.414655121664908,
      0.412944778242703,
      0.407372715729979,
      0.382982130315067,
      0.366627415855921,
      0.374076466989487,
      0.396783050042718,
      0.405113075366685,
      0.375842530526397,
      0.328129690029396,
      0.296700837892066,
      0.298163202065173,
      0.319210926963056,
      0.334391341642353,
      0.339849488126169,
      0.346187608120904,
      0.3528064556373,
      0.347681997895246,
      0.340695238977957,
      0.345398107693359,
      0.353922755460903,
      0.352921521096845,
      0.343578789717509,
      0.338623685413732,
      0.345802299583266,
      0.356931983259378,
      0.36525338158004,
      0.368860238907911,
      0.360323750219729,
      0.348876237946757,
      0.349133462076569,
      0.367025359909809,
      0.39054947662254,
      0.40299467189867,
      0.404288779944716,
      0.400790147424179,
      0.389769707086896,
      0.373449162722009,
      0.356313462231469,
      0.332586573941157,
      0.303598538716942,
      0.273837359788453,
      0.240351253757398,
      0.201111870747289,
      0.154802039481261,
      0.105933837452373,
      0.0358560703434928,
      0.0869245375005603,
      0.167946164356501,
      0.274049248021508,
      0.342208219333307,
      0.347451070418942,
      0.330937973421476,
      0.29794748550652,
      0.271440722743597,
      0.272364404474383,
      0.311347480809934,
      0.368802466134813,
      0.420479602313744,
      0.428199455828536,
      0.394628494546261,
      0.371342654957949,
      0.380347415924434,
      0.400417721914213,
      0.40153199315724,
      0.391237005806974,
      0.377113555156127,
      0.356703531867703,
      0.344263977844708,
      0.361933042750733,
      0.386964111695519,
      0.378630571100584,
      0.364241077086769,
      0.378155703686018,
      0.400862535465852,
      0.401794528320322,
      0.387630097966161,
      0.36567958284904,
      0.347768496895416,
      0.350247717682578,
      0.377965616740964,
      0.409321579711872,
      0.408041402079586,
      0.394792563869498,
      0.396007624113771,
      0.403314429075668,
      0.40753961686566,
      0.407767071715467,
      0.407722267748449,
      0.409445800571783,
      0.412252411935344,
      0.418128451837403,
      0.413342538704388,
      0.393185036056636,
      0.382408915271002,
      0.390498663493262,
      0.402784300477162,
      0.399534914947958,
      0.385404689496043,
      0.377205869839686,
      0.366609866755625,
      0.354668313009334,
      0.354642215061255,
      0.355406287355652,
      0.352324149747064,
      0.361020004655989,
      0.38475752877067,
      0.403550444285265,
      0.393208198013826,
      0.375027777449324,
      0.372377232738802,
      0.38254830892265,
      0.390266872592828,
      0.376752348712795,
      0.352945633698765,
      0.346022645896395,
      0.362165690137356,
      0.392265649551707,
      0.414399524619585,
      0.401432320406751,
      0.379310818508589,
      0.374468078712429,
      0.391590173027972,
      0.406865357042834,
      0.380260112838598,
      0.334349071833164,
      0.307933436039025,
      0.317432019596821,
      0.3526631617375,
      0.385429731692671,
      0.399163155554585,
      0.38469317035444,
      0.352867469405904,
      0.332972183854579,
      0.343508254690582,
      0.363960111446829,
      0.354834665873905,
      0.335544003556593,
      0.347488242957261,
      0.381540686872502,
      0.404527062172291,
      0.404715328959627,
      0.386058876455125,
      0.368906489151592,
      0.36666554700321,
      0.38498807172314,
      0.40707212453515,
      0.396893049934908,
      0.364417905590696,
      0.344485447818172,
      0.349893181529093,
      0.36849815639041,
      0.376931049538436,
      0.369038327013229,
      0.364200751634455,
      0.37217021680681,
      0.392900066814561,
      0.409403288186227,
      0.395383707713259,
      0.363292173767426,
      0.343957980164341,
      0.349794683505899,
      0.366914727470228,
      0.372567521963396,
      0.371588059121077,
      0.37544447011847,
      0.377846941589243,
      0.380007746949202,
      0.375700241048574,
      0.362041217039559,
      0.353864189182966,
      0.367006220363136,
      0.39273039949273,
      0.394359515502287,
      0.367024544317748,
      0.348435326879458,
      0.351757530805445,
      0.367084524696104,
      0.377576131569033,
      0.365497339124693,
      0.350038530808941,
      0.350734720594222,
      0.371370635789622,
      0.400723346346931,
      0.407163513030085,
      0.383501936810475,
      0.361143050446563,
      0.369450828272165,
      0.401511623531327,
      0.415021358597132,
      0.394059259191227,
      0.385994761729691,
      0.415633284130769,
      0.446691696198992,
      0.440649605550077,
      0.422702228553257,
      0.420917830759524,
      0.428981350903671,
      0.421209675370049,
      0.406156833908612,
      0.400216890935074,
      0.407410556893644,
      0.407185983831833,
      0.387376149285097,
      0.37105076427922,
      0.372497110399326,
      0.38716180990884,
      0.391366954602036,
      0.364405727920783,
      0.32517306050007,
      0.309552860498792,
      0.326097976237802,
      0.346699477805078,
      0.349684161470623,
      0.353246728032498,
      0.375091433151034,
      0.39933475150954,
      0.391662555293461,
      0.36504342048539,
      0.351292996043497,
      0.357246410675454,
      0.370934349396319,
      0.371845236332504,
      0.355099745086354,
      0.346187374178387,
      0.357023197721951,
      0.382653892515064,
      0.406029380460396,
      0.399434729846102,
      0.377136434392536,
      0.367776230430557,
      0.375086360536819,
      0.379775784604859,
      0.372106216143179,
      0.363188278449733,
      0.361990397762335,
      0.367154637843454,
      0.369226365433479,
      0.35358636173618,
      0.327512884982659,
      0.312993196791628,
      0.300920464425502,
      0.268222514639143,
      0.214779359790789,
      0.15632045439551,
      0.104465183884787,
      0.0591319131345032,
      0.14305812030978,
      0.267080988231715,
      0.407952556364746,
      0.480505658121857,
      0.488067212203528,
      0.486408539117683,
      0.457632568078887,
      0.433576155156233,
      0.423989351651177,
      0.421135710827815,
      0.429335071400419,
      0.460402693973084,
      0.483348108425614,
      0.46721131653341,
      0.444560256980268,
      0.455904203049172,
      0.48740409261691,
      0.499679039473281,
      0.484721098176523,
      0.454020183337957,
      0.42408009633913,
      0.411351717472412,
      0.438273257258202,
      0.474808530400911,
      0.471269520695125,
      0.454818269606116,
      0.468730644639788,
      0.496316032730108,
      0.500556504444752,
      0.482011228462743,
      0.452284509334665,
      0.431490022693384,
      0.431106074455977,
      0.453778585954134,
      0.47186752030541,
      0.456586489589116,
      0.442648583230583,
      0.453385730661866,
      0.471636379057157,
      0.481205288962449,
      0.491371434348548,
      0.506891297742118,
      0.51523698617016,
      0.506842675777375,
      0.494512195727106,
      0.473607896873032,
      0.443388050584728,
      0.431774778185096,
      0.445414290645626,
      0.46690060705643,
      0.469715073576571,
      0.462796760039971,
      0.462677476851925,
      0.458912434865371,
      0.456154189583082,
      0.471681910026105,
      0.470530330489384,
      0.434896804853062,
      0.409643244450119,
      0.424745694163334,
      0.464784923079421,
      0.465916189162125,
      0.431912837544945,
      0.40881848366801,
      0.414766405425512,
      0.444664829132419,
      0.462660696939436,
      0.441861423165671,
      0.41109492812245,
      0.403507800795315,
      0.434898998817609,
      0.483698334868065,
      0.480514799286691,
      0.438772245634776,
      0.411769036296471,
      0.426409422909759,
      0.46509545061254,
      0.472380307445142,
      0.446955876541663,
      0.422074882533095,
      0.424040169599209,
      0.456306207504268,
      0.495019155624393,
      0.515352716323205,
      0.498862080410232,
      0.453669072194159,
      0.414680828485999,
      0.416206808808909,
      0.453923760775086,
      0.468522861839415,
      0.453330017700113,
      0.454796842747769,
      0.478275775682438,
      0.501793795743171,
      0.511241880316899,
      0.494480244730233,
      0.464132347725913,
      0.44120201590731,
      0.44774551954762,
      0.4788116797679,
      0.480687091174947,
      0.443665484013378,
      0.410370842276309,
      0.412127858838259,
      0.443694624783404,
      0.471666813507993,
      0.471662291651364,
      0.464511868445034,
      0.467304115519776,
      0.486785838644585,
      0.507243690493237,
      0.488927915850322,
      0.442432747064007,
      0.409542263192316,
      0.414657500610632,
      0.446523857057992,
      0.471315067867112,
      0.483054901891369,
      0.489210186167784,
      0.482936417837195,
      0.482142612540372,
      0.483883188541878,
      0.460459200525118,
      0.424683638399231,
      0.416247733626759,
      0.445782399039886,
      0.466194650008399,
      0.435869603424268,
      0.399427772340762,
      0.39274197688888,
      0.419756562775437,
      0.463649487906995,
      0.471727728425929,
      0.440159953035075,
      0.408818376155983,
      0.411083246273085,
      0.451749938975109,
      0.47954294398621,
      0.450538933331343,
      0.407469167756188,
      0.385322825796934,
      0.37686205623086,
      0.366816806968545,
      0.352403820407901,
      0.366302995149401,
      0.414872086985134,
      0.456005688240935,
      0.456316970606577,
      0.441134108760134,
      0.440798859196725,
      0.446689169522946,
      0.437696004886243,
      0.428771710760909,
      0.435293476949827,
      0.463240800234826,
      0.483360523033875,
      0.470352382188648,
      0.448598697411043,
      0.439697980306994,
      0.447259436777761,
      0.460506374878461,
      0.457923656922459,
      0.434216544153587,
      0.421085048098126,
      0.445194609035659,
      0.469213803763399,
      0.444981493060024,
      0.410240926938865,
      0.417692326522677,
      0.460501217220317,
      0.47139986925125,
      0.435004121760493,
      0.401545452846339,
      0.397853129614761,
      0.423500921576874,
      0.450337886230971,
      0.43962152257941,
      0.411305254067252,
      0.399124414162046,
      0.422138821924742,
      0.472563866118271,
      0.488162417979018,
      0.450967361697814,
      0.410731222931869,
      0.38968600533127,
      0.374344625169673,
      0.355903515811245,
      0.344338042372473,
      0.340121096245908,
      0.33710028971886,
      0.340797854455275,
      0.353138362874294,
      0.364397217619648,
      0.373091210231018,
      0.363030442379878,
      0.317721795881343,
      0.24513419442565,
      0.164559432844814,
      0.103151054268877,
      0.082475729366173,
      0.187069778761848,
      0.33910166748076,
      0.512043029558216,
      0.59672739750551,
      0.592601043834404,
      0.594452812010288,
      0.605396952270354,
      0.633266742191507,
      0.63337128630471,
      0.575622907872932,
      0.512386346631852,
      0.503180608601071,
      0.532912605574783,
      0.536053744574672,
      0.517699362040673,
      0.528978799122813,
      0.566587971064449,
      0.591228109544883,
      0.574279495358813,
      0.531453139787217,
      0.505811192725644,
      0.510289611845849,
      0.54245997648166,
      0.563500928866541,
      0.543336335887391,
      0.520152588341559,
      0.534112319635606,
      0.571211553306811,
      0.589862678518478,
      0.570967407647196,
      0.528993949619818,
      0.49342566675407,
      0.480361593877617,
      0.499553148355028,
      0.522902909524194,
      0.511423561622876,
      0.495916427255691,
      0.510778470254837,
      0.541766405620792,
      0.561608056144679,
      0.571501565169362,
      0.574163090966367,
      0.561423663534752,
      0.541318089832345,
      0.53713399692877,
      0.529462832396021,
      0.497986782682603,
      0.48141802280069,
      0.500782933005141,
      0.537775475658964,
      0.552990269642244,
      0.557858800649499,
      0.575277244297066,
      0.579980414328612,
      0.560839258881086,
      0.545529152034455,
      0.525272273803573,
      0.493378512320936,
      0.479350558936237,
      0.496897241614169,
      0.531036813650819,
      0.526211305684742,
      0.496975004189359,
      0.483652026591482,
      0.491983004115026,
      0.515662528111637,
      0.531180010425814,
      0.516472826841238,
      0.492564531213096,
      0.483815083140659,
      0.505229995453184,
      0.535550118826634,
      0.516328626527187,
      0.477600168381872,
      0.468863018109769,
      0.513089262242208,
      0.572128685514456,
      0.581558146529559,
      0.564510022552318,
      0.552307122162615,
      0.544692396070088,
      0.542887462799694,
      0.551429356025926,
      0.563733852281168,
      0.557058317106352,
      0.530370198406665,
      0.521649835876662,
      0.545556869843809,
      0.581196215717469,
      0.586276268312416,
      0.568267037200269,
      0.558226398264101,
      0.555132112621945,
      0.558388077316025,
      0.563423114073527,
      0.553950390174431,
      0.534666243909661,
      0.522061866238431,
      0.526692873539492,
      0.543714898496405,
      0.537964987419928,
      0.517651093532516,
      0.517492858518105,
      0.539470427081414,
      0.567945359436087,
      0.578699222015874,
      0.561060479424061,
      0.539087002643089,
      0.533323734193047,
      0.551120558433108,
      0.563606255344574,
      0.537940654566449,
      0.510457833745872,
      0.513539220456514,
      0.541313566237522,
      0.57215845264891,
      0.582929924694246,
      0.579011209790135,
      0.572154153118513,
      0.557114266576761,
      0.550586722946069,
      0.540758234099654,
      0.511676133688243,
      0.486501519971065,
      0.488218698007571,
      0.52052035505454,
      0.545334318499953,
      0.52252987328312,
      0.494400993062948,
      0.491003866533346,
      0.510454436725503,
      0.535814862864619,
      0.528947526626325,
      0.501796719804976,
      0.480161306073026,
      0.480311240175894,
      0.505995945603198,
      0.519303426907784,
      0.489924585666184,
      0.457327671828744,
      0.442390368249261,
      0.422412779891891,
      0.390058812940169,
      0.375443053661517,
      0.403704376770202,
      0.448293333631563,
      0.46410810345579,
      0.463192936941946,
      0.479131094375769,
      0.509399202144335,
      0.523062378201498,
      0.506554743851526,
      0.504152470970471,
      0.530044388677198,
      0.573468677953844,
      0.595948757934245,
      0.582368393831839,
      0.568422999647695,
      0.570204796625657,
      0.585317780613611,
      0.602224944942322,
      0.602697963588906,
      0.576125250969767,
      0.547199377587057,
      0.547569275910487,
      0.548444544693518,
      0.513801073088062,
      0.481201291852624,
      0.487369700430846,
      0.524235542151474,
      0.534946957964038,
      0.507274158280215,
      0.485597688440467,
      0.490215828129348,
      0.515814219370811,
      0.537260669670836,
      0.524662034278524,
      0.501021276333452,
      0.48904258045907,
      0.500682035362459,
      0.530993043160274,
      0.529182100883906,
      0.491242610164793,
      0.456760892145768,
      0.431464835351041,
      0.393347484597861,
      0.346596404183821,
      0.3298805331518,
      0.342304982362912,
      0.354347881797239,
      0.359547860871335,
      0.369747897373644,
      0.373543750269207,
      0.358886982803444,
      0.322806650670617,
      0.271503238211164,
      0.212393835511009,
      0.14717332848104,
      0.0964846025830121,
      0.0645795692600307,
      0.143537430631175,
      0.263981504774963,
      0.41868509653977,
      0.508685506121392,
      0.496248053476348,
      0.465129108516325,
      0.451289716853546,
      0.465876276802164,
      0.471738235122032,
      0.447058934121533,
      0.421505371716033,
      0.431110964288484,
      0.465217256256182,
      0.47751024798741,
      0.464565999436831,
      0.463860904161311,
      0.482647866793496,
      0.505184779963035,
      0.507384350152012,
      0.483131886113475,
      0.470757227757893,
      0.481878457741008,
      0.50311255362071,
      0.503754766771642,
      0.479559855904617,
      0.462360730166143,
      0.46659047299619,
      0.484558560424205,
      0.501394824963706,
      0.501790333637237,
      0.474795324168283,
      0.440585576470936,
      0.42701794875918,
      0.45428336078567,
      0.488956095004932,
      0.478157900367798,
      0.454467437882803,
      0.464410493646799,
      0.500071495329638,
      0.524588552943537,
      0.525087672398946,
      0.508240931136778,
      0.487157704065759,
      0.481866890003096,
      0.501650396502786,
      0.506292912981818,
      0.471852306448373,
      0.446468408186179,
      0.459992871539597,
      0.497056850375886,
      0.518089760487406,
      0.521704331894589,
      0.523483555438349,
      0.513490303940982,
      0.48738989187579,
      0.462843908920887,
      0.444760075717087,
      0.441792549856748,
      0.458340805848056,
      0.474257281691036,
      0.466323515481668,
      0.427792523632019,
      0.410070267029613,
      0.42907870015045,
      0.455111475327766,
      0.460234712215644,
      0.438784425857964,
      0.416982202454626,
      0.42017767844808,
      0.445043926558398,
      0.475510283444803,
      0.480594552934752,
      0.44306004044619,
      0.41929565710365,
      0.438289546738643,
      0.489129676880689,
      0.517099550389218,
      0.480402138571727,
      0.446058491562609,
      0.444508137841919,
      0.451648131518549,
      0.456379424899801,
      0.465693539325996,
      0.480730200955683,
      0.483610445849042,
      0.479733139043402,
      0.495639899557872,
      0.517056066320092,
      0.510625863047411,
      0.482440881745924,
      0.468049787891369,
      0.469405940891684,
      0.47003795583337,
      0.477552650201739,
      0.491196103091047,
      0.490554793042819,
      0.481713320685729,
      0.484547772781208,
      0.500199971425568,
      0.511238383193869,
      0.497954568014289,
      0.482535374010887,
      0.491618058179933,
      0.511729128016382,
      0.526391936617665,
      0.522667359126227,
      0.493261329609375,
      0.465511833262007,
      0.463968458935373,
      0.495845892643379,
      0.521795851339204,
      0.507231934547525,
      0.491418384891286,
      0.501650294331963,
      0.523636184670757,
      0.538433890218813,
      0.532520959267144,
      0.511031485246684,
      0.493084095406687,
      0.48433129852177,
      0.490516642747018,
      0.481258894650574,
      0.455965765222282,
      0.45315955584387,
      0.471653857443894,
      0.483936750375918,
      0.462822641592114,
      0.42495571902111,
      0.416861856544227,
      0.438268221032559,
      0.462856124948139,
      0.465136750738071,
      0.439472585506892,
      0.425998276215917,
      0.437587280769635,
      0.459974609182647,
      0.473056298542959,
      0.4548791789136,
      0.419660206670609,
      0.407284455648937,
      0.417105224872015,
      0.413270658430322,
      0.376787329476093,
      0.347978951532643,
      0.370021092918604,
      0.425149408128139,
      0.461768476612188,
      0.469663917363524,
      0.481780040847137,
      0.508286045513571,
      0.517920208267129,
      0.493376248632256,
      0.481679353117386,
      0.494559295217029,
      0.512847318694318,
      0.508460195022729,
      0.487069063191061,
      0.482074119184149,
      0.492675698265048,
      0.505664949508184,
      0.505396519402721,
      0.4898616449763,
      0.468686523069919,
      0.45300038440458,
      0.453941970785818,
      0.453240992450326,
      0.442597228844882,
      0.446398273959643,
      0.465275626005524,
      0.474650233452715,
      0.453520087934602,
      0.430495039085393,
      0.434299487212728,
      0.455236802875597,
      0.468037858392853,
      0.452145748926624,
      0.421557410138042,
      0.417468126629076,
      0.440311419057682,
      0.469970546649395,
      0.480015776020776,
      0.448830999366758,
      0.414631630937023,
      0.40981730294905,
      0.422093768466188,
      0.406006913861388,
      0.351172355176878,
      0.319242018569444,
      0.339047364832468,
      0.376059935657456,
      0.393214098463801,
      0.384984475230321,
      0.354229048041146,
      0.307405776303072,
      0.25376435743862,
      0.206954610311011,
      0.169030479313394,
      0.130279862292782,
      0.0928227669627357,
      0.0350396049600459,
      0.0832770280228887,
      0.163343982005079,
      0.281315622864118,
      0.37013651578218,
      0.3768816816875,
      0.345848691747976,
      0.306394301417263,
      0.279586962326122,
      0.265107064320433,
      0.265385540940194,
      0.283973936323866,
      0.324095046193271,
      0.371755149723558,
      0.394434461432593,
      0.379164006547663,
      0.356664399950271,
      0.350458733306282,
      0.365573038161106,
      0.384683347399552,
      0.381099437135191,
      0.3735634741505,
      0.376175472470947,
      0.388341847439456,
      0.398151403552987,
      0.392157383607253,
      0.37372177798253,
      0.355730339557526,
      0.352277110693956,
      0.368096905519506,
      0.389174319054004,
      0.386898475616525,
      0.369143723673615,
      0.359398869356449,
      0.375313552395544,
      0.39263508273131,
      0.37274556289509,
      0.355233189914121,
      0.374194713687594,
      0.415041419305273,
      0.445363837035357,
      0.451207732110717,
      0.434510223236669,
      0.407220523377095,
      0.39459289343901,
      0.402663969316253,
      0.395526580117837,
      0.361744717828863,
      0.347332085671014,
      0.37188637297517,
      0.417915663663865,
      0.448975452566198,
      0.452554345257414,
      0.435819391054543,
      0.401213264341838,
      0.374735428779868,
      0.369362510548406,
      0.364614555654367,
      0.355505182192656,
      0.360182711846375,
      0.380756772464779,
      0.398003364086408,
      0.385359065948356,
      0.365371468952878,
      0.362968163713385,
      0.370007502103183,
      0.373278911314315,
      0.363004506895826,
      0.345227865941508,
      0.337696669821492,
      0.349470103398366,
      0.380686197804283,
      0.409964112551475,
      0.397282580279821,
      0.372660430132276,
      0.373135557026206,
      0.396279923570557,
      0.404444056573188,
      0.364551248443501,
      0.323819413602149,
      0.305843849068688,
      0.301524011286247,
      0.30968916448286,
      0.335725759809946,
      0.373325552209827,
      0.39619724822806,
      0.402311514649101,
      0.404321961926864,
      0.39738875499419,
      0.369977069612536,
      0.338487534167056,
      0.322987371132282,
      0.318963356060756,
      0.325441147015303,
      0.351774720393388,
      0.387532078972691,
      0.399613334208408,
      0.387818603101293,
      0.378430657127935,
      0.38650524824472,
      0.401873764697762,
      0.404702363794574,
      0.398830726409995,
      0.403180410348817,
      0.412833887646426,
      0.418760413483071,
      0.414142607936211,
      0.38868301922617,
      0.360808318673112,
      0.355724596827294,
      0.385581795312833,
      0.417600938789556,
      0.414881036717888,
      0.402165004763421,
      0.404483547419617,
      0.411076038145923,
      0.412866663985825,
      0.408214236530935,
      0.392584413536823,
      0.368930741639504,
      0.351725151220781,
      0.36448543436294,
      0.380763994440265,
      0.371726115100548,
      0.362785463883894,
      0.375046578043856,
      0.39558433262888,
      0.392800383156099,
      0.36451450759156,
      0.345918284101069,
      0.350718217429728,
      0.367019223870412,
      0.379280207929313,
      0.367823332040826,
      0.349801447918442,
      0.346867926593385,
      0.36439976580321,
      0.395105364055863,
      0.402925123789447,
      0.376255473292865,
      0.354765745468803,
      0.357768420503248,
      0.362832629449713,
      0.343341341392974,
      0.319538014274595,
      0.34202502162986,
      0.411447259108653,
      0.46898765718245,
      0.473799785023985,
      0.457228155352591,
      0.454362521920268,
      0.450525892263165,
      0.425427424967768,
      0.401248408721351,
      0.391053524883622,
      0.396036231546903,
      0.3935571124654,
      0.372411791981576,
      0.356319613659184,
      0.358489163830673,
      0.374822382522255,
      0.389411157729648,
      0.383973630941319,
      0.355104106804075,
      0.324639882717759,
      0.321460183232128,
      0.337978995699923,
      0.346293625265344,
      0.35055401730788,
      0.368270130439361,
      0.390670285261242,
      0.385050249244196,
      0.361189122464085,
      0.351657023614992,
      0.362631857999222,
      0.378244386701311,
      0.375604554805504,
      0.351994362485282,
      0.338162503241533,
      0.34780503534844,
      0.374313160765239,
      0.401425760831046,
      0.393880070795669,
      0.365661889874909,
      0.361561326199673,
      0.393904727640017,
      0.412180019561563,
      0.363979471498297,
      0.304984747090788,
      0.292037637235702,
      0.314933131534025,
      0.342410590079065,
      0.357911822936307,
      0.352676820576265,
      0.323095968487563,
      0.276573956813348,
      0.226884062797445,
      0.180630692556484,
      0.135995280581266,
      0.091011305898335,
      0.0238997824074588,
      0.0617157468956435,
      0.125225441756693,
      0.218029672916781,
      0.296866644447647,
      0.327288691440718,
      0.328344165695855,
      0.304682668507181,
      0.279149980514382,
      0.263150719157621,
      0.263882041029971,
      0.282775134104364,
      0.31620784210964,
      0.346523662052377,
      0.353412332670282,
      0.334851606055221,
      0.311575271560704,
      0.302842585151994,
      0.31612753214394,
      0.335497861216655,
      0.332227077269891,
      0.319965505013689,
      0.319914170079535,
      0.336390492411356,
      0.352708972159881,
      0.347146557164798,
      0.325073750908254,
      0.303578291826863,
      0.2972932644334,
      0.313596306248989,
      0.336046882652888,
      0.333329735106151,
      0.315595639369098,
      0.310848440273444,
      0.328408652119148,
      0.342407334979302,
      0.324412949029655,
      0.314380851456114,
      0.335369960326006,
      0.369048353940273,
      0.390943292676504,
      0.3941711138846,
      0.383542398541363,
      0.360905003368755,
      0.344108296394129,
      0.341103508077743,
      0.331844848665214,
      0.309968886732453,
      0.309313385648884,
      0.339256571956126,
      0.379470408083277,
      0.398697302522073,
      0.393183712360623,
      0.376331665067806,
      0.349240981897968,
      0.339250217125416,
      0.348235544536026,
      0.339389813029097,
      0.31076799774693,
      0.302581966692877,
      0.329948930790152,
      0.364572692281453,
      0.362069892422787,
      0.33886825505575,
      0.331956428059799,
      0.34289452360952,
      0.360164560141331,
      0.357743869025725,
      0.329006801367444,
      0.304558282764792,
      0.309018283030233,
      0.346641983982533,
      0.386084325844356,
      0.373508512188662,
      0.340382276802123,
      0.334129451504758,
      0.355091410195588,
      0.362295747048877,
      0.322076707960712,
      0.281947758063633,
      0.263583300904747,
      0.255732343708598,
      0.259600827152546,
      0.28000224497189,
      0.308860570444528,
      0.325869840993142,
      0.331092565343549,
      0.334664435507714,
      0.332278899303101,
      0.315887380165895,
      0.292825250029608,
      0.275742422314613,
      0.267620040866517,
      0.271080257564463,
      0.290914165141659,
      0.316697620825751,
      0.324146575199492,
      0.316097174072694,
      0.313156176683032,
      0.321467919509872,
      0.331456190816769,
      0.328575084766915,
      0.32204128128002,
      0.326643175364545,
      0.339745684617612,
      0.356182816332125,
      0.361892525355079,
      0.341959439339076,
      0.312387179759806,
      0.306116163577456,
      0.332328698732707,
      0.358718066145427,
      0.349147121134807,
      0.330095557874047,
      0.329734808844913,
      0.340305037564079,
      0.355183905654485,
      0.365211055170027,
      0.355703669011022,
      0.326039925817723,
      0.301456202199836,
      0.311653342085693,
      0.331556241062642,
      0.320322842020741,
      0.303500323308701,
      0.316451401644846,
      0.352046929735961,
      0.365321970863628,
      0.33549679997563,
      0.306980196665602,
      0.309976768536961,
      0.337769885318992,
      0.364384016415516,
      0.351342692871194,
      0.318171831166853,
      0.30331497706744,
      0.320392928281726,
      0.360222311954877,
      0.375310782518898,
      0.347869442073828,
      0.323687477714643,
      0.331596057542699,
      0.351611584458107,
      0.343979119569886,
      0.319994161602527,
      0.336803658698275,
      0.398780402580039,
      0.447885874211122,
      0.450328524903977,
      0.437974455932776,
      0.440248631258898,
      0.441250982042803,
      0.421748268824965,
      0.400411471606552,
      0.389250733922547,
      0.391775629017706,
      0.387761320613824,
      0.365332584795221,
      0.34477341913421,
      0.340065304736695,
      0.353140999902504,
      0.370091735688333,
      0.361906448452661,
      0.324503862248431,
      0.291892104506062,
      0.295217370840995,
      0.3132459695324,
      0.308612083224528,
      0.301301168517569,
      0.321214327740051,
      0.354749247616669,
      0.352204859688691,
      0.320214729285983,
      0.30480129884179,
      0.321554419123231,
      0.355474950321544,
      0.368364715543933,
      0.339161535719389,
      0.308337474832605,
      0.308609474648987,
      0.340972106883316,
      0.382046677639741,
      0.37890984277052,
      0.344128031308879,
      0.334597267536437,
      0.373732575980763,
      0.413639989178703,
      0.387814402275765,
      0.338471596708396,
      0.311401616256554,
      0.305140274558658,
      0.308900317353874,
      0.321451677767052,
      0.336657744983779,
      0.343574154614238,
      0.330080106811996,
      0.287228846404657,
      0.222523343552426,
      0.150213022994998,
      0.0886419840783587,
      0.0215514746520979,
      0.0584905195476144,
      0.120458731333592,
      0.208376712880869,
      0.28242693905508,
      0.314011284278758,
      0.322635342166666,
      0.317769642695472,
      0.323717783944475,
      0.330772666439111,
      0.328914882904499,
      0.329340915217628,
      0.342703546662012,
      0.346459159897122,
      0.326175177679122,
      0.303316455060466,
      0.294042681226325,
      0.298161417473369,
      0.307149061246965,
      0.314616721201744,
      0.310875928629736,
      0.302935745194667,
      0.303464620867403,
      0.318355616688962,
      0.328672386727556,
      0.315069721911887,
      0.295385061047056,
      0.290072681156601,
      0.296602616845768,
      0.305746239275135,
      0.31517983627451,
      0.315632405682366,
      0.308710609285905,
      0.308508352075781,
      0.325303156782922,
      0.347457965548481,
      0.346766540246084,
      0.33768122841385,
      0.337859286992424,
      0.340742468281096,
      0.342698197969759,
      0.347081626273346,
      0.351095160019828,
      0.343333016601072,
      0.334915303052559,
      0.337937442009215,
      0.341021855486174,
      0.3301456552621,
      0.3234454537423,
      0.329070642269908,
      0.33559954038875,
      0.333150344654697,
      0.330028356062892,
      0.336693284725087,
      0.335307998071585,
      0.328330885707987,
      0.327013221720648,
      0.317522321763405,
      0.303370205261713,
      0.308675994877778,
      0.335649735603659,
      0.355190575798623,
      0.339704077110678,
      0.317184844767928,
      0.316719784730948,
      0.332227894456751,
      0.347260284075269,
      0.340020548553734,
      0.313078343135253,
      0.299512272168637,
      0.312747036359668,
      0.345742147787461,
      0.367730897438439,
      0.3461022294037,
      0.318019920961279,
      0.319638813726693,
      0.347425994485137,
      0.359808939700452,
      0.317829375325619,
      0.27099661264229,
      0.252143901178529,
      0.246570826889587,
      0.247989730864272,
      0.257819281559974,
      0.274839886511614,
      0.287518887002926,
      0.292856724706915,
      0.303136926011786,
      0.312854742387195,
      0.305046966223778,
      0.281105124053904,
      0.263895834715881,
      0.260615716298087,
      0.262898829117847,
      0.270714804151999,
      0.285182675929245,
      0.294124463978681,
      0.294576807052564,
      0.301170062968562,
      0.316305500945483,
      0.329162595518367,
      0.319310941714056,
      0.301812619079814,
      0.301295825475565,
      0.316988841272992,
      0.335510270656889,
      0.337333599232783,
      0.323791776349129,
      0.307776427941282,
      0.306248975118686,
      0.322611683173457,
      0.339471267238996,
      0.327883720043836,
      0.304763424172755,
      0.301676820073736,
      0.318128036727342,
      0.338250152509224,
      0.342078177301913,
      0.33232115474003,
      0.317245292937294,
      0.302554923460111,
      0.302452622416465,
      0.309972195262176,
      0.303816242823723,
      0.29945549759158,
      0.317709094006156,
      0.345850657750114,
      0.343537853057346,
      0.308155764303822,
      0.28717187282315,
      0.296845235948502,
      0.322941363800775,
      0.340039395162727,
      0.323815150364487,
      0.300576087979541,
      0.301396362630362,
      0.326628642881616,
      0.356981478036389,
      0.35523331454016,
      0.322010966044486,
      0.299614839995606,
      0.312225310704207,
      0.34742283963953,
      0.353841652583305,
      0.322215171020742,
      0.319407201362028,
      0.369788709379184,
      0.417886091478805,
      0.420660522252296,
      0.415038231597773,
      0.437369452937392,
      0.462604498358796,
      0.451778641075062,
      0.423474641451104,
      0.40223813434051,
      0.398919232292141,
      0.391676710771708,
      0.366548472606838,
      0.34303038336366,
      0.335521782396127,
      0.34788306120889,
      0.36341371080708,
      0.351813303097845,
      0.313124289094142,
      0.282167184665157,
      0.284526999276613,
      0.300545772564815,
      0.302153322751521,
      0.306487954276714,
      0.329122591936881,
      0.349648926602599,
      0.333151962147521,
      0.30027097084109,
      0.290091048904456,
      0.307708920557667,
      0.336748129334638,
      0.347299573349672,
      0.3249610471281,
      0.305063951922125,
      0.310909160332185,
      0.337485798986685,
      0.361164932109807,
      0.347049600092399,
      0.315669558581031,
      0.307676356920697,
      0.336862146938412,
      0.377298387392956,
      0.385472821577946,
      0.375145702804511,
      0.365181029447408,
      0.347737140053371,
      0.323368104201974,
      0.307966245303488,
      0.308755058214931,
      0.318167640539147,
      0.313290798042917,
      0.276536136047259,
      0.213497270369336,
      0.141126230012169,
      0.0853518717343343,
      0.0201046879975846,
      0.0568396201987626,
      0.120847564925795,
      0.212143691423765,
      0.282272090434864,
      0.301877195686001,
      0.307318497835211,
      0.314695349879157,
      0.341889989877055,
      0.365953829525228,
      0.366710135557753,
      0.358199411254054,
      0.360227371323432,
      0.3533006204307,
      0.325184636844204,
      0.306201372238428,
      0.312221832775029,
      0.327543776591712,
      0.328832166000123,
      0.320033231089504,
      0.31274326361108,
      0.310226325885982,
      0.312004800856129,
      0.323250634273055,
      0.329018188460138,
      0.313662659246838,
      0.299749495062869,
      0.308402296155958,
      0.324762467903503,
      0.32603082147763,
      0.320924329211112,
      0.319759461095156,
      0.321257640643224,
      0.325801595382999,
      0.342797265880888,
      0.369780920801232,
      0.380679690983147,
      0.3757069097394,
      0.367252486624529,
      0.356525208103719,
      0.352956316873863,
      0.361622152460974,
      0.366893330156414,
      0.358253853301685,
      0.354618201353885,
      0.368132427962426,
      0.381110011943115,
      0.374864841832588,
      0.365419636214967,
      0.360735211039023,
      0.352724113885019,
      0.341152314747507,
      0.337525412697417,
      0.347959089621549,
      0.351926243755392,
      0.343862284471586,
      0.336785135759594,
      0.325058048743678,
      0.316526996312538,
      0.327771976563888,
      0.354048929798662,
      0.371492814744144,
      0.355287685033289,
      0.331195982529287,
      0.329274936567655,
      0.349246288036564,
      0.370309431386511,
      0.360463895419139,
      0.32719914508271,
      0.312709076378378,
      0.327207224355968,
      0.359949793056213,
      0.382088139656134,
      0.362844138118529,
      0.33373827893845,
      0.325758637211012,
      0.343846043847901,
      0.360677057309197,
      0.332846294107361,
      0.293364320382301,
      0.277842945623097,
      0.27772292074894,
      0.281417447906169,
      0.285792274788377,
      0.294807383746428,
      0.299836731802081,
      0.29441194550389,
      0.294097470827884,
      0.303735423290777,
      0.307630855712703,
      0.297925758281296,
      0.291047096770035,
      0.29408473443391,
      0.296061041896655,
      0.29633428487793,
      0.302501820232383,
      0.307769219382337,
      0.308508125881033,
      0.314617496507792,
      0.329882433826005,
      0.34524106510066,
      0.338666145075281,
      0.319183009934363,
      0.310976327050304,
      0.318508328232761,
      0.327087292627845,
      0.321366194133642,
      0.31311054329112,
      0.312739076342781,
      0.319090647621407,
      0.331522013430396,
      0.344973301971224,
      0.339082514216373,
      0.318880005408478,
      0.308832618251116,
      0.313956032986994,
      0.319194327631484,
      0.311682617718008,
      0.307232656835416,
      0.31396195550243,
      0.320243902276324,
      0.327817035234087,
      0.332721270084496,
      0.326071282667161,
      0.324518901864969,
      0.341947707932125,
      0.366646154737536,
      0.363438516305384,
      0.330184221488074,
      0.311844856586152,
      0.320209235273625,
      0.341566878923528,
      0.353117220964036,
      0.335792863562586,
      0.316345218853312,
      0.318735669007498,
      0.343051256506262,
      0.372402702062473,
      0.371966782867139,
      0.339182163495098,
      0.310203660420184,
      0.318175243527138,
      0.362384035676457,
      0.381605922809919,
      0.344609507339875,
      0.324287533002153,
      0.362356187310962,
      0.407550359879141,
      0.408948776067932,
      0.401556318801757,
      0.425958252118566,
      0.455484684132218,
      0.444385456177852,
      0.409369168371382,
      0.381444817265387,
      0.378391484551598,
      0.377520086264046,
      0.356417651605727,
      0.331892487022849,
      0.324575154242749,
      0.338454666311447,
      0.352507680204284,
      0.339040065697113,
      0.303596675615963,
      0.282561850680979,
      0.295541927019626,
      0.318153080247852,
      0.323056911696793,
      0.327244879836012,
      0.348528568986057,
      0.369736594794632,
      0.356764522595111,
      0.325197061618145,
      0.312189423475519,
      0.322943008555332,
      0.344202865372223,
      0.351894356579432,
      0.335133672517193,
      0.323928285252975,
      0.333263765035174,
      0.359479398467911,
      0.380985805526253,
      0.365701279407907,
      0.332120072611227,
      0.315705657056574,
      0.325650401779479,
      0.346024650760827,
      0.357025057070578,
      0.358615702159266,
      0.362099111849495,
      0.358330994135659,
      0.345577687598414,
      0.331044195824556,
      0.31965140812871,
      0.309500979319241,
      0.281509866871195,
      0.232488654812558,
      0.174070265709064,
      0.1193343073174,
      0.0802003258823764,
      0.0204804843504117,
      0.0583735594961794,
      0.126532964680552,
      0.226353364292068,
      0.303511129651453,
      0.321452264328888,
      0.32250532384043,
      0.319556330370103,
      0.324701948187734,
      0.331103839245435,
      0.332856422905144,
      0.341894444286212,
      0.368550526167682,
      0.384812084564252,
      0.367396684833385,
      0.345576986618257,
      0.354407425346653,
      0.381059323938255,
      0.390466871563441,
      0.380601039787249,
      0.362735119277406,
      0.345004093574594,
      0.333236350400121,
      0.345970576083393,
      0.367762512238538,
      0.362879336078588,
      0.350480794152297,
      0.364870108895405,
      0.391057471883125,
      0.39528317221509,
      0.381989675017634,
      0.364584959266562,
      0.358830971127409,
      0.371322778584048,
      0.407782161566818,
      0.441558196263856,
      0.43174258480268,
      0.404341692231357,
      0.3880161698328,
      0.384163884166064,
      0.388799183118713,
      0.400580363505578,
      0.407014469308317,
      0.404728027980927,
      0.409083579250338,
      0.430241600774709,
      0.441059179843703,
      0.419280437725618,
      0.394410542921011,
      0.385515892448109,
      0.385850561134142,
      0.377595604289594,
      0.365646015225048,
      0.362594244937462,
      0.365325243824234,
      0.371392588224365,
      0.371973589668335,
      0.349751364153285,
      0.325195071907352,
      0.333895587900755,
      0.374727956630599,
      0.408381104119861,
      0.388344832555372,
      0.348019842058543,
      0.340030070299677,
      0.371744016253786,
      0.407447082739787,
      0.395397891695859,
      0.346864805278374,
      0.319852563199291,
      0.333276778371072,
      0.37861794468516,
      0.416812334427375,
      0.394592010987584,
      0.348046588177086,
      0.329011781547705,
      0.35107263894647,
      0.387566403794285,
      0.385203597677298,
      0.359491914360704,
      0.345085844169557,
      0.343114070731178,
      0.345454752361046,
      0.347077707217223,
      0.355947003533927,
      0.365435736632981,
      0.353525001981941,
      0.330266917312088,
      0.324004163599903,
      0.341760069486458,
      0.35841923919998,
      0.363449752062111,
      0.367145536209342,
      0.366782807197568,
      0.360983914030046,
      0.363414496848465,
      0.371569337031523,
      0.369917671702522,
      0.359729024456299,
      0.358406241660617,
      0.374364970868158,
      0.381232865958858,
      0.360863518477989,
      0.336714464643885,
      0.333470994025719,
      0.349557530680015,
      0.36437148165924,
      0.363490336505538,
      0.358347457738174,
      0.357536434571032,
      0.368302694674254,
      0.385205068205197,
      0.380848629684276,
      0.352290704240348,
      0.325967750486434,
      0.323295701059187,
      0.338550003734313,
      0.347872434239541,
      0.3484124583238,
      0.3533321542553,
      0.362154572802432,
      0.374899056988956,
      0.371583633329835,
      0.345323622975826,
      0.330844798628182,
      0.350776135132545,
      0.389828257510156,
      0.39358955018661,
      0.35016586486018,
      0.321664084405797,
      0.333387844245891,
      0.369848396728539,
      0.39189769948085,
      0.367668249498261,
      0.330757256768334,
      0.320200419646721,
      0.347918918644641,
      0.396543145247611,
      0.409098107783096,
      0.366504788558533,
      0.324596282167695,
      0.327608065651241,
      0.36437873033662,
      0.373741686213485,
      0.340333336525589,
      0.333056584040195,
      0.380627430751796,
      0.42689030936821,
      0.420178122087615,
      0.396217462323838,
      0.399738882561085,
      0.416920683285426,
      0.41258164530482,
      0.393025515711921,
      0.37813850202716,
      0.384268968192292,
      0.38971375894827,
      0.368721610006327,
      0.341009875792581,
      0.332693185051597,
      0.347913994617152,
      0.366018719716745,
      0.359335922296393,
      0.333660028281815,
      0.327192515202131,
      0.350743791465866,
      0.364156110784403,
      0.341821533376652,
      0.327127371617114,
      0.354394639297699,
      0.398068254011265,
      0.396426095054251,
      0.355055879085841,
      0.332025171318987,
      0.345695419801663,
      0.377197405576933,
      0.381505469400447,
      0.347903774927726,
      0.323402028199843,
      0.331270942356552,
      0.369502033051919,
      0.410266022432662,
      0.402790325693945,
      0.357702635900534,
      0.330759869558907,
      0.336967983370807,
      0.345428346325962,
      0.333909961105683,
      0.319817297865958,
      0.317293971602742,
      0.317155504366645,
      0.32530328010172,
      0.346036883643455,
      0.360836966436148,
      0.351452049481822,
      0.309953741576137,
      0.249282114476554,
      0.184056149099081,
      0.123425293778582,
      0.0759000453350979,
      0.0191225427236591,
      0.0562640835224657,
      0.125328879794051,
      0.229744218938254,
      0.313602570741822,
      0.334296974103716,
      0.327946621579034,
      0.303992928194326,
      0.280772426636374,
      0.273667502418926,
      0.293106422586268,
      0.337271586475281,
      0.400141619936812,
      0.447222238098514,
      0.442442613939694,
      0.417480395701373,
      0.427611229711155,
      0.469927454855503,
      0.500982759539085,
      0.500414838758875,
      0.474358606991037,
      0.442732520432735,
      0.420738484448633,
      0.432521804568451,
      0.459553380755391,
      0.449795543370784,
      0.42446304648037,
      0.433450603241792,
      0.471467830542193,
      0.495740662940439,
      0.490124065663582,
      0.458549488134651,
      0.428792988853366,
      0.426382323516538,
      0.465688143834575,
      0.500864215101359,
      0.473046845285716,
      0.434161743770211,
      0.428277025621967,
      0.441695168735533,
      0.453625899405808,
      0.470803882618152,
      0.486305183917354,
      0.484223258474153,
      0.474894110424522,
      0.485260302767857,
      0.487531130155215,
      0.454468688342928,
      0.427443985439067,
      0.429490041761466,
      0.444977792440492,
      0.44106135025282,
      0.433240215044365,
      0.438916723184672,
      0.436536429589656,
      0.424745349689485,
      0.416838522478605,
      0.399567214156579,
      0.379000878870806,
      0.383098256900792,
      0.413058638303063,
      0.441410264725005,
      0.42633747371728,
      0.396553028898828,
      0.394242587823605,
      0.418886655204382,
      0.443120243220368,
      0.429659482209139,
      0.39131096674936,
      0.37153243614155,
      0.384577703207959,
      0.425001416981737,
      0.458990622940272,
      0.436618790473716,
      0.394460687439656,
      0.38360536658806,
      0.424053981536595,
      0.485543582139129,
      0.499855294993666,
      0.477361685344257,
      0.454882862689705,
      0.438302855782264,
      0.428138428514537,
      0.427227769198277,
      0.440765459807561,
      0.454345782563955,
      0.440236507799679,
      0.41518115802302,
      0.414395736334594,
      0.447571734943658,
      0.47369896705464,
      0.469837009651442,
      0.45664385363765,
      0.446484256039495,
      0.443562253781665,
      0.452740369438452,
      0.462873799107759,
      0.454900469659826,
      0.434955523063831,
      0.429357449672241,
      0.45252732649526,
      0.462228999828457,
      0.435713367187348,
      0.411950636482854,
      0.417901706679308,
      0.45427321297515,
      0.490509345861677,
      0.486888326835693,
      0.454710047768451,
      0.430186402040394,
      0.440953826756238,
      0.468970020038201,
      0.462426139974302,
      0.428558462706046,
      0.407284804827046,
      0.417568599990558,
      0.450568636819214,
      0.473744488944189,
      0.472891415383799,
      0.456756400220347,
      0.439597477762081,
      0.43988172346292,
      0.431400017409424,
      0.40023905017616,
      0.382517123671634,
      0.398241596640523,
      0.432405197833191,
      0.436286407994618,
      0.397947843487491,
      0.375213393569361,
      0.391838276923982,
      0.43176728300706,
      0.455623890604819,
      0.429768285774078,
      0.390165765059108,
      0.373940880666129,
      0.391450732341545,
      0.431187921610126,
      0.445140399828153,
      0.409693690795063,
      0.370957972667169,
      0.359412764665381,
      0.359164452535635,
      0.342354340493819,
      0.324465103145125,
      0.348506551997094,
      0.40626800773838,
      0.437577466382272,
      0.416108954394421,
      0.388627026731386,
      0.389275533718661,
      0.405878300957646,
      0.415087475172726,
      0.422207762540471,
      0.43659879591547,
      0.467886904312743,
      0.488790905533919,
      0.469255391426457,
      0.438287821471216,
      0.426789645754486,
      0.442626844686738,
      0.470609021827059,
      0.479608907541333,
      0.45323048985529,
      0.4238202183661,
      0.420119034442471,
      0.416306571924803,
      0.389803864466993,
      0.37533231471876,
      0.397967402932865,
      0.435653808082274,
      0.432640116818271,
      0.398208323904979,
      0.386272397172316,
      0.408372054854694,
      0.440381009161424,
      0.439540520755097,
      0.401763070688014,
      0.374871321383637,
      0.379801978702195,
      0.413438764897074,
      0.452545041630122,
      0.445549679707672,
      0.401760084949975,
      0.372102229178652,
      0.373468975847087,
      0.377661459358096,
      0.357139968544227,
      0.337763621553124,
      0.327886631395334,
      0.317742616264766,
      0.318548572342324,
      0.34235418835355,
      0.361722373177994,
      0.354586127258579,
      0.323679609275262,
      0.275061737839373,
      0.213477759932762,
      0.140171162973054,
      0.074688409033821,
      0.018645142405804,
      0.05777519040321,
      0.12956485473316,
      0.236501109805194,
      0.320032982482993,
      0.336885439313258,
      0.325404966595748,
      0.29698872494836,
      0.276192371725531,
      0.275174924872841,
      0.299390737479199,
      0.343768856699196,
      0.40959618275751,
      0.469075348512348,
      0.476517125104934,
      0.452472259231463,
      0.451637701646287,
      0.481477416517366,
      0.507890965365424,
      0.507290101032082,
      0.479924161956528,
      0.454183148441146,
      0.447665706416929,
      0.471788234774854,
      0.495149720373405,
      0.476584115092675,
      0.450390309203254,
      0.457714710776951,
      0.490443038479071,
      0.512285684370758,
      0.510037551707473,
      0.477227421224855,
      0.433415283664534,
      0.41129534671879,
      0.437231672937433,
      0.47555109942533,
      0.467010927133792,
      0.449600537374029,
      0.461226957555908,
      0.482857711108132,
      0.489983776667545,
      0.496508807328206,
      0.502535255064765,
      0.49374562926759,
      0.481086649886332,
      0.491747109786462,
      0.494064118487811,
      0.462981495932729,
      0.444302528543664,
      0.457517804747811,
      0.477271905584824,
      0.472273366117342,
      0.472142667412651,
      0.491402997590225,
      0.482653390376774,
      0.440942321559743,
      0.417817444580488,
      0.41578330842634,
      0.417911107122304,
      0.430055448277444,
      0.452401193971809,
      0.467478379781849,
      0.448558953790069,
      0.42870045585883,
      0.431082099293388,
      0.439774020578857,
      0.438425609726148,
      0.424473774862502,
      0.408705455176343,
      0.408523304187824,
      0.427376091962418,
      0.458478177458945,
      0.475752251224941,
      0.451772496055143,
      0.425857404807456,
      0.427974665217976,
      0.466556856003653,
      0.510515404410729,
      0.502216121626947,
      0.469275899029174,
      0.452098509656875,
      0.448515856907561,
      0.452067523354833,
      0.463772853172224,
      0.471126660108812,
      0.451714720369215,
      0.424354956420908,
      0.430366962889431,
      0.463951567941869,
      0.485709775622597,
      0.478068448560311,
      0.467035978290897,
      0.464807879525981,
      0.465328062956243,
      0.473166671316094,
      0.476841775505932,
      0.454451949670521,
      0.429140915647063,
      0.434033305136825,
      0.462689577297655,
      0.481590588852958,
      0.461275542591422,
      0.435738566741965,
      0.444872743542004,
      0.478996404350621,
      0.518693204481053,
      0.5332337062518,
      0.503864767852876,
      0.463532718966498,
      0.449490241770172,
      0.471764897073319,
      0.486155167357708,
      0.458973492840989,
      0.434478453272683,
      0.443678924369314,
      0.476986873251558,
      0.513742734019585,
      0.525565095294405,
      0.509714281619009,
      0.480752356786705,
      0.451666922926826,
      0.444264708255541,
      0.440426302341426,
      0.427253897908171,
      0.424533615221422,
      0.440362703937679,
      0.461659566180018,
      0.455618776677994,
      0.422030164144139,
      0.41024213598397,
      0.426705948368595,
      0.448300160186295,
      0.453248295775351,
      0.43443657880406,
      0.419819110439392,
      0.421864294915657,
      0.43834297253651,
      0.459650613993949,
      0.460012413766505,
      0.431816449476843,
      0.404227736201438,
      0.385134989045807,
      0.364740575318372,
      0.34126514636143,
      0.331025575981472,
      0.357295149992359,
      0.402920134701358,
      0.417359744977074,
      0.397912169066811,
      0.394368684102305,
      0.416433444667186,
      0.432437933553739,
      0.425859564436536,
      0.428782137551194,
      0.45214276791167,
      0.485526870283219,
      0.500808530430157,
      0.488415332998041,
      0.478851560281626,
      0.482276068666047,
      0.495597604399361,
      0.506359586103832,
      0.49892294712385,
      0.462160765716556,
      0.418968970413425,
      0.404563414340519,
      0.409966345293314,
      0.412913653482622,
      0.421588925540485,
      0.44573569527885,
      0.466841310181829,
      0.450440350760175,
      0.419511509347777,
      0.414618762985748,
      0.432765986038939,
      0.449580182348807,
      0.443187485530561,
      0.418162644092242,
      0.408562070407982,
      0.4207448434189,
      0.444821661340792,
      0.463488881324737,
      0.449459955201763,
      0.420008844587875,
      0.398652887026416,
      0.385742596133756,
      0.372477075170557,
      0.350029434660442,
      0.332608783336466,
      0.331673607911517,
      0.341390949309527,
      0.349611604497285,
      0.351069673701798,
      0.339053342711728,
      0.319497110894702,
      0.291321803490923,
      0.249276147902437,
      0.197120444348525,
      0.132979040045978,
      0.0754545102129145,
      0.0228639592698348,
      0.0664101118589654,
      0.141555933307104,
      0.24703269548713,
      0.323835758937313,
      0.338981272753714,
      0.334851097936813,
      0.322433816447503,
      0.320487056624852,
      0.318846570616092,
      0.307887082713968,
      0.304883424564675,
      0.3395230640503,
      0.393810226682044,
      0.416760827979395,
      0.398942524445683,
      0.376425862098437,
      0.36904742251448,
      0.371997316369713,
      0.375772104757337,
      0.364831210936175,
      0.357629068336008,
      0.365797908659903,
      0.394535596795081,
      0.418418833578796,
      0.412883318765488,
      0.391312722047741,
      0.376650235624152,
      0.376777056914609,
      0.382859493237833,
      0.38811193448189,
      0.372847243915293,
      0.349630678896147,
      0.341725093409347,
      0.369261944545569,
      0.408346595764256,
      0.40965861193311,
      0.397847145913397,
      0.4074698102565,
      0.428437376269594,
      0.437397111183204,
      0.440064923125627,
      0.435546512374168,
      0.416478024382392,
      0.404569878055312,
      0.4201967207375,
      0.428568517117045,
      0.403490705607763,
      0.386602524416374,
      0.399228393580731,
      0.419484593666616,
      0.422748800156539,
      0.427778335157206,
      0.441830381963202,
      0.434819835941559,
      0.403975266095067,
      0.380263726530518,
      0.364005124236878,
      0.352066826414804,
      0.356505044433704,
      0.373588408216595,
      0.387238886830756,
      0.381280743085549,
      0.374003245480645,
      0.375554708952605,
      0.375376722480899,
      0.370601776269418,
      0.363966814671213,
      0.352790292592023,
      0.348311169887591,
      0.357432755263639,
      0.380532026543406,
      0.399833839071553,
      0.388118907733033,
      0.369317029860561,
      0.368533255731532,
      0.389404160529639,
      0.407273201080654,
      0.380707774411401,
      0.339654349500152,
      0.322164521422592,
      0.325837846832888,
      0.342767618969527,
      0.367200044941443,
      0.382462892667364,
      0.364004862025954,
      0.338267670497509,
      0.344828247103292,
      0.371491507719383,
      0.374777251722973,
      0.349623575568443,
      0.334849923686354,
      0.339828812459983,
      0.356068860980316,
      0.379670322505499,
      0.392678640259569,
      0.371407916522397,
      0.346752203202586,
      0.354593524328697,
      0.383700675718788,
      0.398174677916849,
      0.382484803892608,
      0.369233479047753,
      0.383463394253041,
      0.409675417116167,
      0.425292155013824,
      0.415058984049043,
      0.382360574354042,
      0.358921397179834,
      0.363685706620788,
      0.394434007966726,
      0.409977190992956,
      0.389292594158013,
      0.375218827166094,
      0.388224495947278,
      0.409404879310613,
      0.421759902200718,
      0.41680659414749,
      0.398553837857342,
      0.375538081264235,
      0.354774731071473,
      0.353872847199879,
      0.358774730477041,
      0.35377475405433,
      0.353997403766466,
      0.368708778582576,
      0.386338733061352,
      0.382971283763453,
      0.358400664760889,
      0.347303541304088,
      0.355156831082217,
      0.368595498428874,
      0.375028421536146,
      0.364323934215607,
      0.352811738602489,
      0.353338624281921,
      0.365132389086556,
      0.381282408294996,
      0.383039025270425,
      0.366465817923333,
      0.349833049883441,
      0.337132815533665,
      0.325215182690507,
      0.317345016625766,
      0.319570209668943,
      0.344466700861145,
      0.384906037574801,
      0.402064713278578,
      0.397011061001788,
      0.406879987976284,
      0.430011579397492,
      0.430618907163618,
      0.397376851405419,
      0.373826583700544,
      0.374332372166184,
      0.385106674223875,
      0.384582199565277,
      0.371259553637553,
      0.366290077177323,
      0.372754089728959,
      0.384326964290587,
      0.388962185850194,
      0.377211914219783,
      0.350207721803938,
      0.327459869235686,
      0.328699253007731,
      0.341727566370247,
      0.347169600779324,
      0.352217989083124,
      0.367368225684838,
      0.380151944418436,
      0.369312802255431,
      0.348907389926139,
      0.345652845447997,
      0.357545918265514,
      0.369875428660628,
      0.367576455113055,
      0.350253281183513,
      0.341927006982319,
      0.349471686154188,
      0.369212868011307,
      0.389515048031124,
      0.386751398458913,
      0.368610139032347,
      0.359444147869402,
      0.362744653391984,
      0.360560226360858,
      0.331427298691144,
      0.306591853115335,
      0.322780377837256,
      0.363166300936737,
      0.382312093154753,
      0.360553810520535,
      0.324128127812835,
      0.29998048937376,
      0.271343073873144,
      0.225472250284785,
      0.169803711523534,
      0.11165177729694,
      0.0683089053110215,
      0.0217493459922632,
      0.0623530073868886,
      0.131911410521331,
      0.23014339461815,
      0.304431428594511,
      0.327004327821677,
      0.337862785449563,
      0.344551777123934,
      0.356156569453227,
      0.348982331225054,
      0.314614675695297,
      0.2861278941026,
      0.29804495075385,
      0.335154896346078,
      0.35380434707716,
      0.339685707580933,
      0.313479967008482,
      0.29671368466355,
      0.298975897792832,
      0.309264039289593,
      0.300996363571148,
      0.291597484863577,
      0.299248267831999,
      0.325209746088817,
      0.347976419463263,
      0.350386016045902,
      0.334344049774386,
      0.310532298341633,
      0.294534723174753,
      0.297152476173533,
      0.310834564226422,
      0.308162101656698,
      0.295199186400507,
      0.297209839920933,
      0.324233238351519,
      0.344091276137568,
      0.321376347811942,
      0.300576144074257,
      0.319207567642803,
      0.360695957082252,
      0.389023683048013,
      0.395866841761353,
      0.386523702733631,
      0.362038104864177,
      0.345764226949591,
      0.348523336172803,
      0.342021426649029,
      0.30935529216481,
      0.294394663488917,
      0.319469727040247,
      0.363438427926832,
      0.388960404345772,
      0.391273182480691,
      0.382579692762778,
      0.364162579200416,
      0.34796404666453,
      0.335028406029558,
      0.31093692868646,
      0.285373322824096,
      0.283374402548605,
      0.305302175724726,
      0.331547699713106,
      0.332607114223308,
      0.319331285626184,
      0.315076088609251,
      0.320158994688522,
      0.327619740580175,
      0.320603349080032,
      0.297698849677994,
      0.28257769112489,
      0.290100939508906,
      0.321804755199132,
      0.352527413486224,
      0.342712923281602,
      0.316342774203747,
      0.313066041383036,
      0.335917993209504,
      0.347359154078484,
      0.313194976613296,
      0.272323017544062,
      0.25005937250377,
      0.244219707455907,
      0.258983492219245,
      0.291341168528034,
      0.321463606092927,
      0.322366102120197,
      0.305907622999693,
      0.302506561986809,
      0.311219930307168,
      0.309390929161966,
      0.287253817478922,
      0.265834318603183,
      0.26027449791777,
      0.274864224894835,
      0.307050013910215,
      0.336037407523358,
      0.332744075415086,
      0.311560366067601,
      0.304863538572408,
      0.318543906699986,
      0.335207601565708,
      0.330688327753759,
      0.314676701633119,
      0.31233206218919,
      0.326573794605712,
      0.345059736498895,
      0.347391494928265,
      0.325201090111244,
      0.3001203663901,
      0.297572728800437,
      0.3251960181375,
      0.351909604471203,
      0.341207186944546,
      0.317364786784025,
      0.315163117446859,
      0.330329981579694,
      0.344807376018719,
      0.345004862833395,
      0.329741762259116,
      0.30605192960406,
      0.287631978543331,
      0.293657560771151,
      0.305207927518979,
      0.296809388162757,
      0.288853191547251,
      0.3012801407224,
      0.326257366461863,
      0.332076958546295,
      0.307922835793533,
      0.288636513550794,
      0.292534660006287,
      0.312530443137895,
      0.326572745364876,
      0.312314966998931,
      0.290196477066952,
      0.285213058015859,
      0.302435533556039,
      0.332937056110511,
      0.342943821370581,
      0.320915263488853,
      0.298635391199142,
      0.294523313993019,
      0.299880442692873,
      0.29655049002616,
      0.292368085366017,
      0.314164849835904,
      0.361840010511115,
      0.395326782617308,
      0.400336570581147,
      0.40228681396394,
      0.410437423764382,
      0.404920561597777,
      0.377149938507975,
      0.354177366907352,
      0.34449074447644,
      0.34603143764713,
      0.341548762991903,
      0.325332495650018,
      0.314809478040134,
      0.317789513997327,
      0.332194441493027,
      0.346950168973602,
      0.342013518062462,
      0.314927374285625,
      0.292932109720898,
      0.294618817354671,
      0.300628037364763,
      0.292200930298349,
      0.288674866183167,
      0.305535945416408,
      0.328474588730674,
      0.323273439572992,
      0.298016030129675,
      0.288120994424445,
      0.301519554097897,
      0.324497313474208,
      0.327930468651754,
      0.304439305725428,
      0.286161592681811,
      0.290206845957124,
      0.315707050657569,
      0.345811502852857,
      0.344098690761372,
      0.318443302667586,
      0.315919711714747,
      0.352399897988199,
      0.378373791511641,
      0.345503915000048,
      0.313569551252356,
      0.319190415123571,
      0.336169834725174,
      0.340281155915959,
      0.336008687052154,
      0.335581300484999,
      0.33260382337548,
      0.306590385366888,
      0.251231089434581,
      0.178970585258595,
      0.108848815248546,
      0.0648830145685867,
      0.017309876925909,
      0.0515279709911024,
      0.113348257550393,
      0.205711748011312,
      0.278443418466654,
      0.29778612788907,
      0.306117083090665,
      0.315754779893947,
      0.327245686483448,
      0.321514674890553,
      0.298290831350849,
      0.28286712146009,
      0.293863026909164,
      0.312522479090316,
      0.310593917123562,
      0.292450774380335,
      0.278170800969129,
      0.275470264255245,
      0.283844005193804,
      0.295533258083207,
      0.290162112669865,
      0.276261219561272,
      0.273788332887067,
      0.292475608898578,
      0.310210415449471,
      0.301572572990051,
      0.28142660715829,
      0.270495614901062,
      0.271686909766266,
      0.282198785323942,
      0.296993967258587,
      0.302175593872454,
      0.297726928117425,
      0.303607903182173,
      0.323803598973724,
      0.327454332759216,
      0.292938737431456,
      0.266508752734638,
      0.278086034789804,
      0.311200018013972,
      0.338078457599969,
      0.345114800213739,
      0.339862151870525,
      0.329864924608855,
      0.326789107528365,
      0.325430126559856,
      0.306534861231407,
      0.271556891966255,
      0.258806263266778,
      0.279918253577503,
      0.31783166410404,
      0.342793349420466,
      0.346385807246454,
      0.339046654468257,
      0.319357831500343,
      0.301217993065293,
      0.294639295216152,
      0.288623458076714,
      0.277801064173258,
      0.276476832354634,
      0.291430991206186,
      0.309526807557161,
      0.305889872820417,
      0.29171486534002,
      0.291717137396878,
      0.304917348052287,
      0.316198507700204,
      0.307962989153093,
      0.286302597214317,
      0.276519712524463,
      0.285285639199916,
      0.309020593467445,
      0.326562609801174,
      0.311280878169165,
      0.289811904130413,
      0.29397819568658,
      0.323295928984195,
      0.335150370747984,
      0.296153082391614,
      0.254815389158201,
      0.235539202152229,
      0.229079296848832,
      0.236313180012242,
      0.259926708153356,
      0.292581743427996,
      0.308723308712497,
      0.302634574459801,
      0.300908577146217,
      0.31058762638031,
      0.309114745978366,
      0.280058934351745,
      0.249537478650187,
      0.240297267886854,
      0.24953839842939,
      0.272979551651011,
      0.30252717468936,
      0.313642726301557,
      0.303417946536836,
      0.296782413237329,
      0.306846694459175,
      0.319963098226136,
      0.304480361597734,
      0.275355616143539,
      0.267901043872443,
      0.2872360420039,
      0.315880953056056,
      0.32545924782307,
      0.308108990903631,
      0.286131033395184,
      0.286808568769667,
      0.316595886560576,
      0.341838913847352,
      0.319424470370107,
      0.279533530107562,
      0.270260143437972,
      0.291094413272107,
      0.316783859387613,
      0.323821939677291,
      0.312100441312305,
      0.292310478174213,
      0.274674945531434,
      0.27762789420312,
      0.291731979151691,
      0.289221503989679,
      0.280363464709551,
      0.285675313766398,
      0.303086675571807,
      0.305332813904068,
      0.283236311052201,
      0.268495768450251,
      0.275651279795241,
      0.294498529214638,
      0.306160593604055,
      0.296830167280391,
      0.283558254721333,
      0.283405821818699,
      0.297293832644911,
      0.318116053463128,
      0.318169982564808,
      0.291251685683966,
      0.269917569607847,
      0.276086252918165,
      0.302328985477877,
      0.30703637115217,
      0.287135822596188,
      0.295726885338878,
      0.352362999176261,
      0.406499007370154,
      0.413398578318497,
      0.40202782109663,
      0.402662036725344,
      0.402664247729633,
      0.386811890987729,
      0.370796193945936,
      0.358645681077881,
      0.354329259693951,
      0.347507181186018,
      0.331694249635348,
      0.32100062961704,
      0.322764105137076,
      0.336226878560808,
      0.348403561679496,
      0.337452729973095,
      0.305006799006509,
      0.279083172728349,
      0.280374243475501,
      0.291252926217691,
      0.287970749621723,
      0.284809640551019,
      0.296748742558677,
      0.312677664937503,
      0.302988815379701,
      0.278908520813154,
      0.27139955903072,
      0.284770467288233,
      0.303466928103156,
      0.305613228444184,
      0.289361498616889,
      0.279176909784087,
      0.284854050617294,
      0.303064652176623,
      0.32079919126111,
      0.311716023726494,
      0.288328022285353,
      0.290545694223494,
      0.333899426926302,
      0.371349605022669,
      0.348132005994541,
      0.3078258319241,
      0.28542037421713,
      0.277238776804978,
      0.281543557197996,
      0.298241490085313,
      0.31111198775242,
      0.306803361327881,
      0.283336223035759,
      0.237294419988649,
      0.174889308613131,
      0.111037096636237,
      0.0661883750029912,
      0.0155114964001887,
      0.047083188330402,
      0.106097699184678,
      0.197904756193589,
      0.27237851578834,
      0.285166812394766,
      0.275403818038347,
      0.264732842414456,
      0.262745480901856,
      0.266755853352511,
      0.277577457749241,
      0.297806060513092,
      0.320417689450905,
      0.320237648921587,
      0.290006776966114,
      0.263415783983911,
      0.267152783066446,
      0.290403537754176,
      0.306473218164332,
      0.305455644273089,
      0.291593185328044,
      0.280340176765243,
      0.283740565514277,
      0.302444328911119,
      0.308411887891818,
      0.280865234110447,
      0.257513011279953,
      0.266805634049151,
      0.292368617403307,
      0.306420370146099,
      0.30683304528659,
      0.30609872028499,
      0.310398803288572,
      0.323764838084857,
      0.34306612309337,
      0.347175112841673,
      0.320458079890809,
      0.296061770998036,
      0.295386961699424,
      0.3074334797431,
      0.32104841907032,
      0.326600481369541,
      0.324712064951723,
      0.322280417789772,
      0.327148970423561,
      0.333937808814914,
      0.325624126337634,
      0.300762944742272,
      0.284183502579174,
      0.286663605407789,
      0.301972643710623,
      0.315709022384827,
      0.321172666386642,
      0.324554919103144,
      0.313698774603212,
      0.293134892737959,
      0.28550690413285,
      0.288406376660781,
      0.29106089737383,
      0.296518627259736,
      0.307429497895742,
      0.315667719073881,
      0.310465210238691,
      0.304466526622805,
      0.31109806414904,
      0.321789753982438,
      0.324008860600858,
      0.312428625537709,
      0.297656470318636,
      0.295121417870318,
      0.303055374354808,
      0.318712180655171,
      0.329732869238962,
      0.317933977445677,
      0.303322135823685,
      0.306688074398894,
      0.331869318218322,
      0.349008510932285,
      0.316530737308028,
      0.271395420878634,
      0.247477584253191,
      0.240691525398645,
      0.245076610747367,
      0.257907126750631,
      0.278313311704633,
      0.289572011122384,
      0.28622495968776,
      0.295383068048141,
      0.324629289303772,
      0.337391828670109,
      0.306299361491577,
      0.269138308635455,
      0.25722202614755,
      0.2588498304232,
      0.266068268877219,
      0.283417704267726,
      0.293973461011984,
      0.288100753138017,
      0.289335756803938,
      0.313281540077087,
      0.339764158899895,
      0.325821326728064,
      0.290147569548241,
      0.278102283258408,
      0.292842084153399,
      0.310247916703483,
      0.30704008100471,
      0.290111630064189,
      0.279524798226283,
      0.289210774150683,
      0.321664802386928,
      0.349373185923603,
      0.330658891519022,
      0.291876947020908,
      0.281457193984341,
      0.299119679323846,
      0.314953512782708,
      0.308714055084223,
      0.297672404502005,
      0.293243331689266,
      0.285249396113386,
      0.282720688600312,
      0.290667492084631,
      0.29431556080707,
      0.294651949509243,
      0.301191307876696,
      0.310401206169759,
      0.306607077857304,
      0.292488005066276,
      0.290294069768777,
      0.299095672679157,
      0.305914347262652,
      0.304780541427915,
      0.296598143026047,
      0.291034124012695,
      0.293122316849574,
      0.302958000597584,
      0.31786306616657,
      0.31864682040963,
      0.300692508327775,
      0.287080506864486,
      0.295429584270246,
      0.320370659946861,
      0.324697224845719,
      0.305847336407408,
      0.319489244357098,
      0.386372590004996,
      0.444111157914574,
      0.438757101230826,
      0.411195997275756,
      0.403737277391893,
      0.40069502371986,
      0.381262409074368,
      0.36377566458976,
      0.354461355219819,
      0.355722135882222,
      0.353544722011817,
      0.33712697867101,
      0.320384868744832,
      0.316047259011814,
      0.326889651906903,
      0.336788629514832,
      0.322776081617291,
      0.287134959731826,
      0.258468604821455,
      0.260944651013962,
      0.282000881269999,
      0.292578171700455,
      0.294821980711383,
      0.30256634996055,
      0.312214926404038,
      0.304950828948795,
      0.290810088187886,
      0.290354730398305,
      0.29939213222859,
      0.304591544605994,
      0.300002148405173,
      0.292897159721282,
      0.295310727381863,
      0.305493587606755,
      0.318905934080176,
      0.327907018305369,
      0.317599628118919,
      0.300565516633678,
      0.299999712394325,
      0.327115193387931,
      0.355196101996181,
      0.345478937582084,
      0.313269234372825,
      0.288144990125817,
      0.277369912380356,
      0.277334581042674,
      0.281490860237349,
      0.278444880871777,
      0.267342555158692,
      0.244205611320659,
      0.205156843123994,
      0.156977587724122,
      0.108657726987502,
      0.0702798286629517,
      0.0171272296851145,
      0.0546061980351355,
      0.121419183564504,
      0.217430258170134,
      0.285889818637551,
      0.294223838838825,
      0.282873117587966,
      0.262194445532871,
      0.24929474916026,
      0.249829043346059,
      0.269054239661515,
      0.306259898079736,
      0.342939789041441,
      0.344328159885869,
      0.309826176316434,
      0.284949461063561,
      0.297838048151187,
      0.333066218428436,
      0.354345821320118,
      0.347453811617334,
      0.322765144816716,
      0.305824655266031,
      0.308772707573283,
      0.327186535639409,
      0.331292522399075,
      0.303041356433068,
      0.284602362215092,
      0.303752271787743,
      0.340652206388549,
      0.358726355712767,
      0.34961097464373,
      0.328645182771421,
      0.315731326108401,
      0.314509808249247,
      0.331297301603408,
      0.360478224172204,
      0.366644187835829,
      0.353417290675906,
      0.347360183094472,
      0.351021788963424,
      0.355763042318203,
      0.355292414306768,
      0.354253317252356,
      0.356482575186433,
      0.359657638608435,
      0.368590957510347,
      0.373023989574526,
      0.360138342323403,
      0.344389837960822,
      0.342567382653898,
      0.349989731423303,
      0.34672407473353,
      0.33169300795853,
      0.324490158735972,
      0.318344431007816,
      0.311867407175218,
      0.315587581803884,
      0.314077999591703,
      0.306905383884796,
      0.313478769363782,
      0.33945314155812,
      0.363128881505744,
      0.354389206794744,
      0.328371624153596,
      0.316108563130008,
      0.322670694488559,
      0.335095832272755,
      0.329544242732068,
      0.308433834394372,
      0.299116684914259,
      0.312196291776383,
      0.345314998137717,
      0.374899877524919,
      0.363517486467537,
      0.333890322846724,
      0.323706658504493,
      0.342488435308559,
      0.363225794439624,
      0.341138587685735,
      0.304806364847916,
      0.287357381668245,
      0.285565099684469,
      0.29357218678954,
      0.307950956388306,
      0.325269711542214,
      0.321495436666112,
      0.295769253539675,
      0.288132392655194,
      0.315567921130956,
      0.343141029854271,
      0.332883118552232,
      0.311049183094112,
      0.305496223322863,
      0.309302113830165,
      0.316511607421777,
      0.329048996871544,
      0.328548114904787,
      0.312220657619215,
      0.308415146776003,
      0.330444723010706,
      0.356880310817542,
      0.352007682769577,
      0.325274840916838,
      0.311629198749198,
      0.319490373906852,
      0.333534680391756,
      0.334961859623392,
      0.323702710728084,
      0.319078613356281,
      0.326714685851309,
      0.344495826416684,
      0.358707595073789,
      0.349516922021286,
      0.328235803212529,
      0.317597903065347,
      0.323546774910184,
      0.331847551398761,
      0.327043877051789,
      0.320515144848212,
      0.321449744164422,
      0.320158922838316,
      0.322170712637999,
      0.323491902992151,
      0.312750101256732,
      0.304371959934889,
      0.317895219104399,
      0.345283087336623,
      0.35132221635242,
      0.325832418908394,
      0.304511232185978,
      0.303586003669667,
      0.317582042941667,
      0.329261065355921,
      0.317955727270265,
      0.300176585990443,
      0.298550858077265,
      0.32031048512999,
      0.355094294220777,
      0.36727275375334,
      0.341202413693256,
      0.312222118292159,
      0.308196391515272,
      0.323145676559754,
      0.332729278585809,
      0.333215727797012,
      0.359735829875423,
      0.423200678878284,
      0.465724393775742,
      0.447303031700755,
      0.410058135970869,
      0.395832181514357,
      0.388047316840949,
      0.366250354124653,
      0.352935828919156,
      0.350987872618299,
      0.35521809863378,
      0.351783664336308,
      0.334993272066495,
      0.318599387785896,
      0.313950708930585,
      0.32283765393654,
      0.327375069629715,
      0.308449586775081,
      0.278059756025787,
      0.267950243187144,
      0.288223799335317,
      0.308531969695731,
      0.304650435611656,
      0.302180902314336,
      0.323567742578295,
      0.353424624177165,
      0.352764381311141,
      0.32566174507956,
      0.307723803069721,
      0.310851066305161,
      0.326176376780885,
      0.329360286802804,
      0.311248857692725,
      0.298934205749781,
      0.308345154834263,
      0.337660988829744,
      0.367230313638699,
      0.36312862584778,
      0.334335564305598,
      0.320541380976744,
      0.33237561410415,
      0.338411449616909,
      0.318483187357751,
      0.298231401998546,
      0.298055584553827,
      0.307673183105448,
      0.318068496880773,
      0.32148190226219,
      0.310676981245624,
      0.287475175487206,
      0.249787517583382,
      0.201244897548334,
      0.149515160825311,
      0.103157894737201,
      0.0647387408325076,
      0.0295655537329018,
      0.0935257276951518,
      0.197934344993646,
      0.32374654292027,
      0.393817731530612,
      0.407359103392156,
      0.416481865592896,
      0.399432550604074,
      0.382099129003985,
      0.368656292108828,
      0.355660232165707,
      0.359395884907177,
      0.385897122853484,
      0.404043890846931,
      0.383913874276847,
      0.356213573994184,
      0.362600168198387,
      0.40024668605827,
      0.428621930850262,
      0.427691185333349,
      0.400882666784503,
      0.368655234027959,
      0.349977929485434,
      0.365757766154153,
      0.393836600010792,
      0.384134927108004,
      0.360035384494321,
      0.368451060456052,
      0.403359191753018,
      0.426740464663539,
      0.424662038195424,
      0.400833080957282,
      0.374507329194839,
      0.359726110835442,
      0.375776912913248,
      0.409675417236274,
      0.411379782798417,
      0.39530976068023,
      0.397823366552824,
      0.415534433485468,
      0.427859451019199,
      0.434642171211141,
      0.441706237402289,
      0.441842810593992,
      0.431995341107796,
      0.429847269821801,
      0.426677624487665,
      0.40537301359465,
      0.388884514783195,
      0.395530764900667,
      0.413502009857657,
      0.41170404208105,
      0.397452133465469,
      0.397046139622619,
      0.399809723311935,
      0.402823605502677,
      0.424117309330621,
      0.424821635567618,
      0.385527734407552,
      0.354990123034427,
      0.372507915769921,
      0.426133633936032,
      0.439457121712888,
      0.400294454429424,
      0.360380323394061,
      0.352626727966468,
      0.38287423777897,
      0.412629455398546,
      0.398988654392135,
      0.363584929776342,
      0.347600275475144,
      0.379484529474726,
      0.441858816485755,
      0.451007926537564,
      0.403883104267975,
      0.360344453390251,
      0.359876622661532,
      0.39641588037315,
      0.403741829972365,
      0.37903730442562,
      0.358934848536259,
      0.353598744350642,
      0.366942410249959,
      0.392886825870146,
      0.415105926658429,
      0.405738375337087,
      0.367229220321181,
      0.341543847752835,
      0.353779131023265,
      0.38692795882095,
      0.396064785434776,
      0.383101486677978,
      0.376442208901417,
      0.383825616273757,
      0.400256712781292,
      0.415843844327881,
      0.408816414138732,
      0.381037797554796,
      0.36476730277263,
      0.378273947422088,
      0.408486588381925,
      0.413154676621385,
      0.389242773729388,
      0.370812383343241,
      0.372998595267724,
      0.395918785867526,
      0.42082544768116,
      0.417690117004069,
      0.397885315584747,
      0.386351937960459,
      0.394556275303951,
      0.405974666450617,
      0.396341469764097,
      0.376864014278611,
      0.364339481090366,
      0.369171471394394,
      0.389491172025975,
      0.405111492174834,
      0.407635844478787,
      0.404043418736764,
      0.398756077011544,
      0.412937301158128,
      0.431687871563246,
      0.412149787340658,
      0.371223581453276,
      0.360508217891533,
      0.397657597770502,
      0.433406074922505,
      0.410105123079034,
      0.365531685679796,
      0.344080585066387,
      0.36295850670599,
      0.412457048476739,
      0.428553653378073,
      0.395410609017583,
      0.355607252723153,
      0.353321614197249,
      0.400792536872324,
      0.447704672139332,
      0.428439900645043,
      0.373268935198572,
      0.333385697928968,
      0.32392477719482,
      0.326656176707144,
      0.31995890537401,
      0.340809905815788,
      0.407477145834345,
      0.460595969200426,
      0.446540538573254,
      0.40286737081254,
      0.383700494800282,
      0.38729499616443,
      0.390029332053547,
      0.39686763759093,
      0.405429084311813,
      0.419741571558608,
      0.424898955917202,
      0.402037906516933,
      0.372861564246233,
      0.363118329178657,
      0.377743376603289,
      0.399503086585047,
      0.399162744971622,
      0.37560346715685,
      0.364732477799232,
      0.395130245898673,
      0.424440046903234,
      0.395015184532679,
      0.352680384816524,
      0.359350305819211,
      0.411412769954348,
      0.437703937985387,
      0.405352718938113,
      0.363175388167188,
      0.349485379176411,
      0.374193227346134,
      0.41065559518094,
      0.405794242885527,
      0.372351866414963,
      0.349205294848981,
      0.36631874962684,
      0.422593059259631,
      0.450923439390441,
      0.416355189279328,
      0.368158096494726,
      0.342114502345506,
      0.32860831669247,
      0.309597221925273,
      0.294093363917133,
      0.292284091103053,
      0.296130621107949,
      0.314871549817078,
      0.344617795666189,
      0.353605521102397,
      0.336958622266028,
      0.299499619217507,
      0.243709730600716,
      0.173780066132296,
      0.102791789860911,
      0.0548713777573739,
      0.0500498772360782,
      0.142361528501582,
      0.286982678605948,
      0.455296301110676,
      0.537885880778495,
      0.536051399923503,
      0.527652790799262,
      0.504506671357851,
      0.499784397414568,
      0.498635707808601,
      0.473269375311009,
      0.449959024092577,
      0.466170509544995,
      0.497934440539072,
      0.485606273982674,
      0.456270088187309,
      0.461117517331293,
      0.493349388966536,
      0.511644221483683,
      0.503478608197411,
      0.478361156453578,
      0.45146940253703,
      0.439094510917439,
      0.466281498700182,
      0.503115432518706,
      0.491659429648106,
      0.460581575185119,
      0.464587729780946,
      0.493349153764292,
      0.50646050141278,
      0.497142965935728,
      0.466650514993763,
      0.432676626241443,
      0.421405053993651,
      0.448929561652719,
      0.472513640204051,
      0.443356202824694,
      0.415307922322015,
      0.431892740812281,
      0.473381985503527,
      0.500304064561227,
      0.509437028954833,
      0.505577361743816,
      0.488479712915526,
      0.472912104312071,
      0.476817164470351,
      0.46890361411837,
      0.428391965147619,
      0.405789166300967,
      0.427216987231401,
      0.47074517900772,
      0.486365180292877,
      0.482517689193102,
      0.492204562541727,
      0.502477390272005,
      0.498126686036667,
      0.505015953709146,
      0.497088504334232,
      0.454613498423202,
      0.421903764591549,
      0.432175197104221,
      0.478746645638418,
      0.487861989392318,
      0.456542223142114,
      0.433750224820673,
      0.437913266172358,
      0.467579851171648,
      0.496628668682687,
      0.484611580728111,
      0.447237327190135,
      0.422533910612597,
      0.441422183205184,
      0.488341659054679,
      0.484101761202746,
      0.438870422050822,
      0.405231930476471,
      0.41981426919273,
      0.468266006410144,
      0.476844510387735,
      0.451285002659653,
      0.432206998927119,
      0.428556337122213,
      0.443487367381559,
      0.470489667392286,
      0.486394499697477,
      0.469228834180025,
      0.433500534443247,
      0.428398575179316,
      0.459488112153635,
      0.489572977017736,
      0.477616935378081,
      0.44948337331253,
      0.442897805660291,
      0.456180891536526,
      0.477784311630728,
      0.485894117863566,
      0.465060580792724,
      0.435449283928687,
      0.432133136234626,
      0.460409795811933,
      0.496866960284408,
      0.48930524557779,
      0.458914545808615,
      0.455682639000632,
      0.474881800604691,
      0.500327941741417,
      0.511796230683349,
      0.491342679690399,
      0.453533133166147,
      0.438085153095573,
      0.462658253484664,
      0.488622496933538,
      0.468898494914029,
      0.445707965360506,
      0.451310052097924,
      0.474605455298719,
      0.498802246440248,
      0.502398599316681,
      0.488739898206378,
      0.474754527978471,
      0.471410854432827,
      0.492592489933053,
      0.508475247651304,
      0.481482815056425,
      0.441491361671384,
      0.430178612312926,
      0.465520642863175,
      0.503135897943524,
      0.482106552882087,
      0.442760630035307,
      0.42804874145939,
      0.446723085305126,
      0.488573745976985,
      0.500608289371178,
      0.470408032969448,
      0.430056458257062,
      0.41729790312767,
      0.450612134451379,
      0.484916541603578,
      0.46342996037592,
      0.417431935908429,
      0.390140115930401,
      0.382901590914525,
      0.357975728028795,
      0.316111476113483,
      0.317506327960176,
      0.36755283711399,
      0.405984141353999,
      0.399361315651601,
      0.383427764901717,
      0.388341066517919,
      0.407395462567922,
      0.426763958639929,
      0.46017395592467,
      0.499429137315791,
      0.533602043643757,
      0.541764542417712,
      0.512957760242547,
      0.487020563149359,
      0.488971162056144,
      0.512560758984097,
      0.537326108184936,
      0.53475088448906,
      0.500404265398931,
      0.467256836318579,
      0.480143719844908,
      0.504616918445992,
      0.471183105462137,
      0.422436896037515,
      0.420192030736723,
      0.46579980623539,
      0.489149827723829,
      0.459733060252033,
      0.42691387384406,
      0.42324142840693,
      0.452225094076923,
      0.492534577605238,
      0.492605316137434,
      0.460345295434725,
      0.431598518684551,
      0.437257163741478,
      0.479518348078386,
      0.493511473957716,
      0.455515347741488,
      0.403757209338167,
      0.367646334134063,
      0.350439965653518,
      0.332911479578802,
      0.312079160484108,
      0.296204757703507,
      0.28550026162871,
      0.289456821978474,
      0.310068045530788,
      0.323235033574545,
      0.327289833013813,
      0.311632456670855,
      0.264207226009859,
      0.191951305917873,
      0.108004962572881,
      0.0505407234977988,
      0.0505857522991542,
      0.133995464908392,
      0.260045488044341,
      0.413390791673315,
      0.492212700604947,
      0.469908965266667,
      0.425257031987173,
      0.396941574143665,
      0.405557583925152,
      0.411435989780999,
      0.390916065688883,
      0.378913521764246,
      0.412179842628484,
      0.46188636662991,
      0.466480728479389,
      0.438615303942052,
      0.423773937414111,
      0.425112735146832,
      0.424055297127158,
      0.416927169495944,
      0.404704000449877,
      0.404625351477816,
      0.422600710820028,
      0.459119605485097,
      0.479908529475665,
      0.460274970234935,
      0.432730558942233,
      0.425951712668231,
      0.431170378271745,
      0.429021964534123,
      0.421815806860215,
      0.401348261104893,
      0.382043780298407,
      0.388511990436979,
      0.43361750892695,
      0.466755572030491,
      0.435475930954209,
      0.399888138083221,
      0.411397974093264,
      0.451147877240381,
      0.474032549897769,
      0.473798648575642,
      0.45683921669753,
      0.432163563640418,
      0.424049464884537,
      0.451213611205795,
      0.4626105898499,
      0.422637271743776,
      0.391094115599499,
      0.408726916371386,
      0.454231848250753,
      0.470133634019551,
      0.460460505539397,
      0.454818967465266,
      0.447399934608103,
      0.43013157170833,
      0.418842557003634,
      0.405424831095362,
      0.393910483593175,
      0.406250633666895,
      0.427787362727394,
      0.428119998462247,
      0.391750596607816,
      0.367421017058022,
      0.379704872949782,
      0.404967647902215,
      0.416423963682814,
      0.404200520096534,
      0.384325827608265,
      0.381112983595542,
      0.398472609315659,
      0.427566498293425,
      0.437436035765541,
      0.401387344844879,
      0.370949020901099,
      0.381715298004142,
      0.42261141263733,
      0.440676580326982,
      0.398524622922843,
      0.359210037258667,
      0.351848218704333,
      0.360336239439318,
      0.382116707016978,
      0.414448502304898,
      0.436590938225271,
      0.425315641954832,
      0.400783184568258,
      0.408760733463484,
      0.437740976896079,
      0.44097087605919,
      0.406495565072039,
      0.38015590897833,
      0.383024217973186,
      0.400277366597927,
      0.425344418405238,
      0.437683056712701,
      0.416440042505689,
      0.392150665724734,
      0.400469050450999,
      0.429017061699012,
      0.445034680786976,
      0.424656273569318,
      0.401464452765037,
      0.409195398972974,
      0.435058187882304,
      0.457545524554367,
      0.457359296543616,
      0.432171197938807,
      0.406228450971519,
      0.409711658567066,
      0.444894292591912,
      0.464935269104745,
      0.432114164392426,
      0.399903103251024,
      0.40725423673466,
      0.437191928435683,
      0.463364502452573,
      0.463417941198678,
      0.445203579990494,
      0.429974140405181,
      0.426755090492851,
      0.440982332650366,
      0.440980590239614,
      0.412570983951349,
      0.401240241231006,
      0.417378664241831,
      0.437578877344073,
      0.426829104793292,
      0.388784877079189,
      0.371804000331273,
      0.384963083904508,
      0.409463799388482,
      0.419204623396555,
      0.401876399735836,
      0.387842154909589,
      0.395447357794919,
      0.417094580342685,
      0.435045862877915,
      0.418690603163905,
      0.378034301952996,
      0.3594825974358,
      0.375909882378917,
      0.397590718729386,
      0.369228082380119,
      0.314676253839154,
      0.306393071137115,
      0.345883840692503,
      0.376840353902019,
      0.378482538653523,
      0.383973857998581,
      0.404880950615828,
      0.414658808267296,
      0.399830707180243,
      0.404742978397803,
      0.436621128076066,
      0.467455988214297,
      0.467053825187206,
      0.438225119781071,
      0.423685004789457,
      0.433170835429008,
      0.451759852486739,
      0.453986974213642,
      0.43051970182964,
      0.399260069725346,
      0.382723743479732,
      0.39633990757259,
      0.412180761057375,
      0.401570587912672,
      0.398922958564556,
      0.418869460008883,
      0.434964313434184,
      0.416293834335393,
      0.38564864518853,
      0.379643452131531,
      0.396356410500908,
      0.414816865706397,
      0.41044911229876,
      0.387610651268059,
      0.379984458741816,
      0.394378733089297,
      0.420050129665519,
      0.435521531634754,
      0.41070912774997,
      0.372430496983729,
      0.359352397580181,
      0.373501766064861,
      0.378391857813182,
      0.347709352128817,
      0.324394119793963,
      0.325526073847643,
      0.319653188906736,
      0.292920757219164,
      0.273030642848294,
      0.275154109064258,
      0.283658342471004,
      0.268454863949806,
      0.224180629971904,
      0.165650794104649,
      0.101532625920509,
      0.0526855975996631,
      0.0245531712404896,
      0.0699399132280707,
      0.144101048501912,
      0.247432504778084,
      0.316689536179799,
      0.315072339737975,
      0.291649943306815,
      0.269860631767791,
      0.258513231209952,
      0.248534198258266,
      0.243541383932547,
      0.257517383467774,
      0.300505516676244,
      0.351727088124134,
      0.371413035405328,
      0.35150341673723,
      0.323193084225691,
      0.307895501271946,
      0.310367526425025,
      0.320270373984281,
      0.316133830621822,
      0.315407703946447,
      0.331103074876892,
      0.360904739436588,
      0.379317000644013,
      0.368291017151007,
      0.341247970464027,
      0.316535721665294,
      0.307006525936489,
      0.312652853891328,
      0.324862493524165,
      0.320704472430674,
      0.306369634099016,
      0.303648454574313,
      0.335730853527218,
      0.378122948414235,
      0.368841742558622,
      0.340509006826275,
      0.346911280374241,
      0.378841807200001,
      0.39968783263076,
      0.401475127778216,
      0.387635268377678,
      0.358014128987183,
      0.342279025448372,
      0.364837009820843,
      0.38215032494716,
      0.353260634213291,
      0.327021676980068,
      0.341701519668767,
      0.378917413405221,
      0.396022588583074,
      0.392255551803849,
      0.379263009401701,
      0.341821957647615,
      0.306314566380334,
      0.302232887935464,
      0.30753131914298,
      0.306763099400044,
      0.315914644789041,
      0.337533616068911,
      0.350035805575822,
      0.334113395527966,
      0.315274579511435,
      0.319702689412599,
      0.336127722076843,
      0.340414610258991,
      0.320250631545203,
      0.297060507466872,
      0.294608351346225,
      0.312571381419072,
      0.342747202465626,
      0.360839901817168,
      0.340522854967782,
      0.315911530777779,
      0.322819368176094,
      0.351644260450556,
      0.356170317742461,
      0.313604057907309,
      0.283856088954666,
      0.27939457879934,
      0.278004528303403,
      0.281890430826149,
      0.301775759216265,
      0.332577693167967,
      0.348186492381767,
      0.343364939851457,
      0.334385563109721,
      0.325555868935112,
      0.312917912523355,
      0.303323444747885,
      0.298341941153198,
      0.29547734373623,
      0.299256889835328,
      0.318437858302549,
      0.343926814497482,
      0.348791292050076,
      0.336746337461995,
      0.325419539549999,
      0.324403330276292,
      0.335253570620754,
      0.339807806006904,
      0.326785808092237,
      0.319467726125622,
      0.331181505853613,
      0.349986311492249,
      0.357445433686902,
      0.342795651894533,
      0.319335884111747,
      0.310024355604753,
      0.331847919419345,
      0.363134416873357,
      0.358913642664422,
      0.331335840132553,
      0.320241283751706,
      0.331684800411516,
      0.351557282521247,
      0.364109171233798,
      0.361348459953002,
      0.342603185436453,
      0.317671963383759,
      0.317955882232519,
      0.331129491572262,
      0.323348406065553,
      0.31599633967752,
      0.330724268557953,
      0.352681457830162,
      0.349877978791045,
      0.321796884826743,
      0.304968324304771,
      0.313062490377317,
      0.331696502121633,
      0.336797528822639,
      0.317198472744082,
      0.301641474862887,
      0.306592625645838,
      0.327869795505978,
      0.353442542595639,
      0.352671755517666,
      0.32341007316977,
      0.302856053512963,
      0.311878163042681,
      0.331042605011413,
      0.317168553776949,
      0.2838326474921,
      0.287935696507758,
      0.340348191947285,
      0.384963058245456,
      0.385451101278886,
      0.373691481308054,
      0.377505930660932,
      0.377570215597011,
      0.350704686965026,
      0.325498921494154,
      0.321667196033656,
      0.338454303468003,
      0.347701561837813,
      0.332205504553538,
      0.316008556441769,
      0.314974458415083,
      0.328114087791828,
      0.339347246130015,
      0.330038132560511,
      0.298958950490334,
      0.271793098920374,
      0.274984763657995,
      0.296146954443921,
      0.306507854032831,
      0.312882237356046,
      0.33089905742955,
      0.349647637501225,
      0.342235758048781,
      0.319319476721117,
      0.312884985033567,
      0.328968816437433,
      0.346637082241758,
      0.336473906097496,
      0.307601355453545,
      0.298110076406008,
      0.313200843457967,
      0.339432498261708,
      0.358877509793458,
      0.344934147405218,
      0.315317397357617,
      0.316260648875743,
      0.351441450199735,
      0.36803194871899,
      0.331093810783993,
      0.308714705986127,
      0.328786003505013,
      0.341454467396174,
      0.324646714220205,
      0.309407860397206,
      0.310954040133103,
      0.295520320145395,
      0.248089100066111,
      0.1908454592201,
      0.138665458444046,
      0.0917318476655836,
      0.0513035503665366,
      0.0127829311708633,
      0.0429873565795053,
      0.0980809927768981,
      0.180044968892448,
      0.248077952167969,
      0.272838469434869,
      0.278254770616969,
      0.265286499090224,
      0.247875869697619,
      0.234667707013369,
      0.229867235098154,
      0.240331349858425,
      0.267183338429965,
      0.294747019884678,
      0.303668291451228,
      0.291803149545169,
      0.2759599884523,
      0.270434326388341,
      0.28092376586122,
      0.29619612013311,
      0.289689089215461,
      0.273674438954554,
      0.269876779707347,
      0.283751789570691,
      0.29855423249866,
      0.295900649627971,
      0.282391704248692,
      0.269078478457683,
      0.266099127074512,
      0.278399203423324,
      0.296178489670639,
      0.292436241972136,
      0.270691074346009,
      0.258805951906382,
      0.275789378199589,
      0.304261974796487,
      0.297326686666546,
      0.281560801184219,
      0.291413356089705,
      0.316795449855417,
      0.333615902415261,
      0.331970847727838,
      0.320985039181828,
      0.301416957969606,
      0.291337329039231,
      0.299053967842875,
      0.303435744739516,
      0.285163630870862,
      0.276574929244046,
      0.294625026035429,
      0.3210461359745,
      0.332165878686284,
      0.329127854656699,
      0.321430709034234,
      0.296366520257695,
      0.282049364326563,
      0.290477879472586,
      0.286843665620053,
      0.266299555823878,
      0.262735256120208,
      0.287722392531568,
      0.312762774913232,
      0.305604045071154,
      0.286066252955789,
      0.285608468172763,
      0.301998001857736,
      0.316209786958665,
      0.304841819743489,
      0.273998238431917,
      0.257553156993418,
      0.270128220625512,
      0.306105814404755,
      0.329975227253663,
      0.308562630703647,
      0.279800631017628,
      0.280531696016835,
      0.306551720684036,
      0.318803561996964,
      0.290527850162475,
      0.269093540360273,
      0.263643613569444,
      0.255306484845601,
      0.247881871049972,
      0.254669124909366,
      0.276818301562785,
      0.293202218884122,
      0.295557393446419,
      0.290132805813784,
      0.282751655277225,
      0.277579359883634,
      0.278026939238983,
      0.274296002665536,
      0.264109547525256,
      0.257454400703441,
      0.2655609976562,
      0.285283240304944,
      0.293041542076589,
      0.287351607199474,
      0.27988823406373,
      0.281395159520575,
      0.293096882752266,
      0.294482120999098,
      0.277967157045967,
      0.266162911735501,
      0.277567195420951,
      0.304817538544869,
      0.32191681706087,
      0.30764745796076,
      0.278347357968577,
      0.26496980192286,
      0.28451362446029,
      0.315799945858598,
      0.312275376531114,
      0.282396793857846,
      0.266592650469454,
      0.278359071281703,
      0.305786011520819,
      0.325139529459448,
      0.321700464619797,
      0.296813927058757,
      0.270174662536041,
      0.274038480545395,
      0.291910344288545,
      0.281162830886009,
      0.264097614343204,
      0.276846074796956,
      0.308320925115978,
      0.314821147901224,
      0.283961724359729,
      0.26216113386683,
      0.272721393085004,
      0.301221187178725,
      0.31501367319648,
      0.292444469393019,
      0.264251476084026,
      0.260204746584794,
      0.283581094366065,
      0.316879631069681,
      0.319193337075605,
      0.28788378718465,
      0.265403506737188,
      0.277761338654317,
      0.31185534713341,
      0.313000331741737,
      0.28213202201593,
      0.28549143559431,
      0.345177685801622,
      0.392917707185369,
      0.380732395805893,
      0.355006202699529,
      0.35165561921674,
      0.35494302828523,
      0.339792181150344,
      0.323026893071897,
      0.315065621305117,
      0.322420728277359,
      0.326832786648092,
      0.313492614330278,
      0.299609017844653,
      0.295337958457079,
      0.305281734067918,
      0.321019428221105,
      0.316885618513256,
      0.282888030887283,
      0.252524288929922,
      0.255553898834001,
      0.270048486958016,
      0.265668813538976,
      0.263381710774303,
      0.28587985669708,
      0.313437839760784,
      0.303590228385543,
      0.270780702936183,
      0.259720392312217,
      0.280221622881413,
      0.311276116636832,
      0.315295841709403,
      0.284653272482452,
      0.260675832092144,
      0.26672642547041,
      0.299348498207692,
      0.329437646279284,
      0.316522287506635,
      0.283918102385583,
      0.284337063278716,
      0.322615258208837,
      0.347757371857528,
      0.312178263232302,
      0.266160948245615,
      0.255448170071651,
      0.27195502448552,
      0.299546324344187,
      0.325747908939429,
      0.335163613888044,
      0.315666292386314,
      0.268888315731786,
      0.208240475655841,
      0.146983190712439,
      0.0905970260596439,
      0.0484762696147041,
      0.0117896659869289,
      0.0413637224798431,
      0.094853330735872,
      0.172433490991892,
      0.238015386427908,
      0.268491770497438,
      0.280199489429962,
      0.275016526101793,
      0.278433968063614,
      0.286423665170708,
      0.28386066329608,
      0.277426037878494,
      0.277290711099279,
      0.273168668935953,
      0.257871732200089,
      0.246890795167981,
      0.249950660857274,
      0.263957795050422,
      0.277224423996685,
      0.284386611241163,
      0.277514982101777,
      0.263638014509666,
      0.256152282189622,
      0.261467156016417,
      0.266075992239964,
      0.252981852716668,
      0.241410131827542,
      0.246318422866111,
      0.26199374679606,
      0.275521008176709,
      0.282151112191419,
      0.27471781690398,
      0.259241003226526,
      0.254107907575625,
      0.269472455101769,
      0.288620233315203,
      0.281016943856366,
      0.268179871622507,
      0.265771321729509,
      0.268335394917193,
      0.273636734019149,
      0.281444383790652,
      0.287935262560773,
      0.285882419077731,
      0.285358320411759,
      0.288812715394458,
      0.284987827725668,
      0.26893946095384,
      0.260523757085349,
      0.262383120607268,
      0.265322214680761,
      0.266027584831256,
      0.273595492969805,
      0.290006622167409,
      0.292360313264665,
      0.286607808027306,
      0.283991981004739,
      0.271346300144413,
      0.256007613940928,
      0.264831475352667,
      0.297174851311234,
      0.315263638973086,
      0.292818729657404,
      0.268279472506597,
      0.272597676924043,
      0.294650769973028,
      0.309247824595145,
      0.294515589096061,
      0.262144181949859,
      0.248905705577225,
      0.266431807820299,
      0.304188288045529,
      0.323306945786636,
      0.295362055129823,
      0.266625539251821,
      0.273501152331589,
      0.311371494726351,
      0.334902094697013,
      0.30199866291856,
      0.260915268533002,
      0.239520762836738,
      0.228281719687459,
      0.224974413074071,
      0.231538878221343,
      0.247673515123249,
      0.260876722920714,
      0.264896496583339,
      0.269828871439976,
      0.277336142009253,
      0.277362935594649,
      0.264148910875315,
      0.249303922214725,
      0.241832474799954,
      0.239417143997746,
      0.24341777628589,
      0.256348306732787,
      0.265545086696679,
      0.264525603088823,
      0.264005455122952,
      0.271206477674755,
      0.282070044743237,
      0.278351372745559,
      0.266189841995389,
      0.263638184424229,
      0.277629178782334,
      0.298323618888065,
      0.303858980792518,
      0.288114083786971,
      0.269267959894594,
      0.266750245826109,
      0.2833789898891,
      0.300400452261215,
      0.29090778516106,
      0.269817924146577,
      0.264036118115818,
      0.278733963111001,
      0.298967507637096,
      0.301104112125788,
      0.286961090424354,
      0.271096487112594,
      0.26010267810765,
      0.264689089076934,
      0.272296900477169,
      0.260944921217283,
      0.255030632619358,
      0.27708813374893,
      0.306530244495409,
      0.297441455797701,
      0.258797760940947,
      0.245293839621511,
      0.265430079099068,
      0.295377422575755,
      0.304171712765415,
      0.279156938981142,
      0.251845384380638,
      0.251861267912456,
      0.27975402647232,
      0.312160368971303,
      0.306190933271833,
      0.269929237329856,
      0.250109420572808,
      0.26723442721527,
      0.309533696931363,
      0.316485848945405,
      0.282523051099225,
      0.280578014788888,
      0.339944261080775,
      0.388851650576089,
      0.369894356563715,
      0.34131147938145,
      0.343477617534829,
      0.357819721807339,
      0.355050728863025,
      0.344893706025442,
      0.333221659167032,
      0.330212430819762,
      0.325563422865682,
      0.307906141864594,
      0.293370092794009,
      0.287777438529043,
      0.29549098192827,
      0.310793932209856,
      0.309075544506374,
      0.277004696263188,
      0.247170872189278,
      0.248495791262364,
      0.258699057542412,
      0.254386967477322,
      0.25903275912074,
      0.286530171311731,
      0.308755407167348,
      0.286855437534306,
      0.251512736826995,
      0.247555297673276,
      0.273361110246517,
      0.302020930235093,
      0.300786229963845,
      0.270253765631519,
      0.25069575884518,
      0.262061162519727,
      0.296664543890748,
      0.321065618400324,
      0.300097424376665,
      0.266682725889012,
      0.268592773300692,
      0.314122896396324,
      0.354151936655739,
      0.330629193521896,
      0.281103528792823,
      0.258219482133921,
      0.271742475106151,
      0.294510066321582,
      0.30049643702649,
      0.290733182965868,
      0.28763651505548,
      0.27283456216444,
      0.22489338307013,
      0.156954981317786,
      0.0880764469211597,
      0.0451285582120661,
      0.011186038129163,
      0.0412103286360219,
      0.0973927876086363,
      0.180050598837797,
      0.247899981902439,
      0.273293310358618,
      0.279608772524148,
      0.27746068418666,
      0.296865644899073,
      0.322118379288595,
      0.323648481786074,
      0.308836306108654,
      0.296963195715713,
      0.279927671467321,
      0.250337933397468,
      0.235450925902454,
      0.249858708116435,
      0.279301876149935,
      0.295175605201862,
      0.296207635155681,
      0.290439013406294,
      0.278581202944108,
      0.266051891109712,
      0.264201945103348,
      0.263999657185351,
      0.246155092386503,
      0.235390722971321,
      0.252775915032175,
      0.282036410213714,
      0.295922970191231,
      0.293871651555989,
      0.282790569363407,
      0.269511377947707,
      0.264405095165336,
      0.278944821769399,
      0.302855046694436,
      0.308530370625159,
      0.303701999026247,
      0.295976844607111,
      0.283845530827672,
      0.278494254244851,
      0.289641611058925,
      0.301914124509622,
      0.302212596702523,
      0.299119931916853,
      0.30316844707027,
      0.305854816326296,
      0.30048142638904,
      0.295971605014623,
      0.290941051689407,
      0.280103960703779,
      0.268182098345563,
      0.274081624129086,
      0.29546482255163,
      0.30376740209212,
      0.295394025500014,
      0.284263424098781,
      0.266830609323024,
      0.257437647596447,
      0.274915956534358,
      0.309518897671689,
      0.329311039936912,
      0.309054107800545,
      0.280012321686856,
      0.276874374481857,
      0.297884101182464,
      0.315522258706312,
      0.297831179459134,
      0.262071100342996,
      0.251234057477586,
      0.273304239331403,
      0.31353187165814,
      0.335903007450169,
      0.311745867682987,
      0.281428041216141,
      0.284142842361397,
      0.322607324569482,
      0.351314760409158,
      0.316305702291535,
      0.269207763732033,
      0.249484038915034,
      0.245345669944486,
      0.243971015131291,
      0.245822531512932,
      0.257769440464253,
      0.26592729997412,
      0.262817120095012,
      0.267527874044361,
      0.282193892663066,
      0.285271057299578,
      0.270185649676595,
      0.260630437040542,
      0.261151728531477,
      0.258406441057572,
      0.256800126285716,
      0.265588552021799,
      0.27152437521198,
      0.267141769999299,
      0.266997274385579,
      0.277206914823566,
      0.287747265181524,
      0.285660133908126,
      0.279620934656274,
      0.280840387833229,
      0.288465218627724,
      0.294538818790619,
      0.287880777143254,
      0.271220537904811,
      0.262870388595803,
      0.27070983620717,
      0.288846819534397,
      0.29929538091395,
      0.291476564684961,
      0.281814453289547,
      0.282403510479188,
      0.289482206200684,
      0.291566581716005,
      0.279197825326048,
      0.268550852443094,
      0.271113406065664,
      0.275663663460951,
      0.280819280093228,
      0.278357540279004,
      0.264417826659647,
      0.262810779751823,
      0.287094399099468,
      0.31761501520536,
      0.31276247467521,
      0.275745412450695,
      0.257782172786372,
      0.272098022496751,
      0.300107490721894,
      0.308865107391651,
      0.28226027985429,
      0.255123302872807,
      0.256268561390452,
      0.284735478687947,
      0.319586466962568,
      0.321906981545488,
      0.289401706851051,
      0.262983281764137,
      0.265861514027404,
      0.293551940278094,
      0.299649013217811,
      0.27362445532823,
      0.276467492462621,
      0.338322306731898,
      0.394163930717057,
      0.379163234383409,
      0.352811830469895,
      0.361443089096657,
      0.377041207466524,
      0.366639792935292,
      0.347669343826912,
      0.330037253471334,
      0.322109342993723,
      0.316883155414131,
      0.302154366928125,
      0.288041717966156,
      0.282426522085555,
      0.290375325156545,
      0.301192960207548,
      0.293614683380327,
      0.263973896092732,
      0.243173671058176,
      0.248974490957512,
      0.258104845347735,
      0.256829594845499,
      0.266630365221123,
      0.295683806588695,
      0.319709038155594,
      0.304535482716165,
      0.271405969096945,
      0.261702813189458,
      0.280069704688746,
      0.304742660733819,
      0.302292750476412,
      0.272680479027605,
      0.255687470788597,
      0.268483174340041,
      0.303523232703437,
      0.331112784281586,
      0.316081589517924,
      0.282358950035736,
      0.273358191724486,
      0.300631995641733,
      0.325104897898691,
      0.309117978002013,
      0.292439810741806,
      0.298726624667938,
      0.309682754648039,
      0.302642875902521,
      0.278465175274996,
      0.255208982269914,
      0.246357547614424,
      0.233423582994451,
      0.195838099117022,
      0.139784776352276,
      0.0815575701980347,
      0.0412630888219352,
      0.00986605686074043,
      0.039131361784099,
      0.098221075137705,
      0.188798425594049,
      0.259666759873708,
      0.274035411368786,
      0.270909386369096,
      0.262148815258356,
      0.268688704044557,
      0.285741125365797,
      0.295700005543062,
      0.302512021899884,
      0.317704316084121,
      0.323940819680615,
      0.303565976698052,
      0.283679851039002,
      0.292579681037529,
      0.318040180615987,
      0.33268029028825,
      0.339461413661477,
      0.335483473924916,
      0.317509899610069,
      0.296422881884742,
      0.299441709247764,
      0.312259973897355,
      0.30058953904727,
      0.285570761985901,
      0.29788938386228,
      0.32398504856676,
      0.337745119623835,
      0.343674113511377,
      0.339704827146105,
      0.324043661055384,
      0.306657207763346,
      0.316158281558573,
      0.346331837539108,
      0.353833189070781,
      0.342808673779051,
      0.336203321470056,
      0.334199875660992,
      0.332413285304173,
      0.340765692885707,
      0.353403639017697,
      0.35427572863298,
      0.345459221419936,
      0.348970116101224,
      0.358312919885549,
      0.351878865845217,
      0.339439771948977,
      0.334313131429417,
      0.332065365278385,
      0.31985470322602,
      0.31122238621759,
      0.315845474665632,
      0.322381853521747,
      0.327527276594575,
      0.329596390845001,
      0.308208772469648,
      0.280513775150946,
      0.283359289481666,
      0.317310960666353,
      0.348231137292782,
      0.334411586976476,
      0.299222951873407,
      0.289625818123488,
      0.313765301835399,
      0.342131242076674,
      0.332233962324209,
      0.292980157670989,
      0.269760396264441,
      0.280572954326865,
      0.321658874628957,
      0.360084476288563,
      0.345244005831548,
      0.304505223361305,
      0.291281236721381,
      0.321092645402076,
      0.359562060476037,
      0.344528068145748,
      0.307681572629762,
      0.290620034035608,
      0.285992845895953,
      0.281476520873331,
      0.281351478281908,
      0.295507333358709,
      0.3050692691415,
      0.294343760495264,
      0.281940122999122,
      0.285436469600959,
      0.297360829016713,
      0.303603512970337,
      0.307074417622925,
      0.307783805211419,
      0.300490464146535,
      0.294775780325656,
      0.302391963463254,
      0.308704192436833,
      0.304492530238645,
      0.300721542846884,
      0.304498316685816,
      0.313767261965368,
      0.319925374198673,
      0.311710161975421,
      0.299988526390791,
      0.298530308293299,
      0.309888854852746,
      0.318759885118724,
      0.310947796236643,
      0.302274525211005,
      0.30346553215844,
      0.317798138692499,
      0.330332061261679,
      0.326818441006813,
      0.311348129490844,
      0.298746534794956,
      0.297510642480316,
      0.305455562820955,
      0.306898640734222,
      0.301974940576228,
      0.304554586629886,
      0.312942115276039,
      0.326578774517063,
      0.324605855180676,
      0.2987606779944,
      0.281200741429094,
      0.295449881912593,
      0.328723708979615,
      0.333895205617863,
      0.297302916798386,
      0.269919560500183,
      0.278707613043234,
      0.313312509267051,
      0.339734339680211,
      0.323321073566713,
      0.287537149870441,
      0.272180486036399,
      0.292763302591403,
      0.336771617200429,
      0.35359050875826,
      0.318568660346678,
      0.279266574465839,
      0.270047405620652,
      0.28493197312748,
      0.290085264941603,
      0.275610510799391,
      0.28571651546493,
      0.338828752000849,
      0.384274686331856,
      0.377618527009003,
      0.355504245779705,
      0.35814440379068,
      0.368436196041688,
      0.363432918794621,
      0.35105731480958,
      0.336164849333137,
      0.331830738865469,
      0.331725512920542,
      0.318279035428536,
      0.30113187011708,
      0.295836150485817,
      0.306318392824575,
      0.317003546333408,
      0.307456843250562,
      0.283843234299034,
      0.277442799740639,
      0.29724822219745,
      0.30839481595892,
      0.288343798460715,
      0.276449603159936,
      0.301224332041786,
      0.33826647251272,
      0.335294713670609,
      0.297385323506831,
      0.277030780127397,
      0.291798049820062,
      0.322421618523072,
      0.328605133647585,
      0.299269507720775,
      0.273894197394108,
      0.275599434544782,
      0.307127508807259,
      0.347704801747883,
      0.347792582588359,
      0.308821782925263,
      0.285745126316857,
      0.295495598678996,
      0.304728034484515,
      0.291389783230259,
      0.291370197789929,
      0.315098847341215,
      0.329033832334697,
      0.322538797992272,
      0.307333038766747,
      0.288246865611597,
      0.260833732319631,
      0.223553806109898,
      0.179433210194934,
      0.130445949296008,
      0.0813130480866987,
      0.0418886420410329,
      0.0103882237369939,
      0.0402505732633124,
      0.100668170543222,
      0.194243080081346,
      0.265491449259663,
      0.274561499790072,
      0.265964896860598,
      0.250696403419846,
      0.239795153710811,
      0.242650782817294,
      0.26579346004012,
      0.305789720987355,
      0.362571534380298,
      0.409310238517659,
      0.410832649095841,
      0.389720483798867,
      0.392514854041711,
      0.415555175395758,
      0.428919858989439,
      0.43392010300439,
      0.421543392322206,
      0.393123783132106,
      0.366762180493964,
      0.383725085633073,
      0.421792093837261,
      0.422173835847154,
      0.399703996693049,
      0.400313708710816,
      0.418354138797504,
      0.425728216130651,
      0.432779871711715,
      0.426411840863972,
      0.399133421215902,
      0.372146524156647,
      0.382368716663422,
      0.408492946203455,
      0.392368847448421,
      0.363617079426509,
      0.363926164989916,
      0.386189211932344,
      0.408049875856512,
      0.432059462055338,
      0.446158550878115,
      0.431636237413751,
      0.408459573065456,
      0.409519595030908,
      0.410384391673709,
      0.379486374107506,
      0.353137400572177,
      0.359594478549746,
      0.384700368926248,
      0.393060239401616,
      0.392778422238133,
      0.401732407067361,
      0.399936419154471,
      0.386891384447087,
      0.387076959057455,
      0.377728262665565,
      0.349704077161462,
      0.336671815733506,
      0.354025308491616,
      0.385991113276147,
      0.384782720887224,
      0.35767395260398,
      0.347358534590114,
      0.365625288199501,
      0.395087921227982,
      0.39690427706146,
      0.366799482853112,
      0.33852703494217,
      0.3360679517546,
      0.366745103755662,
      0.407216108901137,
      0.400720630786381,
      0.362466136113481,
      0.344294531191524,
      0.372763168120009,
      0.421555905747604,
      0.422316716096739,
      0.392459204947251,
      0.371068355709607,
      0.359753462262804,
      0.35598927915792,
      0.360723693802188,
      0.370223760192064,
      0.370108643432978,
      0.354769633262891,
      0.347451620234094,
      0.362090816963202,
      0.387791049725109,
      0.3958501230091,
      0.38699298441586,
      0.376896094252432,
      0.370091058065084,
      0.370056818289848,
      0.376727224404914,
      0.379224450805209,
      0.374777904304149,
      0.374905567746311,
      0.386241478124449,
      0.407325203287004,
      0.40927041518118,
      0.384292680673253,
      0.367516966082143,
      0.372837482021647,
      0.399107555982832,
      0.429178858832553,
      0.430934506917522,
      0.404263785532634,
      0.38099433703443,
      0.389707085416385,
      0.411635227801946,
      0.405180996910256,
      0.380000437623528,
      0.368232376565749,
      0.374495699925033,
      0.392007936721892,
      0.406772952377743,
      0.41157354755738,
      0.403669866697546,
      0.389995559021503,
      0.395971339298091,
      0.399491293534269,
      0.372669494135601,
      0.34490793880778,
      0.347494050214941,
      0.378776335948054,
      0.393141131513348,
      0.3629905704964,
      0.333708227604866,
      0.337276723461188,
      0.36927374406167,
      0.401972270371721,
      0.396297911522082,
      0.363783582271351,
      0.338538794020525,
      0.342821324604543,
      0.378554848807223,
      0.402936115314711,
      0.377302587741877,
      0.33788320646309,
      0.322443492735174,
      0.323545638746724,
      0.311265511739024,
      0.289120049571409,
      0.298008282025376,
      0.34005399789666,
      0.367696566578083,
      0.359318738129868,
      0.337885717050031,
      0.336961971929779,
      0.354635782086701,
      0.377596742101748,
      0.398488277840622,
      0.40980861526753,
      0.425714757998294,
      0.436327758150253,
      0.419755545714412,
      0.396186505524434,
      0.389272582261743,
      0.401315086985785,
      0.419448139794257,
      0.416543485989613,
      0.384257373039488,
      0.357457727050817,
      0.370191720428328,
      0.388855974578595,
      0.364477101541391,
      0.334567874227022,
      0.342620431465406,
      0.378519983758631,
      0.387985339047486,
      0.360658289575809,
      0.341604094537915,
      0.353420095327809,
      0.38385440144596,
      0.397164961228678,
      0.373182354557727,
      0.342880600671867,
      0.333894920631625,
      0.356757424114657,
      0.397892735551043,
      0.403545035019762,
      0.36779271864752,
      0.340966504212212,
      0.341611574117698,
      0.337422978939489,
      0.303724733266999,
      0.276452957923589,
      0.269438936111776,
      0.267532171104671,
      0.278909347115493,
      0.306112875483711,
      0.317918071583448,
      0.298808410455595,
      0.255764712382448,
      0.200899498433127,
      0.140813891555946,
      0.082425381004841,
      0.0430129874021053,
      0.01007121245753,
      0.041284988329039,
      0.104788451588839,
      0.203909090652591,
      0.279048172917378,
      0.286542812247732,
      0.27435600123658,
      0.256906682302661,
      0.245674475857348,
      0.243302744833309,
      0.257576715405828,
      0.294139942540213,
      0.356980375666984,
      0.416765471872512,
      0.426823572760216,
      0.408505537812879,
      0.409737315468166,
      0.430311250829484,
      0.436696513022584,
      0.423006448811336,
      0.397082671132802,
      0.380301861709639,
      0.383216842825425,
      0.41348132104123,
      0.438474015101767,
      0.4240628274143,
      0.404029049402891,
      0.413147940006818,
      0.436997717154411,
      0.441147806241072,
      0.432199233722975,
      0.410232645970043,
      0.382675757764047,
      0.371339664597657,
      0.392479118423997,
      0.411336470084532,
      0.384789502099783,
      0.358827235294269,
      0.369568791417378,
      0.40137100873992,
      0.427820898775025,
      0.445447636472872,
      0.443278667791541,
      0.421037865566519,
      0.406759304124686,
      0.418053684560853,
      0.41381054403954,
      0.373116680464488,
      0.347692592675161,
      0.363141609152073,
      0.3984894295179,
      0.414241039068874,
      0.419112180800486,
      0.431048077118215,
      0.417486775752174,
      0.377681883317741,
      0.361340806939334,
      0.363436486165852,
      0.363976533312819,
      0.375820793567283,
      0.405589011546568,
      0.429967865220662,
      0.412078514054681,
      0.381896523966009,
      0.376151920645907,
      0.390020704640625,
      0.404097021043233,
      0.399813054827648,
      0.379674259160711,
      0.369147506008088,
      0.383513409311563,
      0.419823778774213,
      0.442608753981337,
      0.413427824916481,
      0.375629441184812,
      0.372179943889602,
      0.407741365240011,
      0.43685188858367,
      0.4095617883666,
      0.372110610895129,
      0.357831581521766,
      0.359110448665276,
      0.375040563859029,
      0.399522963227617,
      0.407541110762412,
      0.379705796803238,
      0.348164036037115,
      0.362433289491642,
      0.408531853724362,
      0.433406218153998,
      0.408915437704607,
      0.377888811403535,
      0.37033038028704,
      0.383248827340434,
      0.406140509043995,
      0.414598459077209,
      0.38935091534721,
      0.361285965733417,
      0.372078111844361,
      0.412258024894619,
      0.442089433098706,
      0.41894702955073,
      0.386061560006648,
      0.398523770346754,
      0.434543581752191,
      0.460400367408984,
      0.461780197972642,
      0.439143209790968,
      0.406444201035451,
      0.397435948896685,
      0.425722150762689,
      0.445625997828452,
      0.413438889298609,
      0.382542374538278,
      0.394698614924422,
      0.426302097368971,
      0.446983249123391,
      0.447545398014883,
      0.440498031003213,
      0.421414675820508,
      0.394499868740971,
      0.392317721332994,
      0.398726119841778,
      0.383454036353954,
      0.37190993962605,
      0.388884252186956,
      0.420702958514257,
      0.420955900592691,
      0.384037873167522,
      0.363599309842494,
      0.376450868051664,
      0.403318942903365,
      0.41613133438222,
      0.399256914516791,
      0.379464043164639,
      0.378678307221706,
      0.400407196019434,
      0.430658784556063,
      0.429193785530551,
      0.389633623616429,
      0.354438793902631,
      0.341960257231429,
      0.33704354166414,
      0.312894719923148,
      0.284406291641468,
      0.290071914197107,
      0.32798903851169,
      0.350574626702985,
      0.340716539188866,
      0.329208871559558,
      0.340564672947066,
      0.36253509988551,
      0.379871916542252,
      0.405222824705315,
      0.430919820615161,
      0.449035231209651,
      0.447497602407268,
      0.42763247431387,
      0.418983475924164,
      0.428666399898574,
      0.444686830635396,
      0.451677506565401,
      0.43777540146793,
      0.400557925590291,
      0.365628192985467,
      0.369414134558935,
      0.388544886263586,
      0.380839272559203,
      0.37591911229872,
      0.401838183309935,
      0.433081555124738,
      0.420608135823975,
      0.382519156549762,
      0.366593019701112,
      0.382506972775312,
      0.409520620138782,
      0.413016137182564,
      0.38754734118622,
      0.37045507023348,
      0.379477497147664,
      0.408240182404848,
      0.432408627549926,
      0.41603380131924,
      0.379118144828899,
      0.357451597453801,
      0.356657621319576,
      0.344217067596768,
      0.302522620211962,
      0.269016789714707,
      0.256432276446666,
      0.255789968422295,
      0.26570212125471,
      0.285135702757844,
      0.294697898042055,
      0.289699429309376,
      0.260772391408201,
      0.206783307234703,
      0.140964576287702,
      0.0775122574915093,
      0.0407887226107871,
      0.0102134649477273,
      0.0430633488193674,
      0.10914924543147,
      0.210533455007024,
      0.29087543747729,
      0.309813120833816,
      0.306116176199684,
      0.291159194909376,
      0.28513165034639,
      0.278251562879101,
      0.260379090981685,
      0.253904629137073,
      0.281652982320742,
      0.321699849165847,
      0.332956688533985,
      0.317858909285697,
      0.30716903790561,
      0.313134368456993,
      0.322295383441947,
      0.321012351920647,
      0.302510175883034,
      0.294921033604378,
      0.310600712428481,
      0.339286727378996,
      0.349022292455872,
      0.330018258559246,
      0.310247920425733,
      0.305735773027105,
      0.316757359442128,
      0.326826085186589,
      0.323451216366867,
      0.298458273969922,
      0.27872050633937,
      0.284800104269945,
      0.320919530925745,
      0.352208652872422,
      0.338286821115327,
      0.319160275861501,
      0.330367821517403,
      0.358074359380128,
      0.374708406871944,
      0.37910904167653,
      0.369526964284228,
      0.348120383744548,
      0.338749748951552,
      0.354330871376185,
      0.357370985316792,
      0.328743297445575,
      0.313161557158916,
      0.331453566273261,
      0.361731153629052,
      0.370949917015683,
      0.369199404413302,
      0.368683927472234,
      0.34730936934818,
      0.314684553040213,
      0.303288519450408,
      0.304187085124544,
      0.304955729084852,
      0.315544632188087,
      0.33654625805372,
      0.350281511739741,
      0.340774749587686,
      0.328088405954096,
      0.330000683090703,
      0.336718205128614,
      0.335614540544796,
      0.322819645287485,
      0.305152600497306,
      0.300875523997106,
      0.31533196870951,
      0.344035088522948,
      0.358474769231149,
      0.335134325661352,
      0.31043029498768,
      0.314853020173005,
      0.342313704051402,
      0.350494986643453,
      0.311520052132932,
      0.271712761859404,
      0.254029291358604,
      0.24877381129537,
      0.261845902658735,
      0.296954172013433,
      0.333470013741323,
      0.331572880867539,
      0.309004363056232,
      0.313312851814808,
      0.339512760563679,
      0.342437313558035,
      0.307447418562374,
      0.274829668287806,
      0.264921794948949,
      0.278856688771237,
      0.31350075059446,
      0.345607218192703,
      0.336914265379518,
      0.307794735560829,
      0.30399871422274,
      0.328893853069026,
      0.351583302344612,
      0.338307123303987,
      0.315109496770522,
      0.322335515682891,
      0.353298401110684,
      0.376007019313647,
      0.368878226625754,
      0.33889211448117,
      0.312425869591056,
      0.314337811251737,
      0.348579006782314,
      0.37416014461952,
      0.348928777633791,
      0.317151618849607,
      0.322462600659315,
      0.350868214548798,
      0.36965804339998,
      0.364852712511677,
      0.348793605338464,
      0.327097191647674,
      0.306034030124733,
      0.310212901283264,
      0.325588834382273,
      0.321334833580565,
      0.315371282861157,
      0.329063319506324,
      0.349412212672877,
      0.344697351596426,
      0.317485249109142,
      0.304689680549439,
      0.314703131391377,
      0.331243004163382,
      0.335281136988749,
      0.319923761352227,
      0.307548555112447,
      0.310789757261333,
      0.3271171090145,
      0.344595210483471,
      0.339340378235003,
      0.315818065983006,
      0.297042134201068,
      0.291734099092816,
      0.292543948078074,
      0.281799636426446,
      0.267152358497454,
      0.277912018130814,
      0.324000127013291,
      0.357976886484932,
      0.351791449253446,
      0.340877866931236,
      0.351203202043031,
      0.361868162755657,
      0.348426881295526,
      0.335260520996875,
      0.332992369355455,
      0.337973581597,
      0.331143811263388,
      0.309674875458447,
      0.299495975960409,
      0.308328135268362,
      0.324130795611293,
      0.328796063124931,
      0.317157968620146,
      0.295892893282144,
      0.280365234830139,
      0.287134947720061,
      0.302944702344205,
      0.307233370979859,
      0.313961851443537,
      0.334147094571436,
      0.350031885070597,
      0.336886143375604,
      0.312515282699253,
      0.307698728527554,
      0.322934112375055,
      0.338863554294323,
      0.332812145820004,
      0.310304593765601,
      0.30119865239101,
      0.312826395928498,
      0.337682715124814,
      0.355647054495887,
      0.342241675375208,
      0.316597302610844,
      0.308523343581735,
      0.321752153291458,
      0.322654047529678,
      0.290797586434613,
      0.268543472855844,
      0.271511065874149,
      0.276992436129566,
      0.273651804941199,
      0.267664722418699,
      0.261228867164459,
      0.249827354297478,
      0.22224572259764,
      0.17618303000073,
      0.120443882543052,
      0.0687515814777531,
      0.0355235065821803,
      0.011813589490437,
      0.0456972822839416,
      0.108840545784442,
      0.200160731787286,
      0.270398507037061,
      0.294498730470078,
      0.303640562453757,
      0.303654093576168,
      0.311956039851714,
      0.305705759713317,
      0.267986062381549,
      0.234729704541664,
      0.243032663356021,
      0.273102397913723,
      0.283018252691196,
      0.26674763282637,
      0.247572712388026,
      0.24373691886973,
      0.255244602190722,
      0.267078172979217,
      0.257657525020376,
      0.245611125495225,
      0.250932558153171,
      0.27470567460505,
      0.291956579201777,
      0.283451818932997,
      0.262644794597909,
      0.246091949470923,
      0.244077230549606,
      0.255995579696473,
      0.2694388355443,
      0.260355781001982,
      0.242316722347646,
      0.24518587429596,
      0.280335159028274,
      0.308485818669481,
      0.285367387230714,
      0.262246376036561,
      0.281273288993195,
      0.319278374192241,
      0.339238577155308,
      0.33793060608677,
      0.323991430954725,
      0.297663969851244,
      0.283800087149061,
      0.296061142257104,
      0.299038568632599,
      0.270677926314114,
      0.257027095360443,
      0.283574389729879,
      0.327107715846984,
      0.347673126746795,
      0.341557515867174,
      0.323936913678263,
      0.297758149880588,
      0.285583234952361,
      0.289460837666783,
      0.280406942772791,
      0.256523500779927,
      0.244879310628237,
      0.256246299073832,
      0.276910698976087,
      0.281341944296368,
      0.272620379267213,
      0.269721130010732,
      0.272101275251724,
      0.273498696885454,
      0.267499178198512,
      0.254054958058526,
      0.245417615324058,
      0.250472355065214,
      0.272939598581611,
      0.293270573948295,
      0.282880708120643,
      0.26128811897776,
      0.262218398164968,
      0.286470184036788,
      0.296565430441393,
      0.265004901622339,
      0.229792497055307,
      0.20974035287264,
      0.1989485940521,
      0.204664463328846,
      0.231169937782245,
      0.265625934584971,
      0.278754040575787,
      0.270664364072968,
      0.264442070125035,
      0.267322194460543,
      0.264824522964701,
      0.248284623018438,
      0.227431227507873,
      0.214832039962137,
      0.219356952215318,
      0.244415323395262,
      0.277024724884421,
      0.285589087397617,
      0.273916613341099,
      0.264754907831699,
      0.269797986577868,
      0.282796221191879,
      0.28261804487641,
      0.268174411102664,
      0.25980888768358,
      0.271754889019593,
      0.293537448343717,
      0.301679405871985,
      0.281027044880097,
      0.252052611167453,
      0.24363527060977,
      0.266830913811807,
      0.296585265772442,
      0.291658954596522,
      0.266653580691761,
      0.256261189310191,
      0.269213531518047,
      0.289829413362435,
      0.298192492408156,
      0.286186580799217,
      0.263306343588091,
      0.245556520652787,
      0.253091785637548,
      0.269910197551408,
      0.264755194377265,
      0.251723090205819,
      0.25355990794699,
      0.271048804735239,
      0.278918115878035,
      0.263250710692603,
      0.24835174239245,
      0.249545547754723,
      0.261305976106583,
      0.269732053159642,
      0.263500065406241,
      0.251687801386794,
      0.24705717536374,
      0.256150287638724,
      0.276743361140361,
      0.284427454190397,
      0.266938846609214,
      0.246321843056665,
      0.241755461804449,
      0.249361759143657,
      0.24758553155881,
      0.24154827542319,
      0.260243136249516,
      0.313172554245389,
      0.350983824645141,
      0.345393123419654,
      0.335546618432271,
      0.343268205971498,
      0.347080972884996,
      0.326440851478605,
      0.301819922901475,
      0.285548440835184,
      0.28470847718041,
      0.281614536766624,
      0.263387114413625,
      0.249425784336386,
      0.253871713329579,
      0.271790666604942,
      0.287546656884723,
      0.284997071816573,
      0.263019826913213,
      0.245407803317971,
      0.249932674489915,
      0.261030101131327,
      0.255983428932877,
      0.2483837320408,
      0.257038475396518,
      0.275523713642388,
      0.275008188569347,
      0.255602386605151,
      0.245961184681246,
      0.253996990895594,
      0.268663662415445,
      0.272355665933642,
      0.26124923586402,
      0.251146110913647,
      0.252427471872667,
      0.268668355269638,
      0.288289108977078,
      0.284763231913119,
      0.263557300197714,
      0.261982237553064,
      0.291697176299955,
      0.310980621293237,
      0.287748197152996,
      0.266559855786063,
      0.270678557872121,
      0.273948699123709,
      0.269768076318035,
      0.269255052852487,
      0.26699151919441,
      0.250829017205094,
      0.215987606469201,
      0.169234578406812,
      0.115680887113825,
      0.0653806353157553,
      0.030968796764254,
      0.0120398498039445,
      0.0445418780549953,
      0.102938477821731,
      0.184291630634225,
      0.240712920336011,
      0.253480350777752,
      0.260356471641872,
      0.267073824653872,
      0.279611620045879,
      0.278103703747162,
      0.254617470437284,
      0.235874542550424,
      0.244291136544381,
      0.261737481962471,
      0.257611823793876,
      0.238804960229472,
      0.226817154545367,
      0.229232375089018,
      0.24032438598302,
      0.250871136395601,
      0.244824234048679,
      0.23125071918358,
      0.228886452972588,
      0.245711454754705,
      0.260978529635618,
      0.250617946198,
      0.231264549660583,
      0.222771630765188,
      0.22782391424635,
      0.23971158392888,
      0.252072515604231,
      0.251776025068586,
      0.240209099441328,
      0.240947038821152,
      0.263541679966941,
      0.278144054189577,
      0.253779832507932,
      0.23164760899899,
      0.242958265839874,
      0.271984855410456,
      0.293704885018587,
      0.296098112165869,
      0.287581769115483,
      0.275907044296696,
      0.276883680581084,
      0.2842539860584,
      0.272147421526852,
      0.2375252744215,
      0.221998084953935,
      0.241512777281239,
      0.278041838270686,
      0.300922782580903,
      0.298976524696338,
      0.287624072167645,
      0.271233750173045,
      0.263697470298176,
      0.268692113900451,
      0.265184621095045,
      0.245033883633243,
      0.23199199698764,
      0.241570212844676,
      0.262566751603649,
      0.265795439104573,
      0.252193868943228,
      0.244678156172383,
      0.250796276382123,
      0.263494231883834,
      0.265577949884409,
      0.250598698539961,
      0.235339530675517,
      0.234224351925719,
      0.253709229296404,
      0.277077327339491,
      0.271861722561679,
      0.251965928456298,
      0.248818639588482,
      0.270105852690268,
      0.28709425162543,
      0.26171219001714,
      0.22660297197128,
      0.206404763152496,
      0.196640955809177,
      0.199065465459987,
      0.214301875116953,
      0.234076231334045,
      0.240411909039726,
      0.234893891170235,
      0.23450567585185,
      0.242871144197056,
      0.244862063400279,
      0.230061342021818,
      0.211524606685944,
      0.204354193176878,
      0.209994912125318,
      0.224882981001112,
      0.241344582447575,
      0.242766825254742,
      0.23494177652127,
      0.235236785549066,
      0.245810386010129,
      0.254523296746256,
      0.245179539656299,
      0.227907527346163,
      0.220677319419399,
      0.232389242604526,
      0.255931319268785,
      0.267176469110971,
      0.251319000624648,
      0.229968476450116,
      0.227710435623222,
      0.246088748160283,
      0.261106506683899,
      0.249874061843508,
      0.229987227360713,
      0.223219387685565,
      0.23642026348259,
      0.260335245144942,
      0.27157661180097,
      0.260372467114526,
      0.241565934059759,
      0.230835977203237,
      0.242473099334518,
      0.261514094732566,
      0.255673580360629,
      0.237750112528515,
      0.234821583246782,
      0.252147189073169,
      0.264883331604096,
      0.251683874998415,
      0.233933264605918,
      0.230755810334349,
      0.243508873915766,
      0.259871717126122,
      0.259352490060596,
      0.24489363017927,
      0.234695048141905,
      0.240065616099385,
      0.260862590916668,
      0.271327165993394,
      0.254772527434899,
      0.233742780213076,
      0.228843227440313,
      0.244292127275975,
      0.251183803565085,
      0.242068603165625,
      0.255411250992651,
      0.306022435338072,
      0.343834395892814,
      0.33461254084441,
      0.319026795690851,
      0.318491181985813,
      0.319779780016074,
      0.308966470819964,
      0.294754301997299,
      0.28183501158879,
      0.283645503731497,
      0.286866203907932,
      0.272006989783392,
      0.257031417013854,
      0.25684583051883,
      0.270166114925227,
      0.285134997695027,
      0.281361314147336,
      0.25494305544963,
      0.234348198412559,
      0.242444566660281,
      0.258192642461308,
      0.249561373538444,
      0.234996333295851,
      0.239486939775646,
      0.25812944137213,
      0.260486202369325,
      0.242781489930239,
      0.230609526455448,
      0.23513387365448,
      0.250871017980534,
      0.261858340342786,
      0.255883769952502,
      0.242981756585567,
      0.237282507554131,
      0.247292275267642,
      0.266576613284868,
      0.267611294833963,
      0.249642052903465,
      0.246718333544206,
      0.2745683316196,
      0.298193769897737,
      0.279080114869289,
      0.247408617119421,
      0.230331574627266,
      0.222445982748865,
      0.222477306210763,
      0.233377635596288,
      0.2402706525565,
      0.238801273333837,
      0.221123642340958,
      0.182376113966005,
      0.128508518677961,
      0.0700586508790955,
      0.0313064349421336,
      0.00886365111044975,
      0.0352498921726985,
      0.0872127663010331,
      0.16699744448662,
      0.226474259778873,
      0.232634047286871,
      0.226531609548896,
      0.221457012852934,
      0.22318889413798,
      0.230492864460472,
      0.243195507881705,
      0.262098516026002,
      0.280598803842777,
      0.278597167165479,
      0.248903708901122,
      0.224394775886398,
      0.226325382014944,
      0.241136936803533,
      0.247704960380037,
      0.245441956615097,
      0.240478185707748,
      0.239038933659955,
      0.247851769290027,
      0.265997297891392,
      0.268515396143049,
      0.242086191290989,
      0.221692189262935,
      0.228025790598706,
      0.243207763254273,
      0.246913923898088,
      0.247954556273833,
      0.254547424404713,
      0.257671630074839,
      0.263003682644746,
      0.277758688402656,
      0.289701498591736,
      0.277128384967806,
      0.259904634004433,
      0.256789051145857,
      0.264656001052277,
      0.274985198723397,
      0.276566680482352,
      0.274057900647571,
      0.274455382425985,
      0.280552492536627,
      0.283855978586105,
      0.275219433088434,
      0.256502036444573,
      0.245092022426804,
      0.247844356385997,
      0.260723231230607,
      0.268946184739025,
      0.270598491694194,
      0.277782622473741,
      0.275142864662515,
      0.258789185971719,
      0.248164995239888,
      0.244635286025863,
      0.237234479643403,
      0.237992861712879,
      0.252874915161703,
      0.266594061878018,
      0.260726451100868,
      0.248881591455597,
      0.251598652157701,
      0.26705105034807,
      0.277604238823889,
      0.267694643660613,
      0.247593398853191,
      0.237786721433579,
      0.243088013865762,
      0.262302630979504,
      0.279888953483475,
      0.270949876293829,
      0.253200712900206,
      0.254157964576811,
      0.280586707869288,
      0.304586517867112,
      0.277734773354494,
      0.233262669684527,
      0.208591001713497,
      0.204583537973733,
      0.215071219069593,
      0.232904881842432,
      0.2465465436077,
      0.240914540233388,
      0.224715357960661,
      0.227513043101767,
      0.253475207660629,
      0.267545924984295,
      0.246474288920703,
      0.219986052287097,
      0.217024080233302,
      0.227882425587303,
      0.240929696832856,
      0.248045245534457,
      0.24091847557442,
      0.233193097558372,
      0.243891590677004,
      0.265898771454174,
      0.275538853655808,
      0.257916948364396,
      0.234436445261561,
      0.227755961673043,
      0.237545552683157,
      0.251862765074699,
      0.252041445879886,
      0.240746340674066,
      0.236711725350006,
      0.247888623538254,
      0.265725739033024,
      0.270731662973747,
      0.252950491421835,
      0.233353970641827,
      0.230311204421141,
      0.243242278741992,
      0.258410287136408,
      0.256196899616632,
      0.245014466696474,
      0.236752551329212,
      0.230792323164419,
      0.236850841240183,
      0.24958498973511,
      0.24570811979171,
      0.236309957964058,
      0.242483394778028,
      0.258678856210088,
      0.261786584259952,
      0.246978533733068,
      0.238957680300802,
      0.244522669960081,
      0.256407240988493,
      0.26274537229855,
      0.254998052023093,
      0.241988806892507,
      0.236437299342132,
      0.245451933249079,
      0.265903615961904,
      0.273068123562067,
      0.254594744364397,
      0.236672761707267,
      0.242826550181379,
      0.270302440003522,
      0.279317574318049,
      0.26605768934958,
      0.279667537671931,
      0.334136767437067,
      0.367593340346346,
      0.346264780297708,
      0.31933911602311,
      0.311870423726929,
      0.307748959778128,
      0.293901342363025,
      0.284200546344994,
      0.280174376817315,
      0.289310086314571,
      0.295483726310437,
      0.278462269272355,
      0.25879428425734,
      0.252925876818273,
      0.263472251515212,
      0.276144298944247,
      0.26931897737486,
      0.238735133347558,
      0.213838856466773,
      0.217934329387092,
      0.235346545053403,
      0.237712948840313,
      0.234989761611175,
      0.244418219127198,
      0.258576373932797,
      0.255466787228561,
      0.239937699029508,
      0.235608284487551,
      0.245044896852024,
      0.256514588414444,
      0.255639773251617,
      0.244678043068041,
      0.239566485102138,
      0.245408261063359,
      0.261250874806848,
      0.276833247507235,
      0.271586987658992,
      0.25211932904858,
      0.248923631357886,
      0.276251907153678,
      0.300822988457115,
      0.27557561704566,
      0.237297761829395,
      0.223555235859689,
      0.229951155402716,
      0.231286857473408,
      0.222483455825328,
      0.214649947385236,
      0.21538815143306,
      0.206010187635078,
      0.16960809096278,
      0.119542158319857,
      0.0673125785829403,
      0.0320805079766686,
      0.00908882817542883,
      0.0374962453118559,
      0.0919315249410752,
      0.17399924285153,
      0.236309511252497,
      0.249828782542555,
      0.246015569853595,
      0.227543036753183,
      0.211293503130015,
      0.215156792881304,
      0.245270087969163,
      0.287345929746839,
      0.315283978035562,
      0.305107451891162,
      0.266327676341569,
      0.244216789216312,
      0.257636120553506,
      0.281509538279655,
      0.288389795177147,
      0.281941882196692,
      0.275880692585945,
      0.27321528061179,
      0.280287432030965,
      0.297769573509732,
      0.296301691091014,
      0.263774710565235,
      0.243252283907666,
      0.25896299871796,
      0.282322911400902,
      0.286410024180268,
      0.282382265780353,
      0.287539279670218,
      0.291620453275824,
      0.286320336224235,
      0.292608934369258,
      0.316985454155279,
      0.329396190909729,
      0.320781611697696,
      0.309869486765679,
      0.302124783267917,
      0.295014343275838,
      0.291705343542828,
      0.29470369774936,
      0.298910031513949,
      0.29949267140427,
      0.307222329105662,
      0.320678650976499,
      0.323970534362637,
      0.315718692712721,
      0.306776422961683,
      0.298081178896274,
      0.280510011825202,
      0.269490117091395,
      0.276926514308349,
      0.279634836826681,
      0.273777156930389,
      0.272542184946213,
      0.264292577711313,
      0.246305207514341,
      0.245898599450698,
      0.273791207277174,
      0.301717340307987,
      0.29452235517374,
      0.266735375528968,
      0.254252197200121,
      0.264896998772164,
      0.283634204759392,
      0.280970738324255,
      0.256239790008392,
      0.238307168182175,
      0.245071364463762,
      0.278677402283465,
      0.31293632513724,
      0.304522211501986,
      0.273875299205423,
      0.266469346506558,
      0.291718352632346,
      0.315259753718761,
      0.289618150057391,
      0.252851686977645,
      0.240493117776715,
      0.25306569610688,
      0.27774689955751,
      0.299839277330215,
      0.303753719166619,
      0.277485657740261,
      0.239503581853029,
      0.230689836370569,
      0.262866382128419,
      0.292839790950314,
      0.283761804964325,
      0.265919147297237,
      0.275498445937891,
      0.29650291099866,
      0.309997430482405,
      0.305884306868959,
      0.28106146078526,
      0.258588199413965,
      0.265508884204978,
      0.296365240254471,
      0.316062241518069,
      0.301088405258513,
      0.270498326018791,
      0.257070023824642,
      0.262982131412779,
      0.276310242262935,
      0.278557174184392,
      0.27082979114597,
      0.27191203760628,
      0.286738312838385,
      0.307545172989861,
      0.312188244156918,
      0.291099554305112,
      0.265973158427807,
      0.2578539772339,
      0.265575110691665,
      0.276823916726651,
      0.274570131151354,
      0.270445610599495,
      0.270082081341197,
      0.265241206753258,
      0.266730502752934,
      0.269208950646791,
      0.255067716408898,
      0.241980732553225,
      0.255872412410381,
      0.288191310617252,
      0.298959158861581,
      0.271967089161227,
      0.245227039499125,
      0.241680395057491,
      0.260344030906889,
      0.280134663405596,
      0.272169443002042,
      0.248027611602567,
      0.237266509568767,
      0.255360736881206,
      0.2936703819156,
      0.311114698717006,
      0.283671134935953,
      0.251226357523677,
      0.250839241476815,
      0.275618214765049,
      0.286008298682835,
      0.280798392977529,
      0.30047302494408,
      0.352497345943657,
      0.376296008435017,
      0.356095810286651,
      0.34434363416577,
      0.351270978106856,
      0.340828241181931,
      0.306589597987276,
      0.287892095386461,
      0.289154621945697,
      0.301926145253607,
      0.304919573355168,
      0.283861470340576,
      0.263703390226358,
      0.259632994602242,
      0.271057322704309,
      0.277851208436931,
      0.261618063106977,
      0.231117223990137,
      0.221103870116648,
      0.242850057852945,
      0.261293235459572,
      0.249657599571164,
      0.24017418605909,
      0.261370967522478,
      0.292942449874152,
      0.29278499651195,
      0.263611839203328,
      0.243929197666339,
      0.248300416978633,
      0.269726084366242,
      0.279447459431615,
      0.261159412685673,
      0.240715335319961,
      0.242041800269514,
      0.270949304756877,
      0.306336769279408,
      0.3054146232528,
      0.271866088344725,
      0.259186096782588,
      0.285872721399855,
      0.309291218967519,
      0.284056076433438,
      0.255968025141723,
      0.259747620723197,
      0.276382676730371,
      0.27942785914542,
      0.265411104721011,
      0.249944698581151,
      0.232250122809052,
      0.199783929182942,
      0.150573497046796,
      0.101114987248716,
      0.0599943234578749,
      0.0302960927964106,
      0.0205766858652779,
      0.079287501855091,
      0.175293506347887,
      0.287556198795006,
      0.342920870836423,
      0.354483739945022,
      0.360861353285839,
      0.336294471469499,
      0.315743844278468,
      0.308542350084996,
      0.303257559539935,
      0.305477192812198,
      0.323532513142206,
      0.339995497406067,
      0.330888564612638,
      0.314885351250495,
      0.325460980687468,
      0.358484939429106,
      0.381906230438843,
      0.38259210870847,
      0.362933558837548,
      0.334169198336046,
      0.31405405055107,
      0.324501737037983,
      0.345652616066669,
      0.33712012546693,
      0.318244863135502,
      0.328115662783334,
      0.358821766309734,
      0.378718774293899,
      0.377960065644141,
      0.36102034540068,
      0.338432575716613,
      0.323293348079233,
      0.342353157590314,
      0.37859316196562,
      0.382544280597075,
      0.363723352762353,
      0.356393822232395,
      0.356653930473431,
      0.353216769405109,
      0.362073308136447,
      0.376805725549943,
      0.37425730142053,
      0.363260144420409,
      0.376684859638765,
      0.39470123495637,
      0.381267054543558,
      0.357601228679332,
      0.350124948807025,
      0.34896460512412,
      0.332562226817618,
      0.321773381931715,
      0.33044978824451,
      0.337893657598714,
      0.343597414210804,
      0.365504245726687,
      0.362852441325937,
      0.323037645354064,
      0.297304780285336,
      0.320649763107627,
      0.373513023602315,
      0.384061962407517,
      0.345376104008938,
      0.309712917306445,
      0.307679687775126,
      0.339037813825313,
      0.362884223471913,
      0.346019269596875,
      0.311173685888004,
      0.297356249692318,
      0.32993364968181,
      0.388199392772796,
      0.397806515327164,
      0.353795947306401,
      0.316072447418005,
      0.323197192763671,
      0.355399625931265,
      0.352557003677419,
      0.336409304112812,
      0.33241666427589,
      0.339892982049113,
      0.35707086819631,
      0.37849051162996,
      0.390024945990836,
      0.368710414601267,
      0.320620018338233,
      0.287257788960295,
      0.298534610178136,
      0.337542794451997,
      0.35946292682677,
      0.360201590674683,
      0.363406670979385,
      0.371829093444891,
      0.382154749354453,
      0.387082220832566,
      0.367707447045236,
      0.333915515129517,
      0.316392808896316,
      0.328968896405283,
      0.357038618494535,
      0.364617761155691,
      0.342012378052175,
      0.320796363674417,
      0.320673865718265,
      0.343340482323627,
      0.369094424191728,
      0.369778735331615,
      0.351013534891824,
      0.341668436483646,
      0.360010562813986,
      0.382220511126245,
      0.371637591182298,
      0.340011298295289,
      0.320642903096741,
      0.323776738608117,
      0.343584320631938,
      0.357764559293078,
      0.362405158520442,
      0.361978446321113,
      0.356376223962426,
      0.368116368972954,
      0.382427296008307,
      0.356003926389842,
      0.313416638876536,
      0.307395294197474,
      0.349220436823669,
      0.38287495097433,
      0.357433808544642,
      0.312938127347677,
      0.295289143163617,
      0.317642707540178,
      0.360118662595692,
      0.368549625825627,
      0.335208110721011,
      0.300069623672503,
      0.303463004480865,
      0.353822333252129,
      0.398263854136932,
      0.377213504068077,
      0.322677238503571,
      0.289235013409254,
      0.290253063964577,
      0.287262657342833,
      0.269565416842078,
      0.283850163729408,
      0.343375830080392,
      0.383227732760443,
      0.372116464421679,
      0.362118299836929,
      0.372245710165515,
      0.369020091731676,
      0.343330824993948,
      0.333152832292965,
      0.343774289705222,
      0.369299637716786,
      0.385552805562434,
      0.36599016563686,
      0.338348427140894,
      0.330906371141507,
      0.346734040933111,
      0.366578696906276,
      0.358979460693176,
      0.323148963032554,
      0.304675683112835,
      0.33909799285236,
      0.375681982943358,
      0.346931876911545,
      0.30434941857096,
      0.314729681916991,
      0.367003662202461,
      0.388651910199429,
      0.351584159340343,
      0.308619466472107,
      0.299568278193798,
      0.329247966000384,
      0.360845520300153,
      0.350529178497583,
      0.317105067275823,
      0.297819781255212,
      0.319478573355598,
      0.373100607722668,
      0.396452520048387,
      0.362819288727004,
      0.330070818699202,
      0.333970681611338,
      0.343501649565779,
      0.316355006069117,
      0.293974178823805,
      0.304650193674026,
      0.314385421359713,
      0.319192312870475,
      0.330436145540791,
      0.340075224975645,
      0.326216679118965,
      0.276064937701493,
      0.205352408791995,
      0.128242636969152,
      0.0627815060451926,
      0.0290689990885413,
      0.0294196072922481,
      0.113037220204316,
      0.252741968491934,
      0.414532162439521,
      0.48487892432324,
      0.470904669990597,
      0.456366744380665,
      0.441600317716295,
      0.457056603519532,
      0.458596178575235,
      0.404033494131687,
      0.352278613794872,
      0.360084334220154,
      0.405348895088499,
      0.416690519952824,
      0.403592827166672,
      0.416275006160827,
      0.458045001494756,
      0.486431924820971,
      0.481049120236111,
      0.448516560018385,
      0.410905614029771,
      0.388255360201157,
      0.400198150207301,
      0.427248421646736,
      0.421728166815282,
      0.40393922785674,
      0.417187790492429,
      0.458005279073704,
      0.482887824327136,
      0.474611572526051,
      0.435745218751443,
      0.391103952316015,
      0.373416261546972,
      0.398882615540062,
      0.427026510816564,
      0.404676565102164,
      0.379717640263266,
      0.394700490464432,
      0.422311121725946,
      0.433985393017622,
      0.448999770602535,
      0.4623274417992,
      0.445799986983355,
      0.428227421186368,
      0.441096434454837,
      0.438459680524947,
      0.392785506056903,
      0.366751753908432,
      0.388477188924785,
      0.419621454777466,
      0.417947045976365,
      0.407426173505825,
      0.415558460875475,
      0.420343725882382,
      0.416799514839417,
      0.433017706558259,
      0.429828714828533,
      0.398682078779145,
      0.388279486834141,
      0.414923394894785,
      0.454591281169016,
      0.448923135672353,
      0.412365872388127,
      0.397994953591125,
      0.417717426234834,
      0.446123530209995,
      0.451017553556854,
      0.424070741125326,
      0.393970653455528,
      0.389305213787787,
      0.423227895242047,
      0.460871117698801,
      0.442467352081454,
      0.396511977567815,
      0.373314555225105,
      0.400552917372199,
      0.440560585145259,
      0.429264732665918,
      0.415173903215281,
      0.417114376012138,
      0.41617936480987,
      0.419375928902951,
      0.44095861484611,
      0.47097407029432,
      0.464998861867731,
      0.419180877936134,
      0.389901006504872,
      0.398537719648229,
      0.423057378511935,
      0.431024363243664,
      0.428199376436063,
      0.423789494087014,
      0.425141681506321,
      0.445691784860724,
      0.473537876975719,
      0.468062253452213,
      0.433034368427483,
      0.404400701312656,
      0.401167861072137,
      0.42183958693457,
      0.427299214498065,
      0.412696994413455,
      0.409570716766462,
      0.426539230672689,
      0.454755852584664,
      0.474435018843609,
      0.462249350580614,
      0.426852722959825,
      0.412527795261835,
      0.437281639780898,
      0.462205861658959,
      0.441353887116593,
      0.411391901422164,
      0.409630152819809,
      0.428717251467003,
      0.451982474746267,
      0.460187542931071,
      0.45422623785485,
      0.442110528377949,
      0.434815073147681,
      0.451138630742506,
      0.464548633264912,
      0.433723439616284,
      0.399049216941133,
      0.403657080637774,
      0.444637714160957,
      0.466206646523419,
      0.433225698341188,
      0.397974358298921,
      0.401561219738415,
      0.435423630065209,
      0.461505862449021,
      0.446858852783315,
      0.410317840441639,
      0.385631450312496,
      0.395298015268628,
      0.435482189679406,
      0.453581939357063,
      0.421106851977821,
      0.37763127530809,
      0.364919530140135,
      0.376857428344773,
      0.345230837149797,
      0.285343225794853,
      0.276764323495781,
      0.327706046459278,
      0.366554663325588,
      0.358051151298762,
      0.344720015395793,
      0.361130804681897,
      0.386612716402012,
      0.391436140182254,
      0.399997351472201,
      0.428026324266498,
      0.47224861866721,
      0.498431432793479,
      0.481980685147137,
      0.46057918883834,
      0.46294788626846,
      0.485361293146114,
      0.509262880463267,
      0.502212432265705,
      0.452200402864637,
      0.403355655499759,
      0.415076745655776,
      0.448733018868633,
      0.424131333803895,
      0.391365137325514,
      0.406767059390883,
      0.451417764353676,
      0.459167510517261,
      0.420971602755882,
      0.394675985060885,
      0.408713640175781,
      0.444450383367336,
      0.45820557899449,
      0.433506602065416,
      0.402725674481186,
      0.395015097607736,
      0.422916309039734,
      0.462472902122372,
      0.457535856244227,
      0.413806013260491,
      0.380392023207176,
      0.379727308752481,
      0.383107095045983,
      0.350174551580879,
      0.325777397776187,
      0.330966842625544,
      0.339001831978289,
      0.350252034138987,
      0.37168357307722,
      0.382673363648888,
      0.377481100097505,
      0.338008882556291,
      0.262173297864227,
      0.161734211859975,
      0.0673604533192965,
      0.028918680118937,
      0.0189181991079547,
      0.0764199877505184,
      0.183671820541905,
      0.331090743857267,
      0.41807794167536,
      0.398969087524278,
      0.36097729797371,
      0.340058515973266,
      0.35148062685595,
      0.357986733468992,
      0.334619783113815,
      0.32109648792943,
      0.345472602937599,
      0.380023375835235,
      0.377343961676928,
      0.357778593805357,
      0.361662817118002,
      0.386738167521955,
      0.400564841859206,
      0.395634437397175,
      0.376892316325214,
      0.361155958408233,
      0.361663777683798,
      0.383863404493156,
      0.398461348276924,
      0.378778715586619,
      0.360916830210037,
      0.371001265420504,
      0.394279154222387,
      0.399457124268155,
      0.388270372628882,
      0.362477281344915,
      0.336804297524798,
      0.337025242502418,
      0.374375352174834,
      0.407273351020216,
      0.38257002655928,
      0.357670056541572,
      0.376184471308026,
      0.407259314425617,
      0.417164715672228,
      0.419883748983725,
      0.417695579617091,
      0.394190990928898,
      0.378009240867687,
      0.393493461703619,
      0.397844463325468,
      0.363642526646666,
      0.349331728188479,
      0.378537213694049,
      0.412612109870813,
      0.409173407810115,
      0.395926317785192,
      0.398841048697508,
      0.388001082264239,
      0.36894704368684,
      0.367831865245948,
      0.360005601520097,
      0.349262265617908,
      0.371466745051565,
      0.405674353829431,
      0.403148708642311,
      0.355213394877141,
      0.325198859379717,
      0.34744405303261,
      0.391055082708679,
      0.402869025478147,
      0.366080821324179,
      0.329001792160449,
      0.330118185107913,
      0.364575451596763,
      0.407189665745969,
      0.40794165824555,
      0.35457156703768,
      0.319080968242456,
      0.338531694328625,
      0.39455844251341,
      0.416277243052631,
      0.364028679212545,
      0.322752547484073,
      0.316550925278351,
      0.319793166741788,
      0.333632216863013,
      0.361615514627046,
      0.392751279220283,
      0.397349435787104,
      0.377223257139725,
      0.378332563400312,
      0.396351749771681,
      0.390802158697696,
      0.356475283961143,
      0.336368685894884,
      0.33704701266453,
      0.346625535306281,
      0.370177113277549,
      0.39696770341501,
      0.396678856370153,
      0.377306748691867,
      0.367617001785272,
      0.377044481474572,
      0.393773859278307,
      0.382244133050685,
      0.360415881757516,
      0.36642627138176,
      0.395872451080872,
      0.415828243943819,
      0.408573656945111,
      0.382198313643696,
      0.355806149321038,
      0.358275863488026,
      0.393091759529922,
      0.417186238036794,
      0.388366822792972,
      0.356446102414244,
      0.363755618553733,
      0.394661195046782,
      0.416239867914362,
      0.410992523639495,
      0.393077413828233,
      0.379853284959741,
      0.376284786750658,
      0.386484044046099,
      0.386523179349306,
      0.36083323270924,
      0.357134242272177,
      0.388246063962089,
      0.414897995240257,
      0.389269994453878,
      0.336797118081286,
      0.323578892558817,
      0.355437739433813,
      0.394636469048534,
      0.391303971949065,
      0.35055594331246,
      0.328254518606686,
      0.345406654599401,
      0.384730746449765,
      0.408815424480607,
      0.378613447783987,
      0.325400509196127,
      0.308867926920976,
      0.343905995700009,
      0.388162406824353,
      0.356761440302469,
      0.2830213210312,
      0.262830592987691,
      0.305583086696882,
      0.344754152199342,
      0.339616276281708,
      0.324696700191266,
      0.344282049604346,
      0.377934921327667,
      0.38022872153787,
      0.370486389072754,
      0.37697917075355,
      0.39996339655035,
      0.406911054168841,
      0.389640513252314,
      0.380379133410852,
      0.390478494816771,
      0.409422517519636,
      0.416632406726992,
      0.399562726575649,
      0.363597960106122,
      0.3350302770901,
      0.338832123610368,
      0.35162894341631,
      0.34418684681982,
      0.356216298353657,
      0.393518322590612,
      0.410415840598148,
      0.37627344016239,
      0.335634237212446,
      0.338722112662267,
      0.377005836309967,
      0.406016877314282,
      0.381789346735482,
      0.336400935980383,
      0.32524814755225,
      0.35268471628094,
      0.395259282545539,
      0.408982617699208,
      0.367711808648421,
      0.32237285818847,
      0.324827936365287,
      0.367847501703631,
      0.385147946475522,
      0.336278336177857,
      0.289415488940963,
      0.277718165241628,
      0.288191894137151,
      0.314471598205721,
      0.340171515352535,
      0.339659440294957,
      0.322734980304874,
      0.285456837813422,
      0.219417984235532,
      0.137536580512287,
      0.060890810621783,
      0.0255374746150345,
      0.0078222458481168,
      0.0355319180602968,
      0.0933126619199364,
      0.187620422971726,
      0.263392922742475,
      0.271444401087038,
      0.255104479460153,
      0.232341717135633,
      0.214513232571494,
      0.204929520254907,
      0.207474480809673,
      0.226719936354772,
      0.265118535422333,
      0.300421016616616,
      0.302153061667489,
      0.278112768867308,
      0.261042354952418,
      0.259230900939299,
      0.265926549039596,
      0.277764160594477,
      0.276634863902152,
      0.265707285437807,
      0.265844264584718,
      0.294395446499755,
      0.320893426060013,
      0.306889574348155,
      0.276207297956838,
      0.260067609037575,
      0.261176181747627,
      0.269989963258778,
      0.283760981782006,
      0.281646169661109,
      0.264114963530625,
      0.260997601730171,
      0.296963626283902,
      0.33902246629351,
      0.324015420873203,
      0.295574702507927,
      0.307788812103724,
      0.343414017693489,
      0.360840872395345,
      0.35701785240572,
      0.339693471977975,
      0.306769362483076,
      0.286098662395353,
      0.303234528257556,
      0.321106595360602,
      0.300167206273101,
      0.282912247329171,
      0.304241341148819,
      0.342593510008227,
      0.353855164930018,
      0.349903901854578,
      0.346564024377422,
      0.313801193923042,
      0.275084947987188,
      0.2688883863966,
      0.272329080310694,
      0.26470729610702,
      0.265862385618357,
      0.282498119633893,
      0.290559113144487,
      0.276445711420179,
      0.262332352901675,
      0.27224430546572,
      0.293513096359679,
      0.296238390117654,
      0.27049582995648,
      0.246629228187912,
      0.246486282922843,
      0.264962757316616,
      0.292531391823966,
      0.302753665897511,
      0.278469119457365,
      0.257647365108596,
      0.276366274675956,
      0.321211808676507,
      0.333586443663124,
      0.285044090646871,
      0.244943725799065,
      0.234066345163416,
      0.229232229581075,
      0.232283381231931,
      0.251079840338479,
      0.281357191103169,
      0.297471011309386,
      0.297695015188577,
      0.302316263421382,
      0.304182631946284,
      0.285176380146621,
      0.258620504767057,
      0.246609342676805,
      0.242988894926931,
      0.245148657975216,
      0.264084898818542,
      0.294929104037262,
      0.309134049762708,
      0.304171199901241,
      0.29785962021255,
      0.30353786829612,
      0.321764675312201,
      0.320625229638371,
      0.293305533112613,
      0.276604042290272,
      0.289405319314679,
      0.306965031047998,
      0.307018241638193,
      0.287782987187758,
      0.265299563724229,
      0.260889538333213,
      0.29432660282288,
      0.341536619893794,
      0.338920190031496,
      0.298051719090452,
      0.275588589181394,
      0.286618378880185,
      0.302496902856005,
      0.302570264932542,
      0.289876843290938,
      0.273163424301072,
      0.25622042962579,
      0.260321453805598,
      0.273090549635408,
      0.267859584283245,
      0.263695035107549,
      0.277708899977755,
      0.293385882993499,
      0.282671794808646,
      0.256801775629128,
      0.249965878717847,
      0.266794752638032,
      0.286012732114539,
      0.284059618781111,
      0.262411565239295,
      0.250362758023812,
      0.257522053746649,
      0.276413102089978,
      0.293007386825671,
      0.28395764182572,
      0.25633590596951,
      0.243998916720191,
      0.262077371155971,
      0.288785277997661,
      0.278187513723345,
      0.241328613121071,
      0.238102308788816,
      0.289722337693663,
      0.341559449199765,
      0.33736652108182,
      0.311247181215485,
      0.313304874626192,
      0.329498593176917,
      0.322362224079442,
      0.301647443609172,
      0.286163152125363,
      0.287984496968546,
      0.286686910508263,
      0.272605740418255,
      0.262934145615768,
      0.264477935511147,
      0.274478358666956,
      0.284421951763564,
      0.28403909624106,
      0.262320924446041,
      0.238547241021727,
      0.240352715022914,
      0.255686410648063,
      0.259204056948523,
      0.260738738203967,
      0.275397479395335,
      0.285834149291756,
      0.272145433915249,
      0.25310301534524,
      0.255453054623872,
      0.277600470953791,
      0.293943499518007,
      0.280903253876949,
      0.254874867285342,
      0.247462840714123,
      0.260297542078241,
      0.282319062825532,
      0.294247415580285,
      0.277629896835655,
      0.253636374495817,
      0.266349708770727,
      0.319177446147997,
      0.342962372404334,
      0.298486872287274,
      0.257630028872988,
      0.256806463169945,
      0.264386859640332,
      0.271715128346236,
      0.288081188681175,
      0.298478864896809,
      0.276616607027709,
      0.224034669240904,
      0.161276937716703,
      0.104229927398634,
      0.0553301157977991,
      0.023421816708567,
      0.00486284360636247,
      0.0253494599201303,
      0.0696388352670641,
      0.142465977392909,
      0.205804704312148,
      0.229516402818825,
      0.236325015911658,
      0.225316428768187,
      0.209866934488915,
      0.200168474975731,
      0.201485405323172,
      0.214322894299465,
      0.24302488901666,
      0.269641219797446,
      0.26772687247335,
      0.243029889263235,
      0.220899757617115,
      0.212074122774877,
      0.216237681824588,
      0.230469919270209,
      0.232541092997151,
      0.221642878345543,
      0.218347069168902,
      0.240163429455036,
      0.265269369977736,
      0.259205202610734,
      0.234131512229238,
      0.214998293649735,
      0.209443318005881,
      0.217412011735792,
      0.2364653347968,
      0.2423268286657,
      0.228757087368928,
      0.223081344808602,
      0.247760637832827,
      0.273998171730547,
      0.254438672874924,
      0.226940636937102,
      0.235236319319017,
      0.269458710099042,
      0.296198817045211,
      0.298808786875211,
      0.285001295891194,
      0.263641205470809,
      0.254983993702855,
      0.267088745929219,
      0.269216538491423,
      0.241071997030714,
      0.220354352673524,
      0.236009108166079,
      0.272177527621753,
      0.292850188671056,
      0.292541569158391,
      0.286375619526826,
      0.265073180124519,
      0.244714004621864,
      0.243711157724714,
      0.239955402691264,
      0.221268352024501,
      0.214099425603878,
      0.23462438857937,
      0.261134229328776,
      0.261572495456631,
      0.243016030588974,
      0.234125676872832,
      0.243031373815432,
      0.259375248028539,
      0.258914141914959,
      0.235778824787181,
      0.21640038941671,
      0.220364748344911,
      0.252150988588724,
      0.280113227472339,
      0.267537892357101,
      0.240082822150345,
      0.237269717365917,
      0.265642642231498,
      0.285264104117693,
      0.253704943174291,
      0.220764515573118,
      0.21298832589983,
      0.208106885266193,
      0.203111948091856,
      0.212085790080513,
      0.237836112914179,
      0.25050941881216,
      0.246050300067507,
      0.244178650199662,
      0.246042575605049,
      0.238060856770157,
      0.225836341974135,
      0.220081856998162,
      0.214505004768769,
      0.209843729237375,
      0.219982419391468,
      0.245173945550487,
      0.253061405940881,
      0.243277726150761,
      0.241367339731659,
      0.253428798344593,
      0.268414084754709,
      0.26541575341587,
      0.244259356535074,
      0.227035912572815,
      0.22937300015492,
      0.246647869614772,
      0.25881024983605,
      0.246180692172953,
      0.22205074274078,
      0.212662967212061,
      0.233983132794445,
      0.267540093084479,
      0.271794023346502,
      0.248295664227239,
      0.229301934121748,
      0.230850283584667,
      0.245545928080333,
      0.257726069119216,
      0.254459551198275,
      0.234696325253939,
      0.21389694437096,
      0.224494924403621,
      0.248051538883346,
      0.239050344675958,
      0.217447834420159,
      0.222779388501011,
      0.250380510276555,
      0.259208273945917,
      0.234044965216633,
      0.211183848885892,
      0.214999750270056,
      0.240638870162581,
      0.263099099773261,
      0.254444693843699,
      0.229614366569217,
      0.218140995705855,
      0.232086980740144,
      0.260830815191,
      0.267982382321891,
      0.244415127261762,
      0.220594729219526,
      0.219546947750428,
      0.240464370377317,
      0.245139366137074,
      0.222729656226336,
      0.223546798422474,
      0.273923407870973,
      0.321944925745058,
      0.3164379148435,
      0.29518967386726,
      0.295982441933795,
      0.306794149617881,
      0.304970138472729,
      0.296288924248135,
      0.282450185429321,
      0.272703372276077,
      0.260226942753998,
      0.24254469507811,
      0.233763417320995,
      0.235293733739871,
      0.245341165498209,
      0.258575724212489,
      0.258862463920412,
      0.233616308395881,
      0.212993997178556,
      0.226982267442957,
      0.247093479758184,
      0.234285580606472,
      0.21600200331931,
      0.228438414689591,
      0.25300424344091,
      0.24899776244196,
      0.222383641961375,
      0.208523241213668,
      0.221878145421108,
      0.250489051380679,
      0.26374465832553,
      0.244727747860274,
      0.221182142585904,
      0.21780402326378,
      0.241415413057958,
      0.271790932608301,
      0.270259609264722,
      0.243658485357083,
      0.230243988759475,
      0.244229564810843,
      0.254968904525476,
      0.238621383861386,
      0.231771103833277,
      0.248818458351556,
      0.254402974364164,
      0.242626370331408,
      0.243775764349658,
      0.25798959608,
      0.245725399211164,
      0.197514982495887,
      0.141007931936002,
      0.0922993977564462,
      0.0527708525535466,
      0.0229099027355675,
      0.00494332917670259,
      0.0265726492340976,
      0.0713858205316327,
      0.141392228742876,
      0.205939371968494,
      0.238482098506163,
      0.246465253310331,
      0.234455332503507,
      0.235857986600078,
      0.244079509011227,
      0.241210056533009,
      0.236638125725431,
      0.241987156123001,
      0.241640195108648,
      0.224344609666907,
      0.208593490960605,
      0.205029788995806,
      0.209747242395577,
      0.214414245737589,
      0.220921105256535,
      0.221191047065076,
      0.214554940981279,
      0.212544992860332,
      0.222141414269595,
      0.228094430675159,
      0.214632790277343,
      0.201940511399168,
      0.202111680342341,
      0.20867177448966,
      0.213921880319536,
      0.223455126571691,
      0.22772460157817,
      0.218331727805482,
      0.211031585462438,
      0.22453674505088,
      0.245408373977135,
      0.237050937473224,
      0.214574864079297,
      0.205526139718563,
      0.214991394254077,
      0.23272955304485,
      0.247102270106437,
      0.254838788393149,
      0.25369366829737,
      0.252898552397684,
      0.257607087363825,
      0.254136096605859,
      0.231205622157207,
      0.209345060965363,
      0.205095971288554,
      0.215677102499214,
      0.227821983862323,
      0.237916069027345,
      0.251461121380195,
      0.253558829493138,
      0.241369672502527,
      0.229545208454638,
      0.215920938767006,
      0.203576459609029,
      0.212343213400663,
      0.243527012600798,
      0.264860832595305,
      0.249234367641368,
      0.224463671656284,
      0.219753139250236,
      0.234235987985236,
      0.249120433583089,
      0.242122902700381,
      0.216655553603371,
      0.202627377677176,
      0.215435403956925,
      0.250637512936184,
      0.271958819354181,
      0.250092324923768,
      0.221267778268042,
      0.217632323094524,
      0.24353262635274,
      0.267920726240347,
      0.244587273133023,
      0.206753200315819,
      0.188212320365391,
      0.181636431125112,
      0.1805825443332,
      0.188089051071423,
      0.20567988250743,
      0.215409843865534,
      0.211477364766163,
      0.214645867101991,
      0.2306126860629,
      0.236325506760087,
      0.216742386786924,
      0.196005127130219,
      0.189741845303878,
      0.190244156700548,
      0.196122253890246,
      0.210648788329901,
      0.217528210613246,
      0.210735663117688,
      0.212747383035657,
      0.228624291775514,
      0.241531834098579,
      0.234065779409297,
      0.219521822661271,
      0.212528713165628,
      0.215217107766055,
      0.226822698542334,
      0.234569360518821,
      0.225020041355559,
      0.207563856097886,
      0.203245635772686,
      0.21693719767041,
      0.232197414962812,
      0.230050428409498,
      0.220457779768193,
      0.2148041505369,
      0.216892730396508,
      0.226010988844857,
      0.233656377035155,
      0.234980656726897,
      0.227142910798767,
      0.214747750421175,
      0.217675227958406,
      0.228641344572165,
      0.218854248388753,
      0.208011010807522,
      0.225721329989385,
      0.255528591423169,
      0.251873013006721,
      0.217307882706482,
      0.19843976555089,
      0.20906130033085,
      0.235138066399182,
      0.249591703695708,
      0.234607113352795,
      0.211239023757781,
      0.207033445346474,
      0.229665777541123,
      0.26175570816392,
      0.263065226887094,
      0.232911732030754,
      0.208759087534824,
      0.216493810807479,
      0.249786820339722,
      0.253937978120497,
      0.220338527549938,
      0.213258554106234,
      0.257572577644455,
      0.296821608044888,
      0.290334768576669,
      0.279780724541363,
      0.292305516303655,
      0.310321462104359,
      0.311950206543876,
      0.304543556495254,
      0.291358520701134,
      0.2795947601982,
      0.26436649044178,
      0.244586873167311,
      0.234239117481326,
      0.235142690075959,
      0.24382775046552,
      0.254238930521558,
      0.248502988232261,
      0.220419342207998,
      0.198705311807142,
      0.205983388244489,
      0.21971982327934,
      0.212384410838832,
      0.209576429219196,
      0.232716685303391,
      0.256829602687706,
      0.242282181183978,
      0.209342205678459,
      0.198157592900162,
      0.216169053242793,
      0.244526071207347,
      0.250572788687286,
      0.226134973418127,
      0.20456238473745,
      0.209807977770453,
      0.241263935222162,
      0.269017802494643,
      0.256706962358959,
      0.225671021038543,
      0.210127211065884,
      0.21825482246822,
      0.23120994605349,
      0.221894871923276,
      0.211594459326224,
      0.215384271119784,
      0.223921191720506,
      0.22054573271115,
      0.208527449690825,
      0.198368546820452,
      0.190243536554609,
      0.168700884884228,
      0.131075018199523,
      0.0882906784134365,
      0.0507158666025289,
      0.0228284141401147,
      0.00572760132923071,
      0.0302989842844863,
      0.0802098782221474,
      0.154208996482706,
      0.213305676994339,
      0.233148173312207,
      0.235035057572856,
      0.227845247944251,
      0.246031251562906,
      0.270898486009527,
      0.268226955447147,
      0.252944766162871,
      0.246391558537059,
      0.236747500053039,
      0.211973830149754,
      0.199724208890442,
      0.21179028959198,
      0.233318101548456,
      0.241737082105299,
      0.23804762437414,
      0.230162551137885,
      0.220368703958192,
      0.21701260560799,
      0.225767537872291,
      0.229523255899092,
      0.211033103655372,
      0.19877809775842,
      0.212009316728173,
      0.234126312962788,
      0.240189028044565,
      0.236110790035252,
      0.231565322522735,
      0.223119169947115,
      0.216545564259024,
      0.228362193059603,
      0.25262593469618,
      0.255226418351316,
      0.241043553707558,
      0.231627064615592,
      0.233759339421156,
      0.241296023704207,
      0.252762715536022,
      0.263411284777014,
      0.262852668198733,
      0.254207485329802,
      0.253301548171581,
      0.258730585813071,
      0.251686304279267,
      0.238185481680972,
      0.231747770794343,
      0.234059442886521,
      0.233634266387819,
      0.237993010001215,
      0.253558783242465,
      0.261710258477514,
      0.254766253089753,
      0.24218793351197,
      0.220837605551862,
      0.203104677277855,
      0.21078020838873,
      0.239513012917405,
      0.25813371587452,
      0.242594495698672,
      0.218530757001057,
      0.215783267326242,
      0.234756919981192,
      0.25467336086962,
      0.247063273229972,
      0.217145850387902,
      0.199765793082324,
      0.211988389790389,
      0.244571848595272,
      0.264293684575721,
      0.244613456886998,
      0.217545603688166,
      0.216882545663157,
      0.246863570469029,
      0.272165127976375,
      0.249857792283857,
      0.212640594430411,
      0.191330409715937,
      0.185605398562495,
      0.188906914582068,
      0.200364154781752,
      0.214049239636454,
      0.21680133330099,
      0.208000186980387,
      0.212027326675686,
      0.236454397244205,
      0.25143514267154,
      0.232915730793954,
      0.206660255784852,
      0.199581721162642,
      0.202404896800731,
      0.209068453904277,
      0.217835594382731,
      0.22223278493411,
      0.220905416063135,
      0.227676032131386,
      0.243714466937689,
      0.253567363717538,
      0.245097074417506,
      0.231411388436186,
      0.227437991939863,
      0.230674469134318,
      0.235716151543586,
      0.232812793997054,
      0.225742952442181,
      0.222379015972924,
      0.227703531756368,
      0.238372888829512,
      0.245069135567832,
      0.238375976513805,
      0.229996155670012,
      0.228780455982255,
      0.232072789189162,
      0.233725209978368,
      0.227521703968439,
      0.225092968398287,
      0.227417203416306,
      0.228616770888448,
      0.234439989474761,
      0.235121694846699,
      0.217132464674898,
      0.206634324509399,
      0.224644638391519,
      0.253924091661451,
      0.25417036150837,
      0.223199352780924,
      0.203151588673144,
      0.210329369696598,
      0.233381491272037,
      0.244814984025427,
      0.22682714158433,
      0.202548292602349,
      0.199645205751559,
      0.22267463662519,
      0.253152571173077,
      0.256804362205597,
      0.228990536733913,
      0.203437222569101,
      0.210763009093401,
      0.242604666682176,
      0.244819851086717,
      0.215449068966032,
      0.21395790695434,
      0.263440231385917,
      0.307232606112043,
      0.305237764951367,
      0.303409435157653,
      0.324778626024979,
      0.341509312343762,
      0.330017714921327,
      0.307454156530597,
      0.284082187536663,
      0.269999010503486,
      0.262706559337219,
      0.249711625873673,
      0.235989999723487,
      0.233106897663826,
      0.241761626150622,
      0.247476330944219,
      0.233578334342084,
      0.209253433374805,
      0.199850146542453,
      0.21235799235834,
      0.220443043371153,
      0.209811474009464,
      0.207827994064245,
      0.229520612539076,
      0.252582228113503,
      0.24316225911338,
      0.214561717938202,
      0.203540362654371,
      0.218176942595918,
      0.242225209624376,
      0.245570672987537,
      0.222389805213511,
      0.202986250255314,
      0.208774346555771,
      0.237871319618639,
      0.262831233525389,
      0.251401862426216,
      0.222121880347008,
      0.214860488445031,
      0.24077422760065,
      0.263072866845347,
      0.242454969969616,
      0.213182701574527,
      0.200176244754065,
      0.207238377411977,
      0.220810813202588,
      0.219145005211487,
      0.199095408255207,
      0.181469870464045,
      0.164589563874424,
      0.130885234416401,
      0.0877685260965986,
      0.0486563675564611,
      0.0217033255797569,
      0.00590038259368712,
      0.0317638097324194,
      0.0860077657999691,
      0.166785162400233,
      0.22501557834812,
      0.23280456526796,
      0.230655912736174,
      0.225965342746469,
      0.233075328488886,
      0.244587067798441,
      0.246141230126653,
      0.25071654827413,
      0.266715536206505,
      0.274530041549396,
      0.254268166867715,
      0.234704086565047,
      0.244401933389594,
      0.273468212432578,
      0.291006864821403,
      0.288371496035514,
      0.27099163504994,
      0.248260703026737,
      0.236170857196505,
      0.25036376552223,
      0.26805714346014,
      0.256522453334598,
      0.240200522698862,
      0.251638344691459,
      0.280746970312887,
      0.295762369777928,
      0.289370916584142,
      0.271351614688622,
      0.254623318553876,
      0.253213244249244,
      0.276879408210439,
      0.302084249226222,
      0.294772651689147,
      0.276855210804881,
      0.271859407293835,
      0.278903294374868,
      0.287223821259953,
      0.297011387974815,
      0.303081173277404,
      0.29864460188743,
      0.289609465515162,
      0.290420977969749,
      0.293555540904305,
      0.28232940062734,
      0.270111036187532,
      0.269746521151644,
      0.277882512647444,
      0.275644520808954,
      0.272120574659662,
      0.278166923557971,
      0.28398773878056,
      0.285602110594723,
      0.28651555710886,
      0.268786297799357,
      0.240698623599729,
      0.238517791727897,
      0.266561351082019,
      0.294891132743033,
      0.284433392127243,
      0.253146220292741,
      0.242582738182806,
      0.265237886185299,
      0.294241187601331,
      0.287576166908493,
      0.251075763091071,
      0.226557143406384,
      0.23424852793276,
      0.269574705929802,
      0.303949219165092,
      0.292790420935519,
      0.256128384418,
      0.242234045323401,
      0.267625046834807,
      0.296862794018504,
      0.28080946169819,
      0.249796199572795,
      0.232295551499819,
      0.228299419094394,
      0.232049130655023,
      0.241908074152366,
      0.252900811857043,
      0.253037014637379,
      0.238949532537657,
      0.227912280531096,
      0.239676628775677,
      0.263469944836947,
      0.269275091219532,
      0.256147803883907,
      0.248060402726952,
      0.249002444291347,
      0.254193601206468,
      0.259462382590297,
      0.256251564102252,
      0.249731648458752,
      0.250398016961056,
      0.263227672185443,
      0.280718771154676,
      0.283834746220333,
      0.266052799627456,
      0.250606128255463,
      0.253609751900463,
      0.272266734843376,
      0.285542677640212,
      0.282853271693716,
      0.273889941838322,
      0.269311056884846,
      0.274080638405781,
      0.283000648035803,
      0.280346815311001,
      0.264589516699952,
      0.251392425150372,
      0.252856292015415,
      0.266621625766989,
      0.271918872656586,
      0.267173853720492,
      0.262992935542919,
      0.267516205733317,
      0.287939879329772,
      0.296733023343393,
      0.267909162569165,
      0.239484928471983,
      0.246645160324197,
      0.278330042214323,
      0.287024261100327,
      0.25595602183879,
      0.229908855581386,
      0.236519046911141,
      0.268211851664752,
      0.291966768800469,
      0.2773610988832,
      0.243382006041042,
      0.226657408586573,
      0.244068931347584,
      0.284964428432245,
      0.303394218679353,
      0.272556496661577,
      0.232298637291339,
      0.222859332513026,
      0.240824834160869,
      0.239387042486563,
      0.215557627648304,
      0.221343708145714,
      0.279877773963585,
      0.332993010354325,
      0.335645132507218,
      0.335245014803128,
      0.351727524636107,
      0.350929042550684,
      0.326579882622817,
      0.306926336989829,
      0.291749452270915,
      0.285522801988123,
      0.286698829862139,
      0.27301252994143,
      0.248932068386952,
      0.237804250061524,
      0.245566161171738,
      0.255858492549778,
      0.250470464852509,
      0.236618434044145,
      0.237757564704401,
      0.260327513017542,
      0.271270556319406,
      0.248758148075558,
      0.234022678290676,
      0.254379121331647,
      0.289662017765606,
      0.292843246985934,
      0.260398859344093,
      0.237354432685909,
      0.24737326946213,
      0.277566572602677,
      0.286045960382219,
      0.260004571351657,
      0.233946538502496,
      0.23270054982862,
      0.259400356171406,
      0.293752994266401,
      0.293752429492372,
      0.259574952581781,
      0.243183270725937,
      0.268576933658412,
      0.294196795308655,
      0.270894708728593,
      0.239801836531591,
      0.232008082625663,
      0.230929653648248,
      0.233737311695275,
      0.238820443406124,
      0.23495420077724,
      0.218792574424368,
      0.190111740578743,
      0.147123336713907,
      0.0938609089607192,
      0.0453916284828336,
      0.01812641071518,
      0.00512433969392851,
      0.028653518546368,
      0.0802716634050999,
      0.162309222605763,
      0.225813308533364,
      0.235579994347178,
      0.231290598008624,
      0.219782503761333,
      0.209507656657151,
      0.208965035884543,
      0.224915751683532,
      0.257346473661348,
      0.302881522114781,
      0.341963752342399,
      0.341834543964901,
      0.319792687753407,
      0.321033611272256,
      0.349164440733818,
      0.3701655616557,
      0.368931775628235,
      0.348643979632809,
      0.320446046017543,
      0.302981070672804,
      0.321421653545166,
      0.355037526547241,
      0.352502790349161,
      0.327731172637681,
      0.328606152034476,
      0.354723259007608,
      0.371674741766101,
      0.371197345790276,
      0.352515486954286,
      0.320804607410939,
      0.300096514667541,
      0.315911906268965,
      0.345280428637786,
      0.335700489691703,
      0.31178526148411,
      0.310815775788581,
      0.327342040101976,
      0.345688859816177,
      0.367749686802432,
      0.376371186991065,
      0.35936277400242,
      0.346980852314165,
      0.358497872155473,
      0.359673904798078,
      0.327911871882987,
      0.301594979353914,
      0.305200019597815,
      0.325065836006116,
      0.332064659344399,
      0.336819859411223,
      0.350896025498197,
      0.34516374819256,
      0.327938270609216,
      0.33307472558291,
      0.332687989335233,
      0.307127915958862,
      0.294802709877692,
      0.316320358255447,
      0.347280287656343,
      0.338787640166204,
      0.304298598940245,
      0.294309103050273,
      0.320438516576706,
      0.352174141014821,
      0.349884889941219,
      0.317691109153101,
      0.288827149934325,
      0.2881894779496,
      0.322719678473437,
      0.362577792135156,
      0.352567119233537,
      0.310955542275168,
      0.292482729407695,
      0.321979639119198,
      0.362875176478709,
      0.35321969596274,
      0.327551349530394,
      0.315291018176078,
      0.30840905114141,
      0.303770085449777,
      0.308011964516234,
      0.322015395694131,
      0.325975490606372,
      0.309620350289248,
      0.291895699927785,
      0.296287318154628,
      0.322044813195302,
      0.341563655260422,
      0.340842259163496,
      0.329853794283721,
      0.319638796971349,
      0.318728226931215,
      0.330059486272031,
      0.330599069167006,
      0.314504285814604,
      0.29638822263219,
      0.294405075953219,
      0.320439359448438,
      0.339903407653402,
      0.324887695362419,
      0.308502314185626,
      0.31605234165026,
      0.345177953955674,
      0.377317681819757,
      0.377443270282519,
      0.34451209666405,
      0.317920085325958,
      0.325170024922899,
      0.346427725091448,
      0.343550065325909,
      0.320195444176981,
      0.306941525194033,
      0.3159677100443,
      0.34028615831456,
      0.358096687666994,
      0.35791387336448,
      0.343604402523159,
      0.330825649677031,
      0.341405254634009,
      0.349933707242296,
      0.325145457558652,
      0.297779304484287,
      0.302062644915327,
      0.334811485780431,
      0.348997678046024,
      0.317894845756896,
      0.28658842517099,
      0.291865469723804,
      0.329967123175626,
      0.363060597294034,
      0.353506645492458,
      0.316562283694217,
      0.290553818232402,
      0.300334762187309,
      0.340604149499288,
      0.360803138629566,
      0.326879602699106,
      0.281562731057613,
      0.268105726862735,
      0.2811341900976,
      0.269034862663964,
      0.234731767103048,
      0.235393286039769,
      0.287901794451036,
      0.332193140968371,
      0.327121739848316,
      0.311432654980054,
      0.312639989226366,
      0.312499524206148,
      0.311863418451764,
      0.325325718792657,
      0.339947104223162,
      0.361232862408495,
      0.376077269698733,
      0.357018299525299,
      0.324128856712741,
      0.310950771038212,
      0.325059083569716,
      0.352713023858428,
      0.36403357016077,
      0.337420762078925,
      0.306184435000561,
      0.312826402600555,
      0.332091083777351,
      0.31329516438304,
      0.292731894548944,
      0.309207798643167,
      0.345852812611446,
      0.352161590871704,
      0.318445808578792,
      0.293754058828465,
      0.305738366001497,
      0.340342744395409,
      0.351064928936416,
      0.323908014275188,
      0.292925173520363,
      0.286719714052988,
      0.315655758902428,
      0.35767635532921,
      0.359583855748226,
      0.317397741945558,
      0.289323467599454,
      0.305135015457107,
      0.324121230039107,
      0.287429663221052,
      0.249221534163297,
      0.250074105596955,
      0.253318416837713,
      0.243038208359763,
      0.239306398297927,
      0.24423668992302,
      0.241630189778802,
      0.214893804762536,
      0.168673274954915,
      0.105964775274741,
      0.045768652848978,
      0.0166220571835947,
      0.00460743519083152,
      0.0274464939552841,
      0.0802335468110266,
      0.167410803409107,
      0.235019980662059,
      0.241847246320328,
      0.231501966860712,
      0.216978568763211,
      0.208197204421018,
      0.210417210506695,
      0.228016828400837,
      0.257927466656777,
      0.301823252040229,
      0.349081794706232,
      0.362843300931776,
      0.34799891857813,
      0.3456561429236,
      0.362656491157233,
      0.370483339333895,
      0.365156504462562,
      0.35185117258897,
      0.339824759651906,
      0.33770070206086,
      0.357495077059399,
      0.378696108222896,
      0.368175321046518,
      0.34639531937722,
      0.347631336663572,
      0.364425025654216,
      0.367039569565993,
      0.368243619266399,
      0.362176389424146,
      0.335454889462637,
      0.310026993694691,
      0.318720086502192,
      0.343500378262041,
      0.330293955830306,
      0.313710477142779,
      0.33247584935079,
      0.362055912499178,
      0.372381375234512,
      0.378963424723662,
      0.379659691942599,
      0.355039394095902,
      0.340391522125108,
      0.357420293467558,
      0.360882578031104,
      0.326544559984163,
      0.307399361102137,
      0.329319640637988,
      0.358595306572627,
      0.359215330681487,
      0.353390876023318,
      0.360822419716535,
      0.342896392453359,
      0.312249359464523,
      0.311126848391903,
      0.312824999808576,
      0.298729695670712,
      0.299451514884495,
      0.330300524007349,
      0.357010483778856,
      0.339104080886005,
      0.305705604244137,
      0.305223089908109,
      0.332831746402012,
      0.351037971818843,
      0.337490635266642,
      0.3110372439894,
      0.297680971946045,
      0.309053053512043,
      0.344700245500397,
      0.366347005499455,
      0.337182012320961,
      0.299099995405289,
      0.302116953268147,
      0.35174469981103,
      0.391516673235201,
      0.36588049313251,
      0.332906859912468,
      0.327278301419143,
      0.327191383567419,
      0.328367921714732,
      0.341546056643411,
      0.359249488305507,
      0.348857381963486,
      0.320439069315619,
      0.319505337220704,
      0.342819847992908,
      0.356532259059037,
      0.348937561327543,
      0.342175283358127,
      0.337802046221836,
      0.33537464487701,
      0.346268344157728,
      0.361782821377419,
      0.348738132745323,
      0.31891209867624,
      0.31023597909715,
      0.322161608488765,
      0.340805460369093,
      0.337525367833443,
      0.322657882259446,
      0.335270415308584,
      0.367075924702123,
      0.389384827932168,
      0.389698717731654,
      0.36747689589869,
      0.333876501620057,
      0.326543220916025,
      0.357926693751432,
      0.383107205011572,
      0.358177232272612,
      0.3257526399085,
      0.332103444243824,
      0.361561035583824,
      0.380694806684777,
      0.375378700192344,
      0.360204051195102,
      0.337460561728938,
      0.312706566391626,
      0.307002484875819,
      0.308686801114035,
      0.297695514458765,
      0.292826340338349,
      0.313675964728814,
      0.348844180441898,
      0.354211933261524,
      0.319951776260869,
      0.296209725568254,
      0.308826981067175,
      0.340087165276866,
      0.35116817200943,
      0.32831479159353,
      0.302912633325342,
      0.297853160421193,
      0.320412392010479,
      0.354461061594682,
      0.354450146404165,
      0.312901112348886,
      0.278531058584215,
      0.279465154455068,
      0.295897086655806,
      0.278731279042508,
      0.238405983707613,
      0.230544486684329,
      0.265607207986491,
      0.296083199696132,
      0.288769127477443,
      0.275211147148797,
      0.289646101789815,
      0.31705916835181,
      0.326794539050201,
      0.32812352694203,
      0.338898766106144,
      0.370155968095972,
      0.386609259812991,
      0.368130453936427,
      0.349211049943087,
      0.352925799497966,
      0.372198965568101,
      0.390138015132647,
      0.385951304811583,
      0.344105498978834,
      0.297727388387206,
      0.291815088551262,
      0.308553068062538,
      0.301394143200455,
      0.298414545516286,
      0.327280674672892,
      0.359206439534861,
      0.348197093606517,
      0.308688396423998,
      0.292967081649835,
      0.314887619334443,
      0.346808289510219,
      0.346850630042358,
      0.318849198458456,
      0.299415169532825,
      0.305923258669463,
      0.336821648316681,
      0.362458910827832,
      0.343427536191974,
      0.301993392278162,
      0.293314382946893,
      0.328444523461346,
      0.346895304573674,
      0.295552529852672,
      0.240847684642898,
      0.227575256365176,
      0.239929328075416,
      0.254195405753733,
      0.254585412244857,
      0.235802501977734,
      0.217182220610639,
      0.192601544101099,
      0.152135893592836,
      0.0979154447156682,
      0.0459064997308584,
      0.0174434530340959,
      0.00547826475396916,
      0.0331520213344862,
      0.0928025166070085,
      0.183210027976696,
      0.246757516521798,
      0.253277684424937,
      0.246504331192007,
      0.235788604706763,
      0.23501402613142,
      0.23243637396517,
      0.219327235896658,
      0.214357692963053,
      0.240374115319583,
      0.279808147516519,
      0.293882623243944,
      0.280539800443102,
      0.267999300975234,
      0.263946013638549,
      0.260601862008861,
      0.26078721810817,
      0.254303696152725,
      0.249427292254237,
      0.261835447173644,
      0.294478550340542,
      0.312712087700461,
      0.296869968192751,
      0.276412397193742,
      0.268956921433533,
      0.26785880155881,
      0.264636464186736,
      0.269905622407635,
      0.266427730643831,
      0.24984114703041,
      0.244731711330839,
      0.272265903724114,
      0.300406002912301,
      0.283404741820919,
      0.269240001418497,
      0.293356281687665,
      0.322709210555125,
      0.323118899341297,
      0.316464750817488,
      0.311922431735978,
      0.292132367405399,
      0.277021093294532,
      0.287966767527952,
      0.293321268247784,
      0.271705346565133,
      0.267855838815322,
      0.298706508833584,
      0.326173199221696,
      0.314829839189509,
      0.297977118317409,
      0.299034229066718,
      0.287211449073451,
      0.265331001261165,
      0.260802338580045,
      0.259113274003239,
      0.25063350373597,
      0.251497457470835,
      0.267883995513627,
      0.283864380140682,
      0.278967384591743,
      0.265638242430471,
      0.268165942472708,
      0.281232570740524,
      0.284158885831568,
      0.269236086410271,
      0.249962561142817,
      0.243889508039897,
      0.254694074331936,
      0.280260286922317,
      0.29514834574962,
      0.27731737759198,
      0.256007011934814,
      0.266732435931828,
      0.304521163155236,
      0.318038723192315,
      0.278115976628118,
      0.239196366353935,
      0.227193779620794,
      0.225046093283292,
      0.235724959665956,
      0.262679857218358,
      0.286230752608774,
      0.273078540876087,
      0.246138801339771,
      0.251532988557181,
      0.277953071807903,
      0.283642678160284,
      0.259153393936872,
      0.239048552135965,
      0.235708540829339,
      0.247497170115122,
      0.273939967718947,
      0.294014022866798,
      0.276860300563213,
      0.24889043265524,
      0.252039842778187,
      0.276271884955251,
      0.293711421217052,
      0.282210132888196,
      0.259781492563269,
      0.25962806452231,
      0.283835876247984,
      0.302977260258599,
      0.295841272117056,
      0.269022958899936,
      0.246220968848013,
      0.253216352435511,
      0.294281082773438,
      0.325997441546471,
      0.301251882976795,
      0.262245533145668,
      0.258064959260183,
      0.280667993301779,
      0.297280370364945,
      0.292554281228772,
      0.281095006283269,
      0.266637352120988,
      0.246478191950571,
      0.243091242826466,
      0.253556159450772,
      0.253191255415631,
      0.248741801856588,
      0.260571444870832,
      0.28261691746986,
      0.283769098634944,
      0.260184061274085,
      0.246211204962336,
      0.257087134235164,
      0.274861722737397,
      0.275922117258665,
      0.259028985274955,
      0.247153398613183,
      0.249255692022823,
      0.263514571332379,
      0.281476234906389,
      0.280051522095709,
      0.258627452171535,
      0.240960899036998,
      0.244148190456162,
      0.259398274032655,
      0.253748825343472,
      0.226753752027152,
      0.216920268964849,
      0.242823692720097,
      0.273444095577652,
      0.27473717230844,
      0.268927838544679,
      0.283861821031792,
      0.307026646972605,
      0.304000337170199,
      0.284524466311061,
      0.274492895163904,
      0.287422210648854,
      0.291562719282104,
      0.27115099215957,
      0.256110769268671,
      0.262584334341727,
      0.28059255457133,
      0.289291295893123,
      0.276088075802962,
      0.247072421074555,
      0.225971345375648,
      0.231365371939422,
      0.24654404180791,
      0.247128445806124,
      0.247933841863262,
      0.264004678978559,
      0.28016334173499,
      0.27131033100571,
      0.249963515897619,
      0.244741911118241,
      0.260549855653781,
      0.277541030357281,
      0.272996748419598,
      0.252932907713758,
      0.243079115081086,
      0.251336523357559,
      0.273218275229631,
      0.289467989286594,
      0.278106719714563,
      0.256160406578905,
      0.259737158883708,
      0.293964612813993,
      0.30818389931458,
      0.27409479727209,
      0.241886220221434,
      0.229199644296585,
      0.2281702598221,
      0.250404466019919,
      0.274466422647241,
      0.256775751907249,
      0.210006345190536,
      0.164944701973882,
      0.122608352237429,
      0.0789055312618614,
      0.0405356299709547,
      0.0162148549347783,
      0.00543001325755438,
      0.0329448935791847,
      0.0897910873782573,
      0.172437301846906,
      0.233982794857637,
      0.255990118594466,
      0.26318890179746,
      0.254484084769689,
      0.252935346283034,
      0.245136492005621,
      0.214905327275176,
      0.190360390127027,
      0.204356146483225,
      0.236729908943138,
      0.246045610986989,
      0.227226442591367,
      0.208523983548668,
      0.203306850459578,
      0.209734943266169,
      0.218473122568575,
      0.211923817872284,
      0.199523276382093,
      0.205615557452104,
      0.237213716090532,
      0.261084907408933,
      0.248318624093623,
      0.220553423119481,
      0.203634897345531,
      0.202443540684964,
      0.212189238603698,
      0.22471044474127,
      0.219951188329446,
      0.201797639037551,
      0.2017323368313,
      0.236260158458198,
      0.266383303202655,
      0.245265273587031,
      0.222678761293959,
      0.241105666242811,
      0.275592155166645,
      0.289113199883194,
      0.28274306307464,
      0.268403166478138,
      0.246769534138129,
      0.236297300856397,
      0.247321377975053,
      0.25003539232264,
      0.225678446104402,
      0.215107772478939,
      0.241589317097504,
      0.276987111536005,
      0.283165477637059,
      0.272745506134255,
      0.267201352083063,
      0.254395683381828,
      0.244280324152398,
      0.248672501623939,
      0.243123781073861,
      0.22326925903275,
      0.215251415961451,
      0.228218498227954,
      0.250972743660087,
      0.257625552850468,
      0.246083726116286,
      0.237420729961844,
      0.237889297959022,
      0.241511947377607,
      0.240196863355841,
      0.22908766391759,
      0.216638225222223,
      0.21617773867619,
      0.237092287481612,
      0.2627785411014,
      0.258982959811999,
      0.236863097560915,
      0.23265553406827,
      0.253077116222273,
      0.258833502941897,
      0.225843110815414,
      0.195501623323448,
      0.181883488527172,
      0.175343638223304,
      0.183752725445266,
      0.210318286744573,
      0.235379786735981,
      0.229024755168172,
      0.209026665933498,
      0.208799537418135,
      0.225560657709568,
      0.231410966961668,
      0.215410903167806,
      0.195505042720476,
      0.185759099191936,
      0.193231694185952,
      0.218549120372493,
      0.242166223347259,
      0.233871894020742,
      0.215189398732577,
      0.217953720669273,
      0.239027572682323,
      0.258112175111065,
      0.251933278882358,
      0.224380034525316,
      0.202358255751134,
      0.207825149259743,
      0.23127513726293,
      0.24622463043336,
      0.233874534270231,
      0.21079815213109,
      0.205391754104576,
      0.23332302893068,
      0.268172206820847,
      0.260224107113533,
      0.223616917271633,
      0.202040515975522,
      0.21031213159005,
      0.231562431454199,
      0.244682777225953,
      0.244455768851234,
      0.232505268415087,
      0.21621692424202,
      0.223781441927244,
      0.244058800753507,
      0.23758053419662,
      0.219703196097616,
      0.221182754429699,
      0.241969306044169,
      0.254805589704292,
      0.241419315937154,
      0.222739097693834,
      0.218338310922122,
      0.227022317625102,
      0.238300311594101,
      0.237956533738646,
      0.226278253338398,
      0.217145471929207,
      0.222996693619068,
      0.244155171842189,
      0.255836709034994,
      0.240574630040193,
      0.218268462943919,
      0.214911663510149,
      0.232233754383872,
      0.2354115628803,
      0.221884041389528,
      0.224930444258706,
      0.261638569356765,
      0.296519135543267,
      0.296444508187654,
      0.287074324090709,
      0.285362310244506,
      0.282962540272899,
      0.271257040378861,
      0.260222237593496,
      0.252702846691055,
      0.255669617921497,
      0.252476770012294,
      0.23075618670973,
      0.215173475126496,
      0.219719124651738,
      0.238331633859915,
      0.252112395518377,
      0.242922144961006,
      0.214844720079211,
      0.202046034094531,
      0.223033464063815,
      0.244754807586661,
      0.233978189424732,
      0.217540903093763,
      0.224598595753867,
      0.244974432906533,
      0.248289627609585,
      0.230462282238242,
      0.217692806587675,
      0.22134349140387,
      0.233267498081631,
      0.240526520630895,
      0.234558978337874,
      0.223182367353501,
      0.219797592582848,
      0.23370290023049,
      0.256386073558233,
      0.258442751058789,
      0.237901481441629,
      0.229108706932697,
      0.254973512314389,
      0.275575985660766,
      0.249690775073989,
      0.224136443798091,
      0.225468588438214,
      0.22543221184832,
      0.225434555753982,
      0.243799671274651,
      0.265462747042723,
      0.254113965600535,
      0.206516361468977,
      0.144311982649114,
      0.0841694998793709,
      0.0367111932437018,
      0.0128690880732225,
      0.00395790125880241,
      0.0259169437081116,
      0.0741351591489647,
      0.148510777989581,
      0.205806554278747,
      0.221433497530434,
      0.225556967101113,
      0.225565065513583,
      0.23161602484185,
      0.230004370591122,
      0.212194811033004,
      0.198602615071757,
      0.206302937197544,
      0.220097443680798,
      0.215297689114365,
      0.198223660592895,
      0.192175257421322,
      0.202174238592323,
      0.215263398524174,
      0.217357647220921,
      0.205408027653527,
      0.190833321485626,
      0.189743078779851,
      0.205829148919257,
      0.220249577465038,
      0.210062209928314,
      0.19228032622845,
      0.189214972295934,
      0.200423648892136,
      0.2121539940369,
      0.214743486577685,
      0.204809406061896,
      0.190583045908067,
      0.192028106067581,
      0.217336186260755,
      0.23673550017243,
      0.216844761390625,
      0.192008772217185,
      0.19726226119825,
      0.225210553904081,
      0.250220883420928,
      0.252492805687701,
      0.240334980477749,
      0.22754313844501,
      0.227292434912024,
      0.234945301438647,
      0.228785134630618,
      0.20110698494726,
      0.18329478389255,
      0.196127600102872,
      0.227358619850405,
      0.247463477198009,
      0.247193582790691,
      0.241087153548952,
      0.228879128406873,
      0.222158965647882,
      0.229036235104299,
      0.227900493904297,
      0.210117216977157,
      0.201433788107262,
      0.214354977565043,
      0.236612661147474,
      0.2411799012268,
      0.226675391557471,
      0.214173881924651,
      0.21601659347457,
      0.228661020165399,
      0.234810680553202,
      0.222474003349924,
      0.205130519643454,
      0.203654198151131,
      0.224448099668751,
      0.247245321471019,
      0.242277541213761,
      0.221126859282436,
      0.213672789293789,
      0.234689714279327,
      0.252046644328581,
      0.226285230736919,
      0.194900518364213,
      0.179429421521321,
      0.171701568439452,
      0.174539296022719,
      0.191368728457043,
      0.21366833873935,
      0.216451296273456,
      0.201583488432314,
      0.198654180789513,
      0.216158546615792,
      0.226858241661801,
      0.210245828437892,
      0.187975733933313,
      0.179039701756914,
      0.182776268513225,
      0.19750763610283,
      0.217717701036239,
      0.219158915041335,
      0.203017105254961,
      0.199084061912136,
      0.217520825864181,
      0.235636358112428,
      0.228584400932508,
      0.207498820297696,
      0.195402780827607,
      0.202506618859586,
      0.222991608405891,
      0.23506916403851,
      0.223879547092099,
      0.204570941402245,
      0.198874634395524,
      0.213578393613071,
      0.229220992554922,
      0.222581812721718,
      0.204874211980666,
      0.196503425379676,
      0.206999940695053,
      0.228343524515397,
      0.23924341793681,
      0.231948320012025,
      0.214710926811417,
      0.200317959408728,
      0.209694523885883,
      0.230735589651634,
      0.223502193320217,
      0.20470950816227,
      0.204749665854255,
      0.225757802442849,
      0.241449656583956,
      0.22884338307573,
      0.207853144904702,
      0.200008289540076,
      0.210084124238437,
      0.226806053115873,
      0.22998565869037,
      0.215619940774032,
      0.202584673144687,
      0.207220129853383,
      0.227552745058849,
      0.239474265791585,
      0.226099611591433,
      0.203876308994885,
      0.19690234091036,
      0.21905212781359,
      0.234872068371337,
      0.232562898793242,
      0.246790674395229,
      0.296787019975618,
      0.334864611588153,
      0.322934830337317,
      0.301011410779074,
      0.287122991142004,
      0.273498162098621,
      0.262053366042913,
      0.260382165703699,
      0.256644324786879,
      0.25582417051114,
      0.250605288418077,
      0.231621332579774,
      0.219982490035508,
      0.223509555897154,
      0.238037999835749,
      0.252954196720168,
      0.246721919666986,
      0.213300801582224,
      0.193063386993299,
      0.212718651407558,
      0.236635757795287,
      0.223663849787852,
      0.204810605825713,
      0.211593457416637,
      0.233412769489345,
      0.238535116284476,
      0.220733416269189,
      0.203003046016508,
      0.201875887979279,
      0.216308624979726,
      0.230366956977606,
      0.226602219003541,
      0.210931282952573,
      0.204322785059592,
      0.21748882804975,
      0.239301337826609,
      0.240941883338263,
      0.22227313744369,
      0.214474422950666,
      0.241327626102149,
      0.263121007852606,
      0.235577977433708,
      0.210850238658293,
      0.221317487799084,
      0.230438683776779,
      0.216762954830708,
      0.215490014781844,
      0.252394696026878,
      0.27930673518419,
      0.246607661108481,
      0.173017299764187,
      0.0979085068936223,
      0.0392040268599234,
      0.0130312256875729,
      0.00289197017276557,
      0.0203797388615491,
      0.0619251378105776,
      0.132337752956107,
      0.189882413706743,
      0.197428011705877,
      0.191454713438534,
      0.188293488865908,
      0.19371807025706,
      0.202116386209213,
      0.21007978682858,
      0.225603705488035,
      0.242829187174331,
      0.238935158886809,
      0.209435329516967,
      0.190685571883222,
      0.200636017379359,
      0.225002517858309,
      0.237175362634639,
      0.227173140196567,
      0.211307414037793,
      0.201801038871507,
      0.204781907139929,
      0.217824446446675,
      0.221447941598497,
      0.200932580768614,
      0.187239036551082,
      0.200690336509431,
      0.225507974922175,
      0.233198014906117,
      0.220511103773931,
      0.207667911134164,
      0.202762965028774,
      0.20249041074415,
      0.211906889364881,
      0.225788320749125,
      0.217964615587039,
      0.197207945648272,
      0.18864656746517,
      0.199262140484575,
      0.214871357855041,
      0.223909054529737,
      0.229803508332021,
      0.234966510486523,
      0.238037154042634,
      0.238496031427898,
      0.231846666819876,
      0.211367701682486,
      0.190506300326974,
      0.184639611968645,
      0.197945382443548,
      0.211985019476552,
      0.221425859816268,
      0.228853666884131,
      0.223606800073824,
      0.210444463115588,
      0.207926506223839,
      0.209642877245105,
      0.201216929111013,
      0.199123829929718,
      0.212253139592326,
      0.228888583573661,
      0.228983926729773,
      0.216937027690347,
      0.210764371524708,
      0.218022439209781,
      0.232528938253725,
      0.235740605187839,
      0.221600672022957,
      0.205035401290957,
      0.203370569443075,
      0.221192649138987,
      0.239288948784909,
      0.233165698729758,
      0.215275337314486,
      0.212822305834154,
      0.238851634375026,
      0.265924943550246,
      0.243923959637685,
      0.203716904255142,
      0.17970084040021,
      0.172291556081943,
      0.179921123778361,
      0.198422804635484,
      0.220998385999644,
      0.223747599332756,
      0.204241095419862,
      0.200617022455973,
      0.225800575133683,
      0.240801356572454,
      0.216404437741488,
      0.188929544933146,
      0.18375245437331,
      0.189907099095947,
      0.202020548508208,
      0.219733849842144,
      0.223976124319487,
      0.207976241316423,
      0.202873848124396,
      0.22018371091874,
      0.234277008530379,
      0.22537504070823,
      0.213485061310426,
      0.215190408573325,
      0.224709486227845,
      0.231239208552902,
      0.224919789515141,
      0.213059438607438,
      0.206077263478777,
      0.210835266374659,
      0.225227618676705,
      0.231929171408017,
      0.221143829863434,
      0.21343032200133,
      0.219137044061591,
      0.230732964254713,
      0.235050825772142,
      0.222843019910973,
      0.207298206015431,
      0.196267991784572,
      0.189027417812027,
      0.198842939941583,
      0.219599526191398,
      0.216442460293109,
      0.202060425902868,
      0.204752900375952,
      0.222296682268329,
      0.231159439700046,
      0.219522252271277,
      0.205030123627781,
      0.200500608294057,
      0.208638370952078,
      0.22130321604945,
      0.222795646966315,
      0.210272569791699,
      0.198189822722199,
      0.203187126985139,
      0.223753633986374,
      0.235049630510517,
      0.221251298581444,
      0.202172711062092,
      0.206271101841131,
      0.238614874174339,
      0.251775757665534,
      0.234337018675227,
      0.239258596590166,
      0.29393688970448,
      0.34357947978335,
      0.332091599172965,
      0.297895748300325,
      0.278697053805014,
      0.271326768019906,
      0.266499481225299,
      0.266242704128999,
      0.260452082813105,
      0.2560195360349,
      0.252205525234243,
      0.238813185108313,
      0.228903244931921,
      0.229616786627052,
      0.239283088666816,
      0.248576057150859,
      0.236489756206109,
      0.199571476040184,
      0.174851682937011,
      0.188234183128009,
      0.21432545769969,
      0.212627091127938,
      0.199890153772834,
      0.204925029768648,
      0.22310421793765,
      0.229370880536432,
      0.216302258301456,
      0.203613800451561,
      0.203910665407615,
      0.215500970695128,
      0.223904042955316,
      0.219832192641015,
      0.209325515389025,
      0.205229505185187,
      0.215726159617431,
      0.230759269029595,
      0.230226972708056,
      0.216448723949175,
      0.211623268457834,
      0.226470944173868,
      0.236900545731636,
      0.221167836069443,
      0.21216054412061,
      0.220960356954705,
      0.237790828185432,
      0.243628959045582,
      0.23425376368459,
      0.229773030251433,
      0.2377569564834,
      0.220065045864233,
      0.162152583581231,
      0.0945522084954386,
      0.0402551936103701,
      0.0149679380582892,
      0.00343423562728456,
      0.0229667715309149,
      0.0664334516002225,
      0.138654011649074,
      0.198781300309712,
      0.21026236389943,
      0.204000058648196,
      0.191309123425982,
      0.187521096211941,
      0.193805745864678,
      0.208098876085174,
      0.238537390565592,
      0.271079702492938,
      0.267494362552357,
      0.225604222760148,
      0.202086837437632,
      0.21576676876714,
      0.242227552303122,
      0.254496121660425,
      0.248805971980366,
      0.236460917100642,
      0.22459065743465,
      0.227629197223092,
      0.248048576532645,
      0.252779390138753,
      0.224198828621571,
      0.205344842482273,
      0.22016926446621,
      0.245827094436844,
      0.254833997200117,
      0.245569718819411,
      0.239504986376304,
      0.241830607695009,
      0.241545029441499,
      0.246030244071045,
      0.261734285666925,
      0.264914723708583,
      0.248999269166485,
      0.238326294421253,
      0.238930404259194,
      0.24057346783287,
      0.246350425134944,
      0.257085219577464,
      0.262853851335013,
      0.258459227764853,
      0.258272249651322,
      0.263394152844235,
      0.256790624652356,
      0.240861309055909,
      0.233656140944391,
      0.237203526870215,
      0.232799293617876,
      0.230326308356551,
      0.236196805988562,
      0.232727091205954,
      0.222484452741413,
      0.224383494106453,
      0.224501892762416,
      0.214793783723216,
      0.218072917900457,
      0.241983735852805,
      0.265534224158869,
      0.259069862695567,
      0.231770187490863,
      0.213425968100696,
      0.219169677756522,
      0.236591954897557,
      0.237323443017302,
      0.219094239120778,
      0.206290352210612,
      0.216275019260621,
      0.247954516019821,
      0.275154916368122,
      0.263153498480294,
      0.231837374195673,
      0.222489493634094,
      0.24760941614868,
      0.273378631255185,
      0.252652108449018,
      0.217942102670869,
      0.197873766522751,
      0.193365130732864,
      0.207898312198648,
      0.236516357286831,
      0.256938379022827,
      0.240605537755405,
      0.20608973006239,
      0.202114890434942,
      0.23387189983819,
      0.25607013405244,
      0.238818020872485,
      0.214008334530552,
      0.209637144153289,
      0.221489925512348,
      0.243740458107979,
      0.259398749403944,
      0.246431166053264,
      0.222691040746323,
      0.225007890397985,
      0.252247745005905,
      0.268226685327431,
      0.254840968093276,
      0.236193717431779,
      0.237287197713745,
      0.248144380605245,
      0.25193940787998,
      0.240784204575192,
      0.229664365025998,
      0.228410001809488,
      0.239479308417307,
      0.260644360419197,
      0.269438619546691,
      0.251425172963672,
      0.232824254296765,
      0.235190420519767,
      0.247865788976977,
      0.250426527769376,
      0.232607419409427,
      0.216701868758703,
      0.211524848291345,
      0.209747908431604,
      0.221850434835998,
      0.238836015431676,
      0.230218473941483,
      0.215644056194328,
      0.225125506426405,
      0.251661719102873,
      0.26015036650132,
      0.236429977194288,
      0.211392518239531,
      0.206900866521602,
      0.222865811467312,
      0.23775922692596,
      0.231046079114954,
      0.214355644137502,
      0.210879033290996,
      0.230968805281022,
      0.262786302893084,
      0.27266304555835,
      0.245666426544043,
      0.213092748670039,
      0.218670159707862,
      0.259132027212326,
      0.271111815648639,
      0.240242533897236,
      0.231998510533325,
      0.270369295571449,
      0.305440186541367,
      0.301471016147877,
      0.288094782698958,
      0.284139530166186,
      0.27528781797238,
      0.261474464520511,
      0.257337612393898,
      0.255610011000983,
      0.253588996093098,
      0.250487989231921,
      0.237928458074308,
      0.227661610542085,
      0.229818261908776,
      0.241616669397913,
      0.244560473103252,
      0.223563007987745,
      0.193017016845283,
      0.183209834321594,
      0.204432364602067,
      0.227261676728523,
      0.221920747159829,
      0.216227352965924,
      0.234519536106151,
      0.259962672872443,
      0.260413977535107,
      0.23484451044863,
      0.212722647043526,
      0.213124741796224,
      0.231620119099599,
      0.239742001646862,
      0.226035532825557,
      0.211488548415816,
      0.215077097091503,
      0.240046020561796,
      0.266473543640775,
      0.263017077052664,
      0.234351975964943,
      0.212226608539765,
      0.216962451007417,
      0.233932744557701,
      0.229972210361974,
      0.221235499297236,
      0.220075384506059,
      0.226860332320896,
      0.242229494371026,
      0.247112385013859,
      0.22323934483262,
      0.188967703805639,
      0.157715476982967,
      0.119611699714881,
      0.076196023719101,
      0.0381930271834491,
      0.0157728160736189,
      0.00728091924998221,
      0.0458223181705179,
      0.120024607824215,
      0.217627856022672,
      0.271145708232816,
      0.281178710217563,
      0.290862512492721,
      0.280754274145777,
      0.273367770359249,
      0.268416312617705,
      0.257814970240603,
      0.259164777315798,
      0.281660496533935,
      0.295571848240766,
      0.27583267371713,
      0.250838829489993,
      0.254897962067773,
      0.278627680473297,
      0.299320081943883,
      0.312855944093343,
      0.31016177294511,
      0.290913445403974,
      0.279945239906352,
      0.298462190500807,
      0.312053640920315,
      0.287258786056516,
      0.256031650975929,
      0.259707331531451,
      0.282549229449777,
      0.299872367127013,
      0.309659317049563,
      0.308866504010634,
      0.292065570006367,
      0.279199617629821,
      0.297747909753211,
      0.327582250221675,
      0.322474553129412,
      0.29309617580867,
      0.282134568034557,
      0.286318240224538,
      0.292436984630502,
      0.307747090129116,
      0.321693242753614,
      0.313807747750082,
      0.300479022328555,
      0.314194344348137,
      0.330762585735321,
      0.313328209628547,
      0.28391613741383,
      0.278247097905779,
      0.28974142143746,
      0.288990341878477,
      0.284422824733258,
      0.289667907033053,
      0.289020926709146,
      0.286473099977707,
      0.303082238608018,
      0.297794462833452,
      0.260015964899814,
      0.241478137305004,
      0.269334028611154,
      0.31029848632181,
      0.308128319420957,
      0.269391735337387,
      0.241741830262043,
      0.248815352353262,
      0.276084818336848,
      0.286281964401972,
      0.267433255531491,
      0.242312859609649,
      0.24196945966607,
      0.279222385951164,
      0.323225039802307,
      0.316158573491758,
      0.270051007252942,
      0.241648850253098,
      0.25970150716373,
      0.296462645597922,
      0.293381284719634,
      0.272638334813542,
      0.255865580774502,
      0.24501791775879,
      0.250994992049167,
      0.274439011974462,
      0.297706869955679,
      0.289717789564106,
      0.25706923053821,
      0.237050615845537,
      0.248890196080142,
      0.27559911696655,
      0.285498780871396,
      0.275525908123583,
      0.26373913752554,
      0.263905030607405,
      0.279018825492883,
      0.296763698111118,
      0.292871780603981,
      0.27786184628531,
      0.272235445030651,
      0.28541459889319,
      0.308431659659325,
      0.311605694312652,
      0.284755701712822,
      0.265450384407041,
      0.272326810426062,
      0.297152685671304,
      0.318233863287108,
      0.315515082352577,
      0.296583948162743,
      0.285348178782684,
      0.296093946888563,
      0.310933520690231,
      0.304779765758645,
      0.279982290113321,
      0.265820591974281,
      0.274253100307257,
      0.294280394974944,
      0.302341678047098,
      0.298585896763627,
      0.29227882360822,
      0.284966919014502,
      0.292143558481346,
      0.300501198901659,
      0.276960014354905,
      0.247030784635696,
      0.251949502196634,
      0.290565864550601,
      0.308702337989484,
      0.277962638635967,
      0.242127890854787,
      0.24117774629261,
      0.273154507585733,
      0.303434287974249,
      0.297628965687526,
      0.26597373828094,
      0.241805354913883,
      0.255198228730986,
      0.3013817818694,
      0.327955240617278,
      0.296741309555887,
      0.245026760553177,
      0.227550371484825,
      0.250238466069778,
      0.255164861501216,
      0.224686557731073,
      0.218822845696553,
      0.256340508332039,
      0.290611614922089,
      0.29214062427755,
      0.292707541429061,
      0.295338360684193,
      0.279838827192064,
      0.262117636225871,
      0.267314579265034,
      0.279710291601369,
      0.292160916922887,
      0.302416866406645,
      0.289657029873265,
      0.267763351268555,
      0.261463012367056,
      0.274091460823852,
      0.291284265592768,
      0.291740313316815,
      0.270350727316631,
      0.256260843254768,
      0.281508517167807,
      0.307131502112428,
      0.277697042297759,
      0.244383963906543,
      0.262331062820681,
      0.306493611443915,
      0.314047202149689,
      0.274270898069989,
      0.241059575635567,
      0.248097362216668,
      0.281751098152866,
      0.295791151815734,
      0.274676085157108,
      0.246962504738619,
      0.240295054315621,
      0.269939136488427,
      0.31480046283111,
      0.322037615356176,
      0.283376498801751,
      0.24952961824312,
      0.25676390270437,
      0.277602650765151,
      0.255830437175693,
      0.220416307191862,
      0.204904057200639,
      0.19342023226288,
      0.188028310784379,
      0.201571911523547,
      0.211761888021853,
      0.192426317215093,
      0.150643741017309,
      0.108751410422583,
      0.0694045034747965,
      0.0347697692009026,
      0.0139782682369514,
      0.00973133900052521,
      0.0666432756791056,
      0.180465668318038,
      0.323980767865079,
      0.385732737748104,
      0.373710275999524,
      0.367667248999289,
      0.34511966531206,
      0.339234778025464,
      0.339916530598134,
      0.321188145103373,
      0.302019565365848,
      0.314090655142454,
      0.343789747358031,
      0.345551814524414,
      0.320964341620511,
      0.318335089648271,
      0.342265019554064,
      0.361593627151358,
      0.372382131582116,
      0.368335260727765,
      0.344438367223575,
      0.320443241813324,
      0.329615017681717,
      0.356032364090446,
      0.349574742531054,
      0.320031535833901,
      0.319323902641392,
      0.344576087408061,
      0.361278130476339,
      0.372292834908559,
      0.364363129981109,
      0.323887586348517,
      0.290931327569524,
      0.307047797516148,
      0.341207998405814,
      0.332577253912489,
      0.307448150663358,
      0.30956813032532,
      0.326697202882286,
      0.339298289030761,
      0.356192346956239,
      0.363960781491612,
      0.340865684914968,
      0.325877458293859,
      0.348416691192077,
      0.360388991594451,
      0.327189085367448,
      0.296685816188317,
      0.304332487629829,
      0.329317482965292,
      0.335723827163498,
      0.333707424581822,
      0.346494768332738,
      0.351612013993138,
      0.344664802725972,
      0.34507551141055,
      0.328251421127402,
      0.29458632317807,
      0.294622659386888,
      0.331219659007864,
      0.358706438274295,
      0.338235821043678,
      0.303590844312247,
      0.302911663772243,
      0.33682552949702,
      0.359380739284714,
      0.34205782959283,
      0.308103796837731,
      0.287333167713923,
      0.299405161393694,
      0.341929253924871,
      0.363933602591727,
      0.330298944704098,
      0.28938506829319,
      0.281694749254065,
      0.317546572380604,
      0.352902372474037,
      0.337751349247684,
      0.322531943745976,
      0.321957886369091,
      0.315475511276283,
      0.311512314048287,
      0.320356745127968,
      0.33775035452551,
      0.335950127980859,
      0.312906246323451,
      0.299376261241638,
      0.309049693329631,
      0.326391172479939,
      0.333729621180628,
      0.33245100834441,
      0.325407580705609,
      0.320117913674866,
      0.327839068776981,
      0.344027758176594,
      0.34571883803551,
      0.332433432560239,
      0.316518790443843,
      0.31142794733884,
      0.328440759563588,
      0.334674948812956,
      0.313370437666373,
      0.304779720473397,
      0.324382840877306,
      0.356789850664212,
      0.380993928254495,
      0.368158314054678,
      0.328055254387147,
      0.308796353302138,
      0.328568848067967,
      0.350519198826965,
      0.337060610062064,
      0.308546782139055,
      0.301877978085926,
      0.320917753965171,
      0.350499989700153,
      0.368795811109208,
      0.368205457012384,
      0.356516701941145,
      0.346663598109885,
      0.354036809406858,
      0.353831109722526,
      0.322614547623803,
      0.297561504316726,
      0.316754495545714,
      0.356231526939532,
      0.357438545932732,
      0.31593083262055,
      0.289796334028207,
      0.313178022293826,
      0.359368623685083,
      0.369866061801389,
      0.334827170204731,
      0.298470513250604,
      0.287350237231061,
      0.313295581084554,
      0.352130873778881,
      0.349899104630319,
      0.308180998751173,
      0.275198319513155,
      0.278261354943353,
      0.296825344803739,
      0.269994134918779,
      0.217874322423287,
      0.213542297346885,
      0.264642442103726,
      0.311047955197648,
      0.304004753226218,
      0.282229002539994,
      0.278949027415796,
      0.282775787614845,
      0.288187555155925,
      0.305835158098663,
      0.328985195438987,
      0.356787407881986,
      0.378955656415058,
      0.368017009096704,
      0.344698575127937,
      0.341378526556428,
      0.358366758305776,
      0.382232433857603,
      0.393442927328809,
      0.366467006286836,
      0.326354196842442,
      0.329264608936324,
      0.349506238962505,
      0.319843176425374,
      0.293810998615024,
      0.319228934588659,
      0.353316152188806,
      0.33856775255055,
      0.29652735601931,
      0.286668434995116,
      0.325827363151972,
      0.367592580982895,
      0.357539239153023,
      0.315802491740343,
      0.290544472977729,
      0.299101772678249,
      0.340148978960638,
      0.370189240518288,
      0.34653556123129,
      0.300091273594508,
      0.277043553404179,
      0.290355286070461,
      0.294349977553867,
      0.243373839706566,
      0.193586973917522,
      0.186400219398211,
      0.195021245910772,
      0.2019915396936,
      0.218269451439137,
      0.235607186607356,
      0.220477573109192,
      0.16626200951479,
      0.108986848263112,
      0.064346827150308,
      0.0311283965170072,
      0.0104588227737683,
      0.00567908061340147,
      0.0450004697879187,
      0.134948737421856,
      0.267456165991667,
      0.355943648013219,
      0.350470000536178,
      0.315885505926405,
      0.279969302446268,
      0.276982369039367,
      0.281483360330898,
      0.265623593904353,
      0.253627754651298,
      0.269666747590326,
      0.301654467108716,
      0.3108671497539,
      0.293781746604813,
      0.286194352292771,
      0.298180723010573,
      0.304702809112302,
      0.302494967372808,
      0.295595973923697,
      0.283197145709856,
      0.275309908481541,
      0.290243204616261,
      0.313388806549622,
      0.30850592127546,
      0.289798359931587,
      0.288690219367025,
      0.304047435163173,
      0.307806501620502,
      0.303783212947078,
      0.289611374893965,
      0.262353294746216,
      0.247820869060587,
      0.267604320866496,
      0.291858664831718,
      0.27947338936832,
      0.27185094528383,
      0.295518717821914,
      0.320962806251261,
      0.323944507362847,
      0.326322360389158,
      0.326369481927634,
      0.304654663436581,
      0.29231125186129,
      0.30521801812507,
      0.302929511421479,
      0.274731674967432,
      0.270304345002309,
      0.302319206252411,
      0.332351633265255,
      0.327177144899344,
      0.319037798466612,
      0.331653157424218,
      0.327266394990613,
      0.302571292990864,
      0.284296032742192,
      0.271208740174064,
      0.266166484055399,
      0.296758202243539,
      0.335954748806967,
      0.335558610386816,
      0.288715583087004,
      0.257235464569172,
      0.273965795935215,
      0.317237788981929,
      0.326978970957581,
      0.285490791965073,
      0.250696185637894,
      0.255429378441088,
      0.292654295951776,
      0.337643295444663,
      0.339338110291488,
      0.289266614187493,
      0.257230608482365,
      0.272050899698502,
      0.319532733232389,
      0.336632238104529,
      0.289968405958521,
      0.254568293728504,
      0.256555525568638,
      0.264540239793923,
      0.273658677358762,
      0.28942439827457,
      0.308997492968722,
      0.31020050025835,
      0.296391780550984,
      0.301643935769489,
      0.318349254563117,
      0.310174737449649,
      0.280168632399563,
      0.270146934234817,
      0.277076409713444,
      0.284733242242442,
      0.298707350984286,
      0.313160765930914,
      0.307620309235269,
      0.292140285039325,
      0.288842232454666,
      0.294896415339839,
      0.304229083306785,
      0.293140734715446,
      0.272747720975198,
      0.272405313290081,
      0.293537043732704,
      0.312559518556704,
      0.314381059474448,
      0.291788109174086,
      0.263676667727963,
      0.268647198714137,
      0.309616767360175,
      0.337832122649411,
      0.311328763408018,
      0.27719502849059,
      0.274522965226239,
      0.294878008146704,
      0.314568372725391,
      0.320473437827268,
      0.315328950821665,
      0.30910937953827,
      0.308988850260003,
      0.323794117101249,
      0.325904892005885,
      0.297699595808298,
      0.284271807626395,
      0.315220466182051,
      0.34353090855994,
      0.314460521653534,
      0.262306422750485,
      0.250702918714154,
      0.286100711847386,
      0.32883303447822,
      0.320822091991858,
      0.275098820334808,
      0.254987352489178,
      0.27449559691131,
      0.316238058002994,
      0.341552679776861,
      0.313187841879034,
      0.262928008037848,
      0.245779506929146,
      0.283911935280107,
      0.330841998647016,
      0.295391321548219,
      0.219191189242148,
      0.205209530811225,
      0.258898417489904,
      0.309722091131049,
      0.301391982628511,
      0.270939712250334,
      0.26493661384686,
      0.276672318302594,
      0.278881981882378,
      0.278037267888684,
      0.288033822709916,
      0.309450557874471,
      0.31910700368535,
      0.303479789988661,
      0.289727540435707,
      0.294282159653137,
      0.306935407854764,
      0.314719779020957,
      0.311795246964963,
      0.291495426159507,
      0.267717881087978,
      0.267315528580555,
      0.279197319909866,
      0.272936754829217,
      0.284556815385474,
      0.32176377168671,
      0.335505528825006,
      0.296680484232689,
      0.255646580489671,
      0.258531170814522,
      0.302344325753742,
      0.335683180253077,
      0.307251975692587,
      0.259981203972133,
      0.252473096899155,
      0.284002142072763,
      0.329658585724285,
      0.34164803314858,
      0.299420561210084,
      0.255930626197996,
      0.253106907161742,
      0.28357942736745,
      0.286942566400431,
      0.233731429945279,
      0.190959012520721,
      0.19228911836578,
      0.21906797617678,
      0.258915402237815,
      0.281806194179954,
      0.269179352409962,
      0.232254313754424,
      0.18064167199988,
      0.122444800004533,
      0.0681715524643439,
      0.03032952353764,
      0.00930853922470066,
      0.00295553179769548,
      0.0242522737137492,
      0.0748326913281713,
      0.15952221854662,
      0.23038882470557,
      0.236167720990733,
      0.215426393830593,
      0.192874651359409,
      0.183921657885722,
      0.180670430976112,
      0.177105151626144,
      0.182646007143934,
      0.2049124468042,
      0.234126759456851,
      0.241547325553934,
      0.226996201628257,
      0.213939306121661,
      0.21644269335649,
      0.224399966090512,
      0.22898218464583,
      0.225469487507077,
      0.217714866407731,
      0.219271074395203,
      0.236967044242581,
      0.253746087387494,
      0.243830009218869,
      0.223968307010748,
      0.212762810367812,
      0.218838126551517,
      0.229776404492008,
      0.237609587409981,
      0.230874663494065,
      0.212633295924011,
      0.209201961315953,
      0.236409193044826,
      0.263199937457193,
      0.246477693301901,
      0.229129924137392,
      0.247737071598579,
      0.278074569395279,
      0.288976299458535,
      0.291925682812656,
      0.287804897555218,
      0.264219282472447,
      0.243989747258989,
      0.247821633691936,
      0.246923014581678,
      0.227438083545609,
      0.221424196333276,
      0.247644735678246,
      0.281573732260972,
      0.289930828495727,
      0.291255415629142,
      0.295890899827496,
      0.271693224554834,
      0.23651030694203,
      0.231115754557677,
      0.2316122220531,
      0.22270618542489,
      0.225243188318225,
      0.244242782992785,
      0.25718868237584,
      0.245231564398162,
      0.226216727507279,
      0.227132018118967,
      0.246196309591961,
      0.252757981129312,
      0.232402522492399,
      0.209797053520197,
      0.204693634188608,
      0.218049396822962,
      0.246665696412255,
      0.266887239252372,
      0.249763120692183,
      0.22445763867243,
      0.227808550924756,
      0.256831265490971,
      0.26212120116571,
      0.222253869275226,
      0.190555235375032,
      0.18445619066332,
      0.184366437842287,
      0.18914230033761,
      0.206728397622675,
      0.230236311254001,
      0.239326840058307,
      0.237881459718658,
      0.24726477640475,
      0.257553409236802,
      0.243479246708523,
      0.213452020065291,
      0.198419117086933,
      0.196361476275547,
      0.199843908920532,
      0.217316941530289,
      0.239784521618839,
      0.241185920880562,
      0.233302238369905,
      0.239137332742373,
      0.250218518319688,
      0.253811442628172,
      0.240425701124896,
      0.224077135898961,
      0.218882793744567,
      0.232026326952034,
      0.245368924615383,
      0.245443634270592,
      0.230451651357446,
      0.213958027873222,
      0.215585316505759,
      0.244834535985772,
      0.272065590863885,
      0.255927351564918,
      0.226176127605211,
      0.217315542184076,
      0.230973448358613,
      0.245184710493594,
      0.247822099578736,
      0.240788268144722,
      0.229592460243068,
      0.217965767163226,
      0.230101410274074,
      0.2483636152926,
      0.238552806005166,
      0.22514664840801,
      0.236692947123171,
      0.25690219123097,
      0.251418091019337,
      0.22418517498303,
      0.208529570182985,
      0.218208503266762,
      0.239198554306459,
      0.243830747851956,
      0.226753590998586,
      0.211968816688409,
      0.21355652006374,
      0.230906558535068,
      0.253502361858011,
      0.254106569577713,
      0.226953124943803,
      0.2077340344213,
      0.232766373170285,
      0.274138825272303,
      0.255231277532118,
      0.199206493904418,
      0.189221493771392,
      0.24276785218094,
      0.296767752020972,
      0.291535752571649,
      0.263158887360673,
      0.252501142012411,
      0.255557726263939,
      0.250444083700859,
      0.243399371918635,
      0.239300008673899,
      0.243419335040964,
      0.242970970824898,
      0.226654606937105,
      0.212372288062745,
      0.214599284960833,
      0.227598105172178,
      0.237256973577015,
      0.230040739490743,
      0.207843337447136,
      0.192133744527425,
      0.201065695030061,
      0.217212489776575,
      0.217455366447614,
      0.218754597002383,
      0.234687673963828,
      0.248387692356294,
      0.237914676515154,
      0.216215736700518,
      0.211039331972815,
      0.230110333209274,
      0.251090093154497,
      0.244874057357239,
      0.22120416074379,
      0.209312523374061,
      0.21712448600638,
      0.240150986590555,
      0.261886309880747,
      0.254184625627744,
      0.226751073744913,
      0.22626319914197,
      0.26630286239187,
      0.281063075810324,
      0.229689392183837,
      0.189362362523908,
      0.190443541397478,
      0.206016742090392,
      0.224061331042443,
      0.232029111144713,
      0.219420803577995,
      0.201629231289194,
      0.17626612527366,
      0.131399675021546,
      0.074375268526857,
      0.0291575454606317,
      0.00952625151384527,
      0.0019349796432466,
      0.0174082797298521,
      0.0545169693253967,
      0.117148675917267,
      0.170518790529577,
      0.186552100433749,
      0.190607741007119,
      0.186406765494958,
      0.181371019278215,
      0.175314264447365,
      0.169135760958147,
      0.173597809613177,
      0.192934622221314,
      0.2117327195147,
      0.20994162287354,
      0.19770702846181,
      0.189304912632241,
      0.190192969114211,
      0.195975476304407,
      0.202935537641215,
      0.200564685397709,
      0.188891731762114,
      0.185414149647581,
      0.202105677707286,
      0.219080921435386,
      0.209973750080803,
      0.193193960339377,
      0.185470160745553,
      0.188188672545694,
      0.194778236444757,
      0.204469584566505,
      0.206719039845543,
      0.194692653655459,
      0.18902074507203,
      0.212897501685892,
      0.244028329275676,
      0.236144011423438,
      0.210388678234372,
      0.209047700881636,
      0.228337662091335,
      0.245151796848022,
      0.249353949506761,
      0.242660136452578,
      0.224497107352679,
      0.213590848772003,
      0.227229497698329,
      0.237729716437346,
      0.221353050706903,
      0.200448674865784,
      0.205921718301482,
      0.228362524355953,
      0.243794724622489,
      0.248872336471994,
      0.252741398560294,
      0.23887051670154,
      0.226106625977269,
      0.235921908098788,
      0.228727715040244,
      0.195992368026265,
      0.181035622564998,
      0.206266262971466,
      0.236702028902643,
      0.234628988755111,
      0.208281175476236,
      0.194543690214525,
      0.20804870889411,
      0.23033925165471,
      0.228674288045697,
      0.201249101769116,
      0.179221225950932,
      0.185383322485361,
      0.220649014289007,
      0.250116747275914,
      0.235724360677106,
      0.203261531205327,
      0.193838956238066,
      0.218863023492403,
      0.237107846758579,
      0.207633058428645,
      0.177936541213155,
      0.169190925607862,
      0.164161824794902,
      0.162019769559817,
      0.174173444152246,
      0.195295382060923,
      0.207515672222409,
      0.205910201226831,
      0.202169192959511,
      0.20522018770266,
      0.206694054146757,
      0.197317032140471,
      0.182708108574183,
      0.171429878661412,
      0.168252279090881,
      0.178888794421348,
      0.196739676161615,
      0.202774588080262,
      0.197023244912651,
      0.197491055778805,
      0.207943761705225,
      0.214876150263825,
      0.206407688800816,
      0.192281414516591,
      0.185065255251785,
      0.192876101922204,
      0.211991653739935,
      0.224706357896292,
      0.217281302319797,
      0.197402474438358,
      0.184134774497417,
      0.191968510646769,
      0.207926540350636,
      0.207228143449026,
      0.19512847780651,
      0.187293097458819,
      0.195858416400084,
      0.21639711425306,
      0.231122662098607,
      0.226530131166744,
      0.204655808331929,
      0.181125830590387,
      0.187505296153657,
      0.209057441249556,
      0.199020261489995,
      0.180502374632836,
      0.191767314703027,
      0.226380952903926,
      0.23843031062438,
      0.209448440312197,
      0.17930897366638,
      0.178976082634703,
      0.205519373974599,
      0.229329254357288,
      0.220447663095752,
      0.192274290345356,
      0.178025014978345,
      0.194724893429247,
      0.229477445557054,
      0.241802178896884,
      0.215390832596515,
      0.183974045668772,
      0.182250965421074,
      0.211534354441013,
      0.217787824993979,
      0.189143514658554,
      0.187811418355082,
      0.248933552821813,
      0.309757547789885,
      0.297649033861712,
      0.267604761361893,
      0.261385147586749,
      0.260636731785532,
      0.250789125482951,
      0.250998605430476,
      0.250616811254746,
      0.2454406259498,
      0.235176800867937,
      0.218641183004226,
      0.205747615982314,
      0.204907519127919,
      0.21528963371702,
      0.226169972396858,
      0.217651640115867,
      0.190062303406655,
      0.177275009948978,
      0.199725727911631,
      0.218141226576269,
      0.198635771424292,
      0.18128653717178,
      0.20022314453916,
      0.229222443742155,
      0.22592640761233,
      0.194801367354832,
      0.175229730956647,
      0.187650833432192,
      0.219144101865164,
      0.233119914499655,
      0.211885136317227,
      0.185023340795094,
      0.181914816873646,
      0.20885541017865,
      0.241143425051551,
      0.238889230982066,
      0.209676228046822,
      0.201810346892266,
      0.236693514943275,
      0.261682743504126,
      0.22507199064829,
      0.200237485303483,
      0.213831045493439,
      0.215240553503841,
      0.183296166656151,
      0.161315298035903,
      0.170501338029767,
      0.181694253811274,
      0.164740897025132,
      0.121495071028716,
      0.0694896947041397,
      0.0279591580319841,
      0.0103044958846279,
      0.00119012452994121,
      0.0144970774352406,
      0.0491915623525916,
      0.109605808611233,
      0.166626144775599,
      0.192905952119863,
      0.199958860689721,
      0.192558869271083,
      0.194938899039327,
      0.199590727334675,
      0.193586267939437,
      0.191129510367844,
      0.201697490879812,
      0.202871158727776,
      0.18491952267309,
      0.173455478288182,
      0.178711788839128,
      0.189312148137834,
      0.193139722158635,
      0.194038388226243,
      0.190463618086904,
      0.180955887507308,
      0.177326457060409,
      0.188858650625252,
      0.19584713730961,
      0.181879897794553,
      0.171376629944331,
      0.177609294077471,
      0.188151888554672,
      0.190551160085893,
      0.194699920110235,
      0.200561748761894,
      0.193158339565043,
      0.183055253457976,
      0.198631308980973,
      0.226776864515321,
      0.223084909464567,
      0.199344432315617,
      0.189750150810733,
      0.19527147565343,
      0.201929794922237,
      0.20525945500335,
      0.207200390873344,
      0.203400178635172,
      0.201821655278452,
      0.217332818215416,
      0.230371036934601,
      0.21626296226181,
      0.193197328955987,
      0.187051884886426,
      0.191570968029445,
      0.193213336750546,
      0.196475396180455,
      0.210201189752993,
      0.213851479145353,
      0.205268688603173,
      0.202548048849818,
      0.193990033332992,
      0.174286913452807,
      0.172192134097715,
      0.200843045709181,
      0.226212938714939,
      0.217488289533564,
      0.192556013005607,
      0.1818115099785,
      0.192577270022591,
      0.20982714296607,
      0.208791477032915,
      0.186388528861466,
      0.168061142962027,
      0.175443938086508,
      0.208325378116491,
      0.231766413452801,
      0.215290515623784,
      0.187770090865438,
      0.186032462979805,
      0.222247142706928,
      0.251830166376327,
      0.222354616373232,
      0.183617326982708,
      0.166988552316112,
      0.158662738485523,
      0.156017341151506,
      0.165306368070662,
      0.181047894257274,
      0.190289937478745,
      0.185650293784592,
      0.18260497194117,
      0.194925169399916,
      0.208197013859325,
      0.199414886848622,
      0.178978651482913,
      0.166993757770405,
      0.164538425091233,
      0.171207859122778,
      0.184386246307815,
      0.191273795390626,
      0.184702520886225,
      0.182808491276118,
      0.193840386329164,
      0.204253925998469,
      0.200037089380152,
      0.18921819122102,
      0.183212257414164,
      0.187127524355403,
      0.200046898602006,
      0.208320193875999,
      0.205415400009132,
      0.194714838096459,
      0.186234542479506,
      0.187199478435161,
      0.193405478579827,
      0.194726788662932,
      0.190104470632213,
      0.186018869268987,
      0.192396177044204,
      0.206845269511786,
      0.212330846636616,
      0.205127284294331,
      0.188185877049237,
      0.17080733810073,
      0.17172372423659,
      0.184818089417992,
      0.177641262014209,
      0.167871533996819,
      0.183212488789198,
      0.21405669238408,
      0.219731680007791,
      0.192089552532803,
      0.168383954551394,
      0.169265496008855,
      0.190532527501808,
      0.209374853822488,
      0.201412438043038,
      0.177959591023039,
      0.168290127170199,
      0.186523322038361,
      0.218792925315011,
      0.226379576371848,
      0.200609042506334,
      0.17243017109926,
      0.17079671789863,
      0.205112538904664,
      0.224236664714935,
      0.198653929411194,
      0.188925549846851,
      0.237010721647199,
      0.284622140612041,
      0.270624572671132,
      0.251194765374968,
      0.260222283979588,
      0.270463328971711,
      0.266543148500775,
      0.265781944622115,
      0.263756705134821,
      0.25740576216071,
      0.244377553262828,
      0.224290279280979,
      0.20973807403068,
      0.206899723568825,
      0.214454422482677,
      0.225085738984943,
      0.218607697230608,
      0.187977973717897,
      0.165111552921603,
      0.175197039045674,
      0.191107501339269,
      0.180127487106364,
      0.171135186680305,
      0.192104551732599,
      0.22037106896599,
      0.216292749820708,
      0.187226917923261,
      0.168350834227061,
      0.175539166690955,
      0.200049858905749,
      0.212055900322531,
      0.194337749999614,
      0.171476642298206,
      0.170887472845189,
      0.198223078435549,
      0.225638242038521,
      0.218530673395152,
      0.191583041670144,
      0.186365764995221,
      0.220654629897604,
      0.252035221676271,
      0.229087590088094,
      0.206604121211107,
      0.215426270038406,
      0.219586877010308,
      0.198988984078529,
      0.177761757149297,
      0.17342152119316,
      0.166573946579325,
      0.140579431226934,
      0.0983665443504101,
      0.0554637664353859,
      0.0242275312830975,
      0.00764412597272525,
      0.0012977222150604,
      0.0160377562593713,
      0.0545643523154603,
      0.119063184452044,
      0.176638523159571,
      0.199520487824252,
      0.20234382687991,
      0.190811973424677,
      0.198558960897385,
      0.215333361245758,
      0.214464297514247,
      0.207834365036737,
      0.212202793630315,
      0.207732297733834,
      0.184520301401829,
      0.171877759071068,
      0.182683903379481,
      0.198964347813615,
      0.202651589780817,
      0.198436254586321,
      0.190926094629583,
      0.182057314203013,
      0.183177023761613,
      0.198412783132248,
      0.202529893621007,
      0.183785991128716,
      0.172844333718968,
      0.184121359990912,
      0.199293896513464,
      0.200108756768493,
      0.19957097862651,
      0.203677341375863,
      0.198460272799317,
      0.191334370002774,
      0.206541694148576,
      0.231841935072207,
      0.225244236518845,
      0.205169959386392,
      0.198726824933571,
      0.202417272790678,
      0.20350170993301,
      0.208306612304857,
      0.215827354602231,
      0.215982561612904,
      0.211014446992616,
      0.215402163448753,
      0.22201527112101,
      0.211768959544286,
      0.199522176865941,
      0.197898149621134,
      0.199421063603393,
      0.190532602364307,
      0.189025880701088,
      0.20051255705598,
      0.206659671496867,
      0.19944353327068,
      0.191756850417857,
      0.182021803521926,
      0.171716784697247,
      0.176948412209763,
      0.198048978782662,
      0.215336997103167,
      0.207451996024112,
      0.188290585822109,
      0.182519066940117,
      0.194264612100297,
      0.20745955536534,
      0.202719983012244,
      0.182546136675166,
      0.17014086552459,
      0.180005641379175,
      0.204883413833193,
      0.220629064822292,
      0.20761823623563,
      0.187209155714541,
      0.190378124524562,
      0.22743356769336,
      0.255522474754325,
      0.229844710219401,
      0.194476410772998,
      0.179643533225259,
      0.174839737152876,
      0.172068493742576,
      0.174616757393276,
      0.18323615937457,
      0.186138631677211,
      0.176647826762953,
      0.176205774536328,
      0.191883780948948,
      0.204930779414936,
      0.199216050805508,
      0.188816640940173,
      0.184533293404253,
      0.181197092420118,
      0.180133613333684,
      0.18580972309542,
      0.189860734176346,
      0.185787220981062,
      0.186825638038009,
      0.196966496752428,
      0.209428125201287,
      0.211774608063925,
      0.203216324182911,
      0.196841670681564,
      0.199300773634398,
      0.205821781305542,
      0.203204182145123,
      0.198258440519792,
      0.198180258064075,
      0.204228320835615,
      0.213984590890178,
      0.222458033087084,
      0.217741563341751,
      0.204407133845124,
      0.199213652311962,
      0.204254588720341,
      0.20703499121656,
      0.196745605639369,
      0.188816026753409,
      0.185667413438389,
      0.183732357254835,
      0.187907362529601,
      0.19250235550014,
      0.180881624188239,
      0.172790178889866,
      0.185559144792344,
      0.20908239502775,
      0.213712929063238,
      0.191916034877024,
      0.174320559692336,
      0.176681150995252,
      0.191157142687004,
      0.199119088254649,
      0.189628929723185,
      0.173769589233005,
      0.170676650779386,
      0.186220280751881,
      0.210109470221197,
      0.217708509703674,
      0.199300590229739,
      0.17451641705197,
      0.175693487671553,
      0.209163174853548,
      0.22489834979432,
      0.201393909204172,
      0.190226930554666,
      0.219587584448898,
      0.248271173804924,
      0.241741371081616,
      0.236906917806076,
      0.255607435673934,
      0.278868335034129,
      0.283294439096824,
      0.273507085683999,
      0.261241575799927,
      0.252585402242642,
      0.241646428681172,
      0.221311977492173,
      0.204937943105862,
      0.202006003438467,
      0.210307698419493,
      0.217231609565751,
      0.206471671251735,
      0.180908890365633,
      0.165741177512268,
      0.1758358794487,
      0.188139500134739,
      0.180756625881453,
      0.176451227524618,
      0.192512138240608,
      0.212561904763813,
      0.210512931788532,
      0.18960184486866,
      0.175796854189027,
      0.181098981027841,
      0.196260081928687,
      0.200762151181322,
      0.187509222672615,
      0.173839366197319,
      0.177569743412205,
      0.199022928795571,
      0.21845358371931,
      0.212598375631963,
      0.190747130354062,
      0.174695627050344,
      0.187200129148435,
      0.214206144334783,
      0.216742780279691,
      0.204307265459265,
      0.199196556843517,
      0.207541111679493,
      0.229600490894155,
      0.241306195630121,
      0.223390375193332,
      0.187845289569734,
      0.146224068600962,
      0.097584168675803,
      0.0519954952611861,
      0.0224794976279344,
      0.00655303791780795,
      0.00160158047961132,
      0.0186114351804954,
      0.0618894788270041,
      0.131660051707517,
      0.186046405303959,
      0.194703069424056,
      0.190621131266003,
      0.180182533604725,
      0.183203433799632,
      0.195557327300993,
      0.201281372383237,
      0.21145578562808,
      0.234801428344572,
      0.245791104317911,
      0.223511916192467,
      0.202095823004354,
      0.207801101435803,
      0.223882642715386,
      0.232396991753779,
      0.231939438037689,
      0.219152994438482,
      0.198716486798628,
      0.197136057144498,
      0.22354494031479,
      0.239098837635339,
      0.221741828858779,
      0.204653223772193,
      0.211486105590311,
      0.226463885263643,
      0.23425067912007,
      0.237971539831385,
      0.232528269384616,
      0.216193856346542,
      0.215388410150207,
      0.246516475431769,
      0.276037730311146,
      0.259127035776314,
      0.231090874618708,
      0.224102094677946,
      0.22719214183529,
      0.230597349343505,
      0.243863283852526,
      0.259530004392225,
      0.259489438265922,
      0.255660169533941,
      0.261716198129172,
      0.264138571561151,
      0.242285418105634,
      0.221834947669858,
      0.21880260318644,
      0.222547310359749,
      0.215111774312947,
      0.20873884285413,
      0.209714402146125,
      0.212467633466741,
      0.219357616318312,
      0.228515349636308,
      0.217565358314268,
      0.193894345995028,
      0.191521090241859,
      0.215618280484324,
      0.237584968628459,
      0.226362155008113,
      0.201689153991018,
      0.196813558692486,
      0.219390015218147,
      0.244168733830782,
      0.237139555328345,
      0.205588272509549,
      0.184227157711088,
      0.192765152703181,
      0.225211761528646,
      0.250840598951679,
      0.235144864000071,
      0.20331252915946,
      0.196606878221343,
      0.225056232989453,
      0.253563771978548,
      0.240811647640425,
      0.214370008217281,
      0.202098089521959,
      0.201766588428413,
      0.201919792019353,
      0.203863582767558,
      0.21685538710718,
      0.222378731106474,
      0.202807354863499,
      0.18646101411482,
      0.193752184736948,
      0.212612657255167,
      0.219764700131298,
      0.218867956034289,
      0.219411228262225,
      0.215802646787517,
      0.212509929851718,
      0.221880462695645,
      0.226395082358871,
      0.213688192056196,
      0.206151891336324,
      0.221620902439021,
      0.250323482910428,
      0.257097354573667,
      0.231288284582878,
      0.211281620357513,
      0.211428870412649,
      0.222795554175462,
      0.230117386789561,
      0.224841918330323,
      0.212312929856632,
      0.212381536095797,
      0.238512379280954,
      0.267491615925603,
      0.260464059956296,
      0.226764914321373,
      0.208465265404782,
      0.210279426382255,
      0.216297754876166,
      0.2119915667881,
      0.209529453048337,
      0.215477353878509,
      0.225191207057109,
      0.239706055035446,
      0.242016552571438,
      0.217661374077401,
      0.192855887827102,
      0.200148299738951,
      0.228047716584863,
      0.234351060393599,
      0.20736479278214,
      0.185903880964713,
      0.19295014805717,
      0.219819542194177,
      0.236923950804521,
      0.225003891346497,
      0.19887476658622,
      0.185512389199616,
      0.201101801117772,
      0.234509012480866,
      0.244537777759295,
      0.216956868699383,
      0.186873981028836,
      0.18536438005388,
      0.210714973145402,
      0.21934918618385,
      0.200724330471417,
      0.194299915453752,
      0.212355257604527,
      0.230520698827538,
      0.233220957650027,
      0.242362018012337,
      0.258200260365828,
      0.268431645152742,
      0.263828996906806,
      0.253337944038751,
      0.245415772405066,
      0.247520286283285,
      0.246260008780442,
      0.226860896581212,
      0.207276281442256,
      0.204284505341028,
      0.215219919723946,
      0.224647354506588,
      0.215507971008303,
      0.195221515352825,
      0.188880136880912,
      0.20659776159507,
      0.218073460872625,
      0.199738792573164,
      0.186121068238053,
      0.205044169061684,
      0.234588478112976,
      0.234026395048014,
      0.205725327165262,
      0.188722720752817,
      0.201325527122372,
      0.226673407125971,
      0.230080203345897,
      0.208269333653163,
      0.188286647120199,
      0.188280425178932,
      0.212437059504074,
      0.240463944659745,
      0.236688722648221,
      0.206233142518462,
      0.183810742249744,
      0.190557738176349,
      0.216352786303505,
      0.22130560159831,
      0.208794064252827,
      0.193515487112084,
      0.185711448437805,
      0.192745001564896,
      0.209584144952126,
      0.21451322203045,
      0.203098487445133,
      0.168838446694109,
      0.117608995211765,
      0.0640230508838782,
      0.023978884951673,
      0.00675033623635852,
      0.00151894429151352,
      0.018096342136232,
      0.0618109457827996,
      0.135194935314678,
      0.189818592717214,
      0.188930060319855,
      0.180465059440302,
      0.175033020618773,
      0.173993019366078,
      0.179960728585723,
      0.1956414308982,
      0.225058559534527,
      0.266000844921505,
      0.295626137546615,
      0.281913510190568,
      0.252383284920763,
      0.253773253594894,
      0.276624069471897,
      0.29174203278632,
      0.290979536664037,
      0.277996753938213,
      0.257521092706707,
      0.254829096527778,
      0.284492103505744,
      0.309914716210082,
      0.290587593400488,
      0.258531738680962,
      0.259723914008064,
      0.281051306136819,
      0.293006684184802,
      0.295853375328806,
      0.285850090388492,
      0.258527031045059,
      0.246417032330889,
      0.273914318172549,
      0.307130731833199,
      0.291495760264245,
      0.257204691333951,
      0.252546229076688,
      0.269349676289037,
      0.285568902241727,
      0.2998287674388,
      0.305138728149912,
      0.289750028808732,
      0.282774035125579,
      0.302547931949043,
      0.313254339187315,
      0.281951572193531,
      0.248153609584169,
      0.247699804168233,
      0.265574500593342,
      0.266547167261032,
      0.25803205210318,
      0.259440632326605,
      0.256492470720294,
      0.254016980766095,
      0.265406813517878,
      0.260917450168756,
      0.232380535847233,
      0.222850234572814,
      0.250512316916775,
      0.283319718670715,
      0.271290746228531,
      0.233390579194409,
      0.22302588410689,
      0.253171736437149,
      0.288430881227272,
      0.287136965578318,
      0.253779428315721,
      0.221959536125477,
      0.222094253741058,
      0.259605938446119,
      0.294943054364316,
      0.275496632422789,
      0.232147202761534,
      0.222750784902396,
      0.260770250626284,
      0.299100694068746,
      0.288539441073072,
      0.264572115031859,
      0.253406575346781,
      0.24933573919245,
      0.247528043261969,
      0.253684455159343,
      0.273887251627168,
      0.279564388541282,
      0.255612080381614,
      0.240494678435733,
      0.26003989658331,
      0.288698240932582,
      0.290477927010058,
      0.274772505337376,
      0.265040413246526,
      0.25875235710921,
      0.260633624155906,
      0.278282646858777,
      0.282202769306758,
      0.261002467046748,
      0.246476725151536,
      0.25752893437952,
      0.284395894957949,
      0.289810299231563,
      0.260729919381698,
      0.242341086371775,
      0.250286895105835,
      0.273613243231811,
      0.30245811939243,
      0.302742920161882,
      0.270799314446563,
      0.250199036088633,
      0.272009335916199,
      0.302986173884421,
      0.295574162150228,
      0.258135490737867,
      0.241316678706909,
      0.252028967488723,
      0.268463932524285,
      0.278656248878163,
      0.283957338229791,
      0.279599730407522,
      0.27269640887358,
      0.285821635481086,
      0.293103215500039,
      0.26394454455347,
      0.228487065418662,
      0.234415896057901,
      0.271793268965899,
      0.287819779219523,
      0.25513925609357,
      0.22034333524675,
      0.225555043488599,
      0.264951972368871,
      0.293377483734228,
      0.280022512213464,
      0.245254356598228,
      0.221820196203448,
      0.235592680997691,
      0.275718066675169,
      0.288167924320388,
      0.248576405664774,
      0.208661140697336,
      0.205790407342516,
      0.228587125385386,
      0.226047611087286,
      0.19986462634772,
      0.197278021817577,
      0.226465966556788,
      0.251961351878232,
      0.246424769376783,
      0.239749889522012,
      0.241359556390647,
      0.242306211006385,
      0.244888166310076,
      0.25421107077313,
      0.265596582940841,
      0.288552122962205,
      0.302716130458048,
      0.281804638547644,
      0.255055564919722,
      0.251791912510503,
      0.270106506389397,
      0.29655732645633,
      0.302899966340901,
      0.270791707050764,
      0.240327564831248,
      0.254363671118158,
      0.276736802180122,
      0.252036814299196,
      0.222059415864844,
      0.237752556336349,
      0.275967525135296,
      0.280805808426829,
      0.245040925044591,
      0.220589343082833,
      0.238137359464449,
      0.276692602320845,
      0.286706717647463,
      0.2581140885591,
      0.226286645490017,
      0.218963148316754,
      0.247841001050077,
      0.284277223937601,
      0.278264435672568,
      0.23734397547488,
      0.217303044444436,
      0.23742734821086,
      0.25542269259761,
      0.227819275497685,
      0.198125893715371,
      0.188165749446263,
      0.176268367047557,
      0.160239216270268,
      0.167796178478083,
      0.192633219953815,
      0.2009550117894,
      0.174009728683645,
      0.127494074086519,
      0.0748113604500551,
      0.0274584606144325,
      0.00815171261758406,
      0.00131738009253626,
      0.0169765574458176,
      0.0608897941341036,
      0.138186433908712,
      0.19641323779195,
      0.194807410222266,
      0.182631295903864,
      0.176216850859595,
      0.175305923914928,
      0.177754122874271,
      0.187728537585977,
      0.208332652722441,
      0.240877840501489,
      0.27583859760501,
      0.282655491816847,
      0.266227701685559,
      0.267684680536475,
      0.291097787845953,
      0.30333207643413,
      0.294733303650469,
      0.281098260861247,
      0.272143868429988,
      0.273383375158741,
      0.29093749916869,
      0.306479585209412,
      0.290701890371933,
      0.265762173136927,
      0.2707419065681,
      0.295957006700032,
      0.30280262658943,
      0.292985377670223,
      0.276295534687329,
      0.252719386721087,
      0.236683049871667,
      0.247464769588216,
      0.270840364433607,
      0.265939880655001,
      0.253435198057412,
      0.270870639729841,
      0.302064751812466,
      0.308676806331145,
      0.305265129724166,
      0.299748587952389,
      0.278798789346631,
      0.266037884683613,
      0.284669747480239,
      0.295776626721606,
      0.268633503571789,
      0.248942329759152,
      0.270973518888153,
      0.303537989035794,
      0.298502999129457,
      0.279674382261024,
      0.282087486638468,
      0.277166604699474,
      0.258254484158875,
      0.252802929178051,
      0.247156413235879,
      0.231413654195637,
      0.231061923946895,
      0.254729912775813,
      0.282490089837696,
      0.276392831368194,
      0.245807227882642,
      0.234676520998746,
      0.254387317171277,
      0.275276053526176,
      0.275254985554507,
      0.255955006983387,
      0.23519965094809,
      0.235150892708393,
      0.262640446326461,
      0.288371131364264,
      0.272147972244654,
      0.236417313956704,
      0.233590398148387,
      0.279531095611823,
      0.312461148582584,
      0.284349208082438,
      0.256270429367085,
      0.256986155325668,
      0.264166046966972,
      0.273071968487411,
      0.288416793980203,
      0.297707487152211,
      0.274553191197015,
      0.242652904610407,
      0.252534767155859,
      0.296454904682959,
      0.316740981203785,
      0.294648855159644,
      0.27513195534485,
      0.274535965630641,
      0.279502166260864,
      0.291991806564956,
      0.301353590086523,
      0.28123192503507,
      0.254974388374448,
      0.259173063523198,
      0.277151969380735,
      0.285833277818677,
      0.271383394631433,
      0.251074166627534,
      0.258273134893382,
      0.286716440090037,
      0.305774969296088,
      0.309980034701051,
      0.297801979555269,
      0.272119166403372,
      0.264825302516103,
      0.286814470012013,
      0.302908539673782,
      0.280782494974829,
      0.253286564448606,
      0.256661563320342,
      0.282694053016425,
      0.299455603010449,
      0.302728959157987,
      0.300868406856012,
      0.283425353371228,
      0.260089456602994,
      0.268093786668711,
      0.284701789530117,
      0.264869818018846,
      0.23635219054913,
      0.241856587270068,
      0.272695003780767,
      0.287589786918356,
      0.262166326994617,
      0.232077945863632,
      0.235284033418967,
      0.262859092285559,
      0.28049218417097,
      0.270427863181436,
      0.248690823033591,
      0.236124529965538,
      0.247772383293627,
      0.275062715326251,
      0.281902338847656,
      0.249576627344816,
      0.213019820869862,
      0.214613323298472,
      0.23922177132208,
      0.229889858480773,
      0.192266871114935,
      0.187413165508018,
      0.232472784814554,
      0.274221855038368,
      0.25789921648621,
      0.229721971616789,
      0.225818312500356,
      0.233062909925435,
      0.240318647105643,
      0.247597452528991,
      0.257094586145684,
      0.28190147748487,
      0.299617941702703,
      0.284452645096765,
      0.270230824192821,
      0.279890770108337,
      0.299716202716161,
      0.315853278797761,
      0.314519382822653,
      0.278188234700062,
      0.241269596875481,
      0.251391049604609,
      0.277389710643605,
      0.261037648513318,
      0.23892098892382,
      0.251768132527871,
      0.280066303549025,
      0.282322956450276,
      0.251311337088734,
      0.226956856572293,
      0.238197060206183,
      0.267603334109247,
      0.278735714056917,
      0.262155593676794,
      0.239854641601369,
      0.237033218935585,
      0.260344788259534,
      0.285386714475442,
      0.275578765156038,
      0.240284340667032,
      0.220887441009924,
      0.239597282486592,
      0.244070298796062,
      0.201000643447589,
      0.166948167106068,
      0.17040432075532,
      0.187645825590509,
      0.20488447994359,
      0.216534731949214,
      0.217089993391985,
      0.202312414056654,
      0.168752985626211,
      0.121915811463543,
      0.0708779028562274,
      0.0272636165868082,
      0.00825566192688535,
      0.00123645302409321,
      0.0178841896405527,
      0.0632032939169354,
      0.139409804623024,
      0.196348174861003,
      0.207030827958463,
      0.207402001599455,
      0.200455792873703,
      0.198577830203592,
      0.193996688782626,
      0.180022654618336,
      0.172815559439018,
      0.192607294046445,
      0.221287175325413,
      0.230011815458597,
      0.220647989681202,
      0.215487410085049,
      0.221190061267063,
      0.22750183603811,
      0.230283309215664,
      0.224005196999969,
      0.216468320771638,
      0.221802770280737,
      0.243019872925981,
      0.251651763472725,
      0.232774587257927,
      0.216201954909552,
      0.215234787880565,
      0.223582163215167,
      0.230044776107626,
      0.234191547661013,
      0.223549982131092,
      0.204141839070974,
      0.199010232549037,
      0.220889238075715,
      0.241113463573654,
      0.22812790064528,
      0.218049827005846,
      0.237763052671127,
      0.262424092729246,
      0.263087525851568,
      0.259609141063456,
      0.257637557657594,
      0.241486124622296,
      0.228481101827029,
      0.236204359763738,
      0.237630622078413,
      0.218452048561942,
      0.216677732528169,
      0.245816859440543,
      0.27106772381631,
      0.260307856547121,
      0.24912904942033,
      0.25958464620876,
      0.254476078184041,
      0.229654950169872,
      0.216778405195074,
      0.210162717674196,
      0.20264718613781,
      0.204902140385246,
      0.216482370507712,
      0.229671556344011,
      0.232122192886878,
      0.224992712427454,
      0.223435071043499,
      0.22830971090515,
      0.227072364530404,
      0.219649340727533,
      0.207857188200964,
      0.199127611122804,
      0.202989759747641,
      0.221678958298646,
      0.237579983068776,
      0.231691406800625,
      0.215869170027412,
      0.215218289082057,
      0.238184739053265,
      0.248118771139605,
      0.217497066581894,
      0.185503955816424,
      0.180696529332308,
      0.187604234762836,
      0.201663945595395,
      0.228025710343458,
      0.248201614082911,
      0.228557287114308,
      0.198477077380506,
      0.210977238422255,
      0.247090381401484,
      0.251009957403877,
      0.214642304485234,
      0.193430194530937,
      0.197946627840537,
      0.211782591936945,
      0.236380268369119,
      0.253720367157575,
      0.232306686367207,
      0.206395056724712,
      0.218560825787925,
      0.244451482826872,
      0.25382472187078,
      0.234960414409091,
      0.215947013637875,
      0.216986850741603,
      0.235199546436123,
      0.243012370105303,
      0.234388568261784,
      0.216937070481339,
      0.204613275140796,
      0.212372952713001,
      0.236797905528806,
      0.250578925748306,
      0.230235415814915,
      0.212048374423947,
      0.214053299366139,
      0.231503778922805,
      0.240049491225751,
      0.236335190266551,
      0.227713479740553,
      0.214150377114332,
      0.19595617568908,
      0.202698534414808,
      0.225285044711396,
      0.223828576466022,
      0.210205273686465,
      0.212774151639569,
      0.22866022956645,
      0.233506395784064,
      0.216963039706048,
      0.2015925099257,
      0.204581267811481,
      0.215421938500596,
      0.22035806540894,
      0.216369156315538,
      0.207673415877474,
      0.202518133051647,
      0.208869484152711,
      0.223643250333877,
      0.230275679692809,
      0.21903695956145,
      0.199496550437451,
      0.197968267727243,
      0.211813627309286,
      0.207859544179007,
      0.183213579378696,
      0.182044762934505,
      0.22615055217677,
      0.265927596953452,
      0.247786327081326,
      0.219070119332331,
      0.218849813720698,
      0.230267888241407,
      0.231148996618004,
      0.222471576304504,
      0.21415452295299,
      0.219575717144371,
      0.224021291880322,
      0.211800463525418,
      0.204450994644573,
      0.214297359314051,
      0.228345127809046,
      0.233079095573948,
      0.225023326716174,
      0.204085130804995,
      0.184963468049626,
      0.188518533660904,
      0.203948274162037,
      0.205480150358397,
      0.20572286222146,
      0.217298996437349,
      0.231019489459827,
      0.228364503882219,
      0.210528480607237,
      0.200476762141846,
      0.209600121522416,
      0.222679232144214,
      0.223489605251184,
      0.212606083388705,
      0.202263328350398,
      0.204574008251367,
      0.22006915059538,
      0.235298055985868,
      0.233721274408765,
      0.218044295658802,
      0.210231658830575,
      0.228004418923007,
      0.228784463927123,
      0.186509905406969,
      0.154200898420569,
      0.162330033873524,
      0.196771847756944,
      0.2331174710306,
      0.245385181827813,
      0.234131622942459,
      0.21189421700432,
      0.169449753135231,
      0.110912230294106,
      0.0567733937091561,
      0.0224322011087088,
      0.00669940893843018,
      0.0012259684788548,
      0.0189139074418293,
      0.0647344409885751,
      0.136635807211601,
      0.188418204027005,
      0.204852694233195,
      0.213241616384995,
      0.210157110760792,
      0.214544345504069,
      0.20907187866163,
      0.177613149823222,
      0.151366640932872,
      0.165756694869555,
      0.193779543586309,
      0.196962187201552,
      0.181317188089677,
      0.171154004928442,
      0.17149570884213,
      0.180512194808986,
      0.191811184686934,
      0.187955258256636,
      0.174588603539918,
      0.175560482927917,
      0.201033805975226,
      0.218837840402283,
      0.202765854988967,
      0.17947204379327,
      0.169452376545201,
      0.17099425775678,
      0.181482893312471,
      0.197241079535694,
      0.1975908641282,
      0.182589567038705,
      0.182102148010437,
      0.209961450804302,
      0.228420919172194,
      0.203029253105354,
      0.176331852535207,
      0.188388941830756,
      0.21853304211989,
      0.237913626354674,
      0.241890951906195,
      0.235944749115236,
      0.218246265754916,
      0.210133758837496,
      0.21522966197395,
      0.207125618427184,
      0.181277604268224,
      0.16883654942695,
      0.186631700638311,
      0.215648299133693,
      0.229862721525775,
      0.234831447487286,
      0.24046581148218,
      0.228296065661379,
      0.216029079463391,
      0.223757441594417,
      0.217657825378944,
      0.189472554602361,
      0.17868812759205,
      0.195828244473205,
      0.216269599645126,
      0.218915981564305,
      0.206798293041785,
      0.199258455325399,
      0.203658697023191,
      0.209151563719982,
      0.203548985694029,
      0.187728368104,
      0.174978223927915,
      0.180472161258053,
      0.206225537092733,
      0.227944157080313,
      0.220064052812399,
      0.199650559728798,
      0.192561459143914,
      0.203161002002585,
      0.204460722172608,
      0.178216731368097,
      0.151706377806293,
      0.139977511149728,
      0.136264096583409,
      0.142806297839689,
      0.167361731059501,
      0.196212171828809,
      0.19560753786507,
      0.175660173455476,
      0.174437538185259,
      0.19002967699435,
      0.193257940846063,
      0.171306281055079,
      0.150414915774264,
      0.143267469137178,
      0.151410639353231,
      0.177853041095548,
      0.205120000976842,
      0.200245604727499,
      0.180908390377323,
      0.181256968438239,
      0.198149590335104,
      0.212263566570853,
      0.204923879801716,
      0.187803706533063,
      0.17748208472895,
      0.184903190265695,
      0.20024327884628,
      0.206726472176799,
      0.191032261109623,
      0.171828487633879,
      0.168245859792645,
      0.184277589735421,
      0.202514940183957,
      0.197611769889022,
      0.183041618541892,
      0.176145763285523,
      0.184527557866187,
      0.197658993905903,
      0.20296568110209,
      0.193173491065791,
      0.177133679521634,
      0.16594481170808,
      0.180636987397453,
      0.203834170265379,
      0.196929553027515,
      0.179755893824702,
      0.186630146758873,
      0.20958329148994,
      0.217716463545386,
      0.200948773999134,
      0.18319710948981,
      0.183593352177786,
      0.198144679160574,
      0.209348863975233,
      0.203059454835736,
      0.185913625989362,
      0.175450749179,
      0.18719780739852,
      0.212169405460432,
      0.223858173675326,
      0.209670794225722,
      0.187664583340166,
      0.186111864169815,
      0.202197662751335,
      0.197472664514362,
      0.177960186189254,
      0.188922393643583,
      0.234840987133604,
      0.260002464252552,
      0.236172663892542,
      0.221069518191861,
      0.230383564778659,
      0.23431101614695,
      0.225337304491942,
      0.218967452043088,
      0.211624622686905,
      0.204171111544303,
      0.196408284117883,
      0.184029598478009,
      0.177440197478223,
      0.181672944710954,
      0.193307386186038,
      0.201969035604981,
      0.194566381776742,
      0.17406116125799,
      0.163668849638837,
      0.177420390259401,
      0.193005964136389,
      0.184974491666639,
      0.178094746530722,
      0.193590563010165,
      0.214680673033775,
      0.214021677765169,
      0.193124041207349,
      0.180735469837022,
      0.190584329050702,
      0.207887160969243,
      0.210199952335316,
      0.195589153668186,
      0.180339390463113,
      0.180426923270273,
      0.201212949495895,
      0.223590946061963,
      0.222825928945443,
      0.20447774289205,
      0.202482436884439,
      0.233943246421991,
      0.243638290135038,
      0.195912101067527,
      0.159529253893159,
      0.162230830721972,
      0.173124412602734,
      0.177659149514577,
      0.186058732906547,
      0.202168231834091,
      0.203782227767435,
      0.165728282390102,
      0.10509678499284,
      0.051082712431279,
      0.0193209469349535,
      0.00552864784484093,
      0.00123570631422097,
      0.0190534166209335,
      0.0628705268014509,
      0.128366659104313,
      0.174963731121765,
      0.188906125476354,
      0.191569247390603,
      0.18384005693241,
      0.187421618245642,
      0.187945437164001,
      0.169299148066054,
      0.155498506500086,
      0.169095041549936,
      0.185995531648937,
      0.177645650102638,
      0.159970351907315,
      0.155875155154723,
      0.162436855544239,
      0.171836862434382,
      0.177517970123197,
      0.170680852569878,
      0.157620605374671,
      0.157436359288909,
      0.177834407439461,
      0.191398691610742,
      0.175243619229201,
      0.1551129036314,
      0.153840839784652,
      0.162374635142051,
      0.170480448577972,
      0.17900319481179,
      0.180850973622356,
      0.172497301053011,
      0.171436443567125,
      0.189340148211698,
      0.201999089691693,
      0.180992519087466,
      0.153840525813194,
      0.157212667877659,
      0.185266777349074,
      0.210913358512862,
      0.21729182172961,
      0.213466575700739,
      0.205336791910681,
      0.202084857779786,
      0.204608280603519,
      0.196243163228648,
      0.169205842911053,
      0.147450545605902,
      0.155239046930684,
      0.184803667926636,
      0.208087720571595,
      0.212783197942557,
      0.207895923206937,
      0.192281823629675,
      0.185576749201742,
      0.199297395352715,
      0.200040190817214,
      0.174460937962324,
      0.163195674662426,
      0.181385417688319,
      0.201825210661989,
      0.20069462578296,
      0.185450287062046,
      0.174930654802369,
      0.181386065281786,
      0.19417351392629,
      0.192169644822726,
      0.175216146164219,
      0.159945018565562,
      0.166710770713948,
      0.195059519587415,
      0.21568136857584,
      0.20385432999606,
      0.182051988392763,
      0.175039626359085,
      0.190903009613068,
      0.20027453268885,
      0.175966334609632,
      0.151000800781727,
      0.13920803783681,
      0.131297083311931,
      0.131894133181723,
      0.147162171775375,
      0.167027186720608,
      0.169077252095446,
      0.155806954518038,
      0.148848940767165,
      0.157017986148361,
      0.168581530361325,
      0.163461519839477,
      0.147717038942808,
      0.136968621496129,
      0.139885226171493,
      0.154968666129749,
      0.172159283265204,
      0.172414048214024,
      0.160177497982104,
      0.155281115616076,
      0.164889071378645,
      0.175646734299592,
      0.174720759681712,
      0.166426835584742,
      0.161964382033132,
      0.171262208059591,
      0.195083509306365,
      0.206312760963302,
      0.18789516791925,
      0.163421372608376,
      0.155983274909111,
      0.167200208306402,
      0.179477888371688,
      0.178445439428503,
      0.16988682985359,
      0.165079546731484,
      0.172160710325505,
      0.190828200822834,
      0.199982709129139,
      0.18888690924545,
      0.169957076120588,
      0.160077658526183,
      0.17215888180981,
      0.190591268996785,
      0.181414375957067,
      0.163545794974614,
      0.169772263371806,
      0.190918175949639,
      0.197566647729265,
      0.182244647161032,
      0.165886458900525,
      0.164688988750639,
      0.179678480425746,
      0.192425938833638,
      0.18687764157507,
      0.16963741171274,
      0.159797210692705,
      0.172552056103506,
      0.197223594550363,
      0.206278408469266,
      0.190310600507266,
      0.168304000253333,
      0.167186274587884,
      0.187607925688998,
      0.187446693613375,
      0.174879156668935,
      0.198315022591804,
      0.252689061164761,
      0.272990041690225,
      0.24271664516805,
      0.233862992846451,
      0.245225040830103,
      0.238661573152333,
      0.221860805976792,
      0.22320799131872,
      0.224704778887437,
      0.21691266614554,
      0.206109590090772,
      0.192754571340336,
      0.186272380806682,
      0.187638773389188,
      0.195180841624387,
      0.203781562169045,
      0.197204803829902,
      0.172797536333886,
      0.159604400529812,
      0.174642941795368,
      0.19122356056816,
      0.176835003485741,
      0.162726912902544,
      0.175947686547397,
      0.1976725208183,
      0.19821304619774,
      0.180311565931345,
      0.166002877025092,
      0.17053345863063,
      0.187599364243321,
      0.193058794888388,
      0.180191714749631,
      0.163719419820912,
      0.163666984550898,
      0.18553977597558,
      0.207121886986085,
      0.201925272583927,
      0.182913414146737,
      0.186733034326646,
      0.234356661742705,
      0.260506617824458,
      0.21225551549248,
      0.178992873004291,
      0.192718985583172,
      0.193051287102683,
      0.173266158393534,
      0.172856610422684,
      0.190286046767794,
      0.178598227071487,
      0.136183285136184,
      0.0871455439691761,
      0.0475173508465209,
      0.0194199690457683,
      0.00503400527360208,
      0.000993345960411174,
      0.0161300461021922,
      0.0548478795330769,
      0.117669914089812,
      0.165166009478878,
      0.168993964159322,
      0.159424636373584,
      0.148143120711803,
      0.149117663061762,
      0.158723390018556,
      0.16823188693113,
      0.184352147116371,
      0.206193736014286,
      0.205366849359727,
      0.175224319794945,
      0.153485551029774,
      0.15786508948199,
      0.170774209467692,
      0.176897727987056,
      0.175056121455787,
      0.169329230057718,
      0.160120574135209,
      0.16051435401027,
      0.178914148776876,
      0.187955263165716,
      0.16869186471515,
      0.15133849800123,
      0.15739895402471,
      0.171770031279053,
      0.176702049817107,
      0.174510921218714,
      0.171818463321209,
      0.164423501052541,
      0.157286225041528,
      0.165808130946209,
      0.185745123077561,
      0.185619893548897,
      0.168587225082669,
      0.163594154365092,
      0.177976898196762,
      0.191535671614344,
      0.195746696339493,
      0.195274484733661,
      0.193895012728326,
      0.192163651930459,
      0.19500426407441,
      0.195698165649317,
      0.181246839160525,
      0.162633099041047,
      0.15936921655008,
      0.173319598647489,
      0.183902790133663,
      0.187882566061152,
      0.188596735887854,
      0.177332172716447,
      0.164022457982297,
      0.167609348743199,
      0.174357526287271,
      0.166259938744163,
      0.165358970963764,
      0.180093931136264,
      0.193440270229777,
      0.18902710213568,
      0.177520020287673,
      0.173187534569343,
      0.182238206458785,
      0.192158449537314,
      0.187822708641887,
      0.175760327102435,
      0.166152653070898,
      0.171720147078681,
      0.19100721291273,
      0.201824602691754,
      0.188970673191503,
      0.173493606607309,
      0.17149778113323,
      0.191665064808284,
      0.204946359269066,
      0.182713316195692,
      0.157087972386325,
      0.144460712943457,
      0.136231397008214,
      0.137321534062478,
      0.149254839287794,
      0.164402934357723,
      0.163998308787076,
      0.151050740016881,
      0.146487163802996,
      0.15835493825237,
      0.170508352019688,
      0.166950415774788,
      0.154825315682585,
      0.146544435429228,
      0.146660001550044,
      0.153821023890016,
      0.164502417153136,
      0.165307160953445,
      0.15620971073524,
      0.154402664906396,
      0.165882380749433,
      0.176117914936117,
      0.176646004764569,
      0.170826078346773,
      0.169564090751399,
      0.177558816684452,
      0.190735304298153,
      0.190021709591067,
      0.17774140319355,
      0.165458289899313,
      0.16587440993288,
      0.179741568584828,
      0.190063657686482,
      0.184019492312186,
      0.173815237824934,
      0.173463423900164,
      0.181950826209855,
      0.190640364165852,
      0.184765109388502,
      0.176539306444848,
      0.168170024682573,
      0.158800329919425,
      0.160372421113356,
      0.175169354301083,
      0.173572798248923,
      0.1634783927195,
      0.169165356519976,
      0.186016083278613,
      0.189206654470708,
      0.17639596243431,
      0.165542180967123,
      0.167796888571352,
      0.178233652594341,
      0.183098979353001,
      0.177964268376758,
      0.169302688093438,
      0.164735826538489,
      0.175003882509924,
      0.192625395172878,
      0.194336871637517,
      0.178816901946374,
      0.16292729658387,
      0.175356668863951,
      0.209121125033721,
      0.209548147439794,
      0.180540285010191,
      0.187070110850913,
      0.234116608300942,
      0.263600745417108,
      0.245011436006183,
      0.229790074058782,
      0.228413779298024,
      0.219879261298228,
      0.210589044627137,
      0.216834015514144,
      0.22055687725674,
      0.217377007206936,
      0.213383708007008,
      0.202334552195376,
      0.191331704167523,
      0.18848759569206,
      0.192932576011625,
      0.198685255805535,
      0.190801333796896,
      0.164423549006358,
      0.145081885667175,
      0.15560752607359,
      0.177280670005509,
      0.174199626325335,
      0.16546282356042,
      0.174443186232081,
      0.188383839059566,
      0.185543354013422,
      0.172821873919476,
      0.16465865051399,
      0.169620499755617,
      0.18128085562193,
      0.184459428582128,
      0.178801951589551,
      0.171143950841107,
      0.171837825517189,
      0.184896708081467,
      0.19638107776191,
      0.189028654445584,
      0.175258903302742,
      0.17379086338611,
      0.203583047455128,
      0.229872002890412,
      0.2071741423122,
      0.186666069275193,
      0.198824306770951,
      0.211266606498004,
      0.212597172297336,
      0.205477964540193,
      0.187446677719939,
      0.156432186995866,
      0.122683581400031,
      0.0844394252978605,
      0.0471001563086556,
      0.0187675885408241,
      0.00437670574332564,
      0.000555310011627461,
      0.0111199527178794,
      0.0430918069246778,
      0.104002323513943,
      0.157913870366063,
      0.167346839546721,
      0.164050423035651,
      0.154212142668766,
      0.144769901084515,
      0.150747210405718,
      0.175055443930393,
      0.208657272048748,
      0.23658087865128,
      0.229310647242013,
      0.192787777092368,
      0.169715742874649,
      0.179507190001118,
      0.20055111322212,
      0.208527080807033,
      0.200991225642011,
      0.190673110935176,
      0.178059503521392,
      0.176842819845408,
      0.196785235596573,
      0.204324112006049,
      0.184190611702182,
      0.169976302906195,
      0.18258396046196,
      0.204111462544511,
      0.209902396831163,
      0.198283229651712,
      0.186374591814114,
      0.176681209359493,
      0.170358427434925,
      0.182424547581298,
      0.207239977713308,
      0.210483563499393,
      0.199315228657608,
      0.198728235741396,
      0.202739845409342,
      0.199325205881731,
      0.203029563414798,
      0.211173176698022,
      0.208871679470231,
      0.203156008515806,
      0.206937714779883,
      0.213312378725446,
      0.204113049898787,
      0.19356329902135,
      0.196280748964489,
      0.201090655384105,
      0.190908497112967,
      0.185339950118832,
      0.189379195873145,
      0.184026513576827,
      0.176012329413794,
      0.181239392830284,
      0.184948401847595,
      0.175856401690118,
      0.178886573006731,
      0.199469611291,
      0.216168926774386,
      0.203667311169854,
      0.179318422404334,
      0.170319254768771,
      0.184012468704436,
      0.197043972632851,
      0.189506508036119,
      0.174574597197289,
      0.166486717871304,
      0.17829902979636,
      0.205441798014052,
      0.222129180140888,
      0.204825301837721,
      0.179742794688146,
      0.17702697801334,
      0.201591900183409,
      0.213801613757967,
      0.189779320561387,
      0.170261737900362,
      0.163385963965183,
      0.162110365351223,
      0.170342056168346,
      0.186214562717023,
      0.196910497842613,
      0.184300824151869,
      0.160549755208743,
      0.157978767082157,
      0.179509226089311,
      0.194089367637494,
      0.188314802800323,
      0.1775122675945,
      0.176470037838876,
      0.18232807433744,
      0.191946843004748,
      0.19694306284917,
      0.188328614489418,
      0.17566460221857,
      0.177860317664932,
      0.194307325986895,
      0.206767302307989,
      0.202912398249354,
      0.185267045643682,
      0.177689295787115,
      0.184935963823204,
      0.195861139187262,
      0.195505627311674,
      0.189636809118369,
      0.184136021183762,
      0.191702093288654,
      0.215966974535811,
      0.229985427254208,
      0.212392483318028,
      0.184388066449773,
      0.17650414353897,
      0.185682161282434,
      0.193172345443781,
      0.185904166772247,
      0.182907040335578,
      0.182257625269336,
      0.178120341899527,
      0.184611639423782,
      0.197263865852337,
      0.188061280318131,
      0.173810585736388,
      0.182797121496523,
      0.205894739762805,
      0.208507395653503,
      0.185841812804545,
      0.16664303639261,
      0.170136341549736,
      0.187412968723027,
      0.195280874653831,
      0.185341944791628,
      0.172783157258907,
      0.171322311039539,
      0.189800932320908,
      0.215389603222506,
      0.216444432883373,
      0.190996866102638,
      0.169094254597765,
      0.202040458944213,
      0.264714189525518,
      0.260904945751904,
      0.196325997241439,
      0.172918201487073,
      0.203861838391988,
      0.24202620555568,
      0.239704013932662,
      0.215586778291952,
      0.199848203626381,
      0.195162941512242,
      0.196898833510626,
      0.20377961067733,
      0.208663924794572,
      0.212085402385548,
      0.212824890173329,
      0.200105936020789,
      0.185836453772169,
      0.185537713484256,
      0.192947517817795,
      0.193082474147379,
      0.177864320759441,
      0.156075687417686,
      0.147531122894218,
      0.164951965148478,
      0.185196384066053,
      0.179201639602141,
      0.174587257005625,
      0.191661182955692,
      0.211611009942029,
      0.204920266727729,
      0.181640937264846,
      0.16721498309568,
      0.175571113611038,
      0.19226021633186,
      0.192253753683034,
      0.179468427084982,
      0.170100665109427,
      0.174732468113821,
      0.196140573033447,
      0.216462557411277,
      0.208665082168395,
      0.184291912295605,
      0.174068562548564,
      0.191761356666195,
      0.21096952257283,
      0.196839100521198,
      0.178949475372182,
      0.176001728406695,
      0.186408862323261,
      0.199852799929627,
      0.194006544614062,
      0.173929257856435,
      0.166875002625166,
      0.151290317669348,
      0.105976690428214,
      0.0516563889618251,
      0.0175629460995609,
      0.00436288841694904,
      0.000756924893543997,
      0.0165953213443561,
      0.0628536472790323,
      0.143178217470189,
      0.204348819470506,
      0.22166986104252,
      0.234218287741761,
      0.225549352554008,
      0.212413320197413,
      0.206472133440189,
      0.204295303684362,
      0.209511626450888,
      0.231609426003485,
      0.243498367576737,
      0.227263097905281,
      0.205249460904758,
      0.215104813633628,
      0.2456014913485,
      0.259745713905206,
      0.252433142110606,
      0.241424162680777,
      0.224907063628661,
      0.215552157885928,
      0.23225375257065,
      0.246935304868011,
      0.230927523154781,
      0.208485731751437,
      0.218244750116932,
      0.246117451253599,
      0.256830297768399,
      0.246872355261654,
      0.233554087687443,
      0.216431239791533,
      0.213006744281844,
      0.244530146275876,
      0.273304231486915,
      0.250711238554561,
      0.220237112762856,
      0.221298573331185,
      0.226587958490969,
      0.22549202932721,
      0.239977676878206,
      0.258528566055693,
      0.250795145666357,
      0.241344362657824,
      0.256101048961102,
      0.265398391712464,
      0.237521848826666,
      0.213134823284112,
      0.218529839121294,
      0.227449447953224,
      0.216471434079539,
      0.213230667451997,
      0.229945413728035,
      0.237866770642302,
      0.237811732745207,
      0.24712905410968,
      0.238453278537317,
      0.202639918519432,
      0.187581580705581,
      0.214109699123789,
      0.251092516461583,
      0.245429770500728,
      0.207136797932129,
      0.184562201053755,
      0.196347120899542,
      0.220815024784565,
      0.22930869727814,
      0.213730967397026,
      0.189183468541737,
      0.187653134861793,
      0.220615878139873,
      0.258049718540543,
      0.246293928296654,
      0.204351394823821,
      0.18936675278301,
      0.218402544069013,
      0.246868456998044,
      0.234654459018199,
      0.220465124351766,
      0.214326271220086,
      0.216176902249276,
      0.228581577507162,
      0.247666984851178,
      0.257021409288786,
      0.238759572162849,
      0.204076121535722,
      0.19280734952094,
      0.218874768549237,
      0.248179911389425,
      0.250572535450852,
      0.234637689862346,
      0.229216876324626,
      0.235849624476588,
      0.248904399329957,
      0.255497722525105,
      0.241346861253504,
      0.214118917778601,
      0.205035323878613,
      0.22719369366722,
      0.258221700572015,
      0.258373256090463,
      0.221479974943563,
      0.196127715604366,
      0.201420209731575,
      0.226362739074606,
      0.252672817918666,
      0.25336465080761,
      0.229637457788242,
      0.221227566572134,
      0.253858357378351,
      0.283552771731738,
      0.265120903584673,
      0.218488546998521,
      0.194781587369385,
      0.203142474785227,
      0.22463171110333,
      0.237210543010549,
      0.24090378594816,
      0.239202662828668,
      0.235063296568687,
      0.246633112759169,
      0.252769354983447,
      0.224930148182768,
      0.190799445551006,
      0.196072811083461,
      0.233508489592063,
      0.25296219646612,
      0.225423115934123,
      0.190123394239064,
      0.18896725390512,
      0.217670374555033,
      0.241800785129887,
      0.2343053444559,
      0.20713600068691,
      0.186164314646643,
      0.200488403371955,
      0.242615469147553,
      0.261211812962836,
      0.226577500331603,
      0.183630089575205,
      0.198983109799951,
      0.256690480032832,
      0.259382138901275,
      0.198429597534857,
      0.169389303097129,
      0.192720100219234,
      0.229874581901454,
      0.230516575662345,
      0.212084310697283,
      0.205816454232685,
      0.209460266418978,
      0.21064543590971,
      0.213933842551489,
      0.223666444263631,
      0.241853970874496,
      0.254487694214571,
      0.237792856317259,
      0.212345891486329,
      0.207567285814764,
      0.221107522970843,
      0.237718624661329,
      0.236998326488552,
      0.212194818437058,
      0.198119377508697,
      0.229935317018288,
      0.259718956805968,
      0.229003845659074,
      0.192201542292954,
      0.207154289301365,
      0.247320973192581,
      0.253053331303327,
      0.216501565987858,
      0.186489787623622,
      0.195484323688686,
      0.226020397475637,
      0.23844635750745,
      0.220509107094245,
      0.194447164699792,
      0.185606365722412,
      0.211573856092808,
      0.251304340502764,
      0.253855076129617,
      0.215549040767801,
      0.187319702806513,
      0.191492068737126,
      0.205280756902376,
      0.192665877178389,
      0.175321102328462,
      0.162665342898774,
      0.152398763200225,
      0.143613640779652,
      0.147245902317057,
      0.161956528976207,
      0.173669089886394,
      0.151802393041198,
      0.102409804877685,
      0.049568492210344,
      0.0167051775737306,
      0.0046016072381981,
      0.00183753355445719,
      0.0388334723209707,
      0.129496811798473,
      0.255318733936696,
      0.319987298999342,
      0.316945308938996,
      0.309789225645984,
      0.292371145987985,
      0.302805972488185,
      0.302347114983922,
      0.258515827358566,
      0.219801927744365,
      0.232450073330222,
      0.268231092284362,
      0.276221801679232,
      0.254702334760893,
      0.257350899105185,
      0.284813523765388,
      0.29567396888492,
      0.286977382187228,
      0.276977725995241,
      0.258407957610332,
      0.245720302935473,
      0.262928392282969,
      0.291007595948972,
      0.285533558538616,
      0.258066353424031,
      0.261761705188616,
      0.28863019512252,
      0.293596018905595,
      0.285701439489531,
      0.279892633411837,
      0.253010876202389,
      0.232477070391994,
      0.259665153047916,
      0.295746923514673,
      0.272118021777308,
      0.233326057109169,
      0.235367969722102,
      0.254741716680119,
      0.26524833791225,
      0.280370411421309,
      0.288985372766511,
      0.269098372825054,
      0.258778175401569,
      0.286949497792612,
      0.300030570448366,
      0.259101158117995,
      0.222266640209131,
      0.231680503754797,
      0.257479718798697,
      0.259282130516379,
      0.258525311940091,
      0.281113843027932,
      0.293349899401,
      0.285656889163639,
      0.279698401325048,
      0.261323878605615,
      0.228926629755427,
      0.225340742649731,
      0.25450402202768,
      0.282275864164281,
      0.270102536778001,
      0.237587856641127,
      0.229282299231141,
      0.255298260347616,
      0.27852549890449,
      0.2758249070873,
      0.250943041199628,
      0.22431956725355,
      0.227025388397881,
      0.262829904738246,
      0.290595377801932,
      0.266665157788686,
      0.226000317115909,
      0.219106187601004,
      0.268830294360731,
      0.311891862095615,
      0.292422377158829,
      0.272291557310726,
      0.267637106524853,
      0.256830243331933,
      0.254721608653191,
      0.276244842302555,
      0.301141071156236,
      0.294583564146439,
      0.260873631667149,
      0.247685571762389,
      0.276237343849256,
      0.307372520965032,
      0.306868110255943,
      0.283854647306437,
      0.263132617047441,
      0.259875629394865,
      0.277347233033841,
      0.295362070492551,
      0.285867158619616,
      0.254987934839803,
      0.239438199753963,
      0.255044795299972,
      0.286796469869558,
      0.29308384195984,
      0.259877634169239,
      0.23618476121027,
      0.249161333160966,
      0.278711783177593,
      0.3045902077585,
      0.299774772426988,
      0.264234655623158,
      0.245304705284368,
      0.272815181496745,
      0.308345934688221,
      0.300709810179373,
      0.258928602881465,
      0.235780275305162,
      0.252179231762088,
      0.282144065305132,
      0.298981605316763,
      0.299396320856299,
      0.289983195516168,
      0.278244650785699,
      0.285203448620537,
      0.287797892096662,
      0.259950509179933,
      0.230506275253737,
      0.241201471200295,
      0.277146073354615,
      0.289335431087785,
      0.257425682368613,
      0.225353107442521,
      0.23613241638722,
      0.273990545170831,
      0.291726891483534,
      0.270592512605109,
      0.2371712895639,
      0.218272984079988,
      0.234876940137674,
      0.27132787525844,
      0.281029548170614,
      0.245574207055762,
      0.205909506309285,
      0.204053912666493,
      0.228300484955786,
      0.223338589570403,
      0.187092094444318,
      0.176962534852672,
      0.2083716525378,
      0.240963972849529,
      0.228274260700498,
      0.214233587411925,
      0.231730551089772,
      0.254831296635851,
      0.257384608005613,
      0.251776419190155,
      0.260261091081544,
      0.29124620665446,
      0.316355227967429,
      0.297592404635622,
      0.268860665221988,
      0.269343228201166,
      0.292817738149992,
      0.322077870619748,
      0.329519632721211,
      0.289117635652605,
      0.249898751436403,
      0.277709510632395,
      0.315349364355893,
      0.278682373063394,
      0.232754808095708,
      0.245547123611645,
      0.280018899956349,
      0.279490301374702,
      0.244242248468905,
      0.222687941073735,
      0.247413372370895,
      0.284942228263084,
      0.288323972580196,
      0.258071581950282,
      0.22868871491382,
      0.227622947523432,
      0.260585480280074,
      0.291011383712462,
      0.276000646543946,
      0.232108358171538,
      0.196765555147993,
      0.195612768889505,
      0.20730736675967,
      0.189233666304473,
      0.167182417742952,
      0.163402460818064,
      0.159939989369766,
      0.152295006212667,
      0.16479654460539,
      0.179471174918451,
      0.158609827368189,
      0.111371225747698,
      0.069444938266764,
      0.0382989426678177,
      0.0164690887180835,
      0.00482962731753849,
      0.00215881091606949,
      0.0461947676078708,
      0.146109204196094,
      0.271662700905335,
      0.323482982593275,
      0.297079047991048,
      0.262920786094634,
      0.231432310246795,
      0.238256662830931,
      0.24417947301298,
      0.223226460095993,
      0.203861877101385,
      0.212330621818833,
      0.236570257199508,
      0.243737342289477,
      0.231342669999343,
      0.230932869538512,
      0.246129592017935,
      0.255344075525878,
      0.256822656202358,
      0.248409071999269,
      0.228314793279303,
      0.220525517761679,
      0.239881331914953,
      0.259091962830284,
      0.250312406481407,
      0.23297511935921,
      0.233912085404707,
      0.248672142450407,
      0.254757720731752,
      0.258869376628811,
      0.254155010492481,
      0.224524638776494,
      0.201997156811967,
      0.219849818799363,
      0.254031175617527,
      0.248770276058404,
      0.229513580608578,
      0.240378390799575,
      0.269381553833652,
      0.276362823516809,
      0.274666353265272,
      0.270029299617706,
      0.247457010438543,
      0.230707283971604,
      0.247193182965625,
      0.262662971673048,
      0.241867622798189,
      0.222540014189135,
      0.241739784892339,
      0.276234905605552,
      0.274221970456301,
      0.260333831291077,
      0.268541033156617,
      0.266580297087221,
      0.242763203484794,
      0.225276591642251,
      0.215313299106962,
      0.208436475902839,
      0.227798958297985,
      0.260119781357904,
      0.266405305522226,
      0.231961497889519,
      0.20476890750427,
      0.210786900390234,
      0.240971063985159,
      0.252857045356136,
      0.231616938170754,
      0.208840521530673,
      0.204512874191231,
      0.226305985622888,
      0.262384533681942,
      0.271256470444599,
      0.233547401740658,
      0.202739503026587,
      0.211607949735586,
      0.2726203459011,
      0.309809943702851,
      0.263949418400452,
      0.216768914040142,
      0.206858120295174,
      0.202734407706505,
      0.208214402494334,
      0.231319707026747,
      0.262204031802155,
      0.275283547925372,
      0.257880538173555,
      0.246526998484793,
      0.257913058360677,
      0.260805413496884,
      0.23956627044857,
      0.221945004143029,
      0.213844642398215,
      0.217052694561021,
      0.237651112620472,
      0.266833712628853,
      0.273719327190753,
      0.252398804673524,
      0.239846884659053,
      0.249624401782707,
      0.267780279657125,
      0.262636482477847,
      0.2398766480927,
      0.230632346187237,
      0.249234493117265,
      0.265892246354,
      0.262568843297379,
      0.244960386323882,
      0.223228384796164,
      0.223975434895925,
      0.247589441160739,
      0.268318757748549,
      0.258177720480924,
      0.239452700773906,
      0.235261681275284,
      0.256916378243266,
      0.274340440718505,
      0.268967154266308,
      0.255527064043137,
      0.245768481560366,
      0.240307515154955,
      0.250045464341233,
      0.258692524550207,
      0.23974807117075,
      0.222421405197684,
      0.240596490640328,
      0.268894815843597,
      0.25599369014882,
      0.215352558319242,
      0.196951247114625,
      0.21629301658252,
      0.24908504761506,
      0.252610810781187,
      0.226790452298862,
      0.209129610361711,
      0.213340054879822,
      0.240384354051172,
      0.264679038300281,
      0.249295799912917,
      0.208752734439751,
      0.185914383235457,
      0.200174899763948,
      0.230405953379851,
      0.225082882585801,
      0.187488180696033,
      0.18207902974935,
      0.222011015647068,
      0.254178396703903,
      0.232213651209195,
      0.214350903894663,
      0.235954116944107,
      0.261453010278743,
      0.258948270211755,
      0.239634745008788,
      0.236228542351132,
      0.257903982834353,
      0.270622603705045,
      0.25038911304854,
      0.234054206107404,
      0.243225688494226,
      0.260697363403757,
      0.273887651128045,
      0.271489596961558,
      0.24167753735926,
      0.212132187467886,
      0.218926108059105,
      0.238965480222883,
      0.228368886322482,
      0.223245089456431,
      0.249563100010429,
      0.268858589527744,
      0.243711729024873,
      0.206868790063188,
      0.198585268807024,
      0.227778776986307,
      0.256875652943669,
      0.245350930310843,
      0.215034906770546,
      0.203159619672527,
      0.218964626347295,
      0.252362608994818,
      0.266832823959881,
      0.237970057563942,
      0.20309739427294,
      0.193234033236941,
      0.216929851358324,
      0.22980931931309,
      0.190902920402299,
      0.154038411537753,
      0.157603475931291,
      0.183289033367846,
      0.212157122022578,
      0.226593658966136,
      0.205711299048339,
      0.15846916581584,
      0.110611353696096,
      0.0711602686340689,
      0.0382013672106866,
      0.0159995700642939,
      0.00435604515924025,
      0.000810100670787432,
      0.0208589942329144,
      0.0721851978227833,
      0.148119155019481,
      0.194999589029802,
      0.188872241955346,
      0.174020971682618,
      0.156293721593471,
      0.14686973024504,
      0.144473672584661,
      0.146279928056485,
      0.15277425988914,
      0.168715384469646,
      0.187364820742932,
      0.189451521342329,
      0.181531191938283,
      0.176318657712052,
      0.17939254002712,
      0.191720606480865,
      0.203896352070495,
      0.196624370959747,
      0.178049012498045,
      0.175504175016375,
      0.194921918351527,
      0.20902905795317,
      0.195555633864362,
      0.178662272351355,
      0.1719506237803,
      0.177352960282728,
      0.192319852481446,
      0.206261888134593,
      0.199252663177616,
      0.175720697804667,
      0.164967070489995,
      0.180189973021748,
      0.205446249541087,
      0.204568618058776,
      0.19215770739975,
      0.203354543491037,
      0.23309464278554,
      0.245208828727801,
      0.245629150485632,
      0.24085546009525,
      0.216741033886631,
      0.193628300174148,
      0.195303653575126,
      0.202299427250157,
      0.194176239646098,
      0.186707714478537,
      0.204975203074582,
      0.239177003056719,
      0.245632831676774,
      0.238685336245634,
      0.239238409290265,
      0.219354148979293,
      0.190609794346113,
      0.194998780752581,
      0.200581651037898,
      0.184761651301908,
      0.177970691584387,
      0.194460922403433,
      0.209844880309136,
      0.20006581390862,
      0.182370856921774,
      0.180135518162457,
      0.19515978321343,
      0.205502402210121,
      0.194659177010289,
      0.175226901844788,
      0.164579991662639,
      0.171540661120123,
      0.196018138054488,
      0.218054082881494,
      0.203624395816617,
      0.178510274113247,
      0.181331105631421,
      0.218949019357286,
      0.235116129842924,
      0.196282049238067,
      0.15676622116603,
      0.146025434483742,
      0.145426841351309,
      0.152715017644818,
      0.171658176792749,
      0.199085635119121,
      0.215018528628355,
      0.207371934745347,
      0.203987009146301,
      0.209351519135164,
      0.197513532693988,
      0.166367682104179,
      0.153037291196562,
      0.153578965047441,
      0.159957144667403,
      0.178403466946324,
      0.207281778656826,
      0.218798956715653,
      0.203611156181406,
      0.193452571732464,
      0.203708645300644,
      0.219076164465062,
      0.211340379904109,
      0.200233913298445,
      0.200187970374615,
      0.210997591900193,
      0.215372198896989,
      0.20579117035351,
      0.186476919063956,
      0.170190864108756,
      0.170451302969555,
      0.18818621692644,
      0.208302449851498,
      0.204474873162957,
      0.197151286515371,
      0.198363524986171,
      0.210828440536564,
      0.21695551487826,
      0.208959884085173,
      0.192201214957918,
      0.177032316204841,
      0.168654284665711,
      0.187670844330736,
      0.214400187956834,
      0.205042445689404,
      0.182815313389138,
      0.188001365010377,
      0.208688826135587,
      0.206677622971481,
      0.181882470541721,
      0.165822196333753,
      0.172243260098035,
      0.191480372724674,
      0.202727712562702,
      0.19185832448641,
      0.175404709693572,
      0.170073992501632,
      0.182527426673121,
      0.204702489721875,
      0.208126113470382,
      0.184774560886337,
      0.165341197983522,
      0.177142908100425,
      0.206535078121075,
      0.208950754716685,
      0.179982823500473,
      0.177385031596417,
      0.211444681333797,
      0.240316867296831,
      0.226665333693025,
      0.213025785655252,
      0.220851337520314,
      0.228518498856588,
      0.217259622515097,
      0.201325631904847,
      0.195002387133153,
      0.199067384483106,
      0.199280560906852,
      0.185387629081813,
      0.173911282802856,
      0.176844743110581,
      0.187617967138379,
      0.198608900259923,
      0.195719996838391,
      0.174387934459363,
      0.156952726225422,
      0.163995300721385,
      0.179101910837306,
      0.175827121654401,
      0.171594936590093,
      0.184543053780946,
      0.201413633004743,
      0.195455170941743,
      0.174894250854576,
      0.167083884096658,
      0.182987045844047,
      0.203398167741668,
      0.201685696859154,
      0.18163486810845,
      0.167559442226571,
      0.170440208648029,
      0.190110959432943,
      0.212365092670952,
      0.205577211615682,
      0.180925723766666,
      0.182680057462329,
      0.223970544251464,
      0.239374374309668,
      0.189607968009853,
      0.139688929319355,
      0.127498433565191,
      0.149273153581424,
      0.188962265431141,
      0.209921459665359,
      0.197699560077114,
      0.179986770115254,
      0.14938003570048,
      0.0982240645563708,
      0.0445434676449783,
      0.0147538104903277,
      0.00340240908321461,
      0.00016509958591171,
      0.0077151318426117,
      0.0342926211879808,
      0.0867294429378844,
      0.135815186629809,
      0.150523847739048,
      0.154634373738714,
      0.150036515173372,
      0.143381374272396,
      0.137690116181046,
      0.135210335763002,
      0.142972844103542,
      0.165978575410223,
      0.184085051466108,
      0.176131006916263,
      0.159795587869803,
      0.150830029206868,
      0.149802841593897,
      0.155795703216498,
      0.165095647532875,
      0.164190632043896,
      0.155859914697108,
      0.155216320079914,
      0.171512871679356,
      0.186889820836609,
      0.176285879149431,
      0.157461267624169,
      0.148351648803591,
      0.148005950711727,
      0.153085948925803,
      0.163568763454666,
      0.164438527675004,
      0.152265211066946,
      0.147020355286102,
      0.163714577541524,
      0.184199100958521,
      0.178042297582627,
      0.158677201299233,
      0.161047335942941,
      0.182281856512292,
      0.200465075930414,
      0.208351652533468,
      0.205554240156925,
      0.185997319391667,
      0.172022406630403,
      0.175401676110414,
      0.175771531232844,
      0.163463250822971,
      0.151590525148416,
      0.161739734854741,
      0.18685435369294,
      0.199112557630512,
      0.198494386983073,
      0.199254755850502,
      0.186808536027283,
      0.180055968153075,
      0.199435173151912,
      0.197506742872801,
      0.161642819841503,
      0.142063762396582,
      0.164743815619365,
      0.195591505873958,
      0.192623435856727,
      0.164563140147768,
      0.149739850209947,
      0.163952290246531,
      0.191456439824234,
      0.194729785511317,
      0.167077881683242,
      0.141557388764686,
      0.145952338787172,
      0.178864300502271,
      0.207295557870669,
      0.191207622736702,
      0.158926081307088,
      0.152638880415556,
      0.179187061546925,
      0.196029971118921,
      0.169820241791116,
      0.139029850588096,
      0.131520576672183,
      0.133789296852539,
      0.138147283913149,
      0.149459888926891,
      0.167592910704716,
      0.175393186338397,
      0.16728427761943,
      0.162570590616681,
      0.164268671124397,
      0.159256496839435,
      0.143474267268827,
      0.137644775058133,
      0.139973274747891,
      0.144249552212726,
      0.154297229013047,
      0.171156286870658,
      0.175641669251581,
      0.164399001738878,
      0.158386108227731,
      0.166788205336964,
      0.177644745100779,
      0.174303452385689,
      0.166730221732979,
      0.162668297233821,
      0.166627250443897,
      0.177902576751605,
      0.183325924353578,
      0.170248863385211,
      0.152802024991096,
      0.146195427993538,
      0.160113565599861,
      0.182699948825621,
      0.184640567643306,
      0.17286507516005,
      0.165752883689229,
      0.169553039907791,
      0.179969840925671,
      0.185193190813315,
      0.174626601414848,
      0.155672174701047,
      0.144061655687875,
      0.166108984786768,
      0.194560716195417,
      0.17797505561222,
      0.146149382262396,
      0.151337894338913,
      0.18535923413022,
      0.199583942621772,
      0.172504659168271,
      0.143418211633602,
      0.144391071891263,
      0.171630113860207,
      0.197004714417001,
      0.187221261441723,
      0.15704519246439,
      0.141172111762724,
      0.156194540485559,
      0.189135494109103,
      0.199683956357184,
      0.171948247845137,
      0.142004844392472,
      0.144750568935052,
      0.173977505326731,
      0.183580896326727,
      0.163936260399067,
      0.169020021783449,
      0.205115184468308,
      0.228370569141398,
      0.215811728178879,
      0.213593956950444,
      0.22307855461112,
      0.220989721088107,
      0.207408194537657,
      0.20381178482558,
      0.202070663840037,
      0.194663905248829,
      0.185812201510993,
      0.177800044244121,
      0.17095183986435,
      0.166498794514124,
      0.169975887047595,
      0.183053770876462,
      0.182917819633112,
      0.159662764294035,
      0.147294288215389,
      0.166691475710712,
      0.181119804312095,
      0.159855839455012,
      0.141816765593747,
      0.159419172676322,
      0.189200663324638,
      0.188035445921037,
      0.157635525756725,
      0.138257787146553,
      0.151364608139425,
      0.185646609686538,
      0.202174148802601,
      0.178676793803338,
      0.147658931711829,
      0.142617516881934,
      0.169065784451945,
      0.201488643333945,
      0.196857727831134,
      0.165186803427599,
      0.155157519767049,
      0.194134108150046,
      0.225245045655532,
      0.194091564091273,
      0.156618570535985,
      0.144176730379451,
      0.13661225533824,
      0.134880435754658,
      0.149087707665061,
      0.165016623573694,
      0.168544677300384,
      0.143939744225056,
      0.095963097691221,
      0.0452569301274259,
      0.0136691552594216,
      0.0029483922109403,
      0.000114176212463113,
      0.00730401761385935,
      0.0326960109682742,
      0.0818241179999734,
      0.131799204065465,
      0.157654104123894,
      0.165878701749092,
      0.15690538172788,
      0.15600108597922,
      0.15891809200674,
      0.15415952460494,
      0.154137008881838,
      0.17105685646639,
      0.179485294935161,
      0.162909335776002,
      0.143619985299852,
      0.140362918761695,
      0.146780254825806,
      0.151273838218245,
      0.152564146394068,
      0.151920451059216,
      0.148992298108581,
      0.147934492992149,
      0.159431027988595,
      0.169786669399203,
      0.158345658380518,
      0.141494432475486,
      0.140341381700855,
      0.147533591775555,
      0.15013918633687,
      0.154565757398501,
      0.159754824752495,
      0.155181912826789,
      0.150360147178135,
      0.163553584006838,
      0.180940723144365,
      0.17423451841456,
      0.156060306816361,
      0.150990395729355,
      0.156825994194531,
      0.164106859076376,
      0.171061861418583,
      0.173870649625969,
      0.168180242635366,
      0.163338433157696,
      0.168590638497272,
      0.171775904005363,
      0.162354923090325,
      0.149187923667115,
      0.149418239552409,
      0.157589815568872,
      0.161444984316889,
      0.164479717407351,
      0.170626855926915,
      0.166621938342105,
      0.162855921288595,
      0.171804747587271,
      0.167270751383721,
      0.144686653872294,
      0.139915926820343,
      0.165060437852049,
      0.18609979569562,
      0.175566352095606,
      0.152608012356916,
      0.144294373048106,
      0.158287345284713,
      0.178602541757647,
      0.177514827545761,
      0.154522025335341,
      0.135859754677551,
      0.143189193207181,
      0.173277323903815,
      0.192046228985251,
      0.173914583722903,
      0.149347203770184,
      0.145207904923454,
      0.170023643767144,
      0.190391582839299,
      0.169129603608191,
      0.138267242563952,
      0.128291595645866,
      0.128798446625152,
      0.130534440589431,
      0.136286097534482,
      0.148079223640524,
      0.152977869899914,
      0.144116515059798,
      0.13760017366964,
      0.14237334124984,
      0.148327269064197,
      0.142706498189079,
      0.135976340185872,
      0.13652886047229,
      0.137531277170096,
      0.140112094772019,
      0.149117717556246,
      0.152522389437015,
      0.145443503151154,
      0.141890987454789,
      0.147534901677377,
      0.156275397302162,
      0.159954618466682,
      0.154423477813694,
      0.148579975534157,
      0.151254813080463,
      0.16233981481758,
      0.166712066441942,
      0.157392511774948,
      0.145116977998387,
      0.142151994582194,
      0.151291309884428,
      0.163536699602483,
      0.16610984652897,
      0.158037123363835,
      0.150223766855451,
      0.15159175056364,
      0.161516121179245,
      0.16508085200695,
      0.158955741050336,
      0.146742552238068,
      0.138056996267898,
      0.150802392415745,
      0.169375217024593,
      0.157951956337167,
      0.138622805355884,
      0.150126530736258,
      0.178954061837397,
      0.18313853010454,
      0.157176899792821,
      0.136363759572816,
      0.13924042085317,
      0.161320121024746,
      0.179049489124879,
      0.169423286136577,
      0.14684939815726,
      0.138128437007537,
      0.155574524220967,
      0.18304259222817,
      0.184843159606936,
      0.158587827240248,
      0.134876030964117,
      0.142610587946125,
      0.176134372545895,
      0.183748984797768,
      0.155762198952488,
      0.155828322682269,
      0.201063330192442,
      0.238898418418698,
      0.225126164003218,
      0.216828735527666,
      0.227571896358315,
      0.228944300968313,
      0.218241869311952,
      0.215508313319269,
      0.20807171951043,
      0.196805941747823,
      0.188263100276286,
      0.179129869987466,
      0.169825973081521,
      0.163035055611682,
      0.165487628306428,
      0.180367638156334,
      0.182951989885199,
      0.156339104690598,
      0.134734320846058,
      0.14498041944797,
      0.15985528605151,
      0.148334010902851,
      0.139662096387161,
      0.159708675540865,
      0.183083121483223,
      0.175650349117039,
      0.149255665788678,
      0.134987595199578,
      0.145926862009907,
      0.172175259365294,
      0.182915278358395,
      0.164339566103727,
      0.141899798888097,
      0.140881107174017,
      0.165707255204021,
      0.189471263868856,
      0.179214304425247,
      0.151864215186751,
      0.142528327952793,
      0.180611417231439,
      0.217645332656706,
      0.194963235498885,
      0.169666230970853,
      0.176497548638393,
      0.170858048905075,
      0.148854924608889,
      0.142215288127173,
      0.152561792426231,
      0.144560363115163,
      0.112808954962353,
      0.0715341139795913,
      0.0376739010504876,
      0.012975565050422,
      0.0033148570450226,
      0.000129040894168087,
      0.00910195939415993,
      0.0389861783653103,
      0.0914273009036763,
      0.138865144076038,
      0.159554819560214,
      0.162629834432772,
      0.150923518651775,
      0.15659385335613,
      0.170694863557012,
      0.169724647726687,
      0.163150517852924,
      0.168767621957357,
      0.168554579290767,
      0.151982003693587,
      0.138393394887747,
      0.145737543435717,
      0.160762329703291,
      0.164330543253838,
      0.156634474765894,
      0.152928362001379,
      0.150369026136242,
      0.149734179776658,
      0.156594605703737,
      0.159748709070619,
      0.147906383737041,
      0.13843818386398,
      0.1467517731501,
      0.161233489889879,
      0.163524824035736,
      0.163133711098753,
      0.16815491611111,
      0.164800014528587,
      0.156776966494152,
      0.163176739027605,
      0.181136650295912,
      0.182664368244173,
      0.170352065216324,
      0.16228982148393,
      0.160334418316071,
      0.16137861899109,
      0.168314053661487,
      0.172184197377223,
      0.167712351958123,
      0.163703486514266,
      0.169494248679491,
      0.178454582432022,
      0.174850861470483,
      0.16405323822023,
      0.158806274850978,
      0.155767085870046,
      0.151769712719796,
      0.156611605743234,
      0.163919459011194,
      0.160060830952235,
      0.157902096260244,
      0.163926027357986,
      0.158924378493105,
      0.144757360519632,
      0.147749677613621,
      0.167575300978051,
      0.183797200672672,
      0.174641070084458,
      0.15487972213022,
      0.150074797666415,
      0.163568374005282,
      0.177967902241355,
      0.17522331212517,
      0.156006993240208,
      0.140203504301663,
      0.147900859212315,
      0.171179944849282,
      0.186324140563239,
      0.17409942920207,
      0.15454211709351,
      0.152603955997297,
      0.175771485368072,
      0.189228548209224,
      0.168278541226232,
      0.145191206535433,
      0.139556950491428,
      0.140774473274501,
      0.13840069087037,
      0.136483550279012,
      0.143368850076604,
      0.145241503140955,
      0.135251657167686,
      0.134532185200728,
      0.148080614362746,
      0.156336913474165,
      0.150504318224729,
      0.146885317754838,
      0.150137782771353,
      0.146902203167561,
      0.142124987459699,
      0.145966679752991,
      0.148825343286053,
      0.147217969549164,
      0.14887071826213,
      0.151259770989054,
      0.155354578877322,
      0.161895013254104,
      0.156043880896066,
      0.146814263235183,
      0.146807392358895,
      0.154664093249755,
      0.159506834977676,
      0.157730274792568,
      0.150147061494155,
      0.148111915594986,
      0.155138780444261,
      0.163383234423044,
      0.163802300798261,
      0.154520837130076,
      0.145800998468841,
      0.146093358690414,
      0.151417645555525,
      0.151339702659453,
      0.152383857941231,
      0.152194664311534,
      0.151572205220966,
      0.160794656672836,
      0.168070587191955,
      0.153761375806302,
      0.142014003790772,
      0.154832571516762,
      0.178225300340371,
      0.182582117008741,
      0.161855952159068,
      0.144910213099957,
      0.150585088794359,
      0.167351696807969,
      0.174607417667095,
      0.163060754822587,
      0.145698796067094,
      0.140327355531136,
      0.155311626738149,
      0.177538871242296,
      0.182260830596874,
      0.163773768682872,
      0.143064094108211,
      0.164026417275729,
      0.214121196866915,
      0.220426638305409,
      0.170637105988899,
      0.147874989972322,
      0.184225293363125,
      0.233918726892764,
      0.225224584985382,
      0.201391577057333,
      0.204308832273309,
      0.214727631355739,
      0.215256981262668,
      0.210197602087376,
      0.197265199334897,
      0.187574863613568,
      0.183106178593791,
      0.17307502777683,
      0.161198219544716,
      0.158115048801774,
      0.164478868838144,
      0.173543370685539,
      0.168833138881325,
      0.147664688393964,
      0.135325953525941,
      0.145547350283786,
      0.155599105336629,
      0.145772684347496,
      0.14268322586011,
      0.160004467032098,
      0.17999801640607,
      0.177614548723484,
      0.157494763066805,
      0.145854653863954,
      0.155748044248427,
      0.173658225139415,
      0.177287646275643,
      0.162034115029688,
      0.145516620370586,
      0.147562398860281,
      0.168287568279464,
      0.185640508761504,
      0.178134968112828,
      0.158092856952998,
      0.155626237213672,
      0.193624357900211,
      0.219476075751424,
      0.187595234872589,
      0.165159767198044,
      0.184006124809862,
      0.203499489985187,
      0.197373068816561,
      0.174964998241993,
      0.161288273931981,
      0.149576405338871,
      0.118168634054998,
      0.0717259040172894,
      0.034217363974225,
      0.0121258066719887,
      0.00314556623051191,
      0.00014281350214582,
      0.0108227639578928,
      0.0448170665408002,
      0.102479880049211,
      0.147147325305778,
      0.15469495079604,
      0.151995371010235,
      0.144563922394439,
      0.148422220275579,
      0.157510082264462,
      0.15923903284095,
      0.164684466813796,
      0.186709823643942,
      0.197076135363875,
      0.178590882135431,
      0.16251943866607,
      0.172165207227073,
      0.18701533826571,
      0.190616146830055,
      0.184575914748467,
      0.174108946116275,
      0.157171327404978,
      0.154493004338868,
      0.174280336218685,
      0.187641379097147,
      0.176213289216453,
      0.166588313984589,
      0.176766037973728,
      0.191002739502752,
      0.193305049213696,
      0.188396379298359,
      0.183090857950669,
      0.173202701898707,
      0.169921369603935,
      0.188310116485583,
      0.214569872186541,
      0.207464027167749,
      0.181716756286075,
      0.176451656890903,
      0.186496090599979,
      0.192194656996356,
      0.195980300230473,
      0.197632775321601,
      0.189441067132805,
      0.18710600242724,
      0.201564307406078,
      0.214128438839142,
      0.197055491441778,
      0.174912106513928,
      0.174067262863058,
      0.18266423267256,
      0.17881596352836,
      0.172332802094837,
      0.172006438213753,
      0.170858992149266,
      0.175269517950232,
      0.183291952695692,
      0.174628340051738,
      0.153880278092873,
      0.154812061322402,
      0.18278712270283,
      0.208009052448922,
      0.194617863900215,
      0.164110169349971,
      0.155371570413526,
      0.178650020358328,
      0.204005342227544,
      0.198332800117791,
      0.168638098465043,
      0.146499228516196,
      0.154766688524407,
      0.190183370370975,
      0.219802212972896,
      0.201810392338735,
      0.165359024404773,
      0.153995894139784,
      0.172984561955082,
      0.191271665037827,
      0.182562438266538,
      0.166364394432135,
      0.159888939720874,
      0.161743968441829,
      0.160214227731555,
      0.161342294353811,
      0.17048568620435,
      0.164719260626051,
      0.145276871493033,
      0.143059961417161,
      0.161342064779264,
      0.175428908522878,
      0.174497931468735,
      0.172164775760841,
      0.173804626493148,
      0.169165055322207,
      0.167452009304475,
      0.173604898058565,
      0.168793624975099,
      0.159336794094858,
      0.16287799987233,
      0.172411319510658,
      0.181818826571917,
      0.186695408802966,
      0.172235691549005,
      0.156303031062187,
      0.156678889629649,
      0.169547006157019,
      0.183403977444235,
      0.185221687966708,
      0.1728554490253,
      0.166941344883035,
      0.181516546658866,
      0.196666678667331,
      0.190761851850592,
      0.167350160199583,
      0.151871815460182,
      0.15350613774255,
      0.16278464812625,
      0.167667063596327,
      0.173351170228015,
      0.180321296512547,
      0.186944932045393,
      0.19851231440294,
      0.198218543182803,
      0.173207758439783,
      0.151343895203121,
      0.164180956190378,
      0.194688580492706,
      0.202188170244629,
      0.17487134421408,
      0.150500111342774,
      0.155428065436348,
      0.183771847890978,
      0.200756514332738,
      0.185204445344358,
      0.157577784363187,
      0.144244542406058,
      0.163173614021428,
      0.201280644910145,
      0.214725153564339,
      0.183721560897759,
      0.149171489390099,
      0.163274625890389,
      0.211930965505675,
      0.22164605090236,
      0.174231387280865,
      0.143826045250249,
      0.163168577360665,
      0.205481274912899,
      0.205224196832429,
      0.184762422655954,
      0.183479825793048,
      0.193622453521369,
      0.19902373855839,
      0.197160240990105,
      0.189878209771258,
      0.187416533887222,
      0.186193662667788,
      0.172999122541536,
      0.157102268472188,
      0.158602349970056,
      0.172082909876028,
      0.17696202612225,
      0.163500711352128,
      0.148346127395026,
      0.147620310566514,
      0.162491233603059,
      0.169793504843661,
      0.154408379897417,
      0.147957568416903,
      0.172327855829167,
      0.203712900396104,
      0.20166601851275,
      0.170558260155247,
      0.150222325692434,
      0.163406551423732,
      0.191738450794862,
      0.196678331386612,
      0.174364637355121,
      0.152739541807412,
      0.151846252405762,
      0.17928544970354,
      0.211787132084989,
      0.206884032222864,
      0.171858994152115,
      0.156381261516857,
      0.174025838930631,
      0.186891194133533,
      0.16528311581519,
      0.151713084163363,
      0.162159405517891,
      0.17998259113604,
      0.178872802347821,
      0.164764147470711,
      0.160436374698292,
      0.165449641118625,
      0.139954901755037,
      0.0879902694565831,
      0.0368555571494443,
      0.0118702482950223,
      0.00250831080127174,
      0.000121849856250007,
      0.0110731692701894,
      0.0468263160731155,
      0.110140877829936,
      0.157433407828564,
      0.155095238347606,
      0.147342515556211,
      0.142788261264372,
      0.142255342455859,
      0.144808787564988,
      0.154514705406659,
      0.175737845951424,
      0.215741468188708,
      0.243165337371431,
      0.230729451304429,
      0.204137205503118,
      0.204935919639027,
      0.222364918246232,
      0.234867906256954,
      0.231788591192124,
      0.215411411351612,
      0.190462183826256,
      0.192949875917252,
      0.235751160565385,
      0.264716252395841,
      0.24096211953448,
      0.20810175804277,
      0.208557700030748,
      0.22450642543944,
      0.231398602255,
      0.225756974960791,
      0.21229537829481,
      0.192157312421304,
      0.190973128893843,
      0.222151409973707,
      0.249404307888209,
      0.225585530715652,
      0.190349876364664,
      0.192861033461521,
      0.216068503054681,
      0.228373128965339,
      0.235801051567775,
      0.240279698533485,
      0.227725866984456,
      0.222979356088023,
      0.24369237117772,
      0.25250242248666,
      0.216213089517433,
      0.184907948284992,
      0.194595401795525,
      0.219927789457311,
      0.218865738481192,
      0.209551709952462,
      0.21355431829616,
      0.211094610166054,
      0.203007170486109,
      0.210447887180824,
      0.210573794227326,
      0.188088348416511,
      0.180258213420339,
      0.205634079279195,
      0.237252947813282,
      0.229245307435043,
      0.194913570216748,
      0.178387931826826,
      0.198330803652066,
      0.224638783498904,
      0.226101114360262,
      0.202274572316191,
      0.177098110396423,
      0.177800859379854,
      0.210316319015779,
      0.243659720632687,
      0.230466242517691,
      0.191985188707966,
      0.17448997013187,
      0.199778955202843,
      0.239220677625279,
      0.240620832439857,
      0.217940165656546,
      0.199666498364918,
      0.189020883095097,
      0.185033111267253,
      0.199241140597205,
      0.222711164804794,
      0.21804428106689,
      0.191294786917874,
      0.185294514283282,
      0.210862546919071,
      0.234381270674402,
      0.231985993538608,
      0.214779830986406,
      0.200730692061393,
      0.192621061755617,
      0.20450287304581,
      0.226222155220891,
      0.220885274946587,
      0.19604614249868,
      0.188157901702536,
      0.199393223154543,
      0.21593864047519,
      0.221382706661121,
      0.205555040510117,
      0.192843045100761,
      0.198059085971035,
      0.215566908769372,
      0.241983771684235,
      0.245815491366543,
      0.216855306473397,
      0.197049763137445,
      0.214344763962902,
      0.23572580038891,
      0.229650846957676,
      0.204034801103146,
      0.190823559741846,
      0.196716614886442,
      0.207741223468976,
      0.218125514233583,
      0.224692763575529,
      0.219883817749589,
      0.212358889455747,
      0.221087359487632,
      0.226419291423275,
      0.206504277282901,
      0.181728985423918,
      0.189853785532963,
      0.222153417623008,
      0.236711268944111,
      0.209975405729382,
      0.178589423982358,
      0.176315679306877,
      0.204070896720435,
      0.229356815914869,
      0.223306718089263,
      0.195974078888158,
      0.175235606094648,
      0.188622179515596,
      0.226213986421101,
      0.244168131112707,
      0.21249115645158,
      0.169326804914698,
      0.161083559086282,
      0.185149249465119,
      0.192634112597071,
      0.164984068325891,
      0.146354809490073,
      0.158138307957536,
      0.188257072498766,
      0.189850525488713,
      0.174815236633488,
      0.172496403708653,
      0.185417522696282,
      0.201383136860979,
      0.212858370340962,
      0.217850244355638,
      0.225254541472634,
      0.230078769882934,
      0.214326766594813,
      0.193808131499209,
      0.194973231073884,
      0.213053720631662,
      0.230333086040409,
      0.226611640703012,
      0.197540184834631,
      0.174428290257899,
      0.193985254475705,
      0.222758498102421,
      0.206902293184634,
      0.180777505843797,
      0.195770610538215,
      0.230447609572909,
      0.236120150054062,
      0.204572509085515,
      0.176250862762591,
      0.183860677937191,
      0.215126365760379,
      0.229718831795163,
      0.210284769919244,
      0.182747732684192,
      0.174081141556405,
      0.197726080185146,
      0.232067648671154,
      0.232888912349658,
      0.197482364015587,
      0.168474879663565,
      0.167205805123124,
      0.176057605974441,
      0.168657877080291,
      0.15636623389969,
      0.146632284708273,
      0.137030201304815,
      0.13359896618926,
      0.149023748381468,
      0.166208399924901,
      0.16082929399013,
      0.125499097749366,
      0.078723406118718,
      0.0353723315896003,
      0.012012560021687,
      0.00226828714394368,
      0.0000570941432219032,
      0.00861690969350037,
      0.0425121301172756,
      0.109567977286608,
      0.161187667078371,
      0.156370026978795,
      0.14694962786619,
      0.143451680287992,
      0.143772057564219,
      0.148256714785276,
      0.160860284382629,
      0.175167472218163,
      0.198517311383439,
      0.224782899282837,
      0.232225361277793,
      0.214668367605558,
      0.210322252024684,
      0.228795457906054,
      0.247222067298497,
      0.245139439343216,
      0.227589240011584,
      0.207775417028768,
      0.208387702338527,
      0.237215870063535,
      0.258870324577777,
      0.242690478876639,
      0.213624208905548,
      0.212325638700025,
      0.234665097183783,
      0.249276396659863,
      0.246905248892733,
      0.229284832113723,
      0.200050461546897,
      0.18872580420753,
      0.211882141159522,
      0.235244727960876,
      0.220337796682747,
      0.201560951436154,
      0.210051498536802,
      0.227646017595451,
      0.231344709045904,
      0.239088230033892,
      0.247149619402213,
      0.233694934759601,
      0.221087485321435,
      0.237897807285662,
      0.248819161101715,
      0.221192075275267,
      0.198417366938652,
      0.210230389062586,
      0.228422612354272,
      0.223215438584369,
      0.221898613991752,
      0.239232655077567,
      0.236560982876669,
      0.212177778240265,
      0.20393219066372,
      0.20507689928697,
      0.191885575934175,
      0.183333416945172,
      0.190063296785243,
      0.209117261215359,
      0.215277171127608,
      0.201292652397984,
      0.189944440953045,
      0.195384559043546,
      0.200188035536127,
      0.202376369453487,
      0.201649496781372,
      0.192960635130652,
      0.18820328361758,
      0.197730913391527,
      0.215495591914796,
      0.214487611345677,
      0.194333841290014,
      0.191268494622669,
      0.23418863116095,
      0.268428528072821,
      0.243141162409918,
      0.212091998660562,
      0.199754333924348,
      0.190549687206079,
      0.19397929888319,
      0.21934451283813,
      0.241513861039244,
      0.228713905003278,
      0.202246445526571,
      0.203830194858868,
      0.234204885614907,
      0.251315526433339,
      0.237266410689685,
      0.212706002576172,
      0.197553763391541,
      0.198022383033717,
      0.222228278492468,
      0.243093210279829,
      0.230205688441705,
      0.203267809189881,
      0.197619315189886,
      0.210081949294548,
      0.222222476106618,
      0.218347111731883,
      0.203214555530506,
      0.204162161158384,
      0.226676675089215,
      0.24571409063837,
      0.250086150181914,
      0.238078517160199,
      0.211880557338598,
      0.20282648454949,
      0.223531288246902,
      0.238650948267827,
      0.222797422147602,
      0.20301562287118,
      0.203261131332926,
      0.224155650896104,
      0.23929143602967,
      0.240308627923737,
      0.233392815715007,
      0.214707270409635,
      0.191927835816419,
      0.192999043464807,
      0.204763594429999,
      0.19897175904283,
      0.184794513214442,
      0.183797219742786,
      0.199723147080011,
      0.217031146356274,
      0.209727957554163,
      0.189893646376755,
      0.186617463832355,
      0.197102198480645,
      0.20748836937183,
      0.210239657700057,
      0.203683503461289,
      0.191497641181256,
      0.187937372888774,
      0.199280276487502,
      0.212987451907748,
      0.202036193080975,
      0.172824796894801,
      0.161706176071716,
      0.170159613006813,
      0.170021998769877,
      0.154134024479983,
      0.153343436531609,
      0.172672997023965,
      0.194392531061479,
      0.186625464443189,
      0.172032577967563,
      0.177036627069576,
      0.196801460139209,
      0.210386952526063,
      0.216250418454109,
      0.225475307571507,
      0.241125122033363,
      0.246544110487766,
      0.228322534955957,
      0.214946037971186,
      0.225289834844142,
      0.243830544653246,
      0.253351656988883,
      0.24558761382282,
      0.212822143467983,
      0.182576899604325,
      0.198177619317727,
      0.230685591059912,
      0.219211953763422,
      0.189690426408292,
      0.186272912940939,
      0.205079981973292,
      0.217628849476278,
      0.203057651305964,
      0.183166671806315,
      0.185006527319399,
      0.19907006749601,
      0.207997120975509,
      0.205620189460308,
      0.194143759828605,
      0.187311366509944,
      0.193203566358512,
      0.208041528345944,
      0.212734846404797,
      0.198597122393706,
      0.182494330299644,
      0.1873018566654,
      0.188760875741848,
      0.167406068801469,
      0.14605448727114,
      0.13917152794979,
      0.135659286103203,
      0.145622858266845,
      0.170564233703084,
      0.18169311129811,
      0.151986777549587,
      0.104352221214983,
      0.0628885741248925,
      0.0324928296408141,
      0.0119313745836878,
      0.00236148641730595,
      0.0000276049742251147,
      0.00816346113855991,
      0.0410539476956152,
      0.106031070481383,
      0.157812253421304,
      0.165165299506819,
      0.165782303071554,
      0.16072468780429,
      0.157524946759044,
      0.154549901804705,
      0.146781683681855,
      0.141030564375144,
      0.151889714694076,
      0.173662624068689,
      0.185409717151947,
      0.178201542048474,
      0.171828338363654,
      0.177061298876217,
      0.184621231394603,
      0.184355587174436,
      0.176898323734863,
      0.168849354738895,
      0.170995630563654,
      0.189412323676648,
      0.204281504315831,
      0.193651352434147,
      0.175994653793483,
      0.170852596720483,
      0.179495197149934,
      0.188647177371677,
      0.192265236633054,
      0.183252560450855,
      0.163487443552418,
      0.156478558196364,
      0.181288834189894,
      0.207181309980745,
      0.196658106074649,
      0.181144214092386,
      0.185572677832729,
      0.19585529797517,
      0.199634285594514,
      0.208015020511519,
      0.213004214888376,
      0.20041579673931,
      0.187448048115502,
      0.198712130436171,
      0.207704557498892,
      0.19159753908372,
      0.178531373076606,
      0.187060085641729,
      0.198490407075289,
      0.19635417336995,
      0.200035561978416,
      0.218335603425215,
      0.21601025586925,
      0.189640539241458,
      0.171467473601342,
      0.166530236464523,
      0.161777056089751,
      0.162769706360657,
      0.167964135303015,
      0.177542882727488,
      0.183205841204309,
      0.181806926275853,
      0.180773449327563,
      0.180469736250489,
      0.174145198457997,
      0.16817832904913,
      0.164638110909728,
      0.161016034485952,
      0.162503176616766,
      0.172247117704701,
      0.185185059344399,
      0.183726854188615,
      0.173464510415277,
      0.180139483300175,
      0.211229920148272,
      0.216728196861873,
      0.180735570897896,
      0.154141043903314,
      0.145761309158945,
      0.138174875724554,
      0.143945162025716,
      0.168586286444779,
      0.187819116131104,
      0.179068220590361,
      0.162789037493313,
      0.166990192002865,
      0.185663791636347,
      0.190422691113068,
      0.172695558411894,
      0.15505860547523,
      0.14696254717796,
      0.152773828477637,
      0.17552924680734,
      0.191968138495591,
      0.181155705889586,
      0.163952457378915,
      0.167630187580014,
      0.187103720448837,
      0.198742639045201,
      0.18549709052057,
      0.170178697292736,
      0.171894468881627,
      0.190147489952414,
      0.204086741416133,
      0.195244394323511,
      0.172640316451023,
      0.160445850172918,
      0.168997047153928,
      0.193282890463242,
      0.205624290480822,
      0.186911242389364,
      0.1715352965318,
      0.174986177149471,
      0.194581727394582,
      0.207707612940512,
      0.201141117360899,
      0.184506421948709,
      0.169264582086454,
      0.152853738876006,
      0.155697370523314,
      0.172244727737286,
      0.174063476047792,
      0.16599832592561,
      0.165600794810332,
      0.174132555489472,
      0.180536258376842,
      0.171459364716315,
      0.161758573591591,
      0.165639389596582,
      0.17213036754916,
      0.173339374477199,
      0.170277426612974,
      0.167157536032075,
      0.165387409489158,
      0.166816252250885,
      0.173770879070867,
      0.18021114132036,
      0.173743315360675,
      0.158129593623514,
      0.154857743033577,
      0.160264847385743,
      0.157121275527405,
      0.145472391013413,
      0.154190462080617,
      0.183303281854226,
      0.203546673270139,
      0.189917228978053,
      0.176594197077587,
      0.182239973840765,
      0.193267896666135,
      0.193672350760032,
      0.187318487972026,
      0.184182590401699,
      0.19013351899791,
      0.190111068172203,
      0.174716536984108,
      0.165095061402825,
      0.174119554477261,
      0.187697288821831,
      0.191231779689995,
      0.184111701263588,
      0.16662808434645,
      0.150701668755909,
      0.156496607038203,
      0.171614667492736,
      0.169290261157787,
      0.163150242404152,
      0.166409595053048,
      0.175370136084735,
      0.176689622084749,
      0.166399320977742,
      0.161152219587684,
      0.169353045031884,
      0.175902679706192,
      0.172675590854574,
      0.165345808198265,
      0.16036941723355,
      0.162076518490784,
      0.168917822693118,
      0.178905425616963,
      0.180893021670446,
      0.171593940832892,
      0.16734112572396,
      0.184956756501325,
      0.192376694450691,
      0.165587135641196,
      0.141675577466183,
      0.147165073708493,
      0.17141677546229,
      0.190113501374457,
      0.189811971426282,
      0.17660905022027,
      0.152497554114352,
      0.111730584872526,
      0.0668390746797107,
      0.0314312365958708,
      0.0102165075947554,
      0.00217321706061369,
      0.0000206879786192729,
      0.00939615833367281,
      0.0434786416900618,
      0.103354096160587,
      0.148423180456513,
      0.164200271667308,
      0.17328892104025,
      0.166972274478231,
      0.164682168772967,
      0.158962589740639,
      0.136404896891237,
      0.119305501324426,
      0.130486577936497,
      0.151574050660213,
      0.156630189777728,
      0.145425338681517,
      0.136900673802255,
      0.136784211697387,
      0.141120041628558,
      0.143882976122816,
      0.142057103942323,
      0.138137697193556,
      0.14018862240324,
      0.157299809412124,
      0.172394870878322,
      0.163141798411866,
      0.143792289109543,
      0.134577630460626,
      0.135882051383934,
      0.140627441396959,
      0.147450868799334,
      0.148622924386881,
      0.136919909259856,
      0.132817372647435,
      0.161188097323941,
      0.187152229368382,
      0.167285956167752,
      0.138941097843498,
      0.145317919148578,
      0.173551971708753,
      0.194065139917365,
      0.195832221635577,
      0.186353610618431,
      0.168312362160203,
      0.15930909367061,
      0.16799629031471,
      0.167792511457249,
      0.147324922310679,
      0.132344197787447,
      0.144420432098921,
      0.174156744176209,
      0.191691824805577,
      0.192238363925548,
      0.192813967247534,
      0.182551715965965,
      0.16757461701665,
      0.162176843034459,
      0.15318821123845,
      0.136751674212823,
      0.138783483113019,
      0.160430335537406,
      0.178280819803155,
      0.17315331731683,
      0.158590466081176,
      0.152757904796544,
      0.160483511344316,
      0.170080333106252,
      0.164398863644776,
      0.146624667941093,
      0.133849459941385,
      0.143345489701366,
      0.171137314731767,
      0.190969579946997,
      0.176634745254282,
      0.155500741828051,
      0.153529820450459,
      0.168117608839772,
      0.164676460165344,
      0.139571817109194,
      0.123820982621346,
      0.1172296949058,
      0.108950356668542,
      0.111160062530283,
      0.130381922924527,
      0.150625506652291,
      0.149218808409319,
      0.135679027163314,
      0.133947778290142,
      0.148513557328753,
      0.157554730910395,
      0.144483410498936,
      0.126435364542139,
      0.116215072017204,
      0.119400600937085,
      0.137612804728722,
      0.155703973391002,
      0.152576445701352,
      0.140445208058445,
      0.142296233160346,
      0.165379834488272,
      0.181812926961093,
      0.166027246218139,
      0.14681231997859,
      0.1454395626482,
      0.155144454745328,
      0.168600008035217,
      0.171467441605343,
      0.154629337455248,
      0.138848190333025,
      0.136455333846078,
      0.156180469893221,
      0.177683461440481,
      0.167634729626935,
      0.147800570791151,
      0.145130071995121,
      0.156840867517875,
      0.170642491502761,
      0.174548480285454,
      0.165312535066849,
      0.152885813360068,
      0.140888193068788,
      0.149746312759459,
      0.167543746538632,
      0.158371198495495,
      0.140673094105009,
      0.151250467894611,
      0.175685826901123,
      0.178280733460173,
      0.155744171252063,
      0.138186102401014,
      0.143074992114418,
      0.161417808962621,
      0.173186187677338,
      0.16200982066507,
      0.143448119927529,
      0.137113894201411,
      0.154136600229962,
      0.179503273717997,
      0.183414320564975,
      0.162575498596145,
      0.141548663920413,
      0.141353263504859,
      0.154102688763108,
      0.152942568267567,
      0.136939928753883,
      0.148945658988127,
      0.190144427781448,
      0.217368484614267,
      0.202544602928888,
      0.1896528292508,
      0.190372430115469,
      0.187619865335583,
      0.179920446764083,
      0.174045195948536,
      0.1666003101594,
      0.162890843106983,
      0.159732613748478,
      0.147823137285425,
      0.139005605651579,
      0.144156140802314,
      0.156381219803316,
      0.165456401519037,
      0.161445022712563,
      0.144759218515611,
      0.135217094566316,
      0.145966666467555,
      0.155315664428414,
      0.143650790460189,
      0.13994376354423,
      0.15991673167697,
      0.179504629060896,
      0.170117011809499,
      0.146089041480922,
      0.135987821538841,
      0.150501959118303,
      0.170695024295313,
      0.171033427038894,
      0.151194338688113,
      0.13546346125383,
      0.140299433920308,
      0.165070147755861,
      0.187537683889565,
      0.179657664023487,
      0.156383047967687,
      0.147438205279171,
      0.170601697121275,
      0.186964090648961,
      0.159186070883659,
      0.133556757745739,
      0.136127518711809,
      0.149956364102865,
      0.155835805002098,
      0.156032202559201,
      0.155857848919242,
      0.154898813561144,
      0.126940520017649,
      0.0781709913605498,
      0.0324745664694273,
      0.00959552861796041,
      0.00210960972915795,
      0.00000870165242987307,
      0.00930665166965653,
      0.0419359552942346,
      0.0958228695671507,
      0.137596226566722,
      0.151439559179398,
      0.153076515801187,
      0.143953021894871,
      0.147349674376111,
      0.149058037680759,
      0.134545546091596,
      0.126052518324427,
      0.142535228316005,
      0.155421164648632,
      0.142786881824354,
      0.126793118163381,
      0.128248505351709,
      0.136868013006472,
      0.141066812420665,
      0.140636008548921,
      0.135839421321517,
      0.127698196055462,
      0.126637290750271,
      0.144323012313537,
      0.155938611231272,
      0.14178424952389,
      0.125050328476524,
      0.127550166956714,
      0.136332928003025,
      0.138636411194165,
      0.140721037511541,
      0.142372056883891,
      0.131676139054354,
      0.124006689655398,
      0.141149613259386,
      0.159620615535371,
      0.144969791978404,
      0.122063089568954,
      0.126254128041822,
      0.151423731295582,
      0.170669151909797,
      0.170484650372225,
      0.161694965044304,
      0.152059931213411,
      0.148982630114124,
      0.153141766961348,
      0.149088497410128,
      0.131698434571366,
      0.118082978796712,
      0.127636772504809,
      0.15509716041356,
      0.172160445305957,
      0.169221240890396,
      0.16129421589565,
      0.14807237007149,
      0.139939857357669,
      0.147233761001972,
      0.14676549133622,
      0.127662313878633,
      0.121879033752277,
      0.142883877616386,
      0.166570914587818,
      0.163848638745068,
      0.144661066372678,
      0.131546260669951,
      0.138418749755288,
      0.156330823269889,
      0.1596585835532,
      0.141341503342072,
      0.120891897369479,
      0.125816919323342,
      0.15577142032277,
      0.177333879221019,
      0.16236228820637,
      0.138982111196237,
      0.131007646476212,
      0.14512667328731,
      0.154105913751631,
      0.137268470431405,
      0.120373966600269,
      0.113009774944061,
      0.10744864931045,
      0.110597589439488,
      0.12580385907951,
      0.14361124689599,
      0.144396019808159,
      0.128627225657858,
      0.118520319897326,
      0.130211090834331,
      0.148202816785766,
      0.143628899116117,
      0.123556547545863,
      0.112307610497391,
      0.116283934567238,
      0.13000619316457,
      0.14690283588951,
      0.147722464782908,
      0.133484062680978,
      0.128027002085873,
      0.144263924402331,
      0.157968822708096,
      0.148419432666977,
      0.132406635711995,
      0.129929727761693,
      0.138583169667542,
      0.152259532899913,
      0.157627166319985,
      0.146637536190363,
      0.131961843815911,
      0.127676513129588,
      0.143648941749392,
      0.162543120265238,
      0.156032837050038,
      0.137492042535986,
      0.133884870850156,
      0.143211242106195,
      0.156014951137783,
      0.160742659475008,
      0.15605192004776,
      0.145314911738992,
      0.135366795545398,
      0.142954425369123,
      0.157360347136666,
      0.145208314015028,
      0.123453413468588,
      0.130100748409272,
      0.158595950782335,
      0.169022052082448,
      0.148862406118279,
      0.126313414639364,
      0.124415720295421,
      0.141696127743631,
      0.159365792779461,
      0.153379301029786,
      0.131933109912473,
      0.119089857145647,
      0.133889011055655,
      0.162078660901228,
      0.167943369913743,
      0.147237670634783,
      0.125407765503628,
      0.12601170810979,
      0.148727329095847,
      0.154970588426677,
      0.134463798153398,
      0.13928002505571,
      0.179402592290622,
      0.210787234847298,
      0.204138959223491,
      0.200163179848395,
      0.201236703107058,
      0.187057844504005,
      0.171392491972874,
      0.169224626031151,
      0.167598057973433,
      0.165999265959942,
      0.163803682065225,
      0.152797882482367,
      0.144946086384737,
      0.145527329370908,
      0.152838477731933,
      0.166749665844112,
      0.167128660974329,
      0.144278545668299,
      0.129919277829292,
      0.144784448374648,
      0.158990443834323,
      0.140613023137614,
      0.123775117779138,
      0.138988252709357,
      0.164680210392762,
      0.162898214216093,
      0.140422461347867,
      0.123701368037776,
      0.129054648728787,
      0.151203504571187,
      0.16440773375203,
      0.150757092132912,
      0.127532954955745,
      0.124241305688501,
      0.148727242677348,
      0.173156833489944,
      0.164708570887366,
      0.141565874614712,
      0.136434142325952,
      0.172804289710043,
      0.199253776710901,
      0.164406129077057,
      0.12230953650318,
      0.109937083880614,
      0.105629274482228,
      0.114744805711647,
      0.133084846086647,
      0.142574766379454,
      0.135346080546989,
      0.109983061791724,
      0.067928048888926,
      0.0300329696966719,
      0.0102908906910157,
      0.00259806306901995,
      0.00000153725801848268,
      0.00873168822643693,
      0.0395042664870493,
      0.0923874358235316,
      0.133580774145523,
      0.138350379694968,
      0.129278976803196,
      0.119538542633614,
      0.125663254734496,
      0.13596440900806,
      0.138035202433297,
      0.149421418043755,
      0.177547797555991,
      0.177965117775913,
      0.141008641707603,
      0.11635960376122,
      0.123422217047239,
      0.138537710943151,
      0.145166976663597,
      0.143545215422568,
      0.138508168028365,
      0.128611338869221,
      0.127787020719141,
      0.14648344888067,
      0.152034973684087,
      0.13043448767614,
      0.114211586724687,
      0.124103363948945,
      0.139980441349017,
      0.144897807770221,
      0.143167518878612,
      0.142391132945447,
      0.134801557691809,
      0.128165286948966,
      0.136340009111317,
      0.151431576146565,
      0.149879122214104,
      0.138666987590073,
      0.134849950161313,
      0.138783026081101,
      0.145914996795132,
      0.152747107117159,
      0.153745387640583,
      0.15158028379962,
      0.1484529524977,
      0.148973504703033,
      0.149153459613767,
      0.141896640814287,
      0.133177722509052,
      0.132558225436996,
      0.138682466632086,
      0.143404624012348,
      0.147774387478396,
      0.148782017000899,
      0.138036148576789,
      0.12868923832629,
      0.13802092554268,
      0.143066182907735,
      0.128780593767951,
      0.123887298283176,
      0.141727373410025,
      0.163237924462481,
      0.159313459990142,
      0.139815010161842,
      0.130158110786394,
      0.141882227309785,
      0.160806552737598,
      0.162228405089866,
      0.145426895874443,
      0.126391287886135,
      0.127898541715491,
      0.151918174155903,
      0.172277768011811,
      0.16026934723926,
      0.137584295238714,
      0.131064959779221,
      0.156046911552962,
      0.176863799029364,
      0.155411596775722,
      0.128496225273468,
      0.116802030455097,
      0.111463395461089,
      0.117062003786832,
      0.13349196679569,
      0.149888199238339,
      0.147081283760889,
      0.126224396592534,
      0.116606879469051,
      0.134112599010001,
      0.154857966458843,
      0.149910665869208,
      0.129230961375133,
      0.118845759858726,
      0.12361299281706,
      0.136044122009572,
      0.15038018988121,
      0.149809937259058,
      0.133235906990267,
      0.12571811390121,
      0.135771522103215,
      0.146661739184035,
      0.147153941546235,
      0.138439433294925,
      0.135276321874028,
      0.142313676479892,
      0.149982952306047,
      0.149458906933054,
      0.145078007302032,
      0.137001429036012,
      0.135541935021687,
      0.143482519970312,
      0.149545357322028,
      0.145503053592575,
      0.137927446293686,
      0.138593639442988,
      0.147421498088033,
      0.151020197579311,
      0.143133083129908,
      0.139107102710391,
      0.133939845207047,
      0.127541935135534,
      0.13531107591863,
      0.150608188327347,
      0.142249997830971,
      0.123861020303755,
      0.128590607372922,
      0.15346196384801,
      0.162317502302258,
      0.145619303701107,
      0.12699877266201,
      0.127734940284409,
      0.144150063958449,
      0.159302345694655,
      0.153902002487761,
      0.135380822000402,
      0.121775094779557,
      0.132541992986948,
      0.159283706429711,
      0.166365239698361,
      0.14584708821092,
      0.123200868134072,
      0.13696645472563,
      0.179977909646726,
      0.189709365262337,
      0.151506788272245,
      0.13870694398559,
      0.168180545563054,
      0.202383018359339,
      0.200442565334133,
      0.193860973531867,
      0.192951377939947,
      0.17929421168181,
      0.167369888833711,
      0.169218373439815,
      0.168183325919935,
      0.16577732340713,
      0.167649200943585,
      0.157188716303933,
      0.143514236722191,
      0.138841914529256,
      0.145084048213279,
      0.16105139422928,
      0.163083743091884,
      0.138009336271125,
      0.119543497586566,
      0.132905698965585,
      0.15164058301611,
      0.140478932771704,
      0.124376693666465,
      0.134199191097782,
      0.157310465746852,
      0.158930910911469,
      0.140053682489097,
      0.12463637371503,
      0.130225830389582,
      0.150093483999795,
      0.159569644441051,
      0.148878455368753,
      0.131798414956141,
      0.128930172103637,
      0.147109043287344,
      0.168282044083575,
      0.162851754616185,
      0.141941351180829,
      0.133558385023201,
      0.172691686089174,
      0.209618650477025,
      0.177281447452681,
      0.134691475102865,
      0.131303653650088,
      0.131191653758383,
      0.134146449044535,
      0.141910832836635,
      0.142982328869799,
      0.127472565251902,
      0.100654812429434,
      0.0614234637586869,
      0.0284521914181764,
      0.00976041653861501,
      0.00257812135262311,
      -1.04963562814803e-17,
      0.00710072137065074,
      0.0345518326673764,
      0.0869628175340291,
      0.130350240442057,
      0.135455640827813,
      0.131603731086979,
      0.124631442771314,
      0.123237842509368,
      0.129179329906735,
      0.138149143529548,
      0.155533573812849,
      0.180480617538341,
      0.178595272462529,
      0.147581906133593,
      0.127927197823121,
      0.135845829838848,
      0.152000810267207,
      0.159921296209572,
      0.159455860743476,
      0.150850642205437,
      0.133624754324323,
      0.130651020174315,
      0.147129669027152,
      0.152682373410503,
      0.138117826486976,
      0.128249891087222,
      0.13814953712981,
      0.154075037315667,
      0.159839606913567,
      0.157368810907774,
      0.154601639121922,
      0.145870005286415,
      0.136815756646538,
      0.143768760467075,
      0.164401916943613,
      0.166937390875916,
      0.156615197415462,
      0.156541620321135,
      0.156885318829512,
      0.154049365569789,
      0.158735011298213,
      0.166861189046271,
      0.166143187781382,
      0.157912558398871,
      0.158926710700488,
      0.16696985119618,
      0.159698153315732,
      0.150398375503354,
      0.152984224497167,
      0.152595115858668,
      0.144151039624576,
      0.144562506876873,
      0.149913315573626,
      0.145667021539862,
      0.141681929204427,
      0.147697101410299,
      0.146041142411702,
      0.131883315964308,
      0.134435743194874,
      0.157517479375727,
      0.178596913779448,
      0.166458251545937,
      0.137996451588576,
      0.126321666093814,
      0.144864404884627,
      0.168098554149245,
      0.164586523612856,
      0.142160463309185,
      0.124978328950733,
      0.134312051931507,
      0.164269776247595,
      0.186562464063771,
      0.167828223393273,
      0.136229189353584,
      0.127600588899508,
      0.157311973888885,
      0.184609905870126,
      0.166418967560219,
      0.138955355332744,
      0.127385199728386,
      0.126536229189642,
      0.135868348999063,
      0.156954260809543,
      0.174365185823306,
      0.160258870929322,
      0.127036843313009,
      0.11951170715129,
      0.143007747262177,
      0.160645642398456,
      0.153732155772432,
      0.140291311699204,
      0.136645574350945,
      0.144069541349151,
      0.16228528342514,
      0.177193849427593,
      0.16546406799521,
      0.139408535040023,
      0.13147799008115,
      0.139961930502967,
      0.150385648810352,
      0.154151504730368,
      0.143723285610359,
      0.13667053338743,
      0.144884651060475,
      0.153246837186482,
      0.152909081905511,
      0.149203842385326,
      0.139783797347985,
      0.141416124649464,
      0.156676807305342,
      0.164965981683872,
      0.156888620821528,
      0.143191001252585,
      0.137154999287738,
      0.144806979909766,
      0.149524639928026,
      0.143511715896334,
      0.141732155778984,
      0.139393971440662,
      0.137049936082825,
      0.148303438151591,
      0.16013847107585,
      0.147149496126764,
      0.131249946918241,
      0.141629894095138,
      0.168729678173351,
      0.175387487839295,
      0.151744062376705,
      0.126991790226233,
      0.126778059661011,
      0.147133209220596,
      0.162608666611129,
      0.152888823126193,
      0.133028087628528,
      0.126681556150607,
      0.147953804780544,
      0.179913178338755,
      0.183301710435952,
      0.152999847975195,
      0.124169554360315,
      0.153580425567597,
      0.219524975024583,
      0.230126259899405,
      0.173483525534105,
      0.146125887228216,
      0.167355266235661,
      0.204869570154804,
      0.200471793936459,
      0.178502653729071,
      0.167552814794732,
      0.159396024805459,
      0.157441597253955,
      0.16262858609213,
      0.162626371603815,
      0.162797395193232,
      0.166401428795067,
      0.154925248307992,
      0.13947533002182,
      0.138923441465104,
      0.14868063302845,
      0.155991316357111,
      0.146535749350241,
      0.125222496969808,
      0.116385687021502,
      0.129201706870915,
      0.141059558825192,
      0.132424025153555,
      0.131421258994981,
      0.154226840292168,
      0.180530546623491,
      0.173721093830723,
      0.144561998887953,
      0.124141719497813,
      0.132819987645526,
      0.156550830784119,
      0.163696078985361,
      0.147577817633826,
      0.129736193779527,
      0.130847288914398,
      0.154950350344302,
      0.181149819676612,
      0.173569228351567,
      0.143474307815681,
      0.126988753568587,
      0.156887627634031,
      0.19259443659494,
      0.170747248741543,
      0.147727584801963,
      0.155222144380377,
      0.164640798304141,
      0.166642219089906,
      0.166230325633992,
      0.156454511244298,
      0.143091170505706,
      0.113941801376579,
      0.0685065578630542,
      0.0281391566842373,
      0.00825727696103801,
      0.00201625965243009,
      3.49878542716011e-18,
      0.00587624203577492,
      0.0353538570281751,
      0.100701151663377,
      0.162519841324898,
      0.179522864939334,
      0.186895288072664,
      0.180937234181912,
      0.173794390469658,
      0.168819954860898,
      0.162645049030929,
      0.157843415537945,
      0.166773189374406,
      0.175903334452724,
      0.171836680181996,
      0.158451628534642,
      0.163031871578371,
      0.183483381817211,
      0.197057303470869,
      0.194908278097724,
      0.178987841656046,
      0.155913915474238,
      0.150868990615419,
      0.172724516433383,
      0.190515789998911,
      0.180348593431557,
      0.16275568305092,
      0.166001609959576,
      0.184611358794144,
      0.195490095514044,
      0.193515776182269,
      0.186344947123595,
      0.172756566086591,
      0.166566842611482,
      0.192026125260531,
      0.219832151944464,
      0.199942214835376,
      0.171301637202093,
      0.176542897472554,
      0.185607143129749,
      0.183612881986492,
      0.189788909379326,
      0.202341695749605,
      0.198130025447409,
      0.191896555143586,
      0.207074158514976,
      0.215381526711116,
      0.185128649764894,
      0.163310554109929,
      0.173319203770954,
      0.181342496720292,
      0.168552983383989,
      0.163225087920929,
      0.174797899002198,
      0.182779527008096,
      0.186978051971844,
      0.198984005221325,
      0.19283787485168,
      0.160546496319293,
      0.146417550088175,
      0.166021293805938,
      0.193539657953228,
      0.188091754298276,
      0.157641364440757,
      0.14193393880732,
      0.156616584756706,
      0.176574317638442,
      0.179772343157705,
      0.164633026376336,
      0.145581558070963,
      0.146985407190858,
      0.172609912218397,
      0.20164162354664,
      0.190334808541264,
      0.154129073823084,
      0.136296189337976,
      0.158506799582687,
      0.193077232342632,
      0.193777910239975,
      0.171563707450234,
      0.156375646610432,
      0.1539579409019,
      0.160068185522124,
      0.182765397656444,
      0.208086808855378,
      0.193394992730063,
      0.153981042809077,
      0.146127848990641,
      0.171352206521001,
      0.190556670946005,
      0.185418794337426,
      0.173047471611787,
      0.16605964829091,
      0.167279441520671,
      0.187006757694411,
      0.208518011410806,
      0.195244534203909,
      0.16711090940688,
      0.161790664187881,
      0.178028540312976,
      0.199941989085067,
      0.201730731456702,
      0.174618484231305,
      0.155102339290312,
      0.163899521232145,
      0.184573460522199,
      0.20181111991035,
      0.195434430761795,
      0.171321822658466,
      0.165461188204051,
      0.190744117094079,
      0.210396748162346,
      0.197446226640906,
      0.168478326676073,
      0.153452841428578,
      0.163854563972191,
      0.180083217061521,
      0.185539178329714,
      0.179036894430978,
      0.16962733326907,
      0.168760941771819,
      0.187996149776548,
      0.197497544177606,
      0.173993770539185,
      0.146485942643609,
      0.152801014878177,
      0.181407142859929,
      0.196896784725156,
      0.175262462319139,
      0.146458420090918,
      0.142955796864817,
      0.163340537750744,
      0.183554414038954,
      0.181027351644327,
      0.160834061105402,
      0.143935592185521,
      0.154761483940487,
      0.185111761524922,
      0.201321631580354,
      0.175072902471876,
      0.138111371752051,
      0.145129121440732,
      0.191968632773891,
      0.205830304422873,
      0.164813196438595,
      0.14466886830541,
      0.166648004131234,
      0.198984784415972,
      0.191451883172507,
      0.170143283053973,
      0.161164825500008,
      0.162147017129681,
      0.167959026516526,
      0.177040489000683,
      0.181456494854964,
      0.186524592601815,
      0.192623067597168,
      0.181181025118353,
      0.161429057920868,
      0.160785888963411,
      0.176330519697738,
      0.188252713857783,
      0.179845406150238,
      0.156104489609586,
      0.145715944162181,
      0.172172294991545,
      0.196563213543049,
      0.173732931858586,
      0.14656480761852,
      0.158830296994637,
      0.189758343158869,
      0.195389642626633,
      0.166996371749073,
      0.141191770657825,
      0.146236133601154,
      0.168557071003236,
      0.180096039271858,
      0.169008025571993,
      0.149848876381435,
      0.144228552026091,
      0.164528598381052,
      0.1952975569211,
      0.196652891615166,
      0.164170411911371,
      0.142884113609827,
      0.158215723208722,
      0.171297496735552,
      0.15066661304472,
      0.140832164876597,
      0.145697104629538,
      0.145869869860515,
      0.138329734519601,
      0.14273835981066,
      0.151646418005623,
      0.150280619517322,
      0.118335436193474,
      0.0698999956873956,
      0.0272687698111444,
      0.00768528691838108,
      0.00141055366130321,
      -6.99757085432021e-18,
      0.0142487775450934,
      0.070822333103599,
      0.171263867678854,
      0.245240933909653,
      0.250362741166579,
      0.24225139699673,
      0.221979721807269,
      0.219557594507952,
      0.217504801690862,
      0.201718061035274,
      0.182358189273928,
      0.190655393931762,
      0.213314783507998,
      0.220352448653433,
      0.200290349815836,
      0.199795602353549,
      0.223328214761256,
      0.237570273582382,
      0.231411109638925,
      0.220611261074748,
      0.208575910580329,
      0.203829190016789,
      0.226604271440614,
      0.249923769786785,
      0.236026910491601,
      0.203985285218438,
      0.202917219415222,
      0.22494659949067,
      0.233533841773274,
      0.228019400999815,
      0.218657804202147,
      0.199655269375865,
      0.190968064647332,
      0.224259455742796,
      0.256600139548019,
      0.229497513526571,
      0.190695043832812,
      0.195722835386928,
      0.218791468501173,
      0.228064356311794,
      0.234772398397035,
      0.233472491966868,
      0.212656914570065,
      0.207784164385281,
      0.236133983266587,
      0.246953797637845,
      0.210015714267399,
      0.181281802391581,
      0.193240987624508,
      0.217118307787263,
      0.213911624448414,
      0.207086172120384,
      0.22138220190992,
      0.229992732032457,
      0.225704203599291,
      0.234071843725987,
      0.231489442074579,
      0.200627329307904,
      0.186953606351823,
      0.203133155974523,
      0.222833356904941,
      0.21488478953281,
      0.194940385047597,
      0.191638458650096,
      0.209220253361246,
      0.218186634987309,
      0.212713906650757,
      0.199013040241803,
      0.182828146022895,
      0.184634498413383,
      0.207778056278813,
      0.227493620127394,
      0.210984734015909,
      0.185193329987625,
      0.18206866840874,
      0.220254136795728,
      0.257312211684355,
      0.24311792624345,
      0.211330088623591,
      0.198320255792759,
      0.193314797516374,
      0.193695808655639,
      0.212893105149193,
      0.23628531862753,
      0.226157844223177,
      0.19418531707611,
      0.186485485935686,
      0.207524042150932,
      0.228502474565023,
      0.225099050598895,
      0.210471454066774,
      0.200274901682765,
      0.199161564630622,
      0.216994306115118,
      0.236921883962648,
      0.227723879434386,
      0.207755099664195,
      0.202792089280554,
      0.218473568617346,
      0.247961164885369,
      0.248402359099369,
      0.210194527912261,
      0.188732084835023,
      0.20330481130465,
      0.229914960287098,
      0.250442212112345,
      0.238659560450974,
      0.20728234321303,
      0.196391830965519,
      0.220109202123511,
      0.239574564206753,
      0.226626405360347,
      0.198083715641747,
      0.186441355875341,
      0.202827048373034,
      0.226728140177338,
      0.238707619498148,
      0.228794470291572,
      0.210772544150704,
      0.203679627557817,
      0.224453506411481,
      0.235673522331829,
      0.214436015621292,
      0.187869876497142,
      0.193761990318138,
      0.218118064269261,
      0.231474555854208,
      0.212997350458538,
      0.18939080090124,
      0.193422937266469,
      0.215573716779136,
      0.226633190789743,
      0.214459612019603,
      0.195753299065457,
      0.181261841093942,
      0.188166308071587,
      0.208755645008722,
      0.217118253282236,
      0.197516039562348,
      0.172640563190196,
      0.170531983368755,
      0.182028343821108,
      0.173663627206952,
      0.143935772043139,
      0.139704338096516,
      0.16442120259376,
      0.18918086450536,
      0.181706545438728,
      0.168184312271635,
      0.168153203170819,
      0.181171229796869,
      0.194577007755399,
      0.209016819271912,
      0.225932785058248,
      0.241800980176149,
      0.247367220544583,
      0.233910704343091,
      0.217656721191015,
      0.221358160367344,
      0.241772430919855,
      0.259765199182191,
      0.253298573052053,
      0.217208402026583,
      0.188766340754201,
      0.220609148585041,
      0.261128113480107,
      0.231655434822994,
      0.186803323134403,
      0.191581345138587,
      0.217534554676277,
      0.222826383490078,
      0.202241083385643,
      0.186452783551183,
      0.201689356723342,
      0.22292269991578,
      0.223996214551897,
      0.206495239932652,
      0.188209513314755,
      0.184784905567546,
      0.203443955966537,
      0.223963367727754,
      0.216230620331777,
      0.189875918566051,
      0.172302393766338,
      0.175541054144308,
      0.17541063053473,
      0.159546477709263,
      0.13907852039649,
      0.126246083277649,
      0.11935869790233,
      0.115640697933039,
      0.123059889693541,
      0.137265467346285,
      0.12994342695571,
      0.0964192898301655,
      0.0572319365551149,
      0.0253745115010818,
      0.00785035903385081,
      0.00113926948072944,
      2.09927125629606e-17,
      0.022798194004392,
      0.0990398802214524,
      0.204468638146441,
      0.24790460803354,
      0.22942671404916,
      0.208074057296644,
      0.17865828047821,
      0.177449835095468,
      0.18094013442313,
      0.169866726553133,
      0.159595846862322,
      0.176645854078609,
      0.207104724973948,
      0.215900075230486,
      0.194679046422316,
      0.184934685610545,
      0.193906790160992,
      0.199789647735397,
      0.193711759075091,
      0.19065222192662,
      0.191811605261754,
      0.19773956995221,
      0.2213562145953,
      0.241475984704022,
      0.224646141224388,
      0.193459950319151,
      0.1881363692287,
      0.200539520657818,
      0.203302073530437,
      0.19756023001119,
      0.189329358521422,
      0.17435889929641,
      0.168880081795987,
      0.189622038670878,
      0.2157330677854,
      0.203792044058215,
      0.179944877244034,
      0.187200854635424,
      0.213757232490517,
      0.223975054721742,
      0.227750200033399,
      0.221207400957106,
      0.194974247133387,
      0.18466587485984,
      0.207371983879798,
      0.223467906593383,
      0.199147187830402,
      0.174315056509971,
      0.187822865266143,
      0.220219352794904,
      0.221054502791793,
      0.208599143024667,
      0.21289275179143,
      0.209305793823942,
      0.192624007006704,
      0.185889846761659,
      0.185354843967603,
      0.176884810193098,
      0.186803042622782,
      0.213908445415408,
      0.223395843187711,
      0.19393978346382,
      0.171208289685058,
      0.176603091163805,
      0.204798686764785,
      0.21493944744009,
      0.188745188344917,
      0.168250849247425,
      0.168163863608601,
      0.186786338704024,
      0.216372981188206,
      0.224750129117645,
      0.190564842228909,
      0.166977019254585,
      0.176452528824871,
      0.227594604553593,
      0.25571253021812,
      0.211171252492029,
      0.168143787008278,
      0.164444692183602,
      0.169493467598764,
      0.179010287280383,
      0.198621527666897,
      0.213560806967817,
      0.2082364323855,
      0.188471946408607,
      0.182268676016289,
      0.192732766480937,
      0.200501327789327,
      0.189914221932438,
      0.179859127942721,
      0.179617143089278,
      0.185945601716512,
      0.200990657426953,
      0.21291271654616,
      0.208135724318718,
      0.192428319628071,
      0.183201082477405,
      0.188544791625011,
      0.206331870572024,
      0.206161739245322,
      0.18635055832232,
      0.180059437017764,
      0.196821681734447,
      0.214655959899913,
      0.21327878746783,
      0.192972297425367,
      0.173161283606473,
      0.174159275685055,
      0.197461238471043,
      0.213187851170299,
      0.199617318388791,
      0.180694963951165,
      0.179530848953253,
      0.198433359082211,
      0.215014331960774,
      0.213155098053448,
      0.20312865345607,
      0.193971375679656,
      0.187972404907811,
      0.20024801971997,
      0.211729709577063,
      0.197269194824422,
      0.180174954059697,
      0.196625893072804,
      0.224881758740669,
      0.218979208675169,
      0.185325713277767,
      0.167131058391703,
      0.181267664453306,
      0.208479904108915,
      0.209306538433473,
      0.183143861638071,
      0.171670276127711,
      0.176604665093967,
      0.198963930932571,
      0.221598918068826,
      0.209254263065657,
      0.175614477139049,
      0.156596186095604,
      0.164356160148456,
      0.177889188307749,
      0.166068244068398,
      0.13486832022942,
      0.133206461291275,
      0.166296412754106,
      0.202570926024131,
      0.193952604521738,
      0.172538308636728,
      0.170975273416833,
      0.18094234701121,
      0.184600928275716,
      0.187566916805967,
      0.202818220283158,
      0.22284585671817,
      0.221446878961256,
      0.202064235481506,
      0.192186530390994,
      0.200817895007472,
      0.21841656599804,
      0.22678753456726,
      0.21592761632411,
      0.188759422656734,
      0.164064567155719,
      0.171575243787467,
      0.194241150603595,
      0.189161049268835,
      0.182183664543225,
      0.205439340786928,
      0.227419954071963,
      0.20815414367257,
      0.175544481759287,
      0.165546740371678,
      0.192950214669491,
      0.220150430581297,
      0.205734472316228,
      0.176588219956082,
      0.169555858661689,
      0.18176714437259,
      0.207827965926363,
      0.221949141728049,
      0.195890106133087,
      0.168303227163487,
      0.162660447469049,
      0.176110195933693,
      0.184316978172568,
      0.162948662204763,
      0.136648214268188,
      0.130230061991507,
      0.131957305908594,
      0.132527534232763,
      0.141929961998349,
      0.147339490060475,
      0.125683850430044,
      0.0874404405066702,
      0.0523855097333553,
      0.0248691518907622,
      0.0075702777564277,
      0.00111796880759842,
      2.09927125629606e-17,
      0.0147793890406,
      0.0657103279558766,
      0.13706528551373,
      0.167419165454446,
      0.153634933651919,
      0.138885600086907,
      0.122223044719854,
      0.119122200849755,
      0.118980230061334,
      0.116825015265761,
      0.121328948000837,
      0.141932187835231,
      0.163546218348641,
      0.163755818274195,
      0.151007576424964,
      0.142321612848491,
      0.138785105173962,
      0.1398777613356,
      0.145285146685336,
      0.146291776534106,
      0.140993264588127,
      0.142689278685074,
      0.164305613528468,
      0.182878580068581,
      0.170476058279472,
      0.14895863197894,
      0.138980027366293,
      0.138460759944096,
      0.142861222518425,
      0.149404935182835,
      0.146717742702716,
      0.132764860204312,
      0.126547209799784,
      0.140961437927393,
      0.163598102527465,
      0.158476342300582,
      0.140666956685636,
      0.144144885302004,
      0.167187878493557,
      0.181478423167553,
      0.188173817446585,
      0.185197505527899,
      0.164089833965135,
      0.149776343873806,
      0.158814687933562,
      0.170210355851489,
      0.156395105732284,
      0.138152084892978,
      0.147920264703797,
      0.176721807263926,
      0.184586755858678,
      0.180837447952477,
      0.182773935938531,
      0.168724921639598,
      0.151024733606999,
      0.15089844369149,
      0.149640880469892,
      0.137568621875807,
      0.139847868516846,
      0.156673316680143,
      0.167586410838414,
      0.15477031559756,
      0.139248780568815,
      0.138656014488829,
      0.154403318048334,
      0.163807026284425,
      0.149901352579476,
      0.132075008067247,
      0.127195032078185,
      0.137854357736403,
      0.158887576250664,
      0.171177984830527,
      0.152713568473858,
      0.133637570506383,
      0.137027696593635,
      0.166510082444154,
      0.178976847319651,
      0.147849709800843,
      0.121314430141094,
      0.12092304438349,
      0.122497067824462,
      0.124101248352766,
      0.136129044982693,
      0.155506607897308,
      0.165193739638803,
      0.160311307573983,
      0.157708461075709,
      0.160945917272943,
      0.154513541798791,
      0.137016683191632,
      0.130450108456186,
      0.130168034125845,
      0.131286378916246,
      0.142017141901875,
      0.160092794231829,
      0.166902531620637,
      0.158064617763306,
      0.150193773431216,
      0.148960129830544,
      0.150476437242326,
      0.149577590140119,
      0.150744129558387,
      0.152408070696796,
      0.157733027978698,
      0.166095244822144,
      0.165856491525352,
      0.14948529165496,
      0.136006293235708,
      0.136068931448109,
      0.15293909538276,
      0.173292379782234,
      0.169776819038618,
      0.156776655997909,
      0.152271506370274,
      0.15752172705505,
      0.165828512830904,
      0.166366599513417,
      0.159512988611257,
      0.153473469046475,
      0.143329194633697,
      0.149170463685404,
      0.166800421796573,
      0.158807988714218,
      0.14190275763517,
      0.15034399531251,
      0.170384088918544,
      0.168443785954313,
      0.144585435164409,
      0.128891567128783,
      0.135189796782544,
      0.152424678606496,
      0.158977754894158,
      0.145060693125565,
      0.132228346931368,
      0.13276602997402,
      0.147703827242278,
      0.166871119936297,
      0.163936703777586,
      0.141003769131596,
      0.124109085037133,
      0.134094123838048,
      0.157166826878377,
      0.156539329256584,
      0.127928199499723,
      0.123752631209476,
      0.157450122090501,
      0.195112878796706,
      0.189448966767547,
      0.171496304239567,
      0.168064252553479,
      0.166936444877763,
      0.159981348584497,
      0.153871945455356,
      0.153621055107081,
      0.159780783116307,
      0.15853785213715,
      0.146026690404646,
      0.135752251721558,
      0.13717051902829,
      0.148438707955647,
      0.159417344508216,
      0.155747414325858,
      0.137747188624554,
      0.120567666176137,
      0.12075228592544,
      0.131326740394343,
      0.13320076313497,
      0.135944255151142,
      0.150826301336945,
      0.16609580513731,
      0.157645611369255,
      0.137163772939714,
      0.128058325479243,
      0.142196924386593,
      0.160560401453108,
      0.158451144432755,
      0.139971997897532,
      0.129878905621341,
      0.135655546773283,
      0.154136245659866,
      0.170264491601051,
      0.157855333279266,
      0.135629460186333,
      0.132022846178326,
      0.152283891714654,
      0.164105235661586,
      0.14006597737089,
      0.120505737195207,
      0.127655004875571,
      0.145517910104799,
      0.152773229218563,
      0.15752886086937,
      0.159577924543542,
      0.147208475511849,
      0.108090089839083,
      0.0615622707541741,
      0.0244121630353657,
      0.00655291698183395,
      0.00111058972261388,
      8.74696356790027e-18,
      0.00378485278118707,
      0.0240872355592318,
      0.0679167264670896,
      0.109858878312566,
      0.119730025032584,
      0.119461102489402,
      0.116557939059858,
      0.115217695248234,
      0.112092033702555,
      0.108325744665285,
      0.113297132023306,
      0.132066173158198,
      0.142058757523048,
      0.131469748748736,
      0.122809841747414,
      0.122879959240818,
      0.121683199659324,
      0.120708631889712,
      0.126571087961242,
      0.126237200806802,
      0.116089179109436,
      0.112293502349896,
      0.131410084897396,
      0.145710216454575,
      0.133865415407406,
      0.121750623141304,
      0.121167736234791,
      0.120546017945113,
      0.119891909502757,
      0.128295646047412,
      0.132741516059651,
      0.121473458771143,
      0.110271411323599,
      0.119233264629759,
      0.134629024711254,
      0.1302017066017,
      0.117123718810235,
      0.121105116322271,
      0.142119720663491,
      0.15691881472295,
      0.158011649414567,
      0.152685866180821,
      0.140629942805676,
      0.132447250361296,
      0.133386850169994,
      0.131243573386764,
      0.120747584864503,
      0.112422731655435,
      0.12230806487295,
      0.146144473749231,
      0.1572639726937,
      0.154180554561903,
      0.151642086249942,
      0.140104754715573,
      0.133327627605131,
      0.144350674249833,
      0.141850214630094,
      0.118526913107399,
      0.106832397272662,
      0.12277922764414,
      0.145840621967804,
      0.144055924682693,
      0.122676157032123,
      0.112009277620727,
      0.122202077531773,
      0.13972916795338,
      0.14018674159059,
      0.120998433982367,
      0.105594716952438,
      0.108482177771574,
      0.132049087451837,
      0.1546174936487,
      0.144122971350355,
      0.119790904002995,
      0.11502841993628,
      0.133157243128782,
      0.143076782219723,
      0.123772558956565,
      0.106253019427427,
      0.106383556088555,
      0.107391812157626,
      0.104745039564196,
      0.109110984692445,
      0.125395302495739,
      0.136741360860272,
      0.134669356444358,
      0.130936134583596,
      0.13716043938645,
      0.139005228603342,
      0.125244749698321,
      0.1154971005181,
      0.112866245252378,
      0.109199761745803,
      0.112354377979563,
      0.127231094709333,
      0.135339838466836,
      0.130569934551233,
      0.127807832579826,
      0.13333348121796,
      0.13481311524726,
      0.127804281985254,
      0.124616101868025,
      0.122954859830825,
      0.124349280040258,
      0.138268782545706,
      0.14960685630643,
      0.137475525759814,
      0.120455019518966,
      0.114587735095916,
      0.128681651755192,
      0.152597346730699,
      0.15043740296348,
      0.133013306356951,
      0.124787388306505,
      0.125860505622896,
      0.137421694972992,
      0.147961634187302,
      0.143062928473829,
      0.131380819732499,
      0.119996627465546,
      0.127815030818222,
      0.144203452288864,
      0.132049540526224,
      0.109199204891976,
      0.112581315024363,
      0.138208212549888,
      0.150092670620503,
      0.1295855267351,
      0.107965121213628,
      0.107988695124391,
      0.127150216941496,
      0.146869822746095,
      0.139844911213792,
      0.116822575468201,
      0.10555610104414,
      0.115735180740228,
      0.140687846644678,
      0.149860180523599,
      0.128233430218113,
      0.104249581354409,
      0.106543278614954,
      0.133731591291583,
      0.142963733762425,
      0.120256384625502,
      0.120564778213171,
      0.156220347704628,
      0.183317459623954,
      0.172715417671083,
      0.164236693998184,
      0.168776295753121,
      0.166450842650714,
      0.156139828583227,
      0.150407724564049,
      0.14716678532593,
      0.145845523275147,
      0.142581193770968,
      0.133156959389891,
      0.125151228213761,
      0.124375505387919,
      0.13055582441478,
      0.141286974950675,
      0.140583537696821,
      0.122524745799584,
      0.110697830229189,
      0.123433678875803,
      0.135492077692362,
      0.122329909982763,
      0.107362956697802,
      0.116506858590244,
      0.141143146919469,
      0.145428566192728,
      0.122076212454311,
      0.104515723108544,
      0.110530768822968,
      0.135369826442884,
      0.150883342460654,
      0.134610600662774,
      0.111510892298078,
      0.107204329433698,
      0.125935902189881,
      0.150473204586228,
      0.147081001603984,
      0.1223341663264,
      0.116900543516955,
      0.145567875814175,
      0.160940125247901,
      0.131465026750834,
      0.104808217860373,
      0.109828877580966,
      0.128892442376598,
      0.139329492731389,
      0.137709973071562,
      0.138678297776785,
      0.138831050493851,
      0.112093540084058,
      0.0645166643093983,
      0.0232764120837185,
      0.00587402312315228,
      0.000940989453919969,
      1.74939271358005e-17,
      0.00251686876425892,
      0.0188038110941606,
      0.057768666529928,
      0.102062664920416,
      0.121454433337365,
      0.126509022636574,
      0.121602826061881,
      0.121515938782333,
      0.123453039742924,
      0.120304582376115,
      0.118510637082265,
      0.125818694400819,
      0.125099706650213,
      0.112252578682611,
      0.104217415933305,
      0.10962892503351,
      0.118095018947654,
      0.121850966922104,
      0.122690380071518,
      0.118701119003241,
      0.108736834772807,
      0.103732782620877,
      0.115124606992075,
      0.122192718487346,
      0.110995059330981,
      0.101713061476095,
      0.107499474696393,
      0.116034028134559,
      0.119472102853501,
      0.125033379196707,
      0.129661538881003,
      0.121074076049628,
      0.111473961477343,
      0.119658514957738,
      0.133290314189934,
      0.131366288016984,
      0.12169299731142,
      0.120745085942496,
      0.129622546270916,
      0.134040853506737,
      0.130822353260219,
      0.130260658219372,
      0.128739840954297,
      0.125177120890564,
      0.126874104448993,
      0.126489143194215,
      0.12104099089541,
      0.115021957038973,
      0.117368455622937,
      0.126682311676834,
      0.130013769846104,
      0.126887414479277,
      0.127217685323005,
      0.124680014035616,
      0.125788617365477,
      0.136287829588715,
      0.130418750794453,
      0.109374356912916,
      0.104774463898748,
      0.125853980088407,
      0.147011483612196,
      0.140937313967798,
      0.118777211546119,
      0.108991313809263,
      0.121172949119593,
      0.142099035351971,
      0.144281506068809,
      0.122186447784514,
      0.102629497855224,
      0.106581492824223,
      0.133018030699005,
      0.153828589517908,
      0.141356685702256,
      0.117668334769443,
      0.113543340536227,
      0.138891423186119,
      0.157607781662164,
      0.135835476890442,
      0.110720526419631,
      0.10372498073765,
      0.0997971927779701,
      0.0967325518481087,
      0.099969657146154,
      0.112232541134671,
      0.123385040628291,
      0.1197546344683,
      0.113180691031179,
      0.122161931261107,
      0.133473631372419,
      0.126161390094835,
      0.112040913253994,
      0.105099425826059,
      0.101514571444402,
      0.10292189406806,
      0.114899645800859,
      0.12434063068549,
      0.116841782640853,
      0.110465156288172,
      0.120105255156459,
      0.129708841467573,
      0.12473626477925,
      0.114860516142524,
      0.110354197805364,
      0.114249328104911,
      0.127348517904054,
      0.135568122848733,
      0.128036598459887,
      0.113067304882542,
      0.106784844018142,
      0.116748393489555,
      0.132132962970332,
      0.130691269774888,
      0.118694353503353,
      0.112605153558503,
      0.115703716854892,
      0.126510729411127,
      0.131749430761229,
      0.125998901716965,
      0.115050677573617,
      0.108051546782975,
      0.119357003239963,
      0.134857823441394,
      0.122707049289746,
      0.102958262681458,
      0.110518765048158,
      0.136558444742109,
      0.144515963056265,
      0.122898399698377,
      0.103591466018158,
      0.105011372381313,
      0.125085162405266,
      0.144495950269065,
      0.138335867244475,
      0.115148521634413,
      0.10344566159208,
      0.117952200790447,
      0.144789983925435,
      0.150364430285094,
      0.125975719172769,
      0.101894218944259,
      0.107623164749781,
      0.141309017357625,
      0.14813462839567,
      0.117202275656178,
      0.109807993730761,
      0.13648692934196,
      0.158703385243031,
      0.152544257959675,
      0.149584143795186,
      0.161516866846768,
      0.169136865583135,
      0.163833314580159,
      0.156844706066652,
      0.150919559292471,
      0.146747636944055,
      0.143075473240255,
      0.133209823683022,
      0.125444887635764,
      0.124012849361428,
      0.126032898766771,
      0.135258797029591,
      0.13748545215803,
      0.11683432662709,
      0.0998665122455949,
      0.112636960985665,
      0.129015576782084,
      0.118364182484023,
      0.106680463446513,
      0.122705247912091,
      0.145753342372477,
      0.142376762807957,
      0.117320736446465,
      0.102081994730689,
      0.109425539738929,
      0.133397644996896,
      0.145748736816087,
      0.129876392541869,
      0.107649090704378,
      0.104309696911477,
      0.125938289669078,
      0.150310414340881,
      0.145269691215196,
      0.119457776618989,
      0.1106518228691,
      0.148535121343192,
      0.183586004117934,
      0.155346648780953,
      0.114865607868102,
      0.11259481870723,
      0.123986397594863,
      0.130134412498277,
      0.125078825732944,
      0.119582869381645,
      0.112527767198303,
      0.0907310275103373,
      0.0529146290035993,
      0.0205702982889833,
      0.00574532514738539,
      0.00085163803641382,
      -1.22457489950604e-17,
      0.00320955118209705,
      0.0220340508514701,
      0.0630666510971028,
      0.10556940868908,
      0.124412152082346,
      0.128257898147322,
      0.118521131521142,
      0.120929052198115,
      0.132468090141699,
      0.132465353184923,
      0.125003723856156,
      0.124818214700325,
      0.120544595383801,
      0.108320490452955,
      0.101135936706094,
      0.110144217825332,
      0.123889351717772,
      0.128668875353752,
      0.126491137583364,
      0.12208335094947,
      0.112605785472293,
      0.108942940943457,
      0.114772939658998,
      0.115862329900178,
      0.105450081132578,
      0.0999506489776446,
      0.109318305675242,
      0.12241050228818,
      0.126602098786262,
      0.129933550068882,
      0.134052219821855,
      0.12607015549786,
      0.115419448606146,
      0.121595683126895,
      0.141160632238381,
      0.144693815710509,
      0.13187540587542,
      0.124404925570885,
      0.126973215023544,
      0.129690440119733,
      0.131074875025867,
      0.133314635919102,
      0.131719923770137,
      0.12732843111822,
      0.13240437568071,
      0.14277164162571,
      0.13973709498213,
      0.127210332849561,
      0.122224095567471,
      0.123084255710704,
      0.121928680858872,
      0.122553209262585,
      0.127140227123479,
      0.12629886749643,
      0.125929888769527,
      0.126833861151304,
      0.116556387407912,
      0.103675567613973,
      0.108091349952389,
      0.12595620574969,
      0.141013524791937,
      0.133152602863755,
      0.115137012113028,
      0.111272346519132,
      0.124414305234573,
      0.138371392396513,
      0.135202849020198,
      0.115761228473106,
      0.101144905868283,
      0.106609423486053,
      0.127551925896896,
      0.145317150173859,
      0.136093892651703,
      0.116422540628987,
      0.116880101407971,
      0.147528714012424,
      0.165683486197426,
      0.141039699986906,
      0.118156031915658,
      0.111290635492634,
      0.105365973221802,
      0.101900747036479,
      0.107587018369882,
      0.118531431406143,
      0.123835281804213,
      0.114874659466881,
      0.11103005290488,
      0.120380975910542,
      0.127274516647107,
      0.124058624854399,
      0.118449679515856,
      0.112626664366775,
      0.108122854843881,
      0.110498147509173,
      0.119579534372307,
      0.125356875086759,
      0.118997713890137,
      0.116439180303983,
      0.125006422128924,
      0.133380348540281,
      0.132396540470783,
      0.122627884967613,
      0.115837684776316,
      0.120477277295981,
      0.129516503734417,
      0.132084031239067,
      0.129099926145303,
      0.120671251820602,
      0.117889121204474,
      0.125762835379893,
      0.133103338020654,
      0.131048476171416,
      0.121646011761175,
      0.116762477166234,
      0.123091872181473,
      0.127841176704854,
      0.1217985309745,
      0.117619459191203,
      0.114998672433587,
      0.114498477606201,
      0.124684931736171,
      0.130882485173028,
      0.117039679757406,
      0.105158714749418,
      0.116119437844539,
      0.135826494962012,
      0.137240220680238,
      0.118414228087745,
      0.105272606105898,
      0.109580895834885,
      0.124644862420585,
      0.134221034763118,
      0.125602479059425,
      0.108282332984142,
      0.101384401579115,
      0.113519307375388,
      0.134962049018241,
      0.141920562281068,
      0.124268051083737,
      0.10510110877904,
      0.115878307045735,
      0.148710585071275,
      0.154012568683705,
      0.120991937726895,
      0.105470258197059,
      0.12067309374845,
      0.143141004180273,
      0.142938662803152,
      0.140104349972832,
      0.155548422269194,
      0.173068640543696,
      0.172752688061419,
      0.160554913638351,
      0.149825598968246,
      0.145276122667357,
      0.1446488592377,
      0.133615508464361,
      0.123494119856003,
      0.12279315343872,
      0.12505789870193,
      0.130298350450543,
      0.128171653877118,
      0.110667450213628,
      0.100598079751635,
      0.109629186365473,
      0.116159945329359,
      0.107273453532801,
      0.104735438864869,
      0.119829637169749,
      0.13671302175349,
      0.131886743872922,
      0.112688705157898,
      0.104796622592919,
      0.116936776170522,
      0.13425771570598,
      0.135282122012482,
      0.119402773303984,
      0.1048444179331,
      0.106337052802685,
      0.125497356843923,
      0.144817436879622,
      0.140142817972158,
      0.119094796248407,
      0.110394723569229,
      0.146451721360036,
      0.182451756693083,
      0.154771354417074,
      0.121390057270611,
      0.123750011510224,
      0.128797933862479,
      0.129116503743364,
      0.128727740238304,
      0.12256421056371,
      0.108867092261581,
      0.0825962698629037,
      0.0471053336547487,
      0.0191473881031422,
      0.00508827231028202,
      0.000675947308211502,
      1.74939271358005e-18,
      0.00443283462446197,
      0.0278225914607293,
      0.0748270955892488,
      0.117201292989198,
      0.127387962331927,
      0.123181126658225,
      0.112336866384877,
      0.11488192729861,
      0.125767039867569,
      0.127885734405722,
      0.127086111227431,
      0.136469215135575,
      0.138960674252487,
      0.12678735238704,
      0.11780625896577,
      0.125114509328184,
      0.138088451638385,
      0.144489335502255,
      0.144681035612941,
      0.138487505234054,
      0.125756035600377,
      0.123776850035686,
      0.131710000708582,
      0.133479188796538,
      0.12532314114953,
      0.121154182574593,
      0.128567907068231,
      0.140511484420624,
      0.146327259078944,
      0.148641733366169,
      0.148367777261472,
      0.13815081364302,
      0.127040624086546,
      0.136997625584299,
      0.163059799395731,
      0.161222688716473,
      0.141244306662931,
      0.136718398168693,
      0.139206177470583,
      0.140304165503083,
      0.148659952235384,
      0.155562434474612,
      0.150812683536479,
      0.146843480024752,
      0.161746199204944,
      0.176157569151592,
      0.157818432732533,
      0.135664037591636,
      0.134826712589399,
      0.137269614016646,
      0.131993790738068,
      0.133518425330107,
      0.140054142260171,
      0.139735993106221,
      0.135054670481424,
      0.130807168835276,
      0.123442736250839,
      0.112966877209095,
      0.116312619954123,
      0.141781886235219,
      0.167019680549568,
      0.153520457075233,
      0.124657375820558,
      0.115970973247659,
      0.135280605053436,
      0.15752018704159,
      0.153989392951492,
      0.129071050759468,
      0.110359328488807,
      0.117210656769431,
      0.148273143216575,
      0.175971652849011,
      0.157650955010517,
      0.124946108039365,
      0.118061455229845,
      0.140896410732113,
      0.153885050854923,
      0.13808491389841,
      0.124327082932339,
      0.119571296185153,
      0.119170694564212,
      0.122199670762233,
      0.131784460924948,
      0.141972591246285,
      0.135749182867373,
      0.116157059491519,
      0.112144554994398,
      0.119841192939478,
      0.123265315809469,
      0.126731572515118,
      0.130368740663082,
      0.130928276460402,
      0.131569786940687,
      0.138411500613148,
      0.145759192011885,
      0.140249867126737,
      0.126977659524135,
      0.12680549223539,
      0.13701978190394,
      0.144427325494859,
      0.145394899353046,
      0.135673534581291,
      0.127165107434362,
      0.132001274888498,
      0.140561833356292,
      0.144972553800043,
      0.143794440469609,
      0.13513054944768,
      0.132496432971419,
      0.143111328395155,
      0.151196189917215,
      0.147757140635007,
      0.134741532589671,
      0.126481080817542,
      0.131887066237794,
      0.135910580972124,
      0.132995264039757,
      0.133097022216729,
      0.133922409371627,
      0.137065332687754,
      0.147320394800576,
      0.148522743397542,
      0.131039807650508,
      0.113740332031736,
      0.124564227116346,
      0.154263075498512,
      0.161241472129623,
      0.133500940990935,
      0.110861070527781,
      0.115699858260662,
      0.141888280241129,
      0.159388925331856,
      0.144363127002347,
      0.119247364299302,
      0.106585311028931,
      0.121908923844002,
      0.155388164575945,
      0.167990337067386,
      0.139968750828305,
      0.110011916923087,
      0.110816507602976,
      0.136664898131167,
      0.14933673825178,
      0.124363386445434,
      0.108037945162388,
      0.124059092618124,
      0.151470290055384,
      0.150331168394602,
      0.143496821038878,
      0.154474178845133,
      0.169233341618591,
      0.169272198503416,
      0.159678963872267,
      0.152892657652814,
      0.153211978938638,
      0.154145621211968,
      0.140437309564741,
      0.124225537733175,
      0.121735639557877,
      0.12879831335397,
      0.136025625456696,
      0.130220705328101,
      0.117638315375976,
      0.116477710960402,
      0.126568609316353,
      0.128701668149691,
      0.115525567367369,
      0.109405922273204,
      0.129032880031103,
      0.157574474799419,
      0.15378714242338,
      0.126175419628401,
      0.110676428536356,
      0.123942152923889,
      0.151225978998984,
      0.158112468388867,
      0.135666183750876,
      0.114004309151421,
      0.113085979303332,
      0.139168225635204,
      0.170492080355635,
      0.163227485369663,
      0.129627134772145,
      0.115227565023503,
      0.13689909613076,
      0.154084642593605,
      0.130298215588859,
      0.114644590661131,
      0.128018119330664,
      0.142569972547918,
      0.137388846980174,
      0.128017898930566,
      0.126158348691283,
      0.123786619308525,
      0.0954064621693658,
      0.0524291670508695,
      0.019682364938152,
      0.00517638961671401,
      0.000858982599231941,
      1.22457489950604e-17,
      0.00492625852771792,
      0.0312029870853363,
      0.0831291302956498,
      0.122414034599618,
      0.118731355216798,
      0.109229404163221,
      0.105828914134483,
      0.110597642081228,
      0.118108751856208,
      0.124996273856832,
      0.13465684167063,
      0.159968012180863,
      0.17922670536544,
      0.171349367216507,
      0.153348395251923,
      0.15623734303712,
      0.174875487893437,
      0.188983111723251,
      0.187801803272887,
      0.174708996549518,
      0.157344009145795,
      0.152601752723921,
      0.171492349311039,
      0.188525240713558,
      0.176785648766293,
      0.155892856547783,
      0.1584929278832,
      0.176875100270475,
      0.186888389182022,
      0.183865212349073,
      0.170698452270108,
      0.14977980307199,
      0.142323158416586,
      0.170965872646859,
      0.201345067140875,
      0.184931325070791,
      0.157139560487757,
      0.154871789205491,
      0.157792018802959,
      0.161091881756702,
      0.177708991422514,
      0.189492603133156,
      0.181105895170335,
      0.176610385392885,
      0.192413861846426,
      0.196118690675608,
      0.169507282634185,
      0.152231287582334,
      0.155053920234198,
      0.156292565319004,
      0.149172838922146,
      0.156405393562466,
      0.173440142396479,
      0.172109168197011,
      0.159796839775608,
      0.165212963189675,
      0.170263039093312,
      0.151956619173417,
      0.143762392973587,
      0.168071851268557,
      0.203857788284096,
      0.195560412916389,
      0.159302210358119,
      0.140608012528381,
      0.159165677986837,
      0.185545608028862,
      0.188340049274228,
      0.167070350995087,
      0.142947736567664,
      0.143701256643623,
      0.175048440710957,
      0.210897061730765,
      0.195634969719607,
      0.155971086041786,
      0.137502026292102,
      0.158760997969794,
      0.178200942429987,
      0.168095098297313,
      0.154920561987673,
      0.14945401847411,
      0.150527264031468,
      0.156810221541856,
      0.16752368786274,
      0.179516202781149,
      0.172953193704323,
      0.146456247651482,
      0.138506015102435,
      0.153473379236009,
      0.166022572607815,
      0.166494548409918,
      0.160434809742875,
      0.159929225156965,
      0.163370597129347,
      0.17220306706896,
      0.18271054301318,
      0.175613085149598,
      0.153559127287904,
      0.147173879037793,
      0.163342072762833,
      0.183284982665238,
      0.185595200150347,
      0.167731944159553,
      0.153478003190781,
      0.153298483067873,
      0.162766167101325,
      0.18215073130851,
      0.185336536709618,
      0.16294439169133,
      0.151038685201756,
      0.173578029532775,
      0.195487985108194,
      0.18915920868534,
      0.168176969915847,
      0.153958187201446,
      0.1525658853419,
      0.15784713934358,
      0.171037096587679,
      0.180714478206445,
      0.171880058412517,
      0.159036965493728,
      0.173503234009132,
      0.190323885992224,
      0.174762135857794,
      0.146524429471229,
      0.152028717746067,
      0.186542457682336,
      0.202812136370808,
      0.173911447303715,
      0.140194625315288,
      0.137773745880381,
      0.165014107554162,
      0.194520766181287,
      0.188846826434379,
      0.161353268971185,
      0.139871589827886,
      0.152507191324535,
      0.190961767139934,
      0.208914536239857,
      0.175548104240391,
      0.131317697115998,
      0.122324729349699,
      0.140981543311844,
      0.152400298516132,
      0.131259626010858,
      0.121486056897892,
      0.139072293509374,
      0.161418539080961,
      0.153659583644825,
      0.147363561819567,
      0.152761000397518,
      0.159117698468959,
      0.163110722465884,
      0.172068200598966,
      0.181519232519001,
      0.192207710740379,
      0.197074703288946,
      0.180408789455482,
      0.157767864455051,
      0.153605123712051,
      0.165366144231485,
      0.183892828787836,
      0.185052755365481,
      0.159880821518862,
      0.142647599064509,
      0.164392781249093,
      0.188066056236918,
      0.168461649055914,
      0.14331159252849,
      0.159128382944805,
      0.196739921275158,
      0.199696748563479,
      0.165729549598622,
      0.137340189543821,
      0.144744439295186,
      0.174772365203046,
      0.192497324094388,
      0.175369279989032,
      0.147761544842496,
      0.138858759680683,
      0.161558288168292,
      0.198715301208478,
      0.198349535591476,
      0.161849373794024,
      0.135381596479119,
      0.141799688330554,
      0.148606890394212,
      0.13278342701663,
      0.118277558083327,
      0.11777817644079,
      0.120626326024317,
      0.121058468449249,
      0.124504504768938,
      0.125828129391034,
      0.119557797933692,
      0.0932183788567876,
      0.0526485974019861,
      0.0195293296885109,
      0.00567907705331599,
      0.00110348695235751,
      1.04963562814803e-17,
      0.0046541675336297,
      0.0323232565939327,
      0.0888349772066004,
      0.12596551346025,
      0.113736176909008,
      0.105798816961538,
      0.107828000961972,
      0.113276734818563,
      0.118611018139193,
      0.126282439305951,
      0.134405692478141,
      0.16195526085371,
      0.193176961527548,
      0.193464494836312,
      0.169594072434164,
      0.170533218224108,
      0.191564687817768,
      0.202226565657203,
      0.191336068478634,
      0.174500659725742,
      0.159466923808335,
      0.161729342780386,
      0.197341580364121,
      0.22308013713742,
      0.200695569775445,
      0.169890080875983,
      0.174810252097367,
      0.197631736677486,
      0.204355864402165,
      0.193703345850543,
      0.173657551420608,
      0.149196623627133,
      0.145362419651702,
      0.177593499171988,
      0.201320751039238,
      0.183126828661485,
      0.16373099504639,
      0.16939933059471,
      0.179642606632034,
      0.182548921092361,
      0.192661776407758,
      0.201233679580609,
      0.189520026042345,
      0.178873170192008,
      0.187079294727314,
      0.187311518340506,
      0.1687043694847,
      0.159110366922751,
      0.16685486082995,
      0.174921784385723,
      0.167880025074464,
      0.167834096283744,
      0.184080772403051,
      0.182470433237189,
      0.169864191992678,
      0.175151801355672,
      0.179525351924081,
      0.16091915329993,
      0.150238436791513,
      0.156249435468711,
      0.180219360613721,
      0.188341037008198,
      0.172599921776069,
      0.156714351977151,
      0.16306538497728,
      0.177710087390621,
      0.182196474447333,
      0.173533935219376,
      0.157611508937308,
      0.153110777429085,
      0.16368281893589,
      0.185172583850555,
      0.183551749863706,
      0.161691906968609,
      0.147878248691835,
      0.174508196573674,
      0.19906892050384,
      0.179028272354158,
      0.155994539175098,
      0.152658871039416,
      0.155336966879102,
      0.165970809037312,
      0.186525140738311,
      0.197644283630836,
      0.179682483869563,
      0.151582539137964,
      0.150098243710592,
      0.176470172660027,
      0.196389820817234,
      0.185449562423806,
      0.165373372421155,
      0.162334803897154,
      0.170959060841537,
      0.189349872660344,
      0.197724396356046,
      0.17907090760528,
      0.152290434500701,
      0.147874903224778,
      0.167138217689702,
      0.193559504354838,
      0.196404403338747,
      0.175789558587098,
      0.163718074785705,
      0.170769359541129,
      0.182878668453976,
      0.192226446722826,
      0.188319309803963,
      0.167694653209226,
      0.157884835546823,
      0.179602258561554,
      0.200899385377774,
      0.193301012602842,
      0.173789951102481,
      0.165133765610848,
      0.172316141976828,
      0.180169361500252,
      0.18572833040545,
      0.18994509683188,
      0.176172144704133,
      0.152424423494898,
      0.164149500577326,
      0.189010088423611,
      0.180055072609083,
      0.155358218507282,
      0.152653205533299,
      0.173109211437736,
      0.193612904413189,
      0.183124215676358,
      0.157095146226984,
      0.148985360638179,
      0.157191904279283,
      0.174021546461158,
      0.179488306891725,
      0.171216378064815,
      0.1583350792153,
      0.158140335417732,
      0.173574122898319,
      0.186105161792963,
      0.173294152871309,
      0.141749359933975,
      0.135073624776194,
      0.150382833416877,
      0.15569157059055,
      0.133688552511533,
      0.131972014053384,
      0.150766109081015,
      0.164530753621007,
      0.150740626976673,
      0.141659768081805,
      0.144714612095967,
      0.153260207875225,
      0.164758915767626,
      0.17727589210045,
      0.191230848475197,
      0.208391525525036,
      0.211298506002824,
      0.191385327634306,
      0.176181906387867,
      0.180899373911848,
      0.195284350825463,
      0.207027883283784,
      0.203008375436591,
      0.172299746350065,
      0.145015311023679,
      0.163520653092758,
      0.194991917339162,
      0.182607460475037,
      0.157322926778101,
      0.157110282514102,
      0.179833857456213,
      0.190844339295224,
      0.173516860813724,
      0.14950208867564,
      0.149901828492343,
      0.164284540265813,
      0.177844271627816,
      0.175537701583696,
      0.161788635378379,
      0.154243295244106,
      0.16013532799703,
      0.178754430918105,
      0.183366638765541,
      0.167323130798376,
      0.147728924949438,
      0.14980938341206,
      0.149523937052577,
      0.132678297299359,
      0.122586943750233,
      0.115927640547375,
      0.100962536524036,
      0.104894623583798,
      0.130643947092523,
      0.134036246346631,
      0.109173784778457,
      0.0781009475655259,
      0.0460898740499257,
      0.0194777441006447,
      0.00571156622840988,
      0.00108617690446445,
      -2.09927125629606e-17,
      0.00344786374255416,
      0.0271195937869627,
      0.0805739886104284,
      0.124612606423399,
      0.127244193824113,
      0.127332110666366,
      0.125414472806183,
      0.124587127371416,
      0.120643414556099,
      0.112898751540827,
      0.109135723829277,
      0.126474962343344,
      0.151475136988541,
      0.154209143024728,
      0.137874242847138,
      0.136003641501978,
      0.143692526458148,
      0.146246716265777,
      0.141429346201863,
      0.132918046060869,
      0.12365747478474,
      0.126194205427413,
      0.150090321039442,
      0.168196403391835,
      0.154174062807061,
      0.134547751043023,
      0.133821077272455,
      0.143544167568366,
      0.147789869267231,
      0.144947276979482,
      0.13399116449264,
      0.119140247882899,
      0.118359334293175,
      0.139719864686586,
      0.158802067926644,
      0.148644998754017,
      0.135523820989246,
      0.143651923254461,
      0.166262907250203,
      0.17586374062782,
      0.17583449310158,
      0.169789202697383,
      0.150900050660277,
      0.139864284726977,
      0.149574760379412,
      0.156591014163816,
      0.143511908001638,
      0.132532448408851,
      0.144956142665356,
      0.170135260894766,
      0.169733548644321,
      0.155840918844066,
      0.161248998281867,
      0.163728897346709,
      0.15028556832499,
      0.138945792073428,
      0.134568724285839,
      0.128967751592292,
      0.128121022101346,
      0.129439131473474,
      0.136181780800351,
      0.141143028810742,
      0.139874179586337,
      0.139426090254322,
      0.140295945116152,
      0.140273921654394,
      0.136573117259571,
      0.131082708792544,
      0.127647900325947,
      0.128838694080002,
      0.133887367933091,
      0.141487521655254,
      0.138805165729992,
      0.131292530881937,
      0.132660461719915,
      0.153631552907992,
      0.165870200309037,
      0.141776332966048,
      0.116722519334107,
      0.110783683203328,
      0.111419759379337,
      0.120285145266928,
      0.141839529165153,
      0.15483845976,
      0.13992592085385,
      0.120720793192437,
      0.126523788889537,
      0.150665533887752,
      0.15814334958667,
      0.137852354834679,
      0.119135202801979,
      0.116497722528505,
      0.125054383349155,
      0.14609896486587,
      0.157540288867478,
      0.141395642012727,
      0.121667324200201,
      0.122568232711255,
      0.132983713088084,
      0.143766624727137,
      0.146770050720429,
      0.139857200989968,
      0.13606058190899,
      0.146538803883695,
      0.157904699645002,
      0.152104083962076,
      0.136356988547411,
      0.126984268451527,
      0.127425213244157,
      0.140962620656306,
      0.155645422806881,
      0.151967485876953,
      0.140201970510874,
      0.136836389743151,
      0.147562624061327,
      0.156933095301207,
      0.15211661061126,
      0.142055453807198,
      0.133815335444888,
      0.121091210616886,
      0.124402246012871,
      0.139402356017995,
      0.139987686133976,
      0.131411567373743,
      0.128409476985325,
      0.135605529818124,
      0.144541863940799,
      0.137703897520945,
      0.128801870496178,
      0.130747373788613,
      0.132615649184733,
      0.131123845096002,
      0.129622724366287,
      0.130316434878617,
      0.130942874401636,
      0.131184051982653,
      0.135278140645185,
      0.138312286437985,
      0.133227312925314,
      0.1230443767692,
      0.12460811313956,
      0.135752912351868,
      0.140962946050862,
      0.126163729796559,
      0.123588420718765,
      0.142798229595665,
      0.162337819651213,
      0.151843839078738,
      0.136596995840888,
      0.133439800780503,
      0.141694263660124,
      0.154167256400889,
      0.157263692582699,
      0.153658775775621,
      0.155948848891084,
      0.153593282403412,
      0.140603439051123,
      0.132180461579022,
      0.1374281351363,
      0.149502702523592,
      0.154452930579052,
      0.146581161170266,
      0.127705639259594,
      0.111583603256703,
      0.118021464744375,
      0.134432276131098,
      0.135129255692063,
      0.128968570297894,
      0.12806558789583,
      0.136892975279919,
      0.141355349163263,
      0.132812249836897,
      0.126735799443407,
      0.130946567903337,
      0.134941182015434,
      0.133750471949178,
      0.129226738519157,
      0.127361088507077,
      0.129492465367695,
      0.132268158770665,
      0.137273986937368,
      0.137342767615266,
      0.1309520305979,
      0.127912315887032,
      0.138358728421721,
      0.142184117520839,
      0.120270429332792,
      0.103617969495511,
      0.103099164356027,
      0.103983950928397,
      0.11145873646031,
      0.128725852602836,
      0.131917153732405,
      0.112169267077836,
      0.0796778409716672,
      0.0453740794647156,
      0.0179926365939575,
      0.00465764745260625,
      0.000762265266464946,
      -2.62408907037008e-17,
      0.00282465345530016,
      0.0233064313441203,
      0.0692763712269781,
      0.113507682541812,
      0.132703369054452,
      0.141107409158262,
      0.132995964405639,
      0.127984558166799,
      0.119509542751933,
      0.0994987716931283,
      0.0886528809185506,
      0.103207250917412,
      0.124536179064737,
      0.124420794802084,
      0.110510010247375,
      0.105609247356465,
      0.10524832068458,
      0.10581270188596,
      0.110820792482145,
      0.110820768371122,
      0.104529887463623,
      0.103726992829937,
      0.120112063482875,
      0.136836308500742,
      0.127150551242765,
      0.109766555252292,
      0.104134317255785,
      0.104590276042179,
      0.106257647784452,
      0.113368131736412,
      0.11436266370216,
      0.10498710420831,
      0.101236537298178,
      0.115744607702008,
      0.132076708931474,
      0.121883707880364,
      0.102056517768653,
      0.105477401025885,
      0.135119102662379,
      0.157574026632669,
      0.156785888851347,
      0.14104018747074,
      0.119599440559961,
      0.114138948322816,
      0.123463149728071,
      0.125961700846042,
      0.111055271783084,
      0.0967124295321405,
      0.108089212458091,
      0.142042233278771,
      0.156328208574963,
      0.1475148167589,
      0.145319879573625,
      0.140210604839076,
      0.127532118711219,
      0.118667944503527,
      0.111850141440282,
      0.102166518851727,
      0.102496862641748,
      0.116638387641966,
      0.127569660393184,
      0.122702997392714,
      0.11280025943275,
      0.110003843486097,
      0.116052104669657,
      0.124941794746836,
      0.120535259899416,
      0.105634079901372,
      0.097928223335169,
      0.105025449534964,
      0.123060460628432,
      0.134038409103409,
      0.121711230870172,
      0.10821086566525,
      0.112516590917286,
      0.131528929234623,
      0.141434662704122,
      0.12138581851706,
      0.0975876027918942,
      0.0883469017888367,
      0.0864114875762244,
      0.0883981393425044,
      0.103204052596362,
      0.122743427347682,
      0.122228517786526,
      0.108113108554385,
      0.106622324887168,
      0.123045193814225,
      0.129356909496285,
      0.112035647839245,
      0.0956828247838923,
      0.0913345544853238,
      0.0936878239652238,
      0.107571761935869,
      0.125022274237658,
      0.123812680689262,
      0.112716594782576,
      0.110981412431975,
      0.117804004216625,
      0.122933755239178,
      0.121712685308334,
      0.116582717810697,
      0.113683330748024,
      0.118148902547781,
      0.130584811859951,
      0.134001154052686,
      0.117409340415389,
      0.104695293151806,
      0.102539412900757,
      0.112838268137479,
      0.130211729300463,
      0.129971555258597,
      0.115821797348981,
      0.109032640324362,
      0.11446380336145,
      0.126667566660532,
      0.130059588982266,
      0.118194128969759,
      0.110139992851501,
      0.106505042695363,
      0.110146184072945,
      0.118020723358665,
      0.113059304132055,
      0.102396680810104,
      0.107517228371383,
      0.123093226539466,
      0.12573574694446,
      0.111765054171965,
      0.10186249219045,
      0.103962321308715,
      0.114734245274009,
      0.12172584635834,
      0.113765440084133,
      0.102476037806749,
      0.100757340207217,
      0.111569608023545,
      0.127174212096891,
      0.128064601949163,
      0.112458872049612,
      0.100989275186012,
      0.111693426789392,
      0.132141805629342,
      0.133509082396996,
      0.110799098998455,
      0.104175041398341,
      0.126603398484885,
      0.154102492339264,
      0.147869998160846,
      0.136500809760952,
      0.135341910534161,
      0.135275054664312,
      0.137351581491939,
      0.136475412829346,
      0.129681459816373,
      0.125610114914271,
      0.121419399519126,
      0.112175418154561,
      0.105317625769095,
      0.108358025176881,
      0.120605778525678,
      0.129744747618836,
      0.121700341444568,
      0.104354772967226,
      0.0963580544267931,
      0.104764442744083,
      0.111916520316923,
      0.105510404228314,
      0.102901970279767,
      0.115088096523076,
      0.128613778183274,
      0.123176936843032,
      0.106879875078963,
      0.10105394228855,
      0.109384032328638,
      0.122284269552483,
      0.122082541969794,
      0.108269149418754,
      0.0994601423580384,
      0.103151008604289,
      0.117624147195471,
      0.130102296827203,
      0.1233794926559,
      0.107764391180589,
      0.107970670788956,
      0.130801477992661,
      0.14884741484397,
      0.125886378565251,
      0.0954634048276006,
      0.0941218833007359,
      0.110519892169781,
      0.117032198371457,
      0.114422755851797,
      0.121854585796566,
      0.124551355116352,
      0.0944232400635061,
      0.0485750017478423,
      0.0161034328865721,
      0.00374507856989944,
      0.000483327549608597,
      -3.67372469851811e-17,
      0.00318395912575796,
      0.0244931713240706,
      0.0672036038103025,
      0.105059384311618,
      0.120841899115556,
      0.123641355342816,
      0.11306636105077,
      0.114295952272373,
      0.11394214671917,
      0.099846531328295,
      0.0929125419336234,
      0.106209389307649,
      0.118314468404959,
      0.111161359088124,
      0.097549880891164,
      0.0935395068180321,
      0.0953438538580449,
      0.0956714150628117,
      0.0985202896294288,
      0.0999710719055831,
      0.0966209705664887,
      0.0945281037365238,
      0.105143255730688,
      0.11760308773351,
      0.110856207084536,
      0.0957572373183699,
      0.0916773955003725,
      0.0948250361787777,
      0.0961358610867754,
      0.101898309390773,
      0.108210491620447,
      0.103425026892755,
      0.0988037826453935,
      0.109130744652931,
      0.118608896852386,
      0.107238490165211,
      0.0909384645890284,
      0.0928169675257131,
      0.11129532553315,
      0.128276924310809,
      0.131817838645742,
      0.12458414471552,
      0.113853870250841,
      0.112157849200717,
      0.116543876225509,
      0.111099509691933,
      0.0969585277008066,
      0.0874853219147491,
      0.0947411999542956,
      0.115037251868143,
      0.128309092800493,
      0.128411327069248,
      0.123658145656302,
      0.111585800833443,
      0.107251487751246,
      0.117965313061114,
      0.1167826547095,
      0.0963484511919428,
      0.0892391540378797,
      0.107156167052698,
      0.124468076547313,
      0.119224290314493,
      0.103195451804217,
      0.0949515614427131,
      0.10493875777891,
      0.119857788700281,
      0.117575266918973,
      0.0996354302665762,
      0.0845274881387604,
      0.0913639960961733,
      0.118166195350854,
      0.134109710237223,
      0.118337725177219,
      0.0988946483602853,
      0.0959519173925689,
      0.112584677871656,
      0.126910782353339,
      0.114990824816499,
      0.0949487955186978,
      0.0844974249232201,
      0.0809129945516595,
      0.0809024233517815,
      0.0908565956316728,
      0.111660093487002,
      0.117935270321243,
      0.102477859848894,
      0.0921976363806174,
      0.108306418546774,
      0.125100762485769,
      0.112865121777622,
      0.0916502914576139,
      0.0849181059231486,
      0.0856518202791191,
      0.0940573968954758,
      0.113026776802715,
      0.119289566795476,
      0.105150753195703,
      0.0945889046768309,
      0.102824756249935,
      0.113557806840351,
      0.110317788196025,
      0.0994732858248459,
      0.0960135074790267,
      0.101036545702887,
      0.115389468645124,
      0.124012217013667,
      0.111782164689795,
      0.0974192377647619,
      0.0945987062636153,
      0.104962859407542,
      0.119110212204312,
      0.115552057297055,
      0.100771586290805,
      0.0965608091581539,
      0.102378028688336,
      0.115430489247131,
      0.122039179195522,
      0.113183440173906,
      0.103164028192843,
      0.100784817390199,
      0.110042123382881,
      0.119069927373294,
      0.10631832131295,
      0.0885018690756689,
      0.096307152385214,
      0.117960707394458,
      0.121538653112033,
      0.105204779641246,
      0.0908393507607615,
      0.0913273593019065,
      0.105964321697207,
      0.116232810998219,
      0.108500736467862,
      0.0931382944152587,
      0.0856654280588024,
      0.100896056505762,
      0.124625101198578,
      0.126595016034491,
      0.10685097994872,
      0.0899565311805838,
      0.10040199867006,
      0.130540546320639,
      0.133681082242384,
      0.103337325890824,
      0.0950046498704908,
      0.120996478109765,
      0.145420759811015,
      0.137817990525724,
      0.132292101274211,
      0.137486871556039,
      0.134331475538064,
      0.128444606616576,
      0.128106700078585,
      0.127020680931686,
      0.12492065090245,
      0.121386542505438,
      0.11156920920096,
      0.105470303524874,
      0.10726880569267,
      0.116838126707528,
      0.128004673716301,
      0.122590525903313,
      0.102334780147479,
      0.0923399139633742,
      0.105425440236954,
      0.116684986793305,
      0.101759223385584,
      0.088991533111974,
      0.104108928390735,
      0.123074224127677,
      0.118085087904508,
      0.0999190424912357,
      0.0889674228503387,
      0.0956495776061873,
      0.111465792938379,
      0.115092625871249,
      0.102900161187808,
      0.0886350856882511,
      0.0893353432924563,
      0.112252888249788,
      0.132369956613055,
      0.122873336122097,
      0.10255517845368,
      0.0997817607230666,
      0.124231721408309,
      0.140271241293157,
      0.121127319659754,
      0.0984258653232559,
      0.0939598990524401,
      0.0969058085424459,
      0.0982258093790108,
      0.0996102140625959,
      0.106000869371754,
      0.102366755194727,
      0.0765830558011646,
      0.0403307507608995,
      0.0149501800457825,
      0.00378885032250445,
      0.000495675679234443,
      -1.39951417086404e-17,
      0.00366853806636133,
      0.0269423975359247,
      0.0719882776637351,
      0.106474508456394,
      0.108069996317659,
      0.0989704190961406,
      0.0895412356945821,
      0.0965809259494508,
      0.107033409437138,
      0.10934271847461,
      0.11522152048655,
      0.129084938608832,
      0.124533348318899,
      0.102448612294316,
      0.0895012123794715,
      0.0903345277734086,
      0.0988921924629529,
      0.104117250943563,
      0.102972379674688,
      0.100336060487482,
      0.0980004082675092,
      0.100510153047332,
      0.109273386803901,
      0.111023589282991,
      0.0994136319804162,
      0.0885411055825245,
      0.0910862603164118,
      0.100309420132226,
      0.103685116040772,
      0.104670941280966,
      0.10895267503042,
      0.109176691182781,
      0.108136666262264,
      0.116590237980079,
      0.125939181935086,
      0.116350364029408,
      0.0998291628304128,
      0.0973667711590366,
      0.104044720107696,
      0.112199121451323,
      0.116563793408453,
      0.118655004379654,
      0.119184291529517,
      0.113840196339735,
      0.115572123629564,
      0.117228144924432,
      0.105984388857623,
      0.0944654963931144,
      0.0951772060155161,
      0.102066030848765,
      0.10871127870478,
      0.112290614985972,
      0.109959737139324,
      0.100720011842819,
      0.0992205070993663,
      0.113804245052041,
      0.113793726543578,
      0.0939055144825486,
      0.0870879633837339,
      0.104202634239381,
      0.122579069278399,
      0.117031233747733,
      0.0989406796656127,
      0.0900049977626104,
      0.0994556711306089,
      0.111944035962979,
      0.110348537101496,
      0.0972181008485513,
      0.0854861926798839,
      0.0882893911142758,
      0.109628863712198,
      0.125756117776801,
      0.113648675059935,
      0.0950625707448046,
      0.0941331435120862,
      0.119773904051434,
      0.14015639968476,
      0.123701457922286,
      0.0996857191722899,
      0.0880834914348001,
      0.0808889493919988,
      0.0798462455503422,
      0.0899311658495954,
      0.1072620621912,
      0.109342247522416,
      0.0941260726915893,
      0.0887404545836313,
      0.105048770740535,
      0.120199093565391,
      0.112745894540731,
      0.095495942798033,
      0.0857016869660685,
      0.0834989336719736,
      0.090640864365616,
      0.106346090546283,
      0.110704831225241,
      0.100509701944306,
      0.0940316667842782,
      0.0988291479809736,
      0.105428163130243,
      0.105899888222191,
      0.0978893064450994,
      0.0939317017430762,
      0.0975729258631106,
      0.105915604471161,
      0.110951982289581,
      0.108530615317479,
      0.0998361287645387,
      0.0980559085856256,
      0.105717328751836,
      0.110627491991396,
      0.106496558540422,
      0.0984785142750816,
      0.0960860623187753,
      0.100267191666342,
      0.105569618441771,
      0.104728179728731,
      0.103487650235954,
      0.100004192976083,
      0.0964875375247568,
      0.103279865976825,
      0.111578512273042,
      0.0999722783611128,
      0.0842938867607476,
      0.0910815466521256,
      0.112415604540354,
      0.118426730188376,
      0.103214677745297,
      0.0880363273441525,
      0.087627852979809,
      0.10107266339312,
      0.11158876995964,
      0.106066144938796,
      0.0918474862305449,
      0.0828716001781076,
      0.0941451138215234,
      0.11730294468096,
      0.122735063530768,
      0.1040849492602,
      0.0848899771927231,
      0.0862935182274291,
      0.113859863559811,
      0.128722575175005,
      0.106793412434821,
      0.0962127866435944,
      0.117480952024524,
      0.140826350413288,
      0.135437924986379,
      0.124907462059216,
      0.13211588884321,
      0.136905916290571,
      0.130603416497989,
      0.127562743045143,
      0.126041820721519,
      0.121069466083294,
      0.119940052928588,
      0.113710104722182,
      0.107117929507139,
      0.107285818159931,
      0.113436806943201,
      0.121529561290242,
      0.11770995142322,
      0.0972846678005041,
      0.0846089225611422,
      0.0987329805850061,
      0.114710391136496,
      0.102013395418471,
      0.0856892931199376,
      0.095674398610675,
      0.114099860192686,
      0.112784385946535,
      0.0963038892331286,
      0.0850401527796319,
      0.0901061452394698,
      0.105126013187298,
      0.110899645802569,
      0.101957373388712,
      0.089464845385249,
      0.0874890858207927,
      0.104739857262234,
      0.123653746387384,
      0.118109389219761,
      0.0992017233371528,
      0.0941346936355536,
      0.122910793784701,
      0.146197730101613,
      0.125980008772728,
      0.101244977354148,
      0.0986093942748201,
      0.0971836673850875,
      0.0928368914005006,
      0.0944828881373659,
      0.0942482421535324,
      0.0797069732821488,
      0.0580042413935669,
      0.0350429073945279,
      0.0153264766201047,
      0.00398108798232596,
      0.000619823420858457,
      -1.57445344222205e-17,
      0.00311160612262633,
      0.0241553756896186,
      0.068330611905265,
      0.103528642044357,
      0.102271246918214,
      0.0968309899492157,
      0.0930245207780932,
      0.0925841557053192,
      0.10093073091636,
      0.114877322062372,
      0.1273114558786,
      0.137197378395151,
      0.128860115825883,
      0.107553740635494,
      0.0971556768576327,
      0.103531357182959,
      0.117342810638114,
      0.125067976007456,
      0.122333241293997,
      0.116055621029097,
      0.109250565747751,
      0.11187239507586,
      0.116974614974338,
      0.113316697982765,
      0.104125542819532,
      0.0992386728850718,
      0.106759104596426,
      0.120060598510668,
      0.125885421417635,
      0.124242687193204,
      0.123857023691451,
      0.117716544709379,
      0.10913080841843,
      0.111957356921994,
      0.127642067749844,
      0.125326482678954,
      0.111735385206926,
      0.112752434643881,
      0.120197456337827,
      0.120040777778941,
      0.119652877590353,
      0.129257085211986,
      0.133445231533451,
      0.12152256480639,
      0.123313228461752,
      0.135248238660546,
      0.123222048381635,
      0.107534880790828,
      0.111618567701244,
      0.11784088347573,
      0.112606962795182,
      0.108297815182111,
      0.110136792922766,
      0.109277117384562,
      0.107755391435386,
      0.111351210591443,
      0.105275342170769,
      0.092701706451781,
      0.0946071698335577,
      0.114173119248036,
      0.135259383939695,
      0.127152029950662,
      0.101192071520383,
      0.0898680107461808,
      0.104329786148509,
      0.120198994260851,
      0.117260671585348,
      0.101187186356244,
      0.0897729744335009,
      0.0952592144088226,
      0.119161694790256,
      0.141082488330744,
      0.12767196633344,
      0.100397584230548,
      0.0978534894570229,
      0.135999084813826,
      0.163519307681701,
      0.138046489914283,
      0.109352095002312,
      0.102613262673856,
      0.0987242053526527,
      0.0975183939972982,
      0.110093229432482,
      0.123783064447469,
      0.112128828284141,
      0.0912666653771981,
      0.0905716459261155,
      0.100560942845945,
      0.108867165712958,
      0.112897538075631,
      0.112531172406489,
      0.106879921749302,
      0.103530970214583,
      0.113348259422938,
      0.124437880460891,
      0.117491067906064,
      0.11101740282568,
      0.115349137201836,
      0.118315385372807,
      0.118192630700657,
      0.116912225656848,
      0.108491706232414,
      0.101818990170922,
      0.106528820614155,
      0.11360864439579,
      0.1162077026239,
      0.11738304356886,
      0.111906995137444,
      0.113579084468307,
      0.12432996829011,
      0.128275719062349,
      0.120308873521456,
      0.108754485630514,
      0.10244129602746,
      0.109387814220114,
      0.113946012261495,
      0.109124618397872,
      0.10968583356507,
      0.106880187957974,
      0.102019252693393,
      0.109644593289528,
      0.118405068202029,
      0.106856886213669,
      0.0934751323456076,
      0.100971974695235,
      0.123574800854957,
      0.132560567760029,
      0.112573512500961,
      0.0905989383231249,
      0.0904788117250737,
      0.109253155605952,
      0.123506260004138,
      0.114983458398017,
      0.0971144103889978,
      0.0885798108129835,
      0.100840179208512,
      0.126754965707153,
      0.136599448438423,
      0.11339370305218,
      0.0861415343592789,
      0.0918640051290083,
      0.123267238222838,
      0.134816974016025,
      0.112436532067899,
      0.109174132371843,
      0.138017085851571,
      0.163711626825076,
      0.146598762548908,
      0.123576070728947,
      0.132167452517643,
      0.144273902068758,
      0.136215919486866,
      0.127313463808668,
      0.127349135974344,
      0.12410461064626,
      0.12118755701977,
      0.114674838130348,
      0.107875433382706,
      0.110383484944881,
      0.117581101231089,
      0.119406010986494,
      0.109774262688977,
      0.0942380461518101,
      0.0883597189527701,
      0.0993531392711682,
      0.10930574269379,
      0.100784780182061,
      0.0939708056585063,
      0.108119172217322,
      0.130665276671246,
      0.128828538089099,
      0.104549121129141,
      0.0872709436551477,
      0.093977101887812,
      0.114649450409004,
      0.123512606096595,
      0.109721977380755,
      0.0935134999162593,
      0.091705634016975,
      0.110337744387186,
      0.134906785495743,
      0.131889629611965,
      0.105529487850358,
      0.0936568504403026,
      0.122633013404202,
      0.155707153587469,
      0.13300811452159,
      0.096318774564541,
      0.0959917188899259,
      0.112936507441656,
      0.1153041352097,
      0.106790889885245,
      0.100031013857179,
      0.0891871016641195,
      0.0657225985602133,
      0.0379250476825799,
      0.0142745467476745,
      0.00355983575231196,
      0.000544818449678008,
      6.99757085432021e-18,
      0.0027256630638833,
      0.0247463939526405,
      0.0782500472209926,
      0.126785805183769,
      0.134260636977053,
      0.142899075706006,
      0.14038961880224,
      0.127680692584738,
      0.121312433879308,
      0.1217988881026,
      0.121745336929702,
      0.129924719057174,
      0.135900668625679,
      0.130242272353754,
      0.120041618934037,
      0.128215028764522,
      0.146880296496727,
      0.159881582477193,
      0.159695563660016,
      0.14662946032187,
      0.128167611269587,
      0.1250429744983,
      0.137542407763715,
      0.146695536252351,
      0.137508382040459,
      0.124820800785616,
      0.130451589775011,
      0.146470957669641,
      0.157159724073332,
      0.15714947118131,
      0.149239139938738,
      0.132661510675826,
      0.12219322647746,
      0.133916201508108,
      0.153902765147919,
      0.145129894202464,
      0.13099486096846,
      0.137476847869175,
      0.146404786844986,
      0.144259845878319,
      0.150364582423109,
      0.162212445219629,
      0.155299342672284,
      0.145707457156934,
      0.163659758910724,
      0.174595509605989,
      0.147599740867481,
      0.128003150846678,
      0.137625827186648,
      0.146576128904559,
      0.136281493222443,
      0.132447713890109,
      0.143524890259416,
      0.147131201570664,
      0.1488934860635,
      0.159351607040158,
      0.148802304770132,
      0.119497945870467,
      0.112635855310598,
      0.130687772025125,
      0.159472374680227,
      0.158244886647867,
      0.127096802207806,
      0.111491668306707,
      0.127024325588724,
      0.145259578925325,
      0.149734585867157,
      0.133505016577267,
      0.114045021165035,
      0.115285202485125,
      0.137149751685549,
      0.16847432865746,
      0.162850297710122,
      0.126201726980959,
      0.108010414452163,
      0.134131022497157,
      0.159575378138996,
      0.148524670984362,
      0.133286055006199,
      0.130727135473039,
      0.128889963306929,
      0.129205451141302,
      0.140688406222111,
      0.153370644153071,
      0.1406115841634,
      0.114937952853537,
      0.113056784441512,
      0.125989927972459,
      0.13783086407355,
      0.145632557648091,
      0.145880485052243,
      0.138560387327556,
      0.133670476789349,
      0.14154972115974,
      0.151752177777866,
      0.143829973083078,
      0.132301744017383,
      0.134130412720609,
      0.146882299977399,
      0.161435173666409,
      0.155663755305997,
      0.13448752327634,
      0.122178106703127,
      0.128954591835443,
      0.141116778882943,
      0.153920913612758,
      0.154869435623662,
      0.138808137124347,
      0.132915337013699,
      0.150740381515434,
      0.164886950984274,
      0.153390935493875,
      0.134340519132608,
      0.124579004673854,
      0.132908143418968,
      0.142185852340793,
      0.145854411062831,
      0.144878168721006,
      0.133500764354715,
      0.125976564448307,
      0.148605432928175,
      0.168351929691882,
      0.145597160158328,
      0.115494526979695,
      0.119449614977076,
      0.145147800076654,
      0.162586378168923,
      0.14210510876823,
      0.113528369483506,
      0.112489791058689,
      0.133531550252043,
      0.154740300490222,
      0.151297243082491,
      0.127936345821773,
      0.111772125797686,
      0.122697360399539,
      0.1518595281534,
      0.171481725188257,
      0.145778435856432,
      0.106698636914197,
      0.113104567931279,
      0.145499270689865,
      0.144894037303039,
      0.112527719432535,
      0.114264503481035,
      0.155424244394906,
      0.183939509886449,
      0.157522271781247,
      0.131866504296255,
      0.134221919726248,
      0.137721099843525,
      0.131576006787959,
      0.133809127089809,
      0.142052825539905,
      0.147038861621882,
      0.147992015266046,
      0.139526983140626,
      0.125961246601375,
      0.124397034021431,
      0.133715122402905,
      0.144481621925722,
      0.142193422652138,
      0.125866406185741,
      0.115401958540952,
      0.131177147009515,
      0.147224961720571,
      0.131013532122059,
      0.114892186205352,
      0.128141860892764,
      0.157123587399495,
      0.164080771731464,
      0.135131126324546,
      0.109294202361472,
      0.116381568773109,
      0.139337936866607,
      0.153711152402544,
      0.140807760797638,
      0.117429721228589,
      0.111927360903072,
      0.13129963893607,
      0.161915174265748,
      0.166826768022235,
      0.13462331140103,
      0.110388112758845,
      0.125374742947512,
      0.146576782799518,
      0.130060644557314,
      0.106140499867926,
      0.107924727469254,
      0.125169968141247,
      0.132128487909674,
      0.129387253504284,
      0.129417672626555,
      0.129427370032914,
      0.0989897384172805,
      0.0503688626738375,
      0.0144714920226852,
      0.00313676302018434,
      0.000330822751470301,
      2.79902834172809e-17,
      0.00468986966374262,
      0.0409665566472742,
      0.120616565066531,
      0.188061186518335,
      0.195280958152995,
      0.188896184507476,
      0.172138137403827,
      0.175991745587992,
      0.174911977347838,
      0.149085318852403,
      0.127698627291901,
      0.148985036897042,
      0.177428969734347,
      0.173336746159193,
      0.149854604888924,
      0.155829456042385,
      0.179494042434113,
      0.197911806575788,
      0.195320377207917,
      0.176146434833894,
      0.154615578294622,
      0.149301604146518,
      0.178731235545163,
      0.202572753195668,
      0.179909278492949,
      0.150520584535792,
      0.158063572137076,
      0.180412270437247,
      0.192039863690131,
      0.190543776452963,
      0.177898765977646,
      0.155412850504332,
      0.146070940663972,
      0.176640666541866,
      0.203381069778292,
      0.177123611207684,
      0.147826296935767,
      0.151938461735308,
      0.16417849425459,
      0.172856319403379,
      0.186683598223311,
      0.189388291626404,
      0.169651035242808,
      0.164168080843489,
      0.189129780439964,
      0.194807825960102,
      0.161914606207948,
      0.141851039262271,
      0.151937055063991,
      0.167407605024663,
      0.169260977485975,
      0.174228398618502,
      0.186992551521375,
      0.183490636455645,
      0.178707982714404,
      0.195342077762927,
      0.193239052667698,
      0.158998090567757,
      0.145280348925377,
      0.160392294527548,
      0.18641687006001,
      0.183408779305702,
      0.159355524394294,
      0.152161816762341,
      0.16794321415043,
      0.18009170391033,
      0.178579592782845,
      0.161712278486777,
      0.143178352355654,
      0.144456965919789,
      0.167435228160826,
      0.196207277052176,
      0.185502182422607,
      0.154701494070954,
      0.142125469949148,
      0.169467021001941,
      0.191854871035386,
      0.176881313238472,
      0.158400738485296,
      0.155363953223498,
      0.153260533312161,
      0.157225403485595,
      0.169044473181459,
      0.181507856829059,
      0.173657455098994,
      0.150105014643815,
      0.147413567565488,
      0.171244800338536,
      0.193100448164669,
      0.188420307854958,
      0.170551078984749,
      0.160971192724875,
      0.161829166717923,
      0.172353330199216,
      0.184551930236217,
      0.177971159351734,
      0.157203905797838,
      0.150008334110847,
      0.172460524702483,
      0.207219022490325,
      0.199759954971015,
      0.1654891597965,
      0.151795619276504,
      0.158417735961043,
      0.171959432945155,
      0.190611104425523,
      0.187270559149748,
      0.159897385161909,
      0.146589951265787,
      0.176820884660052,
      0.20831220764578,
      0.189493481440909,
      0.158223235580202,
      0.149855165185822,
      0.157048007462878,
      0.170350156106216,
      0.186020299307033,
      0.185474735797165,
      0.166812271292887,
      0.153180947547777,
      0.182337632367863,
      0.20724605602057,
      0.181991883940611,
      0.148364056457278,
      0.153581674111175,
      0.179353081172277,
      0.19334199465979,
      0.171260801843256,
      0.146717141855573,
      0.149447348013936,
      0.170220697016264,
      0.190007558272055,
      0.182115140807723,
      0.157306774588295,
      0.141066014791628,
      0.151057917004667,
      0.177474537026021,
      0.192406412241162,
      0.169544024006112,
      0.141741963577445,
      0.149035618563862,
      0.168432700659345,
      0.159702233544966,
      0.123061156857708,
      0.115043969684726,
      0.143303775475964,
      0.163284846633261,
      0.14566604390377,
      0.137418379887063,
      0.144375512226319,
      0.146969098635575,
      0.143078694800079,
      0.150920172790046,
      0.166459460471194,
      0.187172047549863,
      0.197901681783161,
      0.185333622980896,
      0.168293621180528,
      0.166449854618861,
      0.178285384619056,
      0.198761003525129,
      0.204867436911713,
      0.178307621930208,
      0.150149036835225,
      0.171694102909995,
      0.202280250702243,
      0.177941382413416,
      0.145243031986954,
      0.153632041495747,
      0.181201888170427,
      0.18618055838991,
      0.161597885076074,
      0.144959886400317,
      0.158442994141885,
      0.180331539261845,
      0.188698347687363,
      0.171577355236745,
      0.14901410658572,
      0.144094700734069,
      0.16276239178443,
      0.190865543908286,
      0.189743867548518,
      0.159836088712785,
      0.139222318585054,
      0.147118014315037,
      0.154297281736682,
      0.141310644130455,
      0.135102498343244,
      0.138940485720882,
      0.137375463810863,
      0.144218693167878,
      0.160793243794282,
      0.164430043285638,
      0.149467698723997,
      0.106497518491572,
      0.049967587986718,
      0.0142783214603672,
      0.00318646111360622,
      0.000282432804569316,
      3.49878542716011e-17,
      0.00778776904677863,
      0.0592417823471619,
      0.145081987356582,
      0.192628036339307,
      0.184215580646841,
      0.163082948837708,
      0.13602667327511,
      0.144247852102654,
      0.149784259611551,
      0.135061439555128,
      0.123767484803292,
      0.1463934951831,
      0.170169550316278,
      0.161179356780223,
      0.137452486481996,
      0.13980297003605,
      0.153230058093137,
      0.161206270468091,
      0.155943538112147,
      0.145457207929777,
      0.137954786233672,
      0.14081395217671,
      0.16765306877902,
      0.183689805010422,
      0.160217966909206,
      0.135455209949898,
      0.140486908378422,
      0.156046288309014,
      0.162012059739376,
      0.156141319876417,
      0.147717017654476,
      0.13935254417552,
      0.136810486238242,
      0.160322579060338,
      0.183968566840892,
      0.165859764128968,
      0.139474759677652,
      0.142618236566561,
      0.158599807527675,
      0.167718361477002,
      0.173990108527764,
      0.172112614337571,
      0.153510088223435,
      0.146450097958182,
      0.162424735757378,
      0.169425377564495,
      0.149678058659038,
      0.134326780625886,
      0.142671997240865,
      0.16074384858192,
      0.166695808693585,
      0.166488953779901,
      0.16938316772796,
      0.160558094892429,
      0.145260353526096,
      0.143655804812824,
      0.148851404767519,
      0.141128707012436,
      0.141524166704246,
      0.166877202831299,
      0.188294861313043,
      0.165211779694118,
      0.138342930945705,
      0.135542016695154,
      0.155077319912001,
      0.171701857894547,
      0.157023105000928,
      0.136185507100491,
      0.131557842439449,
      0.141650841477521,
      0.169500018106001,
      0.189156609379701,
      0.162282358538725,
      0.135638412154378,
      0.136361115943406,
      0.176336474906874,
      0.204109085964872,
      0.167662313643341,
      0.127162017609476,
      0.121606429544686,
      0.122382450843233,
      0.129844919933078,
      0.147871052284078,
      0.163880771291863,
      0.162203397013867,
      0.149184905979712,
      0.147086839909212,
      0.164273200761689,
      0.178261120174719,
      0.160498918385749,
      0.136395128181225,
      0.130031182862556,
      0.136119263312861,
      0.151266976025743,
      0.163849710741621,
      0.157325382784427,
      0.140827374828653,
      0.1376992937403,
      0.151475496655591,
      0.167426039607971,
      0.16240266868666,
      0.145757004085881,
      0.141796095851592,
      0.152881563978438,
      0.166953732783534,
      0.168652863167039,
      0.151371316764576,
      0.133903549097529,
      0.131465714915592,
      0.154901487886048,
      0.180676024874544,
      0.170905967456065,
      0.146860469928658,
      0.143491909362273,
      0.157030552036241,
      0.171615617081287,
      0.172425565653992,
      0.16029065672227,
      0.151469129460829,
      0.145873106409329,
      0.158074051415675,
      0.16882409262954,
      0.156034273767068,
      0.137304943730948,
      0.149084032264818,
      0.180025688234984,
      0.180085089285363,
      0.146493234849439,
      0.12848257531107,
      0.136317482270977,
      0.1601729627221,
      0.172641659455711,
      0.152600822402264,
      0.136079172094805,
      0.13440445122798,
      0.151847290871334,
      0.180245724763816,
      0.17782649225325,
      0.144799375797258,
      0.12439470702317,
      0.129014305883197,
      0.149299633847465,
      0.153817236074266,
      0.12251304088998,
      0.109141122088122,
      0.127560909046145,
      0.146285841272444,
      0.140748983174452,
      0.136265786377743,
      0.137768920609295,
      0.144460822467748,
      0.150118301006439,
      0.149773100557514,
      0.147771658540158,
      0.164982077248511,
      0.176353667340921,
      0.160211706899738,
      0.144883592541177,
      0.146320862851662,
      0.158839695941102,
      0.170131011630052,
      0.16779341160628,
      0.146967384400092,
      0.126809533660613,
      0.137445282965735,
      0.15808285633463,
      0.151195602960409,
      0.138502422997971,
      0.156650238470192,
      0.184819860214558,
      0.170815173005461,
      0.138295048311875,
      0.127113141490608,
      0.144047876378353,
      0.172117842436287,
      0.173069433621052,
      0.146958054159073,
      0.134117587281561,
      0.138341500416886,
      0.160485058438261,
      0.183490182195938,
      0.165924233689339,
      0.136684058833918,
      0.133440094253882,
      0.160956696587936,
      0.17749613055202,
      0.145342943160822,
      0.118094417459986,
      0.116382785837109,
      0.113750150656825,
      0.11964304773754,
      0.140077314030032,
      0.143960895338339,
      0.12059472854752,
      0.0804958154869136,
      0.039675286920766,
      0.0129790832443742,
      0.00291356453829491,
      0.000207640353694227,
      1.39951417086404e-17,
      0.00612180418465696,
      0.0470550643640759,
      0.109860767230427,
      0.131685567711798,
      0.116446924986698,
      0.108084461641648,
      0.0961811231719246,
      0.0953108044058386,
      0.0948533725339587,
      0.0927246751106273,
      0.0955687327071463,
      0.110191696832816,
      0.123267210396641,
      0.123802456980603,
      0.115204064246214,
      0.109413315645636,
      0.107261926086135,
      0.106536287776165,
      0.108791711762735,
      0.109519991924232,
      0.109003864445263,
      0.110081015327475,
      0.124234547109292,
      0.137938417525212,
      0.130834863380291,
      0.115672163639456,
      0.107469862471473,
      0.106626193350936,
      0.108139772547844,
      0.111368131424882,
      0.109766589924761,
      0.103965166640066,
      0.101215416888193,
      0.113412356582762,
      0.134692469833802,
      0.134637456655828,
      0.118542282217079,
      0.114891898008576,
      0.130588558062195,
      0.142614516804207,
      0.144452275693998,
      0.14055705800444,
      0.128587892223492,
      0.11936435818355,
      0.122429958720045,
      0.13103049395336,
      0.126416592686152,
      0.113600170256264,
      0.114621968510474,
      0.133687509425947,
      0.140187068364975,
      0.135184853353755,
      0.136326158675045,
      0.125839616313309,
      0.108627257131727,
      0.104982442082065,
      0.105817750384592,
      0.100765417658651,
      0.104109716540197,
      0.121146659151642,
      0.136968507770554,
      0.125543704136187,
      0.107274620272548,
      0.104236189777855,
      0.117232226848669,
      0.130913231035888,
      0.122287648580924,
      0.103496314245435,
      0.096749387170816,
      0.104280097348585,
      0.123705560637392,
      0.139328125065813,
      0.123339626609942,
      0.103429558586116,
      0.106326271296174,
      0.138818386198695,
      0.158886555401619,
      0.12657235736407,
      0.0939892657022357,
      0.0887510164254187,
      0.0867535952392901,
      0.0873424034149588,
      0.101747522822619,
      0.122724617784942,
      0.131821254201012,
      0.124724196103861,
      0.120148931899712,
      0.124435822021739,
      0.120138656743815,
      0.103795719498237,
      0.0947135892815326,
      0.089978817297384,
      0.0914462043469874,
      0.106459179134782,
      0.127461883926361,
      0.131064854548274,
      0.119606338353979,
      0.115733051156072,
      0.118299998755366,
      0.115907576535755,
      0.115896753609991,
      0.11706180708527,
      0.118442087026472,
      0.124360002250234,
      0.135137869056559,
      0.133136350930414,
      0.112886081966078,
      0.101551792573303,
      0.103632588592298,
      0.113655738147973,
      0.129612834689581,
      0.132635801571127,
      0.121795643147006,
      0.118973423409787,
      0.128816032379823,
      0.140024410664947,
      0.133782653028956,
      0.117250808996781,
      0.115241397710115,
      0.112990814622462,
      0.11333639480151,
      0.121783223906756,
      0.117388568746837,
      0.10532661658347,
      0.111301580096302,
      0.13257180811906,
      0.135322129603062,
      0.112220340091177,
      0.097088163984152,
      0.101508342835516,
      0.116839114178427,
      0.128953061456386,
      0.118131912581717,
      0.102365816860701,
      0.0993412382350473,
      0.110757465783422,
      0.130229834615572,
      0.131028351808272,
      0.108975172760243,
      0.0912531870337933,
      0.0975095586621527,
      0.12505604537124,
      0.136232584472036,
      0.108750178566712,
      0.0995725574159586,
      0.118535858257721,
      0.139195904069416,
      0.138357005698363,
      0.129424279294884,
      0.120965269420808,
      0.124646762511267,
      0.131979448566954,
      0.128299552835684,
      0.116006125671994,
      0.118294425895245,
      0.12322296232769,
      0.113030276981645,
      0.10203565821684,
      0.102062153498767,
      0.112678338450627,
      0.123527078503841,
      0.118850618195436,
      0.100416214879135,
      0.0907986702626223,
      0.102087992065964,
      0.111065589065034,
      0.103730922039217,
      0.101718359389336,
      0.114331230604527,
      0.131708009106833,
      0.125520537178848,
      0.105163904464086,
      0.096802290049113,
      0.107353048398378,
      0.12640918738708,
      0.129849492118611,
      0.11160104205067,
      0.0991901922613704,
      0.102317206678273,
      0.117890951288002,
      0.13675513937705,
      0.128518424060313,
      0.105116401397137,
      0.101807538685399,
      0.133124200196873,
      0.157461714305279,
      0.124601097215989,
      0.0872838233409045,
      0.0864791475963152,
      0.0973757192260813,
      0.100061605273958,
      0.104612726165154,
      0.10850702247473,
      0.0992271051293722,
      0.069494642558329,
      0.0359706180488793,
      0.011645193161522,
      0.00251868528494406,
      0.000175666238596893,
      1.22457489950604e-17,
      0.00196254114075944,
      0.0196859314703296,
      0.0580719742506504,
      0.0884453256010765,
      0.0892659173434073,
      0.0896242276458682,
      0.0899361934153256,
      0.0908800933922364,
      0.089313291707973,
      0.0867184279769581,
      0.0878063762640552,
      0.0962808110455038,
      0.106283366115439,
      0.10844110677725,
      0.101273638357456,
      0.093860006790222,
      0.0910856199691771,
      0.0910942638234103,
      0.095946545869049,
      0.0958317881825709,
      0.0912254651887527,
      0.0883969363103187,
      0.0976056105128024,
      0.112748191546488,
      0.112205372941365,
      0.100142270244314,
      0.0921153454064234,
      0.0896027482297378,
      0.0907364017766632,
      0.0980512894803497,
      0.0985048551151421,
      0.0892209512869584,
      0.0843482943323783,
      0.0940754298479422,
      0.111372095172077,
      0.111610156923964,
      0.098366080422205,
      0.092141224477257,
      0.107222183399886,
      0.123162452112417,
      0.124552380230108,
      0.11766151022821,
      0.108083750342335,
      0.101071264414047,
      0.10074776636823,
      0.105960408700995,
      0.104699625492415,
      0.095231980891396,
      0.0936646857973822,
      0.113105666838154,
      0.123199987147373,
      0.117054429025854,
      0.116961808287584,
      0.110841564998142,
      0.103230037793166,
      0.107830229271759,
      0.103617362926531,
      0.08650733422312,
      0.0803859996016952,
      0.0930299741637163,
      0.112092277870658,
      0.110542539394042,
      0.0932250309179531,
      0.085301597088083,
      0.0941133560914951,
      0.110631785975297,
      0.112680790092416,
      0.0944408879968693,
      0.0794731015729831,
      0.082669400042841,
      0.101539303238239,
      0.120238206695484,
      0.110283313627222,
      0.0895929552874714,
      0.085597204587069,
      0.101903449108927,
      0.115086249962377,
      0.100020077639555,
      0.0809527959646213,
      0.0772582901704478,
      0.0763159343746126,
      0.0743480786794505,
      0.0840813795956453,
      0.102280219466826,
      0.106878389913916,
      0.0953665014297779,
      0.0899642229485595,
      0.0968525440636689,
      0.0997942816293136,
      0.0901008926001148,
      0.0836301451415548,
      0.0796614931610211,
      0.0777075283361452,
      0.0861957792646378,
      0.102343171528728,
      0.104304735087894,
      0.0939715556646744,
      0.090324206237815,
      0.0973080805970022,
      0.103936866181657,
      0.104030325928798,
      0.0994062308794865,
      0.0954469947789395,
      0.0943406936505195,
      0.103575604492172,
      0.110443365752731,
      0.0996214792505987,
      0.0870120282293267,
      0.0849522378338532,
      0.0933927108473526,
      0.107494861579238,
      0.109190372370477,
      0.101286507407899,
      0.0966741802155151,
      0.097857720231105,
      0.107835217963304,
      0.11229690772162,
      0.103289667903679,
      0.0952359265443505,
      0.0911259824424988,
      0.0993329945421601,
      0.112420055593609,
      0.101098700792626,
      0.0822883501748124,
      0.0845440760715246,
      0.105432202411952,
      0.116802073376987,
      0.0999690205213168,
      0.0819283301919698,
      0.0819770133737312,
      0.0952197811762364,
      0.112004479369208,
      0.108198474856964,
      0.0891518313321777,
      0.0797902985097132,
      0.0877668907013728,
      0.107229443174381,
      0.115149136339036,
      0.0970610765451028,
      0.0764857151001428,
      0.0813829859688555,
      0.110555139419478,
      0.121528470962868,
      0.0975056730855255,
      0.0890526244473072,
      0.105861598315101,
      0.124128465254834,
      0.122675684440509,
      0.116043340735045,
      0.113129695054636,
      0.114705709784031,
      0.117104448649283,
      0.118158249720209,
      0.115833238254407,
      0.114132990095333,
      0.109938609910676,
      0.102253212146946,
      0.0954273713213876,
      0.0932020971121071,
      0.100721671949198,
      0.111367308551213,
      0.107155503677666,
      0.0896183949899875,
      0.0837237483779589,
      0.100635042858666,
      0.107145615116961,
      0.089354985054948,
      0.0797420593043111,
      0.0887021288142904,
      0.108597644815457,
      0.111859686107453,
      0.0921855337532542,
      0.0780652099407907,
      0.0837709939172816,
      0.102406895937026,
      0.114988327095587,
      0.102387257442045,
      0.0839083634296343,
      0.0814139052983918,
      0.0959026540311333,
      0.116771268723282,
      0.115156087653639,
      0.0936637539006732,
      0.0849684772170172,
      0.102009367751737,
      0.117588514033018,
      0.100459032605664,
      0.0782467687511026,
      0.0844237753897201,
      0.10388418169359,
      0.107208245321431,
      0.102097005381685,
      0.10349538886279,
      0.0990907416912763,
      0.0721092330404061,
      0.0365826714747653,
      0.0113824795972791,
      0.00241621675583638,
      0.000180458338069382,
      1.92433198493806e-17,
      0.000952437290289978,
      0.0125431372425382,
      0.0446161754508757,
      0.0811267895304209,
      0.0943304226559269,
      0.0965803053133843,
      0.0909794666213556,
      0.0868707676053893,
      0.0877949435840986,
      0.0901952718496856,
      0.0906193601646525,
      0.093625642796138,
      0.0967141345390745,
      0.0900173048544439,
      0.0810683243500207,
      0.0835900932723178,
      0.0902403800623578,
      0.0920342580428429,
      0.09263663156591,
      0.0897221744013969,
      0.0828529160462947,
      0.0801791627005104,
      0.0899036183953924,
      0.0989917381105678,
      0.0897140812557253,
      0.0784832194555455,
      0.0827823667930159,
      0.0896964882479121,
      0.0910558537859537,
      0.0926316018670282,
      0.0907563941650158,
      0.0824539752517637,
      0.0779282443452458,
      0.0877140624567853,
      0.102823782396095,
      0.100668232254063,
      0.0901883650203775,
      0.0873763485545822,
      0.0936491609928579,
      0.10052618284601,
      0.101600220095918,
      0.099220690315103,
      0.0979436618300751,
      0.097651651715801,
      0.0999303541191525,
      0.100197244943916,
      0.0934968259666248,
      0.0861168601635174,
      0.0863937505887112,
      0.0948266757785763,
      0.0985898610234488,
      0.097755383478062,
      0.101138150005803,
      0.0997983750375765,
      0.098048423935344,
      0.105162234263451,
      0.100303867044172,
      0.0826413574924379,
      0.0774332849818407,
      0.0947161275458315,
      0.113153128369597,
      0.106687432262635,
      0.0877213420834375,
      0.0804457355151555,
      0.0888054548021806,
      0.104224393730618,
      0.105703911470392,
      0.0881716046244475,
      0.0736977717236752,
      0.0777750384607129,
      0.099832766286511,
      0.117415220767679,
      0.104078382633308,
      0.0839404831324208,
      0.0802980304449767,
      0.0922578130618394,
      0.102039474878059,
      0.0924266319172146,
      0.0776454715560037,
      0.072181158742996,
      0.0715259763836253,
      0.0736557790431552,
      0.0800512046691399,
      0.0904339735623226,
      0.0931023072958699,
      0.0819397114390006,
      0.075524683538957,
      0.0856131052023595,
      0.0973887556211729,
      0.091922938040387,
      0.0805807396668289,
      0.0762035388230964,
      0.076633415376101,
      0.0815884772070745,
      0.0916483491372102,
      0.0918057012464542,
      0.0797415184960348,
      0.0742069676732913,
      0.0852770336597798,
      0.100873296072225,
      0.10329216689314,
      0.0929862383661407,
      0.0839799170572385,
      0.0827732194020941,
      0.0917605035900119,
      0.097125191980767,
      0.0923496291394786,
      0.0846337820462037,
      0.0828515310276466,
      0.0896819435182893,
      0.097216663237759,
      0.0977002876304436,
      0.0920744024432651,
      0.0853212603761249,
      0.0838654478290865,
      0.0917163488520864,
      0.0957269548074398,
      0.0927576477157861,
      0.0847503640694185,
      0.0786556596891426,
      0.0896762933317823,
      0.102929944025417,
      0.0903646406680365,
      0.0751776550656826,
      0.0820812927511024,
      0.104982113142225,
      0.114352640756666,
      0.0948796161307057,
      0.0761868684682704,
      0.0768422075822023,
      0.0924584270241233,
      0.108640881874464,
      0.102435202430286,
      0.0828490930605105,
      0.0740050188228088,
      0.0861893116718117,
      0.109971352754689,
      0.115377154139715,
      0.0928879589532917,
      0.0732773522824007,
      0.079182231644976,
      0.106525726479942,
      0.114906727727537,
      0.0930015946074074,
      0.0805665931702612,
      0.0929497698928202,
      0.115324254968128,
      0.118288731486869,
      0.109908726073563,
      0.114199319259856,
      0.124044526902757,
      0.12429173568848,
      0.122516135064354,
      0.121332364759354,
      0.11564439124744,
      0.107969630818739,
      0.101130509471085,
      0.0963095306865056,
      0.0936100443512591,
      0.0971418446562542,
      0.105399654402701,
      0.104273593846011,
      0.0867445470052718,
      0.0762454570163446,
      0.0906632283881139,
      0.101334066515183,
      0.0869751919787849,
      0.0762343174297796,
      0.0893331352789596,
      0.112076342076319,
      0.110862207041613,
      0.0871061151210109,
      0.0737984064459312,
      0.0808580199626169,
      0.0993407091449064,
      0.109243241430318,
      0.0957478670277613,
      0.0773290699771954,
      0.0740444704965534,
      0.0895174149911326,
      0.110653281352171,
      0.107776331129659,
      0.0865446352418707,
      0.0798887932162816,
      0.0977093409327946,
      0.109511835129199,
      0.0957465038393255,
      0.0817627488388188,
      0.084081766209571,
      0.0908693669350666,
      0.0995867292867642,
      0.107702303073839,
      0.110298063876231,
      0.0998474975907279,
      0.072246463264088,
      0.0347783152641742,
      0.0112763750532122,
      0.00226722833468944,
      0.00014145406903261,
      1.39951417086404e-17,
      0.000822365330511056,
      0.0118476398864276,
      0.0431718461249787,
      0.0793562526345365,
      0.0951674963602768,
      0.0970243526849581,
      0.0878034922583699,
      0.0841047292888281,
      0.0899302259776403,
      0.0944353123609073,
      0.0931091985873839,
      0.0964557380891504,
      0.0985506349759666,
      0.087218725179481,
      0.0767853873819483,
      0.083294495262358,
      0.0933996548456924,
      0.0973888662374603,
      0.0973765969971666,
      0.0935013262067372,
      0.0842555507153987,
      0.0834282013830119,
      0.0944753077155261,
      0.0982004706083798,
      0.0853279785837663,
      0.0772121909750372,
      0.0844291285584097,
      0.0935006178361759,
      0.0956137205174403,
      0.0967703341265535,
      0.0966815676676677,
      0.0865297585133501,
      0.0752563133609609,
      0.0862065703511176,
      0.111392726996981,
      0.110231138401389,
      0.0934411061716083,
      0.0888079157923205,
      0.0888541895358856,
      0.0910401620784291,
      0.0932594278655407,
      0.0962867401590262,
      0.10133346335854,
      0.101045238408692,
      0.107389525033254,
      0.115025669175705,
      0.103891720410114,
      0.0891477151627014,
      0.0869643115417447,
      0.0865034484053469,
      0.0854793173925189,
      0.0900042886457144,
      0.0978768173681546,
      0.0984239824021975,
      0.0963166334231852,
      0.0969585615519126,
      0.0882781465857295,
      0.0774719484995577,
      0.0781643635467832,
      0.0911743157802454,
      0.106678321593009,
      0.102649601090672,
      0.086430386868477,
      0.0819594579136713,
      0.089058817597835,
      0.103635944897018,
      0.106580935607831,
      0.0889937462857863,
      0.0744713338854806,
      0.0767802129681482,
      0.092304527179963,
      0.10933124516282,
      0.101901790909712,
      0.0836802440076766,
      0.083220810375503,
      0.102708490100041,
      0.113063515724859,
      0.0973530099764635,
      0.0830691210895678,
      0.0794305805302042,
      0.0799686142574508,
      0.0840504929578089,
      0.087934374274982,
      0.0930760980337233,
      0.0928066765201002,
      0.0808471638182196,
      0.0765871396979898,
      0.0876486656439593,
      0.0965596651965431,
      0.0923375824469575,
      0.0852989302155714,
      0.0845329280642879,
      0.0865668494575457,
      0.0884336104698956,
      0.0930066546954598,
      0.0920143268135424,
      0.0831189711764711,
      0.0804357954864498,
      0.0884856866422536,
      0.09906405245136,
      0.1012593101047,
      0.0915073165751971,
      0.0822053130959247,
      0.0840484527623804,
      0.0914335931566977,
      0.0952213459212678,
      0.0967286447472241,
      0.0909999740874967,
      0.0852854652605684,
      0.0885941912109028,
      0.0932178914024241,
      0.0941826324057025,
      0.0884360769323616,
      0.0816523243436787,
      0.0840706459332718,
      0.0888499535564378,
      0.0892307126123959,
      0.0913024803549843,
      0.0876237224879885,
      0.083182805971891,
      0.0917178919798946,
      0.0967856242564635,
      0.0855331588182859,
      0.076456802100239,
      0.0820925667913053,
      0.100800237567481,
      0.109353898935381,
      0.092550729563482,
      0.0772400168764448,
      0.0789690556212158,
      0.0920906304066834,
      0.104201547163763,
      0.0970730508295013,
      0.0801162758663534,
      0.0736508283513039,
      0.0807510927847226,
      0.0998898717883206,
      0.109626934911699,
      0.0933763664783478,
      0.0766406490801586,
      0.0898892947208012,
      0.116535682804338,
      0.12045166718975,
      0.0982207345535981,
      0.0824813737532378,
      0.0904751981597653,
      0.117510369307629,
      0.122179150382512,
      0.108743849081199,
      0.119038191774704,
      0.140922658114803,
      0.139286371582852,
      0.128176904920119,
      0.122223596419585,
      0.115126130409959,
      0.108107774302746,
      0.0978464603539184,
      0.0914527162701194,
      0.0926303351739173,
      0.0978796759060155,
      0.100772606785645,
      0.0955957159800809,
      0.081037125491811,
      0.0747981832324285,
      0.0843636214049156,
      0.0907541253996689,
      0.0822082031746759,
      0.0766374429573641,
      0.0858589104064373,
      0.105058716532254,
      0.106066726795195,
      0.0861308762707475,
      0.0756429792450335,
      0.0834326336113542,
      0.0999603237347307,
      0.105823817394768,
      0.0918488511928416,
      0.0769797901755337,
      0.075950455747884,
      0.0886381809081837,
      0.106503608049713,
      0.104671853392353,
      0.0859472872326332,
      0.0814852143118768,
      0.104263941072696,
      0.116611553021494,
      0.0946762844234078,
      0.0772021766634951,
      0.0756717081288422,
      0.0727342504531088,
      0.076361084019423,
      0.0861842255787629,
      0.0880403309233064,
      0.0779369152548871,
      0.0567239623439639,
      0.0288485773899629,
      0.0102200412247384,
      0.00192585792937885,
      0.0000871485420784947,
      3.49878542716011e-18,
      0.00102861427209711,
      0.0142821015055644,
      0.0494480950574137,
      0.0853303668400269,
      0.0941499188302814,
      0.0913332764541075,
      0.0853314337578622,
      0.087171327584962,
      0.0925721320541799,
      0.0924068233891248,
      0.0941154079343933,
      0.10797391469746,
      0.112566184891249,
      0.0981795243708662,
      0.0863488420799704,
      0.0920324384201436,
      0.103736143425788,
      0.11181407256928,
      0.112249409403029,
      0.10324342088378,
      0.0899724323011112,
      0.0893499106165657,
      0.10025577042129,
      0.10585303910629,
      0.0973011654744126,
      0.0898334493029025,
      0.095218983840476,
      0.106284829804338,
      0.112880470870226,
      0.112768485360215,
      0.108593884900091,
      0.0985020958514608,
      0.0905079175306676,
      0.101407004577193,
      0.124240847089792,
      0.119379449490109,
      0.103437603236027,
      0.102649469520762,
      0.104007903946898,
      0.103722459419853,
      0.108623865040093,
      0.116491172000924,
      0.117444914447689,
      0.112921359557788,
      0.123316781809849,
      0.134463289068399,
      0.118316714805756,
      0.101094768179554,
      0.100709383445446,
      0.0996979629945625,
      0.0939314971446976,
      0.0954496053025272,
      0.103207608388746,
      0.107511643638473,
      0.108027982530695,
      0.105479735711685,
      0.0956336498161865,
      0.0848608313678194,
      0.0859780465713902,
      0.101824679253685,
      0.121137929304123,
      0.114683319343607,
      0.0953687579625659,
      0.0886813748658431,
      0.100024118209613,
      0.118108897592132,
      0.121076581156738,
      0.101600807392614,
      0.0836695345714644,
      0.0856826355966937,
      0.105553156442682,
      0.12695171427355,
      0.117001762924753,
      0.0949343272081672,
      0.0898514826842807,
      0.105566822882276,
      0.11636957531137,
      0.106962748214269,
      0.0969181029562798,
      0.0948469631867979,
      0.0956226648178563,
      0.0959219263095635,
      0.099057444523691,
      0.104842677788445,
      0.0991723342622987,
      0.084331447958578,
      0.0836482926955928,
      0.0951659733552812,
      0.101986364829306,
      0.1024458949772,
      0.103328259487409,
      0.104061712314823,
      0.10162875643958,
      0.102805077161283,
      0.106701879194562,
      0.101991443181238,
      0.0927647448874858,
      0.0933496413565784,
      0.100818481777371,
      0.105997756677203,
      0.101391676932147,
      0.0911144789604093,
      0.0866061890503225,
      0.0943662317794812,
      0.101873022085825,
      0.106743522766727,
      0.107792490714701,
      0.0990967030302162,
      0.0943222124461614,
      0.10239392513914,
      0.108988167200092,
      0.10222945641294,
      0.0911257633842443,
      0.0869283571477834,
      0.0920711095534238,
      0.094595160909275,
      0.0970650204109749,
      0.102219472875837,
      0.101468728257912,
      0.102920517932307,
      0.113055912235225,
      0.112091070839247,
      0.0970812875285601,
      0.0849502790879778,
      0.0913360048071844,
      0.112688385007536,
      0.120536054530844,
      0.101760044917587,
      0.0841608859673602,
      0.0859627682259245,
      0.10403860350606,
      0.117307001940854,
      0.107675859055666,
      0.0904235987442216,
      0.0812555707255631,
      0.0911421689271368,
      0.115363377088882,
      0.126907907961934,
      0.107511089487863,
      0.0857902227959229,
      0.0931869292839839,
      0.111891539548021,
      0.114480627850665,
      0.0950470406382251,
      0.0886494337149559,
      0.107364944521548,
      0.132542114052153,
      0.126275408919918,
      0.111955816531796,
      0.118174686865597,
      0.132248682744802,
      0.128482346083141,
      0.122361245345772,
      0.118994660928968,
      0.115878609606616,
      0.112666723342975,
      0.101399027017499,
      0.0914819816554397,
      0.0934761447509775,
      0.102286218567522,
      0.105932950146599,
      0.0972684947183122,
      0.0869948796293382,
      0.0855684020795844,
      0.0900594610752293,
      0.0931713286354494,
      0.088371868420491,
      0.0839699189334678,
      0.095441130856627,
      0.116878604553749,
      0.117202702179533,
      0.0971608837570658,
      0.083866076363471,
      0.0915541488357656,
      0.1102806805716,
      0.115912006655075,
      0.100701129120401,
      0.0856289447975837,
      0.0843501303640753,
      0.101871549016585,
      0.124372216339284,
      0.121202569090477,
      0.0989917991011673,
      0.0897619916201649,
      0.103885729150293,
      0.116156846150719,
      0.101795305094478,
      0.0835789077023442,
      0.0815271816119307,
      0.0863968177985153,
      0.0860838755494215,
      0.0824916698374643,
      0.0769789115359619,
      0.0692667395707856,
      0.0512666648201412,
      0.0278385774713461,
      0.0093994289538099,
      0.00184987082311421,
      0.000107110051383975,
      3.49878542716011e-18,
      0.00119097698739571,
      0.0168811270217522,
      0.0569985358312549,
      0.0932655772154169,
      0.092513261607101,
      0.0848355767210219,
      0.0831443250247103,
      0.0878827092699104,
      0.0915327732830129,
      0.0939142433124029,
      0.100197983612452,
      0.122668374465584,
      0.136251106932511,
      0.125863079962829,
      0.110872151923454,
      0.113051042649489,
      0.127532378509581,
      0.142060918367895,
      0.142383097474597,
      0.126442863702707,
      0.110921819856652,
      0.107707613281728,
      0.119681420227335,
      0.135486476016287,
      0.129916964122728,
      0.113583388799005,
      0.114990633240921,
      0.129387958740998,
      0.141465585332366,
      0.143443486952086,
      0.131791130918739,
      0.116162911306267,
      0.110682778318881,
      0.123858484809967,
      0.139388913653732,
      0.126984030831694,
      0.113890970458354,
      0.119556253589614,
      0.125086086516058,
      0.126084327609906,
      0.137014771778242,
      0.144378627729064,
      0.136039988577886,
      0.130902204935365,
      0.144641228904947,
      0.146419351205162,
      0.121160210639275,
      0.110149251817177,
      0.119422124061651,
      0.123353853199514,
      0.115214345442802,
      0.116167023293671,
      0.12623395906707,
      0.12799673106028,
      0.122485912077294,
      0.124086363375297,
      0.124953218421295,
      0.112215036178959,
      0.10455897465562,
      0.119401495114474,
      0.147473760236601,
      0.143843464736398,
      0.120418983657105,
      0.105417955985654,
      0.113448889091052,
      0.134390273146487,
      0.143221401406208,
      0.127621678265247,
      0.107701114123325,
      0.104805686290047,
      0.125043005212646,
      0.153094100851212,
      0.145215665098693,
      0.119951046296706,
      0.108348234391084,
      0.124281641570889,
      0.140694906494713,
      0.135357065876192,
      0.122750070557726,
      0.115490155952608,
      0.110001276141526,
      0.106457258794808,
      0.116657968683398,
      0.134410690201001,
      0.129398343609264,
      0.108947449587558,
      0.108721158228606,
      0.127455717176979,
      0.138035048214777,
      0.132894397865018,
      0.124352840859702,
      0.118150650820363,
      0.112454653448031,
      0.120380782970359,
      0.134375346808899,
      0.130862832394271,
      0.116197996796567,
      0.112585462678678,
      0.119463277668549,
      0.1277727951374,
      0.122963038953325,
      0.113253083714647,
      0.111712002143795,
      0.118057862027569,
      0.127118723947098,
      0.139580729430281,
      0.135961743602001,
      0.118553244536622,
      0.114741687841691,
      0.133140930992203,
      0.146093987367977,
      0.130499261688012,
      0.112649707201565,
      0.111063235414138,
      0.116898690728208,
      0.121310797111254,
      0.128732471673918,
      0.131528969011327,
      0.124520308263265,
      0.118706762908103,
      0.130893669119106,
      0.140152129099974,
      0.126905828864818,
      0.106288045749719,
      0.108139769399872,
      0.132052482824786,
      0.146742379708882,
      0.129670736520143,
      0.107477067663531,
      0.102014400117514,
      0.11885457751662,
      0.143016344230279,
      0.14155316496612,
      0.121965853721059,
      0.103782960579269,
      0.110605677033475,
      0.139406034612122,
      0.156724514646338,
      0.135067520497296,
      0.102638497114576,
      0.0908841426508065,
      0.0971652893000218,
      0.103125264870235,
      0.0889172888079504,
      0.0915253940558328,
      0.118992281843942,
      0.141010989357749,
      0.13034601383613,
      0.117881949724874,
      0.114686617600151,
      0.116234627830839,
      0.115159287877496,
      0.123578706188356,
      0.130891233397936,
      0.137297645888313,
      0.14029444052942,
      0.128685103052895,
      0.116498912848018,
      0.117991497525045,
      0.13037821032626,
      0.144616414120625,
      0.141221063583517,
      0.119928850128957,
      0.104345043285515,
      0.113047151274144,
      0.129681302388556,
      0.122853505307548,
      0.106086776606715,
      0.11419959374747,
      0.140921596843876,
      0.145760165026931,
      0.124630613510357,
      0.10386402385445,
      0.104734525888148,
      0.12662784621376,
      0.144075112326344,
      0.132308723447235,
      0.112125525966909,
      0.103283994738265,
      0.116496911913049,
      0.143830882246125,
      0.147128828255919,
      0.12499893042339,
      0.107673692206225,
      0.111402283339337,
      0.123244377039187,
      0.12033697467612,
      0.102451912231522,
      0.0948333774218307,
      0.101576582441956,
      0.107772482561453,
      0.101557208343158,
      0.0891623802829953,
      0.0775942841911638,
      0.057569404189264,
      0.0295553636926063,
      0.00951009021331061,
      0.00202013107457904,
      0.000137664232198579,
      3.49878542716011e-18,
      0.000962978294024262,
      0.0170084225723038,
      0.0597245897147151,
      0.0947609714554025,
      0.0883285366628179,
      0.0831544067981902,
      0.0842683831008721,
      0.0911609460322364,
      0.0972904736510472,
      0.101764563316569,
      0.101774668327016,
      0.115354759995145,
      0.135936125868447,
      0.141025281831449,
      0.128002268565239,
      0.127586012253121,
      0.140201017382698,
      0.14889144014857,
      0.143419340682003,
      0.130653973021199,
      0.122739271085852,
      0.122413216028226,
      0.139855001599449,
      0.160658570248458,
      0.151744545268051,
      0.128969037753001,
      0.128683558630492,
      0.142243300238092,
      0.149717643705626,
      0.148264656394522,
      0.13590648005096,
      0.119597060278787,
      0.113807948839248,
      0.13254143732114,
      0.149833292692964,
      0.131494916430394,
      0.113247276482326,
      0.122613130568516,
      0.137615598578373,
      0.14155496981699,
      0.142741430958795,
      0.139695220021552,
      0.128714155275053,
      0.126162318810017,
      0.140960358236543,
      0.141935743636712,
      0.118096622393187,
      0.10787397379307,
      0.121435434186922,
      0.136103460915181,
      0.131849616816514,
      0.126753053632756,
      0.133859958531645,
      0.129782141439101,
      0.118234771789179,
      0.122534372770175,
      0.128596272256597,
      0.119210500764189,
      0.110379294208123,
      0.116680710380316,
      0.141242507770623,
      0.144208474848248,
      0.126898543208706,
      0.113786862592958,
      0.117271447200648,
      0.130039462822263,
      0.134014149983467,
      0.125014085570217,
      0.115754363878413,
      0.111520142876361,
      0.121563274824781,
      0.144399737940934,
      0.140599563551501,
      0.120375625404737,
      0.113510258595114,
      0.138088198332549,
      0.16057093337275,
      0.146792748843064,
      0.125493660688438,
      0.115755873315383,
      0.10994804460061,
      0.112186774135691,
      0.128934004431488,
      0.145344688093054,
      0.136400419907053,
      0.117189126310133,
      0.118964009819647,
      0.141262827093818,
      0.153596668794216,
      0.138968471687278,
      0.120953620760766,
      0.114864272797164,
      0.11632049684418,
      0.131308917102097,
      0.145711028777585,
      0.138672969649933,
      0.124168802236412,
      0.120552629181118,
      0.125543733026723,
      0.136342208900762,
      0.133428668157962,
      0.121376212277054,
      0.121752581504766,
      0.131100584839906,
      0.14326243959044,
      0.14999398813931,
      0.139282745496421,
      0.123882026712546,
      0.120496821677985,
      0.139821241979011,
      0.15992827225665,
      0.145257232842663,
      0.122872349120756,
      0.122699808399858,
      0.131684668465564,
      0.140142155336253,
      0.143173276354524,
      0.139760664240758,
      0.130629161297369,
      0.115687136392655,
      0.122548142083529,
      0.137905844421997,
      0.130867764127856,
      0.112639781186595,
      0.108774728844864,
      0.126414425938497,
      0.145116950459227,
      0.13549601763015,
      0.117216644525181,
      0.109716072657572,
      0.117299541840176,
      0.135314354537908,
      0.136282185883036,
      0.125138444668384,
      0.114145583444805,
      0.112872754939251,
      0.129669278512496,
      0.144232498211398,
      0.130312066015956,
      0.103818167789672,
      0.0901471841341909,
      0.0980469605325678,
      0.109680728748402,
      0.0947899434274481,
      0.0939310291914969,
      0.118531677622633,
      0.137187143454998,
      0.127423374902881,
      0.116306135648935,
      0.115966017849296,
      0.120655838433098,
      0.120619341599987,
      0.124420783851156,
      0.129175652517965,
      0.140330054335724,
      0.147011907346926,
      0.136680264504044,
      0.129039147761223,
      0.134470894433188,
      0.149373787819514,
      0.162448058275757,
      0.156820180256469,
      0.128486670561325,
      0.104744931219075,
      0.11651886392402,
      0.139889963007624,
      0.133756875942402,
      0.114349192959176,
      0.114363040341837,
      0.135564326437291,
      0.143361339241717,
      0.127519369162721,
      0.111164552570129,
      0.109504116189505,
      0.124315954090137,
      0.140426459666939,
      0.134008183160447,
      0.120208355099411,
      0.112586271051056,
      0.11688313225589,
      0.137485982503912,
      0.141510156474424,
      0.12402954115778,
      0.110061476042375,
      0.115973441581956,
      0.125071061482107,
      0.117369634347307,
      0.100291459337095,
      0.0945882582310998,
      0.0949133314292479,
      0.100302127374178,
      0.104546050466668,
      0.100270339787125,
      0.0847159153031631,
      0.0590359326175538,
      0.0279725062968585,
      0.00950061883898502,
      0.00207263133448691,
      0.000125161568928011,
      3.49878542716011e-18,
      0.00113457879628407,
      0.0186067906081812,
      0.0624786196075786,
      0.0963746774495529,
      0.0928360801977604,
      0.0923370928981578,
      0.0907589600017783,
      0.0914825163232499,
      0.0908181574313644,
      0.0862029704777699,
      0.081426795494322,
      0.0863551949111753,
      0.101670834286228,
      0.111163650783037,
      0.104503108462151,
      0.105212181640576,
      0.111092571853673,
      0.110857592314305,
      0.105191397282113,
      0.0986326220606158,
      0.0983389634242268,
      0.101978694690423,
      0.1197037290845,
      0.135203678423587,
      0.122409456220172,
      0.104617013698903,
      0.106026374009666,
      0.112602017490782,
      0.111031603492845,
      0.10697950476898,
      0.0987374449609389,
      0.0901136105865876,
      0.088741386098223,
      0.10635975954408,
      0.121536983340607,
      0.109066795572665,
      0.096203833457434,
      0.105501665697732,
      0.126044588423209,
      0.130671937251538,
      0.121980566086421,
      0.114467140803157,
      0.105177738439825,
      0.104374193766459,
      0.117186178081536,
      0.12160555733087,
      0.105167611050918,
      0.0938786768527173,
      0.107345060512389,
      0.132073640408992,
      0.130259633417907,
      0.115012615567941,
      0.118064994107909,
      0.115947809258507,
      0.107627631456136,
      0.110354178155634,
      0.1075325482405,
      0.0980433059435171,
      0.0973880500575215,
      0.0998240262797347,
      0.109342718268803,
      0.110879836364398,
      0.101585940724008,
      0.103158478754444,
      0.109195847627749,
      0.106042428113011,
      0.0983546836417188,
      0.0924001475639445,
      0.0932573388255937,
      0.0963469101461368,
      0.102276522504533,
      0.113391732344319,
      0.108796491928455,
      0.0959255997708691,
      0.0984197490233081,
      0.121367241058982,
      0.136376189217963,
      0.115992248384214,
      0.0923606442354842,
      0.0839018932920753,
      0.0805887112765947,
      0.0867623665464781,
      0.102937944237697,
      0.113907753788812,
      0.106349913947945,
      0.093213800126743,
      0.0948506507439966,
      0.111722312749952,
      0.118511916571697,
      0.102856271277385,
      0.0866367043568218,
      0.0838799269519736,
      0.0904876498622023,
      0.106041573516448,
      0.116919104316268,
      0.110640394598287,
      0.0999065221526649,
      0.0997670504819477,
      0.105025021474955,
      0.108451805085751,
      0.105715325476177,
      0.100048813574093,
      0.101634418730517,
      0.109802632275989,
      0.122616852551732,
      0.121108200938753,
      0.102736777295071,
      0.0943886905248516,
      0.095552554881943,
      0.107539780480419,
      0.124641462896988,
      0.118800930562426,
      0.102210678858082,
      0.101247493187962,
      0.109639005849005,
      0.119853308299936,
      0.11704589367951,
      0.106864313544128,
      0.102299963508678,
      0.0931873434329243,
      0.0961454084284671,
      0.108031278708846,
      0.105174644433807,
      0.0990764995521311,
      0.0984026284592519,
      0.103737719232622,
      0.111174561855983,
      0.103098032671978,
      0.0957961655142753,
      0.0999393635178072,
      0.101377252696794,
      0.100712560575094,
      0.0989769683712977,
      0.096058823710602,
      0.0976751501188596,
      0.0997401517820108,
      0.105191970611184,
      0.110452366197574,
      0.0994079921438555,
      0.0872591445270311,
      0.0937029101521924,
      0.110544368074037,
      0.111786633204187,
      0.090490603888295,
      0.0852785498605898,
      0.109695089130893,
      0.12859892269864,
      0.11852030623276,
      0.10626436261795,
      0.107053597888396,
      0.113310723116859,
      0.115776221987799,
      0.112013140749938,
      0.103386433078012,
      0.102727097879225,
      0.106934253513519,
      0.101251340353335,
      0.0946867865656812,
      0.0995836762365603,
      0.112438133446147,
      0.117474705989605,
      0.110345807157687,
      0.0948142613193993,
      0.0808539371325475,
      0.0895150057801577,
      0.104562851934643,
      0.102784842760218,
      0.0977423232599322,
      0.0989028502851824,
      0.105394290514812,
      0.106681400517786,
      0.0964527274921487,
      0.0951461621886956,
      0.100844341650736,
      0.102022918199748,
      0.10144555620307,
      0.0974111700223866,
      0.0944971772032775,
      0.0974967105113582,
      0.101113658189226,
      0.109667195009246,
      0.110271000972172,
      0.0963277588447318,
      0.0924775217673036,
      0.113333777124801,
      0.126094816319131,
      0.100955976258535,
      0.0783408703646733,
      0.0778607205971883,
      0.0755488770385294,
      0.0749369617917778,
      0.0906016858800354,
      0.10045111814386,
      0.0861050692433764,
      0.0556251205636091,
      0.0266469729142871,
      0.00845166868101861,
      0.00162929282583633,
      0.000069368508146594,
      -1.39951417086404e-17,
      0.00109017096200606,
      0.0180113582255797,
      0.0576714800505464,
      0.0897711284346767,
      0.0969481818554757,
      0.102922123868259,
      0.0976451135378184,
      0.0917543372110703,
      0.0840029282093054,
      0.0730770900833044,
      0.0679499087633455,
      0.0725050532716304,
      0.0836084486305848,
      0.0866613673305751,
      0.0806352606039205,
      0.0810013709896542,
      0.0834323128790735,
      0.0825287583603816,
      0.0823334598639321,
      0.0798799665818031,
      0.0779536360215423,
      0.0799449012568569,
      0.0983019107580265,
      0.112828331847336,
      0.0973054589852403,
      0.0805105642337842,
      0.0796565351186124,
      0.0822504640058102,
      0.0824496920126094,
      0.0843576128581274,
      0.0818303305051641,
      0.0754043520195192,
      0.073360203698493,
      0.087798257270212,
      0.103311610809958,
      0.095140754594348,
      0.0812220072520459,
      0.0823548387171534,
      0.100906119393758,
      0.115133097914063,
      0.114562870680392,
      0.104855479758382,
      0.0901985959287258,
      0.0878726469511525,
      0.0970486199838661,
      0.0992599517804996,
      0.0873972363479437,
      0.077723400194433,
      0.0848014914274803,
      0.108612956453622,
      0.118428804082609,
      0.112776632314542,
      0.112716875254256,
      0.107139026797696,
      0.102006816282747,
      0.102394818658041,
      0.0935028359567795,
      0.0787190962945839,
      0.0782376812561764,
      0.0883439111647662,
      0.100954699981138,
      0.0994562647897893,
      0.0863587448923565,
      0.0828891154438001,
      0.0902839756452073,
      0.0957361401458619,
      0.0921534366717878,
      0.0802708582623195,
      0.0745539647038815,
      0.0810947905475983,
      0.0953069557577286,
      0.107684336371079,
      0.0981182807800157,
      0.0823215837260471,
      0.083698496748515,
      0.101401165211724,
      0.113058027860734,
      0.0964039078981152,
      0.0750467666618085,
      0.0666242587592768,
      0.0636879251447147,
      0.0655993990632149,
      0.0782289089301496,
      0.093016379219702,
      0.0903870064767877,
      0.0786088855172614,
      0.0765239203111208,
      0.0846676162489305,
      0.0898224219613666,
      0.0818854832622011,
      0.0703632923817396,
      0.0672450488392486,
      0.070568443134431,
      0.0827620382229139,
      0.0956638917072881,
      0.092514053900983,
      0.083285682622448,
      0.0841654123446623,
      0.0951865954715089,
      0.103760725395796,
      0.0977531795830528,
      0.0880838339530865,
      0.0854428852387618,
      0.0890714102149176,
      0.104734434640156,
      0.110007185304831,
      0.0909461179864473,
      0.0791230619865044,
      0.0775123265480925,
      0.0874142740345379,
      0.105249502965246,
      0.103436581614821,
      0.0894804184523937,
      0.0847497730021704,
      0.0894502454869324,
      0.101531452050642,
      0.102963102617889,
      0.0899091893214944,
      0.0821077022386781,
      0.0782076512214019,
      0.0848086901706345,
      0.0937059250179141,
      0.0856001561207726,
      0.0767394336197293,
      0.0826960560328385,
      0.0969135301295626,
      0.101644035930052,
      0.0874842275743531,
      0.0768423990804519,
      0.0804775279427672,
      0.087633379376258,
      0.0939280541214046,
      0.0905117294462643,
      0.0791420698246157,
      0.0763003356431382,
      0.0848163916322323,
      0.0974983736687479,
      0.10221954834109,
      0.0876074765484135,
      0.0745527100728015,
      0.0817551118054849,
      0.0997912187317024,
      0.100277456641684,
      0.0798513515965377,
      0.0745138897644842,
      0.0999030975912146,
      0.122563298204042,
      0.114413514999103,
      0.101787047688156,
      0.101197754135083,
      0.103255938072273,
      0.103901575620535,
      0.102631646136856,
      0.0977312299597537,
      0.0923164838291446,
      0.0890119787938491,
      0.0833127482506234,
      0.0770656215856345,
      0.0790517799893518,
      0.0907227205592551,
      0.0972860089840246,
      0.0899169887745851,
      0.076222229887365,
      0.0705119142497702,
      0.0843580733372295,
      0.0933621693490442,
      0.0826177559471445,
      0.0785375396383125,
      0.0877753301599185,
      0.0977366238386922,
      0.0949522805243947,
      0.0806078344427035,
      0.0756458989357965,
      0.0841313458972943,
      0.09429289216145,
      0.0978643516929422,
      0.0875513360160679,
      0.0769615980618068,
      0.0796476644524435,
      0.0907493037549556,
      0.103430117981231,
      0.100991606354026,
      0.0838271192009739,
      0.0855343835372514,
      0.118598079926104,
      0.139997460245983,
      0.107707794731082,
      0.0728167312428465,
      0.0678196722508592,
      0.075186578360968,
      0.0799426328740513,
      0.0909420390468532,
      0.10162205177495,
      0.0933976967709396,
      0.0611544658310971,
      0.028880261578035,
      0.00739646497140004,
      0.00121912932671978,
      0.0000403722803567981,
      -4.19854251259213e-17,
      0.000884381675646188,
      0.0159489611114836,
      0.0506949174178455,
      0.0815955150682716,
      0.0948990231233809,
      0.0973536504582549,
      0.0852914937397347,
      0.0820578218545984,
      0.0810309123781758,
      0.0738294754799955,
      0.0712216924905469,
      0.0787434337842884,
      0.0844642699916007,
      0.0763628058658559,
      0.0676732773818608,
      0.0700242181400912,
      0.076800717833122,
      0.0803394405115904,
      0.0809564144486011,
      0.0758639272843678,
      0.0694823479537287,
      0.0705604484829527,
      0.0867218813678066,
      0.096325407832812,
      0.079801374372763,
      0.0657176644317796,
      0.0686802448611287,
      0.0755795238164663,
      0.0790988767499756,
      0.0814713502365644,
      0.0801009294824392,
      0.074054466202846,
      0.0718456699298471,
      0.0830363666527104,
      0.0963387549001251,
      0.0880828663127614,
      0.0738195479981325,
      0.0718125167708175,
      0.0833682675119283,
      0.0990418587917289,
      0.105092999711263,
      0.0979578569257373,
      0.0861066357541072,
      0.083119550822147,
      0.0893798373250041,
      0.0892279464387759,
      0.0777199442866525,
      0.069208816075185,
      0.0712411512979746,
      0.0857101814617165,
      0.0997335774891643,
      0.103452681987428,
      0.0990255724258323,
      0.0870970209182776,
      0.0828355086005184,
      0.0902098372859298,
      0.0871737955487574,
      0.0699649981110657,
      0.0657614544785925,
      0.0846410327392525,
      0.106813591042651,
      0.102780147249927,
      0.0825035465345722,
      0.0710255282778236,
      0.077313737712335,
      0.0931770437266645,
      0.0969308226234966,
      0.0802041885152781,
      0.0641824443814278,
      0.0687126295769668,
      0.0942064113974486,
      0.115057313077269,
      0.100587916093857,
      0.0772941980388235,
      0.0715415965862512,
      0.0834756394957425,
      0.095175439267175,
      0.0860986678258027,
      0.0705384324556371,
      0.0634965407588864,
      0.0607882921208842,
      0.0611268786262494,
      0.0711306893412491,
      0.0862470414073467,
      0.0854556185584928,
      0.0734644336584828,
      0.0684173918261811,
      0.075866194014629,
      0.088882012640171,
      0.0862078364378102,
      0.0717543445241075,
      0.0644939502319733,
      0.0646141524748081,
      0.0737989710942098,
      0.087422686534811,
      0.0849664720820125,
      0.0732382768318472,
      0.0701229562024453,
      0.0844767101559977,
      0.102008488643613,
      0.0952700747369453,
      0.0798242930476455,
      0.0738743929107857,
      0.0749423059499518,
      0.0877602953868465,
      0.0972173461056172,
      0.0878304512559177,
      0.0744482054212482,
      0.0696504633308851,
      0.0807992350313784,
      0.0949305867489895,
      0.0906272320289655,
      0.0801921608805386,
      0.075207865413458,
      0.0773483287578223,
      0.0888476894847515,
      0.0951466138899186,
      0.0869717570969208,
      0.0770771291314451,
      0.0726343211563159,
      0.0821908252977137,
      0.0940007891909107,
      0.0824207365881088,
      0.0655102036304396,
      0.0730731105654685,
      0.0977999774087295,
      0.106107643609242,
      0.086883476539593,
      0.0687623071825209,
      0.067246835701041,
      0.0806870802703945,
      0.0974751115425107,
      0.0935455299093682,
      0.0737494318641354,
      0.062691178516047,
      0.0756535468175512,
      0.101926241278812,
      0.109236166813282,
      0.0871776387399566,
      0.0672176331816327,
      0.0719635138644871,
      0.0990729120591394,
      0.106525079295341,
      0.0816859233737334,
      0.0725625776405043,
      0.096161786240368,
      0.121366875340851,
      0.116275941337338,
      0.101637356621712,
      0.0961335943193845,
      0.0942316936484833,
      0.0948076716586174,
      0.101367893076711,
      0.103831960708866,
      0.0991059132646303,
      0.0916151633190714,
      0.0848538692367151,
      0.07970975934218,
      0.0778430664077746,
      0.0860430838704011,
      0.0959579608595272,
      0.0917217983855899,
      0.0762741136850524,
      0.0690345600027133,
      0.0843702792863535,
      0.0962530695754823,
      0.0800443897552368,
      0.0664120770335432,
      0.0807785609092023,
      0.104761615593399,
      0.10245148690962,
      0.07935419671094,
      0.0658071490555082,
      0.0713456606963231,
      0.0887829893806688,
      0.100507888655776,
      0.0882018694487962,
      0.0684614653002642,
      0.0650830066777465,
      0.0846160932628988,
      0.108090873279445,
      0.103314877660363,
      0.0812539445746764,
      0.0788513612095216,
      0.101726450534791,
      0.116843130846106,
      0.0981659177634696,
      0.0754952122184724,
      0.0761604438797616,
      0.0927939503698846,
      0.102117739831916,
      0.103318088408948,
      0.108281059804432,
      0.103395653922316,
      0.0722731109501023,
      0.0322465675686183,
      0.00771407288239278,
      0.0014049064426003,
      0.0000379549516003879,
      -1.39951417086404e-17,
      0.00058629425735422,
      0.013039302328202,
      0.0459817404773404,
      0.0775398080238859,
      0.0834063732107501,
      0.076913802021565,
      0.0667989644257971,
      0.0701082198327152,
      0.0790892799955917,
      0.0820194640264279,
      0.0865499296372469,
      0.0968429159551526,
      0.0924737125596718,
      0.0713779728778517,
      0.0620382510533737,
      0.0685182500965254,
      0.0781953929118086,
      0.0814135711326101,
      0.0808965659428927,
      0.0774795511471184,
      0.0718010521984306,
      0.0741175662290921,
      0.0827002167623854,
      0.0836534829167258,
      0.0704212269110366,
      0.0621207551409295,
      0.069162508492851,
      0.0781837661531235,
      0.0808276225057705,
      0.0814631692564165,
      0.0831246614442033,
      0.0783368843879877,
      0.0721767094166853,
      0.0835821989497525,
      0.102968734625092,
      0.0944409484296883,
      0.0760100607435805,
      0.0731015570172621,
      0.0777997797102326,
      0.0873808311322336,
      0.0912122172423824,
      0.0893276450048801,
      0.0866397894872589,
      0.0814978955292611,
      0.0897267374321124,
      0.0975676025116151,
      0.0856857692388499,
      0.0726630556269522,
      0.0711835055546278,
      0.0751484504148321,
      0.0820207892466019,
      0.0866773199799979,
      0.0853444717658499,
      0.0760930489425604,
      0.0719761843370584,
      0.0819906685861014,
      0.0812139307082947,
      0.0668126947787494,
      0.0626262410503495,
      0.0791215659119614,
      0.0979983467843793,
      0.0941274673261249,
      0.0762366698138338,
      0.0658010018882094,
      0.0718364495828996,
      0.0874006482219675,
      0.0905061572031448,
      0.0764273868254667,
      0.0634796371870272,
      0.065242854707539,
      0.08498277750495,
      0.101891101720568,
      0.0913944342813748,
      0.0720536182134636,
      0.0688555235663406,
      0.0882633101013513,
      0.104807922175423,
      0.0901461167159535,
      0.0715851951013517,
      0.065032841671244,
      0.0603682822041898,
      0.0621340966312605,
      0.0725241468428448,
      0.0837723850597448,
      0.0814814014186772,
      0.0708261884027716,
      0.0684543739488672,
      0.0774833029309828,
      0.0900855592344199,
      0.0887186488883736,
      0.0747395679726171,
      0.0645981099496671,
      0.0650280160347464,
      0.0733469472062004,
      0.0841240532306428,
      0.0823755820138165,
      0.0734461747565545,
      0.0710033682957193,
      0.0800310755229441,
      0.0925738841783731,
      0.0907998433757218,
      0.0803136225613,
      0.0740729087023849,
      0.0743943080664685,
      0.0800858973448415,
      0.0855754961218813,
      0.0866969646867254,
      0.0794728330664828,
      0.0755869619243231,
      0.0817726703957485,
      0.0857170234175268,
      0.0836154227152264,
      0.0789146043366169,
      0.0746156953295344,
      0.0765277646904792,
      0.0810932494655607,
      0.0823187132357984,
      0.0815979209850777,
      0.0762515980832905,
      0.0710846924240774,
      0.0798047067442828,
      0.0906280017005675,
      0.0800018857319244,
      0.0633141187192512,
      0.0678368976654268,
      0.090034073080535,
      0.0992872479240208,
      0.0825383593088261,
      0.0652351828961523,
      0.0627216423896626,
      0.076297253819379,
      0.0902546973211733,
      0.0857355918068833,
      0.0700967946230091,
      0.0612785334571777,
      0.0698272356047086,
      0.0903225053066406,
      0.0978897327231444,
      0.0807492591285327,
      0.0625431540793501,
      0.0721770016189283,
      0.113984127906987,
      0.126307252997368,
      0.0908226195054282,
      0.0744981556242776,
      0.0929484757976295,
      0.116231218833615,
      0.117776835889858,
      0.103677122786745,
      0.0932086121754879,
      0.090525399795238,
      0.0927783023239823,
      0.105936960800111,
      0.110481356983857,
      0.103769477044115,
      0.0944616561575166,
      0.0881540043351615,
      0.0841901834800883,
      0.0795170222182605,
      0.0813167088966786,
      0.0883547053983377,
      0.0876513731019962,
      0.0735112614669374,
      0.0649104422985855,
      0.0795010259785359,
      0.0942549683176567,
      0.0806574646267265,
      0.0644843924452459,
      0.072873297338826,
      0.0929525657424654,
      0.0945629178795151,
      0.076076913737551,
      0.0620940306273556,
      0.0645845796558424,
      0.081466742163434,
      0.0918441026723202,
      0.0813808845520886,
      0.0662168097394938,
      0.0633779207267832,
      0.07949536480658,
      0.099578259248854,
      0.0963468125706648,
      0.07624140371685,
      0.0687479577132225,
      0.0835092630775909,
      0.0943127569596705,
      0.0813486418867792,
      0.0693753214588043,
      0.0767693239638815,
      0.0881890974555921,
      0.0881915385729483,
      0.0846301999476168,
      0.0918989094160327,
      0.0913792237467421,
      0.065434449638051,
      0.028527648101548,
      0.00757425411885862,
      0.00143364102061798,
      0.0000537451877657687,
      -6.99757085432021e-18,
      0.000319666844748972,
      0.00982400741029002,
      0.0402607877080608,
      0.0723555546889006,
      0.0756147143998541,
      0.0706941094416366,
      0.0668080638173457,
      0.0690727907178727,
      0.0756462279670762,
      0.083121359354297,
      0.0921157768219441,
      0.101642671292619,
      0.0973740566147296,
      0.0807549552245159,
      0.0714480002480528,
      0.0762000459149333,
      0.084506258692635,
      0.0867202934784831,
      0.0864013220709832,
      0.0838815276975827,
      0.0779908402580872,
      0.0827448348138976,
      0.088425110610862,
      0.084828703789198,
      0.0763179484290607,
      0.0718710056772336,
      0.0776803544417151,
      0.0856854024357167,
      0.0866113208258437,
      0.0860967246239202,
      0.0913282129493061,
      0.0887703766521606,
      0.0773172578311743,
      0.0834222672455413,
      0.105585672478037,
      0.099949023729059,
      0.0843477500710028,
      0.0839737927030316,
      0.0857556984271488,
      0.0883707658163804,
      0.0913022204013662,
      0.0986008881962192,
      0.100769500315339,
      0.0887772812732086,
      0.091982236012369,
      0.103413014823477,
      0.0934695013634673,
      0.0816562322140105,
      0.0820512253174287,
      0.081492649393079,
      0.0792866991424856,
      0.0795384666306656,
      0.0819361117947711,
      0.0804853155681877,
      0.079516096195984,
      0.0834330986922695,
      0.0791351365988117,
      0.0697526651766396,
      0.0693813035447864,
      0.0837389528262533,
      0.0981343982869203,
      0.0904587651603532,
      0.0737354080815138,
      0.0678387650328335,
      0.0774738535707903,
      0.0900197714112743,
      0.0881570647213803,
      0.0751309460389094,
      0.066362270974079,
      0.069906057386685,
      0.0871835218429918,
      0.101356729301834,
      0.0907966831749416,
      0.0738545181450735,
      0.0729985215175217,
      0.101145628656734,
      0.125935753161032,
      0.104702946546546,
      0.0785258304096563,
      0.073758188035001,
      0.0719433886829316,
      0.0763280160269124,
      0.0884040699737539,
      0.0966268483694921,
      0.0858362468022865,
      0.0705098151778455,
      0.070044019355275,
      0.0783679908588356,
      0.0869233805772256,
      0.0893316641585117,
      0.0844242108383181,
      0.0778192085010983,
      0.0802669588933866,
      0.0903848029820184,
      0.0963339579305934,
      0.086993777100907,
      0.0776809624713446,
      0.0783429356264364,
      0.0825029404401338,
      0.0906308262766403,
      0.0946369463263802,
      0.0863747196074184,
      0.0799630024845851,
      0.085923529781845,
      0.0879884283964874,
      0.0856683996703685,
      0.0869998219186339,
      0.084233011253567,
      0.0858177800906498,
      0.0912588495161592,
      0.0918132534826299,
      0.0893048394389742,
      0.0831696732805155,
      0.0809905724437164,
      0.089477520869297,
      0.0891485428866282,
      0.0819165628022328,
      0.0831644867247709,
      0.0797597452693536,
      0.0755466419619229,
      0.0836595412888736,
      0.0894349776367317,
      0.0807076230264909,
      0.0707935946389823,
      0.0746146891837685,
      0.0906166926892303,
      0.0959434317051817,
      0.0808520692526135,
      0.06646164129513,
      0.0661473652646636,
      0.0798231559270041,
      0.0889081774493866,
      0.0810253617316621,
      0.0700155926491366,
      0.0659604126984826,
      0.0766230112838511,
      0.095814493001986,
      0.0999181302537107,
      0.0821152551169487,
      0.0643131513281703,
      0.0772801218042442,
      0.116084564611875,
      0.124418727112173,
      0.0909740610681218,
      0.0758381542719057,
      0.0906849212530056,
      0.110827364597745,
      0.114574027859327,
      0.10250711386235,
      0.0958044273319967,
      0.0973614371628882,
      0.0959234918596051,
      0.101826705945865,
      0.104229671698824,
      0.101788819793918,
      0.0964555035306808,
      0.0882124106049205,
      0.0824558696088062,
      0.0805930281458319,
      0.0817606563598326,
      0.0830123037467404,
      0.0807617238033034,
      0.0721305752050542,
      0.0684668527770085,
      0.0775869250533648,
      0.0855832109361282,
      0.0779184590456907,
      0.0703113298456436,
      0.0795501483260852,
      0.0955322597801406,
      0.0935933396246929,
      0.0775716893018378,
      0.0656602810212042,
      0.0695171436397407,
      0.0850763849161899,
      0.0892727470025479,
      0.0770703040837289,
      0.0676515034957442,
      0.067864567886659,
      0.0813516069672946,
      0.0970431959287578,
      0.0936127678243948,
      0.0765017202978794,
      0.068814137162612,
      0.082179246323055,
      0.0974279366207317,
      0.0836832584751434,
      0.0686758447238598,
      0.0722407786429762,
      0.0748123732832787,
      0.0693983902935451,
      0.0685605433053713,
      0.0738645543645798,
      0.0719770169988017,
      0.0502051886998997,
      0.0227303595807091,
      0.00663557721114232,
      0.001109232801646,
      0.000034642210373953,
      1.39951417086404e-17,
      0.000420575738882934,
      0.0130194693846159,
      0.0541037024828028,
      0.0973866372521062,
      0.100592649621593,
      0.101429893917756,
      0.100931901388188,
      0.0988732770068616,
      0.0952625493026612,
      0.0913647397242722,
      0.0912745940999955,
      0.0985912767443195,
      0.105967369393077,
      0.105397590600445,
      0.0964590342377633,
      0.0934602402866997,
      0.0983949249730982,
      0.105014241394702,
      0.110811717317629,
      0.105019626676991,
      0.0937591485983648,
      0.0944763756997941,
      0.100163185000267,
      0.104620021100428,
      0.104771694089814,
      0.0983932765910712,
      0.0948583969795981,
      0.0992407205065056,
      0.105462937045352,
      0.110203332582495,
      0.109159610398843,
      0.102472342955134,
      0.0956154246871989,
      0.0983238778603192,
      0.108889330662308,
      0.102635451384667,
      0.0952012069695187,
      0.0968770836576897,
      0.0995366488925822,
      0.102018400912276,
      0.110989390614251,
      0.12278265024049,
      0.120359368396418,
      0.110017604052382,
      0.115218083453597,
      0.118791986846869,
      0.101634103808457,
      0.0917860068761271,
      0.0959881551206483,
      0.0978945147413476,
      0.0924298366155697,
      0.0912607847981844,
      0.0979589714994147,
      0.10257390175702,
      0.104704517997811,
      0.109567104575314,
      0.103859134901767,
      0.0881973013297626,
      0.0836031956743691,
      0.096496974760372,
      0.115266122694578,
      0.107409072876883,
      0.0876130330207536,
      0.0849110886958515,
      0.0937059073251532,
      0.106309662775303,
      0.106736951721418,
      0.0913357834959138,
      0.081425184579163,
      0.0856731507957236,
      0.102232875070381,
      0.120425164204068,
      0.10986616679328,
      0.0875182472581556,
      0.0822436175529641,
      0.100808043515346,
      0.124173052207158,
      0.115215905891,
      0.0961485551471823,
      0.0917905641708305,
      0.087681099172969,
      0.0865149503527683,
      0.10083287122768,
      0.119916681636353,
      0.110091875809703,
      0.0854415093005058,
      0.0826106962227194,
      0.096779953130471,
      0.106722142779705,
      0.107621009679814,
      0.10330484786188,
      0.0937669733014961,
      0.0910695995482117,
      0.104091677316014,
      0.118925620929554,
      0.109087352305107,
      0.0907818820589334,
      0.0880866066835885,
      0.0949819769081841,
      0.110511093490615,
      0.117595868268932,
      0.104646296506326,
      0.093385413005705,
      0.0977813137737267,
      0.103318813653605,
      0.107624071183468,
      0.103829069975202,
      0.0923109639622725,
      0.0940168610072451,
      0.107732167965671,
      0.117220730754118,
      0.112423953746308,
      0.100876039880697,
      0.0946235175713048,
      0.0975804152282011,
      0.0992119216362538,
      0.0999278743627664,
      0.100345933384247,
      0.0959874058926895,
      0.0947335285907712,
      0.109510759685941,
      0.119512402322345,
      0.103642793960584,
      0.085858121980245,
      0.0864090856407154,
      0.104778745630669,
      0.113711898452223,
      0.0965779122813991,
      0.0821286470934928,
      0.0847037274339875,
      0.0999323476842665,
      0.113174657945316,
      0.104493320827803,
      0.0883653658594545,
      0.0831870515543643,
      0.0910868470808562,
      0.111603210574852,
      0.119085529899338,
      0.0973725684071923,
      0.0753029112631579,
      0.0798364010655492,
      0.101115481084393,
      0.105958018643419,
      0.0835779639757534,
      0.082621736380841,
      0.111372741642064,
      0.125850573432781,
      0.11605358825454,
      0.107171145454335,
      0.101319611477675,
      0.101830451952489,
      0.0987840050459261,
      0.0999943169982487,
      0.103538943859051,
      0.112036077804915,
      0.116446912660695,
      0.105864707820787,
      0.0930470173178336,
      0.0908789269220058,
      0.0970519028756516,
      0.106773703304485,
      0.106369011448829,
      0.0929023742228478,
      0.0861284724188613,
      0.0962737299373515,
      0.103936821654824,
      0.0932781366113791,
      0.0850161730656861,
      0.0916586762108324,
      0.111721531670796,
      0.112830549230231,
      0.0921008974292561,
      0.0804348752201053,
      0.0865286472138713,
      0.103771781130565,
      0.109453556478325,
      0.094188423957058,
      0.0821185473233508,
      0.0838076151871241,
      0.0964359955165355,
      0.115028291803843,
      0.113162448571212,
      0.0912318820049918,
      0.0807486815197432,
      0.0910470458713467,
      0.109130783143806,
      0.10027110014727,
      0.0805292732773571,
      0.0723691852754753,
      0.0709680347269916,
      0.0738700066410059,
      0.0766946533688811,
      0.0698240956553291,
      0.0634366069374745,
      0.0473417511807731,
      0.0228367633893415,
      0.00640024918520921,
      0.00107128289524055,
      0.0000326771666722216,
      2.79902834172809e-17,
      0.000834166980653131,
      0.0237304505757966,
      0.0873318651516681,
      0.147533298396594,
      0.148384208579187,
      0.140474170034198,
      0.130355427191489,
      0.127207823783047,
      0.122640799298675,
      0.111355849736462,
      0.101311225885631,
      0.111490753038299,
      0.133015333586273,
      0.135278416539257,
      0.118798285536936,
      0.111611238728815,
      0.118206292829527,
      0.133152353213308,
      0.143390460567133,
      0.134593924468854,
      0.120057793079113,
      0.11173161984041,
      0.11977164491016,
      0.139481267014703,
      0.13824158253659,
      0.120623215498689,
      0.112919201917374,
      0.119605287622347,
      0.133184676707461,
      0.142513140355892,
      0.132370624469198,
      0.113567386807287,
      0.106644526834937,
      0.119761372537189,
      0.13528355020515,
      0.122015419446,
      0.105231804760519,
      0.104748339394544,
      0.111288915444605,
      0.119795268732975,
      0.131715196449325,
      0.13813546888112,
      0.130642286160276,
      0.124927783135779,
      0.137075938631448,
      0.138752841212462,
      0.113667710762886,
      0.0995015571435527,
      0.104219287367261,
      0.112741096274289,
      0.112682485851791,
      0.114584235221936,
      0.124349891559465,
      0.12815484196576,
      0.125146192628514,
      0.129775884792719,
      0.127305566793667,
      0.111543151176414,
      0.107659030888064,
      0.119594229682176,
      0.134970706517442,
      0.125362740438347,
      0.109589997654321,
      0.113857744306013,
      0.12349754116149,
      0.130862869390971,
      0.122942117583252,
      0.10409455845039,
      0.0979410116757667,
      0.105109056774622,
      0.122831239325156,
      0.138696646573555,
      0.123096647428481,
      0.103551727261354,
      0.103655237590407,
      0.120886665031027,
      0.136379566766275,
      0.125093268717077,
      0.111618010140599,
      0.111006459487407,
      0.104908308833726,
      0.100016006144864,
      0.113834483518835,
      0.138328275267562,
      0.135740606537497,
      0.109998551007296,
      0.103571999418426,
      0.124357494864165,
      0.141963515800812,
      0.136693779434414,
      0.123013376746662,
      0.110084839165144,
      0.10381062150482,
      0.115395782328089,
      0.137062425212683,
      0.137262867417164,
      0.118870709968861,
      0.110510578968181,
      0.119689194443679,
      0.139833763930529,
      0.139794903230692,
      0.121085273523397,
      0.10957817836928,
      0.108754263854693,
      0.121961952417268,
      0.136850508609359,
      0.127237594334359,
      0.109457215756654,
      0.10552841875132,
      0.125837541585302,
      0.151638925857287,
      0.141057621870294,
      0.116644954851425,
      0.107390271486169,
      0.107994012538391,
      0.120033221724958,
      0.131796486655327,
      0.128641954731906,
      0.118691485680255,
      0.114363259411166,
      0.134784578596481,
      0.149653166882938,
      0.12932625481484,
      0.109633328827444,
      0.112571361027664,
      0.131320002797567,
      0.137992643490492,
      0.117246843534734,
      0.104151985182176,
      0.111020803086014,
      0.127566023079134,
      0.138939164463589,
      0.124402395664528,
      0.105008132746677,
      0.102357010897732,
      0.110829078056604,
      0.128410579778097,
      0.132299198544576,
      0.111707687338222,
      0.097778497683759,
      0.102432250137879,
      0.107366792878321,
      0.100579568122906,
      0.0817047492960259,
      0.0816892823349125,
      0.107875555873281,
      0.124264999965384,
      0.119829790694074,
      0.112028281479298,
      0.10415721915025,
      0.104740398949325,
      0.105830362127941,
      0.107750577741645,
      0.112993308868804,
      0.135509413375437,
      0.150851749641271,
      0.136920355173046,
      0.119983400160558,
      0.118210305099544,
      0.132857787372479,
      0.15596569831136,
      0.15570705100744,
      0.126315388924837,
      0.105174932780217,
      0.119305502751012,
      0.136379096993089,
      0.120618812859983,
      0.106500954579404,
      0.113834724266341,
      0.1348809305355,
      0.132856622894173,
      0.110073361749871,
      0.104499306082947,
      0.116392219058393,
      0.132891924782975,
      0.134687590730082,
      0.114844868553422,
      0.101519184782445,
      0.105803081194728,
      0.12050276502519,
      0.137956461294839,
      0.129429535187952,
      0.104573533959168,
      0.09605052124946,
      0.103470873560472,
      0.111509072142356,
      0.100462539569672,
      0.0799208286578392,
      0.0731393319183326,
      0.0773650184056254,
      0.0931544660367963,
      0.101311831334662,
      0.0835327209129736,
      0.0672361500509867,
      0.0513623492758054,
      0.0237691207512681,
      0.00620319759977917,
      0.0011929866187641,
      0.0000306355445264488,
      1.39951417086404e-17,
      0.000877359730668989,
      0.0263439010872143,
      0.086538048751266,
      0.130537047480725,
      0.131248720813613,
      0.123024915192136,
      0.103857907616637,
      0.0999743952384263,
      0.0997044616990147,
      0.0940399853852642,
      0.0904142144214244,
      0.101256419808989,
      0.119157862042903,
      0.116718211240354,
      0.0996065117541565,
      0.0997904432673261,
      0.110895824615896,
      0.118867221685997,
      0.117994751149516,
      0.111305580675533,
      0.106427550767485,
      0.101971878254268,
      0.117521891758965,
      0.137810555572841,
      0.121642211694967,
      0.0988463883599264,
      0.100600851689718,
      0.113387629192849,
      0.121974572925867,
      0.119626802907493,
      0.106112366399954,
      0.0945319780671289,
      0.0924665680580022,
      0.109336757750573,
      0.129928913728319,
      0.120542747931781,
      0.100648622834683,
      0.100326106398669,
      0.111637157677676,
      0.119334111440887,
      0.12260570582369,
      0.122957191381767,
      0.116778326831394,
      0.109863557761866,
      0.117631939776574,
      0.122859355995905,
      0.10822479769428,
      0.0957093730002469,
      0.099638871763871,
      0.112096050229658,
      0.113700469375161,
      0.111240553830579,
      0.120089537332325,
      0.122953617450163,
      0.112010567352763,
      0.107953491196506,
      0.105425168296325,
      0.0966552512422191,
      0.0972221230542894,
      0.116829620518943,
      0.132800750151555,
      0.114443762006256,
      0.0946867503567605,
      0.0951963307428604,
      0.108940028872573,
      0.12076910756796,
      0.1070473916183,
      0.0883560033106634,
      0.0879876523593347,
      0.0969675601086952,
      0.118165470849586,
      0.13055179133208,
      0.108927309394233,
      0.0920428093790416,
      0.0965052537737676,
      0.117602098238462,
      0.128041640049001,
      0.105833931989705,
      0.086940172320593,
      0.0877093553763389,
      0.0920040940294664,
      0.0981785878538629,
      0.108175475526285,
      0.117063578707751,
      0.115860800485543,
      0.102460316594444,
      0.0984447159920037,
      0.114944957644232,
      0.129794189652162,
      0.117440680273714,
      0.100259272598969,
      0.0983691407011991,
      0.102370834905274,
      0.109116732800744,
      0.118165198075804,
      0.11997076948987,
      0.109704275208861,
      0.101316045395582,
      0.107649920852293,
      0.120040315723606,
      0.115253163943952,
      0.100374192847285,
      0.0944394100672409,
      0.102476457100982,
      0.125990827085562,
      0.132581712738837,
      0.11269768021868,
      0.100110532797066,
      0.0962097828384101,
      0.110783517814817,
      0.136414493265696,
      0.127794449677217,
      0.102282225323311,
      0.0958350588255853,
      0.106237356036875,
      0.128040688383883,
      0.130596653634348,
      0.115596243529757,
      0.108269592117989,
      0.103900986332008,
      0.114814983617418,
      0.123488908421914,
      0.109206425252457,
      0.0958217694548025,
      0.104357460106697,
      0.129045006956996,
      0.130322909505736,
      0.101680937734412,
      0.088197240438854,
      0.0953375728424251,
      0.113574767810323,
      0.121319953611264,
      0.104497950658217,
      0.0917277774969877,
      0.0925279587263655,
      0.105131080635384,
      0.125914508252106,
      0.123892205868071,
      0.0977044377100089,
      0.0845540955271738,
      0.0906021306138057,
      0.101752170348127,
      0.100608654212492,
      0.0819453660270147,
      0.0729772904336806,
      0.0874979054441385,
      0.107507882466017,
      0.112372893424794,
      0.10309915567597,
      0.096047177347866,
      0.0982727244180758,
      0.101394209830937,
      0.102768474826226,
      0.101164405751202,
      0.117411379397902,
      0.129067328879596,
      0.113952880469942,
      0.101662391245912,
      0.104129873782542,
      0.118997168160577,
      0.134780924435149,
      0.129728724595737,
      0.106738237045536,
      0.0889921861685448,
      0.0946804135258077,
      0.108234274583591,
      0.104342415500397,
      0.0966887600332122,
      0.109769057022066,
      0.131489499947482,
      0.119861055869324,
      0.0926738202649193,
      0.0864668838534315,
      0.0991477387884089,
      0.119855607590689,
      0.121007017166371,
      0.0995763236499049,
      0.0903685444868389,
      0.0951531542321962,
      0.112642519317798,
      0.128895164284647,
      0.114845769911637,
      0.0914315182244453,
      0.0903873068533596,
      0.105771980614948,
      0.105729898390872,
      0.0820271253447429,
      0.064926987941659,
      0.0710636057201958,
      0.0802522399048324,
      0.0853340111884783,
      0.092881200158402,
      0.0950698471230417,
      0.0806653283279345,
      0.0520641726030279,
      0.0217208252447158,
      0.00594463310879357,
      0.00114404961294417,
      0.0000217249973292981,
      0,
      0.000387601847432725,
      0.0154324093918973,
      0.0531357665936783,
      0.08228416162805,
      0.0860619065405538,
      0.0814616262796717,
      0.0687463223130556,
      0.067789191613914,
      0.0679068793321331,
      0.0652751176835256,
      0.0683010704414258,
      0.0742298514470854,
      0.0802265325002585,
      0.0782011324425742,
      0.072416151126469,
      0.0790775692051604,
      0.0855235729713412,
      0.0822351609627962,
      0.0795297256666403,
      0.0774805303422768,
      0.0767426289364626,
      0.0766337481638337,
      0.0921862078703914,
      0.106233160185814,
      0.0886968397147433,
      0.0724116829849107,
      0.0786992297441406,
      0.084979698452175,
      0.0820386744348626,
      0.0815423729263905,
      0.0798804838118605,
      0.0755534634275118,
      0.0737423760599933,
      0.0847150613715313,
      0.0978686512880616,
      0.0964380797814917,
      0.0860875450007297,
      0.0834948821911931,
      0.0972065683369179,
      0.109890570681159,
      0.110675087010742,
      0.103287516500262,
      0.0899718846592316,
      0.0817043267319859,
      0.0859932891248493,
      0.0910934304880544,
      0.0884101659181207,
      0.0816144376675743,
      0.0824334834257685,
      0.098263929352009,
      0.106948997161773,
      0.104468991947593,
      0.110080119570539,
      0.104218172836749,
      0.0896535083036556,
      0.0884853233712199,
      0.083701210015149,
      0.0718024388971358,
      0.0717146090550438,
      0.0859591200516058,
      0.103643660756517,
      0.0983113097153562,
      0.0805144210901493,
      0.0742886687480221,
      0.0825939966366974,
      0.0958713472151154,
      0.0920503829640025,
      0.074613633623583,
      0.0668319367829287,
      0.0711605966561772,
      0.0873352060414722,
      0.103836843572589,
      0.0934783674985561,
      0.0758333902878171,
      0.0766646719932478,
      0.0944623483361924,
      0.100719544472849,
      0.0799421633368079,
      0.0630056521695547,
      0.0616203853640754,
      0.0694273217979214,
      0.0770503905657295,
      0.0820226614501472,
      0.0875574731620198,
      0.091173979356151,
      0.0866801562313013,
      0.0837602161722457,
      0.0896341861062115,
      0.09098511090489,
      0.0784027438266219,
      0.0683965318871556,
      0.0726982225712784,
      0.0793328439826476,
      0.0832884248358242,
      0.089166980320475,
      0.0937958931554174,
      0.0884157946232843,
      0.079883742413262,
      0.0835950187069329,
      0.090442590563535,
      0.0867987051198234,
      0.0778528474282198,
      0.0757261542849995,
      0.0824141486593261,
      0.099634829637254,
      0.104145353171204,
      0.0865137984119164,
      0.076946038408435,
      0.0736713608876641,
      0.0785354990019453,
      0.0978054522092054,
      0.0980428232778687,
      0.0806467032769561,
      0.0759018790486389,
      0.08442276270373,
      0.1012126703813,
      0.102189247858968,
      0.0867407499534544,
      0.0828276970975078,
      0.0807374185518215,
      0.0827945930582484,
      0.0878821057198388,
      0.0807611167663701,
      0.0724562228001849,
      0.0778585361427472,
      0.0965801857523142,
      0.103209456796634,
      0.0840491159444977,
      0.0692121532658293,
      0.0708583023793501,
      0.081784497434368,
      0.0944636714449057,
      0.0885744069707181,
      0.0732130354224059,
      0.0685958356970385,
      0.0777073235920002,
      0.096823170919316,
      0.102984128392667,
      0.0830778547896667,
      0.0651357521199072,
      0.0703406209288871,
      0.0895668058496017,
      0.0929106549542921,
      0.0734609517043645,
      0.0631814731607236,
      0.076217995406272,
      0.0950528853978057,
      0.0994395641771893,
      0.091707930642348,
      0.0908985866212153,
      0.0942486160520752,
      0.0905995851470738,
      0.0897184090872631,
      0.0883724955500721,
      0.0911931866638893,
      0.0903173211888157,
      0.0793118819415553,
      0.0729832920199205,
      0.0750631004423972,
      0.0849350055577763,
      0.0935361011146005,
      0.088734095260904,
      0.0742587375031492,
      0.064957139187319,
      0.0701881399053028,
      0.0771637200940459,
      0.073860400925944,
      0.0710227021198674,
      0.0807748943752561,
      0.0973503855296016,
      0.0945243224402753,
      0.0752899310519578,
      0.067463414586092,
      0.0754826527626588,
      0.0908854068417866,
      0.0982763807276907,
      0.0839806643102185,
      0.0702577671502924,
      0.0704891799223829,
      0.0827600353406715,
      0.10026815621398,
      0.0974903617081019,
      0.0772877657989023,
      0.0729467858548588,
      0.0918045487685859,
      0.100983771631073,
      0.0798149405432497,
      0.0605075845745288,
      0.0619882863329636,
      0.0670131233843873,
      0.0655639028817376,
      0.0711894155384624,
      0.0829486450717106,
      0.0755946082996549,
      0.0457225640394615,
      0.0186756230193822,
      0.00508004103052323,
      0.000842695186499541,
      0.0000075930483163562,
      -6.99757085432021e-18,
      0.000158545514848769,
      0.00911496251307575,
      0.0374645403488242,
      0.0657118607617985,
      0.0676918851189279,
      0.0651461756984274,
      0.0636777839213586,
      0.0669827501986326,
      0.0667083574181733,
      0.0624737160747549,
      0.0626309432806521,
      0.0662563898569119,
      0.0707287887443966,
      0.068768025670461,
      0.0639785761134866,
      0.069677749523739,
      0.0747716422324892,
      0.0699891721351619,
      0.0665278992860362,
      0.0645440620584932,
      0.0638377552598664,
      0.0638321874521419,
      0.0748185749532455,
      0.0871882643570063,
      0.0767519666366735,
      0.0647298113111909,
      0.0699146422699277,
      0.0738207953548643,
      0.0684554598385401,
      0.0678799168353844,
      0.0692557357412344,
      0.0661916579150291,
      0.0646538845208846,
      0.0731343890218255,
      0.0816019326682182,
      0.0779500303016562,
      0.070136637384105,
      0.0670251711371121,
      0.0791024240299996,
      0.0922006404995363,
      0.0950043747859777,
      0.0895805939106548,
      0.0766047460350626,
      0.0715729489171483,
      0.0750547438941639,
      0.0763993942849991,
      0.0720851670495093,
      0.0661830793413863,
      0.0667751602407938,
      0.0837871561147858,
      0.0950235205214282,
      0.0934718314493169,
      0.0959287894398505,
      0.0879843924038976,
      0.0796301570314141,
      0.0814064881549021,
      0.0761870721153051,
      0.0629353190364189,
      0.058088794916158,
      0.0691162402662852,
      0.0926612927601846,
      0.0958991861216162,
      0.0758534242746469,
      0.0633302408176188,
      0.0672545035163487,
      0.0865065245808762,
      0.0940717558428234,
      0.0750347766849784,
      0.0585891226493179,
      0.0595981382565698,
      0.0772387709418855,
      0.104117620123952,
      0.0985649518429084,
      0.0730972222585718,
      0.0656456773933441,
      0.0751099635223771,
      0.0850806512753012,
      0.0765945084947336,
      0.060673489071024,
      0.0545288106275094,
      0.0570570693769901,
      0.0594642410110599,
      0.0639649455299639,
      0.0732108077803616,
      0.0773143185007869,
      0.0726010655517667,
      0.069310506990494,
      0.0723876542507027,
      0.0756236149363544,
      0.0693438465678599,
      0.0603212178452275,
      0.0601775392889843,
      0.0613619505515118,
      0.0647180305601848,
      0.0734336920432098,
      0.0766716524441913,
      0.0718835551395446,
      0.0670812639112409,
      0.0727957412647163,
      0.0834802751707896,
      0.0800066357501382,
      0.0694275090487905,
      0.0665132494003249,
      0.0673913231086361,
      0.0773654193787073,
      0.0873063994986433,
      0.0794665465824283,
      0.0687744125524717,
      0.0640323834367182,
      0.0682275535937859,
      0.0824907081326202,
      0.0830822010587468,
      0.0718789828076529,
      0.0670919093991073,
      0.0675444396718335,
      0.0771493475010673,
      0.0850800862331315,
      0.0780982268084879,
      0.0716232929442311,
      0.0688394397537412,
      0.0739611199404825,
      0.0824465435122516,
      0.0732393366760614,
      0.0596754763011336,
      0.060516658736933,
      0.0817484565027315,
      0.0988082325403086,
      0.0830836826381489,
      0.0627144008378741,
      0.0599830087845703,
      0.0714072523769283,
      0.0941478839494938,
      0.0926130908309185,
      0.0692259930654279,
      0.0579982254533652,
      0.0632559001751211,
      0.0852756470338337,
      0.101933971247573,
      0.083884634529168,
      0.0593897417188404,
      0.0605555892673709,
      0.0831386050306641,
      0.0898289655838044,
      0.0691688550421101,
      0.0617914714082708,
      0.080374773185401,
      0.0972413336166332,
      0.0950242580636926,
      0.0867372156529287,
      0.090495677597023,
      0.0964792665517166,
      0.0896421250735372,
      0.0884303365241945,
      0.0915691962414069,
      0.0902633655430387,
      0.0818483972525531,
      0.0736356555852885,
      0.0703891766664319,
      0.0696002815385245,
      0.0761803126427446,
      0.0816692556032551,
      0.0757081752087034,
      0.064842048606196,
      0.0602837540367392,
      0.0692598763036125,
      0.0750659022460432,
      0.0653387878865325,
      0.0581625926956053,
      0.0646141575292697,
      0.0875319308833084,
      0.0955604604053209,
      0.0741291290501099,
      0.058299844363862,
      0.0610734987023879,
      0.078772916638994,
      0.0974333221328109,
      0.0855468676076403,
      0.0630561970471752,
      0.05874041676345,
      0.0715078438187796,
      0.0989701172714815,
      0.10375734196726,
      0.0791106456940195,
      0.0679114656684533,
      0.0811054323953076,
      0.0946763085012766,
      0.0868880411893296,
      0.0687883113567187,
      0.0597526897066211,
      0.0655000743650792,
      0.0714680053612763,
      0.0710565855138506,
      0.07031033121129,
      0.060971736210723,
      0.0386680364432072,
      0.0170692069827301,
      0.0047326237977548,
      0.000692477055730425,
      0.00000402253266168942,
      2.44914979901207e-17,
      0.0000554050940133123,
      0.00579991093844472,
      0.0298403979358082,
      0.0605453405713138,
      0.0682794955770025,
      0.067971828055507,
      0.0661966415978514,
      0.0661527843984971,
      0.0670339567917152,
      0.0677852686882795,
      0.0664934995551858,
      0.0681866925012271,
      0.0719388638376813,
      0.0668359257653751,
      0.0591676180659686,
      0.0622999855567322,
      0.0694964872337052,
      0.0703215668064295,
      0.0671128348548462,
      0.0611202777293336,
      0.058268272166984,
      0.0610047617660135,
      0.0709939128887602,
      0.078181267336101,
      0.0689226921589844,
      0.058563094088642,
      0.0612483016261914,
      0.0677820560034375,
      0.0691040347834428,
      0.068600040916273,
      0.0667858769045136,
      0.061437302305962,
      0.0576023407853477,
      0.0662290867475673,
      0.0803486891216709,
      0.0762413775973343,
      0.0635103675597592,
      0.060214106668522,
      0.0673282175362832,
      0.0733810174550117,
      0.074209878106344,
      0.0749281444512443,
      0.071776596511467,
      0.0693472368526817,
      0.0742759229808294,
      0.0793222705159919,
      0.0719545555373668,
      0.0609319520109802,
      0.0603971456607806,
      0.0698612577949768,
      0.0735883714734933,
      0.0716363222406412,
      0.0737020645452068,
      0.0714384282276154,
      0.0717473342704198,
      0.0765770105007482,
      0.0723216979331373,
      0.0614475536108473,
      0.05744672602282,
      0.06972558486162,
      0.0893637923714411,
      0.0883775301880915,
      0.0699403289560463,
      0.0601205531457523,
      0.0646899607024023,
      0.0785188993593442,
      0.0851513415746809,
      0.0714397780588065,
      0.0573694230281481,
      0.0572557902346586,
      0.0717124107843495,
      0.0902963935763308,
      0.0851375075102632,
      0.0668545626554085,
      0.0613712455281145,
      0.0725482476117087,
      0.0842490895768496,
      0.0772424073999017,
      0.0635922612057792,
      0.0562488995922447,
      0.0533301577040314,
      0.0528868990699792,
      0.0568264780073486,
      0.0639240329637287,
      0.0660306092829381,
      0.0611638417021351,
      0.0588798344845926,
      0.0655054147226438,
      0.0767489896483056,
      0.0747071769935431,
      0.062357528521424,
      0.0568579819648115,
      0.055333723978603,
      0.0579863452579375,
      0.0646365342865858,
      0.0650195778727892,
      0.0597258218522633,
      0.0590165733489725,
      0.0688465291632841,
      0.0837223147155655,
      0.0804347756385683,
      0.068382848062385,
      0.0661170676895231,
      0.0671914005534687,
      0.072412765382099,
      0.0781755918032132,
      0.0753543046516335,
      0.065991331232455,
      0.0622254139719281,
      0.0670771802294549,
      0.0748732352797202,
      0.0748216392600985,
      0.0695930136419079,
      0.0675727144778741,
      0.0682272185092477,
      0.0707221618250829,
      0.0723635536719098,
      0.0712108024421369,
      0.0663344122251053,
      0.060145319463181,
      0.0672101857649737,
      0.0792587440532268,
      0.0702089046041914,
      0.0574497337519552,
      0.0602833584058958,
      0.0801155137348531,
      0.0938474478317366,
      0.0780407319325879,
      0.0592921466491899,
      0.0567067174325232,
      0.0657713197575378,
      0.0810000611363939,
      0.0816248753212765,
      0.0659748378010431,
      0.0562842897910578,
      0.0624422016716906,
      0.0802887024759246,
      0.0912732700954574,
      0.0757776002276475,
      0.0557856263157917,
      0.0584180509781924,
      0.0858541888772749,
      0.0943347374314986,
      0.069998095264028,
      0.0635574796258886,
      0.0855780868017185,
      0.0995264005576453,
      0.0911182869296963,
      0.0821769207764039,
      0.0857810048503655,
      0.0957678315991876,
      0.0948862153048208,
      0.0956402077834632,
      0.099021996949607,
      0.0940657526970513,
      0.0831550655299795,
      0.0760580070352393,
      0.0733191418331849,
      0.0708082961429683,
      0.0747744771164252,
      0.0783725575293636,
      0.07273098833647,
      0.0610687753225372,
      0.0538422612160849,
      0.0639525213581297,
      0.0749953958837708,
      0.0663254976749949,
      0.0574550288894097,
      0.0667675151616629,
      0.0888655993573008,
      0.0927197395204326,
      0.0712764700536494,
      0.0564100418821433,
      0.0590983109878639,
      0.0739446650333448,
      0.0887292375107913,
      0.0798470944812344,
      0.0610343484402353,
      0.0557495523589319,
      0.0656405302819589,
      0.0836918792362268,
      0.0873086119408774,
      0.0710843876614539,
      0.0647108669531816,
      0.082700226567306,
      0.0945265718769758,
      0.08533676208952,
      0.0720095745099737,
      0.0661297112609466,
      0.0745286935234105,
      0.0827194860145317,
      0.0817855975483729,
      0.0771956692965292,
      0.0595037900360406,
      0.0355362947791108,
      0.0159789449067793,
      0.0042976910861347,
      0.000656508108908836,
      0.00000542365887854145
    ],
    "downbeat_timestamps": [
      0.673378684807256,
      2.08979591836735,
      3.48299319727891,
      4.899410430839,
      6.26938775510204,
      7.68580498866213,
      9.0790022675737,
      10.4721995464853,
      11.8653968253968,
      13.2585941043084,
      14.6285714285714,
      16.0449886621315,
      17.4149659863946,
      18.8313832199546,
      20.2013605442177,
      21.6409977324263,
      23.0341950113379,
      24.4273922902494,
      25.820589569161,
      27.2137868480726,
      28.5837641723356,
      29.9769614512472,
      31.3701587301587,
      32.7633560090703,
      34.1797732426304,
      35.5729705215419,
      36.9661678004535,
      38.312925170068,
      39.7525623582766,
      41.1689795918367,
      42.5621768707483,
      43.9321541950113,
      45.3253514739229,
      46.7185487528345,
      48.111746031746,
      49.4817233560091,
      50.9213605442177,
      52.2913378684807,
      53.7077551020408,
      55.1009523809524,
      56.5173696145125,
      57.910566893424,
      59.2805442176871,
      60.6969614512472,
      62.0901587301587,
      63.4833560090703,
      64.8765532879819,
      66.2697505668934,
      67.662947845805,
      69.0561451247166,
      70.4493424036281,
      71.8657596371882,
      73.2589569160998,
      74.6521541950113,
      76.0221315192744,
      77.4385487528345,
      78.831746031746,
      80.2249433106576,
      81.6181405895692,
      83.0113378684807,
      84.4045351473923,
      85.7745124716553,
      87.1909297052154,
      88.584126984127,
      90.0005442176871,
      91.3937414965986,
      92.7637188208617,
      94.1801360544218,
      95.5733333333333,
      96.9433106575964,
      98.3597278911565,
      99.752925170068,
      101.14612244898,
      102.56253968254,
      103.909297052154,
      105.325714285714,
      106.742131519274,
      108.135328798186,
      109.528526077098,
      110.898503401361,
      112.314920634921,
      113.708117913832,
      115.078095238095,
      116.471292517007,
      117.887709750567,
      119.304126984127,
      120.697324263039,
      122.067301587302,
      123.460498866213,
      124.876916099773,
      126.246893424036,
      127.663310657596,
      129.056507936508,
      130.449705215419,
      131.842902494331,
      133.236099773243,
      134.629297052154,
      136.045714285714,
      137.415691609977,
      138.832108843537,
      140.225306122449,
      141.618503401361,
      143.011700680272,
      144.404897959184,
      145.798095238095,
      147.14485260771,
      148.491609977324,
      149.861587301587,
      151.254784580499,
      152.671201814059,
      154.041179138322,
      155.573696145125,
      156.966893424036,
      158.360090702948,
      159.730068027211,
      161.146485260771,
      162.539682539683,
      163.956099773243,
      165.326077097506,
      166.719274376417,
      168.135691609977,
      169.528888888889,
      170.898866213152,
      172.315283446712,
      173.708480725624,
      175.101678004535,
      176.494875283447,
      177.888072562358,
      179.28126984127,
      180.674467120181,
      182.067664399093,
      183.460861678005,
      184.877278911565,
      186.270476190476,
      187.640453514739,
      189.056870748299,
      190.473287981859,
      191.912925170068,
      193.213242630385,
      194.606439909297,
      196.046077097506,
      197.369614512472,
      198.832471655329,
      200.22566893424
    ],
    "per_beat_energy": [
      0,
      1,
      1,
      1,
      0.9358,
      0.9358,
      1,
      0.9618,
      0.9618,
      1,
      1,
      0.917,
      0.917,
      1,
      0.8932,
      0.8932,
      1,
      0.9395,
      0.9395,
      1,
      1,
      0.8472,
      0.8472,
      1,
      1,
      1,
      0.9515,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.841,
      0.841,
      1,
      1,
      1,
      0.9256,
      1,
      1,
      0.9958,
      1,
      1,
      1,
      0.9755,
      0.9723,
      0.9723
    ],
    "per_beat_centroid": [
      0.0432,
      0.0616,
      0.0616,
      0.058,
      0.0603,
      0.0603,
      0.0547,
      0.0589,
      0.0589,
      0.0568,
      0.0533,
      0.057,
      0.057,
      0.0501,
      0.0797,
      0.0797,
      0.0699,
      0.0631,
      0.0631,
      0.0437,
      0.0423,
      0.0679,
      0.0679,
      0.0565,
      0.0451,
      0.0451,
      0.0647,
      0.0493,
      0.0493,
      0.0395,
      0.0561,
      0.118,
      0.118,
      0.0784,
      0.0978,
      0.0978,
      0.0625,
      0.0697,
      0.0697,
      0.0952,
      0.0584,
      0.0856,
      0.0856,
      0.0801,
      0.0516,
      0.0516,
      0.0396,
      0.0726,
      0.0726,
      0.0558,
      0.0807,
      0.0807,
      0.1018,
      0.055,
      0.0612,
      0.0612,
      0.1328,
      0.0527,
      0.0527,
      0.0873,
      0.0726,
      0.0726,
      0.0709,
      0.0649,
      0.0548,
      0.0548,
      0.0616,
      0.0902,
      0.0902,
      0.0625,
      0.0767,
      0.0767,
      0.0916,
      0.0568,
      0.0907,
      0.0907,
      0.0837,
      0.0523,
      0.0523,
      0.0353,
      0.0792,
      0.0792,
      0.047,
      0.0809,
      0.0809,
      0.0999,
      0.0488,
      0.0815,
      0.0815,
      0.1206,
      0.0516,
      0.0516,
      0.0972,
      0.0594,
      0.0594,
      0.068,
      0.0659,
      0.115,
      0.115,
      0.0468,
      0.0983,
      0.0983,
      0.1082,
      0.0436,
      0.0436,
      0.1184,
      0.0822,
      0.0822,
      0.0743,
      0.0947,
      0.0418,
      0.0418,
      0.0405,
      0.0847,
      0.0847,
      0.0703,
      0.0744,
      0.0797,
      0.0797,
      0.0483,
      0.1285,
      0.1285,
      0.1027,
      0.0922,
      0.0922,
      0.1683,
      0.0394,
      0.0481,
      0.0481,
      0.0814,
      0.1044,
      0.1044,
      0.0495,
      0.106,
      0.106,
      0.098,
      0.0456,
      0.0456,
      0.1169,
      0.079,
      0.079,
      0.073,
      0.0935,
      0.0415,
      0.0415,
      0.0523,
      0.0878,
      0.0878,
      0.0566,
      0.0888,
      0.0627,
      0.0627,
      0.0619,
      0.1282,
      0.1282,
      0.0946,
      0.1093,
      0.1093,
      0.158,
      0.0793,
      0.0731,
      0.0731,
      0.0821,
      0.0392,
      0.0392,
      0.0693,
      0.1252,
      0.1252,
      0.0582,
      0.0652,
      0.0652,
      0.0712,
      0.1026,
      0.0689,
      0.0689,
      0.1459,
      0.1424,
      0.1424,
      0.1102,
      0.1205,
      0.1205,
      0.07,
      0.13,
      0.1021,
      0.1021,
      0.0563,
      0.0867,
      0.0867,
      0.1331,
      0.1182,
      0.1182,
      0.1703,
      0.1843,
      0.1235,
      0.1235,
      0.1301,
      0.064,
      0.064,
      0.0712,
      0.1199,
      0.1199,
      0.0606,
      0.0711,
      0.0711,
      0.0666,
      0.0996,
      0.0898,
      0.0898,
      0.1426,
      0.1405,
      0.1405,
      0.1106,
      0.1174,
      0.0692,
      0.0692,
      0.1374,
      0.0932,
      0.0932,
      0.05,
      0.0901,
      0.0901,
      0.1546,
      0.1109,
      0.1109,
      0.1731,
      0.1831,
      0.1193,
      0.1193,
      0.1277,
      0.0614,
      0.0614,
      0.1228,
      0.0982,
      0.0982,
      0.0428,
      0.0813,
      0.0762,
      0.0762,
      0.2125,
      0.1134,
      0.1134,
      0.0341,
      0.0595,
      0.0595,
      0.0736,
      0.0681,
      0.0681,
      0.0486,
      0.1063,
      0.0688,
      0.0688,
      0.0736,
      0.0982,
      0.0982,
      0.0951,
      0.0828,
      0.0847,
      0.0847,
      0.0401,
      0.2114,
      0.2114,
      0.0724,
      0.0483,
      0.0483,
      0.1355,
      0.0847,
      0.0847,
      0.0459,
      0.086,
      0.0903,
      0.0903,
      0.2102,
      0.1,
      0.1,
      0.0308,
      0.0582,
      0.0582,
      0.0726,
      0.0682,
      0.0682,
      0.0483,
      0.1181,
      0.0609,
      0.0609,
      0.0764,
      0.1073,
      0.1073,
      0.0756,
      0.0829,
      0.0829,
      0.0807,
      0.0401,
      0.2288,
      0.2288,
      0.0688,
      0.0412,
      0.0412,
      0.0705,
      0.0585,
      0.0585,
      0.0767,
      0.1206,
      0.1282,
      0.1282,
      0.0583,
      0.0778,
      0.0778,
      0.0479,
      0.0424,
      0.0424,
      0.0802,
      0.1216,
      0.0644,
      0.0644,
      0.0887,
      0.0399,
      0.0399,
      0.1374,
      0.1598,
      0.1598,
      0.06,
      0.0851,
      0.0792,
      0.0792,
      0.0323,
      0.0764,
      0.0764,
      0.1272,
      0.0327,
      0.0327,
      0.0721,
      0.0838,
      0.0838,
      0.057,
      0.1164,
      0.1244,
      0.1244,
      0.0558,
      0.0775,
      0.0775,
      0.0535,
      0.0465,
      0.1218,
      0.1218,
      0.0765,
      0.0626,
      0.0626,
      0.0858,
      0.0409,
      0.0409,
      0.1602,
      0.1446,
      0.1446,
      0.0791,
      0.0955,
      0.0866,
      0.0866,
      0.0531,
      0.0992,
      0.0992,
      0.0989,
      0.0566,
      0.0566,
      0.1035,
      0.0844,
      0.0418,
      0.0418,
      0.083,
      0.0833,
      0.0833,
      0.0926,
      0.1428,
      0.1428,
      0.1507,
      0.0748,
      0.0748,
      0.1332,
      0.0686,
      0.0936,
      0.0936,
      0.13,
      0.0738,
      0.0738,
      0.078,
      0.1027,
      0.1273,
      0.1273,
      0.1203,
      0.1487,
      0.1487,
      0.1507,
      0.1272,
      0.1272,
      0.0863,
      0.0551,
      0.0551,
      0.1103,
      0.0741,
      0.0468,
      0.0468,
      0.0791,
      0.0883,
      0.0883,
      0.089,
      0.1459,
      0.1459,
      0.1469,
      0.0743,
      0.1311,
      0.1311,
      0.0732,
      0.1045,
      0.1045,
      0.1225,
      0.0709,
      0.0709,
      0.0747,
      0.1135,
      0.1135,
      0.1567,
      0.124,
      0.124,
      0.1845,
      0.1567,
      0.1567,
      0.1285,
      0.0869,
      0.0181,
      0.0181,
      0.0183,
      0.0274,
      0.0274,
      0.0407,
      0.0445,
      0.0445,
      0.0293,
      0.0357,
      0.1526,
      0.1526,
      0.0684,
      0.0414,
      0.0414,
      0.0297,
      0.0437,
      0.0358,
      0.0358,
      0.0509,
      0.0388,
      0.0388,
      0.0271,
      0.0741,
      0.0512,
      0.0512,
      0.0474,
      0.0723,
      0.0723,
      0.2045,
      0.0681,
      0.0681,
      0.0643,
      0.0773,
      0.0773,
      0.096,
      0.0466,
      0.0594,
      0.0594,
      0.0887,
      0.0531,
      0.0531,
      0.08,
      0.0685,
      0.0685,
      0.0503,
      0.0661,
      0.0696,
      0.0696,
      0.0465,
      0.1268,
      0.1268,
      0.0559,
      0.0601,
      0.0601,
      0.1182,
      0.0876,
      0.0848,
      0.0848,
      0.1113,
      0.0556,
      0.0556,
      0.0436,
      0.0729,
      0.0729,
      0.0425,
      0.0705,
      0.1126,
      0.1126,
      0.06,
      0.0729,
      0.0729,
      0.0662,
      0.1042,
      0.1042,
      0.0866,
      0.1438,
      0.1438,
      0.1385,
      0.1125,
      0.1147,
      0.1147,
      0.0696,
      0.136,
      0.136,
      0.0937,
      0.0503,
      0.0503,
      0.0936,
      0.123,
      0.1169,
      0.1169,
      0.1747,
      0.1467,
      0.1467,
      0.0925,
      0.1262,
      0.1262,
      0.0582,
      0.0681,
      0.1171,
      0.1171,
      0.0604,
      0.0703,
      0.0703,
      0.07,
      0.1037,
      0.1037,
      0.1012,
      0.1276,
      0.1276,
      0.138,
      0.1101,
      0.1032,
      0.1032,
      0.0726,
      0.1389,
      0.1389,
      0.0822,
      0.0578,
      0.0903,
      0.0903,
      0.1726,
      0.0828,
      0.0828,
      0.1807,
      0.1711,
      0.1711,
      0.1185,
      0.1235,
      0.1235,
      0.1111,
      0.17,
      0.1703,
      0.1703,
      0.1594,
      0.1659,
      0.1659,
      0.1533,
      0.1662,
      0.1662,
      0.1868,
      0.1771,
      0.181,
      0.181,
      0.1707,
      0.1771,
      0.1771
    ],
    "per_beat_dominant_band": [
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "mid",
      "high",
      "high",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "high",
      "high",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "mid",
      "low_mid",
      "low_mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "high",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "high",
      "high",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "high",
      "high",
      "low_mid",
      "mid",
      "mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "mid",
      "low_mid",
      "low_mid",
      "sub_bass",
      "low_mid",
      "low_mid",
      "high",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "high",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "high",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid"
    ],
    "tempo_marking": "moderato",
    "energy_shape": "steady"
  },
  "harmonic": {
    "key": "G",
    "mode": "minor",
    "camelot_position": "6A",
    "non_western_scale": false,
    "chord_progression_complexity": 0.00295588904047294,
    "harmonic_tension_curve": [
      0,
      0.499997317790985,
      0.499998301267624,
      0.499998867511749,
      0.499996453523636,
      0.499996602535248,
      0.499995648860931,
      0.499995648860931,
      0.49999526143074,
      0.499996811151505,
      0.499996870756149,
      0.499998301267624,
      0.49999937415123,
      0.499999940395355,
      0.499894261360168,
      0.499999463558197,
      0.499999940395355,
      0.499988079071045,
      0.499999850988388,
      0.499999791383743,
      0.49999988079071,
      0.499920576810837,
      0.499999493360519,
      0.5,
      0.499997675418854,
      0.499999493360519,
      0.499999076128006,
      0.499983817338943,
      0.499985158443451,
      0.499997109174728,
      0.499997735023499,
      0.499867469072342,
      0.499878197908401,
      0.499905824661255,
      0.499999791383743,
      0.499824106693268,
      0.499883651733398,
      0.499821662902832,
      0.499998241662979,
      0.499729156494141,
      0.499860435724258,
      0.49976721405983,
      0.499688029289246,
      0.499901711940765,
      0.499860048294067,
      0.499894827604294,
      0.499999284744263,
      0.499993592500687,
      0.499999433755875,
      0.499997645616531,
      0.499980598688126,
      0.499994277954102,
      0.499988734722137,
      0.499905914068222,
      0.499840378761292,
      0.49994757771492,
      0.499888688325882,
      0.499796241521835,
      0.49979892373085,
      0.499862998723984,
      0.499870032072067,
      0.499878197908401,
      0.499760419130325,
      0.49982887506485,
      0.49980902671814,
      0.499897062778473,
      0.49975597858429,
      0.499854445457458,
      0.49999213218689,
      0.499990969896317,
      0.499994933605194,
      0.499860256910324,
      0.499982804059982,
      0.499999284744263,
      0.499923586845398,
      0.499968349933624,
      0.499861896038055,
      0.499877423048019,
      0.499882578849792,
      0.499891519546509,
      0.499864518642426,
      0.499853253364563,
      0.499839454889297,
      0.499854415655136,
      0.499817848205566,
      0.499824076890945,
      0.499853163957596,
      0.499870777130127,
      0.499884933233261,
      0.499915540218353,
      0.499889940023422,
      0.499984294176102,
      0.499999284744263,
      0.499999493360519,
      0.49998813867569,
      0.499987006187439,
      0.499998986721039,
      0.499997615814209,
      0.499853074550629,
      0.499870806932449,
      0.499886780977249,
      0.499999403953552,
      0.499847620725632,
      0.499873995780945,
      0.499885499477386,
      0.499735772609711,
      0.499851226806641,
      0.499862402677536,
      0.499862462282181,
      0.499866306781769,
      0.499848574399948,
      0.499876916408539,
      0.499982744455338,
      0.499874979257584,
      0.499993592500687,
      0.499892294406891,
      0.499900341033936,
      0.4999980032444,
      0.499814510345459,
      0.499988406896591,
      0.499999910593033,
      0.499876916408539,
      0.499990075826645,
      0.49998927116394,
      0.499777674674988,
      0.499845802783966,
      0.499761819839478,
      0.499696373939514,
      0.499691396951675,
      0.499775856733322,
      0.499726116657257,
      0.499855518341064,
      0.499721109867096,
      0.499787747859955,
      0.499991536140442,
      0.499920934438705,
      0.499985367059708,
      0.499998271465302,
      0.499860614538193,
      0.49995744228363,
      0.49999937415123,
      0.499862730503082,
      0.49997079372406,
      0.499876320362091,
      0.499877780675888,
      0.499987125396729,
      0.499780982732773,
      0.499853402376175,
      0.499850571155548,
      0.499688237905502,
      0.499762088060379,
      0.499754726886749,
      0.499752730131149,
      0.499799579381943,
      0.499844342470169,
      0.499811977148056,
      0.499899357557297,
      0.499883443117142,
      0.499986886978149,
      0.499997645616531,
      0.499999642372131,
      0.49999275803566,
      0.499989986419678,
      0.499869287014008,
      0.499979615211487,
      0.499907404184341,
      0.499844372272491,
      0.499859839677811,
      0.499999135732651,
      0.499858319759369,
      0.499863982200623,
      0.499879240989685,
      0.49992448091507,
      0.499742209911346,
      0.499858260154724,
      0.499832689762115,
      0.499794751405716,
      0.499870002269745,
      0.499921083450317,
      0.49999737739563,
      0.49992361664772,
      0.499987214803696,
      0.499900221824646,
      0.499998807907104,
      0.49999326467514,
      0.499782860279083,
      0.499989777803421,
      0.499995499849319,
      0.499851703643799,
      0.499999314546585,
      0.499897837638855,
      0.499807596206665,
      0.499859809875488,
      0.499846667051315,
      0.499868452548981,
      0.49985346198082,
      0.499793022871017,
      0.49982613325119,
      0.499828964471817,
      0.499876946210861,
      0.49962118268013,
      0.499853163957596,
      0.499908775091171,
      0.499969780445099,
      0.499901473522186,
      0.499988704919815,
      0.49999138712883,
      0.499999463558197,
      0.49994283914566,
      0.499998569488525,
      0.499856144189835,
      0.499881953001022,
      0.499892204999924,
      0.499785661697388,
      0.499857842922211,
      0.499981850385666,
      0.499855816364288,
      0.499822616577148,
      0.499855488538742,
      0.499817341566086,
      0.499863296747208,
      0.499854356050491,
      0.499865621328354,
      0.499866545200348,
      0.499877065420151,
      0.499991238117218,
      0.499907046556473,
      0.499998420476913,
      0.499989360570908,
      0.499984890222549,
      0.499999791383743,
      0.499982357025146,
      0.499847739934921,
      0.4998659491539,
      0.499896436929703,
      0.499888390302658,
      0.499820113182068,
      0.499852240085602,
      0.499837726354599,
      0.499835431575775,
      0.499752134084702,
      0.499886870384216,
      0.499885708093643,
      0.499858260154724,
      0.499883353710175,
      0.499885410070419,
      0.499947965145111,
      0.499948114156723,
      0.499990791082382,
      0.49985259771347,
      0.499908477067947,
      0.499998152256012,
      0.499992787837982,
      0.49998614192009,
      0.499998450279236,
      0.49999874830246,
      0.499995201826096,
      0.499990254640579,
      0.499775022268295,
      0.499820977449417,
      0.499794661998749,
      0.499719709157944,
      0.499764114618301,
      0.499657899141312,
      0.499704331159592,
      0.499757379293442,
      0.49993959069252,
      0.49979305267334,
      0.499992668628693,
      0.499895989894867,
      0.499983668327332,
      0.499996155500412,
      0.499864488840103,
      0.499999582767487,
      0.499999731779099,
      0.499973505735397,
      0.499986320734024,
      0.499943226575851,
      0.499879956245422,
      0.499990522861481,
      0.4997898042202,
      0.499835729598999,
      0.499845832586288,
      0.499738663434982,
      0.499758452177048,
      0.499778240919113,
      0.4997498691082,
      0.499816566705704,
      0.499890506267548,
      0.499807298183441,
      0.499941885471344,
      0.499976813793182,
      0.499996215105057,
      0.499911189079285,
      0.499986559152603,
      0.49997952580452,
      0.499990910291672,
      0.499999642372131,
      0.499990999698639,
      0.499990463256836,
      0.499983608722687,
      0.499973595142365,
      0.499923914670944,
      0.499836057424545,
      0.499772548675537,
      0.499738574028015,
      0.499753415584564,
      0.499834030866623,
      0.499861121177673,
      0.499791651964188,
      0.499862730503082,
      0.499828517436981,
      0.499761968851089,
      0.499943822622299,
      0.499968379735947,
      0.499967783689499,
      0.499897718429565,
      0.499891698360443,
      0.499987185001373,
      0.499841928482056,
      0.499986976385117,
      0.49988466501236,
      0.499831289052963,
      0.499889671802521,
      0.49999526143074,
      0.49978294968605,
      0.499748319387436,
      0.499813556671143,
      0.499872207641602,
      0.499784171581268,
      0.499659448862076,
      0.499759763479233,
      0.499784737825394,
      0.499817103147507,
      0.4997838139534,
      0.499998539686203,
      0.499903321266174,
      0.499995499849319,
      0.499997705221176,
      0.499832659959793,
      0.499996423721313,
      0.499998718500137,
      0.499961972236633,
      0.499984413385391,
      0.499993890523911,
      0.499927759170532,
      0.499991804361343,
      0.499662488698959,
      0.499831527471542,
      0.49985146522522,
      0.499738603830338,
      0.499753832817078,
      0.499787300825119,
      0.499698132276535,
      0.499810755252838,
      0.499851226806641,
      0.499749064445496,
      0.499947756528854,
      0.499996572732925,
      0.499983429908752,
      0.499998956918716,
      0.49999412894249,
      0.499850541353226,
      0.499991178512573,
      0.49999988079071,
      0.499988198280334,
      0.499883711338043,
      0.499996781349182,
      0.499979674816132,
      0.499864220619202,
      0.499841749668121,
      0.499852329492569,
      0.499731063842773,
      0.499778360128403,
      0.499750137329102,
      0.499810248613358,
      0.499640136957169,
      0.499831587076187,
      0.499797970056534,
      0.499811977148056,
      0.499993473291397,
      0.499987721443176,
      0.499990969896317,
      0.499977111816406,
      0.499981850385666,
      0.499993890523911,
      0.499993622303009,
      0.499983578920364,
      0.499985665082932,
      0.499982863664627,
      0.499985903501511,
      0.499985724687576,
      0.499973803758621,
      0.499985784292221,
      0.499976605176926,
      0.499994307756424,
      0.49998527765274,
      0.499956727027893,
      0.499977678060532,
      0.49993708729744,
      0.499998062849045,
      0.49998727440834,
      0.49997878074646,
      0.499995201826096,
      0.49982950091362,
      0.499623775482178,
      0.499640017747879,
      0.499883145093918
    ],
    "modulation_events": 1,
    "resolution_frequency": 0.22237380627558,
    "tonal_brightness": 0.887703635054987,
    "hpcp_vector": [
      0.505843085421856,
      0.300494336820985,
      0.303450592538784,
      0.317269143225258,
      0.364257553212146,
      1,
      0.413566017210803,
      0.226027209551568,
      0.214271535597963,
      0.420757265967768,
      0.823388984385247,
      0.379849203019131
    ],
    "key_confidence": 0.829544901847839,
    "analyzed_at": "2026-03-22T16:25:27.594766+00:00",
    "key_map": [
      {
        "key": "D",
        "mode": "major",
        "start_seconds": 0
      },
      {
        "key": "G",
        "mode": "minor",
        "start_seconds": 10
      }
    ],
    "chromagram": [
      0.760377519687003,
      0.369278179152918,
      0.292251318716693,
      0.252437396736398,
      0.280430632026534,
      0.26785967719522,
      0.234729001308454,
      0.240621073888137,
      0.212963291888365,
      0.232259042473394,
      0.271564806963189,
      0.391675794799035,
      0.578158846097069,
      0.510920654916198,
      0.577901827623344,
      0.540681306863138,
      0.488888104372076,
      0.601067957862281,
      0.659917212288724,
      0.541882867367812,
      0.461788513038936,
      0.618928708075764,
      0.558384109500255,
      0.594539687914748,
      0.443983865809041,
      0.170993439384052,
      0.589311675000638,
      0.422717330920075,
      0.159497862622013,
      0.18893225667361,
      0.300619368446939,
      0.334153260253512,
      0.540382179667412,
      0.549241172094155,
      0.584485653441209,
      0.535446644942888,
      0.175551149362438,
      0.307020026328752,
      0.559414820135958,
      0.34011125703445,
      0.155887247362532,
      0.483547437284482,
      0.194426938744056,
      0.383162555832701,
      0.559226822368319,
      0.528509565836776,
      0.42229839984298,
      0.372040965353369,
      0.179341349616676,
      0.559133971905437,
      0.353447182359781,
      0.15178185505393,
      0.237074559398986,
      0.287328362148825,
      0.336951145569009,
      0.534589823760448,
      0.560659468114512,
      0.623177174722149,
      0.46794460593761,
      0.131551246631958,
      0.375426734620892,
      0.552720688960421,
      0.300730324904554,
      0.153814189422116,
      0.473673881935158,
      0.179753919330009,
      0.432742695751003,
      0.554978486285982,
      0.525428056226538,
      0.397509276295653,
      0.322360152189267,
      0.174583311557503,
      0.38436417229911,
      0.339036920160671,
      0.268272577042131,
      0.271146213494609,
      0.298215788620177,
      0.28014954668661,
      0.512194540050821,
      0.511462803859012,
      0.498462908159024,
      0.479394461347873,
      0.135002849574748,
      0.436915847810019,
      0.600940957314574,
      0.26914384641713,
      0.183822625094199,
      0.456066801594079,
      0.204171369959232,
      0.466485895013785,
      0.550912595709395,
      0.563967756087689,
      0.365998791852462,
      0.259267683239903,
      0.229652804268299,
      0.355427930193744,
      0.321532461109392,
      0.263889467993737,
      0.354240247434924,
      0.271782674435204,
      0.281248119553945,
      0.500752521770078,
      0.532409359521756,
      0.45470008039039,
      0.44860890090593,
      0.140197347731263,
      0.48738304588714,
      0.560439159444104,
      0.224685525166604,
      0.131549921346716,
      0.228306770293086,
      0.163805267668331,
      0.129506154492068,
      0.11117878672363,
      0.250210383041197,
      0.363213165496788,
      0.254183303047136,
      0.370215018559673,
      0.753528042115297,
      0.553109370900107,
      0.424132349125465,
      0.353156840810232,
      0.227334513159875,
      0.36931663999353,
      0.520061061540147,
      0.210011783868852,
      0.177785840634798,
      0.470280462821033,
      0.212982164635783,
      0.51045816090476,
      0.497057114801765,
      0.494662949140917,
      0.166469209715232,
      0.450146288454025,
      0.283260269947257,
      0.226446519085501,
      0.147285739584,
      0.172823445212589,
      0.401429131578224,
      0.209066764119739,
      0.444027422876498,
      0.749141283990534,
      0.569453218181429,
      0.339356702378839,
      0.368791487852627,
      0.229424475254086,
      0.404970522994638,
      0.518788967506387,
      0.199175395921552,
      0.186219281140365,
      0.414944570495327,
      0.23707115178659,
      0.515716809812937,
      0.483910545832708,
      0.490001959273801,
      0.137647740434254,
      0.481423966628934,
      0.251583192919186,
      0.27881956998455,
      0.124033046732604,
      0.17254792430778,
      0.391923728876487,
      0.117260266051025,
      0.340894481033328,
      0.291430454574474,
      0.172727268035735,
      0.13316252185191,
      0.354297407610077,
      0.143937218456067,
      0.370625854461422,
      0.589813112744146,
      0.403164738604245,
      0.472144404999894,
      0.367079310291883,
      0.168765080642376,
      0.541996226665299,
      0.498511262837054,
      0.169465619928751,
      0.41142119615572,
      0.388153251926252,
      0.346631530528682,
      0.536468903594703,
      0.46297252915933,
      0.458270843072625,
      0.450848946098914,
      0.105969587145095,
      0.378586400568416,
      0.325723219469025,
      0.151087920983751,
      0.143722345253863,
      0.356592990794196,
      0.12419837451458,
      0.42189227612996,
      0.574193428015838,
      0.445369730419427,
      0.462204239498612,
      0.283624985986514,
      0.206379655981075,
      0.566663200975703,
      0.445893321139539,
      0.164507061575206,
      0.454055092354604,
      0.310055146768964,
      0.400283050777442,
      0.553272312847059,
      0.434086445743179,
      0.430413823993808,
      0.453000360370336,
      0.0993711852087387,
      0.404617672135573,
      0.338239111250362,
      0.213512326696281,
      0.1334562304743,
      0.298389867196028,
      0.231421275775148,
      0.468608800557431,
      0.545975646791967,
      0.508174144837244,
      0.435858260187443,
      0.263826646417338,
      0.263666927776472,
      0.581326479557517,
      0.421059289424696,
      0.163893302984138,
      0.546628165538213,
      0.346675155280426,
      0.414820920050063,
      0.557176404687543,
      0.57078186496423,
      0.423684655657105,
      0.452883247630659,
      0.107004284866547,
      0.427158020892841,
      0.34987670677638,
      0.179848527557016,
      0.162417490527437,
      0.267773496600756,
      0.258804893483304,
      0.501764758331609,
      0.538177928473896,
      0.533655772190574,
      0.43536868511256,
      0.206676730048705,
      0.319624839289664,
      0.586560332439284,
      0.375768515716654,
      0.137107769977954,
      0.283592318890083,
      0.278259926781347,
      0.223410097434954,
      0.265273141867513,
      0.271907234210581,
      0.189526837530493,
      0.42520757284771,
      0.188582543311681,
      0.696337590910608,
      0.608390596690487,
      0.569041797110645,
      0.241942346576096,
      0.328035742346659,
      0.288380391197306,
      0.516320360886448,
      0.328949374451884,
      0.181543088635809,
      0.428459900673318,
      0.224038996382713,
      0.432778190140615,
      0.491511836044881,
      0.50903961788252,
      0.296762794546359,
      0.487897709112375,
      0.279580701292373,
      0.415320281586031,
      0.538981123678431,
      0.200293654742017,
      0.236524347792592,
      0.374878073876016,
      0.243753979002512,
      0.764978462396155,
      0.58123482639085,
      0.5284072314358,
      0.282859821010261,
      0.288905381413652,
      0.291336082422239,
      0.506321520854168,
      0.27555571771851,
      0.190716552422598,
      0.45122966499196,
      0.221928620758478,
      0.467431480541151,
      0.480355003593426,
      0.51906433265527,
      0.233992552711852,
      0.306667733795998,
      0.355301151436662,
      0.252014318056927,
      0.169278058331985,
      0.16593297558457,
      0.128924354458525,
      0.0786861093029451,
      0.0685282444200893,
      0.122403519248125,
      0.117429556876232,
      0.195156793943976,
      0.152216619203236,
      0.256934212730496,
      0.117562483024935,
      0.199852394042544,
      0.0822741203735636,
      0.112643742426387,
      0.424590757814118,
      0.305461520536913,
      0.222142872522863,
      0.329473233197562,
      0.348389919052596,
      0.265959126925565,
      0.489666593029282,
      0.424733034654559,
      0.208704536720341,
      0.282389789780077,
      0.461498630667962,
      0.429787491289443,
      0.244225011959088,
      0.336679098878574,
      0.359878604980111,
      0.353450875317587,
      0.131150956217471,
      0.296812192924755,
      0.166627593463948,
      0.325036348094324,
      0.52095952005588,
      0.409318998464081,
      0.481638111557392,
      0.417089513048658,
      0.121649141483592,
      0.493727461186959,
      0.61710106203321,
      0.216843917239745,
      0.224293926056227,
      0.400147742112598,
      0.211194674090168,
      0.506605597848356,
      0.513667448853911,
      0.441125141737319,
      0.413024365431037,
      0.210200824322625,
      0.426754382706434,
      0.717714362017934,
      0.565304311481908,
      0.354108048781188,
      0.369404053357364,
      0.232158869272601,
      0.393693831654428,
      0.493844366537941,
      0.190615242556521,
      0.190988142481759,
      0.395717099365327,
      0.234329310286527,
      0.592775816292291,
      0.494941439227132,
      0.47544070720515,
      0.335995344615313,
      0.404133890510985,
      0.302089789241895,
      0.451773755179047,
      0.423183166224827,
      0.190056021648033,
      0.437543383691149,
      0.184864777498559,
      0.492529421438928,
      0.734077348535748,
      0.616903566496347,
      0.277627232528518,
      0.383959046114114,
      0.234366835487841,
      0.43638295775913,
      0.474914949846611,
      0.185099605223275,
      0.222232908319925,
      0.420175918601989,
      0.262146469564314,
      0.533607930466707,
      0.491352283934683,
      0.446967432273663,
      0.132416158042328,
      0.453323977869875,
      0.221026513274123,
      0.27648651181736,
      0.110823870112992,
      0.172603983412348,
      0.124120940907406,
      0.300385921051461,
      0.430778500630347,
      0.313089460108866,
      0.369039374891087,
      0.369477987835617,
      0.238550445438995,
      0.381834239772884,
      0.279660891876641,
      0.300161433138652,
      0.415428106766374,
      0.371556623188722,
      0.294882929975665,
      0.352924258180215,
      0.260664731827134,
      0.258882067467003,
      0.316060538890655,
      0.245046387943718,
      0.188044615273096,
      0.280407918942531,
      0.164730015803265,
      0.239500326268049,
      0.308624190296033,
      0.246965552174886,
      0.377318705036046,
      0.429599825497756,
      0.424685521274909,
      0.471390812518055,
      0.718497972026028,
      0.976435728378479,
      0.938778640678434,
      0.417392663746692,
      0.263581545850106,
      0.243131297371756,
      0.258595667933234,
      0.221793224868382,
      0.277476144290781,
      0.264875786400684,
      0.245009390496374,
      0.271706290091194,
      0.32266479964145,
      0.551379831925235,
      0.619694761224649,
      0.448047238903494,
      0.551596238519889,
      0.534425836394295,
      0.452983937757436,
      0.545355750793011,
      0.616325587744063,
      0.478627266268015,
      0.462519733115755,
      0.592221745894273,
      0.547676501361869,
      0.510476457846752,
      0.411436260338649,
      0.220366816848547,
      0.475430506682534,
      0.579866216514063,
      0.257760087116865,
      0.20225983145329,
      0.420183967837245,
      0.323517961916222,
      0.563414462160122,
      0.596791369030393,
      0.601116393996059,
      0.483136119038869,
      0.162034084301398,
      0.352000276252998,
      0.585700307216292,
      0.399469052386859,
      0.129131192433181,
      0.540899318298832,
      0.221664195122542,
      0.452214791816853,
      0.620873912673318,
      0.589532764504386,
      0.387519966959271,
      0.351213372709418,
      0.254571089707872,
      0.413562308461549,
      0.440148740827952,
      0.27208436607463,
      0.251264384470655,
      0.402625623277478,
      0.326249188285644,
      0.552048674443619,
      0.608302595247964,
      0.587695177183515,
      0.462720041640675,
      0.107076420384118,
      0.429462455943028,
      0.555267077943918,
      0.359897201716677,
      0.140454230644889,
      0.520403826856348,
      0.204547402908347,
      0.512022549570703,
      0.61587898370617,
      0.574759103439544,
      0.341368350212802,
      0.313241528832154,
      0.244341950888872,
      0.347071646299848,
      0.409338556939915,
      0.265901275934533,
      0.292355870281652,
      0.418352113076306,
      0.339634213294982,
      0.539712528137888,
      0.545092938294027,
      0.488417424862569,
      0.519442888313148,
      0.198202663146863,
      0.503308503247046,
      0.578741059015503,
      0.234678046257126,
      0.18359434743782,
      0.466915963736191,
      0.270558341513765,
      0.557338686738895,
      0.635856306184386,
      0.536222486669902,
      0.332494207683856,
      0.262843471516418,
      0.301368938974079,
      0.328032178331183,
      0.401230475204581,
      0.25112748478993,
      0.366206592977407,
      0.406430817888946,
      0.359328007620375,
      0.513469388158776,
      0.534795937496571,
      0.471268293158728,
      0.50754878634998,
      0.160152465204983,
      0.553708315024185,
      0.525737517406977,
      0.21627200455402,
      0.118025467547979,
      0.244898236821564,
      0.221856354291393,
      0.211760804159909,
      0.135932317202123,
      0.227078478989774,
      0.340390674176103,
      0.269339442637637,
      0.402068149187462,
      0.781259509358988,
      0.413274285260884,
      0.409787620963521,
      0.401347538080378,
      0.359434267214626,
      0.400903207146731,
      0.409563927877258,
      0.237985587554453,
      0.241366205094873,
      0.465642575583529,
      0.217960867832826,
      0.465382703847421,
      0.438374543519838,
      0.456423362713596,
      0.142450843638153,
      0.41554523487843,
      0.248012687653744,
      0.237521171264219,
      0.144143069201634,
      0.138143860633152,
      0.371788831437133,
      0.242367271574647,
      0.417883823209293,
      0.780513066278591,
      0.422735521780331,
      0.344550765303863,
      0.425355027773427,
      0.351224530884647,
      0.408874641498818,
      0.400592709448995,
      0.263342071280776,
      0.236302058785452,
      0.410737801077281,
      0.206002187425429,
      0.48381430231737,
      0.445898000925429,
      0.446355519333889,
      0.128453715578608,
      0.446398521117241,
      0.220091616664478,
      0.219137834589357,
      0.117813965071104,
      0.150610838549327,
      0.395808105589161,
      0.143809368904435,
      0.38294343612113,
      0.322569191156129,
      0.248367550900616,
      0.187777557960092,
      0.449712497959153,
      0.431078559964998,
      0.699781665454169,
      0.603096097436985,
      0.497476677697872,
      0.478731341367093,
      0.378299111429058,
      0.16459222065033,
      0.646475419452421,
      0.439365099415029,
      0.183383598145564,
      0.412109417752991,
      0.436683965721136,
      0.45331280442702,
      0.74737783759414,
      0.519306920294104,
      0.40719980055971,
      0.478872885264183,
      0.141246012888105,
      0.404256281612137,
      0.369977874980002,
      0.235850939081541,
      0.187153319031054,
      0.478479091419867,
      0.405138688531926,
      0.761740469752412,
      0.588578457171467,
      0.51782186799275,
      0.479238339579013,
      0.278177079940181,
      0.207921003212269,
      0.625376296412067,
      0.403586508760328,
      0.185606406371882,
      0.456911645866136,
      0.37738587422275,
      0.548458132281107,
      0.726661361740877,
      0.473358361758004,
      0.394741372398528,
      0.437698599278637,
      0.179376373127756,
      0.370293531080681,
      0.390389415198389,
      0.315546212524621,
      0.157600182147537,
      0.40724744871051,
      0.290024142756283,
      0.524568853631143,
      0.563616052242886,
      0.550811130796552,
      0.45776259152453,
      0.251245592689676,
      0.2880694648984,
      0.659186157530291,
      0.391457453186068,
      0.164679716838077,
      0.468574529724436,
      0.244637162232001,
      0.446056202845973,
      0.618101539996844,
      0.535582249433925,
      0.36434161992538,
      0.513989893190502,
      0.196366785679758,
      0.377163893141767,
      0.403391887742655,
      0.286456070785542,
      0.179715150104214,
      0.370588308993748,
      0.310677799350155,
      0.539509107296398,
      0.569154796184448,
      0.572265690189901,
      0.459605885046664,
      0.195096864727482,
      0.346657614803392,
      0.648953328924598,
      0.334835048817099,
      0.149723102207409,
      0.24796300352363,
      0.179247214884254,
      0.214223112822094,
      0.322136562708844,
      0.20265440594935,
      0.127825313759193,
      0.441480964436463,
      0.255175314863148,
      0.677820996139019,
      0.582043738360147,
      0.501997065265781,
      0.265103684268154,
      0.439973877259123,
      0.350646150685942,
      0.423387964625683,
      0.257683743875259,
      0.280116428908278,
      0.434962508256759,
      0.228920367115536,
      0.380940434386286,
      0.436407152172534,
      0.439535680438028,
      0.27181868057202,
      0.450955850295091,
      0.234472338502787,
      0.402848860906233,
      0.494294601360349,
      0.17567307143329,
      0.177691873666653,
      0.377004701339102,
      0.304192775900715,
      0.742174073569663,
      0.511436450683399,
      0.452541289624384,
      0.309593135854568,
      0.403419332193504,
      0.370878042386184,
      0.419306757786175,
      0.234191722791719,
      0.285131605402197,
      0.432232264835816,
      0.220494664991837,
      0.431858631990239,
      0.426603209381199,
      0.468821521358077,
      0.211747689041127,
      0.302461624057079,
      0.315659402327069,
      0.197354239047423,
      0.176247812809454,
      0.146832455749314,
      0.15986195849769,
      0.121284339790911,
      0.140057799428739,
      0.217858569269938,
      0.219204965543602,
      0.311625242419603,
      0.166138277247331,
      0.28389012731032,
      0.123410788699653,
      0.32666686381892,
      0.163727830739202,
      0.181780862721419,
      0.456989885755225,
      0.279342201840901,
      0.213932606915548,
      0.318687677639591,
      0.332989442301931,
      0.251962811398756,
      0.423474799738758,
      0.402429293795536,
      0.202425491632342,
      0.249770991001409,
      0.429069365311125,
      0.347590379927786,
      0.273831841384557,
      0.350102933482924,
      0.406874574014472,
      0.410572918569594,
      0.225332415070083,
      0.364745404599291,
      0.37713800020206,
      0.409710209845531,
      0.507758448590745,
      0.493990725885573,
      0.507439162333215,
      0.422070103974954,
      0.106505383461284,
      0.574034200865236,
      0.600235349621521,
      0.194784754663954,
      0.202778966877119,
      0.353760682650742,
      0.2175590728483,
      0.542177606258647,
      0.595415027929945,
      0.420022526951719,
      0.388341784946025,
      0.237446812057336,
      0.43441154791923,
      0.775474786500681,
      0.430453000594547,
      0.357511067454812,
      0.426262784829316,
      0.350353329039969,
      0.420595136257502,
      0.384531878372817,
      0.252043512348605,
      0.239747004379274,
      0.392758249093235,
      0.210623339945584,
      0.513470029971306,
      0.449357298629666,
      0.438092419388402,
      0.302767178780694,
      0.329203582566596,
      0.285797937129866,
      0.419677438373236,
      0.38638306321433,
      0.141215345955738,
      0.40458812726149,
      0.233619936231534,
      0.457211953187796,
      0.751237756016074,
      0.448220988411315,
      0.295457388759454,
      0.471577820006764,
      0.364618124438809,
      0.411963804038167,
      0.373236559929932,
      0.283226915485383,
      0.271249515897298,
      0.392895057541443,
      0.240444108203219,
      0.510728006292211,
      0.466492557983822,
      0.409169929993474,
      0.129315375409646,
      0.402531799228961,
      0.204978658413601,
      0.233044736891214,
      0.113898847578272,
      0.15487052150438,
      0.108836748691708,
      0.331728040793305,
      0.420871752766492,
      0.250465750622131,
      0.323940552355963,
      0.360042620460668,
      0.254196925053637,
      0.391684834532567,
      0.264916353542355,
      0.277324791470962,
      0.594703105308314,
      0.975951864216765,
      0.385892643675992,
      0.280665093931026,
      0.243781536612811,
      0.27337700456575,
      0.325458459335993,
      0.218333353308438,
      0.124768671456238,
      0.25741991870605,
      0.169641358990584,
      0.202554395325826,
      0.276495191777363,
      0.270965541758274,
      0.467760068963342,
      0.582002663109853,
      0.631836585195337,
      0.443665853729936,
      0.618491310619142,
      0.991494453723364,
      0.751076839698185,
      0.95276262198534,
      0.999317796256558,
      1,
      0.997670067588423,
      1,
      1,
      1,
      1,
      1,
      0.80364744849593,
      0.797523238742063,
      0.864384951975592,
      0.740698141798764,
      0.679223656438238,
      0.79685082203787,
      0.743687424423514,
      0.696650280973988,
      0.781381804553583,
      0.706137248903668,
      0.726002748235999,
      0.699117386713833,
      0.80946804070273,
      0.568350417545991,
      0.940331702152126,
      1,
      0.943558252335391,
      1,
      0.998842273075437,
      1,
      0.979849533266115,
      1,
      0.929108013866257,
      0.87153480331418,
      0.850667685003895,
      0.563200473191617,
      0.402784405482132,
      0.432952496474331,
      0.664382536481918,
      0.71667608566254,
      0.246185960330793,
      0.60588392525369,
      0.357382116025613,
      0.498848244358165,
      0.7441183222686,
      0.633144147800792,
      0.394688935376459,
      0.907270765137236,
      1,
      0.969469468413823,
      1,
      0.994955941487527,
      1,
      0.98252691351131,
      1,
      0.922334592506544,
      0.875261941819312,
      0.816361283488013,
      0.570241499855049,
      0.32636301751423,
      0.487499253110462,
      0.680439617112869,
      0.638531712424193,
      0.263361325887374,
      0.602813480978542,
      0.357274213851729,
      0.537402347017128,
      0.752072222904002,
      0.606363326459667,
      0.347113559019123,
      0.913955589107909,
      1,
      0.989115189097117,
      1,
      1,
      1,
      0.999539061882585,
      1,
      0.944894183239789,
      0.962653968734482,
      0.656487325115212,
      0.588305224838543,
      0.348137370542242,
      0.517982877451364,
      0.732169207412049,
      0.54949273123703,
      0.261334771870983,
      0.574140966914972,
      0.339177726815758,
      0.657090099662441,
      0.800626206987864,
      0.591848484643071,
      0.329455604025904,
      0.956004172008842,
      1,
      0.984532448711545,
      0.999484949271561,
      1,
      1,
      0.999975272134967,
      1,
      0.94349575587673,
      0.965911279596965,
      0.583382919141491,
      0.610427912009881,
      0.304546324398084,
      0.563558696647727,
      0.71276237767501,
      0.483569658775587,
      0.19453320235905,
      0.393096607729871,
      0.294148514229556,
      0.494204184587568,
      0.513373227154461,
      0.331315843493337,
      0.345797387770114,
      1,
      0.998070175498652,
      0.988631996657917,
      1,
      0.990922645818985,
      1,
      1,
      1,
      1,
      1,
      0.391756920662334,
      0.485565866375299,
      0.300956783494935,
      0.493149965090017,
      0.487422992405377,
      0.512827927130675,
      0.23174596727641,
      0.477596755531505,
      0.245157452702878,
      0.308517081917962,
      0.273650874286753,
      0.233782417952415,
      0.476498459826419,
      1,
      1,
      0.984528240516969,
      0.996430007220694,
      0.988324252862684,
      1,
      1,
      1,
      1,
      0.983115065062509,
      0.353267246309514,
      0.43581350216824,
      0.308534794454373,
      0.493402821702229,
      0.484598139147876,
      0.476682605967495,
      0.228257680646714,
      0.509434589855828,
      0.233354380487269,
      0.325340738964256,
      0.269764209954887,
      0.227503996341958,
      0.555653502601913,
      1,
      0.972053257132546,
      1,
      0.941181013553061,
      1,
      1,
      1,
      0.93378962514314,
      0.910450727862783,
      1,
      0.609871915541601,
      0.73097640263708,
      0.387312288228118,
      0.648986188843515,
      0.761013817150712,
      0.643310538586737,
      0.5503399692956,
      0.609069411558678,
      0.451784669451403,
      0.696542194009216,
      0.52935090388407,
      0.614096895542816,
      0.697894610107883,
      1,
      0.975955512876117,
      1,
      0.946184053976238,
      1,
      1,
      1,
      0.891545306980412,
      0.943742684885746,
      0.992530357725838,
      0.584921533299651,
      0.688466954367555,
      0.437287253815127,
      0.65190286211161,
      0.778230037183751,
      0.568935588222455,
      0.594921353017209,
      0.54188160394349,
      0.520181008589482,
      0.694737890283184,
      0.493202045509502,
      0.582703324098697,
      0.797449178953202,
      1,
      0.968312234372083,
      1,
      1,
      1,
      0.930133769616099,
      1,
      0.91374097314295,
      0.92161235961663,
      0.889346558149347,
      0.544033832605433,
      0.403247255026385,
      0.351009452330726,
      0.784110416272464,
      0.687938678923454,
      0.260024178015817,
      0.542468849061213,
      0.524955664232687,
      0.452686144321403,
      0.796913493143509,
      0.539536109493762,
      0.377542632794664,
      0.867049017253924,
      1,
      0.973104910332439,
      1,
      1,
      1,
      0.906670624883318,
      1,
      0.921843917807554,
      0.911540549967306,
      0.852886076685387,
      0.555875252158345,
      0.336712557443279,
      0.385649063708156,
      0.771592336406862,
      0.652272300786947,
      0.231650774428415,
      0.372451004178825,
      0.46118785672742,
      0.335449842572435,
      0.67783995919615,
      0.301974384572587,
      0.168077340244451,
      0.89023178487124,
      1,
      0.995225106868041,
      0.993414915585509,
      0.990422125909461,
      1,
      1,
      1,
      1,
      1,
      0.643081459693598,
      0.488922543928591,
      0.301503701802742,
      0.445102549870762,
      0.487183663164977,
      0.500111608238515,
      0.369829154555687,
      0.502680361956501,
      0.292224180955955,
      0.426993777839357,
      0.58076426712918,
      0.325977034081735,
      0.23447503594184,
      0.937966431852319,
      1,
      0.990022315404327,
      0.999624935181068,
      0.985796621143331,
      1,
      1,
      1,
      1,
      1,
      0.569800971750333,
      0.480434681037858,
      0.297779913405498,
      0.488452067746329,
      0.473603816859158,
      0.515943015081678,
      0.302889952431103,
      0.366852752617457,
      0.31484112391826,
      0.267598504976737,
      0.291819429071226,
      0.273720949343034,
      0.305476275920857,
      1,
      1,
      1,
      1,
      0.998105181730223,
      1,
      0.993260092288078,
      1,
      1,
      1,
      0.520604837778435,
      0.46147383080563,
      0.329858754257261,
      0.312708892746147,
      0.345620264024935,
      0.40955513230898,
      0.327030290577911,
      0.464835020729321,
      0.43116678869552,
      0.312512569518469,
      0.320292173507897,
      0.498862813286628,
      0.384820042775905,
      0.996936850417419,
      0.994159684660484,
      0.996761236173972,
      1,
      1,
      1,
      1,
      0.999586390269003,
      0.904894211057772,
      0.892267695205369,
      0.613325216646214,
      0.469700777134511,
      0.227766668170872,
      0.590697225292603,
      0.709304353453859,
      0.300222900973974,
      0.279973657749382,
      0.598656267209685,
      0.392704965289537,
      0.584397257019501,
      0.60514281614288,
      0.444018728386294,
      0.461959519537887,
      1,
      1,
      0.979999610212443,
      0.998629634253333,
      0.986427928985481,
      1,
      1,
      1,
      1,
      0.981152221716612,
      0.340994350541525,
      0.421652154797549,
      0.297880016279553,
      0.551458322685437,
      0.488267636168884,
      0.491201560227421,
      0.391226032117862,
      0.421071431153288,
      0.277132708091612,
      0.489872683499257,
      0.537299861214001,
      0.234302171797619,
      0.557942797984149,
      1,
      1,
      0.991039393296947,
      0.985578777332994,
      1,
      1,
      1,
      1,
      1,
      0.948338169326867,
      0.349166543228057,
      0.439595872751838,
      0.32772798208552,
      0.524886183460802,
      0.506612422628358,
      0.464599076222522,
      0.234912954815612,
      0.459451908050758,
      0.220935468685817,
      0.34173146679258,
      0.258418937029809,
      0.221065141049289,
      0.313148311808143,
      0.977053789173295,
      0.972890365584469,
      0.975589596433814,
      0.954975203386957,
      1,
      0.996762136346791,
      0.929800657881584,
      0.987216894573602,
      0.993728635901124,
      0.818149622384453,
      0.599941013596147,
      0.423092445466544,
      0.383982490815732,
      0.338078164233486,
      0.334638512059764,
      0.347596626515158,
      0.294555914231544,
      0.233877245078744,
      0.318086174479383,
      0.25097320041448,
      0.256779209711758,
      0.299879090261376,
      0.321560113146278,
      0.570494291612039,
      0.527789461035086,
      0.612436293897899,
      0.565589880034705,
      0.86080434108508,
      0.952198775934925,
      0.630294468184509,
      0.745632250823527,
      0.649361074164949,
      0.651214448277879,
      0.710366934870248,
      0.680963071412862,
      0.632962626229796,
      0.650486030004496,
      0.579193690270284,
      0.624218647137064,
      0.56464176101161,
      0.610978471936039,
      0.760781571029963,
      0.532315371887743,
      0.594187580268416,
      0.631815760530914,
      0.560300502043763,
      0.599556470951502,
      0.623139513310537,
      0.550015130578213,
      0.545558197509342,
      0.603763114390109,
      0.640747781982854,
      0.462430926686011,
      0.582073384208517,
      0.286096939651829,
      0.508847940050434,
      0.399540110899141,
      0.301613060060038,
      0.268362298632961,
      0.705390271831977,
      0.382771729351011,
      0.591726454921278,
      0.810937493898351,
      0.528566591139537,
      0.600504717557173,
      0.527429002085401,
      0.381746077063989,
      0.740457253279286,
      0.591627203707972,
      0.170972132549536,
      0.579188974043849,
      0.785216054108319,
      0.677726764670595,
      0.578717517093128,
      0.449851086403005,
      0.342081011958202,
      0.569237726772639,
      0.313259347142938,
      0.472228475601781,
      0.384401040271241,
      0.301509912998104,
      0.313829298176523,
      0.659645423457704,
      0.415806166703755,
      0.584493873505209,
      0.779478161400836,
      0.550939557653296,
      0.568020816051188,
      0.453264534880592,
      0.432801072094099,
      0.717337416459313,
      0.547781403202946,
      0.171957791524942,
      0.656614139995297,
      0.71165652882208,
      0.700806641935498,
      0.591354271295648,
      0.440664121910642,
      0.313896494347324,
      0.602545101926258,
      0.416971629434761,
      0.4662194663446,
      0.652456178121489,
      0.372223350030457,
      0.31635737423544,
      0.541959489306889,
      0.407073661556566,
      0.737077023737626,
      0.569609163297217,
      0.469381450314762,
      0.566101564935843,
      0.456612180352592,
      0.469769976275963,
      0.806585580741426,
      0.373315915550857,
      0.217644160275374,
      0.658261863821139,
      0.364596649423528,
      0.695175925029885,
      0.590157984910683,
      0.490764190049408,
      0.316341053508563,
      0.577574167017489,
      0.473212346162762,
      0.445816041617938,
      0.652672702483096,
      0.320311523716242,
      0.352599926856025,
      0.512434836240062,
      0.436846086905479,
      0.752680746655351,
      0.526206309534738,
      0.446191633477485,
      0.540755549685514,
      0.437947441533707,
      0.539804523231576,
      0.738769248997716,
      0.327819049489049,
      0.166387485912039,
      0.508872435441586,
      0.355299540504378,
      0.533399358995419,
      0.361068397248267,
      0.225210486878426,
      0.306669521744517,
      0.308532868776362,
      0.459496940559843,
      0.646550564239961,
      0.644668642351947,
      0.454221156905196,
      0.39751938371701,
      0.376420452431333,
      0.439409170850855,
      0.696784728199165,
      0.376378731907865,
      0.240513151510914,
      0.463148121424845,
      0.254715560718904,
      0.491487520181306,
      0.484361235509058,
      0.469280356385402,
      0.22052046120589,
      0.421505105337088,
      0.20632332381799,
      0.243810196665498,
      0.234649786838448,
      0.208674259219687,
      0.39939629879593,
      0.269604433217771,
      0.520819097525884,
      0.636915830812912,
      0.698482291104509,
      0.410860744514552,
      0.427897237345774,
      0.368390217641075,
      0.444336268936103,
      0.728655379960196,
      0.350475471802196,
      0.243134244725624,
      0.431227116440285,
      0.263978281428617,
      0.487870513372499,
      0.4694848929655,
      0.435301055876722,
      0.221462527412785,
      0.440419395652675,
      0.19359237673567,
      0.247219842938158,
      0.238689320413172,
      0.186182318171948,
      0.518158885410542,
      0.454849583331217,
      0.474773487747462,
      0.515115868527149,
      0.558348985709983,
      0.254885303812708,
      0.430760150065764,
      0.298463262050705,
      0.416781932269266,
      0.676974151076423,
      0.623466135783744,
      0.637574509810369,
      0.758528062480012,
      0.381291098856816,
      0.58459190475935,
      0.794422421491259,
      0.388818587390297,
      0.40667159917084,
      0.339460323751427,
      0.314248027820953,
      0.630503257853033,
      0.47823873262571,
      0.61662068198649,
      0.545023822522989,
      0.414504042560538,
      0.527236057535909,
      0.502635430390693,
      0.550265411668233,
      0.217028176717102,
      0.473799581045385,
      0.27681467761665,
      0.43291379986562,
      0.709765374584306,
      0.634684848204407,
      0.639521143304013,
      0.702372425173794,
      0.37189590393661,
      0.627353630021486,
      0.727771276677363,
      0.36010656340606,
      0.422518811483363,
      0.301080714865531,
      0.356032980971831,
      0.63046353504491,
      0.48248283937476,
      0.567551887547742,
      0.697103821820525,
      0.485272164717587,
      0.662476412640079,
      0.490568669513205,
      0.394631475904116,
      0.201740875229928,
      0.809365847239982,
      0.509616149800602,
      0.652960644494872,
      0.755290546467746,
      0.583019525559897,
      0.503163800216475,
      0.503962712973192,
      0.345656827083939,
      0.64045050182567,
      0.618051406835165,
      0.192167914100565,
      0.439080934298077,
      0.580714302409591,
      0.550515961602384,
      0.652708684219134,
      0.454256713843064,
      0.33311894061036,
      0.581581571605503,
      0.492500202014364,
      0.615368053710983,
      0.501542182902833,
      0.365003638492831,
      0.221290770419884,
      0.851542214954988,
      0.471904725018897,
      0.694697316876852,
      0.730582239049357,
      0.584750097623258,
      0.509022248760931,
      0.458684625492775,
      0.340608626477508,
      0.634497103365725,
      0.581273408443836,
      0.175691397256176,
      0.236803296385932,
      0.551215497238367,
      0.452969646168392,
      0.507551644633921,
      0.232165924094891,
      0.148693794761985,
      0.462426928862817,
      0.324559474480505,
      0.621870583103607,
      0.657355938836628,
      0.56590335854048,
      0.326508202931791,
      0.450055349190491,
      0.33505934637138,
      0.633943021787895,
      0.53834995617411,
      0.269978075233893,
      0.450226189271585,
      0.24710970740403,
      0.465249470716369,
      0.430718429997797,
      0.47811562531179,
      0.329560365638664,
      0.448336871157541,
      0.211497536354474,
      0.377096350854078,
      0.553253203019725,
      0.301414181544117,
      0.212863280909916,
      0.421927766074409,
      0.369852328405334,
      0.654279360595794,
      0.643778747673715,
      0.541823515162529,
      0.354437835253071,
      0.41465681915032,
      0.373349286249366,
      0.653778488442005,
      0.477471219407717,
      0.273928611948278,
      0.441485997930389,
      0.248785045122552,
      0.492536353889313,
      0.430370287586862,
      0.503209011442859,
      0.268636413700513,
      0.319745025182883,
      0.266199898878774,
      0.209784690440965,
      0.217579167640829,
      0.22467531076432,
      0.222862220771765,
      0.201577700580282,
      0.205319026863981,
      0.288436928097686,
      0.217160535968658,
      0.312952942147792,
      0.166806975059052,
      0.298712263221398,
      0.15729601594355,
      0.325713261416324,
      0.142865737075645,
      0.201261394266337,
      0.422879990982331,
      0.277486979175502,
      0.275900004294609,
      0.318526672587354,
      0.377237566701603,
      0.272086653696897,
      0.404827050555017,
      0.403986114493557,
      0.245764572297718,
      0.2989037867923,
      0.555393784419272,
      0.451857817943108,
      0.417087801019162,
      0.487658933738047,
      0.383889251908623,
      0.389115080447411,
      0.266457657776312,
      0.324144673367877,
      0.319214818059483,
      0.401589278201653,
      0.654547042567257,
      0.514491027504477,
      0.493349460149086,
      0.550717745852031,
      0.382151032768082,
      0.508720950451334,
      0.610221308929476,
      0.214384298912859,
      0.221623159036387,
      0.372377488844784,
      0.195742710910985,
      0.498348096045848,
      0.461263411297287,
      0.400667705760398,
      0.384957605941482,
      0.28046147999826,
      0.515288367249052,
      0.625440101524929,
      0.68732454498135,
      0.41579738510499,
      0.425150262194893,
      0.362982749639355,
      0.454890959068619,
      0.723341735151144,
      0.343324565937634,
      0.228755108534534,
      0.407305203675515,
      0.267745650400095,
      0.542828274492258,
      0.477919776610227,
      0.449823327469745,
      0.360119318360849,
      0.31087855042792,
      0.242938308556918,
      0.43699510987927,
      0.512244516038135,
      0.202704339849707,
      0.419570198633221,
      0.259107483911768,
      0.573009462851631,
      0.589694089193327,
      0.727717850407169,
      0.361603168566976,
      0.450282357188349,
      0.346703781048105,
      0.495517401862807,
      0.695165845995287,
      0.32643365541676,
      0.267466906450686,
      0.427072816013227,
      0.299697325885856,
      0.502902644783197,
      0.474211540013386,
      0.427781340725969,
      0.222786458140062,
      0.397024536884247,
      0.185548656640932,
      0.243103179295369,
      0.231846559324433,
      0.173210756117824,
      0.233298368914273,
      0.612705295650752,
      0.687500742370874,
      0.626873604194052,
      0.58779298331244,
      0.648226745609039,
      0.579530775839507,
      0.615445171648704,
      0.613941924876395,
      0.668977601640031,
      0.536929660514371,
      0.410078331553354,
      0.352644147955396,
      0.290200356000804,
      0.280029220041442,
      0.286449735641886,
      0.322275250453504,
      0.295223743350899,
      0.218354390174795,
      0.265744319846628,
      0.217530299568731,
      0.281496077163081,
      0.307703208177023,
      0.358431703930745,
      0.475921632568379,
      0.488459871349278,
      0.617741852213939,
      0.940836446434363,
      0.790428406614618,
      0.912872908928848,
      0.511114292193028,
      0.418767262122621,
      0.270900805857344,
      0.249310399482069,
      0.323512598549668,
      0.25240686570438,
      0.239051989330908,
      0.258289658883979,
      0.19967273220998,
      0.253161476609992,
      0.573635024112647,
      0.934216169196709,
      0.764641047939155,
      0.439438911484632,
      0.525601848359933,
      0.530786890523316,
      0.446537248760022,
      0.536949096855694,
      0.569559062959915,
      0.467798163639691,
      0.447794887609868,
      0.562395034275616,
      0.55133523871405,
      0.475305463510461,
      0.43574557299862,
      0.122177462293434,
      0.448069722920429,
      0.340268609265038,
      0.142414592753774,
      0.196603947447454,
      0.303564249236775,
      0.168313415249587,
      0.522287114608967,
      0.591908036285776,
      0.45568851801873,
      0.46769165564853,
      0.187093823288481,
      0.35481067500475,
      0.55440387312551,
      0.278035379698989,
      0.105102020193736,
      0.391534558778143,
      0.224187055141366,
      0.414503083635605,
      0.571504878193947,
      0.434552596290608,
      0.375516377090487,
      0.358654508482229,
      0.150785131088462,
      0.396903963229989,
      0.301675265131406,
      0.136150508513078,
      0.235349798033591,
      0.237966420741206,
      0.202643352416436,
      0.522875131158143,
      0.573934859089549,
      0.469667447582972,
      0.445055608185233,
      0.177742719901207,
      0.378909834327644,
      0.54111677081296,
      0.246071246425407,
      0.11559950074721,
      0.40022661660845,
      0.193607664439149,
      0.458227131833708,
      0.576608436964941,
      0.42443890153393,
      0.334159978302847,
      0.438512079795172,
      0.221337090509075,
      0.391373254381923,
      0.289130980509386,
      0.149222623828359,
      0.248037241650705,
      0.277506225032197,
      0.278063382490674,
      0.596347265242011,
      0.502500063845837,
      0.451349024152735,
      0.433417537535271,
      0.266540406760653,
      0.456488211621908,
      0.601798874242994,
      0.226431693149659,
      0.227779921736891,
      0.426847784657101,
      0.210933209137476,
      0.523917576229937,
      0.590173434597022,
      0.466918448422122,
      0.349044583347139,
      0.375002896459075,
      0.286988937235308,
      0.34401490242682,
      0.27514422696748,
      0.151249396285521,
      0.285199931711324,
      0.251673356981514,
      0.328307292675199,
      0.59395015252997,
      0.475328591163897,
      0.446487889395743,
      0.399386517934192,
      0.259874325952434,
      0.534837776170936,
      0.544947412400988,
      0.191168441209683,
      0.192904246613305,
      0.231203421797712,
      0.191536074112994,
      0.137741939420325,
      0.167048421432069,
      0.179834543423751,
      0.304339748077281,
      0.201482841427353,
      0.265468012241191,
      0.522537300362269,
      0.428654243908834,
      0.340085307480088,
      0.309101633285486,
      0.147885827103662,
      0.382416177206908,
      0.496746394120607,
      0.257566547800348,
      0.208028598900187,
      0.4147503280332,
      0.156488583054778,
      0.375036645196636,
      0.398622565318781,
      0.383640792939172,
      0.150524399271838,
      0.400614662227446,
      0.220963676869311,
      0.193213618099761,
      0.132496207896742,
      0.139057257110539,
      0.371013504593833,
      0.152568116484346,
      0.316442474828843,
      0.504763390145507,
      0.456148185994884,
      0.28069376019817,
      0.335946566141782,
      0.164164343067164,
      0.386082377125457,
      0.525327754523954,
      0.255248391175353,
      0.205917965422879,
      0.372125205578158,
      0.147599705810505,
      0.390029516411966,
      0.376010578169611,
      0.348306972552901,
      0.14732842229836,
      0.428782543763265,
      0.208079100265817,
      0.187252004331998,
      0.136110585726309,
      0.13605943310701,
      0.377902781845264,
      0.128875796482781,
      0.362611402528233,
      0.267143206368384,
      0.185866644921841,
      0.0862008725231985,
      0.320883160428819,
      0.125991958324467,
      0.391016432818596,
      0.555807987056484,
      0.418752667705647,
      0.437449954596763,
      0.361483799450063,
      0.212265855597564,
      0.585308708467873,
      0.438074627103118,
      0.154293099307672,
      0.330404467881056,
      0.251344412668971,
      0.311405636714444,
      0.53663253052309,
      0.503193221997488,
      0.433166808718142,
      0.395915666432684,
      0.12647239684446,
      0.385931095669452,
      0.282132628728592,
      0.165103757312111,
      0.0923880344302623,
      0.324999849270061,
      0.119159136634389,
      0.423218892520554,
      0.573802844465315,
      0.428523734768,
      0.441889891281497,
      0.287152002886305,
      0.262175916918377,
      0.577858803119032,
      0.40914628183167,
      0.145979769909598,
      0.347200246750703,
      0.212211942422929,
      0.343579454602644,
      0.536023829940608,
      0.494059136044192,
      0.392614382845437,
      0.437508778791374,
      0.188203458318948,
      0.514968555906617,
      0.348091281705578,
      0.177206673014398,
      0.134107940029446,
      0.325207234491012,
      0.16050666922319,
      0.546491587246065,
      0.614796269824423,
      0.486738332520141,
      0.46520591890982,
      0.347210585415141,
      0.394178167196039,
      0.54981284831787,
      0.443450810841295,
      0.132573575716256,
      0.37342351836836,
      0.281534321634287,
      0.401265836309423,
      0.61076307183919,
      0.428229684545364,
      0.362424614317578,
      0.421737684982867,
      0.182335035152938,
      0.504900337187609,
      0.335838053760997,
      0.158422168984272,
      0.164733777500053,
      0.297083344749845,
      0.185168072131315,
      0.580145857127849,
      0.60005341480503,
      0.505819372201537,
      0.461617713351123,
      0.306563964801948,
      0.402738021089049,
      0.540190462214183,
      0.387754221864875,
      0.121048961705607,
      0.143615361285976,
      0.265163115042814,
      0.111492157675101,
      0.283031635289673,
      0.118699929838369,
      0.127616894631027,
      0.368203855776428,
      0.133172902015222,
      0.490111010104736,
      0.483499999266376,
      0.424619599025702,
      0.227400438142007,
      0.236043994299783,
      0.255935627435719,
      0.457410865517157,
      0.408678119156458,
      0.199490978346367,
      0.401853215045582,
      0.173645903050407,
      0.322300203788622,
      0.37165570758079,
      0.38798734079412,
      0.241292516676567,
      0.380969004131839,
      0.194875215454693,
      0.387578336376454,
      0.511842475809915,
      0.17922343838854,
      0.19938889948772,
      0.330294255534091,
      0.170653104747574,
      0.523544370419577,
      0.447357986508196,
      0.392031207319774,
      0.27029858665755,
      0.194303624785891,
      0.306739254354565,
      0.466476895767987,
      0.357901597996597,
      0.206555255266697,
      0.39243293822787,
      0.16401384012823,
      0.338705428557387,
      0.375709238724343,
      0.410275868118773,
      0.192460373391309,
      0.292284768403343,
      0.291740948459071,
      0.173143184410155,
      0.158659135490161,
      0.142877383277842,
      0.117582136288269,
      0.0675697904077357,
      0.0835719627865779,
      0.135274427852601,
      0.111103946166818,
      0.133319924308679,
      0.176168054758112,
      0.379337208003809,
      0.149208823392073,
      0.192919651010002,
      0.152522003035295,
      0.197962193981088,
      0.413838101924734,
      0.27393674426651,
      0.349961623378643,
      0.334425083327692,
      0.317620879320312,
      0.204589517751119,
      0.390599008849797,
      0.39147884836682,
      0.206014269776741,
      0.256278297742553,
      0.381302048620098,
      0.370048255171043,
      0.324608987771868,
      0.330859696499643,
      0.322529994123928,
      0.280268347622275,
      0.120363811015833,
      0.260264972708596,
      0.140204275387485,
      0.345062694592743,
      0.577495992135876,
      0.543958380697488,
      0.497210077429947,
      0.470071570500836,
      0.177670441011647,
      0.51275366814759,
      0.505071600156714,
      0.220832341836825,
      0.191857939712254,
      0.297144997403078,
      0.167100682629287,
      0.521455461748082,
      0.538809050671461,
      0.44478875120253,
      0.378845281127813,
      0.160789440418079,
      0.307369863770608,
      0.503411217914939,
      0.460472683412669,
      0.281250214649031,
      0.323847304203867,
      0.158653845766782,
      0.387031443300453,
      0.519157289262577,
      0.241728517219905,
      0.212145932844077,
      0.359388946559759,
      0.155085782483908,
      0.440863193993589,
      0.388140459270232,
      0.367004948588863,
      0.286876472735096,
      0.252372312818483,
      0.271118744703924,
      0.412165528013043,
      0.410627787474647,
      0.136886893126151,
      0.382406898277198,
      0.134958559558153,
      0.363282840968299,
      0.477456965388894,
      0.496421683464099,
      0.241012369014223,
      0.330617911258586,
      0.174274984648221,
      0.391992424772176,
      0.497831566373588,
      0.246136006349301,
      0.236945169799773,
      0.362480224258284,
      0.171572903565507,
      0.413771965032393,
      0.381808135068919,
      0.341918544916644,
      0.152782484201631,
      0.390143676062974,
      0.215017036987854,
      0.177849960259733,
      0.134953602386736,
      0.131992369749929,
      0.101543738331905,
      0.419287073057735,
      0.443705265415015,
      0.366661800685241,
      0.378641501032589,
      0.424432856817338,
      0.352375478996919,
      0.406334716489601,
      0.335700540902694,
      0.375336285248798,
      0.391212856231787,
      0.314557527106214,
      0.331465312875293,
      0.292787083833419,
      0.276249237510539,
      0.346268412195674,
      0.336439482368551,
      0.33775359394567,
      0.204946047994028,
      0.292659131715982,
      0.240010112276161,
      0.299854515534968,
      0.270693040819581,
      0.32197203545624,
      0.507291411797943,
      0.378408855946291,
      0.363593767957898,
      0.347136799917494,
      0.383688039861941,
      0.913961695759397,
      0.34237314261082,
      0.36484227602083,
      0.212615070884809,
      0.194316583521309,
      0.252689699077527,
      0.214928590782523,
      0.202916015319685,
      0.227471531045752,
      0.187673947711144,
      0.200523710755985,
      0.482620465765731,
      0.751445650685735,
      0.763523363346934,
      0.59709477471738,
      0.675447847658483,
      0.657691295995551,
      0.625965058663845,
      0.689517698802239,
      0.708416762690111,
      0.626647202791741,
      0.593077126180193,
      0.683877180218527,
      0.681495453058797,
      0.617036670776433,
      0.484415862685679,
      0.131388290478363,
      0.482342611957001,
      0.424801602900475,
      0.246665576842387,
      0.207823946008698,
      0.326233488736395,
      0.156636964607316,
      0.524100419637596,
      0.588763917918279,
      0.560817476568464,
      0.491413883429418,
      0.205465304106488,
      0.395797578753879,
      0.607914126202972,
      0.435869438214108,
      0.149588162001493,
      0.478679177202676,
      0.212931432385847,
      0.431485322668076,
      0.626082588023295,
      0.464094443905383,
      0.43656616891774,
      0.394325377738939,
      0.164573982230935,
      0.456378797556763,
      0.371193316503938,
      0.24423662288922,
      0.252446985734587,
      0.266684330836211,
      0.197908253033616,
      0.521129465739771,
      0.562088404684485,
      0.584795854367177,
      0.467111601100347,
      0.179125216713897,
      0.432922600787897,
      0.61500755639471,
      0.396058440400536,
      0.151079950873466,
      0.469838612219559,
      0.197393571813957,
      0.48026875487559,
      0.630609517465428,
      0.45703384678327,
      0.405767377669429,
      0.392122752393155,
      0.201545490910346,
      0.459543436655378,
      0.343381735302342,
      0.138192654050841,
      0.314508064275876,
      0.262900671227597,
      0.265426401201266,
      0.56620086330512,
      0.492145237703192,
      0.562910980639855,
      0.486316084170071,
      0.202033666933396,
      0.54966261467503,
      0.641893202989679,
      0.339982527403436,
      0.291655410158003,
      0.494516956674088,
      0.236346877598814,
      0.558550372803832,
      0.668758928550242,
      0.472882489287534,
      0.40115422762744,
      0.323893523947431,
      0.271866587422287,
      0.416839127808748,
      0.324450082649344,
      0.130819442311117,
      0.35222293877514,
      0.227073643811703,
      0.312347985864461,
      0.562687314804297,
      0.471912707694696,
      0.531349611590859,
      0.448675033199128,
      0.20897725425201,
      0.613307682770491,
      0.619074344815975,
      0.30665338496425,
      0.245754966356274,
      0.242548670278881,
      0.224863627401374,
      0.164494139269865,
      0.173430659780515,
      0.115530712955018,
      0.350134636828499,
      0.239232447668617,
      0.301020558765745,
      0.6515885634962,
      0.529928853309847,
      0.409522138250512,
      0.400821903730703,
      0.16201396296115,
      0.417766232917584,
      0.528969216390474,
      0.255256259038884,
      0.173665878243391,
      0.487402640059529,
      0.161317039432894,
      0.495414436254471,
      0.46192365790751,
      0.476406389503266,
      0.171041230888717,
      0.499348472921094,
      0.282951705791683,
      0.235353568212351,
      0.134867032240144,
      0.152443005945583,
      0.42908630372103,
      0.178339789434939,
      0.389739608401795,
      0.637125051259597,
      0.551385360208359,
      0.337813298754221,
      0.426824259779192,
      0.173605346463607,
      0.446185599170789,
      0.563984950707717,
      0.235266104083988,
      0.192608610446406,
      0.425709372794375,
      0.161638319675429,
      0.503272704618583,
      0.429280359392663,
      0.451261232656853,
      0.150631946469596,
      0.53056919939881,
      0.265130631916973,
      0.227776920985113,
      0.130251831413034,
      0.162335435527542,
      0.42553089492678,
      0.126685920125956,
      0.458748267939159,
      0.325443807443231,
      0.223796486691727,
      0.0908078106716626,
      0.395760278753588,
      0.12913301003317,
      0.411394840860678,
      0.576883164560187,
      0.454712991988298,
      0.500513135043522,
      0.411717936740901,
      0.224476461760041,
      0.619720584809154,
      0.575790115043316,
      0.181162580674056,
      0.390552021470637,
      0.341391063236722,
      0.371218970455798,
      0.589836236039777,
      0.530486076411707,
      0.488271202599878,
      0.456012832897334,
      0.122382088923012,
      0.490402546907442,
      0.3425551998977,
      0.179807348803359,
      0.104508903390434,
      0.396224483662373,
      0.119918283164893,
      0.453061149181857,
      0.601337879888675,
      0.477171169978081,
      0.482143018546866,
      0.315881999043911,
      0.279687522291624,
      0.61487735125493,
      0.55806971034021,
      0.162993674221481,
      0.414107666759662,
      0.285086813915142,
      0.409033320792024,
      0.606570673707894,
      0.525389158744399,
      0.456158113394532,
      0.452422102900149,
      0.170100151309303,
      0.477859259389502,
      0.369659555105422,
      0.210469860862708,
      0.136084985124191,
      0.386354399277509,
      0.1387550617589,
      0.577194507077572,
      0.634085690320311,
      0.522763707175808,
      0.506067304303123,
      0.295490276312303,
      0.536554408016701,
      0.598614050592762,
      0.522990549434758,
      0.15067060007721,
      0.443560870774143,
      0.259590232327672,
      0.373777483152546,
      0.62305002479415,
      0.468776736817342,
      0.432694963925565,
      0.407105944437638,
      0.168881715469815,
      0.492494673675107,
      0.370449913572295,
      0.179053294739631,
      0.177938973230711,
      0.342935599149071,
      0.156679491591502,
      0.599991292502106,
      0.602272156633387,
      0.541073143165638,
      0.505561158640595,
      0.22648376527246,
      0.586269317810322,
      0.598976405036864,
      0.464968377542175,
      0.123358241214602,
      0.136753447219791,
      0.215116042355624,
      0.100205378777067,
      0.220907322905546,
      0.124461656029546,
      0.150601823659424,
      0.443634864598877,
      0.132234214558108,
      0.626748902708614,
      0.569786654159406,
      0.527742405317342,
      0.285066887397314,
      0.301126959016522,
      0.249743078765126,
      0.513054657708458,
      0.433705649547272,
      0.176978841011461,
      0.456816524404565,
      0.186929281833233,
      0.401599229109546,
      0.46950446814465,
      0.472361843657801,
      0.303188589893761,
      0.50170558749683,
      0.241932550614363,
      0.408375114634253,
      0.628777566770097,
      0.223998997403419,
      0.232330645988806,
      0.402773046528367,
      0.174816173828017,
      0.66657160702338,
      0.539524166101577,
      0.499099745306112,
      0.338488201656389,
      0.248635320765565,
      0.316017190844252,
      0.513562199011231,
      0.375206607736976,
      0.172621476464005,
      0.446463856362348,
      0.165123907080267,
      0.43682705809611,
      0.45562968041749,
      0.492379923576573,
      0.231796887997602,
      0.348242403450879,
      0.363371068595389,
      0.212560442038637,
      0.1699273554752,
      0.151751322975275,
      0.110665292924638,
      0.0443595228473926,
      0.0711178978773313,
      0.125282463875934,
      0.204030988999477,
      0.23790294940426,
      0.320599432370575,
      0.402563611885063,
      0.282763412023916,
      0.340798916509818,
      0.144354677813548,
      0.1674572251664,
      0.511341515127835,
      0.438679512849779,
      0.428614788099859,
      0.520033125003381,
      0.389986616386424,
      0.26795228885549,
      0.590183973366442,
      0.427045916318998,
      0.233715396465348,
      0.355503084708505,
      0.454540508519213,
      0.446086134304777,
      0.273405189674803,
      0.383524195334351,
      0.390401614971181,
      0.350532692058506,
      0.132759277783018,
      0.337984229182485,
      0.180751988925502,
      0.364457623380105,
      0.598493288033792,
      0.562783713323731,
      0.578723984367499,
      0.438608664871854,
      0.140465353286505,
      0.640339634316528,
      0.623863719873281,
      0.28590121096176,
      0.216295360012561,
      0.435996051823368,
      0.193595473286794,
      0.580713649032363,
      0.616841638838006,
      0.48749526427465,
      0.462579623881544,
      0.187723797334579,
      0.36640624740597,
      0.626445819887296,
      0.554741483706655,
      0.341242880657411,
      0.414667146112136,
      0.162432267297457,
      0.438337264861463,
      0.558077769599,
      0.23840627391619,
      0.184490971296009,
      0.421043450961717,
      0.167005362335328,
      0.558363705745419,
      0.450997390320239,
      0.454936010129446,
      0.346170935234801,
      0.359406850607398,
      0.283802968773367,
      0.478608510974705,
      0.531944327001608,
      0.158739432065117,
      0.464260585253018,
      0.141224273200188,
      0.439120093839879,
      0.595524009940302,
      0.608610499020666,
      0.278765643778796,
      0.429480603010614,
      0.165013743914625,
      0.463103056307267,
      0.534666269206415,
      0.219866779858065,
      0.233080531491492,
      0.425538806462348,
      0.193955959259434,
      0.533398691768717,
      0.451062990338132,
      0.438643464529789,
      0.15659476268498,
      0.482653466074713,
      0.259641827938308,
      0.211426788915283,
      0.121350102793981,
      0.150518005835233,
      0.0866555994942054,
      0.331536760855337,
      0.414961657030566,
      0.293357907848034,
      0.332378857352791,
      0.382841870603384,
      0.266872434780141,
      0.340433379325396,
      0.30359314723208,
      0.321201124293352,
      0.444224304886774,
      0.457697363047104,
      0.314951196337854,
      0.297117319043451,
      0.24806946203525,
      0.280065407830693,
      0.305782230927835,
      0.231729651131855,
      0.193520030272816,
      0.248619348295429,
      0.201272050145246,
      0.248141546111357,
      0.279742193582498,
      0.262582104938185,
      0.356679261115367,
      0.362865752674965,
      0.484177763464442,
      0.280525635675578,
      0.328905696402731,
      0.893614154215654,
      0.272013751926632,
      0.459019719869353,
      0.429061039108539,
      0.35432156136284,
      0.391044497279046,
      0.3958954458473,
      0.373079443165332,
      0.481375351324663,
      0.414514247621609,
      0.314467350059287,
      0.48335499098042,
      0.419496211486841,
      0.799909740468748,
      0.761522641705903,
      0.823096875548497,
      0.767229494051504,
      0.748999024746089,
      0.865914614941633,
      0.847614166365268,
      0.762042394333558,
      0.75812745778746,
      0.831282048944204,
      0.766630827211249,
      0.910315938746033,
      0.619107671775352,
      0.193519733960582,
      0.603866225304493,
      0.558080026319837,
      0.343609114268796,
      0.267539283369827,
      0.464769712606043,
      0.214629856722523,
      0.838349898909419,
      0.859616362407097,
      0.72706710484886,
      0.596968169273968,
      0.287190735275519,
      0.551291885627463,
      0.988646094590223,
      0.679865115645132,
      0.28558092344937,
      0.635695894230059,
      0.338235617103935,
      0.597847780953406,
      0.883278983083448,
      0.770757733023258,
      0.588271466876483,
      0.507011700042908,
      0.221696896154135,
      0.5909970688193,
      0.509384049508879,
      0.341497348365712,
      0.335315158449892,
      0.398725282059564,
      0.280840279888825,
      0.835518982989433,
      0.842058589049402,
      0.745153844573084,
      0.531710211504105,
      0.199909951993335,
      0.646665538880461,
      0.978882942476888,
      0.611010988076373,
      0.265970790569906,
      0.624122615495118,
      0.302221168403875,
      0.693715372428115,
      0.872871570433762,
      0.751202347847104,
      0.509381851307752,
      0.481562827693378,
      0.250361565230875,
      0.583141886520885,
      0.491944797879455,
      0.178337884971432,
      0.401109228635548,
      0.348405049340869,
      0.351311948134103,
      0.835569355266195,
      0.776025476349292,
      0.660727414115212,
      0.622769138774377,
      0.280331346326122,
      0.8163542923533,
      0.996617618296245,
      0.658042087471973,
      0.352251650899671,
      0.697320261133016,
      0.306956623346946,
      0.796679434852877,
      0.897249956473092,
      0.700869554738522,
      0.48427337022867,
      0.41589983399945,
      0.329656700442529,
      0.536712402614854,
      0.463368487612544,
      0.167482724487027,
      0.454568937528916,
      0.302399113986716,
      0.443818586540537,
      0.818706761567461,
      0.752046375197703,
      0.626912903556383,
      0.533749090856465,
      0.28953273231807,
      0.862871325323379,
      0.981609868028403,
      0.623629641312223,
      0.227520951391675,
      0.294965382437846,
      0.269353400092167,
      0.257560003181346,
      0.257620777417438,
      0.239225730296418,
      0.411653134005972,
      0.347625933608026,
      0.373282599127911,
      0.822758508280724,
      0.711566872083404,
      0.552254090409186,
      0.515558786654455,
      0.253586627574717,
      0.514507747191817,
      0.640222941806041,
      0.283921210885395,
      0.166825753560077,
      0.620249106309702,
      0.202194972915908,
      0.530914839554533,
      0.50098699928789,
      0.517072300348738,
      0.210363559549684,
      0.627836229779081,
      0.385416656765418,
      0.349029569632298,
      0.193951673909522,
      0.236337915315366,
      0.491527555315868,
      0.265487575220559,
      0.483048482093952,
      0.80986592118783,
      0.730668933960925,
      0.446768101854772,
      0.534774694393367,
      0.240715091025485,
      0.547850359915517,
      0.649152533083893,
      0.241270487577789,
      0.189245071571042,
      0.510559765677962,
      0.197383382334024,
      0.518431082590242,
      0.459681606452345,
      0.496011657924109,
      0.190078863860109,
      0.674800440026584,
      0.357892733354455,
      0.359462114382439,
      0.182510462780962,
      0.22554992276618,
      0.507282674893551,
      0.201121156545741,
      0.698447061541065,
      0.454616845144877,
      0.326397968644932,
      0.118762863222234,
      0.539130859931867,
      0.170330906887504,
      0.635504064746119,
      0.828832593083573,
      0.605532384199309,
      0.598520571059669,
      0.555788104819325,
      0.400883730334348,
      0.959032314345618,
      0.923004301004058,
      0.352848880317894,
      0.473553606068075,
      0.472051922001452,
      0.414028483697747,
      0.87438918638321,
      0.775162800847403,
      0.693963102234006,
      0.551296682165153,
      0.183469427805622,
      0.735159179767224,
      0.468105127282062,
      0.269654996290524,
      0.141740645216199,
      0.545132164423964,
      0.157794067015316,
      0.697930330163926,
      0.851663487758826,
      0.614308116918862,
      0.569566446242237,
      0.399253164719091,
      0.451396545226182,
      0.977714867443946,
      0.883078764088122,
      0.313288055867972,
      0.520329512678994,
      0.416894822413144,
      0.484461786175537,
      0.873613968345286,
      0.765480305596503,
      0.655888612769822,
      0.539396467628834,
      0.222254396681767,
      0.587413547076993,
      0.493044596826635,
      0.308853189887397,
      0.178145641830814,
      0.491366788230567,
      0.191653027634489,
      0.864768591123661,
      0.876787167297315,
      0.679526489029638,
      0.610794666732593,
      0.369007537729758,
      0.552170542159812,
      0.955782070673382,
      0.793666896087129,
      0.333058396447893,
      0.581523526248477,
      0.422960191296194,
      0.540248886899033,
      0.914272514487478,
      0.718259328997205,
      0.580867247077269,
      0.506356833740951,
      0.218005382717625,
      0.598574856009194,
      0.505348630750634,
      0.257613294145383,
      0.233510463083083,
      0.44699587624535,
      0.219244168723359,
      0.881302205325039,
      0.911553239966225,
      0.6881032507658,
      0.560463205729865,
      0.253688085647878,
      0.651163283790379,
      0.957337818508062,
      0.73631840607821,
      0.281619614340363,
      0.15513121919084,
      0.325013448084862,
      0.189189552156341,
      0.278948320697532,
      0.221992783007944,
      0.193678787188627,
      0.542205765777765,
      0.206885612262865,
      0.765984502384971,
      0.762996010773702,
      0.690782846337531,
      0.359809721348587,
      0.44855971671524,
      0.308086642390002,
      0.636192667019084,
      0.492561039725948,
      0.145933008617806,
      0.563921254395498,
      0.261551275893197,
      0.433921255830978,
      0.491049302722745,
      0.51477774678023,
      0.348452499289609,
      0.667118600134872,
      0.362165149739608,
      0.430664394271955,
      0.731869069067562,
      0.356330334775136,
      0.258482634294788,
      0.522368731464385,
      0.242229816975047,
      0.823675217297257,
      0.722842862321575,
      0.650217806142363,
      0.422375491503632,
      0.376201871936373,
      0.382943586869934,
      0.617767412077128,
      0.418861776877713,
      0.150147315454619,
      0.548193532518937,
      0.2187816742584,
      0.469341949826358,
      0.486255719265625,
      0.541661461739775,
      0.283446969541594,
      0.404588642253886,
      0.420226296711145,
      0.331262584162987,
      0.245432725420905,
      0.243232437137445,
      0.122301556620329,
      0.0920606565913588,
      0.102352938778547,
      0.176240221287699,
      0.368603942622071,
      0.445814967394099,
      0.226127939532149,
      0.208916724334753,
      0.196642477849102,
      0.472535677525736,
      0.24126407467362,
      0.371846146109195,
      0.745248192665762,
      0.505110873801799,
      0.678504415422299,
      0.672968925890977,
      0.367917029163724,
      0.381204502885755,
      0.749524701092834,
      0.521947433620837,
      0.252869456015671,
      0.384213582562516,
      0.660560532664121,
      0.612664182741905,
      0.375287433055011,
      0.429963883833027,
      0.494183499709146,
      0.469764052891856,
      0.152335257006635,
      0.457804902934606,
      0.261369017364767,
      0.549646270156826,
      0.902359334169053,
      0.760794752503272,
      0.683067397525112,
      0.538734722166651,
      0.183415228159948,
      0.871545001893664,
      0.967667651778716,
      0.434111904636262,
      0.303853433005298,
      0.718308998534508,
      0.288226742993047,
      0.925643173553454,
      0.872492356958871,
      0.702220405579,
      0.546520193991094,
      0.275609318779299,
      0.456598664793544,
      0.799898293803202,
      0.736525466379482,
      0.463971217118853,
      0.53016901921551,
      0.236378468395036,
      0.548157880415327,
      0.648650800129956,
      0.242136508212637,
      0.172695605461151,
      0.428366360940674,
      0.200435405860211,
      0.628315096394837,
      0.479880332289119,
      0.495478962590009,
      0.431599789772495,
      0.565328996066367,
      0.336418496968566,
      0.520193876624765,
      0.673938801700786,
      0.235639999728711,
      0.530133090676089,
      0.219795174093648,
      0.547593524117799,
      0.780177484030897,
      0.804581974501745,
      0.376738001996925,
      0.565796208468975,
      0.239573845766103,
      0.575981652241622,
      0.619671255824467,
      0.210130612284888,
      0.247819124918632,
      0.550415518049394,
      0.244896390697708,
      0.565989803815867,
      0.482249352840273,
      0.480542716285543,
      0.192760248970617,
      0.578605779393162,
      0.324103769449666,
      0.34384141452074,
      0.177825275620074,
      0.222745450816,
      0.105020115664328,
      0.434188468253963,
      0.473442583999197,
      0.3578104615277,
      0.429255254831377,
      0.414816208173682,
      0.330525051828939,
      0.417009679669029,
      0.323945759796147,
      0.389258899368774,
      0.466916921045787,
      0.378012992042659,
      0.364609734897041,
      0.390422227746457,
      0.329586387609758,
      0.351138610304419,
      0.363073871401536,
      0.270419605926916,
      0.178841127177324,
      0.275603361675752,
      0.220885984573797,
      0.289576840355415,
      0.30938653753486,
      0.272069361603625,
      0.468573107102736,
      0.435800803146065,
      0.705467668238264,
      0.525507961553322,
      0.292274856031655,
      0.810721501701625,
      0.263426783481572,
      0.357645812320109,
      0.271556566503986,
      0.166675709807801,
      0.22827470207234,
      0.232855114833533,
      0.213824890572995,
      0.282383607200609,
      0.221527266676099,
      0.222209811783206,
      0.429009040317113,
      0.473195728501708,
      0.928307739691512,
      0.989917217811806,
      0.993408008954652,
      0.947261992399491,
      0.961838787032118,
      0.982026455926597,
      0.971659367745417,
      0.983896947821533,
      0.966321457756023,
      0.997056224272829,
      0.94541634263245,
      0.960997734703009,
      0.612549231677477,
      0.182417925093887,
      0.576086957088918,
      0.547572595300292,
      0.532287374867691,
      0.313260105989526,
      0.438747840652524,
      0.201289902430769,
      0.630871302536451,
      0.622955861838435,
      0.835370609442023,
      0.709154478814953,
      1,
      0.997397004680537,
      0.827078300054105,
      0.855354683503464,
      1,
      0.996022563900456,
      0.959491086431324,
      0.982013002293595,
      0.698083113859317,
      0.956525225400884,
      0.676004149524726,
      0.524390337168919,
      0.19448139353915,
      0.578304780521331,
      0.500729708950086,
      0.571360494239896,
      0.351482362356492,
      0.383677026749296,
      0.251899383283889,
      0.623639235565028,
      0.599870138239535,
      0.867468295706262,
      0.781408918323257,
      1,
      0.976952854720237,
      0.652575394875808,
      0.87934976530609,
      1,
      0.981484138521351,
      0.969410161884853,
      0.961802543619453,
      0.689667611624692,
      0.970863390702023,
      0.62077445553797,
      0.480317051362674,
      0.249170410658213,
      0.566367555953188,
      0.493367761503896,
      0.165852802813068,
      0.398105974718238,
      0.327431131378665,
      0.300277064335769,
      0.645365428322649,
      0.537644276213358,
      0.700421646494912,
      0.812334042539005,
      1,
      0.962386889396519,
      0.768047434963409,
      0.932803437487885,
      1,
      0.982277244851307,
      1,
      0.924288271150266,
      0.726863783008201,
      0.915433427895446,
      0.57909096991504,
      0.404019515251331,
      0.323300046992396,
      0.526107159442709,
      0.461451397397693,
      0.156697420667975,
      0.443654907722172,
      0.284930293914776,
      0.354805331963619,
      0.648057674778979,
      0.546017781783484,
      0.688056293976913,
      0.885372825667458,
      1,
      0.925278628547484,
      0.624815609188892,
      0.974840189589172,
      1,
      1,
      1,
      1,
      1,
      0.787494564757484,
      0.483293320873459,
      0.330369571256251,
      0.413698150900538,
      0.910087484505007,
      0.715935780532741,
      0.569763036687861,
      0.507299979862703,
      0.237606699046593,
      0.549089834830176,
      0.740828420856246,
      0.340752376596992,
      0.212472162017521,
      0.91217513297913,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.71564821925732,
      0.566212466747468,
      0.258088292999642,
      0.515723518504956,
      0.893380340322759,
      0.739759066176796,
      0.470786964840856,
      0.532543743275503,
      0.235662857818964,
      0.589171126072218,
      0.762591819430999,
      0.280476057673482,
      0.245501859979531,
      0.975308224341623,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.627335701869579,
      0.579412509249145,
      0.198441913658022,
      0.501490474515739,
      0.443043575500243,
      0.31577524700375,
      0.111005255034798,
      0.539932861025113,
      0.152351244806776,
      0.450385518499112,
      0.654376121355278,
      0.548541174060399,
      0.667849268340215,
      0.993425833286562,
      1,
      0.865106496861576,
      0.846771557932733,
      0.99780949664393,
      1,
      0.97620989008881,
      1,
      0.751453027711817,
      0.872918293211593,
      0.781532712168849,
      0.633639181305561,
      0.186577377093489,
      0.523229114606179,
      0.466649154623998,
      0.258566911399832,
      0.129105240049403,
      0.532869668306399,
      0.13637871092365,
      0.490420462487481,
      0.655199959218967,
      0.586510333259988,
      0.680346720022339,
      1,
      1,
      0.823425161977762,
      0.822934843047533,
      1,
      1,
      0.977839383897828,
      0.996558540098417,
      0.732248751311422,
      0.909851422274411,
      0.72620011549194,
      0.614520044329019,
      0.198583832851366,
      0.566479960285489,
      0.490212909455625,
      0.295135741608862,
      0.178966081880463,
      0.467002241627348,
      0.176301158162023,
      0.661839772360224,
      0.648341402643516,
      0.678402745294966,
      0.684863566703975,
      1,
      0.997848709433295,
      0.806467965392721,
      0.868999830193526,
      1,
      1,
      0.990587329513315,
      0.997271130242664,
      0.695459551874351,
      0.886074258021897,
      0.66669895590405,
      0.535670929563001,
      0.187550571982992,
      0.583297729161959,
      0.491942985182225,
      0.249744787320613,
      0.23296191769801,
      0.425101365202798,
      0.207844710532734,
      0.689635728643413,
      0.647222970168741,
      0.723637296218935,
      0.721666529031999,
      1,
      0.987001006933482,
      0.733896226175707,
      0.87948285201463,
      1,
      1,
      0.992505344520921,
      1,
      0.992364603307091,
      0.942767224718451,
      0.378442189400237,
      0.552256613424808,
      0.2003748360007,
      0.865144795162204,
      0.767932124956189,
      0.745813967805661,
      0.355171509081118,
      0.431140171623654,
      0.333878745569412,
      0.720015324035107,
      0.546289161767028,
      0.186853915765879,
      0.664310478804247,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.94533166339593,
      0.937699718111374,
      0.397574532676179,
      0.52015276346614,
      0.245576679241544,
      0.914371761085948,
      0.73784644442851,
      0.689169391597238,
      0.414227392526438,
      0.359913270370299,
      0.418809877311175,
      0.721187661553713,
      0.460958283374897,
      0.200652761639288,
      0.76578949758753,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.897086301368498,
      0.210873020826696,
      0.077186874611049,
      0.0658966770877457,
      0.213121838557438,
      0.155318765387209,
      0.256325852309342,
      0.121050610355518,
      0.171540634433643,
      0.0902230519935018,
      0.270524245879722,
      0.273401500170542,
      0.545610869562673,
      0.858162947560112,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.969912463538837,
      0.955983669719395,
      0.641052216187518,
      0.352682083152434,
      0.421987593337038,
      0.513657892743314,
      0.452036819160323,
      0.140772575963974,
      0.443667400897064,
      0.222249405603348,
      0.429908054141983,
      0.759252569562404,
      0.606841886947008,
      0.730469223574614,
      0.897277623198189,
      1,
      0.906292101971299,
      0.791700410568455,
      1,
      1,
      1,
      1,
      0.857533445071139,
      0.843687192735923,
      0.889145584247377,
      0.649452846837099,
      0.262044960035021,
      0.494083711916184,
      0.889568781145942,
      0.759434908434216,
      0.49645026024638,
      0.533232580929288,
      0.227719277262997,
      0.582457853317953,
      0.749551735225536,
      0.280531020916443,
      0.251471030240366,
      0.979352447828582,
      1,
      0.998391545821371,
      1,
      1,
      1,
      1,
      1,
      0.988535495397408,
      0.951146409688147,
      0.633197410382196,
      0.596686941071613,
      0.215593100111753,
      0.602881784997403,
      0.847091079910133,
      0.795370939263762,
      0.399533864884892,
      0.559096565124163,
      0.239744610620049,
      0.60906682098254,
      0.718691890682646,
      0.255339782065804,
      0.298755365993145,
      0.996384688451615,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.547507964583458,
      0.160047002366564,
      0.431768267841248,
      0.503898295292401,
      0.314616445932284,
      0.382796877654723,
      0.378848578634299,
      0.337717273671394,
      0.419252962365917,
      0.316194691179245,
      0.342252642912969,
      0.424200153189608,
      0.418491110952538,
      0.976143207676027,
      0.968886450346519,
      1,
      0.972916883528382,
      0.729171295071097,
      0.741890559335845,
      0.77828913889436,
      0.77822947471595,
      0.760155538637118,
      0.678257791671439,
      0.862003272878733,
      0.850746842066816,
      0.951095270344282,
      0.673925230775357,
      0.616436482814076,
      0.610097335891027,
      0.305561786446239,
      0.821920494656852,
      0.323610602314688,
      0.311825003098931,
      0.151802014232479,
      0.117676655568036,
      0.178636089004813,
      0.111757014841105,
      0.132120635687681,
      0.137813685161768,
      0.113415443403001,
      0.233181274038906,
      0.255545759853405,
      0.38268592501878,
      0.869549062240917,
      0.84467831778774,
      0.860423269136953,
      0.838153297546479,
      0.840203883211637,
      0.897874364922588,
      0.897883244165099,
      0.84277984558317,
      0.854933981128534,
      0.882980697533201,
      0.859279664159887,
      0.823817323344608,
      0.550524958798258,
      0.154245303356303,
      0.52670105384732,
      0.518950897354051,
      0.400260290040033,
      0.285301439758769,
      0.379170111321083,
      0.195025968768807,
      0.780501474605729,
      0.814935744685747,
      0.711643207341045,
      0.687887728762518,
      0.435848635118289,
      0.515062607504982,
      0.955975847074389,
      0.701818375552223,
      0.338561569824255,
      0.647697739016492,
      0.409638817653797,
      0.668555019843198,
      0.985085348206516,
      0.775910823934432,
      0.511495118942644,
      0.44822966149395,
      0.176608303588642,
      0.530916887204018,
      0.483700069834007,
      0.420353004810883,
      0.324760698245441,
      0.324314186476213,
      0.261359376577316,
      0.769409200258901,
      0.808955279087055,
      0.733853352514542,
      0.62117579424013,
      0.304243990545577,
      0.631886164162267,
      0.967877468033468,
      0.707911113864041,
      0.340774890492586,
      0.645848016511857,
      0.370553295776031,
      0.743614090881562,
      0.988212994337686,
      0.741871759548267,
      0.486793266216381,
      0.397360288650958,
      0.199451874838011,
      0.491311979153032,
      0.428705320916559,
      0.165530287970222,
      0.373446368752034,
      0.291490453166559,
      0.351588718712784,
      0.777693155797491,
      0.763237440881407,
      0.635807396123986,
      0.73295372296887,
      0.328503875546578,
      0.635120689464734,
      0.927356636903669,
      0.639521617614515,
      0.311559468241573,
      0.650706012260211,
      0.375040251353334,
      0.817132551775885,
      0.999204316888561,
      0.70823833111751,
      0.50078421446084,
      0.323590411487227,
      0.284784943131312,
      0.456144263723723,
      0.40813081320027,
      0.172005422665281,
      0.417172933658924,
      0.246405366640965,
      0.44363083896509,
      0.756419949626384,
      0.74419046096855,
      0.634133214183528,
      0.636413927911247,
      0.285165313746273,
      0.735823128640934,
      0.944951630137216,
      0.610199893628421,
      0.240409857571997,
      0.387934787374126,
      0.323936235900487,
      0.274591227909335,
      0.275731672041947,
      0.424630420243112,
      0.434143118571599,
      0.289003845360937,
      0.405107663077719,
      0.883602587565714,
      0.716426546404906,
      0.570507765743457,
      0.473952222763504,
      0.216577289141752,
      0.514910901641913,
      0.638430645401877,
      0.319878531432055,
      0.259916888169261,
      0.735558832012546,
      0.319632785543082,
      0.629139733045111,
      0.632026722414087,
      0.596402379237565,
      0.278558619646682,
      0.67708090654002,
      0.418097988913316,
      0.34791577080644,
      0.270946567750945,
      0.32372815533465,
      0.499388321030643,
      0.226573030111594,
      0.511293476960265,
      0.878350691664301,
      0.733529444863479,
      0.477279265394243,
      0.498308998481704,
      0.197368396556401,
      0.557603437919126,
      0.652176798855817,
      0.294831042823985,
      0.288356702706377,
      0.619887107084086,
      0.328505638041732,
      0.632952446414405,
      0.574106568749614,
      0.558384968274494,
      0.274322391244396,
      0.678787211139202,
      0.399054361693048,
      0.369984044158882,
      0.285716523354217,
      0.319977603436267,
      0.530119533506584,
      0.144580588537798,
      0.460541032475356,
      0.37243132532957,
      0.273018292783861,
      0.100449285166337,
      0.498424958260892,
      0.153771273210881,
      0.641173134984555,
      0.761314410057362,
      0.548532851193262,
      0.629228080034891,
      0.674099347635222,
      0.287283335843797,
      0.885696745405847,
      0.880745355575604,
      0.385631701153145,
      0.531407353230816,
      0.541370667211655,
      0.473968942793524,
      0.958553776215655,
      0.875952833177388,
      0.578355231196651,
      0.535096712493334,
      0.134581963177271,
      0.473939693616001,
      0.393605888206401,
      0.215660353609779,
      0.125956901163263,
      0.486100594929045,
      0.141256406602351,
      0.703649156322558,
      0.793982165979019,
      0.554550520343232,
      0.628214150330134,
      0.501445173570097,
      0.342710855352239,
      0.935816195648857,
      0.865982138980563,
      0.382774327125745,
      0.556328342505382,
      0.485430165799339,
      0.543161652244193,
      0.961337139712132,
      0.846162450672042,
      0.547531444605763,
      0.513988761170177,
      0.120368945963967,
      0.508120508233096,
      0.428892297480632,
      0.255445644134257,
      0.189119665853464,
      0.411090309946418,
      0.164709718054602,
      0.852012929272496,
      0.824023758191676,
      0.629727156890932,
      0.653896289286942,
      0.508480852413913,
      0.404362084352074,
      0.897879929932739,
      0.781778528989472,
      0.394420213026363,
      0.582512303672443,
      0.46310448210682,
      0.581463071684417,
      0.965405342228379,
      0.810802278840167,
      0.535433589470224,
      0.447967157412204,
      0.121923760139376,
      0.520018058898623,
      0.435357887834738,
      0.231329588373689,
      0.22858545075774,
      0.363272079983242,
      0.211162829105375,
      0.854257617603012,
      0.839428532446524,
      0.669712033724383,
      0.61778555430335,
      0.383183220737008,
      0.489717720892733,
      0.901169213881142,
      0.759666433435253,
      0.353018360577061,
      0.297071243985484,
      0.386587904065934,
      0.248083130701,
      0.345131431777267,
      0.350239062044028,
      0.297624054415149,
      0.493559315539287,
      0.179836330512228,
      0.846702936598816,
      0.737072184607347,
      0.754835114417358,
      0.339533170305348,
      0.373603545490771,
      0.326463163952427,
      0.635707773248456,
      0.480091974910528,
      0.258037239476479,
      0.64190959087758,
      0.40116793398813,
      0.521172737983418,
      0.685718767471962,
      0.578917069400893,
      0.446789146229952,
      0.67299771792145,
      0.421680100502831,
      0.496390498287589,
      0.892663821173984,
      0.492132659045733,
      0.313592890189911,
      0.45245133944948,
      0.233738699290483,
      0.884643045348471,
      0.713290592234261,
      0.692827703322226,
      0.386765866631433,
      0.313852803914234,
      0.392697355736688,
      0.629341725101441,
      0.408875209496789,
      0.251425684732765,
      0.661591829156173,
      0.339592844704369,
      0.55706408307364,
      0.666549779870831,
      0.604132372961507,
      0.359872731140587,
      0.532555231781802,
      0.42951606681967,
      0.358728583127289,
      0.338155633461879,
      0.366778107151861,
      0.167255108182146,
      0.0437489320963831,
      0.0541652234793386,
      0.112311527968443,
      0.0788711767126541,
      0.126421642124171,
      0.0615072703494586,
      0.162132806447189,
      0.068027141086177,
      0.166943490188736,
      0.188152204323549,
      0.278901655714548,
      0.694176221098075,
      0.416101946513677,
      0.430191669848706,
      0.504185507062639,
      0.40797562974182,
      0.424344894090612,
      0.672126884262537,
      0.594976646766117,
      0.484124154368603,
      0.530026303111953,
      0.781196721821042,
      0.539225098939135,
      0.319783720136761,
      0.514270338234109,
      0.501027547929794,
      0.436260199456879,
      0.134763209146809,
      0.431299412979765,
      0.254941639906719,
      0.565168926831471,
      0.827906084577667,
      0.720012619142692,
      0.676088000661704,
      0.696081543481372,
      0.291164551817955,
      0.781651532956863,
      0.963943765539667,
      0.547406243166659,
      0.370517470480652,
      0.671573353032714,
      0.338143160075478,
      0.866305237205714,
      0.967503005863182,
      0.632951967459126,
      0.523401652748724,
      0.236047226633363,
      0.475366327482796,
      0.861463837205288,
      0.750844728682454,
      0.490585389858235,
      0.508449320833329,
      0.20453739065955,
      0.551394988150944,
      0.640356402383271,
      0.290799604369899,
      0.284136328051764,
      0.587486264520152,
      0.333707690752358,
      0.751511600853197,
      0.608340147470905,
      0.556742441112498,
      0.491743402199329,
      0.611139943205775,
      0.393032754261656,
      0.639885907684871,
      0.830688842026618,
      0.330776166667953,
      0.530837874471987,
      0.187683153478819,
      0.598502526161328,
      0.826141711643729,
      0.799212297714641,
      0.394826814808984,
      0.515573950182886,
      0.196247477894611,
      0.588866004825903,
      0.622178548934776,
      0.272063800960496,
      0.325920194176398,
      0.668467484005321,
      0.34669585660312,
      0.697734460538639,
      0.628905068749585,
      0.544726926517211,
      0.296268815110692,
      0.626182189100599,
      0.363512206840269,
      0.400050052339507,
      0.290065762692883,
      0.296092620902391,
      0.156339122121557,
      0.384102959128454,
      0.471879527279727,
      0.279344326659882,
      0.350928063258229,
      0.42143095254241,
      0.255058242648153,
      0.443140012573874,
      0.339442153313453,
      0.29353585100812,
      0.508282399596139,
      0.516437827277464,
      0.605835240355101,
      0.633665082691432,
      0.586469260991921,
      0.642983066818268,
      0.712159148832878,
      0.635451370196358,
      0.573103418644635,
      0.669249526658792,
      0.590867012643242,
      0.73974044840999,
      0.686058897488608,
      0.837980984489085,
      0.806880687442321,
      0.627512037067711,
      0.493371398140358,
      0.375021808268781,
      0.234352300708177,
      0.822249098671714,
      0.345400875162364,
      0.514112340358307,
      0.510977951050169,
      0.528019555544312,
      0.58490302519043,
      0.568587107962697,
      0.598190658354799,
      0.453553004823795,
      0.521492463597343,
      0.534098060691624,
      0.718465601368894,
      0.693831294826978,
      0.839932536448253,
      0.730810521474479,
      0.75804560824728,
      0.718276817142508,
      0.683904140180184,
      0.782801583730449,
      0.805771425591843,
      0.711738640841236,
      0.672919997721855,
      0.786027477801109,
      0.743019461944133,
      0.750209523049624,
      0.60497991032289,
      0.21325724892106,
      0.600971311519316,
      0.565342667715289,
      0.34613752916569,
      0.27280273702198,
      0.416286494239881,
      0.21869448388893,
      0.589592330460047,
      0.560015709243529,
      0.711374253788393,
      0.978221483977103,
      0.287857194009606,
      0.371839207795678,
      0.670421471403192,
      0.517443356097425,
      0.181816140612752,
      0.642209336263588,
      0.278258477656013,
      0.419233352351279,
      0.644686222351313,
      0.521148363705622,
      0.424865034260682,
      0.537719315720832,
      0.233025990563032,
      0.595332154168977,
      0.5523710135288,
      0.324786855910293,
      0.331115167672934,
      0.354835903715931,
      0.256018041200433,
      0.586215569999015,
      0.534884806756848,
      0.783217132629489,
      0.901697543100768,
      0.209731082222583,
      0.424362922140127,
      0.696813177355183,
      0.473372629512262,
      0.207997500396536,
      0.625839381955829,
      0.245724151650925,
      0.462492381303366,
      0.640793579555811,
      0.509286332390542,
      0.406978486541315,
      0.451951261836072,
      0.250502265659471,
      0.520306151437951,
      0.479764069039578,
      0.321945311507229,
      0.41299774191043,
      0.332542154729358,
      0.293225310753727,
      0.610756374412244,
      0.588231503743098,
      0.824123866034565,
      0.873054629294325,
      0.192906916115388,
      0.474112132011539,
      0.709511721344213,
      0.463652922706329,
      0.219771670424482,
      0.577683051832004,
      0.24627001828525,
      0.502540479645195,
      0.634112860211627,
      0.636987596351008,
      0.570814646369625,
      0.381165691150437,
      0.320739266866974,
      0.489317004930438,
      0.451513087083656,
      0.332160081203056,
      0.447423740338343,
      0.281250423270235,
      0.340398176815858,
      0.601353673220396,
      0.59190266451794,
      0.852052209930559,
      0.783180542534805,
      0.170364424577793,
      0.514676921035876,
      0.731593122646673,
      0.418121230706329,
      0.137772748609416,
      0.257657841903041,
      0.192781821288673,
      0.171626537396275,
      0.188114334500507,
      0.527241678655891,
      0.513768083850619,
      0.343784575654007,
      0.426905158788882,
      0.89311032550141,
      0.796589504680724,
      0.562724646776825,
      0.510244352593149,
      0.244894193946065,
      0.489296144460691,
      0.678769593737871,
      0.429261495649459,
      1,
      0.737436884582235,
      0.205351997349311,
      0.620718257972845,
      0.600902258595157,
      0.681717028481062,
      0.240281360507904,
      0.577232042733083,
      0.314044205861131,
      0.226388377308006,
      0.161737505655869,
      0.290634774857013,
      0.555505688496195,
      0.276211873045456,
      0.534377114428784,
      0.894633828537753,
      0.807738753832045,
      0.47038717392474,
      0.541116063571328,
      0.211941915785837,
      0.53397731279915,
      0.705291431932338,
      0.479169935267713,
      1,
      0.618984308384998,
      0.223340311492437,
      0.632102225441286,
      0.599213202808263,
      0.669179195529206,
      0.191899500447969,
      0.617800684530687,
      0.283317599037715,
      0.243235404208575,
      0.176876281206009,
      0.276686540609835,
      0.57400097650872,
      0.191004576189539,
      0.472523175002876,
      0.434223997207858,
      0.319383341163719,
      0.1716078039506,
      0.511573120521056,
      0.178782212581098,
      0.439166274656205,
      0.583005960436517,
      0.442707574011004,
      0.913378850023882,
      0.556108295748233,
      0.207347884259063,
      0.590910565305712,
      0.682361357213239,
      0.240514558289913,
      0.455350178261061,
      0.400398870556869,
      0.353892196606497,
      0.627566085814562,
      0.504114465940664,
      0.468056795718123,
      0.613694212096695,
      0.165484016513086,
      0.504558426349628,
      0.442744873706507,
      0.277263877688404,
      0.18968400096494,
      0.498303166661671,
      0.17605218940358,
      0.467429712076605,
      0.583562106548156,
      0.4632023311184,
      0.930691611247427,
      0.432671340839972,
      0.250911085719891,
      0.620070641207177,
      0.645014831003006,
      0.226437264675023,
      0.506589305071289,
      0.334583387727071,
      0.393173219101478,
      0.64275300896664,
      0.495993417066838,
      0.44888370059701,
      0.589570774412118,
      0.160108397519117,
      0.58091614609563,
      0.50235249245603,
      0.425415703835868,
      0.30991056380942,
      0.428924833187821,
      0.201422283084531,
      0.615338859109655,
      0.605326002663005,
      0.595606537682837,
      0.989536720313583,
      0.360965912356904,
      0.307654749507756,
      0.645489179986899,
      0.597009109978001,
      0.244488496035041,
      0.538936999175324,
      0.350557347205095,
      0.395451508903924,
      0.651455411945329,
      0.615855559861492,
      0.469781941338222,
      0.517671500254395,
      0.16213617046487,
      0.59073043024275,
      0.516652662460817,
      0.399989368574414,
      0.314583596436731,
      0.383464407944632,
      0.225932895879767,
      0.64042477761621,
      0.601040310432718,
      0.640020879094873,
      0.956479083463582,
      0.272491309567135,
      0.368870137549486,
      0.66312592969109,
      0.55334867582327,
      0.208792006880175,
      0.177793977117433,
      0.274497703331988,
      0.148968984646692,
      0.240057580352837,
      0.420719569538895,
      0.293770530018186,
      0.564735257415776,
      0.211852266717899,
      0.847606993360584,
      0.818346279407684,
      0.763253998615997,
      0.365756499783917,
      0.415696387402935,
      0.31623374412222,
      0.662795067842287,
      0.507861309922054,
      0.841244621859846,
      0.949684045413094,
      0.246054084713703,
      0.519679250493939,
      0.605300387299829,
      0.673177150139876,
      0.436717012182861,
      0.604025116566368,
      0.291742585742069,
      0.473164866493093,
      0.746811596209004,
      0.363848904978265,
      0.33780573793229,
      0.511583934364709,
      0.255818757303735,
      0.883858463347391,
      0.798929885831731,
      0.69191884875364,
      0.414701345023258,
      0.356549360190011,
      0.371924270049234,
      0.664621509897764,
      0.467211468763652,
      0.913891754481393,
      0.866659194687651,
      0.204264131122031,
      0.57559991498734,
      0.584274206731762,
      0.691311786959524,
      0.341624065414449,
      0.399116162195048,
      0.409153232169791,
      0.199473137955963,
      0.219800679429605,
      0.263067982752786,
      0.259308604455039,
      0.129240769534139,
      0.122912498679631,
      0.182676473730143,
      0.170657977906837,
      0.20925797849742,
      0.118255270630281,
      0.218472573470147,
      0.118108063944691,
      0.254874535971465,
      0.238797670544583,
      0.976162798305007,
      0.781867998549669,
      0.337220724014144,
      0.302642560262425,
      0.421012938831985,
      0.429445823936091,
      0.338924663086148,
      0.576746706053001,
      0.53190374779012,
      0.361751496162051,
      0.583739361584455,
      0.60424243470686,
      0.477982665862374,
      0.559348750275743,
      0.619292254738609,
      0.517018598157506,
      0.523566442641984,
      0.214211611532464,
      0.460407822230391,
      0.280563898511239,
      0.426566111651375,
      0.670812287088436,
      0.550100907209629,
      0.912280801379886,
      0.716439595914437,
      0.157404550085622,
      0.547319025585889,
      0.772125199433153,
      0.411565331546712,
      0.311770903661992,
      0.642360549324862,
      0.260345517063132,
      0.591148976618555,
      0.587193223745465,
      0.585320217138254,
      0.536235846945545,
      0.290528383255029,
      0.512602220427857,
      0.871358738135669,
      0.814282293661247,
      0.484877382119369,
      0.539352841864693,
      0.218752302036228,
      0.536281517116768,
      0.675609997013857,
      0.473704231177343,
      1,
      0.608450014724744,
      0.21361713477691,
      0.704189453503431,
      0.600949779863218,
      0.666044791804447,
      0.43440170622554,
      0.471937589278202,
      0.326493901117882,
      0.56826081159115,
      0.630225561944586,
      0.283347343788441,
      0.602713234284391,
      0.216506378200367,
      0.605147575886208,
      0.850436540580666,
      0.860606696717956,
      0.403079539100467,
      0.54623824449276,
      0.206860081508846,
      0.574548022484672,
      0.646996586977604,
      0.524329984614619,
      1,
      0.564078682406524,
      0.272101801659513,
      0.668300240338482,
      0.622241503138177,
      0.638390488047924,
      0.18596937462335,
      0.582425539010627,
      0.267061954009908,
      0.221657537652682,
      0.195363482017282,
      0.26439218787193,
      0.336898863210446,
      0.389089284338297,
      0.445879766133294,
      0.318126980052379,
      0.358868377829459,
      0.399370650211895,
      0.316643807086102,
      0.435511662937879,
      0.390074802538405,
      0.385374184103306,
      0.446377114359414,
      0.425536552600261,
      0.374602950957564,
      0.370231700083643,
      0.347796243829088,
      0.459519737285302,
      0.677895027893425,
      0.667729133667189,
      0.55932756088032,
      0.668299774903631,
      0.545736204365168,
      0.645369540620481,
      0.508862362728652,
      0.721618143998398,
      0.78306565841723,
      0.44005091199989,
      0.426561502363601,
      0.355955231881233,
      0.336687493021725,
      0.957392831051572,
      0.338175002836379,
      0.416765752546053,
      0.355196062462762,
      0.379879103958426,
      0.454623241883964,
      0.424700691969818,
      0.405752222385122,
      0.361776617044443,
      0.348204491322301,
      0.471141868889969,
      0.441409903277214,
      0.600261168578508,
      0.768747603765783,
      0.586561276885364,
      0.680706262250212,
      0.632730591816903,
      0.586115107756331,
      0.680062612068636,
      0.728048749658575,
      0.594700265990502,
      0.581894939812777,
      0.721155768445225,
      0.633264200196125,
      0.647454441773862,
      0.523888663922995,
      0.199183280381303,
      0.547753505445844,
      0.488371406112908,
      0.247324579099928,
      0.276772083806718,
      0.387608966170398,
      0.217823419935168,
      0.77439997895115,
      0.710090474101992,
      0.826628254026723,
      0.510655353333013,
      0.237478311693146,
      0.404186642893595,
      0.786076749389193,
      0.437908280289164,
      0.146545106386861,
      0.630835459502471,
      0.266121473947436,
      0.599237525115914,
      0.746282005417767,
      0.737323094698215,
      1,
      0.573159363745341,
      0.217758797103126,
      0.545586816870467,
      0.456678379152296,
      0.225374093446226,
      0.332107641781026,
      0.324179811636234,
      0.284532330361194,
      0.743739046573959,
      0.713590999743583,
      0.861940975376752,
      0.443787543824967,
      0.202097412397058,
      0.497251460067797,
      0.752801968885926,
      0.386227095995644,
      0.175333785650638,
      0.635791345024776,
      0.248503454007152,
      0.648085332799113,
      0.738308592394528,
      0.74732077886353,
      1,
      0.47117374738685,
      0.223031836741401,
      0.476895605185316,
      0.441368025901803,
      0.205264330143366,
      0.400600911530743,
      0.287511129267608,
      0.291549566656858,
      0.73170947399265,
      0.747185864379611,
      0.876745910484789,
      0.432746832540533,
      0.133736428506204,
      0.568844039286457,
      0.757193876572431,
      0.33014690955433,
      0.180568491871764,
      0.529190143186573,
      0.162938133520743,
      0.655363054430993,
      0.732783032187593,
      0.890084778781877,
      1,
      0.363319206134203,
      0.289786796309716,
      0.444437287315968,
      0.417149257867604,
      0.248718014370351,
      0.393903345433733,
      0.231231077479518,
      0.35543646783806,
      0.707298738562393,
      0.742162894205965,
      0.854148962755205,
      0.374753353049553,
      0.121057883782676,
      0.646340979574707,
      0.715500056438898,
      0.292982760837995,
      0.099721825238943,
      0.172091811850907,
      0.124728660425742,
      0.168258929931594,
      0.123498257641738,
      0.830185401728976,
      1,
      0.313310224745791,
      0.36074870912421,
      0.809052486630951,
      0.697689003611866,
      0.518496443257979,
      0.447170900622856,
      0.204308236111826,
      0.441324614432641,
      0.576738067608645,
      0.287286280600463,
      0.255015120831166,
      0.400312705618396,
      0.16944514838741,
      0.536294430396885,
      0.546138731508574,
      0.570609475574684,
      0.225114333844729,
      0.512804533312937,
      0.268270104830484,
      0.207551539852988,
      0.136792169878187,
      0.818489661015073,
      0.97830749222219,
      0.223092880233024,
      0.456682825240771,
      0.799996706585274,
      0.716800516227672,
      0.431807914890627,
      0.46380942189623,
      0.178483105348787,
      0.479026356845501,
      0.582760131924674,
      0.265860552492799,
      0.257832631979403,
      0.343015349647302,
      0.193309206490736,
      0.56191661146436,
      0.536548178950406,
      0.558642985768359,
      0.198318193168874,
      0.546699013659931,
      0.243088198030967,
      0.201452237400038,
      0.170553095950469,
      0.893636910074261,
      0.927121601511363,
      0.184330172262262,
      0.425573901450783,
      0.38373201590634,
      0.259544858775565,
      0.12323506871156,
      0.438116555410639,
      0.130137932499125,
      0.541066300656086,
      0.706451867416295,
      0.578954450207994,
      0.628722120051245,
      0.357530103996501,
      0.175496818944194,
      0.752278372881717,
      0.652140681801064,
      0.159970636803716,
      0.430387808175612,
      0.33279835198794,
      0.331038142498528,
      0.728274689416401,
      0.668199389951867,
      0.967883235499745,
      0.867824809451454,
      0.15028867061834,
      0.45529363404534,
      0.406556284489197,
      0.225273904002989,
      0.136979072494795,
      0.424540966181987,
      0.125481927579898,
      0.589499061562844,
      0.736886790245117,
      0.613241632127063,
      0.582024488739304,
      0.271937899218932,
      0.226678274772909,
      0.776330149199605,
      0.589533022827517,
      0.151032703825774,
      0.468743789834814,
      0.268783160303324,
      0.398034536399258,
      0.741405261037673,
      0.662570781707507,
      0.990413862839896,
      0.756924036580777,
      0.147739030190694,
      0.538311048624032,
      0.426192117419063,
      0.397024671753654,
      0.190089000741642,
      0.380809787851075,
      0.205609482862514,
      0.738803017732368,
      0.784801619361098,
      0.825892687244247,
      0.553070663361149,
      0.228183619247211,
      0.319989062755631,
      0.778879481972867,
      0.503475352574849,
      0.186495341252948,
      0.531486661958717,
      0.26599481376211,
      0.479912705419179,
      0.762749103216226,
      0.831033921135314,
      1,
      0.623844492881184,
      0.154002446553347,
      0.540441450983172,
      0.452605338684015,
      0.331846889434789,
      0.22262928473435,
      0.341349440632849,
      0.228876244474765,
      0.761102247344525,
      0.792986930234212,
      0.843948670104082,
      0.479901269302112,
      0.177361263640945,
      0.417748406285102,
      0.760810023325799,
      0.458840050755299,
      0.171411109833543,
      0.121652509511169,
      0.187743321740653,
      0.135626122069395,
      0.218481146791335,
      0.570827439997126,
      1,
      0.603448786065545,
      0.184012796712832,
      0.745102173714674,
      0.714255937509505,
      0.687260973763844,
      0.340187787131547,
      0.342673866174637,
      0.290762079196898,
      0.582051316664232,
      0.430525768495495,
      0.24591091791034,
      0.407461437486983,
      0.177886274309631,
      0.433375840903799,
      0.55005014244268,
      0.577720496359527,
      0.392291825490806,
      0.565297311533527,
      0.212679995270724,
      0.431942937762148,
      0.608845464102327,
      0.58995144948391,
      1,
      0.508494649260645,
      0.20659057481623,
      0.787131590505331,
      0.696397270116953,
      0.643822118678797,
      0.38042200449629,
      0.288376533903492,
      0.339802069034227,
      0.55413937532752,
      0.383092160946663,
      0.247398717630526,
      0.408843678718365,
      0.158359692509816,
      0.487973807707561,
      0.533895541188657,
      0.591749599650621,
      0.302353489009789,
      0.356873725539865,
      0.364161020610255,
      0.188948880839485,
      0.170617173103507,
      0.623039464307573,
      0.982605787874548,
      0.185150191094667,
      0.0911963992936699,
      0.165790356761087,
      0.13441207926317,
      0.177756001690486,
      0.102454870880941,
      0.152693141172594,
      0.0909795786944884,
      0.227606397149703,
      0.185782094322798,
      0.202849213083377,
      0.388919652711745,
      0.275722786059732,
      0.257755598816359,
      0.372911074878794,
      0.362419386353371,
      0.30930363376452,
      0.536316099775992,
      0.450986638786757,
      0.251580816996159,
      0.372167298654933,
      0.729909688792568,
      0.998280895516002,
      0.348501030692336,
      0.379783632925651,
      0.435351793550877,
      0.421916659694418,
      0.173124390456165,
      0.376096410922249,
      0.17409849205485,
      0.471855180887865,
      0.757893625791192,
      0.691852331964583,
      0.750490170105227,
      0.36803028474241,
      0.122347605484416,
      0.657392683926804,
      0.79163866006275,
      0.290301824867358,
      0.255617518279035,
      0.451300049284004,
      0.193549635760936,
      0.703945754230303,
      0.748064190791504,
      0.842577852250411,
      0.98350000049625,
      0.239549118264354,
      0.445297756403362,
      0.77887311544368,
      0.727671382066484,
      0.448256177410306,
      0.463311048360926,
      0.187736755628834,
      0.481314082090259,
      0.583476864330818,
      0.270312184663757,
      0.263519176157956,
      0.335023704753181,
      0.200039379447566,
      0.62777711764328,
      0.545300322749734,
      0.554268137514332,
      0.429673042452832,
      0.390993361467344,
      0.285283488426892,
      0.476793427684311,
      0.534467426668736,
      0.889139067913714,
      0.930995689532721,
      0.177211238829755,
      0.509555184865014,
      0.753910218401641,
      0.775055113057236,
      0.371322819063473,
      0.476725670681901,
      0.176208849708902,
      0.509311020421446,
      0.548747167429893,
      0.254787054828687,
      0.28910592012991,
      0.340481025187826,
      0.223333270567406,
      0.595201617712313,
      0.545413277944711,
      0.53466129010936,
      0.190463368867459,
      0.510753811315496,
      0.230469609425234,
      0.198186636288691,
      0.205085433289321,
      0.946505842439704,
      0.995892143883586,
      0.523034159782143,
      0.463150314105816,
      0.298125786890485,
      0.350107061815712,
      0.379826085780695,
      0.324036151989589,
      0.398071774840537,
      0.326847634283616,
      0.363518769999617,
      0.412616440508139,
      0.444017793244486,
      0.388034221294565,
      0.345139111666251,
      0.332944538314963,
      0.359836022848209,
      0.379040479180558,
      0.309865217200366,
      0.21573481310972,
      0.361359149953503,
      0.27372051374057,
      0.305647800313139,
      0.34803969758311,
      0.402636753667377,
      0.725451127697729,
      0.811856337396701,
      0.897657761655437,
      0.896759458521198,
      0.450128101821166,
      0.859324034111699,
      0.311281999139765,
      0.333570303439997,
      0.199675011844318,
      0.158958596352906,
      0.192243565416443,
      0.167219295318195,
      0.151040731750433,
      0.162183469729683,
      0.129670698540693,
      0.1792582110664,
      0.220547797343329,
      0.502665100756022,
      0.702280279290176,
      0.670335111649217,
      0.683271119267693,
      0.65065288348403,
      0.662199278008377,
      0.714777770949122,
      0.759944183280773,
      0.668838472154272,
      0.592644584042744,
      0.704994693563872,
      0.684195499134371,
      0.674086923207553,
      0.455907181341441,
      0.124603913319839,
      0.518132654569376,
      0.433464790897564,
      0.200238647903051,
      0.253349724692187,
      0.290121310853195,
      0.189214509070953,
      0.621443741477092,
      0.578818350872392,
      0.671023035800219,
      0.540652614209438,
      0.217349254763891,
      0.348100526773658,
      0.653970879984207,
      0.373603332483748,
      0.174787087745707,
      0.560108404153154,
      0.193900906594359,
      0.427617085800039,
      0.60867581512697,
      0.574257710341049,
      0.561570793259944,
      0.319380139296706,
      0.153655684373138,
      0.510283927565579,
      0.37668721409691,
      0.179759195398829,
      0.30047758032608,
      0.241244078926562,
      0.228968724843926,
      0.623550797967734,
      0.56688327119262,
      0.696466136318181,
      0.488925530560605,
      0.162383878029806,
      0.417086163457019,
      0.643950902823255,
      0.327615890324892,
      0.193897088904379,
      0.552076758399001,
      0.173093940043069,
      0.473238555169012,
      0.598177297585859,
      0.592215450406316,
      0.542877300866524,
      0.30658021041599,
      0.164479910630259,
      0.400758888351123,
      0.349302758834824,
      0.258372688179423,
      0.320720753389222,
      0.237680885042214,
      0.238803240000921,
      0.559482853270653,
      0.565985493046801,
      0.640481763538238,
      0.500522273701768,
      0.152087706337487,
      0.479109126714686,
      0.673039331300857,
      0.306197760116136,
      0.208086286619352,
      0.505065197508323,
      0.186507551368799,
      0.511449006378296,
      0.60793899771451,
      0.671404626307939,
      0.480269894692448,
      0.24791501083661,
      0.229706414226553,
      0.36508499708856,
      0.334242381214671,
      0.245953398873109,
      0.370275233312386,
      0.197028136074635,
      0.272359566834533,
      0.542768241191275,
      0.603306068831965,
      0.576237928302539,
      0.453917795740788,
      0.143589381554758,
      0.53422628818949,
      0.641221881379652,
      0.266926430544696,
      0.139121333278375,
      0.204415081171367,
      0.155462856201386,
      0.120208840931117,
      0.133422102353032,
      0.355060551018789,
      0.372739244227279,
      0.212373992605838,
      0.324891624682539,
      0.798664112801377,
      0.592655619527988,
      0.450320479080691,
      0.372532193280262,
      0.149175160324253,
      0.403728665244406,
      0.464731830003726,
      0.212293735780526,
      0.201710461827158,
      0.486679801791784,
      0.183144868084498,
      0.554045936706603,
      0.530874803285979,
      0.570782038915357,
      0.188594252794321,
      0.490944760664203,
      0.275675221363364,
      0.226482192872815,
      0.145307896641618,
      0.25927002306076,
      0.410702186268921,
      0.165720617046812,
      0.419245700906595,
      0.765315345110108,
      0.61048013094613,
      0.379119115236589,
      0.391782319173654,
      0.142481620291439,
      0.422061847004349,
      0.485893857979681,
      0.187137994625981,
      0.213296100268695,
      0.419109854876027,
      0.201681749113169,
      0.567015310203794,
      0.527227317457984,
      0.54624242542506,
      0.14787942012306,
      0.533539754698497,
      0.266746895213595,
      0.256779467382955,
      0.147261165765114,
      0.271165986679695,
      0.399703987324586,
      0.102535432825815,
      0.354918295424615,
      0.306237087159064,
      0.188743988118037,
      0.111032813280681,
      0.362232680397355,
      0.102525130818106,
      0.394389665120641,
      0.57895869605199,
      0.434461500832657,
      0.526792871853301,
      0.398736059448468,
      0.177155777020044,
      0.623417743920483,
      0.577346092892782,
      0.166584939442367,
      0.424082292503359,
      0.405237070850683,
      0.337191888948103,
      0.589108617435797,
      0.514171657837793,
      0.635856555723151,
      0.436535295453662,
      0.0966215856473235,
      0.384636558923464,
      0.32980234249545,
      0.158235434334483,
      0.128318274366387,
      0.351261856368663,
      0.106879975728005,
      0.439851359191822,
      0.576202278248832,
      0.471479256094378,
      0.508370929636513,
      0.302491344869223,
      0.222254379009313,
      0.638575733831857,
      0.517743262421993,
      0.160635128463252,
      0.461098484421941,
      0.339643787522133,
      0.388245376016513,
      0.606770511419148,
      0.504705441177983,
      0.618255907716306,
      0.416789361407502,
      0.0995688123029015,
      0.448064818863718,
      0.350788712125442,
      0.24119981372441,
      0.130053246954542,
      0.291800789900451,
      0.156454989531212,
      0.562905671272791,
      0.565889411297972,
      0.588390820743699,
      0.457520374275559,
      0.282460868036512,
      0.294867585210343,
      0.619523161167175,
      0.457563931089838,
      0.175779222027336,
      0.531040874835979,
      0.346182677897918,
      0.412969031978302,
      0.648607508250835,
      0.642752661699714,
      0.59928767740813,
      0.358565125366563,
      0.100568046447471,
      0.46241954899295,
      0.365543744492273,
      0.206488744787839,
      0.168356561373024,
      0.249756166819427,
      0.183678727197503,
      0.57892839084276,
      0.55862675391315,
      0.625253140219993,
      0.448456344734707,
      0.214971972838172,
      0.354584388865527,
      0.623907876652247,
      0.417760557487963,
      0.159744710082249,
      0.200919779524118,
      0.289995045775769,
      0.192421671630482,
      0.272420946994784,
      0.347772590645331,
      0.23751897984455,
      0.388701116406916,
      0.141744200136583,
      0.717816660830494,
      0.659665510373585,
      0.598993910617937,
      0.263042704227432,
      0.263133853462637,
      0.272761026146444,
      0.468080421263969,
      0.348700013237766,
      0.193870161038381,
      0.434840563066852,
      0.216145230219851,
      0.450248401466671,
      0.550503378197943,
      0.556004771490651,
      0.353429195918309,
      0.528045037653523,
      0.22191068930531,
      0.429921908531447,
      0.552408540704285,
      0.294691598767092,
      0.274051400303766,
      0.34082017513852,
      0.188879019369458,
      0.755631335700845,
      0.628647259010722,
      0.55100166472262,
      0.309299171944566,
      0.215702262764631,
      0.306067012157685,
      0.45316326315444,
      0.295031299410286,
      0.20479613794761,
      0.467813777457004,
      0.175888794963345,
      0.501847670879852,
      0.522707016832489,
      0.569829328998952,
      0.263372035121556,
      0.345686060211926,
      0.358673676278934,
      0.244775738839976,
      0.173258558993612,
      0.260077468109206,
      0.21564138920408,
      0.063318511966647,
      0.0547469763094831,
      0.101660103467592,
      0.0820105612127186,
      0.135387008003158,
      0.080079045841613,
      0.168692825325484,
      0.0632842315359055,
      0.185505593229788,
      0.0994535183010591,
      0.16374882614202,
      0.449453304844333,
      0.2995109005449,
      0.247108952243326,
      0.366792970098636,
      0.424058514115193,
      0.311645004045699,
      0.533717105587715,
      0.52153142778405,
      0.256324562003883,
      0.311105373337276,
      0.560114637839585,
      0.502181316739297,
      0.236600162501746,
      0.323094036639009,
      0.362831921207018,
      0.339079422569799,
      0.119077368932639,
      0.307572036358753,
      0.118065547559677,
      0.373316034784546,
      0.595219318751728,
      0.462288680922122,
      0.555339878548856,
      0.45012132812437,
      0.145436664107315,
      0.570617415241524,
      0.683939427471303,
      0.240048542351648,
      0.25558519993862,
      0.421068508210872,
      0.20717897456986,
      0.575817850607567,
      0.565522493668879,
      0.59391689025651,
      0.480180636332558,
      0.167090173829396,
      0.412377063816156,
      0.759083901318154,
      0.608341232983422,
      0.384863193978855,
      0.390875241996125,
      0.148409625983411,
      0.419676871122067,
      0.485201501495876,
      0.198286059986862,
      0.209135768599563,
      0.398876991984537,
      0.209794215891513,
      0.634469632196564,
      0.536871273996572,
      0.545605948980392,
      0.361300948489995,
      0.385036220789577,
      0.287892303427667,
      0.457230928575829,
      0.471158971318965,
      0.263151088675778,
      0.437563470033809,
      0.144034799121183,
      0.481741856443479,
      0.711180598457287,
      0.64883047744739,
      0.303857446019593,
      0.391957374256379,
      0.153748624090034,
      0.44436827115334,
      0.448025659234738,
      0.183100227635233,
      0.256394252999288,
      0.418516182202281,
      0.225261077023877,
      0.597914216579521,
      0.550416888336834,
      0.505372879289329,
      0.150313243079896,
      0.501503619310593,
      0.240213460188984,
      0.243937333712778,
      0.152728352896185,
      0.25933353936193,
      0.27947918639612,
      0.394348799887367,
      0.463448059111051,
      0.313279817708038,
      0.327458795931397,
      0.371310828188554,
      0.27157484421064,
      0.356481341548041,
      0.292262687099604,
      0.323391650267781,
      0.401496969192951,
      0.379832298802051,
      0.349571969163909,
      0.347403883252737,
      0.317221985565538,
      0.364321843266082,
      0.31474669579095,
      0.261613372743175,
      0.185886872198191,
      0.287910694350991,
      0.223815834704098,
      0.2919037156585,
      0.30954444279793,
      0.43839796894801,
      0.692261434334922,
      1,
      0.97445361770054,
      0.878732503332207,
      0.430742293421951,
      0.817708083640381
    ],
    "tonnetz_curves": [
      -0.0220452516497789,
      0.0759543126567389,
      0.123242056000856,
      0.132041266046872,
      0.103044131783383,
      0.118063114042372,
      0.130076460640892,
      0.109345146630084,
      0.143165574041001,
      0.0925604558957398,
      0.124155219353019,
      0.0856545247817694,
      0.0217928873446573,
      0.0381451043880001,
      0.0127377696810466,
      0.0233710905478307,
      0.0259063300310007,
      0.0147859323321341,
      0.0178684634636817,
      0.027785675052539,
      0.020683566375465,
      0.0119047044823342,
      0.02550002325506,
      0.0220463772858082,
      0.073517469905349,
      0.201657859842721,
      0.0740826884694261,
      0.0815624136820373,
      0.161279120263295,
      0.190248175751559,
      0.0327137175359182,
      0.135921082572219,
      0.00307727587390739,
      -0.032972920997736,
      0.0256225457174843,
      0.0610485572476701,
      0.0297769773965509,
      0.0514946561076393,
      -0.044155555384087,
      0.000264916099561272,
      0.115381373749393,
      0.0165417879018634,
      -0.0475797031008646,
      -0.0352875545967162,
      -0.0318572274944316,
      -0.00802080686368865,
      -0.0633005698077007,
      0.0741274382132874,
      0.187933609986239,
      0.0842842838940607,
      0.0974494154638992,
      0.161713578489149,
      0.168669533675593,
      0.0476498335571764,
      0.113530196264743,
      0.0100415093415965,
      -0.0343905221114056,
      0.0236647319876692,
      0.0748800564668933,
      0.0577164850982449,
      0.0248829738198231,
      -0.0465269250256629,
      -0.00112697150617715,
      0.119928357065337,
      -0.00136890171561521,
      -0.0339007010955554,
      -0.0445193775903644,
      -0.0332622463216965,
      -0.00661719265943756,
      -0.0769758965557546,
      0.0948350993646179,
      0.161156892756407,
      0.104590041425352,
      0.0527156325883381,
      0.213270385799468,
      0.145091351525198,
      0.0960760794582201,
      0.108936683325264,
      -0.00284641648629848,
      0.00675929073772041,
      0.0243287925660169,
      0.0558547226125457,
      0.0674044999526014,
      0.0115034341541887,
      -0.0332713706705487,
      0.0519487399776431,
      0.104522811793466,
      0.00260953476015026,
      0.06053447553959,
      -0.0338112662513989,
      -0.027591685815756,
      -0.00383417507242374,
      -0.0579726888802322,
      0.126574118921363,
      0.125233834377849,
      0.108024389506753,
      0.056600803873073,
      0.221214916373553,
      0.133036471713336,
      0.112913635339568,
      0.0883511142717075,
      -0.000204953795765914,
      0.0181754738761285,
      0.0289564058019913,
      0.0714327636773307,
      0.0742606499721643,
      -0.00969503632440498,
      -0.035210957574067,
      0.0575210608446404,
      0.139115746427273,
      0.0416343717077409,
      0.0682072298635442,
      0.0433685314929356,
      0.141488192904688,
      0.0028355924134532,
      -0.117746000632068,
      0.174361765434012,
      0.111085231617404,
      0.024895006642665,
      0.0456937573757409,
      0.0958227165876909,
      0.103705720255248,
      0.144642203939327,
      0.0898370624446855,
      0.0496482121781521,
      0.169065014874827,
      0.242747921388569,
      0.0473617681992834,
      0.100525980060625,
      0.0253671687184833,
      0.0289541787407019,
      0.0458571118565154,
      0.114045943093233,
      0.0328804882517528,
      0.0765873017572919,
      0.0840856692603976,
      0.123639928325756,
      -0.0793763080993066,
      -0.0877778234649005,
      0.198967053272641,
      0.0839883894078387,
      0.0250983608149912,
      0.039286947851047,
      0.117854143773066,
      0.0899654477971064,
      0.15127188520423,
      0.083129773543199,
      0.0502057615499549,
      0.180538425106248,
      0.229379216731457,
      0.0596959628573361,
      0.0995607946155545,
      0.0232831406094576,
      0.0390991000884204,
      0.0495498213067222,
      0.108429569651723,
      0.0337570667799183,
      0.0841875401448417,
      0.0904863098346094,
      0.116647426870798,
      -0.11867856783181,
      -0.0756343821880565,
      0.178169638653256,
      0.0810028415887949,
      0.0915387337151341,
      0.0859583962719929,
      0.262442510620316,
      0.0822922331332002,
      0.172267619998159,
      0.027797266752636,
      -0.00332646362073689,
      0.027781378513738,
      0.0411321565013269,
      0.0252235450421769,
      0.0899274212843062,
      -0.0274820363959173,
      -0.0219220946717934,
      0.125331430543667,
      0.06400943103382,
      0.0750579623134734,
      0.0647943812672751,
      -0.0483934675105945,
      -0.0297903276974586,
      -0.0507566442036982,
      -0.0229035234862745,
      0.194161950761616,
      0.0656626469805696,
      0.0865497150641119,
      0.095986748588641,
      0.265665623395849,
      0.0671500973438122,
      0.186431024148678,
      0.00505360283432491,
      -0.00875503586212944,
      0.0262946804381792,
      0.0466223547767264,
      0.0509042214742415,
      0.0939797420422948,
      -0.0376118888654006,
      -0.00991081154060277,
      0.119635535103698,
      0.0601201245631553,
      0.0851241159030064,
      0.0453604639705245,
      -0.0480576768449866,
      -0.0275217558471677,
      -0.0621734267755806,
      -0.00458976943635395,
      0.152705337569237,
      0.0658908642873852,
      0.0973974440373087,
      0.131280461710874,
      0.28367629521126,
      -0.00435538920789826,
      0.10243380973856,
      -0.00590008094238569,
      -0.0196797402934217,
      0.0116493767116527,
      0.0677675879349188,
      0.050331574197202,
      0.0547789193727569,
      -0.0235044968349986,
      0.0132975169756009,
      0.101240286430414,
      0.0428675140927695,
      0.0524092274700424,
      0.0105180393356297,
      -0.0265117551819857,
      -0.0176477217824567,
      -0.0610225868939825,
      0.0332996140690064,
      0.144983439325882,
      0.0749849909492581,
      0.0876528818864175,
      0.161748576202271,
      0.258707057864968,
      -0.0138267177303401,
      0.107046734582819,
      -0.0078460871200501,
      -0.0223333804422547,
      0.0117904361989912,
      0.0786111203423113,
      0.0701466604157139,
      0.0384291425351658,
      -0.0250953669473175,
      0.0179701723215376,
      0.111776275012027,
      0.133404389683668,
      0.0674172273746229,
      0.0572538924434144,
      0.10407890868146,
      0.0678898428329734,
      -0.188233787125496,
      0.0753584307124421,
      0.188648132379281,
      0.0319304506455174,
      0.0406959573344973,
      0.0493387535672693,
      0.145471257087448,
      0.09435472757338,
      0.141287683099483,
      0.050287399081834,
      0.115104991754311,
      0.235059234931047,
      0.101453669832435,
      0.0920348939506136,
      0.0434416443027635,
      0.0270539940151659,
      0.0436099800779157,
      0.0684904459369913,
      0.0214366414332669,
      0.0869908583724553,
      0.0578768934142418,
      0.00732473384409159,
      -0.00533784590218817,
      -0.160108249091039,
      0.109302253319597,
      0.165295487389895,
      0.0242484802067447,
      0.0448581336858362,
      0.0589908687992172,
      0.133215125180825,
      0.118909684079701,
      0.120848240737603,
      0.0532723447489632,
      0.137660324456556,
      0.241201004613054,
      0.0840310753959814,
      0.0982747276648519,
      0.0381521847158192,
      0.0273735007116709,
      0.0387953184263708,
      0.0960946637155784,
      0.0612273195722852,
      0.0728531693023655,
      0.0899691471403018,
      0.114872422519217,
      -0.00030852133659245,
      -0.190415742766438,
      0.337964604841509,
      0.365066770601967,
      0.246393714650514,
      0.228410473930941,
      0.182918153931645,
      0.258751657460618,
      0.19218287703448,
      0.286745525689214,
      0.144725079093414,
      0.28591881133311,
      0.301165376111827,
      0.0580933010352876,
      0.0636081505867855,
      0.0658637407896802,
      0.0401797452859339,
      0.0797710547613005,
      0.0720400658456584,
      0.0204811092961483,
      0.0464962262033404,
      0.0971919301306966,
      0.0838221767556971,
      -0.0321677790914125,
      -0.108750564334948,
      0.197006096908746,
      0.12730219464831,
      0.10687027702122,
      0.10195104717987,
      0.261189262267084,
      0.134792529094075,
      0.164270657359104,
      0.075819617135438,
      0.00887827178703135,
      0.0220813409558757,
      0.0527216660499753,
      0.0467950609813766,
      0.0707574366830117,
      -0.0102257398644152,
      -0.020858915736717,
      0.0838137156526216,
      0.119689235833295,
      0.0670320951208452,
      0.144112815067444,
      -0.0188403858556861,
      -0.0335693724550258,
      -0.000327452802317614,
      -0.0615941379857018,
      0.1924599299401,
      0.0877315083454606,
      0.0273390300997285,
      0.0391062841422869,
      0.112986876530335,
      0.0884747320736339,
      0.150937002611053,
      0.0819670079006863,
      0.048590037263735,
      0.183133720277563,
      0.233613253964757,
      0.0701403518702128,
      0.0934778658267507,
      0.0136539839417869,
      0.0320833948425151,
      0.0518690316887621,
      0.0521559598954873,
      0.0481233050229905,
      0.0828225622179743,
      0.0374375723784262,
      0.00787322309045912,
      -0.117292735521429,
      -0.053081184281059,
      0.209493150370041,
      0.0662298081002762,
      0.03338616967695,
      0.0301006552319599,
      0.134982137906506,
      0.0723744725401439,
      0.159432602486142,
      0.0720145069729682,
      0.0534340706744685,
      0.193913983899892,
      0.212994639853558,
      0.0476270654128484,
      0.0921228644106784,
      0.0182605781696303,
      0.0337107639828209,
      0.0524937855864856,
      0.104347648478737,
      0.0435920662030669,
      0.0933068339703233,
      0.0805098978813973,
      0.114566468460817,
      -0.151162161767107,
      -0.153115088901328,
      0.0641666861627796,
      0.0546864316298763,
      0.113057188244786,
      0.0779797278006538,
      0.0638567018854035,
      0.111915536742052,
      0.059516178400996,
      0.0968912028092263,
      0.0828444036521581,
      0.0174703679615109,
      -0.0645863286260108,
      0.0301061367289221,
      0.045380157839195,
      0.0485509072976296,
      0.0598873344802357,
      0.0616821960213126,
      0.0994621227375959,
      0.113433768781951,
      0.0865053059292757,
      0.0896867794130718,
      0.0525101824633384,
      0.0349549199338191,
      0.0513908496800451,
      0.0468357919856585,
      -0.0221150306700245,
      -0.0411992447412822,
      -0.0777495569102532,
      -0.0102663789438656,
      0.00758084599043756,
      0.0132233332603469,
      0.0578734835334027,
      0.0827299135013269,
      0.0965549898045618,
      0.0869457135604027,
      0.107231069367729,
      0.0926061944792248,
      0.076622563928462,
      0.0895184200063906,
      0.0890300708099671,
      0.0628359980204813,
      0.0233450049654718,
      0.0118024971785491,
      0.0237801361538868,
      0.016637427309789,
      0.0241648832937646,
      0.0232505167169715,
      0.00877940949887046,
      0.0123328085193062,
      0.024308465380022,
      0.0205459992782072,
      0.0139740396822785,
      0.0205060129874309,
      -0.00366935962702307,
      0.0576686020092625,
      0.144695688637575,
      0.0502190942256849,
      0.0303892542115977,
      0.126665947874375,
      0.117938878274817,
      0.0496430592536849,
      0.125051606567806,
      -0.0115225859876325,
      -0.0208071756311472,
      0.0283073390081329,
      0.00871337659112223,
      0.18612473685187,
      0.0913124099989941,
      -0.0337312162015209,
      0.0391387388620225,
      0.190730064327119,
      0.0430876673316343,
      0.124653693435107,
      0.066411714234912,
      -0.0332681081823126,
      0.0101485646620136,
      0.0436485401909193,
      0.0926006478685368,
      0.124712431833774,
      0.0607283620329859,
      0.0444133998478999,
      0.134276270423918,
      0.0995165544334744,
      0.0653474839077273,
      0.108175014875229,
      -0.0129838216734643,
      -0.0207882974774792,
      0.0334053465951072,
      0.0260334402255903,
      0.231594571050826,
      0.0620211501399754,
      -0.0484825894195318,
      0.0488704590696039,
      0.189745831413426,
      0.0402356751254369,
      0.148899163394594,
      0.0366256868154738,
      -0.0319250076441608,
      0.0141156503622544,
      0.0554694607034699,
      0.0818834436403554,
      0.114682713397561,
      0.0687123563147813,
      0.0558069657988995,
      0.107971531016431,
      0.0944747725993489,
      0.0674157442674978,
      0.0718072716947471,
      -0.005833998923794,
      -0.0116257387430578,
      0.0243953961926147,
      0.00534464008540685,
      0.150794617451145,
      0.0217073239500974,
      -0.0317820427004341,
      0.0586326770347222,
      0.167527844289108,
      0.0308031088137375,
      0.141154076743837,
      0.00903047290714648,
      -0.0288227598865001,
      0.0245166199876755,
      0.0538101751543122,
      0.0993223595373771,
      0.0885545566395996,
      0.0745962004416098,
      0.0596419282133437,
      0.120357166490976,
      0.0757836530902769,
      0.0765196493423043,
      0.048636912080708,
      -0.000310239616344539,
      -0.00725473561062159,
      0.0227858739497867,
      0.0379521911825105,
      0.165122286625876,
      0.00560386192364778,
      -0.0462444798017626,
      0.068287445414831,
      0.245558778400403,
      0.152195458715568,
      0.171862952758278,
      0.205987788764912,
      0.217627803577256,
      0.130739279732175,
      0.101397301152911,
      0.114045347015772,
      0.0798102540059996,
      0.0124120425018817,
      0.0422829246644368,
      0.0641566274950778,
      0.0647360934204264,
      0.0957819443633491,
      0.0473678915357799,
      0.0609163410292702,
      0.105474844043469,
      0.0139744760531913,
      0.0242035038552565,
      0.201540056900196,
      0.0645527599895532,
      0.0668980950673652,
      0.06405010512701,
      0.227552554343926,
      0.0656689834584801,
      0.126750155389748,
      0.141966894957016,
      0.235497804698222,
      0.180181761473686,
      0.0904248590700626,
      0.124465546712205,
      0.0704589598695485,
      0.0148652999688052,
      0.0416727639394604,
      0.0784551705682903,
      0.054478671570399,
      0.103321440552679,
      0.0502241896796051,
      0.0609911915519496,
      0.0980944675400621,
      0.0135215361034146,
      0.0649482929938096,
      0.211180242011147,
      0.0620531535129563,
      0.0736811558992534,
      0.0739625626089759,
      0.238634728045361,
      0.0491714128577515,
      0.134864420985976,
      0.142701488700367,
      0.236018717310152,
      0.172307670821861,
      0.0734739650314861,
      0.156122434687719,
      0.026456908307817,
      0.0733844422633284,
      0.0857718848337272,
      0.162621875739019,
      0.04470940293122,
      0.0692152302293088,
      -0.0239052508754669,
      -0.00226523584006068,
      0.0292804532942825,
      0.0142533607873589,
      0.0876885406813924,
      0.162796680666182,
      -0.0316268968467757,
      0.00192335157451903,
      0.175768531817852,
      0.113243302235053,
      0.0862739336430371,
      0.103759677416077,
      -0.0448136853599243,
      -0.00539370366740116,
      0.0375497790413153,
      0.063149008899947,
      0.157889051070705,
      0.020372229453135,
      0.0699147456382561,
      0.0940250287358209,
      0.154054276985663,
      0.0365753694772451,
      0.0688557309924083,
      -0.0359015527243275,
      -0.00131179516105038,
      0.0331846506644844,
      0.0137339914091179,
      0.142701057611165,
      0.144075673227489,
      -0.0363618384797677,
      0.0105730369425789,
      0.183990386391785,
      0.0932032793312512,
      0.10122510422275,
      0.0801613544627511,
      -0.0419079263233636,
      0.00200042886417809,
      0.0408473775248417,
      0.0657831322757594,
      0.130078531429726,
      0.0467756466563508,
      0.0561136222646516,
      0.0866508496713427,
      0.153609323834139,
      0.0437720333463041,
      0.112702539441331,
      -0.0139196483756467,
      -0.00406130694809449,
      0.0262325769547687,
      0.0108986806892683,
      0.110213355861583,
      0.117257949454183,
      -0.0240767597161008,
      0.0252284870374141,
      0.159057956461592,
      0.0755773229113117,
      0.118981612187448,
      0.0716081274486143,
      -0.0374489497419997,
      0.0130390895327248,
      0.0402913234374807,
      0.0593683753810011,
      0.126756482223388,
      0.050915215145191,
      0.052616833742326,
      0.0943399896627777,
      0.141678508223239,
      0.0522594593857236,
      0.102647876809688,
      -0.010811501115173,
      -0.0140206764026942,
      0.0234334587436047,
      0.0212536712287556,
      0.150583793865242,
      0.0970366818652876,
      -0.0321491522661614,
      0.0357757339224697,
      0.182706955835749,
      0.227656986907662,
      0.143389577141535,
      0.213551331508663,
      0.158237580462675,
      0.185646625217851,
      0.169313810795179,
      0.0663767855261898,
      0.1244224350446,
      0.0257945155866265,
      0.0231528773346408,
      0.0400148577367576,
      0.0998786474412814,
      0.0670034102854915,
      0.0792158279094195,
      0.0584693531128472,
      0.0888625903384952,
      0.04303498778392,
      0.00304780393058821,
      0.168575099461356,
      0.104185250506629,
      0.0643518078259514,
      0.0708993361818108,
      0.136332928394779,
      0.0447985486392568,
      0.147108950813367,
      0.0870876125377434,
      0.0257196155559702,
      0.133661361216378,
      0.150838176808563,
      0.0798969530896723,
      0.106520527486552,
      0.0217825488695254,
      0.0329686841631136,
      0.0519565134154856,
      0.0882946660081288,
      0.0833776317393387,
      0.0642121677769635,
      0.0605776435754103,
      0.0999655729499353,
      0.0304753897790667,
      0.0157192350643521,
      0.198032136208186,
      0.0912852544303782,
      0.0663150894334821,
      0.0616007781385257,
      0.1839059445659,
      0.128488081342753,
      0.117033705569758,
      0.153269838416094,
      0.194885904687812,
      0.188877293633638,
      0.159991119322906,
      0.232731802689499,
      0.208960068717618,
      0.162583051884846,
      0.103152399126769,
      0.0912376097632424,
      0.197273012866585,
      0.122727498905962,
      0.211222755983199,
      0.0682421748453434,
      0.144886022913895,
      0.0493784705580259,
      -0.00213091855575824,
      0.113024516485234,
      0.0577121939481829,
      0.0687432217215329,
      0.123668868892866,
      0.125796721771237,
      0.0391378331569033,
      0.051209292967101,
      0.15804359127212,
      0.119176854396206,
      0.0334390831114766,
      0.0514427866722069,
      0.0789230536326133,
      0.0630823864245995,
      0.0612831157901603,
      0.0602771602800487,
      0.158854721658044,
      0.0729986400259211,
      0.0763965582535462,
      0.0245162956265907,
      -0.00159402115199866,
      0.00612786018327656,
      0.0142511584636601,
      0.0269716958807543,
      0.218426016441996,
      0.00163666731690074,
      -0.0256800054867847,
      0.117148399230833,
      0.184120735303805,
      0.0506101080180357,
      0.180990120115808,
      -0.0236637840155305,
      -0.0200332347748735,
      0.0252071135489004,
      0.0641220671380387,
      0.121927348377434,
      0.0709940466881185,
      0.0119926772348189,
      0.0411711629198911,
      0.0800911547203606,
      0.0537897690635154,
      0.100352239041479,
      0.0458364361738643,
      0.0594313814190455,
      0.0999610540376466,
      0.0179798198674809,
      0.0881876522369155,
      0.207331161078895,
      0.0434520790611649,
      0.0688321410637439,
      0.0727896077625534,
      0.123221217079136,
      0.0802330518322069,
      0.134260614278174,
      0.0687458125498478,
      0.048708438995627,
      0.175338476477086,
      0.0782888394834641,
      0.12793220933381,
      0.0566247741721763,
      0.019726861494729,
      0.0377160849588506,
      0.0907826427075202,
      0.0441968297226985,
      0.0963838073731749,
      0.0495590500544542,
      0.0633456852517975,
      0.0908710311465865,
      0.0064637727852522,
      0.0700961958365585,
      0.186506518937697,
      0.0492971429898661,
      0.0634468082525004,
      0.0845256875234218,
      0.229704731118082,
      0.0650004615716478,
      0.148784709695731,
      0.142926606484637,
      0.233327012023816,
      0.168348694121147,
      0.14166505081613,
      0.0601782085491669,
      0.0517126992045236,
      0.0885423085283462,
      0.066606751401615,
      0.0565822028090606,
      0.0869274049654371,
      0.048272816198325,
      0.0834577329653297,
      0.0707814510504402,
      0.0063238206423579,
      -0.0672890209324153,
      0.0847120902116899,
      0.110067734200731,
      0.10428087958342,
      0.0697015687527084,
      0.0346515921979792,
      0.0523420249950425,
      0.124844364682951,
      0.0778924051651428,
      0.0799551056696147,
      0.0182690403886289,
      0.0920728476162447,
      0.0203918734145279,
      0.00608868845945062,
      -0.0467304064708169,
      -0.0542627393308767,
      -0.00474656122186037,
      0.0810447726135013,
      0.0114236231555902,
      -0.0772715135953472,
      0.0271765187154236,
      0.0252411447835556,
      -0.00548229296030816,
      0.00163460265842253,
      0.012514924848469,
      -0.0187383868551545,
      0.0280732113089208,
      -0.00870284647829285,
      0.00244635636995559,
      -0.0494240386804663,
      -0.0597871438427629,
      0.0189135343079178,
      0.0545029705255552,
      0.038604886860525,
      0.0436879699059368,
      0.0566526457615921,
      0.0351823776026004,
      0.0273993299858794,
      0.0518558338016956,
      0.0537328257278225,
      0.0302592930201915,
      0.0407683945373282,
      0.0286712140688444,
      0.0285460144370367,
      0.00760540213140409,
      0.00237489625718615,
      -0.0315017520704107,
      0.0547983511695052,
      0.0481833199955862,
      0.0552627275082389,
      0.0152705001430902,
      0.021570785593376,
      0.0350530189407769,
      0.0191158064535684,
      -0.0256430792742645,
      0.31307565686525,
      0.143762302622062,
      0.0417896162736761,
      0.0837488896139958,
      0.291863173361132,
      0.0708946190436158,
      0.288859093919122,
      0.14906956117947,
      -0.000913541792581273,
      0.0567804245228344,
      0.0566846326090375,
      0.0329107931730769,
      0.00123405508274511,
      0.00910695049942034,
      -0.0185326998366019,
      0.06510508702521,
      0.0398788732116907,
      0.0530138916620447,
      0.0260225953288229,
      0.0229455865814532,
      0.031053194561793,
      0.0196112896880674,
      -0.00661677408945816,
      0.34633516664349,
      0.119219203140374,
      0.0176334166718913,
      0.101222851402149,
      0.282030242056349,
      0.0854970261220877,
      0.302004568921155,
      0.11717403986293,
      -0.00114405550538519,
      0.0649903539065731,
      0.0638676258255302,
      0.0505488088775022,
      0.0437507274508337,
      0.018139074136555,
      0.0482088181984805,
      0.000067089942485545,
      0.00553942561037848,
      0.0132238784335007,
      0.0127532217577315,
      0.028903064375194,
      0.00654436830604879,
      -0.0143061774704229,
      -0.00784592365044909,
      0.292174865418101,
      0.0689909188976104,
      0.0363328580574714,
      0.128338629901594,
      0.212471448990305,
      0.0911779985328066,
      0.214792300655677,
      0.0735409690977963,
      -0.00155452338225725,
      0.058328848069123,
      0.0168479543017933,
      0.058882060088312,
      0.0404333081695489,
      0.0190611001404526,
      0.0516983820668564,
      -0.0189886594064839,
      0.00306355835372395,
      0.00946910937459844,
      0.014863216387063,
      0.0345539866179056,
      0.0108464450787142,
      -0.0298755814744517,
      0.0241707086078692,
      0.303845674095316,
      0.0496769141994005,
      0.0154702521524296,
      0.151151449721424,
      0.280474073427266,
      0.244623590729039,
      0.25556230679393,
      0.323704699217968,
      0.297152932611033,
      0.110278007801648,
      -0.0154881236873906,
      0.00514861676251282,
      0.00966369581255165,
      0.00310388112399197,
      0.0262546555340252,
      0.0152118513903654,
      -0.00106860307158067,
      -0.00349108202372664,
      0.0115334248929342,
      0.0386049348850454,
      -0.00378262534984153,
      -0.223431100425459,
      0.0404186182893688,
      0.257576070101981,
      0.07356685286391,
      0.0797835625549244,
      0.0642696295985047,
      0.281188946241491,
      0.0941354240815877,
      0.16891144867892,
      0.206483696901185,
      0.321699091013866,
      0.156895167191915,
      0.014472767352136,
      0.000856650220638917,
      0.0213208526295181,
      -0.00200051827753611,
      0.0329790726172755,
      0.0219080294296138,
      -0.00503352865957742,
      -0.0000808444873965745,
      0.0098381715619083,
      0.0403784631523436,
      -0.0368651712929032,
      -0.215375134658952,
      0.0886560497326668,
      0.262319901432884,
      0.065987271241642,
      0.0832621568971107,
      0.0667608705363514,
      0.303868572286489,
      0.0701779764608415,
      0.19062710472234,
      0.210864557040334,
      0.324837782532443,
      0.125563759738242,
      0.0255557735952347,
      0.0914684532860915,
      0.00366927244777679,
      0.0395260505015261,
      0.0721121295409767,
      0.00743482265236717,
      -0.00435564563215661,
      -0.0644996683209742,
      -0.0483384734394812,
      0.0193229235753976,
      0.0313785580598267,
      -0.0206510500888887,
      0.168395650510185,
      0.273890247452976,
      0.0264470329175792,
      0.0708128060997538,
      0.24568315821729,
      0.140066300379673,
      0.117497247463396,
      0.109447344921682,
      0.00113897685740681,
      0.0521641394292757,
      0.0961610086190383,
      0.0187075226939995,
      0.0870272879069693,
      0.00564257080890837,
      0.0323636414668188,
      0.077870621957904,
      -0.00306733349709035,
      -0.00301865676211877,
      -0.0629973543984491,
      -0.0476331349381548,
      0.021573728810404,
      0.033152545137433,
      -0.0205037062649982,
      0.223867316594391,
      0.230808850704237,
      0.0267565778235253,
      0.0706210323905199,
      0.259180016312743,
      0.11010459272861,
      0.147084921389871,
      0.0831788840710909,
      -0.000409532988354407,
      0.0644503838982033,
      0.0922402779913658,
      0.0454077101503726,
      0.0927423664551495,
      0.0403578660494469,
      0.0133191833056801,
      -0.0133521908596948,
      -0.0355269873571664,
      0.0700912018227257,
      0.0589887762713762,
      0.0204329583183833,
      0.0214451609902519,
      0.0252029404225695,
      -0.0561336907939078,
      0.218378264423726,
      0.12700761228304,
      0.0197228129869762,
      0.0771412483184407,
      0.255412956771524,
      0.0969273167736005,
      0.236354978814246,
      0.150112989040752,
      0.0120415435057723,
      0.0502031339081631,
      0.0593867976737542,
      0.020042385827277,
      0.0856977420365236,
      0.0290292888024981,
      0.0131324095676697,
      -0.0223399242329788,
      -0.0182220511897143,
      0.0923832073614789,
      0.0457870143883397,
      0.0230131519532648,
      0.0204264144523333,
      0.0242558202207356,
      -0.0470689349658883,
      0.262827862949451,
      0.0873823245612957,
      0.0104357604445602,
      0.0998115313127013,
      0.291119224150306,
      0.262903823058559,
      0.277465029199127,
      0.361686739817531,
      0.228893774847902,
      0.210137057413905,
      0.0579811728589137,
      -0.00270331438372694,
      0.0162869742547064,
      0.00592034876628581,
      0.0144572199345152,
      0.0145983900736576,
      0.0120857426153713,
      -0.00221078577978129,
      0.00320418911306566,
      0.0309681198691922,
      0.0357887945452383,
      -0.186540900296992,
      -0.0738572516236238,
      0.23563991534813,
      0.126318468186462,
      0.0726018440843165,
      0.0684843053124105,
      0.162886813522016,
      0.0680363666467193,
      0.180782863041654,
      0.0987491274930542,
      0.0304800138420936,
      0.179404897108674,
      0.0470265274286217,
      0.00552292093665925,
      0.0151420473533025,
      0.00322848636440487,
      0.0204690167931498,
      0.0160788367417268,
      0.00918216574028165,
      -0.00569517162498962,
      0.00662070931282393,
      0.0323888400990581,
      0.0206007108237862,
      -0.19948450067206,
      -0.0253722486941976,
      0.252213048569035,
      0.105719110537156,
      0.0763777333198636,
      0.061433877537449,
      0.220970636276968,
      0.17175088926196,
      0.127677004249014,
      0.239066268571473,
      0.260017929119403,
      0.231289281987664,
      0.0423374656271005,
      0.021041426283655,
      -0.00465036650119415,
      0.0226924121701775,
      -0.0485640172716949,
      -0.0104892331665816,
      -0.0859036820819671,
      -0.0620135631919878,
      -0.0823187417059482,
      -0.0330226789350004,
      -0.0047494564169221,
      -0.102624198112113,
      0.000724276069615087,
      0.120462482678623,
      0.124293611115115,
      0.0918445838005696,
      0.150183464276831,
      0.1879527109147,
      0.0584996369336083,
      0.0956414749171996,
      0.199351367665483,
      0.100854241678613,
      0.0920993834734831,
      0.0629703914619245,
      -0.0315296616002619,
      -0.0230604272773735,
      -0.0130238822425404,
      -0.0185639522630535,
      -0.0161588021898705,
      -0.0124407812078139,
      -0.0540899960074619,
      0.00128755612704633,
      0.0291625774549874,
      -0.00518110473967631,
      -0.0473453922195338,
      0.0707251136880274,
      0.381519517675107,
      0.0370751993989361,
      0.0100006366847134,
      0.148540292764197,
      0.242542434836017,
      0.0622937958592137,
      0.208793235216135,
      0.028534090303191,
      0.010832126543108,
      0.0582044127963248,
      0.0348757367898548,
      0.000577145139827676,
      0.0215958912778041,
      0.0000844827012243803,
      0.0312111472637232,
      0.022400132244797,
      -0.00328741507313865,
      0.000519875263287349,
      0.00809546671207447,
      0.0455240558758864,
      -0.0343575185144183,
      -0.217441429043504,
      0.0884446453600035,
      0.265882327158477,
      0.0551065591100142,
      0.080057862070028,
      0.0696527810602869,
      0.152182329523073,
      0.114534509572277,
      0.16256753306669,
      0.0733408090197057,
      0.0857747793490054,
      0.127220422485362,
      0.00727959555965329,
      0.00857529838915057,
      0.029357103881089,
      -0.00540104057481413,
      0.030052587449508,
      0.0216352188164437,
      -0.00583365019865443,
      -0.00298204742960579,
      0.0144048627757886,
      0.0427914813567005,
      -0.0606090295611562,
      -0.200205425367172,
      0.112532696567957,
      0.233146649392587,
      0.0555863372444609,
      0.0743461798013131,
      0.0792930894230054,
      0.300863313908646,
      0.0777623794032536,
      0.198654202991574,
      0.213109793661887,
      0.322606783760024,
      0.104832374915886,
      0.0431132473796974,
      0.0752244940382703,
      0.0677158807090612,
      0.0908363537881334,
      0.064027318239576,
      0.0557932644570439,
      0.0822416032268972,
      0.0461817764997019,
      0.060761471986111,
      0.072664269676441,
      -0.0193979735065537,
      -0.127888836624861,
      0.142494804198794,
      0.170625539075819,
      0.183536840240599,
      0.136076901445193,
      0.00573507378664426,
      0.036681469960842,
      0.0884642311847342,
      0.049710801336984,
      0.0731082084813871,
      0.0287174632708199,
      0.12307639994269,
      0.0592275431659869,
      0.0717937080087909,
      0.115319612899113,
      0.0908383086574067,
      0.204978478243096,
      0.0459086687637643,
      -0.0269775931425551,
      0.0375843484247721,
      -0.182156587031043,
      -0.251358076338438,
      -0.283454870241188,
      -0.232805149528601,
      -0.274952932029808,
      -0.277060804192964,
      -0.275424169009284,
      -0.313486284160529,
      -0.255611572376437,
      -0.133051915514065,
      -0.0155174300208959,
      -0.0243115258851403,
      -0.0378249744440189,
      -0.0263598771762747,
      -0.0389319375836504,
      -0.0406474356018369,
      -0.0246663279118042,
      -0.0267604588980298,
      -0.0271023605870677,
      -0.0407619533564504,
      -0.0212721534044308,
      -0.0302835286800994,
      -0.0316428402354072,
      -0.136884251215751,
      -0.330215119727128,
      -0.0935080935113134,
      -0.137116259113964,
      -0.230558596669548,
      -0.260532021811177,
      -0.177762856445872,
      -0.210256062833869,
      -0.0922108893606358,
      -0.0648774010140572,
      -0.0858728958410455,
      -0.000245047344792173,
      -0.0356565436480382,
      -0.0327368943399592,
      -0.0429282725944025,
      -0.0753963195380381,
      -0.0285083252224831,
      -0.0484652769643703,
      -0.032247336727218,
      -0.036600895905226,
      -0.0307659777516382,
      -0.0549917844652732,
      -0.116728994645168,
      -0.182351646268403,
      -0.317641817119261,
      -0.112638396795948,
      -0.154574615840503,
      -0.226048170191975,
      -0.242740791566515,
      -0.196908702717477,
      -0.198216793459034,
      -0.0905934823193818,
      -0.0663744524137603,
      -0.0742779877293402,
      -0.00490179655682283,
      -0.0368225403428151,
      -0.0336454646510087,
      -0.0420265264234275,
      -0.0555945937780294,
      -0.0304475796355245,
      -0.0473203038821804,
      -0.0405382933906458,
      -0.0346042846103637,
      -0.0289991746340411,
      -0.0562338779257029,
      -0.121487249648792,
      -0.178537772730781,
      -0.279391953072648,
      -0.157042731340869,
      -0.172727948777717,
      -0.263739656075701,
      -0.236130324581917,
      -0.203980136315014,
      -0.185935982413858,
      -0.0810902907306433,
      -0.0982996800396603,
      -0.0810570803043553,
      -0.00324355639415925,
      -0.00135428227340654,
      -0.0624487265383901,
      -0.0404291936812991,
      -0.0698262578650953,
      -0.0197707463233242,
      -0.0367497938855165,
      -0.00488181187186564,
      -0.037087798048137,
      -0.0340955139814165,
      -0.0601197825498217,
      -0.121088905700248,
      -0.223237202945425,
      -0.232085693773051,
      -0.168576018618043,
      -0.187201064640051,
      -0.272924092910057,
      -0.187744077331427,
      -0.214195427638506,
      -0.173306091105728,
      -0.0815774063703601,
      -0.0994482719728467,
      -0.0709063191865989,
      -0.0106616671847565,
      -0.00453996377115421,
      -0.0482668319430451,
      -0.0430207741947374,
      -0.0722704841318413,
      0.016484391538371,
      -0.000312201050729883,
      -0.00153004917313404,
      -0.100579640985029,
      -0.100295032015722,
      -0.128195319470176,
      -0.188761405971941,
      -0.264111195214307,
      -0.180511101538298,
      -0.0491920292820032,
      -0.092098970602668,
      -0.162820663111689,
      -0.169952488346264,
      -0.267411178376489,
      -0.124520040908063,
      -0.0773537425706117,
      -0.208609685970275,
      -0.0442584503799255,
      0.0189225824691162,
      0.00379491307647434,
      -0.00597712178137627,
      -0.000423988282913548,
      -0.0184889410337063,
      -0.0232444108551712,
      -0.0102358771044983,
      0.00778341502840811,
      -0.0262968625914652,
      -0.0181815694205484,
      -0.194703756843785,
      -0.152908201766747,
      -0.288413848870756,
      -0.150661846863329,
      -0.0511691655122883,
      -0.0877335026603139,
      -0.195065899764703,
      -0.146265934297158,
      -0.257933721187643,
      -0.1161555604481,
      -0.0720382729621047,
      -0.197826072224853,
      -0.0363183250610414,
      0.0217615546992068,
      0.00369018346516517,
      -0.00292853259365108,
      -0.00691204022532248,
      -0.0204981052221424,
      -0.0191238163899916,
      -0.0174507679597911,
      0.00402661662134754,
      -0.0132169346762013,
      -0.0244084815435914,
      -0.220142323372096,
      -0.135633567744183,
      -0.357458353669865,
      -0.185314268017406,
      -0.196202189127818,
      -0.247246594961196,
      -0.374953522672143,
      -0.146347811668769,
      -0.311075823415374,
      -0.138471974960918,
      -0.0712977270913503,
      -0.143901737798749,
      -0.0410730695076605,
      -0.044937581124147,
      -0.0804352488332012,
      -0.0416546756218604,
      -0.0677424988940033,
      -0.0995299866320268,
      -0.0205880127426343,
      -0.0432654294211205,
      -0.0148406072476932,
      -0.0321414513169293,
      -0.0182436559260452,
      -0.117611248473582,
      -0.1221562628819,
      -0.358697091029237,
      -0.168731109150826,
      -0.184204118530665,
      -0.268349480134592,
      -0.362109303794472,
      -0.143083180038887,
      -0.324243322489723,
      -0.111127647340107,
      -0.0764991703314579,
      -0.137618914228145,
      -0.0310403027179655,
      -0.0620547264026063,
      -0.0785743446112828,
      -0.0386513602986388,
      -0.0747497457534753,
      -0.0760433711711532,
      -0.0310092557177424,
      -0.0411942053519074,
      -0.0195819477597933,
      -0.0310460685853862,
      -0.0213204343202249,
      -0.135730706755937,
      -0.114299694031448,
      -0.332903036004874,
      -0.124485706125423,
      -0.153758362928329,
      -0.26319730165023,
      -0.334115889004728,
      -0.144881194336785,
      -0.253467654235268,
      -0.086788128968799,
      -0.0739136469152158,
      -0.116453668446009,
      -0.0277774778679029,
      0.0267990265494503,
      -0.0232566708801817,
      -0.0594476803248996,
      -0.0467775009494467,
      -0.0236642809551614,
      -0.0215736295077531,
      -0.0246630687379687,
      -0.013626443774977,
      -0.0406815931210796,
      -0.037280294077933,
      -0.113673447104442,
      -0.123518717810951,
      -0.33022204464631,
      -0.121182473345354,
      -0.154943965120195,
      -0.278433328463727,
      -0.312010714762274,
      -0.160316076950841,
      -0.227804719448821,
      -0.0779969631970544,
      -0.0802075035232176,
      -0.101346206884103,
      -0.0176540105165475,
      0.0363053829636366,
      -0.0381345131900461,
      -0.0570524739224448,
      -0.0456631647605326,
      -0.0200648899131042,
      0.0249907252581934,
      -0.00824293514270511,
      -0.0290503953575273,
      -0.0692280574819722,
      -0.0862252948759743,
      -0.25346445644563,
      -0.150029079736296,
      -0.306542303638549,
      -0.054746236036575,
      -0.0799417063854009,
      -0.0881910106172693,
      -0.237115855313898,
      -0.194423290723561,
      -0.195296842286303,
      -0.0845445644572502,
      -0.155178172564287,
      -0.10880527327776,
      -0.00402583589829615,
      0.012363087386511,
      -0.00140466183639177,
      0.00358165608180625,
      -0.0169040451365691,
      -0.0252240047401727,
      -0.0269362615166333,
      0.00770598509794031,
      0.00230405017154199,
      0.0044982672722326,
      -0.0946152795327642,
      -0.231884300732623,
      -0.182712344553177,
      -0.259320311859518,
      -0.0460876136433782,
      -0.0872525706668773,
      -0.109758752724457,
      -0.214644750590358,
      -0.225393253829291,
      -0.171462020264157,
      -0.0801963312606146,
      -0.183582738214334,
      -0.0807058502804382,
      0.0100266155918568,
      0.0139764310759039,
      -0.00885832902276924,
      0.00491989415901282,
      -0.0164507505597628,
      -0.027794106064891,
      0.0023932711620401,
      -0.0027671334732811,
      -0.00263532730447621,
      -0.0103807885578978,
      -0.12048726330779,
      -0.335225672893223,
      -0.533953916291588,
      -0.513451994156698,
      -0.365756038920746,
      -0.418345685748246,
      -0.349809970122092,
      -0.353834593418094,
      -0.177537026836172,
      -0.396070953362044,
      -0.301749426425934,
      -0.362743260662982,
      -0.125863061289385,
      -0.0111863376984873,
      -0.0348776119228796,
      -0.0549208358811162,
      -0.0382124868890133,
      -0.0124485424693777,
      -0.0244617105465945,
      -0.0282745882465244,
      0.00353815748573458,
      0.0189516064296844,
      -0.0109948183151699,
      -0.0364461315019931,
      -0.141785330371662,
      -0.204717026961655,
      -0.15011821728444,
      -0.155819647017192,
      -0.164452746921672,
      -0.379752961252733,
      -0.198966392587733,
      -0.281896861662741,
      -0.159699027973403,
      -0.0790556932602589,
      -0.104592593818912,
      -0.0488454188038743,
      0.0349865403373333,
      0.0188068692328573,
      -0.0451131424874507,
      -0.0444857773680314,
      -0.00867502506371678,
      -0.00866260116259033,
      -0.0638651568628456,
      -0.0470886719552766,
      -0.0405561578684139,
      -0.0262798000705105,
      -0.0651709994667644,
      -0.126184585684781,
      -0.286199235381745,
      -0.158090279000227,
      -0.0532883068176716,
      -0.0867688932821039,
      -0.192879852750855,
      -0.146725674357273,
      -0.261201735065952,
      -0.120381156531339,
      -0.0791528494909026,
      -0.209796984884306,
      -0.0285488035364957,
      0.0264209720530504,
      0.00369788820587204,
      -0.000910315564955837,
      -0.00281786831974253,
      -0.0217273223859436,
      -0.0243784578929548,
      -0.0157936849067509,
      0.0155269016533487,
      0.00340956959585634,
      -0.0163945405250208,
      -0.213863528163263,
      -0.132149816566447,
      -0.305010020344271,
      -0.118608718216262,
      -0.0581083404009053,
      -0.0783193291156773,
      -0.219455983240691,
      -0.14045028238574,
      -0.255744445820407,
      -0.110679181819773,
      -0.0831469570167403,
      -0.194592686423021,
      -0.0315155421800214,
      0.0215594317073963,
      -0.00409424939955084,
      -0.00418367540745698,
      -0.00447326199315187,
      -0.0233332137760155,
      -0.01253971114988,
      -0.0116513252138659,
      0.00404870705265275,
      -0.00743961868975502,
      -0.0327168732215446,
      -0.253816782101934,
      -0.344927273863588,
      -0.173395174970231,
      -0.118554520313466,
      -0.190862816007748,
      -0.14814767301381,
      -0.123899369014361,
      -0.203561832419295,
      -0.11262610590137,
      -0.16995190475157,
      -0.171545142008392,
      -0.0816102199639405,
      -0.0433376297063896,
      0.0168812353927357,
      0.0349729637234498,
      0.029659263528344,
      0.0425830323737752,
      0.0642376667623196,
      0.0837831068991524,
      0.0927863081191785,
      0.0662887443298323,
      0.065847782247832,
      0.104289779011043,
      0.0680317978520468,
      0.0827795445157358,
      -0.00892507214860239,
      -0.0516017699017416,
      -0.128405661094491,
      -0.116755052971045,
      -0.0589608262296302,
      0.0084964339505541,
      0.0258137224033826,
      -0.0373119385338008,
      -0.0440257010484162,
      -0.0545828992778683,
      -0.0365699055834303,
      -0.0396997444108004,
      -0.0418326224773317,
      -0.0374158220154099,
      -0.0505556303553883,
      -0.0441519781214763,
      -0.00553266881278293,
      0.0078794749501038,
      -0.00584048945255808,
      -0.0217496147909197,
      -0.00799868240560767,
      -0.0187725117219984,
      -0.0244207568324984,
      -0.0136483193253581,
      -0.0136360972807077,
      -0.0179134224459201,
      -0.0188815803032879,
      -0.00472852806946161,
      -0.0199063882421966,
      -0.00433367286642572,
      -0.0431355124996806,
      -0.103391705671734,
      -0.0306860872438912,
      -0.0336954223208582,
      -0.0697058864025433,
      -0.100038138036665,
      -0.0395696805957675,
      -0.0795617603469201,
      -0.0208252321690503,
      -0.0192398116416341,
      -0.00642483520621316,
      -0.00531389739772591,
      0.0531076594065457,
      0.0395584305196901,
      -0.00664008547947213,
      -0.010448876249421,
      0.0688183911593733,
      0.0183047005815705,
      0.0523864724558776,
      0.0375308056715408,
      -0.0172772298746164,
      0.0173107722801939,
      0.0418575682280291,
      -0.0416145400111129,
      -0.0992676551406053,
      -0.0395779984569942,
      -0.0431058211582915,
      -0.0684160870451404,
      -0.088062364726551,
      -0.0497401838378652,
      -0.0728803439270412,
      -0.0230350083090718,
      -0.0187802394987727,
      -0.00329518090951118,
      -0.000601338869875981,
      0.0724472971294557,
      0.0281021094972406,
      -0.0213948624600832,
      -0.00525498701182842,
      0.068570687350188,
      0.0174364443462204,
      0.0579288513183327,
      0.027175708242926,
      -0.0184519455987442,
      0.0201746226256966,
      0.0431073927881792,
      -0.0472300494336848,
      -0.0868954869565175,
      -0.0488684147934296,
      -0.0427725058269983,
      -0.104376560275195,
      -0.0752924914937962,
      -0.0568647655944633,
      -0.0708089264430388,
      -0.0186663160554362,
      -0.0267750278577432,
      0.00181784120339264,
      -0.00557515801018749,
      0.0746977358868389,
      0.0246285936657602,
      -0.0130849534844125,
      0.00157509371466851,
      0.0645450496086288,
      0.011470480333749,
      0.0595240287154947,
      0.00833539635674182,
      -0.0206084289272285,
      0.0218783476766166,
      0.047171325963133,
      -0.0662025352642353,
      -0.0724168265766655,
      -0.05247912807825,
      -0.0497316300657138,
      -0.100656605977014,
      -0.0688726761971873,
      -0.0642752096251628,
      -0.0635419761085579,
      -0.0195035152522906,
      -0.029123879081104,
      0.00950864469937826,
      0.00206224107580417,
      0.0774221755652432,
      0.0154716638944928,
      -0.0263134158709667,
      0.012876801615623,
      0.089115573336514,
      0.0482040493946571,
      0.0688148088111553,
      0.0577261231780995,
      0.0429628619140478,
      0.0775722908589266,
      0.0782259138499128,
      -0.083663236455234,
      -0.0635797343364386,
      -0.0144166213707233,
      -0.0325679163537541,
      -0.0570822241937391,
      -0.054596006578482,
      -0.0816828185058706,
      -0.0445055042915911,
      -0.0240608429555603,
      -0.0749079315713556,
      -0.0123165573152851,
      0.00417606572313573,
      0.0766587148280464,
      0.0147712950730264,
      0.0182795938217431,
      0.0170572566800539,
      0.0917862305560923,
      0.0191226331910287,
      0.0582847219071326,
      0.0600787632648769,
      0.0881557180481341,
      0.103760232955855,
      0.0535342971103686,
      -0.097324058969073,
      -0.0574611695219831,
      -0.0144339637115256,
      -0.0307966454230085,
      -0.070639225855478,
      -0.0464435299367361,
      -0.0826785063936414,
      -0.0423174916808486,
      -0.024717782572896,
      -0.0725402529036731,
      -0.0127482666503867,
      0.0217762353566328,
      0.0727774828379669,
      0.0159350115266386,
      0.0237314303145968,
      0.0229231630850214,
      0.0979477331017668,
      0.0135099900213287,
      0.0603514922671957,
      0.0476417958652286,
      0.0869651426407262,
      0.104701489621744,
      0.0389816238291395,
      -0.115085743254418,
      -0.0503635880974257,
      -0.0558228716802653,
      -0.0749411352609259,
      -0.140362999428835,
      -0.0415576493490883,
      -0.0868877669222176,
      -0.0304425346923838,
      -0.0174363521924543,
      -0.0337436834559289,
      -0.0021942386192983,
      -0.0000560917224479218,
      0.0553792344580754,
      0.00367462759925588,
      -0.0233064993603837,
      0.0225665268428915,
      0.0330530168345697,
      0.0132992514886206,
      0.0451187206100027,
      -0.00363872134277218,
      0.010373406899605,
      0.0188097427103642,
      0.018258813820458,
      -0.121669430433896,
      -0.0433978634274458,
      -0.0508131990904639,
      -0.0802100487663309,
      -0.13929071809082,
      -0.036400293412061,
      -0.0931730355207746,
      -0.0218351179825699,
      -0.0200345716429451,
      -0.0305064559381889,
      -0.000408893792145183,
      0.00954776339460871,
      0.0455380248993803,
      -0.0024037224584848,
      -0.0286028762043619,
      0.0344973404664666,
      0.0255489568705877,
      0.0239203287489664,
      0.0374262309903148,
      -0.00665254748545907,
      0.0132334931871467,
      0.0234484304503362,
      0.0018896841099969,
      -0.100762437964655,
      -0.0338250506432517,
      -0.0418707624084133,
      -0.0582219881624394,
      -0.125614685287872,
      -0.0348070568332996,
      -0.0824962154954318,
      -0.0256350963461168,
      -0.0183234508869395,
      -0.00893128190437704,
      0.00112550726741555,
      0.0410402509408537,
      0.0425002368549252,
      -0.00619021888096941,
      -0.0112487838390031,
      0.07084216168402,
      0.0225951921367871,
      0.0270607270360654,
      0.0438659023691036,
      -0.0180464108652331,
      0.0148682958496658,
      0.0366419923573105,
      -0.00827340919090163,
      -0.0996680284343535,
      -0.0355995447878846,
      -0.0401574800384218,
      -0.072581654123593,
      -0.115771136414246,
      -0.0386279774216381,
      -0.0774045533440916,
      -0.0209731858830831,
      -0.0165856160593987,
      -0.00601272630128,
      0.000179306167896444,
      0.0622284229822072,
      0.0307697956538981,
      -0.0116440171525522,
      -0.00851605856406077,
      0.0855820572099618,
      0.0703399543688898,
      0.0343495350468979,
      0.0784909928866406,
      0.0285115032097237,
      0.078496410714408,
      0.111747074565983,
      -0.0340735645110559,
      -0.101977594159853,
      -0.021022846628137,
      -0.0228156507403149,
      -0.0326944277142971,
      -0.0811809810440074,
      -0.0507911009726109,
      -0.0711182318670709,
      -0.0260612850703585,
      -0.0575675807637364,
      -0.0420508148942428,
      -0.00620392185120287,
      0.0630488956640781,
      0.0298588467447557,
      0.011435215284347,
      0.0199293393922592,
      0.0463136445031335,
      0.013339128729952,
      0.0561480579900143,
      0.0373438645666716,
      -0.00215223766721643,
      0.0565359264226235,
      0.09602668559174,
      -0.0505427460946296,
      -0.0920437417250552,
      -0.0157111626814329,
      -0.027518602608281,
      -0.0404616889276917,
      -0.0723653140672011,
      -0.0649044766013614,
      -0.0600601895531731,
      -0.026256329221957,
      -0.0660741861561734,
      -0.0278421713393911,
      -0.00309782467325869,
      0.0749436029706877,
      0.0247656584848558,
      0.0150733555911441,
      0.0184463373123601,
      0.0714216603414069,
      0.0472016811642861,
      0.0517723196002766,
      0.0582744062213644,
      0.074131000764759,
      0.0898449453128475,
      0.108890299460592,
      -0.160062559577901,
      -0.18300308447284,
      -0.103606497104581,
      -0.11590618744654,
      -0.0896899081923268,
      -0.144574379481096,
      -0.0921192113917029,
      -0.170121407633065,
      -0.0756987953252526,
      -0.101456242853346,
      0.00355836503339915,
      0.00231995566729544,
      0.0339243440251426,
      0.0373606719198088,
      0.0257306172717911,
      0.0339311488359307,
      0.043769487232929,
      0.00612111136531625,
      0.0203107815929761,
      0.0486725642670274,
      0.0371288734600243,
      0.0141052917298571,
      0.041754031443822,
      -0.0638638063378077,
      -0.0717483373617043,
      -0.0496674712215964,
      -0.0508917005581526,
      -0.13186306783914,
      -0.0677368996601818,
      -0.0919707595545739,
      -0.0571898780402906,
      -0.017466294226352,
      -0.0202162190297993,
      0.00500886427184035,
      0.0119097129802028,
      0.0890509469778183,
      0.00573322471162532,
      -0.0147841379660608,
      0.0425704535723245,
      0.0743816251119994,
      -0.00240645021054741,
      0.0540177816678864,
      0.00146149936376522,
      -0.000799524724812638,
      0.0296589099880251,
      0.0406416196150867,
      -0.0951039891304079,
      -0.0552627771652217,
      -0.0143611501406467,
      -0.029345643934747,
      -0.0666202339655265,
      -0.0476804437940266,
      -0.0829878579253246,
      -0.0406903138782662,
      -0.0258790023835637,
      -0.0767007563877406,
      -0.00617165943570475,
      0.0263361489072906,
      0.0757686925092787,
      0.00554902537370936,
      0.0201654911658949,
      0.0220619945000561,
      0.0444989888493866,
      0.0194746555043559,
      0.0652692919337927,
      0.019252051287674,
      0.000794056311380641,
      0.101407777976988,
      0.0348363240798683,
      -0.105272518893758,
      -0.0472706922467473,
      -0.0160022541226749,
      -0.0275351060496081,
      -0.075897907752507,
      -0.0382696177074084,
      -0.0798343357671882,
      -0.0414023791018049,
      -0.029024405738317,
      -0.0685837872747396,
      -0.00805652894099202,
      0.0202241399352577,
      0.0676252832748883,
      0.0108610321906672,
      0.0172281936182902,
      0.0263628159134555,
      0.0921682274397399,
      0.0188000747104517,
      0.0685765017342648,
      0.0467323307627372,
      0.0919786730449058,
      0.113790006728059,
      0.0867353495784524,
      -0.037962273107884,
      -0.0449322140961263,
      -0.0781869228206636,
      -0.053927799059415,
      -0.0576236936077752,
      -0.0607488854584782,
      -0.0430573743711406,
      -0.0717595889424377,
      -0.0549251403375056,
      -0.0315294560611085,
      0.0202755753834954,
      0.038942875956657,
      0.0296895416368166,
      0.0393423438557867,
      0.0327236560687151,
      0.00877690504800713,
      0.0203247787892475,
      0.0209541706954512,
      0.0214737830494975,
      0.0238049827698017,
      -0.00640386939374994,
      0.024309357023399,
      -0.00226863682543624,
      0.0138180026527261,
      -0.00522448341742618,
      -0.00366043521267287,
      0.0132761699518859,
      -0.0139462497529935,
      0.00415415393192618,
      0.0109424997248424,
      0.0353843922879083,
      0.0560009288508114,
      0.0620168008125039,
      0.0549492613328625,
      0.0659934752873281,
      0.0592748458343945,
      0.0532779024428806,
      0.0605169987684304,
      0.0366245297248985,
      0.0287582441155559,
      -0.0273510864282379,
      -0.00974376561652832,
      -0.00839261813189608,
      -0.00536679544512419,
      -0.00986182657876674,
      -0.0116676631548824,
      -0.00203524214364982,
      -0.0051277832134048,
      -0.00831784339835659,
      -0.0128526432329141,
      -0.00535275313751892,
      -0.00991496783076791,
      0.00567429970512308,
      -0.000392512918453107,
      -0.0356016212209606,
      0.00107823374222942,
      -0.0194001629759007,
      -0.0468388218923732,
      -0.0564780917342916,
      0.0124316113199907,
      -0.0105729116225575,
      -0.00762510891889328,
      0.00610712100815558,
      -0.0142265419803516,
      0.0356160678463035,
      -0.0270920539852713,
      -0.0333969123171143,
      0.00836060241451951,
      -0.00112456110929444,
      -0.0579359371811186,
      -0.00876798947047623,
      0.0173088169272327,
      -0.0172951138881094,
      -0.00825952422421518,
      -0.0212426414798063,
      -0.0356669227832485,
      -0.000389801693641928,
      -0.0362787766467191,
      -0.0024439856805683,
      -0.0140541498536098,
      -0.054764481596991,
      -0.0439850249189707,
      0.0100932444486017,
      -0.00972285184520802,
      -0.00661531375729519,
      0.00412749292501262,
      -0.00697956103034683,
      0.0256006354922456,
      -0.0393339866313111,
      -0.026398020014555,
      0.0146131113181708,
      -0.00847921155550348,
      -0.0628121289096567,
      -0.00202981506748616,
      0.00757467219710727,
      -0.0106887892598206,
      -0.00828217460402581,
      -0.0226359098057825,
      -0.0412362116010606,
      -0.00561346277434196,
      -0.0245425780563358,
      -0.0135568135036551,
      0.00699615702266834,
      -0.0077158021928868,
      -0.0358710704209276,
      -0.00868115145343226,
      -0.0222005389228293,
      0.0011470936074604,
      -0.00804717709638269,
      -0.00123367493912849,
      0.0219782298107325,
      -0.0348981119181449,
      -0.0093080459519707,
      0.0155681227168025,
      -0.00431988349488303,
      -0.0537819325448009,
      0.00554077817202708,
      -0.0358062140271575,
      -0.0101339372986628,
      -0.012312829115445,
      -0.015835285387574,
      -0.0259191493460345,
      -0.00665774443567825,
      -0.0197168224900008,
      -0.0139634992956907,
      0.00538128075140127,
      -0.0164286958219573,
      -0.0262533892721738,
      -0.0119650343016829,
      -0.0209344457295506,
      0.00271097973206038,
      -0.0099297928015486,
      0.00384966048841539,
      0.0096579643646089,
      -0.0300399399341566,
      -0.00999730242213307,
      0.0207756520832751,
      -0.0123784142863968,
      -0.0795354130152695,
      -0.022160607576289,
      -0.0430000547161843,
      -0.024986234346352,
      -0.0504812312865174,
      -0.043454487200888,
      -0.0338327504940782,
      -0.0287761924066301,
      -0.0188917464569782,
      -0.00316379746484224,
      0.00978131965479184,
      -0.0202010353185314,
      -0.0187782273546588,
      -0.027011645904312,
      -0.0227664435174817,
      0.00735969623947176,
      -0.0235193338860494,
      0.0922816039603136,
      0.00362462815653043,
      -0.0589976962990577,
      -0.00878655858144399,
      -0.0136113425637144,
      -0.00962696054402012,
      -0.058998618241608,
      -0.0209369687992791,
      -0.0389945006612449,
      -0.0442773995325911,
      -0.0651327325434688,
      -0.0675310272770712,
      -0.0324354263353415,
      -0.0354998293595203,
      -0.00870587003411618,
      -0.00199920106777528,
      0.0118860046745228,
      -0.0264776188686671,
      -0.0162071428595392,
      -0.0303112032050178,
      -0.0192792365035414,
      0.00771277246931433,
      -0.0180744448590226,
      0.0920941854662633,
      -0.00850812139861199,
      -0.0560253826406458,
      -0.0123836883380193,
      -0.014600614824768,
      -0.00921694496684143,
      -0.0670564329409152,
      -0.0133015266337414,
      -0.0452689224947161,
      -0.0344380422244644,
      -0.0684328827004547,
      -0.0750329168643,
      -0.0189799645807814,
      -0.0166172594883222,
      -0.00042895006382271,
      -0.00282483895047993,
      0.00729773879042329,
      -0.0479180001085395,
      -0.0158396380285087,
      -0.0583764995488629,
      -0.0335587219100432,
      0.000506337893690373,
      -0.0149441810229581,
      0.0312657727209722,
      -0.000161094898317749,
      -0.020610554922982,
      -0.00827616565773946,
      0.0183178830505051,
      -0.0419703284088008,
      -0.0361513364830672,
      -0.0376845784472901,
      -0.046931531422846,
      -0.00777963459864108,
      -0.0211064725507308,
      -0.0184478194700441,
      -0.0111558320021494,
      -0.0258601873150711,
      0.00843419895115203,
      -0.00625764326080731,
      0.00683350663073232,
      -0.0514435595579682,
      -0.0111699861610293,
      -0.0622749161974279,
      -0.0297374524325585,
      -0.000741589057355771,
      -0.0142758237783277,
      0.0320469792556283,
      -0.0067844681465486,
      -0.0265522548339644,
      -0.00165928030602865,
      0.0118342097152193,
      -0.0490100871945837,
      -0.0272469257239692,
      -0.0450863174351941,
      -0.0418148140558086,
      -0.00621559319401455,
      -0.020713821225681,
      -0.0244830493206981,
      0.00149769570233279,
      -0.0140111494610536,
      0.00308340165077219,
      -0.00883272268951591,
      -0.0117169023144404,
      -0.0409848590481904,
      0.0238206295008135,
      -0.00267583423917357,
      -0.00674974678879606,
      0.000510252676077482,
      -0.0153768251706719,
      0.0307103758535694,
      -0.0214497177488133,
      -0.0375419841332286,
      -0.00183144997307843,
      0.00422919509363888,
      -0.0494514719419527,
      -0.0143948992668076,
      -0.00072192825006304,
      -0.0178194587663604,
      -0.00529561018694924,
      -0.0143940256990617,
      -0.0349139165477153,
      -0.00240005685407806,
      -0.0135875228185035,
      -0.000538200092547501,
      -0.00564083134688883,
      -0.0137565832919845,
      -0.0424915412753213,
      0.0325182618948977,
      -0.00898012208066937,
      -0.00317236810357528,
      0.00129035833714663,
      -0.015171800548405,
      0.0277568974066404,
      -0.0312670890251789,
      -0.0332607815485095,
      0.00245584957781427,
      0.000876349692925512,
      -0.0614602115349404,
      -0.0629558377623963,
      -0.00844580376013424,
      -0.024516174023649,
      -0.0444565058311065,
      -0.0446395625716034,
      -0.0693621190770168,
      -0.0124004063811879,
      -0.0355160436035544,
      -0.00263764271633545,
      0.00586628124184601,
      -0.00485467439555348,
      -0.0315151010103358,
      -0.00789116182578969,
      -0.0392602019304249,
      0.0037446743195803,
      -0.0157110325318355,
      0.0538152920119388,
      0.0460291230061757,
      -0.0561666509425135,
      -0.0136880878523645,
      -0.0200934822107969,
      -0.00670444501626567,
      -0.0344728868984678,
      -0.00802143957623286,
      -0.0370763036011824,
      -0.0277555894871215,
      -0.0033143253733977,
      -0.0458518436327314,
      -0.0592998611592641,
      -0.015573275989418,
      -0.030389387262083,
      -0.000353373460621377,
      0.00704972062475283,
      -0.00864732172825548,
      -0.0278950837519899,
      -0.0145474598051282,
      -0.0358021929295971,
      0.00456735028500402,
      -0.019763598701026,
      0.071156250129495,
      0.0280934524961707,
      -0.0571514386964093,
      -0.0111485907649758,
      -0.0195723161836978,
      -0.00574193696511338,
      -0.045813654362094,
      -0.0464736144787594,
      -0.0321501501452462,
      -0.0473526787855859,
      -0.0614178289234928,
      -0.0719587759729626,
      -0.0714468869586208,
      -0.0759398849223494,
      -0.0764629393774527,
      -0.0547080461850695,
      -0.0238364027474015,
      -0.0146561088658244,
      -0.0659025595118327,
      -0.052098724908448,
      -0.0694776750545294,
      -0.0161621857000955,
      -0.0760229405719614,
      0.0698454610469642,
      0.0181456366314389,
      -0.0249709206664536,
      -0.0141505613423487,
      -0.0172723620029021,
      -0.0360614499377602,
      -0.0384663535731051,
      -0.00726746329086676,
      -0.0191235339386364,
      -0.0556198131153587,
      -0.0167005537529581,
      -0.010917361434902,
      -0.0204155082152293,
      0.002676069001517,
      0.00579499742746399,
      -0.0242273339741091,
      -0.0108401802316818,
      -0.0539979380004956,
      -0.0265835569161169,
      -0.0376384839642007,
      -0.0273993789844424,
      -0.000685216383143322,
      -0.0194433130508292,
      0.0159573840101853,
      0.00649963329410267,
      -0.04332060462174,
      -0.0129629800123702,
      0.00749773519143633,
      -0.0369937340823753,
      -0.0550575483993068,
      0.00097781341974486,
      -0.0572367708542724,
      -0.00620022788332353,
      -0.0198197825767912,
      -0.017844979885506,
      -0.0328237307594878,
      -0.0322540069485085,
      -0.00981427617308179,
      -0.00423012370853056,
      0.00949706922857072,
      -0.0247772479038657,
      -0.0162182469458147,
      -0.0313588501372473,
      -0.0189156356010937,
      0.00550112659736399,
      -0.0205477364416718,
      0.0896405767473802,
      -0.0154817369188856,
      -0.0587260517564766,
      -0.00551829515168043,
      -0.0146113789941272,
      -0.0101062390936306,
      -0.0301300775552066,
      -0.014096393717167,
      -0.0418543287217136,
      -0.0170934012713998,
      -0.012057538704403,
      -0.0686388132504688,
      -0.0227226234272436,
      -0.0423350996762481,
      -0.00418884924364524,
      -0.00120351440870457,
      0.013640345150354,
      -0.0291766835547556,
      -0.0126410828032064,
      -0.0339681708114343,
      -0.0122474238890753,
      0.00423687235751088,
      -0.0147394635682071,
      0.0877560024658211,
      -0.0136366352934303,
      -0.0453891576394294,
      -0.0121528122840341,
      -0.0153831361144066,
      -0.0125842265438188,
      -0.0704270464375513,
      -0.0161597836465152,
      -0.052516642582037,
      -0.0421426115149005,
      -0.071198297614682,
      -0.076618007539911,
      -0.0529006972511536,
      -0.0166034610417024,
      -0.00477503602571999,
      0.0035900490343823,
      0.00440844829728587,
      -0.00365035597057086,
      -0.00815526220278471,
      0.00106080459001481,
      -0.000334127711510289,
      0.00944565427586356,
      -0.0120852235011114,
      -0.0452735322291216,
      -0.0544633134714534,
      -0.0493636732794524,
      -0.0542609370603173,
      -0.0476782090702616,
      0.000405531058259349,
      -0.00149165455491976,
      -0.0157593067957411,
      -0.015136841406853,
      -0.026300708120544,
      -0.00321052661347568,
      -0.0365596651446817,
      -0.0171874443583991,
      -0.0303690151502297,
      -0.0515565185996018,
      -0.0260870664461796,
      0.00938523055075434,
      0.0313409818830668,
      0.00564989968175907
    ],
    "hpcp_over_time": [
      0.760377519687003,
      0.369278179152918,
      0.292251318716693,
      0.252437396736398,
      0.280430632026534,
      0.26785967719522,
      0.234729001308454,
      0.240621073888137,
      0.212963291888365,
      0.232259042473394,
      0.271564806963189,
      0.391675794799035,
      0.578158846097069,
      0.510920654916198,
      0.577901827623344,
      0.540681306863138,
      0.488888104372076,
      0.601067957862281,
      0.659917212288724,
      0.541882867367812,
      0.461788513038936,
      0.618928708075764,
      0.558384109500255,
      0.594539687914748,
      0.443983865809041,
      0.170993439384052,
      0.589311675000638,
      0.422717330920075,
      0.159497862622013,
      0.18893225667361,
      0.300619368446939,
      0.334153260253512,
      0.540382179667412,
      0.549241172094155,
      0.584485653441209,
      0.535446644942888,
      0.175551149362438,
      0.307020026328752,
      0.559414820135958,
      0.34011125703445,
      0.155887247362532,
      0.483547437284482,
      0.194426938744056,
      0.383162555832701,
      0.559226822368319,
      0.528509565836776,
      0.42229839984298,
      0.372040965353369,
      0.179341349616676,
      0.559133971905437,
      0.353447182359781,
      0.15178185505393,
      0.237074559398986,
      0.287328362148825,
      0.336951145569009,
      0.534589823760448,
      0.560659468114512,
      0.623177174722149,
      0.46794460593761,
      0.131551246631958,
      0.375426734620892,
      0.552720688960421,
      0.300730324904554,
      0.153814189422116,
      0.473673881935158,
      0.179753919330009,
      0.432742695751003,
      0.554978486285982,
      0.525428056226538,
      0.397509276295653,
      0.322360152189267,
      0.174583311557503,
      0.38436417229911,
      0.339036920160671,
      0.268272577042131,
      0.271146213494609,
      0.298215788620177,
      0.28014954668661,
      0.512194540050821,
      0.511462803859012,
      0.498462908159024,
      0.479394461347873,
      0.135002849574748,
      0.436915847810019,
      0.600940957314574,
      0.26914384641713,
      0.183822625094199,
      0.456066801594079,
      0.204171369959232,
      0.466485895013785,
      0.550912595709395,
      0.563967756087689,
      0.365998791852462,
      0.259267683239903,
      0.229652804268299,
      0.355427930193744,
      0.321532461109392,
      0.263889467993737,
      0.354240247434924,
      0.271782674435204,
      0.281248119553945,
      0.500752521770078,
      0.532409359521756,
      0.45470008039039,
      0.44860890090593,
      0.140197347731263,
      0.48738304588714,
      0.560439159444104,
      0.224685525166604,
      0.131549921346716,
      0.228306770293086,
      0.163805267668331,
      0.129506154492068,
      0.11117878672363,
      0.250210383041197,
      0.363213165496788,
      0.254183303047136,
      0.370215018559673,
      0.753528042115297,
      0.553109370900107,
      0.424132349125465,
      0.353156840810232,
      0.227334513159875,
      0.36931663999353,
      0.520061061540147,
      0.210011783868852,
      0.177785840634798,
      0.470280462821033,
      0.212982164635783,
      0.51045816090476,
      0.497057114801765,
      0.494662949140917,
      0.166469209715232,
      0.450146288454025,
      0.283260269947257,
      0.226446519085501,
      0.147285739584,
      0.172823445212589,
      0.401429131578224,
      0.209066764119739,
      0.444027422876498,
      0.749141283990534,
      0.569453218181429,
      0.339356702378839,
      0.368791487852627,
      0.229424475254086,
      0.404970522994638,
      0.518788967506387,
      0.199175395921552,
      0.186219281140365,
      0.414944570495327,
      0.23707115178659,
      0.515716809812937,
      0.483910545832708,
      0.490001959273801,
      0.137647740434254,
      0.481423966628934,
      0.251583192919186,
      0.27881956998455,
      0.124033046732604,
      0.17254792430778,
      0.391923728876487,
      0.117260266051025,
      0.340894481033328,
      0.291430454574474,
      0.172727268035735,
      0.13316252185191,
      0.354297407610077,
      0.143937218456067,
      0.370625854461422,
      0.589813112744146,
      0.403164738604245,
      0.472144404999894,
      0.367079310291883,
      0.168765080642376,
      0.541996226665299,
      0.498511262837054,
      0.169465619928751,
      0.41142119615572,
      0.388153251926252,
      0.346631530528682,
      0.536468903594703,
      0.46297252915933,
      0.458270843072625,
      0.450848946098914,
      0.105969587145095,
      0.378586400568416,
      0.325723219469025,
      0.151087920983751,
      0.143722345253863,
      0.356592990794196,
      0.12419837451458,
      0.42189227612996,
      0.574193428015838,
      0.445369730419427,
      0.462204239498612,
      0.283624985986514,
      0.206379655981075,
      0.566663200975703,
      0.445893321139539,
      0.164507061575206,
      0.454055092354604,
      0.310055146768964,
      0.400283050777442,
      0.553272312847059,
      0.434086445743179,
      0.430413823993808,
      0.453000360370336,
      0.0993711852087387,
      0.404617672135573,
      0.338239111250362,
      0.213512326696281,
      0.1334562304743,
      0.298389867196028,
      0.231421275775148,
      0.468608800557431,
      0.545975646791967,
      0.508174144837244,
      0.435858260187443,
      0.263826646417338,
      0.263666927776472,
      0.581326479557517,
      0.421059289424696,
      0.163893302984138,
      0.546628165538213,
      0.346675155280426,
      0.414820920050063,
      0.557176404687543,
      0.57078186496423,
      0.423684655657105,
      0.452883247630659,
      0.107004284866547,
      0.427158020892841,
      0.34987670677638,
      0.179848527557016,
      0.162417490527437,
      0.267773496600756,
      0.258804893483304,
      0.501764758331609,
      0.538177928473896,
      0.533655772190574,
      0.43536868511256,
      0.206676730048705,
      0.319624839289664,
      0.586560332439284,
      0.375768515716654,
      0.137107769977954,
      0.283592318890083,
      0.278259926781347,
      0.223410097434954,
      0.265273141867513,
      0.271907234210581,
      0.189526837530493,
      0.42520757284771,
      0.188582543311681,
      0.696337590910608,
      0.608390596690487,
      0.569041797110645,
      0.241942346576096,
      0.328035742346659,
      0.288380391197306,
      0.516320360886448,
      0.328949374451884,
      0.181543088635809,
      0.428459900673318,
      0.224038996382713,
      0.432778190140615,
      0.491511836044881,
      0.50903961788252,
      0.296762794546359,
      0.487897709112375,
      0.279580701292373,
      0.415320281586031,
      0.538981123678431,
      0.200293654742017,
      0.236524347792592,
      0.374878073876016,
      0.243753979002512,
      0.764978462396155,
      0.58123482639085,
      0.5284072314358,
      0.282859821010261,
      0.288905381413652,
      0.291336082422239,
      0.506321520854168,
      0.27555571771851,
      0.190716552422598,
      0.45122966499196,
      0.221928620758478,
      0.467431480541151,
      0.480355003593426,
      0.51906433265527,
      0.233992552711852,
      0.306667733795998,
      0.355301151436662,
      0.252014318056927,
      0.169278058331985,
      0.16593297558457,
      0.128924354458525,
      0.0786861093029451,
      0.0685282444200893,
      0.122403519248125,
      0.117429556876232,
      0.195156793943976,
      0.152216619203236,
      0.256934212730496,
      0.117562483024935,
      0.199852394042544,
      0.0822741203735636,
      0.112643742426387,
      0.424590757814118,
      0.305461520536913,
      0.222142872522863,
      0.329473233197562,
      0.348389919052596,
      0.265959126925565,
      0.489666593029282,
      0.424733034654559,
      0.208704536720341,
      0.282389789780077,
      0.461498630667962,
      0.429787491289443,
      0.244225011959088,
      0.336679098878574,
      0.359878604980111,
      0.353450875317587,
      0.131150956217471,
      0.296812192924755,
      0.166627593463948,
      0.325036348094324,
      0.52095952005588,
      0.409318998464081,
      0.481638111557392,
      0.417089513048658,
      0.121649141483592,
      0.493727461186959,
      0.61710106203321,
      0.216843917239745,
      0.224293926056227,
      0.400147742112598,
      0.211194674090168,
      0.506605597848356,
      0.513667448853911,
      0.441125141737319,
      0.413024365431037,
      0.210200824322625,
      0.426754382706434,
      0.717714362017934,
      0.565304311481908,
      0.354108048781188,
      0.369404053357364,
      0.232158869272601,
      0.393693831654428,
      0.493844366537941,
      0.190615242556521,
      0.190988142481759,
      0.395717099365327,
      0.234329310286527,
      0.592775816292291,
      0.494941439227132,
      0.47544070720515,
      0.335995344615313,
      0.404133890510985,
      0.302089789241895,
      0.451773755179047,
      0.423183166224827,
      0.190056021648033,
      0.437543383691149,
      0.184864777498559,
      0.492529421438928,
      0.734077348535748,
      0.616903566496347,
      0.277627232528518,
      0.383959046114114,
      0.234366835487841,
      0.43638295775913,
      0.474914949846611,
      0.185099605223275,
      0.222232908319925,
      0.420175918601989,
      0.262146469564314,
      0.533607930466707,
      0.491352283934683,
      0.446967432273663,
      0.132416158042328,
      0.453323977869875,
      0.221026513274123,
      0.27648651181736,
      0.110823870112992,
      0.172603983412348,
      0.124120940907406,
      0.300385921051461,
      0.430778500630347,
      0.313089460108866,
      0.369039374891087,
      0.369477987835617,
      0.238550445438995,
      0.381834239772884,
      0.279660891876641,
      0.300161433138652,
      0.415428106766374,
      0.371556623188722,
      0.294882929975665,
      0.352924258180215,
      0.260664731827134,
      0.258882067467003,
      0.316060538890655,
      0.245046387943718,
      0.188044615273096,
      0.280407918942531,
      0.164730015803265,
      0.239500326268049,
      0.308624190296033,
      0.246965552174886,
      0.377318705036046,
      0.429599825497756,
      0.424685521274909,
      0.471390812518055,
      0.718497972026028,
      0.976435728378479,
      0.938778640678434,
      0.417392663746692,
      0.263581545850106,
      0.243131297371756,
      0.258595667933234,
      0.221793224868382,
      0.277476144290781,
      0.264875786400684,
      0.245009390496374,
      0.271706290091194,
      0.32266479964145,
      0.551379831925235,
      0.619694761224649,
      0.448047238903494,
      0.551596238519889,
      0.534425836394295,
      0.452983937757436,
      0.545355750793011,
      0.616325587744063,
      0.478627266268015,
      0.462519733115755,
      0.592221745894273,
      0.547676501361869,
      0.510476457846752,
      0.411436260338649,
      0.220366816848547,
      0.475430506682534,
      0.579866216514063,
      0.257760087116865,
      0.20225983145329,
      0.420183967837245,
      0.323517961916222,
      0.563414462160122,
      0.596791369030393,
      0.601116393996059,
      0.483136119038869,
      0.162034084301398,
      0.352000276252998,
      0.585700307216292,
      0.399469052386859,
      0.129131192433181,
      0.540899318298832,
      0.221664195122542,
      0.452214791816853,
      0.620873912673318,
      0.589532764504386,
      0.387519966959271,
      0.351213372709418,
      0.254571089707872,
      0.413562308461549,
      0.440148740827952,
      0.27208436607463,
      0.251264384470655,
      0.402625623277478,
      0.326249188285644,
      0.552048674443619,
      0.608302595247964,
      0.587695177183515,
      0.462720041640675,
      0.107076420384118,
      0.429462455943028,
      0.555267077943918,
      0.359897201716677,
      0.140454230644889,
      0.520403826856348,
      0.204547402908347,
      0.512022549570703,
      0.61587898370617,
      0.574759103439544,
      0.341368350212802,
      0.313241528832154,
      0.244341950888872,
      0.347071646299848,
      0.409338556939915,
      0.265901275934533,
      0.292355870281652,
      0.418352113076306,
      0.339634213294982,
      0.539712528137888,
      0.545092938294027,
      0.488417424862569,
      0.519442888313148,
      0.198202663146863,
      0.503308503247046,
      0.578741059015503,
      0.234678046257126,
      0.18359434743782,
      0.466915963736191,
      0.270558341513765,
      0.557338686738895,
      0.635856306184386,
      0.536222486669902,
      0.332494207683856,
      0.262843471516418,
      0.301368938974079,
      0.328032178331183,
      0.401230475204581,
      0.25112748478993,
      0.366206592977407,
      0.406430817888946,
      0.359328007620375,
      0.513469388158776,
      0.534795937496571,
      0.471268293158728,
      0.50754878634998,
      0.160152465204983,
      0.553708315024185,
      0.525737517406977,
      0.21627200455402,
      0.118025467547979,
      0.244898236821564,
      0.221856354291393,
      0.211760804159909,
      0.135932317202123,
      0.227078478989774,
      0.340390674176103,
      0.269339442637637,
      0.402068149187462,
      0.781259509358988,
      0.413274285260884,
      0.409787620963521,
      0.401347538080378,
      0.359434267214626,
      0.400903207146731,
      0.409563927877258,
      0.237985587554453,
      0.241366205094873,
      0.465642575583529,
      0.217960867832826,
      0.465382703847421,
      0.438374543519838,
      0.456423362713596,
      0.142450843638153,
      0.41554523487843,
      0.248012687653744,
      0.237521171264219,
      0.144143069201634,
      0.138143860633152,
      0.371788831437133,
      0.242367271574647,
      0.417883823209293,
      0.780513066278591,
      0.422735521780331,
      0.344550765303863,
      0.425355027773427,
      0.351224530884647,
      0.408874641498818,
      0.400592709448995,
      0.263342071280776,
      0.236302058785452,
      0.410737801077281,
      0.206002187425429,
      0.48381430231737,
      0.445898000925429,
      0.446355519333889,
      0.128453715578608,
      0.446398521117241,
      0.220091616664478,
      0.219137834589357,
      0.117813965071104,
      0.150610838549327,
      0.395808105589161,
      0.143809368904435,
      0.38294343612113,
      0.322569191156129,
      0.248367550900616,
      0.187777557960092,
      0.449712497959153,
      0.431078559964998,
      0.699781665454169,
      0.603096097436985,
      0.497476677697872,
      0.478731341367093,
      0.378299111429058,
      0.16459222065033,
      0.646475419452421,
      0.439365099415029,
      0.183383598145564,
      0.412109417752991,
      0.436683965721136,
      0.45331280442702,
      0.74737783759414,
      0.519306920294104,
      0.40719980055971,
      0.478872885264183,
      0.141246012888105,
      0.404256281612137,
      0.369977874980002,
      0.235850939081541,
      0.187153319031054,
      0.478479091419867,
      0.405138688531926,
      0.761740469752412,
      0.588578457171467,
      0.51782186799275,
      0.479238339579013,
      0.278177079940181,
      0.207921003212269,
      0.625376296412067,
      0.403586508760328,
      0.185606406371882,
      0.456911645866136,
      0.37738587422275,
      0.548458132281107,
      0.726661361740877,
      0.473358361758004,
      0.394741372398528,
      0.437698599278637,
      0.179376373127756,
      0.370293531080681,
      0.390389415198389,
      0.315546212524621,
      0.157600182147537,
      0.40724744871051,
      0.290024142756283,
      0.524568853631143,
      0.563616052242886,
      0.550811130796552,
      0.45776259152453,
      0.251245592689676,
      0.2880694648984,
      0.659186157530291,
      0.391457453186068,
      0.164679716838077,
      0.468574529724436,
      0.244637162232001,
      0.446056202845973,
      0.618101539996844,
      0.535582249433925,
      0.36434161992538,
      0.513989893190502,
      0.196366785679758,
      0.377163893141767,
      0.403391887742655,
      0.286456070785542,
      0.179715150104214,
      0.370588308993748,
      0.310677799350155,
      0.539509107296398,
      0.569154796184448,
      0.572265690189901,
      0.459605885046664,
      0.195096864727482,
      0.346657614803392,
      0.648953328924598,
      0.334835048817099,
      0.149723102207409,
      0.24796300352363,
      0.179247214884254,
      0.214223112822094,
      0.322136562708844,
      0.20265440594935,
      0.127825313759193,
      0.441480964436463,
      0.255175314863148,
      0.677820996139019,
      0.582043738360147,
      0.501997065265781,
      0.265103684268154,
      0.439973877259123,
      0.350646150685942,
      0.423387964625683,
      0.257683743875259,
      0.280116428908278,
      0.434962508256759,
      0.228920367115536,
      0.380940434386286,
      0.436407152172534,
      0.439535680438028,
      0.27181868057202,
      0.450955850295091,
      0.234472338502787,
      0.402848860906233,
      0.494294601360349,
      0.17567307143329,
      0.177691873666653,
      0.377004701339102,
      0.304192775900715,
      0.742174073569663,
      0.511436450683399,
      0.452541289624384,
      0.309593135854568,
      0.403419332193504,
      0.370878042386184,
      0.419306757786175,
      0.234191722791719,
      0.285131605402197,
      0.432232264835816,
      0.220494664991837,
      0.431858631990239,
      0.426603209381199,
      0.468821521358077,
      0.211747689041127,
      0.302461624057079,
      0.315659402327069,
      0.197354239047423,
      0.176247812809454,
      0.146832455749314,
      0.15986195849769,
      0.121284339790911,
      0.140057799428739,
      0.217858569269938,
      0.219204965543602,
      0.311625242419603,
      0.166138277247331,
      0.28389012731032,
      0.123410788699653,
      0.32666686381892,
      0.163727830739202,
      0.181780862721419,
      0.456989885755225,
      0.279342201840901,
      0.213932606915548,
      0.318687677639591,
      0.332989442301931,
      0.251962811398756,
      0.423474799738758,
      0.402429293795536,
      0.202425491632342,
      0.249770991001409,
      0.429069365311125,
      0.347590379927786,
      0.273831841384557,
      0.350102933482924,
      0.406874574014472,
      0.410572918569594,
      0.225332415070083,
      0.364745404599291,
      0.37713800020206,
      0.409710209845531,
      0.507758448590745,
      0.493990725885573,
      0.507439162333215,
      0.422070103974954,
      0.106505383461284,
      0.574034200865236,
      0.600235349621521,
      0.194784754663954,
      0.202778966877119,
      0.353760682650742,
      0.2175590728483,
      0.542177606258647,
      0.595415027929945,
      0.420022526951719,
      0.388341784946025,
      0.237446812057336,
      0.43441154791923,
      0.775474786500681,
      0.430453000594547,
      0.357511067454812,
      0.426262784829316,
      0.350353329039969,
      0.420595136257502,
      0.384531878372817,
      0.252043512348605,
      0.239747004379274,
      0.392758249093235,
      0.210623339945584,
      0.513470029971306,
      0.449357298629666,
      0.438092419388402,
      0.302767178780694,
      0.329203582566596,
      0.285797937129866,
      0.419677438373236,
      0.38638306321433,
      0.141215345955738,
      0.40458812726149,
      0.233619936231534,
      0.457211953187796,
      0.751237756016074,
      0.448220988411315,
      0.295457388759454,
      0.471577820006764,
      0.364618124438809,
      0.411963804038167,
      0.373236559929932,
      0.283226915485383,
      0.271249515897298,
      0.392895057541443,
      0.240444108203219,
      0.510728006292211,
      0.466492557983822,
      0.409169929993474,
      0.129315375409646,
      0.402531799228961,
      0.204978658413601,
      0.233044736891214,
      0.113898847578272,
      0.15487052150438,
      0.108836748691708,
      0.331728040793305,
      0.420871752766492,
      0.250465750622131,
      0.323940552355963,
      0.360042620460668,
      0.254196925053637,
      0.391684834532567,
      0.264916353542355,
      0.277324791470962,
      0.594703105308314,
      0.975951864216765,
      0.385892643675992,
      0.280665093931026,
      0.243781536612811,
      0.27337700456575,
      0.325458459335993,
      0.218333353308438,
      0.124768671456238,
      0.25741991870605,
      0.169641358990584,
      0.202554395325826,
      0.276495191777363,
      0.270965541758274,
      0.467760068963342,
      0.582002663109853,
      0.631836585195337,
      0.443665853729936,
      0.618491310619142,
      0.991494453723364,
      0.751076839698185,
      0.95276262198534,
      0.999317796256558,
      1,
      0.997670067588423,
      1,
      1,
      1,
      1,
      1,
      0.80364744849593,
      0.797523238742063,
      0.864384951975592,
      0.740698141798764,
      0.679223656438238,
      0.79685082203787,
      0.743687424423514,
      0.696650280973988,
      0.781381804553583,
      0.706137248903668,
      0.726002748235999,
      0.699117386713833,
      0.80946804070273,
      0.568350417545991,
      0.940331702152126,
      1,
      0.943558252335391,
      1,
      0.998842273075437,
      1,
      0.979849533266115,
      1,
      0.929108013866257,
      0.87153480331418,
      0.850667685003895,
      0.563200473191617,
      0.402784405482132,
      0.432952496474331,
      0.664382536481918,
      0.71667608566254,
      0.246185960330793,
      0.60588392525369,
      0.357382116025613,
      0.498848244358165,
      0.7441183222686,
      0.633144147800792,
      0.394688935376459,
      0.907270765137236,
      1,
      0.969469468413823,
      1,
      0.994955941487527,
      1,
      0.98252691351131,
      1,
      0.922334592506544,
      0.875261941819312,
      0.816361283488013,
      0.570241499855049,
      0.32636301751423,
      0.487499253110462,
      0.680439617112869,
      0.638531712424193,
      0.263361325887374,
      0.602813480978542,
      0.357274213851729,
      0.537402347017128,
      0.752072222904002,
      0.606363326459667,
      0.347113559019123,
      0.913955589107909,
      1,
      0.989115189097117,
      1,
      1,
      1,
      0.999539061882585,
      1,
      0.944894183239789,
      0.962653968734482,
      0.656487325115212,
      0.588305224838543,
      0.348137370542242,
      0.517982877451364,
      0.732169207412049,
      0.54949273123703,
      0.261334771870983,
      0.574140966914972,
      0.339177726815758,
      0.657090099662441,
      0.800626206987864,
      0.591848484643071,
      0.329455604025904,
      0.956004172008842,
      1,
      0.984532448711545,
      0.999484949271561,
      1,
      1,
      0.999975272134967,
      1,
      0.94349575587673,
      0.965911279596965,
      0.583382919141491,
      0.610427912009881,
      0.304546324398084,
      0.563558696647727,
      0.71276237767501,
      0.483569658775587,
      0.19453320235905,
      0.393096607729871,
      0.294148514229556,
      0.494204184587568,
      0.513373227154461,
      0.331315843493337,
      0.345797387770114,
      1,
      0.998070175498652,
      0.988631996657917,
      1,
      0.990922645818985,
      1,
      1,
      1,
      1,
      1,
      0.391756920662334,
      0.485565866375299,
      0.300956783494935,
      0.493149965090017,
      0.487422992405377,
      0.512827927130675,
      0.23174596727641,
      0.477596755531505,
      0.245157452702878,
      0.308517081917962,
      0.273650874286753,
      0.233782417952415,
      0.476498459826419,
      1,
      1,
      0.984528240516969,
      0.996430007220694,
      0.988324252862684,
      1,
      1,
      1,
      1,
      0.983115065062509,
      0.353267246309514,
      0.43581350216824,
      0.308534794454373,
      0.493402821702229,
      0.484598139147876,
      0.476682605967495,
      0.228257680646714,
      0.509434589855828,
      0.233354380487269,
      0.325340738964256,
      0.269764209954887,
      0.227503996341958,
      0.555653502601913,
      1,
      0.972053257132546,
      1,
      0.941181013553061,
      1,
      1,
      1,
      0.93378962514314,
      0.910450727862783,
      1,
      0.609871915541601,
      0.73097640263708,
      0.387312288228118,
      0.648986188843515,
      0.761013817150712,
      0.643310538586737,
      0.5503399692956,
      0.609069411558678,
      0.451784669451403,
      0.696542194009216,
      0.52935090388407,
      0.614096895542816,
      0.697894610107883,
      1,
      0.975955512876117,
      1,
      0.946184053976238,
      1,
      1,
      1,
      0.891545306980412,
      0.943742684885746,
      0.992530357725838,
      0.584921533299651,
      0.688466954367555,
      0.437287253815127,
      0.65190286211161,
      0.778230037183751,
      0.568935588222455,
      0.594921353017209,
      0.54188160394349,
      0.520181008589482,
      0.694737890283184,
      0.493202045509502,
      0.582703324098697,
      0.797449178953202,
      1,
      0.968312234372083,
      1,
      1,
      1,
      0.930133769616099,
      1,
      0.91374097314295,
      0.92161235961663,
      0.889346558149347,
      0.544033832605433,
      0.403247255026385,
      0.351009452330726,
      0.784110416272464,
      0.687938678923454,
      0.260024178015817,
      0.542468849061213,
      0.524955664232687,
      0.452686144321403,
      0.796913493143509,
      0.539536109493762,
      0.377542632794664,
      0.867049017253924,
      1,
      0.973104910332439,
      1,
      1,
      1,
      0.906670624883318,
      1,
      0.921843917807554,
      0.911540549967306,
      0.852886076685387,
      0.555875252158345,
      0.336712557443279,
      0.385649063708156,
      0.771592336406862,
      0.652272300786947,
      0.231650774428415,
      0.372451004178825,
      0.46118785672742,
      0.335449842572435,
      0.67783995919615,
      0.301974384572587,
      0.168077340244451,
      0.89023178487124,
      1,
      0.995225106868041,
      0.993414915585509,
      0.990422125909461,
      1,
      1,
      1,
      1,
      1,
      0.643081459693598,
      0.488922543928591,
      0.301503701802742,
      0.445102549870762,
      0.487183663164977,
      0.500111608238515,
      0.369829154555687,
      0.502680361956501,
      0.292224180955955,
      0.426993777839357,
      0.58076426712918,
      0.325977034081735,
      0.23447503594184,
      0.937966431852319,
      1,
      0.990022315404327,
      0.999624935181068,
      0.985796621143331,
      1,
      1,
      1,
      1,
      1,
      0.569800971750333,
      0.480434681037858,
      0.297779913405498,
      0.488452067746329,
      0.473603816859158,
      0.515943015081678,
      0.302889952431103,
      0.366852752617457,
      0.31484112391826,
      0.267598504976737,
      0.291819429071226,
      0.273720949343034,
      0.305476275920857,
      1,
      1,
      1,
      1,
      0.998105181730223,
      1,
      0.993260092288078,
      1,
      1,
      1,
      0.520604837778435,
      0.46147383080563,
      0.329858754257261,
      0.312708892746147,
      0.345620264024935,
      0.40955513230898,
      0.327030290577911,
      0.464835020729321,
      0.43116678869552,
      0.312512569518469,
      0.320292173507897,
      0.498862813286628,
      0.384820042775905,
      0.996936850417419,
      0.994159684660484,
      0.996761236173972,
      1,
      1,
      1,
      1,
      0.999586390269003,
      0.904894211057772,
      0.892267695205369,
      0.613325216646214,
      0.469700777134511,
      0.227766668170872,
      0.590697225292603,
      0.709304353453859,
      0.300222900973974,
      0.279973657749382,
      0.598656267209685,
      0.392704965289537,
      0.584397257019501,
      0.60514281614288,
      0.444018728386294,
      0.461959519537887,
      1,
      1,
      0.979999610212443,
      0.998629634253333,
      0.986427928985481,
      1,
      1,
      1,
      1,
      0.981152221716612,
      0.340994350541525,
      0.421652154797549,
      0.297880016279553,
      0.551458322685437,
      0.488267636168884,
      0.491201560227421,
      0.391226032117862,
      0.421071431153288,
      0.277132708091612,
      0.489872683499257,
      0.537299861214001,
      0.234302171797619,
      0.557942797984149,
      1,
      1,
      0.991039393296947,
      0.985578777332994,
      1,
      1,
      1,
      1,
      1,
      0.948338169326867,
      0.349166543228057,
      0.439595872751838,
      0.32772798208552,
      0.524886183460802,
      0.506612422628358,
      0.464599076222522,
      0.234912954815612,
      0.459451908050758,
      0.220935468685817,
      0.34173146679258,
      0.258418937029809,
      0.221065141049289,
      0.313148311808143,
      0.977053789173295,
      0.972890365584469,
      0.975589596433814,
      0.954975203386957,
      1,
      0.996762136346791,
      0.929800657881584,
      0.987216894573602,
      0.993728635901124,
      0.818149622384453,
      0.599941013596147,
      0.423092445466544,
      0.383982490815732,
      0.338078164233486,
      0.334638512059764,
      0.347596626515158,
      0.294555914231544,
      0.233877245078744,
      0.318086174479383,
      0.25097320041448,
      0.256779209711758,
      0.299879090261376,
      0.321560113146278,
      0.570494291612039,
      0.527789461035086,
      0.612436293897899,
      0.565589880034705,
      0.86080434108508,
      0.952198775934925,
      0.630294468184509,
      0.745632250823527,
      0.649361074164949,
      0.651214448277879,
      0.710366934870248,
      0.680963071412862,
      0.632962626229796,
      0.650486030004496,
      0.579193690270284,
      0.624218647137064,
      0.56464176101161,
      0.610978471936039,
      0.760781571029963,
      0.532315371887743,
      0.594187580268416,
      0.631815760530914,
      0.560300502043763,
      0.599556470951502,
      0.623139513310537,
      0.550015130578213,
      0.545558197509342,
      0.603763114390109,
      0.640747781982854,
      0.462430926686011,
      0.582073384208517,
      0.286096939651829,
      0.508847940050434,
      0.399540110899141,
      0.301613060060038,
      0.268362298632961,
      0.705390271831977,
      0.382771729351011,
      0.591726454921278,
      0.810937493898351,
      0.528566591139537,
      0.600504717557173,
      0.527429002085401,
      0.381746077063989,
      0.740457253279286,
      0.591627203707972,
      0.170972132549536,
      0.579188974043849,
      0.785216054108319,
      0.677726764670595,
      0.578717517093128,
      0.449851086403005,
      0.342081011958202,
      0.569237726772639,
      0.313259347142938,
      0.472228475601781,
      0.384401040271241,
      0.301509912998104,
      0.313829298176523,
      0.659645423457704,
      0.415806166703755,
      0.584493873505209,
      0.779478161400836,
      0.550939557653296,
      0.568020816051188,
      0.453264534880592,
      0.432801072094099,
      0.717337416459313,
      0.547781403202946,
      0.171957791524942,
      0.656614139995297,
      0.71165652882208,
      0.700806641935498,
      0.591354271295648,
      0.440664121910642,
      0.313896494347324,
      0.602545101926258,
      0.416971629434761,
      0.4662194663446,
      0.652456178121489,
      0.372223350030457,
      0.31635737423544,
      0.541959489306889,
      0.407073661556566,
      0.737077023737626,
      0.569609163297217,
      0.469381450314762,
      0.566101564935843,
      0.456612180352592,
      0.469769976275963,
      0.806585580741426,
      0.373315915550857,
      0.217644160275374,
      0.658261863821139,
      0.364596649423528,
      0.695175925029885,
      0.590157984910683,
      0.490764190049408,
      0.316341053508563,
      0.577574167017489,
      0.473212346162762,
      0.445816041617938,
      0.652672702483096,
      0.320311523716242,
      0.352599926856025,
      0.512434836240062,
      0.436846086905479,
      0.752680746655351,
      0.526206309534738,
      0.446191633477485,
      0.540755549685514,
      0.437947441533707,
      0.539804523231576,
      0.738769248997716,
      0.327819049489049,
      0.166387485912039,
      0.508872435441586,
      0.355299540504378,
      0.533399358995419,
      0.361068397248267,
      0.225210486878426,
      0.306669521744517,
      0.308532868776362,
      0.459496940559843,
      0.646550564239961,
      0.644668642351947,
      0.454221156905196,
      0.39751938371701,
      0.376420452431333,
      0.439409170850855,
      0.696784728199165,
      0.376378731907865,
      0.240513151510914,
      0.463148121424845,
      0.254715560718904,
      0.491487520181306,
      0.484361235509058,
      0.469280356385402,
      0.22052046120589,
      0.421505105337088,
      0.20632332381799,
      0.243810196665498,
      0.234649786838448,
      0.208674259219687,
      0.39939629879593,
      0.269604433217771,
      0.520819097525884,
      0.636915830812912,
      0.698482291104509,
      0.410860744514552,
      0.427897237345774,
      0.368390217641075,
      0.444336268936103,
      0.728655379960196,
      0.350475471802196,
      0.243134244725624,
      0.431227116440285,
      0.263978281428617,
      0.487870513372499,
      0.4694848929655,
      0.435301055876722,
      0.221462527412785,
      0.440419395652675,
      0.19359237673567,
      0.247219842938158,
      0.238689320413172,
      0.186182318171948,
      0.518158885410542,
      0.454849583331217,
      0.474773487747462,
      0.515115868527149,
      0.558348985709983,
      0.254885303812708,
      0.430760150065764,
      0.298463262050705,
      0.416781932269266,
      0.676974151076423,
      0.623466135783744,
      0.637574509810369,
      0.758528062480012,
      0.381291098856816,
      0.58459190475935,
      0.794422421491259,
      0.388818587390297,
      0.40667159917084,
      0.339460323751427,
      0.314248027820953,
      0.630503257853033,
      0.47823873262571,
      0.61662068198649,
      0.545023822522989,
      0.414504042560538,
      0.527236057535909,
      0.502635430390693,
      0.550265411668233,
      0.217028176717102,
      0.473799581045385,
      0.27681467761665,
      0.43291379986562,
      0.709765374584306,
      0.634684848204407,
      0.639521143304013,
      0.702372425173794,
      0.37189590393661,
      0.627353630021486,
      0.727771276677363,
      0.36010656340606,
      0.422518811483363,
      0.301080714865531,
      0.356032980971831,
      0.63046353504491,
      0.48248283937476,
      0.567551887547742,
      0.697103821820525,
      0.485272164717587,
      0.662476412640079,
      0.490568669513205,
      0.394631475904116,
      0.201740875229928,
      0.809365847239982,
      0.509616149800602,
      0.652960644494872,
      0.755290546467746,
      0.583019525559897,
      0.503163800216475,
      0.503962712973192,
      0.345656827083939,
      0.64045050182567,
      0.618051406835165,
      0.192167914100565,
      0.439080934298077,
      0.580714302409591,
      0.550515961602384,
      0.652708684219134,
      0.454256713843064,
      0.33311894061036,
      0.581581571605503,
      0.492500202014364,
      0.615368053710983,
      0.501542182902833,
      0.365003638492831,
      0.221290770419884,
      0.851542214954988,
      0.471904725018897,
      0.694697316876852,
      0.730582239049357,
      0.584750097623258,
      0.509022248760931,
      0.458684625492775,
      0.340608626477508,
      0.634497103365725,
      0.581273408443836,
      0.175691397256176,
      0.236803296385932,
      0.551215497238367,
      0.452969646168392,
      0.507551644633921,
      0.232165924094891,
      0.148693794761985,
      0.462426928862817,
      0.324559474480505,
      0.621870583103607,
      0.657355938836628,
      0.56590335854048,
      0.326508202931791,
      0.450055349190491,
      0.33505934637138,
      0.633943021787895,
      0.53834995617411,
      0.269978075233893,
      0.450226189271585,
      0.24710970740403,
      0.465249470716369,
      0.430718429997797,
      0.47811562531179,
      0.329560365638664,
      0.448336871157541,
      0.211497536354474,
      0.377096350854078,
      0.553253203019725,
      0.301414181544117,
      0.212863280909916,
      0.421927766074409,
      0.369852328405334,
      0.654279360595794,
      0.643778747673715,
      0.541823515162529,
      0.354437835253071,
      0.41465681915032,
      0.373349286249366,
      0.653778488442005,
      0.477471219407717,
      0.273928611948278,
      0.441485997930389,
      0.248785045122552,
      0.492536353889313,
      0.430370287586862,
      0.503209011442859,
      0.268636413700513,
      0.319745025182883,
      0.266199898878774,
      0.209784690440965,
      0.217579167640829,
      0.22467531076432,
      0.222862220771765,
      0.201577700580282,
      0.205319026863981,
      0.288436928097686,
      0.217160535968658,
      0.312952942147792,
      0.166806975059052,
      0.298712263221398,
      0.15729601594355,
      0.325713261416324,
      0.142865737075645,
      0.201261394266337,
      0.422879990982331,
      0.277486979175502,
      0.275900004294609,
      0.318526672587354,
      0.377237566701603,
      0.272086653696897,
      0.404827050555017,
      0.403986114493557,
      0.245764572297718,
      0.2989037867923,
      0.555393784419272,
      0.451857817943108,
      0.417087801019162,
      0.487658933738047,
      0.383889251908623,
      0.389115080447411,
      0.266457657776312,
      0.324144673367877,
      0.319214818059483,
      0.401589278201653,
      0.654547042567257,
      0.514491027504477,
      0.493349460149086,
      0.550717745852031,
      0.382151032768082,
      0.508720950451334,
      0.610221308929476,
      0.214384298912859,
      0.221623159036387,
      0.372377488844784,
      0.195742710910985,
      0.498348096045848,
      0.461263411297287,
      0.400667705760398,
      0.384957605941482,
      0.28046147999826,
      0.515288367249052,
      0.625440101524929,
      0.68732454498135,
      0.41579738510499,
      0.425150262194893,
      0.362982749639355,
      0.454890959068619,
      0.723341735151144,
      0.343324565937634,
      0.228755108534534,
      0.407305203675515,
      0.267745650400095,
      0.542828274492258,
      0.477919776610227,
      0.449823327469745,
      0.360119318360849,
      0.31087855042792,
      0.242938308556918,
      0.43699510987927,
      0.512244516038135,
      0.202704339849707,
      0.419570198633221,
      0.259107483911768,
      0.573009462851631,
      0.589694089193327,
      0.727717850407169,
      0.361603168566976,
      0.450282357188349,
      0.346703781048105,
      0.495517401862807,
      0.695165845995287,
      0.32643365541676,
      0.267466906450686,
      0.427072816013227,
      0.299697325885856,
      0.502902644783197,
      0.474211540013386,
      0.427781340725969,
      0.222786458140062,
      0.397024536884247,
      0.185548656640932,
      0.243103179295369,
      0.231846559324433,
      0.173210756117824,
      0.233298368914273,
      0.612705295650752,
      0.687500742370874,
      0.626873604194052,
      0.58779298331244,
      0.648226745609039,
      0.579530775839507,
      0.615445171648704,
      0.613941924876395,
      0.668977601640031,
      0.536929660514371,
      0.410078331553354,
      0.352644147955396,
      0.290200356000804,
      0.280029220041442,
      0.286449735641886,
      0.322275250453504,
      0.295223743350899,
      0.218354390174795,
      0.265744319846628,
      0.217530299568731,
      0.281496077163081,
      0.307703208177023,
      0.358431703930745,
      0.475921632568379,
      0.488459871349278,
      0.617741852213939,
      0.940836446434363,
      0.790428406614618,
      0.912872908928848,
      0.511114292193028,
      0.418767262122621,
      0.270900805857344,
      0.249310399482069,
      0.323512598549668,
      0.25240686570438,
      0.239051989330908,
      0.258289658883979,
      0.19967273220998,
      0.253161476609992,
      0.573635024112647,
      0.934216169196709,
      0.764641047939155,
      0.439438911484632,
      0.525601848359933,
      0.530786890523316,
      0.446537248760022,
      0.536949096855694,
      0.569559062959915,
      0.467798163639691,
      0.447794887609868,
      0.562395034275616,
      0.55133523871405,
      0.475305463510461,
      0.43574557299862,
      0.122177462293434,
      0.448069722920429,
      0.340268609265038,
      0.142414592753774,
      0.196603947447454,
      0.303564249236775,
      0.168313415249587,
      0.522287114608967,
      0.591908036285776,
      0.45568851801873,
      0.46769165564853,
      0.187093823288481,
      0.35481067500475,
      0.55440387312551,
      0.278035379698989,
      0.105102020193736,
      0.391534558778143,
      0.224187055141366,
      0.414503083635605,
      0.571504878193947,
      0.434552596290608,
      0.375516377090487,
      0.358654508482229,
      0.150785131088462,
      0.396903963229989,
      0.301675265131406,
      0.136150508513078,
      0.235349798033591,
      0.237966420741206,
      0.202643352416436,
      0.522875131158143,
      0.573934859089549,
      0.469667447582972,
      0.445055608185233,
      0.177742719901207,
      0.378909834327644,
      0.54111677081296,
      0.246071246425407,
      0.11559950074721,
      0.40022661660845,
      0.193607664439149,
      0.458227131833708,
      0.576608436964941,
      0.42443890153393,
      0.334159978302847,
      0.438512079795172,
      0.221337090509075,
      0.391373254381923,
      0.289130980509386,
      0.149222623828359,
      0.248037241650705,
      0.277506225032197,
      0.278063382490674,
      0.596347265242011,
      0.502500063845837,
      0.451349024152735,
      0.433417537535271,
      0.266540406760653,
      0.456488211621908,
      0.601798874242994,
      0.226431693149659,
      0.227779921736891,
      0.426847784657101,
      0.210933209137476,
      0.523917576229937,
      0.590173434597022,
      0.466918448422122,
      0.349044583347139,
      0.375002896459075,
      0.286988937235308,
      0.34401490242682,
      0.27514422696748,
      0.151249396285521,
      0.285199931711324,
      0.251673356981514,
      0.328307292675199,
      0.59395015252997,
      0.475328591163897,
      0.446487889395743,
      0.399386517934192,
      0.259874325952434,
      0.534837776170936,
      0.544947412400988,
      0.191168441209683,
      0.192904246613305,
      0.231203421797712,
      0.191536074112994,
      0.137741939420325,
      0.167048421432069,
      0.179834543423751,
      0.304339748077281,
      0.201482841427353,
      0.265468012241191,
      0.522537300362269,
      0.428654243908834,
      0.340085307480088,
      0.309101633285486,
      0.147885827103662,
      0.382416177206908,
      0.496746394120607,
      0.257566547800348,
      0.208028598900187,
      0.4147503280332,
      0.156488583054778,
      0.375036645196636,
      0.398622565318781,
      0.383640792939172,
      0.150524399271838,
      0.400614662227446,
      0.220963676869311,
      0.193213618099761,
      0.132496207896742,
      0.139057257110539,
      0.371013504593833,
      0.152568116484346,
      0.316442474828843,
      0.504763390145507,
      0.456148185994884,
      0.28069376019817,
      0.335946566141782,
      0.164164343067164,
      0.386082377125457,
      0.525327754523954,
      0.255248391175353,
      0.205917965422879,
      0.372125205578158,
      0.147599705810505,
      0.390029516411966,
      0.376010578169611,
      0.348306972552901,
      0.14732842229836,
      0.428782543763265,
      0.208079100265817,
      0.187252004331998,
      0.136110585726309,
      0.13605943310701,
      0.377902781845264,
      0.128875796482781,
      0.362611402528233,
      0.267143206368384,
      0.185866644921841,
      0.0862008725231985,
      0.320883160428819,
      0.125991958324467,
      0.391016432818596,
      0.555807987056484,
      0.418752667705647,
      0.437449954596763,
      0.361483799450063,
      0.212265855597564,
      0.585308708467873,
      0.438074627103118,
      0.154293099307672,
      0.330404467881056,
      0.251344412668971,
      0.311405636714444,
      0.53663253052309,
      0.503193221997488,
      0.433166808718142,
      0.395915666432684,
      0.12647239684446,
      0.385931095669452,
      0.282132628728592,
      0.165103757312111,
      0.0923880344302623,
      0.324999849270061,
      0.119159136634389,
      0.423218892520554,
      0.573802844465315,
      0.428523734768,
      0.441889891281497,
      0.287152002886305,
      0.262175916918377,
      0.577858803119032,
      0.40914628183167,
      0.145979769909598,
      0.347200246750703,
      0.212211942422929,
      0.343579454602644,
      0.536023829940608,
      0.494059136044192,
      0.392614382845437,
      0.437508778791374,
      0.188203458318948,
      0.514968555906617,
      0.348091281705578,
      0.177206673014398,
      0.134107940029446,
      0.325207234491012,
      0.16050666922319,
      0.546491587246065,
      0.614796269824423,
      0.486738332520141,
      0.46520591890982,
      0.347210585415141,
      0.394178167196039,
      0.54981284831787,
      0.443450810841295,
      0.132573575716256,
      0.37342351836836,
      0.281534321634287,
      0.401265836309423,
      0.61076307183919,
      0.428229684545364,
      0.362424614317578,
      0.421737684982867,
      0.182335035152938,
      0.504900337187609,
      0.335838053760997,
      0.158422168984272,
      0.164733777500053,
      0.297083344749845,
      0.185168072131315,
      0.580145857127849,
      0.60005341480503,
      0.505819372201537,
      0.461617713351123,
      0.306563964801948,
      0.402738021089049,
      0.540190462214183,
      0.387754221864875,
      0.121048961705607,
      0.143615361285976,
      0.265163115042814,
      0.111492157675101,
      0.283031635289673,
      0.118699929838369,
      0.127616894631027,
      0.368203855776428,
      0.133172902015222,
      0.490111010104736,
      0.483499999266376,
      0.424619599025702,
      0.227400438142007,
      0.236043994299783,
      0.255935627435719,
      0.457410865517157,
      0.408678119156458,
      0.199490978346367,
      0.401853215045582,
      0.173645903050407,
      0.322300203788622,
      0.37165570758079,
      0.38798734079412,
      0.241292516676567,
      0.380969004131839,
      0.194875215454693,
      0.387578336376454,
      0.511842475809915,
      0.17922343838854,
      0.19938889948772,
      0.330294255534091,
      0.170653104747574,
      0.523544370419577,
      0.447357986508196,
      0.392031207319774,
      0.27029858665755,
      0.194303624785891,
      0.306739254354565,
      0.466476895767987,
      0.357901597996597,
      0.206555255266697,
      0.39243293822787,
      0.16401384012823,
      0.338705428557387,
      0.375709238724343,
      0.410275868118773,
      0.192460373391309,
      0.292284768403343,
      0.291740948459071,
      0.173143184410155,
      0.158659135490161,
      0.142877383277842,
      0.117582136288269,
      0.0675697904077357,
      0.0835719627865779,
      0.135274427852601,
      0.111103946166818,
      0.133319924308679,
      0.176168054758112,
      0.379337208003809,
      0.149208823392073,
      0.192919651010002,
      0.152522003035295,
      0.197962193981088,
      0.413838101924734,
      0.27393674426651,
      0.349961623378643,
      0.334425083327692,
      0.317620879320312,
      0.204589517751119,
      0.390599008849797,
      0.39147884836682,
      0.206014269776741,
      0.256278297742553,
      0.381302048620098,
      0.370048255171043,
      0.324608987771868,
      0.330859696499643,
      0.322529994123928,
      0.280268347622275,
      0.120363811015833,
      0.260264972708596,
      0.140204275387485,
      0.345062694592743,
      0.577495992135876,
      0.543958380697488,
      0.497210077429947,
      0.470071570500836,
      0.177670441011647,
      0.51275366814759,
      0.505071600156714,
      0.220832341836825,
      0.191857939712254,
      0.297144997403078,
      0.167100682629287,
      0.521455461748082,
      0.538809050671461,
      0.44478875120253,
      0.378845281127813,
      0.160789440418079,
      0.307369863770608,
      0.503411217914939,
      0.460472683412669,
      0.281250214649031,
      0.323847304203867,
      0.158653845766782,
      0.387031443300453,
      0.519157289262577,
      0.241728517219905,
      0.212145932844077,
      0.359388946559759,
      0.155085782483908,
      0.440863193993589,
      0.388140459270232,
      0.367004948588863,
      0.286876472735096,
      0.252372312818483,
      0.271118744703924,
      0.412165528013043,
      0.410627787474647,
      0.136886893126151,
      0.382406898277198,
      0.134958559558153,
      0.363282840968299,
      0.477456965388894,
      0.496421683464099,
      0.241012369014223,
      0.330617911258586,
      0.174274984648221,
      0.391992424772176,
      0.497831566373588,
      0.246136006349301,
      0.236945169799773,
      0.362480224258284,
      0.171572903565507,
      0.413771965032393,
      0.381808135068919,
      0.341918544916644,
      0.152782484201631,
      0.390143676062974,
      0.215017036987854,
      0.177849960259733,
      0.134953602386736,
      0.131992369749929,
      0.101543738331905,
      0.419287073057735,
      0.443705265415015,
      0.366661800685241,
      0.378641501032589,
      0.424432856817338,
      0.352375478996919,
      0.406334716489601,
      0.335700540902694,
      0.375336285248798,
      0.391212856231787,
      0.314557527106214,
      0.331465312875293,
      0.292787083833419,
      0.276249237510539,
      0.346268412195674,
      0.336439482368551,
      0.33775359394567,
      0.204946047994028,
      0.292659131715982,
      0.240010112276161,
      0.299854515534968,
      0.270693040819581,
      0.32197203545624,
      0.507291411797943,
      0.378408855946291,
      0.363593767957898,
      0.347136799917494,
      0.383688039861941,
      0.913961695759397,
      0.34237314261082,
      0.36484227602083,
      0.212615070884809,
      0.194316583521309,
      0.252689699077527,
      0.214928590782523,
      0.202916015319685,
      0.227471531045752,
      0.187673947711144,
      0.200523710755985,
      0.482620465765731,
      0.751445650685735,
      0.763523363346934,
      0.59709477471738,
      0.675447847658483,
      0.657691295995551,
      0.625965058663845,
      0.689517698802239,
      0.708416762690111,
      0.626647202791741,
      0.593077126180193,
      0.683877180218527,
      0.681495453058797,
      0.617036670776433,
      0.484415862685679,
      0.131388290478363,
      0.482342611957001,
      0.424801602900475,
      0.246665576842387,
      0.207823946008698,
      0.326233488736395,
      0.156636964607316,
      0.524100419637596,
      0.588763917918279,
      0.560817476568464,
      0.491413883429418,
      0.205465304106488,
      0.395797578753879,
      0.607914126202972,
      0.435869438214108,
      0.149588162001493,
      0.478679177202676,
      0.212931432385847,
      0.431485322668076,
      0.626082588023295,
      0.464094443905383,
      0.43656616891774,
      0.394325377738939,
      0.164573982230935,
      0.456378797556763,
      0.371193316503938,
      0.24423662288922,
      0.252446985734587,
      0.266684330836211,
      0.197908253033616,
      0.521129465739771,
      0.562088404684485,
      0.584795854367177,
      0.467111601100347,
      0.179125216713897,
      0.432922600787897,
      0.61500755639471,
      0.396058440400536,
      0.151079950873466,
      0.469838612219559,
      0.197393571813957,
      0.48026875487559,
      0.630609517465428,
      0.45703384678327,
      0.405767377669429,
      0.392122752393155,
      0.201545490910346,
      0.459543436655378,
      0.343381735302342,
      0.138192654050841,
      0.314508064275876,
      0.262900671227597,
      0.265426401201266,
      0.56620086330512,
      0.492145237703192,
      0.562910980639855,
      0.486316084170071,
      0.202033666933396,
      0.54966261467503,
      0.641893202989679,
      0.339982527403436,
      0.291655410158003,
      0.494516956674088,
      0.236346877598814,
      0.558550372803832,
      0.668758928550242,
      0.472882489287534,
      0.40115422762744,
      0.323893523947431,
      0.271866587422287,
      0.416839127808748,
      0.324450082649344,
      0.130819442311117,
      0.35222293877514,
      0.227073643811703,
      0.312347985864461,
      0.562687314804297,
      0.471912707694696,
      0.531349611590859,
      0.448675033199128,
      0.20897725425201,
      0.613307682770491,
      0.619074344815975,
      0.30665338496425,
      0.245754966356274,
      0.242548670278881,
      0.224863627401374,
      0.164494139269865,
      0.173430659780515,
      0.115530712955018,
      0.350134636828499,
      0.239232447668617,
      0.301020558765745,
      0.6515885634962,
      0.529928853309847,
      0.409522138250512,
      0.400821903730703,
      0.16201396296115,
      0.417766232917584,
      0.528969216390474,
      0.255256259038884,
      0.173665878243391,
      0.487402640059529,
      0.161317039432894,
      0.495414436254471,
      0.46192365790751,
      0.476406389503266,
      0.171041230888717,
      0.499348472921094,
      0.282951705791683,
      0.235353568212351,
      0.134867032240144,
      0.152443005945583,
      0.42908630372103,
      0.178339789434939,
      0.389739608401795,
      0.637125051259597,
      0.551385360208359,
      0.337813298754221,
      0.426824259779192,
      0.173605346463607,
      0.446185599170789,
      0.563984950707717,
      0.235266104083988,
      0.192608610446406,
      0.425709372794375,
      0.161638319675429,
      0.503272704618583,
      0.429280359392663,
      0.451261232656853,
      0.150631946469596,
      0.53056919939881,
      0.265130631916973,
      0.227776920985113,
      0.130251831413034,
      0.162335435527542,
      0.42553089492678,
      0.126685920125956,
      0.458748267939159,
      0.325443807443231,
      0.223796486691727,
      0.0908078106716626,
      0.395760278753588,
      0.12913301003317,
      0.411394840860678,
      0.576883164560187,
      0.454712991988298,
      0.500513135043522,
      0.411717936740901,
      0.224476461760041,
      0.619720584809154,
      0.575790115043316,
      0.181162580674056,
      0.390552021470637,
      0.341391063236722,
      0.371218970455798,
      0.589836236039777,
      0.530486076411707,
      0.488271202599878,
      0.456012832897334,
      0.122382088923012,
      0.490402546907442,
      0.3425551998977,
      0.179807348803359,
      0.104508903390434,
      0.396224483662373,
      0.119918283164893,
      0.453061149181857,
      0.601337879888675,
      0.477171169978081,
      0.482143018546866,
      0.315881999043911,
      0.279687522291624,
      0.61487735125493,
      0.55806971034021,
      0.162993674221481,
      0.414107666759662,
      0.285086813915142,
      0.409033320792024,
      0.606570673707894,
      0.525389158744399,
      0.456158113394532,
      0.452422102900149,
      0.170100151309303,
      0.477859259389502,
      0.369659555105422,
      0.210469860862708,
      0.136084985124191,
      0.386354399277509,
      0.1387550617589,
      0.577194507077572,
      0.634085690320311,
      0.522763707175808,
      0.506067304303123,
      0.295490276312303,
      0.536554408016701,
      0.598614050592762,
      0.522990549434758,
      0.15067060007721,
      0.443560870774143,
      0.259590232327672,
      0.373777483152546,
      0.62305002479415,
      0.468776736817342,
      0.432694963925565,
      0.407105944437638,
      0.168881715469815,
      0.492494673675107,
      0.370449913572295,
      0.179053294739631,
      0.177938973230711,
      0.342935599149071,
      0.156679491591502,
      0.599991292502106,
      0.602272156633387,
      0.541073143165638,
      0.505561158640595,
      0.22648376527246,
      0.586269317810322,
      0.598976405036864,
      0.464968377542175,
      0.123358241214602,
      0.136753447219791,
      0.215116042355624,
      0.100205378777067,
      0.220907322905546,
      0.124461656029546,
      0.150601823659424,
      0.443634864598877,
      0.132234214558108,
      0.626748902708614,
      0.569786654159406,
      0.527742405317342,
      0.285066887397314,
      0.301126959016522,
      0.249743078765126,
      0.513054657708458,
      0.433705649547272,
      0.176978841011461,
      0.456816524404565,
      0.186929281833233,
      0.401599229109546,
      0.46950446814465,
      0.472361843657801,
      0.303188589893761,
      0.50170558749683,
      0.241932550614363,
      0.408375114634253,
      0.628777566770097,
      0.223998997403419,
      0.232330645988806,
      0.402773046528367,
      0.174816173828017,
      0.66657160702338,
      0.539524166101577,
      0.499099745306112,
      0.338488201656389,
      0.248635320765565,
      0.316017190844252,
      0.513562199011231,
      0.375206607736976,
      0.172621476464005,
      0.446463856362348,
      0.165123907080267,
      0.43682705809611,
      0.45562968041749,
      0.492379923576573,
      0.231796887997602,
      0.348242403450879,
      0.363371068595389,
      0.212560442038637,
      0.1699273554752,
      0.151751322975275,
      0.110665292924638,
      0.0443595228473926,
      0.0711178978773313,
      0.125282463875934,
      0.204030988999477,
      0.23790294940426,
      0.320599432370575,
      0.402563611885063,
      0.282763412023916,
      0.340798916509818,
      0.144354677813548,
      0.1674572251664,
      0.511341515127835,
      0.438679512849779,
      0.428614788099859,
      0.520033125003381,
      0.389986616386424,
      0.26795228885549,
      0.590183973366442,
      0.427045916318998,
      0.233715396465348,
      0.355503084708505,
      0.454540508519213,
      0.446086134304777,
      0.273405189674803,
      0.383524195334351,
      0.390401614971181,
      0.350532692058506,
      0.132759277783018,
      0.337984229182485,
      0.180751988925502,
      0.364457623380105,
      0.598493288033792,
      0.562783713323731,
      0.578723984367499,
      0.438608664871854,
      0.140465353286505,
      0.640339634316528,
      0.623863719873281,
      0.28590121096176,
      0.216295360012561,
      0.435996051823368,
      0.193595473286794,
      0.580713649032363,
      0.616841638838006,
      0.48749526427465,
      0.462579623881544,
      0.187723797334579,
      0.36640624740597,
      0.626445819887296,
      0.554741483706655,
      0.341242880657411,
      0.414667146112136,
      0.162432267297457,
      0.438337264861463,
      0.558077769599,
      0.23840627391619,
      0.184490971296009,
      0.421043450961717,
      0.167005362335328,
      0.558363705745419,
      0.450997390320239,
      0.454936010129446,
      0.346170935234801,
      0.359406850607398,
      0.283802968773367,
      0.478608510974705,
      0.531944327001608,
      0.158739432065117,
      0.464260585253018,
      0.141224273200188,
      0.439120093839879,
      0.595524009940302,
      0.608610499020666,
      0.278765643778796,
      0.429480603010614,
      0.165013743914625,
      0.463103056307267,
      0.534666269206415,
      0.219866779858065,
      0.233080531491492,
      0.425538806462348,
      0.193955959259434,
      0.533398691768717,
      0.451062990338132,
      0.438643464529789,
      0.15659476268498,
      0.482653466074713,
      0.259641827938308,
      0.211426788915283,
      0.121350102793981,
      0.150518005835233,
      0.0866555994942054,
      0.331536760855337,
      0.414961657030566,
      0.293357907848034,
      0.332378857352791,
      0.382841870603384,
      0.266872434780141,
      0.340433379325396,
      0.30359314723208,
      0.321201124293352,
      0.444224304886774,
      0.457697363047104,
      0.314951196337854,
      0.297117319043451,
      0.24806946203525,
      0.280065407830693,
      0.305782230927835,
      0.231729651131855,
      0.193520030272816,
      0.248619348295429,
      0.201272050145246,
      0.248141546111357,
      0.279742193582498,
      0.262582104938185,
      0.356679261115367,
      0.362865752674965,
      0.484177763464442,
      0.280525635675578,
      0.328905696402731,
      0.893614154215654,
      0.272013751926632,
      0.459019719869353,
      0.429061039108539,
      0.35432156136284,
      0.391044497279046,
      0.3958954458473,
      0.373079443165332,
      0.481375351324663,
      0.414514247621609,
      0.314467350059287,
      0.48335499098042,
      0.419496211486841,
      0.799909740468748,
      0.761522641705903,
      0.823096875548497,
      0.767229494051504,
      0.748999024746089,
      0.865914614941633,
      0.847614166365268,
      0.762042394333558,
      0.75812745778746,
      0.831282048944204,
      0.766630827211249,
      0.910315938746033,
      0.619107671775352,
      0.193519733960582,
      0.603866225304493,
      0.558080026319837,
      0.343609114268796,
      0.267539283369827,
      0.464769712606043,
      0.214629856722523,
      0.838349898909419,
      0.859616362407097,
      0.72706710484886,
      0.596968169273968,
      0.287190735275519,
      0.551291885627463,
      0.988646094590223,
      0.679865115645132,
      0.28558092344937,
      0.635695894230059,
      0.338235617103935,
      0.597847780953406,
      0.883278983083448,
      0.770757733023258,
      0.588271466876483,
      0.507011700042908,
      0.221696896154135,
      0.5909970688193,
      0.509384049508879,
      0.341497348365712,
      0.335315158449892,
      0.398725282059564,
      0.280840279888825,
      0.835518982989433,
      0.842058589049402,
      0.745153844573084,
      0.531710211504105,
      0.199909951993335,
      0.646665538880461,
      0.978882942476888,
      0.611010988076373,
      0.265970790569906,
      0.624122615495118,
      0.302221168403875,
      0.693715372428115,
      0.872871570433762,
      0.751202347847104,
      0.509381851307752,
      0.481562827693378,
      0.250361565230875,
      0.583141886520885,
      0.491944797879455,
      0.178337884971432,
      0.401109228635548,
      0.348405049340869,
      0.351311948134103,
      0.835569355266195,
      0.776025476349292,
      0.660727414115212,
      0.622769138774377,
      0.280331346326122,
      0.8163542923533,
      0.996617618296245,
      0.658042087471973,
      0.352251650899671,
      0.697320261133016,
      0.306956623346946,
      0.796679434852877,
      0.897249956473092,
      0.700869554738522,
      0.48427337022867,
      0.41589983399945,
      0.329656700442529,
      0.536712402614854,
      0.463368487612544,
      0.167482724487027,
      0.454568937528916,
      0.302399113986716,
      0.443818586540537,
      0.818706761567461,
      0.752046375197703,
      0.626912903556383,
      0.533749090856465,
      0.28953273231807,
      0.862871325323379,
      0.981609868028403,
      0.623629641312223,
      0.227520951391675,
      0.294965382437846,
      0.269353400092167,
      0.257560003181346,
      0.257620777417438,
      0.239225730296418,
      0.411653134005972,
      0.347625933608026,
      0.373282599127911,
      0.822758508280724,
      0.711566872083404,
      0.552254090409186,
      0.515558786654455,
      0.253586627574717,
      0.514507747191817,
      0.640222941806041,
      0.283921210885395,
      0.166825753560077,
      0.620249106309702,
      0.202194972915908,
      0.530914839554533,
      0.50098699928789,
      0.517072300348738,
      0.210363559549684,
      0.627836229779081,
      0.385416656765418,
      0.349029569632298,
      0.193951673909522,
      0.236337915315366,
      0.491527555315868,
      0.265487575220559,
      0.483048482093952,
      0.80986592118783,
      0.730668933960925,
      0.446768101854772,
      0.534774694393367,
      0.240715091025485,
      0.547850359915517,
      0.649152533083893,
      0.241270487577789,
      0.189245071571042,
      0.510559765677962,
      0.197383382334024,
      0.518431082590242,
      0.459681606452345,
      0.496011657924109,
      0.190078863860109,
      0.674800440026584,
      0.357892733354455,
      0.359462114382439,
      0.182510462780962,
      0.22554992276618,
      0.507282674893551,
      0.201121156545741,
      0.698447061541065,
      0.454616845144877,
      0.326397968644932,
      0.118762863222234,
      0.539130859931867,
      0.170330906887504,
      0.635504064746119,
      0.828832593083573,
      0.605532384199309,
      0.598520571059669,
      0.555788104819325,
      0.400883730334348,
      0.959032314345618,
      0.923004301004058,
      0.352848880317894,
      0.473553606068075,
      0.472051922001452,
      0.414028483697747,
      0.87438918638321,
      0.775162800847403,
      0.693963102234006,
      0.551296682165153,
      0.183469427805622,
      0.735159179767224,
      0.468105127282062,
      0.269654996290524,
      0.141740645216199,
      0.545132164423964,
      0.157794067015316,
      0.697930330163926,
      0.851663487758826,
      0.614308116918862,
      0.569566446242237,
      0.399253164719091,
      0.451396545226182,
      0.977714867443946,
      0.883078764088122,
      0.313288055867972,
      0.520329512678994,
      0.416894822413144,
      0.484461786175537,
      0.873613968345286,
      0.765480305596503,
      0.655888612769822,
      0.539396467628834,
      0.222254396681767,
      0.587413547076993,
      0.493044596826635,
      0.308853189887397,
      0.178145641830814,
      0.491366788230567,
      0.191653027634489,
      0.864768591123661,
      0.876787167297315,
      0.679526489029638,
      0.610794666732593,
      0.369007537729758,
      0.552170542159812,
      0.955782070673382,
      0.793666896087129,
      0.333058396447893,
      0.581523526248477,
      0.422960191296194,
      0.540248886899033,
      0.914272514487478,
      0.718259328997205,
      0.580867247077269,
      0.506356833740951,
      0.218005382717625,
      0.598574856009194,
      0.505348630750634,
      0.257613294145383,
      0.233510463083083,
      0.44699587624535,
      0.219244168723359,
      0.881302205325039,
      0.911553239966225,
      0.6881032507658,
      0.560463205729865,
      0.253688085647878,
      0.651163283790379,
      0.957337818508062,
      0.73631840607821,
      0.281619614340363,
      0.15513121919084,
      0.325013448084862,
      0.189189552156341,
      0.278948320697532,
      0.221992783007944,
      0.193678787188627,
      0.542205765777765,
      0.206885612262865,
      0.765984502384971,
      0.762996010773702,
      0.690782846337531,
      0.359809721348587,
      0.44855971671524,
      0.308086642390002,
      0.636192667019084,
      0.492561039725948,
      0.145933008617806,
      0.563921254395498,
      0.261551275893197,
      0.433921255830978,
      0.491049302722745,
      0.51477774678023,
      0.348452499289609,
      0.667118600134872,
      0.362165149739608,
      0.430664394271955,
      0.731869069067562,
      0.356330334775136,
      0.258482634294788,
      0.522368731464385,
      0.242229816975047,
      0.823675217297257,
      0.722842862321575,
      0.650217806142363,
      0.422375491503632,
      0.376201871936373,
      0.382943586869934,
      0.617767412077128,
      0.418861776877713,
      0.150147315454619,
      0.548193532518937,
      0.2187816742584,
      0.469341949826358,
      0.486255719265625,
      0.541661461739775,
      0.283446969541594,
      0.404588642253886,
      0.420226296711145,
      0.331262584162987,
      0.245432725420905,
      0.243232437137445,
      0.122301556620329,
      0.0920606565913588,
      0.102352938778547,
      0.176240221287699,
      0.368603942622071,
      0.445814967394099,
      0.226127939532149,
      0.208916724334753,
      0.196642477849102,
      0.472535677525736,
      0.24126407467362,
      0.371846146109195,
      0.745248192665762,
      0.505110873801799,
      0.678504415422299,
      0.672968925890977,
      0.367917029163724,
      0.381204502885755,
      0.749524701092834,
      0.521947433620837,
      0.252869456015671,
      0.384213582562516,
      0.660560532664121,
      0.612664182741905,
      0.375287433055011,
      0.429963883833027,
      0.494183499709146,
      0.469764052891856,
      0.152335257006635,
      0.457804902934606,
      0.261369017364767,
      0.549646270156826,
      0.902359334169053,
      0.760794752503272,
      0.683067397525112,
      0.538734722166651,
      0.183415228159948,
      0.871545001893664,
      0.967667651778716,
      0.434111904636262,
      0.303853433005298,
      0.718308998534508,
      0.288226742993047,
      0.925643173553454,
      0.872492356958871,
      0.702220405579,
      0.546520193991094,
      0.275609318779299,
      0.456598664793544,
      0.799898293803202,
      0.736525466379482,
      0.463971217118853,
      0.53016901921551,
      0.236378468395036,
      0.548157880415327,
      0.648650800129956,
      0.242136508212637,
      0.172695605461151,
      0.428366360940674,
      0.200435405860211,
      0.628315096394837,
      0.479880332289119,
      0.495478962590009,
      0.431599789772495,
      0.565328996066367,
      0.336418496968566,
      0.520193876624765,
      0.673938801700786,
      0.235639999728711,
      0.530133090676089,
      0.219795174093648,
      0.547593524117799,
      0.780177484030897,
      0.804581974501745,
      0.376738001996925,
      0.565796208468975,
      0.239573845766103,
      0.575981652241622,
      0.619671255824467,
      0.210130612284888,
      0.247819124918632,
      0.550415518049394,
      0.244896390697708,
      0.565989803815867,
      0.482249352840273,
      0.480542716285543,
      0.192760248970617,
      0.578605779393162,
      0.324103769449666,
      0.34384141452074,
      0.177825275620074,
      0.222745450816,
      0.105020115664328,
      0.434188468253963,
      0.473442583999197,
      0.3578104615277,
      0.429255254831377,
      0.414816208173682,
      0.330525051828939,
      0.417009679669029,
      0.323945759796147,
      0.389258899368774,
      0.466916921045787,
      0.378012992042659,
      0.364609734897041,
      0.390422227746457,
      0.329586387609758,
      0.351138610304419,
      0.363073871401536,
      0.270419605926916,
      0.178841127177324,
      0.275603361675752,
      0.220885984573797,
      0.289576840355415,
      0.30938653753486,
      0.272069361603625,
      0.468573107102736,
      0.435800803146065,
      0.705467668238264,
      0.525507961553322,
      0.292274856031655,
      0.810721501701625,
      0.263426783481572,
      0.357645812320109,
      0.271556566503986,
      0.166675709807801,
      0.22827470207234,
      0.232855114833533,
      0.213824890572995,
      0.282383607200609,
      0.221527266676099,
      0.222209811783206,
      0.429009040317113,
      0.473195728501708,
      0.928307739691512,
      0.989917217811806,
      0.993408008954652,
      0.947261992399491,
      0.961838787032118,
      0.982026455926597,
      0.971659367745417,
      0.983896947821533,
      0.966321457756023,
      0.997056224272829,
      0.94541634263245,
      0.960997734703009,
      0.612549231677477,
      0.182417925093887,
      0.576086957088918,
      0.547572595300292,
      0.532287374867691,
      0.313260105989526,
      0.438747840652524,
      0.201289902430769,
      0.630871302536451,
      0.622955861838435,
      0.835370609442023,
      0.709154478814953,
      1,
      0.997397004680537,
      0.827078300054105,
      0.855354683503464,
      1,
      0.996022563900456,
      0.959491086431324,
      0.982013002293595,
      0.698083113859317,
      0.956525225400884,
      0.676004149524726,
      0.524390337168919,
      0.19448139353915,
      0.578304780521331,
      0.500729708950086,
      0.571360494239896,
      0.351482362356492,
      0.383677026749296,
      0.251899383283889,
      0.623639235565028,
      0.599870138239535,
      0.867468295706262,
      0.781408918323257,
      1,
      0.976952854720237,
      0.652575394875808,
      0.87934976530609,
      1,
      0.981484138521351,
      0.969410161884853,
      0.961802543619453,
      0.689667611624692,
      0.970863390702023,
      0.62077445553797,
      0.480317051362674,
      0.249170410658213,
      0.566367555953188,
      0.493367761503896,
      0.165852802813068,
      0.398105974718238,
      0.327431131378665,
      0.300277064335769,
      0.645365428322649,
      0.537644276213358,
      0.700421646494912,
      0.812334042539005,
      1,
      0.962386889396519,
      0.768047434963409,
      0.932803437487885,
      1,
      0.982277244851307,
      1,
      0.924288271150266,
      0.726863783008201,
      0.915433427895446,
      0.57909096991504,
      0.404019515251331,
      0.323300046992396,
      0.526107159442709,
      0.461451397397693,
      0.156697420667975,
      0.443654907722172,
      0.284930293914776,
      0.354805331963619,
      0.648057674778979,
      0.546017781783484,
      0.688056293976913,
      0.885372825667458,
      1,
      0.925278628547484,
      0.624815609188892,
      0.974840189589172,
      1,
      1,
      1,
      1,
      1,
      0.787494564757484,
      0.483293320873459,
      0.330369571256251,
      0.413698150900538,
      0.910087484505007,
      0.715935780532741,
      0.569763036687861,
      0.507299979862703,
      0.237606699046593,
      0.549089834830176,
      0.740828420856246,
      0.340752376596992,
      0.212472162017521,
      0.91217513297913,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.71564821925732,
      0.566212466747468,
      0.258088292999642,
      0.515723518504956,
      0.893380340322759,
      0.739759066176796,
      0.470786964840856,
      0.532543743275503,
      0.235662857818964,
      0.589171126072218,
      0.762591819430999,
      0.280476057673482,
      0.245501859979531,
      0.975308224341623,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.627335701869579,
      0.579412509249145,
      0.198441913658022,
      0.501490474515739,
      0.443043575500243,
      0.31577524700375,
      0.111005255034798,
      0.539932861025113,
      0.152351244806776,
      0.450385518499112,
      0.654376121355278,
      0.548541174060399,
      0.667849268340215,
      0.993425833286562,
      1,
      0.865106496861576,
      0.846771557932733,
      0.99780949664393,
      1,
      0.97620989008881,
      1,
      0.751453027711817,
      0.872918293211593,
      0.781532712168849,
      0.633639181305561,
      0.186577377093489,
      0.523229114606179,
      0.466649154623998,
      0.258566911399832,
      0.129105240049403,
      0.532869668306399,
      0.13637871092365,
      0.490420462487481,
      0.655199959218967,
      0.586510333259988,
      0.680346720022339,
      1,
      1,
      0.823425161977762,
      0.822934843047533,
      1,
      1,
      0.977839383897828,
      0.996558540098417,
      0.732248751311422,
      0.909851422274411,
      0.72620011549194,
      0.614520044329019,
      0.198583832851366,
      0.566479960285489,
      0.490212909455625,
      0.295135741608862,
      0.178966081880463,
      0.467002241627348,
      0.176301158162023,
      0.661839772360224,
      0.648341402643516,
      0.678402745294966,
      0.684863566703975,
      1,
      0.997848709433295,
      0.806467965392721,
      0.868999830193526,
      1,
      1,
      0.990587329513315,
      0.997271130242664,
      0.695459551874351,
      0.886074258021897,
      0.66669895590405,
      0.535670929563001,
      0.187550571982992,
      0.583297729161959,
      0.491942985182225,
      0.249744787320613,
      0.23296191769801,
      0.425101365202798,
      0.207844710532734,
      0.689635728643413,
      0.647222970168741,
      0.723637296218935,
      0.721666529031999,
      1,
      0.987001006933482,
      0.733896226175707,
      0.87948285201463,
      1,
      1,
      0.992505344520921,
      1,
      0.992364603307091,
      0.942767224718451,
      0.378442189400237,
      0.552256613424808,
      0.2003748360007,
      0.865144795162204,
      0.767932124956189,
      0.745813967805661,
      0.355171509081118,
      0.431140171623654,
      0.333878745569412,
      0.720015324035107,
      0.546289161767028,
      0.186853915765879,
      0.664310478804247,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.94533166339593,
      0.937699718111374,
      0.397574532676179,
      0.52015276346614,
      0.245576679241544,
      0.914371761085948,
      0.73784644442851,
      0.689169391597238,
      0.414227392526438,
      0.359913270370299,
      0.418809877311175,
      0.721187661553713,
      0.460958283374897,
      0.200652761639288,
      0.76578949758753,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.897086301368498,
      0.210873020826696,
      0.077186874611049,
      0.0658966770877457,
      0.213121838557438,
      0.155318765387209,
      0.256325852309342,
      0.121050610355518,
      0.171540634433643,
      0.0902230519935018,
      0.270524245879722,
      0.273401500170542,
      0.545610869562673,
      0.858162947560112,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.969912463538837,
      0.955983669719395,
      0.641052216187518,
      0.352682083152434,
      0.421987593337038,
      0.513657892743314,
      0.452036819160323,
      0.140772575963974,
      0.443667400897064,
      0.222249405603348,
      0.429908054141983,
      0.759252569562404,
      0.606841886947008,
      0.730469223574614,
      0.897277623198189,
      1,
      0.906292101971299,
      0.791700410568455,
      1,
      1,
      1,
      1,
      0.857533445071139,
      0.843687192735923,
      0.889145584247377,
      0.649452846837099,
      0.262044960035021,
      0.494083711916184,
      0.889568781145942,
      0.759434908434216,
      0.49645026024638,
      0.533232580929288,
      0.227719277262997,
      0.582457853317953,
      0.749551735225536,
      0.280531020916443,
      0.251471030240366,
      0.979352447828582,
      1,
      0.998391545821371,
      1,
      1,
      1,
      1,
      1,
      0.988535495397408,
      0.951146409688147,
      0.633197410382196,
      0.596686941071613,
      0.215593100111753,
      0.602881784997403,
      0.847091079910133,
      0.795370939263762,
      0.399533864884892,
      0.559096565124163,
      0.239744610620049,
      0.60906682098254,
      0.718691890682646,
      0.255339782065804,
      0.298755365993145,
      0.996384688451615,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.547507964583458,
      0.160047002366564,
      0.431768267841248,
      0.503898295292401,
      0.314616445932284,
      0.382796877654723,
      0.378848578634299,
      0.337717273671394,
      0.419252962365917,
      0.316194691179245,
      0.342252642912969,
      0.424200153189608,
      0.418491110952538,
      0.976143207676027,
      0.968886450346519,
      1,
      0.972916883528382,
      0.729171295071097,
      0.741890559335845,
      0.77828913889436,
      0.77822947471595,
      0.760155538637118,
      0.678257791671439,
      0.862003272878733,
      0.850746842066816,
      0.951095270344282,
      0.673925230775357,
      0.616436482814076,
      0.610097335891027,
      0.305561786446239,
      0.821920494656852,
      0.323610602314688,
      0.311825003098931,
      0.151802014232479,
      0.117676655568036,
      0.178636089004813,
      0.111757014841105,
      0.132120635687681,
      0.137813685161768,
      0.113415443403001,
      0.233181274038906,
      0.255545759853405,
      0.38268592501878,
      0.869549062240917,
      0.84467831778774,
      0.860423269136953,
      0.838153297546479,
      0.840203883211637,
      0.897874364922588,
      0.897883244165099,
      0.84277984558317,
      0.854933981128534,
      0.882980697533201,
      0.859279664159887,
      0.823817323344608,
      0.550524958798258,
      0.154245303356303,
      0.52670105384732,
      0.518950897354051,
      0.400260290040033,
      0.285301439758769,
      0.379170111321083,
      0.195025968768807,
      0.780501474605729,
      0.814935744685747,
      0.711643207341045,
      0.687887728762518,
      0.435848635118289,
      0.515062607504982,
      0.955975847074389,
      0.701818375552223,
      0.338561569824255,
      0.647697739016492,
      0.409638817653797,
      0.668555019843198,
      0.985085348206516,
      0.775910823934432,
      0.511495118942644,
      0.44822966149395,
      0.176608303588642,
      0.530916887204018,
      0.483700069834007,
      0.420353004810883,
      0.324760698245441,
      0.324314186476213,
      0.261359376577316,
      0.769409200258901,
      0.808955279087055,
      0.733853352514542,
      0.62117579424013,
      0.304243990545577,
      0.631886164162267,
      0.967877468033468,
      0.707911113864041,
      0.340774890492586,
      0.645848016511857,
      0.370553295776031,
      0.743614090881562,
      0.988212994337686,
      0.741871759548267,
      0.486793266216381,
      0.397360288650958,
      0.199451874838011,
      0.491311979153032,
      0.428705320916559,
      0.165530287970222,
      0.373446368752034,
      0.291490453166559,
      0.351588718712784,
      0.777693155797491,
      0.763237440881407,
      0.635807396123986,
      0.73295372296887,
      0.328503875546578,
      0.635120689464734,
      0.927356636903669,
      0.639521617614515,
      0.311559468241573,
      0.650706012260211,
      0.375040251353334,
      0.817132551775885,
      0.999204316888561,
      0.70823833111751,
      0.50078421446084,
      0.323590411487227,
      0.284784943131312,
      0.456144263723723,
      0.40813081320027,
      0.172005422665281,
      0.417172933658924,
      0.246405366640965,
      0.44363083896509,
      0.756419949626384,
      0.74419046096855,
      0.634133214183528,
      0.636413927911247,
      0.285165313746273,
      0.735823128640934,
      0.944951630137216,
      0.610199893628421,
      0.240409857571997,
      0.387934787374126,
      0.323936235900487,
      0.274591227909335,
      0.275731672041947,
      0.424630420243112,
      0.434143118571599,
      0.289003845360937,
      0.405107663077719,
      0.883602587565714,
      0.716426546404906,
      0.570507765743457,
      0.473952222763504,
      0.216577289141752,
      0.514910901641913,
      0.638430645401877,
      0.319878531432055,
      0.259916888169261,
      0.735558832012546,
      0.319632785543082,
      0.629139733045111,
      0.632026722414087,
      0.596402379237565,
      0.278558619646682,
      0.67708090654002,
      0.418097988913316,
      0.34791577080644,
      0.270946567750945,
      0.32372815533465,
      0.499388321030643,
      0.226573030111594,
      0.511293476960265,
      0.878350691664301,
      0.733529444863479,
      0.477279265394243,
      0.498308998481704,
      0.197368396556401,
      0.557603437919126,
      0.652176798855817,
      0.294831042823985,
      0.288356702706377,
      0.619887107084086,
      0.328505638041732,
      0.632952446414405,
      0.574106568749614,
      0.558384968274494,
      0.274322391244396,
      0.678787211139202,
      0.399054361693048,
      0.369984044158882,
      0.285716523354217,
      0.319977603436267,
      0.530119533506584,
      0.144580588537798,
      0.460541032475356,
      0.37243132532957,
      0.273018292783861,
      0.100449285166337,
      0.498424958260892,
      0.153771273210881,
      0.641173134984555,
      0.761314410057362,
      0.548532851193262,
      0.629228080034891,
      0.674099347635222,
      0.287283335843797,
      0.885696745405847,
      0.880745355575604,
      0.385631701153145,
      0.531407353230816,
      0.541370667211655,
      0.473968942793524,
      0.958553776215655,
      0.875952833177388,
      0.578355231196651,
      0.535096712493334,
      0.134581963177271,
      0.473939693616001,
      0.393605888206401,
      0.215660353609779,
      0.125956901163263,
      0.486100594929045,
      0.141256406602351,
      0.703649156322558,
      0.793982165979019,
      0.554550520343232,
      0.628214150330134,
      0.501445173570097,
      0.342710855352239,
      0.935816195648857,
      0.865982138980563,
      0.382774327125745,
      0.556328342505382,
      0.485430165799339,
      0.543161652244193,
      0.961337139712132,
      0.846162450672042,
      0.547531444605763,
      0.513988761170177,
      0.120368945963967,
      0.508120508233096,
      0.428892297480632,
      0.255445644134257,
      0.189119665853464,
      0.411090309946418,
      0.164709718054602,
      0.852012929272496,
      0.824023758191676,
      0.629727156890932,
      0.653896289286942,
      0.508480852413913,
      0.404362084352074,
      0.897879929932739,
      0.781778528989472,
      0.394420213026363,
      0.582512303672443,
      0.46310448210682,
      0.581463071684417,
      0.965405342228379,
      0.810802278840167,
      0.535433589470224,
      0.447967157412204,
      0.121923760139376,
      0.520018058898623,
      0.435357887834738,
      0.231329588373689,
      0.22858545075774,
      0.363272079983242,
      0.211162829105375,
      0.854257617603012,
      0.839428532446524,
      0.669712033724383,
      0.61778555430335,
      0.383183220737008,
      0.489717720892733,
      0.901169213881142,
      0.759666433435253,
      0.353018360577061,
      0.297071243985484,
      0.386587904065934,
      0.248083130701,
      0.345131431777267,
      0.350239062044028,
      0.297624054415149,
      0.493559315539287,
      0.179836330512228,
      0.846702936598816,
      0.737072184607347,
      0.754835114417358,
      0.339533170305348,
      0.373603545490771,
      0.326463163952427,
      0.635707773248456,
      0.480091974910528,
      0.258037239476479,
      0.64190959087758,
      0.40116793398813,
      0.521172737983418,
      0.685718767471962,
      0.578917069400893,
      0.446789146229952,
      0.67299771792145,
      0.421680100502831,
      0.496390498287589,
      0.892663821173984,
      0.492132659045733,
      0.313592890189911,
      0.45245133944948,
      0.233738699290483,
      0.884643045348471,
      0.713290592234261,
      0.692827703322226,
      0.386765866631433,
      0.313852803914234,
      0.392697355736688,
      0.629341725101441,
      0.408875209496789,
      0.251425684732765,
      0.661591829156173,
      0.339592844704369,
      0.55706408307364,
      0.666549779870831,
      0.604132372961507,
      0.359872731140587,
      0.532555231781802,
      0.42951606681967,
      0.358728583127289,
      0.338155633461879,
      0.366778107151861,
      0.167255108182146,
      0.0437489320963831,
      0.0541652234793386,
      0.112311527968443,
      0.0788711767126541,
      0.126421642124171,
      0.0615072703494586,
      0.162132806447189,
      0.068027141086177,
      0.166943490188736,
      0.188152204323549,
      0.278901655714548,
      0.694176221098075,
      0.416101946513677,
      0.430191669848706,
      0.504185507062639,
      0.40797562974182,
      0.424344894090612,
      0.672126884262537,
      0.594976646766117,
      0.484124154368603,
      0.530026303111953,
      0.781196721821042,
      0.539225098939135,
      0.319783720136761,
      0.514270338234109,
      0.501027547929794,
      0.436260199456879,
      0.134763209146809,
      0.431299412979765,
      0.254941639906719,
      0.565168926831471,
      0.827906084577667,
      0.720012619142692,
      0.676088000661704,
      0.696081543481372,
      0.291164551817955,
      0.781651532956863,
      0.963943765539667,
      0.547406243166659,
      0.370517470480652,
      0.671573353032714,
      0.338143160075478,
      0.866305237205714,
      0.967503005863182,
      0.632951967459126,
      0.523401652748724,
      0.236047226633363,
      0.475366327482796,
      0.861463837205288,
      0.750844728682454,
      0.490585389858235,
      0.508449320833329,
      0.20453739065955,
      0.551394988150944,
      0.640356402383271,
      0.290799604369899,
      0.284136328051764,
      0.587486264520152,
      0.333707690752358,
      0.751511600853197,
      0.608340147470905,
      0.556742441112498,
      0.491743402199329,
      0.611139943205775,
      0.393032754261656,
      0.639885907684871,
      0.830688842026618,
      0.330776166667953,
      0.530837874471987,
      0.187683153478819,
      0.598502526161328,
      0.826141711643729,
      0.799212297714641,
      0.394826814808984,
      0.515573950182886,
      0.196247477894611,
      0.588866004825903,
      0.622178548934776,
      0.272063800960496,
      0.325920194176398,
      0.668467484005321,
      0.34669585660312,
      0.697734460538639,
      0.628905068749585,
      0.544726926517211,
      0.296268815110692,
      0.626182189100599,
      0.363512206840269,
      0.400050052339507,
      0.290065762692883,
      0.296092620902391,
      0.156339122121557,
      0.384102959128454,
      0.471879527279727,
      0.279344326659882,
      0.350928063258229,
      0.42143095254241,
      0.255058242648153,
      0.443140012573874,
      0.339442153313453,
      0.29353585100812,
      0.508282399596139,
      0.516437827277464,
      0.605835240355101,
      0.633665082691432,
      0.586469260991921,
      0.642983066818268,
      0.712159148832878,
      0.635451370196358,
      0.573103418644635,
      0.669249526658792,
      0.590867012643242,
      0.73974044840999,
      0.686058897488608,
      0.837980984489085,
      0.806880687442321,
      0.627512037067711,
      0.493371398140358,
      0.375021808268781,
      0.234352300708177,
      0.822249098671714,
      0.345400875162364,
      0.514112340358307,
      0.510977951050169,
      0.528019555544312,
      0.58490302519043,
      0.568587107962697,
      0.598190658354799,
      0.453553004823795,
      0.521492463597343,
      0.534098060691624,
      0.718465601368894,
      0.693831294826978,
      0.839932536448253,
      0.730810521474479,
      0.75804560824728,
      0.718276817142508,
      0.683904140180184,
      0.782801583730449,
      0.805771425591843,
      0.711738640841236,
      0.672919997721855,
      0.786027477801109,
      0.743019461944133,
      0.750209523049624,
      0.60497991032289,
      0.21325724892106,
      0.600971311519316,
      0.565342667715289,
      0.34613752916569,
      0.27280273702198,
      0.416286494239881,
      0.21869448388893,
      0.589592330460047,
      0.560015709243529,
      0.711374253788393,
      0.978221483977103,
      0.287857194009606,
      0.371839207795678,
      0.670421471403192,
      0.517443356097425,
      0.181816140612752,
      0.642209336263588,
      0.278258477656013,
      0.419233352351279,
      0.644686222351313,
      0.521148363705622,
      0.424865034260682,
      0.537719315720832,
      0.233025990563032,
      0.595332154168977,
      0.5523710135288,
      0.324786855910293,
      0.331115167672934,
      0.354835903715931,
      0.256018041200433,
      0.586215569999015,
      0.534884806756848,
      0.783217132629489,
      0.901697543100768,
      0.209731082222583,
      0.424362922140127,
      0.696813177355183,
      0.473372629512262,
      0.207997500396536,
      0.625839381955829,
      0.245724151650925,
      0.462492381303366,
      0.640793579555811,
      0.509286332390542,
      0.406978486541315,
      0.451951261836072,
      0.250502265659471,
      0.520306151437951,
      0.479764069039578,
      0.321945311507229,
      0.41299774191043,
      0.332542154729358,
      0.293225310753727,
      0.610756374412244,
      0.588231503743098,
      0.824123866034565,
      0.873054629294325,
      0.192906916115388,
      0.474112132011539,
      0.709511721344213,
      0.463652922706329,
      0.219771670424482,
      0.577683051832004,
      0.24627001828525,
      0.502540479645195,
      0.634112860211627,
      0.636987596351008,
      0.570814646369625,
      0.381165691150437,
      0.320739266866974,
      0.489317004930438,
      0.451513087083656,
      0.332160081203056,
      0.447423740338343,
      0.281250423270235,
      0.340398176815858,
      0.601353673220396,
      0.59190266451794,
      0.852052209930559,
      0.783180542534805,
      0.170364424577793,
      0.514676921035876,
      0.731593122646673,
      0.418121230706329,
      0.137772748609416,
      0.257657841903041,
      0.192781821288673,
      0.171626537396275,
      0.188114334500507,
      0.527241678655891,
      0.513768083850619,
      0.343784575654007,
      0.426905158788882,
      0.89311032550141,
      0.796589504680724,
      0.562724646776825,
      0.510244352593149,
      0.244894193946065,
      0.489296144460691,
      0.678769593737871,
      0.429261495649459,
      1,
      0.737436884582235,
      0.205351997349311,
      0.620718257972845,
      0.600902258595157,
      0.681717028481062,
      0.240281360507904,
      0.577232042733083,
      0.314044205861131,
      0.226388377308006,
      0.161737505655869,
      0.290634774857013,
      0.555505688496195,
      0.276211873045456,
      0.534377114428784,
      0.894633828537753,
      0.807738753832045,
      0.47038717392474,
      0.541116063571328,
      0.211941915785837,
      0.53397731279915,
      0.705291431932338,
      0.479169935267713,
      1,
      0.618984308384998,
      0.223340311492437,
      0.632102225441286,
      0.599213202808263,
      0.669179195529206,
      0.191899500447969,
      0.617800684530687,
      0.283317599037715,
      0.243235404208575,
      0.176876281206009,
      0.276686540609835,
      0.57400097650872,
      0.191004576189539,
      0.472523175002876,
      0.434223997207858,
      0.319383341163719,
      0.1716078039506,
      0.511573120521056,
      0.178782212581098,
      0.439166274656205,
      0.583005960436517,
      0.442707574011004,
      0.913378850023882,
      0.556108295748233,
      0.207347884259063,
      0.590910565305712,
      0.682361357213239,
      0.240514558289913,
      0.455350178261061,
      0.400398870556869,
      0.353892196606497,
      0.627566085814562,
      0.504114465940664,
      0.468056795718123,
      0.613694212096695,
      0.165484016513086,
      0.504558426349628,
      0.442744873706507,
      0.277263877688404,
      0.18968400096494,
      0.498303166661671,
      0.17605218940358,
      0.467429712076605,
      0.583562106548156,
      0.4632023311184,
      0.930691611247427,
      0.432671340839972,
      0.250911085719891,
      0.620070641207177,
      0.645014831003006,
      0.226437264675023,
      0.506589305071289,
      0.334583387727071,
      0.393173219101478,
      0.64275300896664,
      0.495993417066838,
      0.44888370059701,
      0.589570774412118,
      0.160108397519117,
      0.58091614609563,
      0.50235249245603,
      0.425415703835868,
      0.30991056380942,
      0.428924833187821,
      0.201422283084531,
      0.615338859109655,
      0.605326002663005,
      0.595606537682837,
      0.989536720313583,
      0.360965912356904,
      0.307654749507756,
      0.645489179986899,
      0.597009109978001,
      0.244488496035041,
      0.538936999175324,
      0.350557347205095,
      0.395451508903924,
      0.651455411945329,
      0.615855559861492,
      0.469781941338222,
      0.517671500254395,
      0.16213617046487,
      0.59073043024275,
      0.516652662460817,
      0.399989368574414,
      0.314583596436731,
      0.383464407944632,
      0.225932895879767,
      0.64042477761621,
      0.601040310432718,
      0.640020879094873,
      0.956479083463582,
      0.272491309567135,
      0.368870137549486,
      0.66312592969109,
      0.55334867582327,
      0.208792006880175,
      0.177793977117433,
      0.274497703331988,
      0.148968984646692,
      0.240057580352837,
      0.420719569538895,
      0.293770530018186,
      0.564735257415776,
      0.211852266717899,
      0.847606993360584,
      0.818346279407684,
      0.763253998615997,
      0.365756499783917,
      0.415696387402935,
      0.31623374412222,
      0.662795067842287,
      0.507861309922054,
      0.841244621859846,
      0.949684045413094,
      0.246054084713703,
      0.519679250493939,
      0.605300387299829,
      0.673177150139876,
      0.436717012182861,
      0.604025116566368,
      0.291742585742069,
      0.473164866493093,
      0.746811596209004,
      0.363848904978265,
      0.33780573793229,
      0.511583934364709,
      0.255818757303735,
      0.883858463347391,
      0.798929885831731,
      0.69191884875364,
      0.414701345023258,
      0.356549360190011,
      0.371924270049234,
      0.664621509897764,
      0.467211468763652,
      0.913891754481393,
      0.866659194687651,
      0.204264131122031,
      0.57559991498734,
      0.584274206731762,
      0.691311786959524,
      0.341624065414449,
      0.399116162195048,
      0.409153232169791,
      0.199473137955963,
      0.219800679429605,
      0.263067982752786,
      0.259308604455039,
      0.129240769534139,
      0.122912498679631,
      0.182676473730143,
      0.170657977906837,
      0.20925797849742,
      0.118255270630281,
      0.218472573470147,
      0.118108063944691,
      0.254874535971465,
      0.238797670544583,
      0.976162798305007,
      0.781867998549669,
      0.337220724014144,
      0.302642560262425,
      0.421012938831985,
      0.429445823936091,
      0.338924663086148,
      0.576746706053001,
      0.53190374779012,
      0.361751496162051,
      0.583739361584455,
      0.60424243470686,
      0.477982665862374,
      0.559348750275743,
      0.619292254738609,
      0.517018598157506,
      0.523566442641984,
      0.214211611532464,
      0.460407822230391,
      0.280563898511239,
      0.426566111651375,
      0.670812287088436,
      0.550100907209629,
      0.912280801379886,
      0.716439595914437,
      0.157404550085622,
      0.547319025585889,
      0.772125199433153,
      0.411565331546712,
      0.311770903661992,
      0.642360549324862,
      0.260345517063132,
      0.591148976618555,
      0.587193223745465,
      0.585320217138254,
      0.536235846945545,
      0.290528383255029,
      0.512602220427857,
      0.871358738135669,
      0.814282293661247,
      0.484877382119369,
      0.539352841864693,
      0.218752302036228,
      0.536281517116768,
      0.675609997013857,
      0.473704231177343,
      1,
      0.608450014724744,
      0.21361713477691,
      0.704189453503431,
      0.600949779863218,
      0.666044791804447,
      0.43440170622554,
      0.471937589278202,
      0.326493901117882,
      0.56826081159115,
      0.630225561944586,
      0.283347343788441,
      0.602713234284391,
      0.216506378200367,
      0.605147575886208,
      0.850436540580666,
      0.860606696717956,
      0.403079539100467,
      0.54623824449276,
      0.206860081508846,
      0.574548022484672,
      0.646996586977604,
      0.524329984614619,
      1,
      0.564078682406524,
      0.272101801659513,
      0.668300240338482,
      0.622241503138177,
      0.638390488047924,
      0.18596937462335,
      0.582425539010627,
      0.267061954009908,
      0.221657537652682,
      0.195363482017282,
      0.26439218787193,
      0.336898863210446,
      0.389089284338297,
      0.445879766133294,
      0.318126980052379,
      0.358868377829459,
      0.399370650211895,
      0.316643807086102,
      0.435511662937879,
      0.390074802538405,
      0.385374184103306,
      0.446377114359414,
      0.425536552600261,
      0.374602950957564,
      0.370231700083643,
      0.347796243829088,
      0.459519737285302,
      0.677895027893425,
      0.667729133667189,
      0.55932756088032,
      0.668299774903631,
      0.545736204365168,
      0.645369540620481,
      0.508862362728652,
      0.721618143998398,
      0.78306565841723,
      0.44005091199989,
      0.426561502363601,
      0.355955231881233,
      0.336687493021725,
      0.957392831051572,
      0.338175002836379,
      0.416765752546053,
      0.355196062462762,
      0.379879103958426,
      0.454623241883964,
      0.424700691969818,
      0.405752222385122,
      0.361776617044443,
      0.348204491322301,
      0.471141868889969,
      0.441409903277214,
      0.600261168578508,
      0.768747603765783,
      0.586561276885364,
      0.680706262250212,
      0.632730591816903,
      0.586115107756331,
      0.680062612068636,
      0.728048749658575,
      0.594700265990502,
      0.581894939812777,
      0.721155768445225,
      0.633264200196125,
      0.647454441773862,
      0.523888663922995,
      0.199183280381303,
      0.547753505445844,
      0.488371406112908,
      0.247324579099928,
      0.276772083806718,
      0.387608966170398,
      0.217823419935168,
      0.77439997895115,
      0.710090474101992,
      0.826628254026723,
      0.510655353333013,
      0.237478311693146,
      0.404186642893595,
      0.786076749389193,
      0.437908280289164,
      0.146545106386861,
      0.630835459502471,
      0.266121473947436,
      0.599237525115914,
      0.746282005417767,
      0.737323094698215,
      1,
      0.573159363745341,
      0.217758797103126,
      0.545586816870467,
      0.456678379152296,
      0.225374093446226,
      0.332107641781026,
      0.324179811636234,
      0.284532330361194,
      0.743739046573959,
      0.713590999743583,
      0.861940975376752,
      0.443787543824967,
      0.202097412397058,
      0.497251460067797,
      0.752801968885926,
      0.386227095995644,
      0.175333785650638,
      0.635791345024776,
      0.248503454007152,
      0.648085332799113,
      0.738308592394528,
      0.74732077886353,
      1,
      0.47117374738685,
      0.223031836741401,
      0.476895605185316,
      0.441368025901803,
      0.205264330143366,
      0.400600911530743,
      0.287511129267608,
      0.291549566656858,
      0.73170947399265,
      0.747185864379611,
      0.876745910484789,
      0.432746832540533,
      0.133736428506204,
      0.568844039286457,
      0.757193876572431,
      0.33014690955433,
      0.180568491871764,
      0.529190143186573,
      0.162938133520743,
      0.655363054430993,
      0.732783032187593,
      0.890084778781877,
      1,
      0.363319206134203,
      0.289786796309716,
      0.444437287315968,
      0.417149257867604,
      0.248718014370351,
      0.393903345433733,
      0.231231077479518,
      0.35543646783806,
      0.707298738562393,
      0.742162894205965,
      0.854148962755205,
      0.374753353049553,
      0.121057883782676,
      0.646340979574707,
      0.715500056438898,
      0.292982760837995,
      0.099721825238943,
      0.172091811850907,
      0.124728660425742,
      0.168258929931594,
      0.123498257641738,
      0.830185401728976,
      1,
      0.313310224745791,
      0.36074870912421,
      0.809052486630951,
      0.697689003611866,
      0.518496443257979,
      0.447170900622856,
      0.204308236111826,
      0.441324614432641,
      0.576738067608645,
      0.287286280600463,
      0.255015120831166,
      0.400312705618396,
      0.16944514838741,
      0.536294430396885,
      0.546138731508574,
      0.570609475574684,
      0.225114333844729,
      0.512804533312937,
      0.268270104830484,
      0.207551539852988,
      0.136792169878187,
      0.818489661015073,
      0.97830749222219,
      0.223092880233024,
      0.456682825240771,
      0.799996706585274,
      0.716800516227672,
      0.431807914890627,
      0.46380942189623,
      0.178483105348787,
      0.479026356845501,
      0.582760131924674,
      0.265860552492799,
      0.257832631979403,
      0.343015349647302,
      0.193309206490736,
      0.56191661146436,
      0.536548178950406,
      0.558642985768359,
      0.198318193168874,
      0.546699013659931,
      0.243088198030967,
      0.201452237400038,
      0.170553095950469,
      0.893636910074261,
      0.927121601511363,
      0.184330172262262,
      0.425573901450783,
      0.38373201590634,
      0.259544858775565,
      0.12323506871156,
      0.438116555410639,
      0.130137932499125,
      0.541066300656086,
      0.706451867416295,
      0.578954450207994,
      0.628722120051245,
      0.357530103996501,
      0.175496818944194,
      0.752278372881717,
      0.652140681801064,
      0.159970636803716,
      0.430387808175612,
      0.33279835198794,
      0.331038142498528,
      0.728274689416401,
      0.668199389951867,
      0.967883235499745,
      0.867824809451454,
      0.15028867061834,
      0.45529363404534,
      0.406556284489197,
      0.225273904002989,
      0.136979072494795,
      0.424540966181987,
      0.125481927579898,
      0.589499061562844,
      0.736886790245117,
      0.613241632127063,
      0.582024488739304,
      0.271937899218932,
      0.226678274772909,
      0.776330149199605,
      0.589533022827517,
      0.151032703825774,
      0.468743789834814,
      0.268783160303324,
      0.398034536399258,
      0.741405261037673,
      0.662570781707507,
      0.990413862839896,
      0.756924036580777,
      0.147739030190694,
      0.538311048624032,
      0.426192117419063,
      0.397024671753654,
      0.190089000741642,
      0.380809787851075,
      0.205609482862514,
      0.738803017732368,
      0.784801619361098,
      0.825892687244247,
      0.553070663361149,
      0.228183619247211,
      0.319989062755631,
      0.778879481972867,
      0.503475352574849,
      0.186495341252948,
      0.531486661958717,
      0.26599481376211,
      0.479912705419179,
      0.762749103216226,
      0.831033921135314,
      1,
      0.623844492881184,
      0.154002446553347,
      0.540441450983172,
      0.452605338684015,
      0.331846889434789,
      0.22262928473435,
      0.341349440632849,
      0.228876244474765,
      0.761102247344525,
      0.792986930234212,
      0.843948670104082,
      0.479901269302112,
      0.177361263640945,
      0.417748406285102,
      0.760810023325799,
      0.458840050755299,
      0.171411109833543,
      0.121652509511169,
      0.187743321740653,
      0.135626122069395,
      0.218481146791335,
      0.570827439997126,
      1,
      0.603448786065545,
      0.184012796712832,
      0.745102173714674,
      0.714255937509505,
      0.687260973763844,
      0.340187787131547,
      0.342673866174637,
      0.290762079196898,
      0.582051316664232,
      0.430525768495495,
      0.24591091791034,
      0.407461437486983,
      0.177886274309631,
      0.433375840903799,
      0.55005014244268,
      0.577720496359527,
      0.392291825490806,
      0.565297311533527,
      0.212679995270724,
      0.431942937762148,
      0.608845464102327,
      0.58995144948391,
      1,
      0.508494649260645,
      0.20659057481623,
      0.787131590505331,
      0.696397270116953,
      0.643822118678797,
      0.38042200449629,
      0.288376533903492,
      0.339802069034227,
      0.55413937532752,
      0.383092160946663,
      0.247398717630526,
      0.408843678718365,
      0.158359692509816,
      0.487973807707561,
      0.533895541188657,
      0.591749599650621,
      0.302353489009789,
      0.356873725539865,
      0.364161020610255,
      0.188948880839485,
      0.170617173103507,
      0.623039464307573,
      0.982605787874548,
      0.185150191094667,
      0.0911963992936699,
      0.165790356761087,
      0.13441207926317,
      0.177756001690486,
      0.102454870880941,
      0.152693141172594,
      0.0909795786944884,
      0.227606397149703,
      0.185782094322798,
      0.202849213083377,
      0.388919652711745,
      0.275722786059732,
      0.257755598816359,
      0.372911074878794,
      0.362419386353371,
      0.30930363376452,
      0.536316099775992,
      0.450986638786757,
      0.251580816996159,
      0.372167298654933,
      0.729909688792568,
      0.998280895516002,
      0.348501030692336,
      0.379783632925651,
      0.435351793550877,
      0.421916659694418,
      0.173124390456165,
      0.376096410922249,
      0.17409849205485,
      0.471855180887865,
      0.757893625791192,
      0.691852331964583,
      0.750490170105227,
      0.36803028474241,
      0.122347605484416,
      0.657392683926804,
      0.79163866006275,
      0.290301824867358,
      0.255617518279035,
      0.451300049284004,
      0.193549635760936,
      0.703945754230303,
      0.748064190791504,
      0.842577852250411,
      0.98350000049625,
      0.239549118264354,
      0.445297756403362,
      0.77887311544368,
      0.727671382066484,
      0.448256177410306,
      0.463311048360926,
      0.187736755628834,
      0.481314082090259,
      0.583476864330818,
      0.270312184663757,
      0.263519176157956,
      0.335023704753181,
      0.200039379447566,
      0.62777711764328,
      0.545300322749734,
      0.554268137514332,
      0.429673042452832,
      0.390993361467344,
      0.285283488426892,
      0.476793427684311,
      0.534467426668736,
      0.889139067913714,
      0.930995689532721,
      0.177211238829755,
      0.509555184865014,
      0.753910218401641,
      0.775055113057236,
      0.371322819063473,
      0.476725670681901,
      0.176208849708902,
      0.509311020421446,
      0.548747167429893,
      0.254787054828687,
      0.28910592012991,
      0.340481025187826,
      0.223333270567406,
      0.595201617712313,
      0.545413277944711,
      0.53466129010936,
      0.190463368867459,
      0.510753811315496,
      0.230469609425234,
      0.198186636288691,
      0.205085433289321,
      0.946505842439704,
      0.995892143883586,
      0.523034159782143,
      0.463150314105816,
      0.298125786890485,
      0.350107061815712,
      0.379826085780695,
      0.324036151989589,
      0.398071774840537,
      0.326847634283616,
      0.363518769999617,
      0.412616440508139,
      0.444017793244486,
      0.388034221294565,
      0.345139111666251,
      0.332944538314963,
      0.359836022848209,
      0.379040479180558,
      0.309865217200366,
      0.21573481310972,
      0.361359149953503,
      0.27372051374057,
      0.305647800313139,
      0.34803969758311,
      0.402636753667377,
      0.725451127697729,
      0.811856337396701,
      0.897657761655437,
      0.896759458521198,
      0.450128101821166,
      0.859324034111699,
      0.311281999139765,
      0.333570303439997,
      0.199675011844318,
      0.158958596352906,
      0.192243565416443,
      0.167219295318195,
      0.151040731750433,
      0.162183469729683,
      0.129670698540693,
      0.1792582110664,
      0.220547797343329,
      0.502665100756022,
      0.702280279290176,
      0.670335111649217,
      0.683271119267693,
      0.65065288348403,
      0.662199278008377,
      0.714777770949122,
      0.759944183280773,
      0.668838472154272,
      0.592644584042744,
      0.704994693563872,
      0.684195499134371,
      0.674086923207553,
      0.455907181341441,
      0.124603913319839,
      0.518132654569376,
      0.433464790897564,
      0.200238647903051,
      0.253349724692187,
      0.290121310853195,
      0.189214509070953,
      0.621443741477092,
      0.578818350872392,
      0.671023035800219,
      0.540652614209438,
      0.217349254763891,
      0.348100526773658,
      0.653970879984207,
      0.373603332483748,
      0.174787087745707,
      0.560108404153154,
      0.193900906594359,
      0.427617085800039,
      0.60867581512697,
      0.574257710341049,
      0.561570793259944,
      0.319380139296706,
      0.153655684373138,
      0.510283927565579,
      0.37668721409691,
      0.179759195398829,
      0.30047758032608,
      0.241244078926562,
      0.228968724843926,
      0.623550797967734,
      0.56688327119262,
      0.696466136318181,
      0.488925530560605,
      0.162383878029806,
      0.417086163457019,
      0.643950902823255,
      0.327615890324892,
      0.193897088904379,
      0.552076758399001,
      0.173093940043069,
      0.473238555169012,
      0.598177297585859,
      0.592215450406316,
      0.542877300866524,
      0.30658021041599,
      0.164479910630259,
      0.400758888351123,
      0.349302758834824,
      0.258372688179423,
      0.320720753389222,
      0.237680885042214,
      0.238803240000921,
      0.559482853270653,
      0.565985493046801,
      0.640481763538238,
      0.500522273701768,
      0.152087706337487,
      0.479109126714686,
      0.673039331300857,
      0.306197760116136,
      0.208086286619352,
      0.505065197508323,
      0.186507551368799,
      0.511449006378296,
      0.60793899771451,
      0.671404626307939,
      0.480269894692448,
      0.24791501083661,
      0.229706414226553,
      0.36508499708856,
      0.334242381214671,
      0.245953398873109,
      0.370275233312386,
      0.197028136074635,
      0.272359566834533,
      0.542768241191275,
      0.603306068831965,
      0.576237928302539,
      0.453917795740788,
      0.143589381554758,
      0.53422628818949,
      0.641221881379652,
      0.266926430544696,
      0.139121333278375,
      0.204415081171367,
      0.155462856201386,
      0.120208840931117,
      0.133422102353032,
      0.355060551018789,
      0.372739244227279,
      0.212373992605838,
      0.324891624682539,
      0.798664112801377,
      0.592655619527988,
      0.450320479080691,
      0.372532193280262,
      0.149175160324253,
      0.403728665244406,
      0.464731830003726,
      0.212293735780526,
      0.201710461827158,
      0.486679801791784,
      0.183144868084498,
      0.554045936706603,
      0.530874803285979,
      0.570782038915357,
      0.188594252794321,
      0.490944760664203,
      0.275675221363364,
      0.226482192872815,
      0.145307896641618,
      0.25927002306076,
      0.410702186268921,
      0.165720617046812,
      0.419245700906595,
      0.765315345110108,
      0.61048013094613,
      0.379119115236589,
      0.391782319173654,
      0.142481620291439,
      0.422061847004349,
      0.485893857979681,
      0.187137994625981,
      0.213296100268695,
      0.419109854876027,
      0.201681749113169,
      0.567015310203794,
      0.527227317457984,
      0.54624242542506,
      0.14787942012306,
      0.533539754698497,
      0.266746895213595,
      0.256779467382955,
      0.147261165765114,
      0.271165986679695,
      0.399703987324586,
      0.102535432825815,
      0.354918295424615,
      0.306237087159064,
      0.188743988118037,
      0.111032813280681,
      0.362232680397355,
      0.102525130818106,
      0.394389665120641,
      0.57895869605199,
      0.434461500832657,
      0.526792871853301,
      0.398736059448468,
      0.177155777020044,
      0.623417743920483,
      0.577346092892782,
      0.166584939442367,
      0.424082292503359,
      0.405237070850683,
      0.337191888948103,
      0.589108617435797,
      0.514171657837793,
      0.635856555723151,
      0.436535295453662,
      0.0966215856473235,
      0.384636558923464,
      0.32980234249545,
      0.158235434334483,
      0.128318274366387,
      0.351261856368663,
      0.106879975728005,
      0.439851359191822,
      0.576202278248832,
      0.471479256094378,
      0.508370929636513,
      0.302491344869223,
      0.222254379009313,
      0.638575733831857,
      0.517743262421993,
      0.160635128463252,
      0.461098484421941,
      0.339643787522133,
      0.388245376016513,
      0.606770511419148,
      0.504705441177983,
      0.618255907716306,
      0.416789361407502,
      0.0995688123029015,
      0.448064818863718,
      0.350788712125442,
      0.24119981372441,
      0.130053246954542,
      0.291800789900451,
      0.156454989531212,
      0.562905671272791,
      0.565889411297972,
      0.588390820743699,
      0.457520374275559,
      0.282460868036512,
      0.294867585210343,
      0.619523161167175,
      0.457563931089838,
      0.175779222027336,
      0.531040874835979,
      0.346182677897918,
      0.412969031978302,
      0.648607508250835,
      0.642752661699714,
      0.59928767740813,
      0.358565125366563,
      0.100568046447471,
      0.46241954899295,
      0.365543744492273,
      0.206488744787839,
      0.168356561373024,
      0.249756166819427,
      0.183678727197503,
      0.57892839084276,
      0.55862675391315,
      0.625253140219993,
      0.448456344734707,
      0.214971972838172,
      0.354584388865527,
      0.623907876652247,
      0.417760557487963,
      0.159744710082249,
      0.200919779524118,
      0.289995045775769,
      0.192421671630482,
      0.272420946994784,
      0.347772590645331,
      0.23751897984455,
      0.388701116406916,
      0.141744200136583,
      0.717816660830494,
      0.659665510373585,
      0.598993910617937,
      0.263042704227432,
      0.263133853462637,
      0.272761026146444,
      0.468080421263969,
      0.348700013237766,
      0.193870161038381,
      0.434840563066852,
      0.216145230219851,
      0.450248401466671,
      0.550503378197943,
      0.556004771490651,
      0.353429195918309,
      0.528045037653523,
      0.22191068930531,
      0.429921908531447,
      0.552408540704285,
      0.294691598767092,
      0.274051400303766,
      0.34082017513852,
      0.188879019369458,
      0.755631335700845,
      0.628647259010722,
      0.55100166472262,
      0.309299171944566,
      0.215702262764631,
      0.306067012157685,
      0.45316326315444,
      0.295031299410286,
      0.20479613794761,
      0.467813777457004,
      0.175888794963345,
      0.501847670879852,
      0.522707016832489,
      0.569829328998952,
      0.263372035121556,
      0.345686060211926,
      0.358673676278934,
      0.244775738839976,
      0.173258558993612,
      0.260077468109206,
      0.21564138920408,
      0.063318511966647,
      0.0547469763094831,
      0.101660103467592,
      0.0820105612127186,
      0.135387008003158,
      0.080079045841613,
      0.168692825325484,
      0.0632842315359055,
      0.185505593229788,
      0.0994535183010591,
      0.16374882614202,
      0.449453304844333,
      0.2995109005449,
      0.247108952243326,
      0.366792970098636,
      0.424058514115193,
      0.311645004045699,
      0.533717105587715,
      0.52153142778405,
      0.256324562003883,
      0.311105373337276,
      0.560114637839585,
      0.502181316739297,
      0.236600162501746,
      0.323094036639009,
      0.362831921207018,
      0.339079422569799,
      0.119077368932639,
      0.307572036358753,
      0.118065547559677,
      0.373316034784546,
      0.595219318751728,
      0.462288680922122,
      0.555339878548856,
      0.45012132812437,
      0.145436664107315,
      0.570617415241524,
      0.683939427471303,
      0.240048542351648,
      0.25558519993862,
      0.421068508210872,
      0.20717897456986,
      0.575817850607567,
      0.565522493668879,
      0.59391689025651,
      0.480180636332558,
      0.167090173829396,
      0.412377063816156,
      0.759083901318154,
      0.608341232983422,
      0.384863193978855,
      0.390875241996125,
      0.148409625983411,
      0.419676871122067,
      0.485201501495876,
      0.198286059986862,
      0.209135768599563,
      0.398876991984537,
      0.209794215891513,
      0.634469632196564,
      0.536871273996572,
      0.545605948980392,
      0.361300948489995,
      0.385036220789577,
      0.287892303427667,
      0.457230928575829,
      0.471158971318965,
      0.263151088675778,
      0.437563470033809,
      0.144034799121183,
      0.481741856443479,
      0.711180598457287,
      0.64883047744739,
      0.303857446019593,
      0.391957374256379,
      0.153748624090034,
      0.44436827115334,
      0.448025659234738,
      0.183100227635233,
      0.256394252999288,
      0.418516182202281,
      0.225261077023877,
      0.597914216579521,
      0.550416888336834,
      0.505372879289329,
      0.150313243079896,
      0.501503619310593,
      0.240213460188984,
      0.243937333712778,
      0.152728352896185,
      0.25933353936193,
      0.27947918639612,
      0.394348799887367,
      0.463448059111051,
      0.313279817708038,
      0.327458795931397,
      0.371310828188554,
      0.27157484421064,
      0.356481341548041,
      0.292262687099604,
      0.323391650267781,
      0.401496969192951,
      0.379832298802051,
      0.349571969163909,
      0.347403883252737,
      0.317221985565538,
      0.364321843266082,
      0.31474669579095,
      0.261613372743175,
      0.185886872198191,
      0.287910694350991,
      0.223815834704098,
      0.2919037156585,
      0.30954444279793,
      0.43839796894801,
      0.692261434334922,
      1,
      0.97445361770054,
      0.878732503332207,
      0.430742293421951,
      0.817708083640381
    ],
    "chord_labels": [
      "A",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Dm",
      "Gm",
      "G",
      "G",
      "G",
      "G",
      "G",
      "G",
      "G",
      "G",
      "Gm",
      "G",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "Gm",
      "D",
      "D",
      "Bm",
      "D#m",
      "Gm",
      "D",
      "D#",
      "Gm",
      "D#m",
      "Gm",
      "G",
      "Gm",
      "D#",
      "D#",
      "D",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "Gm",
      "Gm",
      "D",
      "D",
      "Bm",
      "D#m",
      "Gm",
      "D",
      "D#",
      "Gm",
      "D#m",
      "Gm",
      "G",
      "D#",
      "D#",
      "D#",
      "D",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "Cm",
      "Gm",
      "D#m",
      "Gm",
      "G",
      "D#",
      "Cm",
      "D#",
      "D",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Bm",
      "Gm",
      "G",
      "Cm",
      "Gm",
      "D#m",
      "Gm",
      "G",
      "Cm",
      "Cm",
      "D#",
      "G",
      "Gm",
      "Gm",
      "D",
      "D",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Dm",
      "G",
      "G",
      "G",
      "Gm",
      "G",
      "Gm",
      "Gm",
      "G",
      "G",
      "G",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Dm",
      "G",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "G",
      "G",
      "F#",
      "D#m",
      "G",
      "Gm",
      "G",
      "G",
      "F#",
      "Gm",
      "D#",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "G",
      "Gm",
      "D#m",
      "D",
      "G",
      "Gm",
      "G",
      "Gm",
      "F#",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D#m",
      "Gm",
      "D",
      "Cm",
      "Em",
      "F#",
      "D",
      "Gm",
      "Gm",
      "Cm",
      "D#",
      "D",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D#m",
      "Gm",
      "D",
      "Cm",
      "Gm",
      "D",
      "Gm",
      "Gm",
      "G",
      "Cm",
      "Cm",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "Gm",
      "D",
      "Dm",
      "D",
      "G",
      "D#",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "D",
      "Dm",
      "D",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "Gm",
      "D",
      "D",
      "Dm",
      "Dm",
      "Dm",
      "D",
      "D",
      "D",
      "D",
      "G",
      "Em",
      "Gm",
      "G",
      "G",
      "Gm",
      "G",
      "G",
      "Gm",
      "D#",
      "D#",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Cm",
      "D#",
      "Gm",
      "D",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "F#",
      "F#",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "Dm",
      "G",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "C",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "D",
      "Gm",
      "Dm",
      "D",
      "G",
      "Cm",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "G",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "G",
      "D",
      "D",
      "D",
      "Gm",
      "D",
      "D",
      "D",
      "D",
      "C#",
      "Gm",
      "G",
      "Gm",
      "Em",
      "Gm",
      "D#",
      "Gm",
      "Gm",
      "Gm",
      "E",
      "D#",
      "G#m",
      "Gm",
      "G",
      "B",
      "D#",
      "Cm"
    ],
    "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
    ],
    "key_change_timestamps": [
      15.975,
      31.951,
      35.944,
      43.932,
      47.926,
      55.914,
      59.907,
      67.895,
      71.889,
      79.877,
      83.87,
      87.864,
      91.858,
      99.846,
      103.84,
      111.827,
      115.821,
      123.809,
      127.803,
      131.796,
      135.79,
      143.778,
      151.766,
      155.759,
      159.753,
      167.741,
      171.735,
      179.722,
      183.716,
      191.704,
      195.698
    ],
    "key_change_from": [
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major"
    ],
    "key_change_to": [
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor",
      "D major",
      "G minor"
    ],
    "mode_family": "minor",
    "mode_detail": null,
    "essentia_harmonic_tension_curve": [
      0,
      0.4999973177909851,
      0.4999983012676239,
      0.49999886751174927,
      0.49999645352363586,
      0.4999966025352478,
      0.4999956488609314,
      0.4999956488609314,
      0.49999526143074036,
      0.4999968111515045,
      0.4999968707561493,
      0.4999983012676239,
      0.49999937415122986,
      0.4999999403953552,
      0.49989426136016846,
      0.499999463558197,
      0.4999999403953552,
      0.4999880790710449,
      0.49999985098838806,
      0.4999997913837433,
      0.49999988079071045,
      0.4999205768108368,
      0.4999994933605194,
      0.5,
      0.49999767541885376,
      0.4999994933605194,
      0.499999076128006,
      0.4999838173389435,
      0.4999851584434509,
      0.4999971091747284,
      0.49999773502349854,
      0.4998674690723419,
      0.4998781979084015,
      0.4999058246612549,
      0.4999997913837433,
      0.4998241066932678,
      0.49988365173339844,
      0.49982166290283203,
      0.4999982416629791,
      0.4997291564941406,
      0.4998604357242584,
      0.4997672140598297,
      0.4996880292892456,
      0.4999017119407654,
      0.4998600482940674,
      0.4998948276042938,
      0.4999992847442627,
      0.49999359250068665,
      0.49999943375587463,
      0.49999764561653137,
      0.4999805986881256,
      0.49999427795410156,
      0.49998873472213745,
      0.49990591406822205,
      0.4998403787612915,
      0.49994757771492004,
      0.49988868832588196,
      0.4997962415218353,
      0.4997989237308502,
      0.49986299872398376,
      0.49987003207206726,
      0.4998781979084015,
      0.4997604191303253,
      0.49982887506484985,
      0.49980902671813965,
      0.4998970627784729,
      0.49975597858428955,
      0.4998544454574585,
      0.49999213218688965,
      0.49999096989631653,
      0.4999949336051941,
      0.4998602569103241,
      0.4999828040599823,
      0.4999992847442627,
      0.49992358684539795,
      0.49996834993362427,
      0.4998618960380554,
      0.4998774230480194,
      0.4998825788497925,
      0.4998915195465088,
      0.49986451864242554,
      0.499853253364563,
      0.4998394548892975,
      0.4998544156551361,
      0.4998178482055664,
      0.49982407689094543,
      0.4998531639575958,
      0.49987077713012695,
      0.4998849332332611,
      0.49991554021835327,
      0.49988994002342224,
      0.4999842941761017,
      0.4999992847442627,
      0.4999994933605194,
      0.4999881386756897,
      0.49998700618743896,
      0.4999989867210388,
      0.499997615814209,
      0.49985307455062866,
      0.49987080693244934,
      0.49988678097724915,
      0.49999940395355225,
      0.4998476207256317,
      0.4998739957809448,
      0.4998854994773865,
      0.4997357726097107,
      0.4998512268066406,
      0.499862402677536,
      0.4998624622821808,
      0.4998663067817688,
      0.4998485743999481,
      0.4998769164085388,
      0.4999827444553375,
      0.4998749792575836,
      0.49999359250068665,
      0.49989229440689087,
      0.49990034103393555,
      0.4999980032444,
      0.499814510345459,
      0.4999884068965912,
      0.49999991059303284,
      0.4998769164085388,
      0.4999900758266449,
      0.49998927116394043,
      0.4997776746749878,
      0.49984580278396606,
      0.49976181983947754,
      0.49969637393951416,
      0.4996913969516754,
      0.49977585673332214,
      0.4997261166572571,
      0.49985551834106445,
      0.49972110986709595,
      0.49978774785995483,
      0.4999915361404419,
      0.49992093443870544,
      0.49998536705970764,
      0.4999982714653015,
      0.49986061453819275,
      0.49995744228363037,
      0.49999937415122986,
      0.4998627305030823,
      0.49997079372406006,
      0.49987632036209106,
      0.49987778067588806,
      0.4999871253967285,
      0.4997809827327728,
      0.4998534023761749,
      0.4998505711555481,
      0.4996882379055023,
      0.49976208806037903,
      0.49975472688674927,
      0.4997527301311493,
      0.49979957938194275,
      0.49984434247016907,
      0.49981197714805603,
      0.49989935755729675,
      0.4998834431171417,
      0.4999868869781494,
      0.49999764561653137,
      0.49999964237213135,
      0.4999927580356598,
      0.49998998641967773,
      0.49986928701400757,
      0.4999796152114868,
      0.49990740418434143,
      0.49984437227249146,
      0.49985983967781067,
      0.49999913573265076,
      0.4998583197593689,
      0.49986398220062256,
      0.49987924098968506,
      0.4999244809150696,
      0.49974220991134644,
      0.4998582601547241,
      0.4998326897621155,
      0.49979475140571594,
      0.4998700022697449,
      0.4999210834503174,
      0.4999973773956299,
      0.49992361664772034,
      0.4999872148036957,
      0.499900221824646,
      0.4999988079071045,
      0.4999932646751404,
      0.49978286027908325,
      0.499989777803421,
      0.49999549984931946,
      0.49985170364379883,
      0.4999993145465851,
      0.499897837638855,
      0.49980759620666504,
      0.4998598098754883,
      0.4998466670513153,
      0.4998684525489807,
      0.4998534619808197,
      0.49979302287101746,
      0.4998261332511902,
      0.499828964471817,
      0.4998769462108612,
      0.49962118268013,
      0.4998531639575958,
      0.49990877509117126,
      0.4999697804450989,
      0.4999014735221863,
      0.49998870491981506,
      0.49999138712882996,
      0.499999463558197,
      0.4999428391456604,
      0.4999985694885254,
      0.4998561441898346,
      0.49988195300102234,
      0.4998922049999237,
      0.4997856616973877,
      0.4998578429222107,
      0.4999818503856659,
      0.49985581636428833,
      0.49982261657714844,
      0.49985548853874207,
      0.4998173415660858,
      0.49986329674720764,
      0.49985435605049133,
      0.4998656213283539,
      0.4998665452003479,
      0.49987706542015076,
      0.499991238117218,
      0.4999070465564728,
      0.49999842047691345,
      0.4999893605709076,
      0.49998489022254944,
      0.4999997913837433,
      0.4999823570251465,
      0.49984773993492126,
      0.49986594915390015,
      0.49989643692970276,
      0.4998883903026581,
      0.49982011318206787,
      0.4998522400856018,
      0.499837726354599,
      0.49983543157577515,
      0.49975213408470154,
      0.4998868703842163,
      0.4998857080936432,
      0.4998582601547241,
      0.49988335371017456,
      0.4998854100704193,
      0.4999479651451111,
      0.499948114156723,
      0.4999907910823822,
      0.49985259771347046,
      0.4999084770679474,
      0.49999815225601196,
      0.4999927878379822,
      0.4999861419200897,
      0.49999845027923584,
      0.4999987483024597,
      0.4999952018260956,
      0.4999902546405792,
      0.4997750222682953,
      0.4998209774494171,
      0.4997946619987488,
      0.4997197091579437,
      0.4997641146183014,
      0.49965789914131165,
      0.4997043311595917,
      0.4997573792934418,
      0.49993959069252014,
      0.49979305267333984,
      0.4999926686286926,
      0.49989598989486694,
      0.49998366832733154,
      0.499996155500412,
      0.49986448884010315,
      0.4999995827674866,
      0.4999997317790985,
      0.49997350573539734,
      0.49998632073402405,
      0.49994322657585144,
      0.49987995624542236,
      0.4999905228614807,
      0.4997898042201996,
      0.499835729598999,
      0.49984583258628845,
      0.4997386634349823,
      0.49975845217704773,
      0.49977824091911316,
      0.4997498691082001,
      0.49981656670570374,
      0.4998905062675476,
      0.49980729818344116,
      0.499941885471344,
      0.4999768137931824,
      0.49999621510505676,
      0.49991118907928467,
      0.49998655915260315,
      0.49997952580451965,
      0.49999091029167175,
      0.49999964237213135,
      0.4999909996986389,
      0.49999046325683594,
      0.49998360872268677,
      0.4999735951423645,
      0.4999239146709442,
      0.4998360574245453,
      0.4997725486755371,
      0.49973857402801514,
      0.4997534155845642,
      0.4998340308666229,
      0.49986112117767334,
      0.4997916519641876,
      0.4998627305030823,
      0.4998285174369812,
      0.4997619688510895,
      0.4999438226222992,
      0.49996837973594666,
      0.4999677836894989,
      0.49989771842956543,
      0.4998916983604431,
      0.4999871850013733,
      0.49984192848205566,
      0.4999869763851166,
      0.4998846650123596,
      0.49983128905296326,
      0.49988967180252075,
      0.49999526143074036,
      0.4997829496860504,
      0.4997483193874359,
      0.4998135566711426,
      0.49987220764160156,
      0.4997841715812683,
      0.4996594488620758,
      0.4997597634792328,
      0.4997847378253937,
      0.4998171031475067,
      0.49978381395339966,
      0.499998539686203,
      0.4999033212661743,
      0.49999549984931946,
      0.49999770522117615,
      0.4998326599597931,
      0.4999964237213135,
      0.49999871850013733,
      0.4999619722366333,
      0.49998441338539124,
      0.4999938905239105,
      0.4999277591705322,
      0.4999918043613434,
      0.49966248869895935,
      0.49983152747154236,
      0.4998514652252197,
      0.4997386038303375,
      0.49975383281707764,
      0.499787300825119,
      0.49969813227653503,
      0.49981075525283813,
      0.4998512268066406,
      0.4997490644454956,
      0.49994775652885437,
      0.4999965727329254,
      0.49998342990875244,
      0.49999895691871643,
      0.4999941289424896,
      0.4998505413532257,
      0.49999117851257324,
      0.49999988079071045,
      0.4999881982803345,
      0.4998837113380432,
      0.49999678134918213,
      0.4999796748161316,
      0.49986422061920166,
      0.49984174966812134,
      0.49985232949256897,
      0.49973106384277344,
      0.4997783601284027,
      0.49975013732910156,
      0.49981024861335754,
      0.4996401369571686,
      0.49983158707618713,
      0.4997979700565338,
      0.49981197714805603,
      0.4999934732913971,
      0.49998772144317627,
      0.49999096989631653,
      0.49997711181640625,
      0.4999818503856659,
      0.4999938905239105,
      0.49999362230300903,
      0.4999835789203644,
      0.4999856650829315,
      0.4999828636646271,
      0.4999859035015106,
      0.4999857246875763,
      0.4999738037586212,
      0.49998578429222107,
      0.49997660517692566,
      0.49999430775642395,
      0.4999852776527405,
      0.49995672702789307,
      0.4999776780605316,
      0.4999370872974396,
      0.4999980628490448,
      0.49998727440834045,
      0.49997878074645996,
      0.4999952018260956,
      0.49982950091362,
      0.49962377548217773,
      0.49964001774787903,
      0.49988314509391785
    ]
  },
  "pitch": {
    "average_pitch_height": 0.102896488411201,
    "pitch_range": 1,
    "melody_contour_type": "jagged",
    "interval_sharpness": 0.491627626655887,
    "repetition_score": 0.793413339522684,
    "analyzed_at": "2026-03-22T16:25:27.741374+00:00",
    "pitch_contour_hz": [
      0,
      39.2761727064083,
      67.7604896115489,
      67.679658498539,
      74.8941135842802,
      74.8508833429352,
      74.7683769371622,
      67.7191774379267,
      60.6706952164059,
      53.5191132966148,
      42.8307130796577,
      0,
      0,
      0,
      22.3087434750593,
      18.7344737315056,
      10.1848033828787,
      22.3094945076691,
      22.4454726318869,
      58.6302548872129,
      38.8675801007623,
      82.0450607269541,
      95.7361460314949,
      6.19047619047619,
      32.2678094876755,
      74.5877223025014,
      32.1230348097433,
      64.240628583581,
      57.3047161217354,
      74.5500637870764,
      74.2318356256974,
      74.5320444972585,
      54.3904151793958,
      55.0210110350993,
      35.7363824743523,
      58.7784603166229,
      261.066335976116,
      298.245032899352,
      101.55036871894,
      252.947642989497,
      188.897493924012,
      99.0088469415016,
      296.364153025248,
      153.01444139821,
      12.3809523809524,
      10.1658137513844,
      66.6030105786911,
      46.1327548020192,
      74.5044986190139,
      67.6584511410517,
      61.5997788819303,
      56.6616683800364,
      74.5745104912411,
      73.8885366033467,
      74.2541491592613,
      33.484974601829,
      41.569424469971,
      59.7254096823713,
      53.5358035491089,
      0,
      0,
      30.3200902771132,
      0,
      31.8249887532364,
      132.423184190223,
      295.859847226491,
      116.941097974754,
      0,
      17.1296015221729,
      65.9581434683347,
      66.8855735822224,
      75.7256596216085,
      42.5022323782435,
      60.7090743216284,
      55.8590381624472,
      73.1685101620022,
      35.2094851585795,
      75.1957859844707,
      34.5438871352888,
      62.4085729641859,
      67.0730718577241,
      48.2945580831617,
      0,
      0,
      0,
      0,
      9.53988204196321,
      29.4654693734407,
      0,
      0,
      0,
      30.2283533115834,
      59.0435642956571,
      66.9070436754989,
      72.1597438185081,
      46.0166523703059,
      64.3714473671346,
      49.0514406691204,
      65.6045188094629,
      41.4458370846591,
      74.0219852846175,
      35.3724498455745,
      66.9006261719889,
      57.9255634947411,
      38.3527767497065,
      0,
      0,
      32.3372184474441,
      0,
      15.8203218981648,
      75.0160340193329,
      227.327450379408,
      300.480277689879,
      305.48449754732,
      134.95249801486,
      66.0329343359945,
      73.8634041019502,
      59.6379226485284,
      69.4901975020917,
      72.8640501500678,
      73.2418728833193,
      73.0217701951213,
      74.4055533978437,
      71.2451686982071,
      55.1447643214185,
      60.4314675458964,
      65.7563071419816,
      35.0523568633194,
      0,
      12.670343424722,
      67.9881519696369,
      50.5515893025389,
      41.1814685126566,
      22.7534131421851,
      0,
      0,
      0,
      38.1906585643219,
      63.4202294129412,
      74.2294195302777,
      66.1035302456609,
      71.8576340361721,
      65.6987767497871,
      72.3777136272165,
      69.6574141970038,
      74.4012812574867,
      71.4007617491669,
      48.1951838650972,
      59.7082236009612,
      65.8651415966273,
      29.2526655152432,
      0,
      48.6040787433844,
      66.9997105187548,
      47.0071469889905,
      0,
      25.8665817692999,
      15.6926057117475,
      0,
      0,
      47.7897173671798,
      38.2763441424864,
      76.190594086092,
      3.78873715784774,
      70.7670261127409,
      46.2425050954056,
      74.3094975960371,
      72.9134252639649,
      65.5777018861568,
      47.486663300764,
      34.4777107482803,
      42.2795770419083,
      37.7383142729342,
      216.644321231561,
      350.56074507116,
      80.4786564620188,
      216.063316278507,
      100.300618868922,
      18.9333860530493,
      9.39392190349282,
      9.44802571238209,
      3.47428729238615,
      44.0202288985823,
      12.9471826200793,
      67.7677974588627,
      68.832116373751,
      3.57609168079513,
      66.9993487043051,
      53.5399438544573,
      74.2525768169343,
      65.2764816046468,
      72.1522718790365,
      40.9286624341432,
      37.9375483864677,
      42.2592168435468,
      41.4405165545024,
      245.50404789584,
      266.742573494575,
      45.6968468309258,
      0,
      0,
      0,
      0,
      0,
      0,
      34.866857503841,
      19.3730517315749,
      37.9907382384257,
      77.5682485327701,
      32.3742757171199,
      59.9930259232894,
      53.5388679259196,
      74.2423700237843,
      50.3508397911838,
      75.8280120389371,
      57.1932841158799,
      38.008524821683,
      54.3565346976806,
      41.5619428228943,
      106.451688877746,
      329.278250063451,
      127.675833340074,
      201.02423109461,
      12.5797517117264,
      75.5794144038129,
      300.319805534031,
      172.380962214264,
      22.7955481992157,
      0,
      60.2402895619017,
      42.6007978381612,
      76.6298974002093,
      32.1443474815299,
      60.0327910778696,
      56.8906239035151,
      74.423281244426,
      53.4423073701254,
      76.6926898405746,
      53.4361547322618,
      38.7023731394778,
      53.9407814019746,
      38.8549271999763,
      0,
      0,
      0,
      0,
      22.1731009932635,
      199.594231404703,
      288.169653077641,
      299.555688803996,
      196.000603697207,
      170.056777471057,
      66.1771857238877,
      72.3772574887052,
      74.7243046655094,
      57.9874244215768,
      70.8275589769125,
      68.6534648548015,
      74.1160935216904,
      69.7627533923234,
      71.6450851091544,
      52.0197480597839,
      73.3957462501875,
      54.5941259833931,
      57.0311727615602,
      0,
      15.5302942850797,
      67.2940525455253,
      44.8346280494414,
      28.2636813921357,
      22.3681243938867,
      37.9199162000394,
      0,
      22.5228974691769,
      16.3457751829022,
      65.8133434742196,
      69.6146351607689,
      69.9931248615053,
      57.0334108808985,
      71.774981995326,
      69.6643547367083,
      73.1920352535942,
      74.1162462210468,
      71.9948675011583,
      48.6711639620676,
      72.6777164910317,
      57.8222768929221,
      50.5656343270992,
      0,
      22.6503048165579,
      66.9149500073981,
      47.4655653438399,
      25.1455105192501,
      28.4542824962122,
      37.3051685695249,
      0,
      0,
      22.6969554486614,
      66.7332610141848,
      74.8314790620742,
      74.6659862182081,
      75.3121716126306,
      79.4186401999318,
      69.715590242319,
      79.8134330244781,
      78.7133165751039,
      80.0961565546122,
      82.1601075618732,
      73.764725146873,
      62.804456239599,
      22.1687423079704,
      0,
      0,
      18.5714285714286,
      59.6851002663727,
      18.9776369618197,
      0,
      0,
      0,
      9.6134956546188,
      55.0412619612867,
      33.0731298399045,
      66.1275631796882,
      72.0481132071529,
      72.1302064792623,
      69.2096849474071,
      60.4049553473887,
      72.5479408952148,
      75.7520487088338,
      65.097885194491,
      68.4449972794278,
      62.8790587830071,
      68.1014405487844,
      35.2205418855919,
      22.2421206770316,
      0,
      0,
      0,
      41.0891875841669,
      0,
      0,
      0,
      22.5451588204303,
      38.3781715321298,
      64.3209283231168,
      74.3125252842599,
      67.1279726262311,
      71.3974741674475,
      73.9802071561258,
      71.912790386424,
      72.9063312155911,
      73.8069303408436,
      70.9458593781594,
      48.3579298679755,
      63.9687056500939,
      65.8286542977225,
      28.7029146365893,
      0,
      40.8711925068019,
      67.4349971802727,
      44.7026902656383,
      13.4803056394594,
      31.494780821953,
      18.9696638022922,
      19.5400963614057,
      22.1700875431829,
      47.9435159773095,
      67.3774119855439,
      73.77309590342,
      72.6475368860084,
      72.082435684811,
      65.3270664248706,
      73.1641059274259,
      69.4387049453571,
      72.88224407307,
      64.0774103466143,
      55.4366746587704,
      58.8549796006366,
      65.7925842860229,
      22.7189947609905,
      0,
      47.8362445733402,
      67.2012031989445,
      40.7090979344266,
      19.1903983312258,
      24.9424601406257,
      0,
      0,
      0,
      54.234215435896,
      298.930432840116,
      1019.40109076882,
      961.206334417703,
      1188.75612142358,
      901.555312821259,
      1186.23317471074,
      1190.38872241529,
      845.827733894303,
      1188.09517031072,
      1187.1159936625,
      827.531737897263,
      1122.64777387621,
      776.11005811907,
      680.936598632335,
      801.733504492534,
      806.254136359818,
      673.690912883158,
      830.287479367181,
      818.772622267771,
      667.601123093272,
      827.431507312766,
      794.31130954942,
      730.795708812048,
      825.093172309682,
      659.657684673324,
      46.9545173462676,
      65.6934990626096,
      43.3333333333333,
      0,
      0
    ],
    "pitch_contour_midi": [
      0,
      20.0958604402979,
      34.6928498514342,
      34.673802232398,
      38.3444781565981,
      38.3349543470796,
      38.3159067280432,
      34.6833260419159,
      31.0507453557888,
      27.3943551458662,
      21.9192936405001,
      0,
      0,
      0,
      12.1259371637224,
      10.2977420587613,
      5.35601388639002,
      12.1259371637225,
      12.159270497035,
      22.2343320002117,
      17.3537559443831,
      35.7217976024586,
      36.9031263056221,
      3.41829497197759,
      16.4728035636889,
      38.2682876804557,
      16.4394702303751,
      33.8404688995785,
      30.2269358324924,
      38.2397162519132,
      38.1635257757697,
      38.2111448233726,
      28.5273121560415,
      28.6654073940595,
      19.2053842503904,
      27.1657837177998,
      53.6837023589448,
      51.0225502445664,
      20.8783181131344,
      50.9936024924089,
      32.000998664746,
      20.7306990655372,
      60.001997329994,
      33.4764364940251,
      6.83658994395517,
      5.35125198163115,
      36.306382919778,
      23.67606017408,
      38.2492400614191,
      34.607135565807,
      32.2408452230464,
      30.0697929754473,
      38.2397162519169,
      38.082573394866,
      38.1540019662595,
      17.7248081928181,
      21.5811984026318,
      31.7456071281386,
      29.2840786902356,
      0,
      0,
      15.9966130877946,
      0,
      17.3200462883072,
      28.5009986654541,
      59.9734259014267,
      23.9112751224865,
      0,
      8.95526123920932,
      36.1444781579766,
      34.4547546135011,
      38.5301924422068,
      21.8431031643545,
      31.0507453557945,
      28.9320740605249,
      37.9206686330536,
      18.1486177163624,
      38.3825733946897,
      17.9771891450459,
      32.397988080115,
      34.4738022325521,
      26.099117051445,
      0,
      0,
      0,
      0,
      5.1941091245886,
      15.7823273736456,
      0,
      0,
      0,
      15.9823273735129,
      31.5979880806001,
      34.469040327773,
      36.7067592420033,
      23.6570125550386,
      32.8979880797928,
      25.3566362315061,
      34.1642784231927,
      21.5811984026148,
      38.1111448234216,
      18.1819510496789,
      34.416659375453,
      30.3555072609977,
      20.8097698316756,
      0,
      0,
      17.4343320025287,
      0,
      8.63621362035969,
      18.1354609711696,
      45.2086408546187,
      62.3920971965821,
      60.3829497109079,
      39.2126501151048,
      35.2210449572066,
      38.0920972043745,
      30.7840786892952,
      37.0111448241021,
      37.8444781569115,
      37.91114482355,
      37.8730495854704,
      38.2301924423804,
      37.4492400619186,
      28.722550251152,
      30.9888405939246,
      36.0920972056302,
      19.04824139334,
      0,
      6.91278042009467,
      36.6301924433947,
      27.6130264423115,
      22.4665363653082,
      12.2306990684214,
      0,
      0,
      0,
      20.7764364983595,
      34.56866400524,
      38.1873352995497,
      34.273802232655,
      37.5778114904225,
      34.1833260422308,
      37.7301924426942,
      36.1067592423698,
      38.215906728111,
      37.4682876809645,
      25.1233028983323,
      30.8126501178434,
      36.1206686341826,
      15.7251845165415,
      0,
      26.1657837180743,
      36.392097205446,
      25.7895932421109,
      0,
      13.9446084591689,
      8.60288028704847,
      0,
      0,
      25.9848313372251,
      20.7954841173962,
      38.6397162516653,
      1.87581415255331,
      36.3781878136294,
      23.7093935073887,
      38.2063829185858,
      37.8540019664309,
      34.1738022327003,
      24.9756838507894,
      17.962903430768,
      21.7859603072488,
      20.666912688903,
      44.6848313308741,
      64.9635257676734,
      15.3076421896038,
      44.6514979975457,
      20.8068895417162,
      10.3501230111072,
      5.15601388651863,
      5.17029960079476,
      1.804385581166,
      24.1042552799186,
      6.97944708672056,
      35.6305687664839,
      34.9357069941514,
      1.82819510496137,
      34.502373661079,
      27.3991170506253,
      38.1920972043092,
      34.078564137535,
      37.6920972046118,
      21.4573888788805,
      19.7625271071757,
      21.7811984024897,
      22.5236792224193,
      50.6412215400703,
      49.4892169114241,
      24.5090171844314,
      0,
      0,
      0,
      0,
      0,
      0,
      19.0101461552641,
      10.4596468205615,
      19.7625271071833,
      38.9397162514991,
      16.4966130874849,
      30.8650310702018,
      27.3991170506252,
      38.1920972043077,
      25.6375886123051,
      38.5254305374647,
      30.169792975403,
      19.7625271071856,
      28.5415978703056,
      22.5570125557298,
      21.1449847797642,
      59.4404688917482,
      26.6775654652107,
      41.632826702478,
      6.88897089630105,
      22.1962367628453,
      62.3682876727783,
      35.6859603028048,
      12.2402228779399,
      0,
      32.8452308049704,
      21.8383412596126,
      38.7254305373381,
      16.4442321351343,
      30.8745548797198,
      29.1749312032367,
      38.2349543471391,
      27.3514980030499,
      38.7254305373465,
      28.289216918098,
      19.9291937737502,
      28.4368359656107,
      20.9431031649196,
      0,
      0,
      0,
      0,
      12.0973657351657,
      44.6463597697251,
      59.5210449491135,
      62.3301924346878,
      41.3423505120446,
      40.1610218084523,
      36.2016210150816,
      37.7063829189126,
      38.296859109012,
      30.3650310705174,
      37.3254305381991,
      35.8639020996625,
      38.1587638709966,
      36.135330670922,
      37.5587638713672,
      27.0181646699153,
      37.958763871135,
      29.5555072614872,
      31.0932261761605,
      0,
      8.56002314422009,
      36.4730495863422,
      24.3042552797932,
      15.4870892785924,
      12.1449847827552,
      20.7145317364903,
      0,
      12.1735562113145,
      8.76478504885114,
      36.1063829199069,
      36.0924735280953,
      36.1924735280283,
      30.1555072611114,
      37.5730495856551,
      36.0972354328583,
      37.9254305378129,
      38.1587638709967,
      37.6397162522718,
      25.2233028982789,
      37.7968591093235,
      31.293226176032,
      27.6130264423136,
      0,
      12.2116514493819,
      36.3778114911649,
      25.894355146812,
      13.7731798878441,
      15.5394702309369,
      20.5526269746939,
      0,
      0,
      12.2259371636569,
      36.3301924435778,
      38.3301924423207,
      38.2920972042477,
      38.439716251781,
      39.3111448227383,
      35.0738022322011,
      39.3825733941364,
      39.1540019656861,
      39.4635257750328,
      39.88733529862,
      38.058763871067,
      34.4115211481994,
      12.0926038304093,
      0,
      0,
      10.2548849159328,
      32.697611757451,
      10.359646820626,
      0,
      0,
      0,
      5.21315674362369,
      29.6793167852102,
      17.6295700976357,
      34.3071355659515,
      36.6496163849114,
      37.6730495855847,
      36.0019973376704,
      30.9888405939207,
      37.7730495855238,
      38.5016210136703,
      34.04046889946,
      35.7781878140212,
      32.5217976038428,
      36.6540019671912,
      19.0910985361694,
      12.1116514494442,
      0,
      0,
      0,
      22.4427268415142,
      0,
      0,
      0,
      12.1783181160739,
      20.8192936411917,
      34.7781878146389,
      38.2063829185862,
      34.5023736610963,
      37.4825733952341,
      38.0778114901205,
      37.61590672848,
      37.8540019664298,
      38.0825733948539,
      37.3635257762639,
      25.1566362316485,
      32.8075118893681,
      36.1111448246651,
      15.5918511832906,
      0,
      22.3855839844095,
      36.4968591101435,
      24.2756838512376,
      7.10801851521289,
      17.2343320026494,
      10.3596468206246,
      10.4929801538786,
      12.0926038304094,
      26.0229265752963,
      36.4920972053789,
      38.0778114900927,
      37.758763871269,
      37.6349543475282,
      34.083326042298,
      37.920668633053,
      36.0543782900208,
      37.8587638711822,
      33.7880879472376,
      28.7939788225359,
      30.6031263084506,
      36.1016210151477,
      12.2211752589041,
      0,
      25.9991170514999,
      36.439716253036,
      22.3427268415811,
      10.4167896777299,
      13.7207989354975,
      0,
      0,
      0,
      29.4697929758248,
      29.1581415238594,
      73.8979880716357,
      69.7697929671276,
      86.206382908972,
      65.6177883388111,
      86.1682876708783,
      86.2301924327807,
      61.5276884723968,
      86.1968590994486,
      86.1825733851634,
      61.2514979962169,
      85.2159067185336,
      75.8258068523671,
      67.9075118814327,
      79.3873352902338,
      79.4825733854668,
      64.7793167768741,
      79.9825733854403,
      79.7444781473576,
      64.6459834435482,
      79.9206686235389,
      76.2496163761522,
      71.9309450811815,
      79.8778114806838,
      64.4936024911746,
      25.775307527835,
      36.0587638723292,
      23.9280648038431,
      0,
      0
    ],
    "pitch_confidence_curve": [
      0,
      0.0745342000170941,
      0.101421968737998,
      0.181272273481751,
      0.0851184713558127,
      0.156660647964587,
      0.159560697267556,
      0.0917514973389355,
      0.143221901515196,
      0.101128602395087,
      0.0604659892885138,
      0.0181170548458634,
      0.010011576637071,
      0.0116082722681742,
      0.0228048048888095,
      0.0115053961299134,
      0.0130227240156077,
      0.0106423099662687,
      0.0105549690553185,
      0.0332790540178128,
      0.0142076919980749,
      0.0263471338007413,
      0.0110131996051646,
      0.0100134464056266,
      0.0393755141181937,
      0.0162013144737004,
      0.0289609927281505,
      0.0201566855797401,
      0.0185735350228627,
      0.0312229855924258,
      0.0194955232097067,
      0.0117598925920184,
      0.0129053290251695,
      0.0129136450584232,
      0.0100057796663883,
      0.0101200939689638,
      0.0118269488980705,
      0.0116743179377645,
      0.0118279449423377,
      0.0253205318353102,
      0.01005248296536,
      0.0103510559663305,
      0.0266202502055547,
      0.0101385777006466,
      0.0107088533459325,
      0.0175569657900631,
      0.0100885082819549,
      0.039632753516058,
      0.0164163625477987,
      0.022909697713459,
      0.0212252123187337,
      0.0156159212929677,
      0.027847253530675,
      0.0191481558099227,
      0.0146592791982978,
      0.0103787726306647,
      0.012213955659347,
      0.010002798466909,
      0.011892769470441,
      0.0114955065685676,
      0.0117151566578624,
      0.0121988039676443,
      0.0220673002332709,
      0.0100634459322264,
      0.0210612416000785,
      0.0188578798577569,
      0.010358512399593,
      0.0106820385451709,
      0.0159614274120918,
      0.010122274928337,
      0.0411005614892796,
      0.0203516396322251,
      0.0145764295562284,
      0.0409313485403632,
      0.0248850296483151,
      0.016555761507415,
      0.0234699767983328,
      0.0255879125732362,
      0.0132366316288452,
      0.0107902661365778,
      0.0100380506306064,
      0.0105092261921815,
      0.0105772869830144,
      0.0139811388264839,
      0.0111573120856372,
      0.0122323338198837,
      0.0102479633736727,
      0.015093047145472,
      0.0100007338967551,
      0.0135553995925805,
      0.0152475083590332,
      0.0116095895584852,
      0.0104479631571406,
      0.0431944543798694,
      0.0151760589471118,
      0.0248940772195214,
      0.031452606481966,
      0.0187089162813256,
      0.0136408139089456,
      0.0190376854264112,
      0.0245944890002798,
      0.0133193177809422,
      0.0109114492645193,
      0.010070827501914,
      0.0111135731182704,
      0.0102017249238029,
      0.0135736427397937,
      0.0149014007197727,
      0.0102758622400582,
      0.0100569449291837,
      0.0115822328569437,
      0.0100033684459292,
      0.0205864644328787,
      0.0324354661625426,
      0.0114157941811471,
      0.0102826579074906,
      0.0120153466439961,
      0.011027891299699,
      0.0100177947275657,
      0.0152357667398023,
      0.0178353751665123,
      0.017726294563008,
      0.0861241269351009,
      0.0108507817523949,
      0.0100600167619754,
      0.0123572333856922,
      0.0100002107860582,
      0.0100067712770436,
      0.0100000012660966,
      0.0100001531187025,
      0.0100070659418013,
      0.0100006267641306,
      0.0100000007784847,
      0.010763556526265,
      0.0101956350075024,
      0.0100000016283421,
      0.0100000044682379,
      0.0100027742511573,
      0.0100229123607654,
      0.0120955638047722,
      0.010647550050075,
      0.010060757145486,
      0.014945205167749,
      0.0179748994415085,
      0.0443923810962185,
      0.0515152648775463,
      0.0108424448738725,
      0.010042633656061,
      0.0122091506235017,
      0.0100001329738411,
      0.010002632226397,
      0.0100000044554965,
      0.0100000801258032,
      0.0100067316262286,
      0.0100006335986518,
      0.0100000001397143,
      0.010036027332021,
      0.0101110380466749,
      0.010000000356549,
      0.0100001513236625,
      0.0100047032553473,
      0.0100499427514711,
      0.0278446568838478,
      0.0111287087646589,
      0.0897304004665381,
      0.0944624071868422,
      0.0373134702931188,
      0.0111568515272145,
      0.0236924970793579,
      0.0279916155361035,
      0.016430754425453,
      0.0714937581269732,
      0.0157315980153153,
      0.0613884619288079,
      0.0148822165844035,
      0.0100173952157649,
      0.0145537282622256,
      0.0333986543145067,
      0.0101958765298786,
      0.0129719579428319,
      0.00952929493410153,
      0.010369099554269,
      0.010018459954712,
      0.0158216648362011,
      0.0108396502222822,
      0.0274494083500454,
      0.016812422135791,
      0.0895427352898295,
      0.0975223838255632,
      0.037396877388696,
      0.0108311517096023,
      0.0269018137812025,
      0.0203884786956427,
      0.0143085731646204,
      0.0713198614667841,
      0.0157326577687318,
      0.0852898029700003,
      0.0142126842801747,
      0.0100129844431289,
      0.0144107740564563,
      0.0260505176404851,
      0.0101550213218956,
      0.0137206968472934,
      0.00953915168152531,
      0.010850152431677,
      0.0100096637430572,
      0.0159141217156106,
      0.0281224232945681,
      0.0377983450253419,
      0.01769514574511,
      0.0107897524907528,
      0.0242739858203639,
      0.0324273941451107,
      0.0370663349865181,
      0.0236580528644255,
      0.0130151036422903,
      0.0102703564075212,
      0.0106403718424163,
      0.0100035246466131,
      0.0174407166856329,
      0.0186262533868206,
      0.019251999180886,
      0.011983148144067,
      0.0100001476769769,
      0.0100300901710062,
      0.0127868063782947,
      0.0100097966427697,
      0.0109918274151086,
      0.0162006011349032,
      0.0100239179695784,
      0.0264694259756932,
      0.0339503779195676,
      0.0186978281104216,
      0.0113027066600672,
      0.024058609174605,
      0.0364353901223603,
      0.0480069020724851,
      0.0164485766789646,
      0.0114794685985655,
      0.0107643783369988,
      0.0103666957661819,
      0.010000971603256,
      0.0153252549015328,
      0.0185600483557411,
      0.0236654754423601,
      0.0118696310877793,
      0.010000092123884,
      0.010072330902902,
      0.0150083329391084,
      0.0105491442014219,
      0.0575051452280802,
      0.017858541157769,
      0.0107886354633939,
      0.0110619340497658,
      0.0121290064418779,
      0.0100363402979797,
      0.016155150447138,
      0.0120923097695092,
      0.0179184840451576,
      0.066756893189433,
      0.0271780701659188,
      0.0100845511204996,
      0.0119403857849973,
      0.0104238095542228,
      0.0100070521724566,
      0.0100000001731627,
      0.0100003476031233,
      0.0100066750608767,
      0.0100066865304046,
      0.0100009009649689,
      0.0100241796601193,
      0.0100000049512491,
      0.010265456405696,
      0.0100223072507371,
      0.0100001537108865,
      0.0100237546806345,
      0.0111039987958604,
      0.0115550828314306,
      0.0100251300913807,
      0.0153185731531063,
      0.015978552584792,
      0.0124465594715694,
      0.0717259029606366,
      0.0279230670045333,
      0.0100651496890614,
      0.0124709536891833,
      0.0100004234313325,
      0.0100068057289317,
      0.010000005515673,
      0.0100001481491046,
      0.0100035385148278,
      0.0100076009321871,
      0.0100000007735271,
      0.0107044086464364,
      0.0100412211191966,
      0.0101089926446846,
      0.0100000259814195,
      0.0100013136683189,
      0.0100218226820012,
      0.313384287647411,
      0.442102003260608,
      0.179865212344181,
      0.0107257832724848,
      0.0792670155836316,
      0.0138082231073005,
      0.0577810088355627,
      0.0123389576666284,
      0.014188607248939,
      0.013318081859294,
      0.0124421216588477,
      0.010040856021439,
      0.0102743510229264,
      0.0223760460617516,
      0.0106328852170366,
      0.0100025632979001,
      0.0100937826746659,
      0.0105121036675523,
      0.0100397507489627,
      0.0361165964470922,
      0.0211959732917183,
      0.0113911047417433,
      0.0100538266678127,
      0.0147320262452762,
      0.013880498002416,
      0.0171144479606046,
      0.0119525061881529,
      0.0695662425283772,
      0.0910264774458627,
      0.0154820417910422,
      0.0160814374699487,
      0.0104230541148437,
      0.026282291144596,
      0.0100043998212062,
      0.0100186152752112,
      0.0100601133786378,
      0.0101263572266723,
      0.0100404212338281,
      0.0100022440961161,
      0.010000028374311,
      0.0114212206959988,
      0.0100011710525539,
      0.010029957132755,
      0.0100304515042938,
      0.0100169634968311,
      0.011281595239432,
      0.0122369718328062,
      0.0107527515498911,
      0.0100421214743662,
      0.0140899649786764,
      0.0177607330623451,
      0.0421945974104506,
      0.0556821668188845,
      0.011023997347404,
      0.0100862266711577,
      0.0122774276810849,
      0.0100001987564975,
      0.0100068238749812,
      0.0100000004333658,
      0.0100004470738975,
      0.0100084223611244,
      0.00952425269099895,
      0.0100000209429024,
      0.0100483976730611,
      0.0103570582031189,
      0.00952509517290849,
      0.010006733087381,
      0.0100042170600143,
      0.0100418696782836,
      0.0130912328586302,
      0.0100164367750216,
      0.0114746532005585,
      0.0127111352516816,
      0.017739062235624,
      0.0525555619207906,
      0.0370987580845803,
      0.0110056050270844,
      0.0101377515062762,
      0.0123334078060646,
      0.0100002799171624,
      0.0100008999312942,
      0.0100000067732559,
      0.0100000392406065,
      0.0100025952048602,
      0.0100002054291082,
      0.0100000000016841,
      0.0100138059900338,
      0.0102192271839762,
      0.0100000053348136,
      0.0100000226626452,
      0.0100147594092019,
      0.0980461957148997,
      0.135938488316553,
      0.191815552773872,
      0.442543593809181,
      0.267421917749136,
      0.25054826469488,
      0.370798396681523,
      0.146900963061531,
      0.291635830081696,
      0.1809535663795,
      0.138475619562768,
      0.145738741388074,
      0.136112150771778,
      0.241121423059276,
      0.123414163865202,
      0.117388288539683,
      0.153168050543561,
      0.244905839000804,
      0.409080385574927,
      0.248225940162554,
      0.410880562615846,
      0.302115081477532,
      0.307677618294871,
      0.211706746421322,
      0.0170116276920693,
      0.0102848925746514,
      0.0100228234537492,
      0.00857150590180212,
      0,
      0
    ],
    "melody_contour": [
      0,
      0,
      50,
      50,
      50,
      50,
      51,
      50,
      0,
      50,
      50,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      62,
      62,
      62,
      62,
      62,
      55,
      63,
      62,
      63,
      63,
      56,
      63,
      63,
      67,
      63,
      62,
      67,
      62,
      63,
      63,
      62,
      66,
      64,
      62,
      62,
      62,
      62,
      55,
      63,
      63,
      63,
      61,
      60,
      0,
      63,
      66,
      63,
      62,
      67,
      63,
      63,
      63,
      62,
      59,
      55,
      64,
      63,
      62,
      63,
      60,
      59,
      62,
      63,
      62,
      62,
      58,
      62,
      64,
      63,
      63,
      66,
      65,
      62,
      63,
      62,
      62,
      57,
      63,
      63,
      62,
      63,
      62,
      0,
      61,
      62,
      0,
      62,
      58,
      63,
      63,
      65,
      63,
      62,
      65,
      62,
      62,
      63,
      62,
      57,
      58,
      0,
      0,
      50,
      0,
      0,
      0,
      0,
      0,
      62,
      62,
      63,
      62,
      80,
      0,
      81,
      79,
      79,
      79,
      79,
      80,
      79,
      67,
      0,
      63,
      0,
      0,
      63,
      63,
      0,
      0,
      0,
      63,
      63,
      67,
      63,
      63,
      62,
      62,
      79,
      81,
      67,
      67,
      67,
      67,
      63,
      63,
      63,
      62,
      62,
      0,
      62,
      61,
      61,
      62,
      63,
      63,
      63,
      67,
      63,
      62,
      62,
      62,
      62,
      61,
      63,
      63,
      63,
      63,
      65,
      63,
      62,
      0,
      62,
      61,
      61,
      62,
      62,
      63,
      63,
      66,
      63,
      62,
      62,
      62,
      62,
      61,
      63,
      63,
      63,
      63,
      63,
      62,
      62,
      57,
      63,
      63,
      63,
      62,
      62,
      58,
      62,
      65,
      63,
      62,
      66,
      62,
      63,
      63,
      62,
      62,
      0,
      63,
      63,
      63,
      62,
      62,
      63,
      63,
      63,
      62,
      63,
      57,
      62,
      64,
      64,
      62,
      66,
      67,
      62,
      63,
      63,
      62,
      57,
      0,
      0,
      63,
      0,
      0,
      0,
      78,
      83,
      0,
      74,
      0,
      63,
      62,
      63,
      0,
      62,
      79,
      79,
      80,
      81,
      80,
      79,
      74,
      74,
      74,
      62,
      0,
      0,
      0,
      79,
      0,
      62,
      63,
      70,
      79,
      61,
      62,
      62,
      63,
      63,
      80,
      79,
      80,
      79,
      79,
      0,
      0,
      0,
      54,
      54,
      53,
      53,
      53,
      54,
      55,
      55,
      54,
      54,
      54,
      54,
      55,
      54,
      57,
      56,
      56,
      56,
      56,
      59,
      57,
      65,
      0,
      69,
      0,
      0,
      0,
      0,
      0,
      0,
      63,
      63,
      63,
      62,
      0,
      79,
      62,
      62,
      56,
      58,
      57,
      0,
      0,
      63,
      50,
      0,
      0,
      78,
      80,
      0,
      74,
      0,
      69,
      79,
      79,
      0,
      62,
      79,
      79,
      80,
      79,
      81,
      79,
      0,
      0,
      0,
      0,
      0,
      0,
      78,
      80,
      79,
      0,
      62,
      63,
      61,
      61,
      62,
      0,
      62,
      79,
      0,
      67,
      67,
      67,
      67,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      81,
      79,
      80,
      79,
      79,
      80,
      79,
      79,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "timbre": {
    "spectral_centroid": 0.246881924592097,
    "spectral_brightness": 0.212029551217749,
    "spectral_flux": 0.299567204753306,
    "harmonic_richness": 0.657675692668802,
    "noise_content": 0.342324307331198,
    "distortion_level": 0.603650941210516,
    "transient_sharpness": 0.644930617466801,
    "warmth_metallic_index": 0.701406342383411,
    "analog_digital_feel": 0.586783039836694,
    "mfcc_mean": [
      0,
      1,
      0.762592896156467,
      0.962086245795301,
      0,
      0.940126214707852,
      0.473898212025885,
      1,
      0.272222934671171,
      0.896579432365443,
      0.356680226461272,
      0.776419653658403,
      0.283659736409489
    ],
    "mfcc_std": [
      1,
      1,
      1,
      0.799199310709207,
      0.546160715367802,
      0.552903757595529,
      0.62087073048022,
      0.55417570967562,
      0.468015069987544,
      0.459454995927093,
      0.409631416260917,
      0.424457602961022,
      0.351888387417011
    ],
    "analyzed_at": "2026-03-22T16:25:28.29127+00:00",
    "spectral_flatness": 0.031657,
    "zero_crossing_rate_curve": [
      0,
      0.0515718005952381,
      0.0813337053571429,
      0.0771716889880952,
      0.0793573288690476,
      0.0750325520833333,
      0.0761951264880952,
      0.0763113839285714,
      0.0680803571428571,
      0.0740559895833333,
      0.0609886532738095,
      0.0964471726190476,
      0.0997488839285714,
      0.0857747395833333,
      0.0624767485119048,
      0.0600120907738095,
      0.0919596354166667,
      0.0823102678571429,
      0.06640625,
      0.0890997023809524,
      0.0663597470238095,
      0.0563616071428571,
      0.085356212797619,
      0.145903087797619,
      0.112885974702381,
      0.135974702380952,
      0.088774181547619,
      0.0965634300595238,
      0.131440662202381,
      0.0954706101190476,
      0.120791480654762,
      0.124302455357143,
      0.0807524181547619,
      0.0724748883928571,
      0.105654761904762,
      0.0847516741071429,
      0.108723958333333,
      0.126790364583333,
      0.0770321800595238,
      0.0894949776785714,
      0.169689360119048,
      0.083100818452381,
      0.114629836309524,
      0.105166480654762,
      0.113025483630952,
      0.0899600074404762,
      0.0796595982142857,
      0.0896344866071429,
      0.12548828125,
      0.0891462053571429,
      0.106096540178571,
      0.127673921130952,
      0.0937267485119048,
      0.130464099702381,
      0.124837239583333,
      0.0834263392857143,
      0.0667782738095238,
      0.112444196428571,
      0.0709635416666667,
      0.106422061011905,
      0.126092819940476,
      0.0727771577380952,
      0.110467819940476,
      0.16069103422619,
      0.0814034598214286,
      0.121163504464286,
      0.0974702380952381,
      0.109026227678571,
      0.0939825148809524,
      0.14111328125,
      0.0792875744047619,
      0.135835193452381,
      0.139253162202381,
      0.066313244047619,
      0.151529947916667,
      0.111746651785714,
      0.110467819940476,
      0.12739490327381,
      0.0765438988095238,
      0.0659412202380952,
      0.117606026785714,
      0.0993768601190476,
      0.109444754464286,
      0.104678199404762,
      0.075102306547619,
      0.1689453125,
      0.147205171130952,
      0.120349702380952,
      0.206077938988095,
      0.0718470982142857,
      0.0770321800595238,
      0.108305431547619,
      0.139625186011905,
      0.0759393601190476,
      0.141485305059524,
      0.133951822916667,
      0.0686848958333333,
      0.154901413690476,
      0.10893322172619,
      0.108003162202381,
      0.124488467261905,
      0.0734281994047619,
      0.0831240699404762,
      0.116675967261905,
      0.0829845610119048,
      0.118071056547619,
      0.0861932663690476,
      0.0922619047619048,
      0.176967075892857,
      0.132882254464286,
      0.143880208333333,
      0.199428013392857,
      0.111676897321429,
      0.10160900297619,
      0.109654017857143,
      0.0692661830357143,
      0.0976097470238095,
      0.167898995535714,
      0.103004092261905,
      0.107328869047619,
      0.114722842261905,
      0.126883370535714,
      0.104701450892857,
      0.188639322916667,
      0.177850632440476,
      0.14555431547619,
      0.168178013392857,
      0.100027901785714,
      0.169596354166667,
      0.143182663690476,
      0.098725818452381,
      0.137579055059524,
      0.161946614583333,
      0.127650669642857,
      0.209123883928571,
      0.222912016369048,
      0.165248325892857,
      0.171944754464286,
      0.0961681547619048,
      0.102167038690476,
      0.167596726190476,
      0.106329055059524,
      0.107933407738095,
      0.109305245535714,
      0.115652901785714,
      0.126232328869048,
      0.187476748511905,
      0.179338727678571,
      0.142299107142857,
      0.161225818452381,
      0.10209728422619,
      0.180315290178571,
      0.143484933035714,
      0.0900297619047619,
      0.139322916666667,
      0.173153831845238,
      0.127720424107143,
      0.224237351190476,
      0.22123790922619,
      0.162806919642857,
      0.167875744047619,
      0.0972144717261905,
      0.14653087797619,
      0.132021949404762,
      0.0670572916666667,
      0.107003348214286,
      0.119396391369048,
      0.23100353422619,
      0.153157552083333,
      0.0610584077380952,
      0.0965169270833333,
      0.0944010416666667,
      0.101888020833333,
      0.0710332961309524,
      0.142066592261905,
      0.0954241071428571,
      0.106189546130952,
      0.134881882440476,
      0.132533482142857,
      0.118582589285714,
      0.123930431547619,
      0.0668712797619048,
      0.265299479166667,
      0.100027901785714,
      0.0797758556547619,
      0.16455078125,
      0.118233816964286,
      0.0690569196428571,
      0.113978794642857,
      0.129534040178571,
      0.235049293154762,
      0.137555803571429,
      0.0554315476190476,
      0.0954473586309524,
      0.0927501860119048,
      0.103934151785714,
      0.0719401041666667,
      0.153785342261905,
      0.093656994047619,
      0.10791015625,
      0.142275855654762,
      0.114188058035714,
      0.120233444940476,
      0.109514508928571,
      0.0652669270833333,
      0.281622023809524,
      0.0979352678571429,
      0.063383556547619,
      0.0998186383928571,
      0.0886579241071429,
      0.0956798735119048,
      0.152994791666667,
      0.167619977678571,
      0.083589099702381,
      0.114048549107143,
      0.07421875,
      0.0675455729166667,
      0.114606584821429,
      0.146275111607143,
      0.0900065104166667,
      0.11474609375,
      0.0621512276785714,
      0.165434337797619,
      0.194498697916667,
      0.090239025297619,
      0.11279296875,
      0.107445126488095,
      0.0529203869047619,
      0.0976795014880952,
      0.15913318452381,
      0.0517345610119048,
      0.102678571428571,
      0.103841145833333,
      0.0893322172619048,
      0.146461123511905,
      0.16157459077381,
      0.0821010044642857,
      0.115350632440476,
      0.0811011904761905,
      0.0651506696428571,
      0.148832775297619,
      0.113699776785714,
      0.0892159598214286,
      0.110630580357143,
      0.063871837797619,
      0.183430989583333,
      0.181268601190476,
      0.109072730654762,
      0.122628348214286,
      0.121396019345238,
      0.0769624255952381,
      0.128976004464286,
      0.129627046130952,
      0.0874488467261905,
      0.142345610119048,
      0.136555989583333,
      0.0791015625,
      0.130022321428571,
      0.113885788690476,
      0.120512462797619,
      0.185849144345238,
      0.186151413690476,
      0.110119047619048,
      0.171084449404762,
      0.108561197916667,
      0.135556175595238,
      0.170735677083333,
      0.121651785714286,
      0.127604166666667,
      0.148553757440476,
      0.146368117559524,
      0.156645275297619,
      0.199497767857143,
      0.188337053571429,
      0.168387276785714,
      0.126302083333333,
      0.0848214285714286,
      0.152739025297619,
      0.123209635416667,
      0.0841471354166667,
      0.125209263392857,
      0.112606956845238,
      0.121233258928571,
      0.186430431547619,
      0.183268229166667,
      0.111583891369048,
      0.17378162202381,
      0.107840401785714,
      0.147763206845238,
      0.169084821428571,
      0.115908668154762,
      0.121326264880952,
      0.160900297619048,
      0.161481584821429,
      0.158923921130952,
      0.228352864583333,
      0.198311941964286,
      0.166620163690476,
      0.122209821428571,
      0.0277622767857143,
      0.0277622767857143,
      0.0385277157738095,
      0.0506649925595238,
      0.0748232886904762,
      0.0411551339285714,
      0.0540597098214286,
      0.178943452380952,
      0.0978655133928571,
      0.0534319196428571,
      0.0444568452380952,
      0.0563848586309524,
      0.0590587797619048,
      0.0804036458333333,
      0.0661969866071429,
      0.055082775297619,
      0.0995861235119048,
      0.0772181919642857,
      0.0741954985119048,
      0.0956798735119048,
      0.22123790922619,
      0.098725818452381,
      0.0876348586309524,
      0.100446428571429,
      0.124906994047619,
      0.083100818452381,
      0.088285900297619,
      0.119442894345238,
      0.0933082217261905,
      0.119210379464286,
      0.0930524553571429,
      0.0820545014880952,
      0.0890764508928571,
      0.0988188244047619,
      0.0852167038690476,
      0.163341703869048,
      0.0947265625,
      0.0894717261904762,
      0.1572265625,
      0.135556175595238,
      0.11869884672619,
      0.158621651785714,
      0.0805896577380952,
      0.0698707217261905,
      0.102353050595238,
      0.0593843005952381,
      0.0990048363095238,
      0.163457961309524,
      0.10639880952381,
      0.1083984375,
      0.105747767857143,
      0.119745163690476,
      0.120047433035714,
      0.19340587797619,
      0.175990513392857,
      0.149646577380952,
      0.161807105654762,
      0.104375930059524,
      0.180873325892857,
      0.14018322172619,
      0.0931454613095238,
      0.144275483630952,
      0.149483816964286,
      0.143368675595238,
      0.218191964285714,
      0.182686941964286,
      0.135137648809524,
      0.16748046875,
      0.0934244791666667,
      0.0971447172619048,
      0.16401599702381,
      0.102818080357143,
      0.108096168154762,
      0.110537574404762,
      0.121117001488095,
      0.135835193452381,
      0.177362351190476,
      0.172874813988095,
      0.148577008928571,
      0.14897228422619,
      0.104631696428571,
      0.185128348214286,
      0.127418154761905,
      0.103190104166667,
      0.138811383928571,
      0.18266369047619,
      0.113025483630952,
      0.224400111607143,
      0.206077938988095,
      0.162481398809524,
      0.161528087797619,
      0.138369605654762,
      0.186430431547619,
      0.189708891369048,
      0.171293712797619,
      0.176013764880952,
      0.164760044642857,
      0.180850074404762,
      0.213774181547619,
      0.193336123511905,
      0.20014880952381,
      0.189383370535714,
      0.191662016369048,
      0.146368117559524,
      0.159063430059524,
      0.14013671875,
      0.152460007440476,
      0.147437686011905,
      0.131463913690476,
      0.137718563988095,
      0.136090959821429,
      0.114862351190476,
      0.120303199404762,
      0.122930617559524,
      0.18608165922619,
      0.201497395833333,
      0.130254836309524,
      0.0671968005952381,
      0.0706380208333333,
      0,
      0
    ],
    "spectral_centroid_curve": [
      0.000281879508606068,
      0.0431624103848492,
      0.0615688319884383,
      0.0580185795642884,
      0.0603453232188083,
      0.0547342646253367,
      0.0589364936003243,
      0.0567687239699805,
      0.053320864598341,
      0.056978190481296,
      0.0501016673200612,
      0.0796613167252882,
      0.0699351960298149,
      0.0631112671314319,
      0.0436635195495798,
      0.042300802685092,
      0.0679187795439406,
      0.0565243281839251,
      0.0451390140572264,
      0.0647066859907017,
      0.0492602360760505,
      0.0394754951710773,
      0.0561451580883696,
      0.11801578106891,
      0.0783601286794308,
      0.0978125266293538,
      0.0625362347603395,
      0.0697166728142401,
      0.0952013140320691,
      0.0583565139311282,
      0.0855965308683907,
      0.0801411082660404,
      0.051618358048066,
      0.0396277151779824,
      0.0725759086382323,
      0.0558180985483238,
      0.0806587176989818,
      0.101774129354177,
      0.0549867694666947,
      0.0611533829684563,
      0.132826024198511,
      0.0526792542752683,
      0.0873033163442697,
      0.0725727203161501,
      0.0708743957805807,
      0.0648839746072203,
      0.0547641363625916,
      0.0615894131164528,
      0.0901969502886401,
      0.062510776702068,
      0.0766993653166366,
      0.0915622099639548,
      0.0567578336435277,
      0.0907319989858855,
      0.0837448818232907,
      0.0523419653094817,
      0.0352810952434052,
      0.0791694422182589,
      0.0469960724517124,
      0.0809061989690705,
      0.0998640363312527,
      0.0487967459632467,
      0.0814659266306864,
      0.120563172067241,
      0.0515767379148603,
      0.0971661547855898,
      0.0594391851083397,
      0.0680234875683564,
      0.0658595169533692,
      0.115023429469411,
      0.0467740862480943,
      0.0983134908951726,
      0.108220307965999,
      0.0435995538201878,
      0.118362908664914,
      0.0821742327662151,
      0.0743355231931321,
      0.0946614780555241,
      0.0418057979366553,
      0.0404894499771173,
      0.0847338940148324,
      0.0702597483183151,
      0.0744136777739107,
      0.079746773642828,
      0.0482972075255596,
      0.128478679121917,
      0.102710018958469,
      0.0922362454934639,
      0.168312326126769,
      0.0393882930553172,
      0.0481470147747932,
      0.0813651882207058,
      0.104384235517855,
      0.0494977521048763,
      0.106038341664478,
      0.0980313804972526,
      0.04556182778475,
      0.116864994449355,
      0.0789792542807453,
      0.0730339438717626,
      0.0934818179767171,
      0.0414624691502397,
      0.0522935720537315,
      0.0877558599765689,
      0.0566376988848,
      0.0888238464436907,
      0.0626778808906522,
      0.0619254301638476,
      0.128234661425813,
      0.0945699496208313,
      0.109347374656802,
      0.158004235153241,
      0.0792596109945316,
      0.0730667015679215,
      0.082095742611062,
      0.0392241598625022,
      0.0693474142232903,
      0.125232885380619,
      0.0581798497404387,
      0.0652439372183083,
      0.0712097654478743,
      0.102599308442744,
      0.0688966266925376,
      0.145899816681652,
      0.142432182204926,
      0.110209334651024,
      0.120546043026164,
      0.0700414689880163,
      0.130022811576875,
      0.102121207679571,
      0.0562824479277607,
      0.0866915161342809,
      0.13307722244364,
      0.11820415713385,
      0.170273444296305,
      0.184321044482243,
      0.123492139397257,
      0.130078817364023,
      0.0639726440965365,
      0.0711534229030368,
      0.119930805109777,
      0.0605887391711452,
      0.0710622028852222,
      0.0665727630645369,
      0.0995834375533994,
      0.0898069007764502,
      0.142641723900528,
      0.140489581049343,
      0.110582699929216,
      0.117404748450958,
      0.0691882226638726,
      0.137401547146312,
      0.0932392429305579,
      0.0499937365334788,
      0.0900727299764268,
      0.15458145420399,
      0.110904950266076,
      0.173086873217958,
      0.183124238546972,
      0.119276421712093,
      0.1276825852037,
      0.061358931272916,
      0.122823971605375,
      0.0982090245140291,
      0.042753110260889,
      0.0812586101526318,
      0.0761826296251608,
      0.212534625273964,
      0.113360139757423,
      0.0341221811204751,
      0.059546843335485,
      0.0735659119568124,
      0.0681228357883809,
      0.0486104841271152,
      0.106327853769026,
      0.0687951459440393,
      0.0736206301889467,
      0.0981822459862599,
      0.0950864671069214,
      0.0828462043981332,
      0.0846980120584939,
      0.0401491327191782,
      0.211383620428435,
      0.0723872314129324,
      0.0482562882562279,
      0.135478188177535,
      0.0846593863555748,
      0.0458662758112152,
      0.086015393535291,
      0.0902994168962539,
      0.210246773153617,
      0.0999930145281282,
      0.0307945489120521,
      0.0581727701356913,
      0.0726464684693405,
      0.0682489817003066,
      0.0482725698020888,
      0.118071300169435,
      0.0608528421638586,
      0.0764106438446208,
      0.10726368487764,
      0.075599843958383,
      0.0829147899154923,
      0.0806883967703439,
      0.0401094261610896,
      0.228770895947563,
      0.0688021560144961,
      0.0411891966225176,
      0.0705373023154362,
      0.0585479938999749,
      0.0767233328813865,
      0.120606133314331,
      0.128168117609288,
      0.0582921762049485,
      0.0777794193235384,
      0.0479215647980859,
      0.0424259492065325,
      0.0801750099559138,
      0.121577618910285,
      0.0643998618526421,
      0.0887104691180681,
      0.0399456305767044,
      0.137401024278594,
      0.159830826718804,
      0.0600282712670038,
      0.0851388646631042,
      0.0791633227419904,
      0.0323241150585781,
      0.0764430351682712,
      0.127214846111627,
      0.0326835058337355,
      0.0721139955855921,
      0.0838059315843642,
      0.0569876204755977,
      0.116388076310208,
      0.124418015543752,
      0.055765427769222,
      0.0775427319565386,
      0.0534816007539967,
      0.0465101806261165,
      0.12184718073756,
      0.0765454142964706,
      0.0625880206010751,
      0.0858234901754348,
      0.0408813629559208,
      0.160214881813526,
      0.144633114243865,
      0.0791166232302586,
      0.0955177301072259,
      0.0866119089784512,
      0.0530835394814294,
      0.0992306360876993,
      0.0988974886907373,
      0.056630559558697,
      0.103459493231803,
      0.0843604559049221,
      0.0418153259943696,
      0.08296082335393,
      0.0833371489095249,
      0.0926113531976687,
      0.14278356368355,
      0.150697938714561,
      0.0748094957467517,
      0.13320523165269,
      0.068632333393105,
      0.0936111004821426,
      0.129957451795534,
      0.0738017709154948,
      0.0780134651077556,
      0.102740574896993,
      0.127330167933893,
      0.120269673540984,
      0.148720158003148,
      0.150740163106276,
      0.127240133628049,
      0.0863298205104725,
      0.0550660485040249,
      0.110345226022903,
      0.0741300231414603,
      0.0467576123003798,
      0.0791005095233498,
      0.0882675788055608,
      0.0889837361650048,
      0.145859716032541,
      0.146927804922102,
      0.074344925233707,
      0.13114555189551,
      0.0731850622546559,
      0.104464201052471,
      0.122521137606618,
      0.0708839541952253,
      0.074674838630424,
      0.113476378846833,
      0.156739502646806,
      0.123994906650619,
      0.184519787879104,
      0.156657568194218,
      0.128479836518938,
      0.0869228307735682,
      0.018051755321407,
      0.0182656571866073,
      0.027410663543143,
      0.0406967976639765,
      0.0444582844438436,
      0.0293273318494384,
      0.035705305880973,
      0.152619928287909,
      0.0684161126558092,
      0.04142125427542,
      0.0297499566562824,
      0.0436851330756797,
      0.035836086792129,
      0.050938751771917,
      0.038760808802993,
      0.0271434392049335,
      0.074073480285925,
      0.0512461969485944,
      0.0473503172192271,
      0.0722818740829852,
      0.204494096082935,
      0.0681241418490308,
      0.0642860996087591,
      0.0772556657764917,
      0.0959532668473321,
      0.0466406546707575,
      0.0593782062494896,
      0.088677281274956,
      0.0531373346085121,
      0.0800332899918834,
      0.0685457411997872,
      0.050349918817677,
      0.0661279966967311,
      0.0695853469491572,
      0.0464611701865442,
      0.126841304882177,
      0.0558972774802678,
      0.0601135384695725,
      0.118204606848829,
      0.0876026509822897,
      0.084784952753739,
      0.111327329755269,
      0.0556063818977009,
      0.0436386303744817,
      0.0729227234169977,
      0.0424665728210538,
      0.0705041109947661,
      0.112577653787745,
      0.0600401907672444,
      0.072927493865908,
      0.0662258459064691,
      0.104219983316742,
      0.0865684152593311,
      0.143820432790662,
      0.138476424812486,
      0.112525248912813,
      0.114718917594915,
      0.0695657778665562,
      0.135961285393353,
      0.0937025735524214,
      0.0502906797531833,
      0.0936309062141309,
      0.122979632494711,
      0.116947749559104,
      0.174655520827294,
      0.146661360642902,
      0.0925450359360323,
      0.126174664566525,
      0.0581940072907159,
      0.0681285994800078,
      0.117097000363669,
      0.0603541941331759,
      0.0703492849119563,
      0.0699865536080618,
      0.103659279185055,
      0.10119936080652,
      0.127566784516539,
      0.138034651704643,
      0.110113083079794,
      0.103175639009073,
      0.0725585928846191,
      0.138939538041689,
      0.0822349237386931,
      0.0578259661843412,
      0.0902715531315257,
      0.172556393722903,
      0.0828492706088635,
      0.180673346548449,
      0.171138756051343,
      0.118476601157173,
      0.123503630817761,
      0.111117749608669,
      0.170035019055784,
      0.17034122072371,
      0.159391475854977,
      0.165888043596167,
      0.153269684759258,
      0.166244773786538,
      0.186762945797889,
      0.177106325703118,
      0.180967418119346,
      0.170690029411712,
      0.177111498120448,
      0.136323491099815,
      0.151769681364352,
      0.127480894473745,
      0.135276228191314,
      0.141132482394322,
      0.120327561403757,
      0.12819702303695,
      0.133282077235837,
      0.110035485838574,
      0.110593929058507,
      0.121153007975839,
      0.168668116062153,
      0.180328456678293,
      0.0950079743238779,
      0.0217955007670715,
      0.0198584612588075,
      0.0001953125,
      0.00110426609036372
    ],
    "spectral_bandwidth_curve": [
      0.00139925213660784,
      0.0404323503122059,
      0.0559233073444461,
      0.0538707163483656,
      0.0575206687942736,
      0.0526267896998917,
      0.0564799810135528,
      0.0562643589973035,
      0.0515801325678097,
      0.0571536164715244,
      0.0495756554879494,
      0.0583786687885075,
      0.0664549292097733,
      0.0666095383439062,
      0.0466280089602939,
      0.0500110915368349,
      0.0715755394765566,
      0.0540598589127252,
      0.0478328019889264,
      0.0622026997941207,
      0.0559778006116296,
      0.0426373135112756,
      0.0695406414201877,
      0.12683540893407,
      0.101395234179251,
      0.125797434051046,
      0.0940353749506415,
      0.0879685305005975,
      0.121591366193403,
      0.123309148988428,
      0.109150420492324,
      0.117750053357243,
      0.0877348752374846,
      0.0829869809701678,
      0.101351434478642,
      0.0961878791649776,
      0.091386531421757,
      0.104888864340477,
      0.0761420261870193,
      0.0819489525819299,
      0.137332560619155,
      0.0769866205252194,
      0.104188948687152,
      0.0920410254199587,
      0.115598019146028,
      0.0868760011976043,
      0.0954856828080931,
      0.0843100798376812,
      0.121815465399901,
      0.0893303781350702,
      0.0893085803314483,
      0.118006630419428,
      0.119940360726089,
      0.120705279424295,
      0.11644926502699,
      0.0920260280796653,
      0.0770194757767962,
      0.1110861478021,
      0.0809180253848694,
      0.093673054736548,
      0.101542660471423,
      0.0695405119419922,
      0.0978208993189789,
      0.134991432096134,
      0.0712583217562716,
      0.113433250253704,
      0.0900800184547994,
      0.106543621881132,
      0.0909419705607509,
      0.171942792097909,
      0.0822231535543694,
      0.130632720651953,
      0.161902056504049,
      0.0677318064899232,
      0.135670572795754,
      0.134380767392422,
      0.118132742701123,
      0.137694094111279,
      0.0781894694493285,
      0.0719513915004883,
      0.109903483202692,
      0.0941426201709147,
      0.100029168054666,
      0.087876923793585,
      0.06904811172164,
      0.146737812184164,
      0.131584088111235,
      0.114706882458336,
      0.174866328060483,
      0.0687490916260007,
      0.0731606507961081,
      0.0977132867446871,
      0.157234327796279,
      0.0813149752238093,
      0.140952739944985,
      0.152399560767697,
      0.072030637617036,
      0.137725264669072,
      0.124030467122679,
      0.117361279965286,
      0.137384817991392,
      0.0746897389634021,
      0.086755229711072,
      0.112779278015095,
      0.0819374731423952,
      0.112185825059125,
      0.0728169925778209,
      0.0834598373327646,
      0.143370562237221,
      0.128065809329485,
      0.132239581844379,
      0.175301913729284,
      0.103985586926169,
      0.0915341480938872,
      0.106000989948557,
      0.0904524703829381,
      0.106220468324108,
      0.147456944820584,
      0.107855492981001,
      0.104747590727565,
      0.123245375820459,
      0.149316805163573,
      0.107428714834938,
      0.164452110454086,
      0.150483293883528,
      0.133909447625705,
      0.149408952040949,
      0.0969299713864002,
      0.140551919318961,
      0.140918933090067,
      0.0973785604984025,
      0.13371864679805,
      0.158445802307547,
      0.122495896523738,
      0.172330493076198,
      0.185156901837294,
      0.140020380526487,
      0.142591459115969,
      0.111205214448656,
      0.110365947874818,
      0.144374317743647,
      0.10667606657189,
      0.105779354332403,
      0.122138095532309,
      0.146797038827181,
      0.122325334755392,
      0.164073256830174,
      0.152794322312435,
      0.132210833601737,
      0.153342760253539,
      0.0926982632840587,
      0.146084760325147,
      0.135940460240776,
      0.0943083182526624,
      0.135491967954155,
      0.174078071609048,
      0.120870472203971,
      0.171119675873216,
      0.179396501109308,
      0.139505515012565,
      0.147070624499048,
      0.10300851452757,
      0.170089383428727,
      0.121805400517909,
      0.0615848489576346,
      0.0870540260080261,
      0.140482666875257,
      0.244782327946657,
      0.160817296109512,
      0.0696883443856635,
      0.0884579029950648,
      0.0846449666908944,
      0.10432281231886,
      0.0658029420189546,
      0.118486266779322,
      0.0844216677549073,
      0.0963706789892395,
      0.120990376476631,
      0.129074887545321,
      0.119851581735351,
      0.124358594808301,
      0.0635646764786804,
      0.244864269857878,
      0.100013409718932,
      0.0821947758899928,
      0.182043082210233,
      0.111789547497559,
      0.062518818429425,
      0.0959697283838119,
      0.158371186198538,
      0.237054035842758,
      0.14376226651543,
      0.0642179749407234,
      0.0878424114980505,
      0.083266979055677,
      0.104452347011414,
      0.065525483345151,
      0.125542890706227,
      0.0836975736085809,
      0.101124045330342,
      0.12499775476895,
      0.115283518301486,
      0.119359155412646,
      0.11797024158944,
      0.061934719935229,
      0.25861501196441,
      0.0972432096307557,
      0.0654972841596882,
      0.102949148728452,
      0.0906338993883725,
      0.116281302949414,
      0.119308588486248,
      0.186981797780609,
      0.07599593594878,
      0.105287505037854,
      0.0790235848194899,
      0.0618446134252036,
      0.105807871550427,
      0.146863708483196,
      0.0915871430731818,
      0.103944406340058,
      0.0655857608586746,
      0.153101611890655,
      0.166989068655632,
      0.0877763307018457,
      0.10415010543303,
      0.0951115524274088,
      0.0569974878282501,
      0.0895820069577165,
      0.154505801609158,
      0.0511619945468703,
      0.103551071018589,
      0.119422373203436,
      0.087233844132694,
      0.121504641903711,
      0.186336078160123,
      0.0702073004992697,
      0.105450890238618,
      0.0858197210216377,
      0.0645070056423413,
      0.133706199493962,
      0.114519111385185,
      0.0933188156573655,
      0.100559364399892,
      0.066419176999785,
      0.165644506987009,
      0.160177430369514,
      0.106162669890203,
      0.108355709881592,
      0.114208801451683,
      0.0775340490664591,
      0.109666337500777,
      0.152628323368106,
      0.0957711015896472,
      0.131506589268402,
      0.129457557237781,
      0.0856143749940032,
      0.128135107185878,
      0.136852924105473,
      0.128991981060756,
      0.165926975507231,
      0.160768706685161,
      0.112525438420948,
      0.146499896736852,
      0.106434543967599,
      0.121374606046404,
      0.145367633276448,
      0.116677358135582,
      0.117902720119014,
      0.138578463378594,
      0.155091581300224,
      0.141239166385226,
      0.157019884583862,
      0.15758555442253,
      0.136527602736493,
      0.140564457480701,
      0.0844007575237211,
      0.136862079698998,
      0.123194537812334,
      0.0904785631290173,
      0.124085479221673,
      0.145288072493074,
      0.127215874579962,
      0.163453694733975,
      0.156003263226077,
      0.113229633666655,
      0.146670386039076,
      0.107977800060494,
      0.128551437594666,
      0.143611312852095,
      0.111159034556056,
      0.118031318789681,
      0.148168731791405,
      0.159526397706962,
      0.133975929631673,
      0.185220299809051,
      0.159191143000246,
      0.140595110004843,
      0.132652758043027,
      0.0358589572053303,
      0.0313908948436999,
      0.04435030916921,
      0.0575461601002207,
      0.0850191551056588,
      0.0474542575628158,
      0.0509288644387021,
      0.208288344184677,
      0.0969607594032385,
      0.0717535225326763,
      0.0381390719825265,
      0.0677532545099649,
      0.0696875619164678,
      0.0828986745834331,
      0.0767450012710458,
      0.052227714874885,
      0.0987732922382302,
      0.0657176447566005,
      0.0759249813764509,
      0.10678499599801,
      0.207856116958695,
      0.115342700746969,
      0.0789765359745659,
      0.0894741880712754,
      0.114768452051673,
      0.0958295324169423,
      0.0859939808321923,
      0.117788939066576,
      0.116591276988499,
      0.118560950373301,
      0.100760736957253,
      0.0790463763310721,
      0.0896310737222842,
      0.113048321230724,
      0.100369362996622,
      0.159659737502419,
      0.102792166026309,
      0.0896036485321643,
      0.129341361200107,
      0.152854493406674,
      0.105640357659414,
      0.147013687656887,
      0.0853883608534592,
      0.0680970207798057,
      0.0912186335089973,
      0.0846389815487928,
      0.109538484382207,
      0.140328434036291,
      0.106106334424056,
      0.107937898715154,
      0.121228992501576,
      0.148765536966622,
      0.119942540736606,
      0.164183322293797,
      0.148984539883402,
      0.131787325697534,
      0.152947236083366,
      0.0932477470314335,
      0.143671827871005,
      0.135567628889699,
      0.0935160914069458,
      0.139326723015228,
      0.154854114990818,
      0.139499916988456,
      0.171657315812107,
      0.162582323473728,
      0.118527743942512,
      0.145303426760237,
      0.100083876800599,
      0.110100460865881,
      0.145621529243872,
      0.104233748169366,
      0.108026487163697,
      0.12311719310249,
      0.143193572615366,
      0.130975797766114,
      0.157229729535445,
      0.149853461960866,
      0.129454706111557,
      0.14676275186765,
      0.0927210743214859,
      0.147350820988963,
      0.127983061796241,
      0.100623517509071,
      0.134433684413853,
      0.186517548344483,
      0.108839819790794,
      0.172489540942729,
      0.169296392147719,
      0.139593164144921,
      0.146816364982613,
      0.111308920126706,
      0.0797541707775829,
      0.0846374899031711,
      0.0713714952412196,
      0.0807913857490447,
      0.0711615909037199,
      0.0761228354659926,
      0.0912119806066475,
      0.0808704813702926,
      0.0835353389615192,
      0.0903093968822062,
      0.0746868799997254,
      0.0867041570393967,
      0.0993576537294217,
      0.0870870753862063,
      0.0926232260841605,
      0.088931004333675,
      0.0776319242018102,
      0.0764473907874472,
      0.0838039152953398,
      0.0711618315557394,
      0.064489813711151,
      0.0783289475788864,
      0.0835146742203148,
      0.119574663797493,
      0.164835434811054,
      0.0953008569054117,
      0.0859656732793025,
      0.000390625,
      0.0109812099343824
    ],
    "spectral_rolloff_curve": [
      0.00102306547619048,
      0.0660807291666667,
      0.099516369047619,
      0.0818452380952381,
      0.100167410714286,
      0.087797619047619,
      0.102911086309524,
      0.10160900297619,
      0.0821707589285714,
      0.0972842261904762,
      0.0776134672619048,
      0.119233630952381,
      0.15229724702381,
      0.134068080357143,
      0.0695684523809524,
      0.0862165178571429,
      0.145321800595238,
      0.103050595238095,
      0.0791480654761905,
      0.131928943452381,
      0.0987723214285714,
      0.0604073660714286,
      0.115048363095238,
      0.232189360119048,
      0.16703869047619,
      0.196428571428571,
      0.118071056547619,
      0.1279296875,
      0.176664806547619,
      0.100678943452381,
      0.167131696428571,
      0.139555431547619,
      0.102446056547619,
      0.0607328869047619,
      0.13774181547619,
      0.124813988095238,
      0.133556547619048,
      0.170340401785714,
      0.106538318452381,
      0.0877511160714286,
      0.242001488095238,
      0.0857979910714286,
      0.136904761904762,
      0.126209077380952,
      0.145647321428571,
      0.101422991071429,
      0.0911923363095238,
      0.117280505952381,
      0.1806640625,
      0.109840029761905,
      0.134021577380952,
      0.170572916666667,
      0.103655133928571,
      0.185546875,
      0.159923735119048,
      0.106352306547619,
      0.0435267857142857,
      0.160342261904762,
      0.0979817708333333,
      0.129696800595238,
      0.175316220238095,
      0.095703125,
      0.122628348214286,
      0.226748511904762,
      0.0796130952380952,
      0.150995163690476,
      0.107049851190476,
      0.149135044642857,
      0.09375,
      0.280040922619048,
      0.0794735863095238,
      0.191266741071429,
      0.25190662202381,
      0.0691499255952381,
      0.198846726190476,
      0.194614955357143,
      0.1435546875,
      0.209588913690476,
      0.0677548363095238,
      0.0664527529761905,
      0.159830729166667,
      0.133975074404762,
      0.117327008928571,
      0.134579613095238,
      0.0922154017857143,
      0.245256696428571,
      0.220331101190476,
      0.189313616071429,
      0.339611235119048,
      0.0535714285714286,
      0.0908203125,
      0.139090401785714,
      0.240048363095238,
      0.0825892857142857,
      0.203357514880952,
      0.230933779761905,
      0.0679408482142857,
      0.199544270833333,
      0.183221726190476,
      0.135509672619048,
      0.210844494047619,
      0.0633370535714286,
      0.0921223958333333,
      0.170665922619048,
      0.106817336309524,
      0.147646949404762,
      0.0992373511904762,
      0.130394345238095,
      0.237025669642857,
      0.207914806547619,
      0.210379464285714,
      0.317103794642857,
      0.129092261904762,
      0.138997395833333,
      0.142113095238095,
      0.046875,
      0.16010974702381,
      0.268833705357143,
      0.119745163690476,
      0.146158854166667,
      0.144391741071429,
      0.23042224702381,
      0.137788318452381,
      0.311430431547619,
      0.295200892857143,
      0.243722098214286,
      0.273204985119048,
      0.140904017857143,
      0.283668154761905,
      0.216471354166667,
      0.118489583333333,
      0.176571800595238,
      0.292782738095238,
      0.241722470238095,
      0.341052827380952,
      0.393275669642857,
      0.268229166666667,
      0.291387648809524,
      0.13969494047619,
      0.163504464285714,
      0.252557663690476,
      0.128022693452381,
      0.148670014880952,
      0.140811011904762,
      0.22367931547619,
      0.177362351190476,
      0.307896205357143,
      0.291620163690476,
      0.237397693452381,
      0.27046130952381,
      0.140997023809524,
      0.291201636904762,
      0.203031994047619,
      0.103701636904762,
      0.191545758928571,
      0.344866071428571,
      0.228655133928571,
      0.353004092261905,
      0.378162202380952,
      0.255766369047619,
      0.283342633928571,
      0.129092261904762,
      0.302873883928571,
      0.160853794642857,
      0.0618489583333333,
      0.128115699404762,
      0.155505952380952,
      0.496279761904762,
      0.246651785714286,
      0.0408296130952381,
      0.114025297619048,
      0.109002976190476,
      0.1455078125,
      0.0816127232142857,
      0.167550223214286,
      0.127511160714286,
      0.109095982142857,
      0.17378162202381,
      0.169782366071429,
      0.145786830357143,
      0.138392857142857,
      0.0597563244047619,
      0.432012648809524,
      0.12895275297619,
      0.0890997023809524,
      0.325799851190476,
      0.138346354166667,
      0.0724981398809524,
      0.137090773809524,
      0.214053199404762,
      0.479306175595238,
      0.211449032738095,
      0.0359002976190476,
      0.114443824404762,
      0.102818080357143,
      0.145647321428571,
      0.0793340773809524,
      0.189778645833333,
      0.105654761904762,
      0.106631324404762,
      0.194103422619048,
      0.125232514880952,
      0.14653087797619,
      0.126069568452381,
      0.0592447916666667,
      0.481724330357143,
      0.122535342261905,
      0.0725446428571429,
      0.121279761904762,
      0.0970052083333333,
      0.186244419642857,
      0.214983258928571,
      0.304780505952381,
      0.11328125,
      0.137137276785714,
      0.0817987351190476,
      0.076264880952381,
      0.153087797619048,
      0.237072172619048,
      0.115466889880952,
      0.149274553571429,
      0.052827380952381,
      0.284598214285714,
      0.305850074404762,
      0.116489955357143,
      0.164620535714286,
      0.126860119047619,
      0.048828125,
      0.129510788690476,
      0.26264880952381,
      0.0522228422619048,
      0.123279389880952,
      0.172014508928571,
      0.11030505952381,
      0.201729910714286,
      0.33207775297619,
      0.103655133928571,
      0.1435546875,
      0.0982142857142857,
      0.0751953125,
      0.240048363095238,
      0.162620907738095,
      0.105143229166667,
      0.147042410714286,
      0.054594494047619,
      0.314825148809524,
      0.299293154761905,
      0.155831473214286,
      0.176199776785714,
      0.158342633928571,
      0.079194568452381,
      0.172014508928571,
      0.218936011904762,
      0.109793526785714,
      0.222191220238095,
      0.187686011904762,
      0.082914806547619,
      0.15727306547619,
      0.206752232142857,
      0.192103794642857,
      0.309384300595238,
      0.31245349702381,
      0.166248139880952,
      0.27739025297619,
      0.155924479166667,
      0.204892113095238,
      0.251302083333333,
      0.164574032738095,
      0.16108630952381,
      0.222284226190476,
      0.272693452380952,
      0.232840401785714,
      0.308268229166667,
      0.304827008928571,
      0.26762462797619,
      0.212704613095238,
      0.116489955357143,
      0.243861607142857,
      0.162388392857143,
      0.0991908482142857,
      0.158017113095238,
      0.206426711309524,
      0.18843005952381,
      0.314964657738095,
      0.303292410714286,
      0.175967261904762,
      0.280087425595238,
      0.159598214285714,
      0.233770461309524,
      0.24711681547619,
      0.162992931547619,
      0.146344866071429,
      0.255487351190476,
      0.33100818452381,
      0.246279761904762,
      0.397832961309524,
      0.328450520833333,
      0.265531994047619,
      0.211123511904762,
      0.0276692708333333,
      0.0352027529761905,
      0.0518043154761905,
      0.0786365327380952,
      0.081147693452381,
      0.0478515625,
      0.0552920386904762,
      0.333472842261905,
      0.116722470238095,
      0.070405505952381,
      0.0493861607142857,
      0.0815197172619048,
      0.064360119047619,
      0.0970517113095238,
      0.0612909226190476,
      0.0420386904761905,
      0.146251860119048,
      0.0863095238095238,
      0.0785435267857143,
      0.160342261904762,
      0.424479166666667,
      0.133696056547619,
      0.102353050595238,
      0.111235119047619,
      0.142438616071429,
      0.0715680803571429,
      0.0981212797619048,
      0.151460193452381,
      0.0914248511904762,
      0.148344494047619,
      0.130998883928571,
      0.0977027529761905,
      0.115652901785714,
      0.162248883928571,
      0.0796595982142857,
      0.262788318452381,
      0.0846819196428571,
      0.115792410714286,
      0.213309151785714,
      0.199823288690476,
      0.128255208333333,
      0.205403645833333,
      0.100864955357143,
      0.0719866071428571,
      0.126069568452381,
      0.0882161458333333,
      0.160900297619048,
      0.233537946428571,
      0.126488095238095,
      0.158993675595238,
      0.140904017857143,
      0.237072172619048,
      0.175316220238095,
      0.317010788690476,
      0.278971354166667,
      0.234700520833333,
      0.26655505952381,
      0.148344494047619,
      0.290178571428571,
      0.198614211309524,
      0.10346912202381,
      0.196196056547619,
      0.282738095238095,
      0.226422991071429,
      0.349237351190476,
      0.3056640625,
      0.192243303571429,
      0.278552827380952,
      0.122674851190476,
      0.153459821428571,
      0.243908110119048,
      0.134765625,
      0.137927827380952,
      0.155459449404762,
      0.225725446428571,
      0.199776785714286,
      0.280040922619048,
      0.290783110119048,
      0.232282366071429,
      0.247814360119048,
      0.148716517857143,
      0.295247395833333,
      0.171502976190476,
      0.125511532738095,
      0.19731212797619,
      0.367885044642857,
      0.170805431547619,
      0.383138020833333,
      0.350864955357143,
      0.253999255952381,
      0.273623511904762,
      0.202241443452381,
      0.226422991071429,
      0.255626860119048,
      0.224981398809524,
      0.237583705357143,
      0.222935267857143,
      0.237955729166667,
      0.255440848214286,
      0.25981212797619,
      0.264508928571429,
      0.257254464285714,
      0.246605282738095,
      0.245582217261905,
      0.25874255952381,
      0.226469494047619,
      0.258649553571429,
      0.221214657738095,
      0.20610119047619,
      0.211821056547619,
      0.199916294642857,
      0.168201264880952,
      0.146670386904762,
      0.176571800595238,
      0.231724330357143,
      0.285853794642857,
      0.179547991071429,
      0.00906808035714286,
      0.00785900297619048,
      0.0009765625,
      0.00146484375
    ],
    "spectral_flatness_curve": [
      0.843513964628415,
      0.239045445014687,
      3.10772865897697e-7,
      3.93659106128462e-7,
      4.3933747621304e-7,
      2.72330986069455e-7,
      5.33569500230634e-7,
      2.66236429163182e-7,
      8.1592396669213e-8,
      2.12856559061225e-7,
      2.42624104053818e-7,
      2.70041143138384e-7,
      9.07901616010552e-7,
      3.69485328006975e-7,
      1.71187081755493e-7,
      3.94024251148511e-8,
      3.28872929145827e-7,
      4.03526567462802e-7,
      1.21956790446741e-7,
      2.87876218322774e-7,
      1.27672419074894e-7,
      1.47741668137394e-7,
      0.00000258027488897668,
      0.000210515169940116,
      0.00025035997966649,
      0.000167562322543759,
      0.00000915096997166286,
      0.00000459900074568422,
      0.0000960853975854336,
      0.00000645230454091217,
      0.0000641154237756849,
      0.000059888001452449,
      0.00000387176860387975,
      0.00000447533465227385,
      0.0001639940926822,
      0.0000229344100228598,
      0.000009411814195643,
      0.000140746686421511,
      0.0000178966665311232,
      0.0000127080994921591,
      0.000337236934092768,
      0.0000161953648144994,
      0.000147949573093987,
      0.0000194844471557673,
      0.0000322957616210524,
      0.000224161427041185,
      0.000016436438136992,
      0.00000348930558079008,
      0.000150933942246411,
      0.00000593681206661459,
      0.00000539946956127093,
      0.000102467181440503,
      0.0000060982594859244,
      0.0000667835706147793,
      0.0000639892025715104,
      0.00000442563239945809,
      0.00000431169814863379,
      0.000184461824073541,
      0.000005701360837548,
      0.0000088557075599378,
      0.000152423537725255,
      0.0000155762288137231,
      0.000108686340941308,
      0.000186313711954627,
      0.00000780207736134422,
      0.000149182002795827,
      0.00000688054906052909,
      0.0000195418788629841,
      0.000219227355088664,
      0.0000787408717014108,
      0.00000871758139678572,
      0.000155889057841472,
      0.0000795870277528797,
      0.00000214052500810973,
      0.000639458257003268,
      0.0000290546678629895,
      0.000029395966625847,
      0.000115521262539093,
      0.00000935401464969071,
      0.00000675298473682796,
      0.000217538623335534,
      0.0000207568277669921,
      0.0000676982608672471,
      0.000104686036205056,
      0.0000158219189344414,
      0.000237357903170983,
      0.0000697908648265269,
      0.000558963513476077,
      0.00091804851140556,
      0.00000295707934129349,
      0.0000320303297002496,
      0.000215497198745253,
      0.000108268718800847,
      0.00000452651919709909,
      0.000248958118939319,
      0.0000415252541260507,
      0.0000024149122365196,
      0.000661574000932247,
      0.0000256145564754563,
      0.0000298263864091198,
      0.000121336060702365,
      0.00000836679655534047,
      0.0000322813408671853,
      0.00019008227311427,
      0.00001285275839291,
      0.000172042944969775,
      0.00000896027336853615,
      0.0000232661075127722,
      0.000236298954020767,
      0.000082320175407154,
      0.000606873501239061,
      0.00088775192808426,
      0.0000221749554615234,
      0.0000249388220655162,
      0.000194412022908709,
      0.00000401104799905597,
      0.0000095772780976811,
      0.000290896671517227,
      0.000045516828765548,
      0.0000474533556309875,
      0.0000418694404200556,
      0.000293100904233889,
      0.0000560581331798472,
      0.000273445735173325,
      0.00133791654146562,
      0.000297376510084317,
      0.000107324421169825,
      0.0000124608156152997,
      0.000371855119659576,
      0.000165959365534749,
      0.0000182761333358189,
      0.000169122836617048,
      0.000236891170692546,
      0.00143162194263811,
      0.000482227414560434,
      0.0015786429920092,
      0.000110791758965654,
      0.000346218199517468,
      0.000016506226790577,
      0.0000092520106867247,
      0.000269152756450736,
      0.0000502402311056134,
      0.0000593336737509444,
      0.0000233237633022363,
      0.000406388630592644,
      0.000300313834450192,
      0.000145926911514916,
      0.00115394125511495,
      0.000322034669827445,
      0.000071386272437354,
      0.0000216948178425365,
      0.000382569560020956,
      0.000165893156461965,
      0.0000183326498298999,
      0.000156619210998462,
      0.000399840979212785,
      0.00160543360446454,
      0.000527429903184854,
      0.00206418408405796,
      0.000110078969158527,
      0.000353927317440594,
      0.0000131104212300896,
      0.0000237825762618764,
      0.000134358151237987,
      0.00000129826979933229,
      0.0000107677547185548,
      0.000021415765286259,
      0.000177189972005337,
      0.00016643289719316,
      0.00000164587090991616,
      0.0000021918216416767,
      0.00008691005562748,
      0.0000209737760611126,
      0.0000031133185929929,
      0.000126195398398577,
      0.0000603505953818135,
      0.00000535148687771125,
      0.000154347274238947,
      0.000223112886047233,
      0.0000379628140790088,
      0.000174031997757931,
      0.00000779724056798643,
      0.000286903086567828,
      0.000157766106375322,
      0.00000510795280676205,
      0.0000607554608442918,
      0.0000822109572639728,
      0.00000104449710532283,
      0.0000160919461543593,
      0.000027595809716238,
      0.000219063885532208,
      0.0000934182892217819,
      0.00000149496197225461,
      0.00000199655310901521,
      0.0000809067222962029,
      0.000016439341256925,
      0.00000294919921047433,
      0.000139882257498087,
      0.0000629991144226586,
      0.0000100220773811607,
      0.000198329343897511,
      0.000103630401951389,
      0.0000681917700586214,
      0.000152934795274157,
      0.00000818540195280047,
      0.000359138258380178,
      0.000119318080405537,
      0.0000034791366049787,
      0.00011485549554223,
      0.00000743837461468846,
      0.000016557659072188,
      0.000246562524562005,
      0.000047282190085731,
      0.00000310309284129064,
      0.000100954689379387,
      0.0000642450223875837,
      0.00000733300993595342,
      0.000117258565151522,
      0.000230715925163454,
      0.0000224377529810598,
      0.000124930591166543,
      7.99364423915219e-7,
      0.000204217879319685,
      0.00052335731273445,
      0.000014198711525715,
      0.0000158553264453074,
      0.000204423660879596,
      0.00000898465268970416,
      0.000260876058515068,
      0.000187799686643278,
      2.91797457129051e-7,
      0.00010496079999694,
      0.0000199546949265354,
      0.00000427762874255247,
      0.000256660528377177,
      0.0000483698226110887,
      0.00000218977659320544,
      0.000100278145392501,
      0.000063422544352278,
      0.00000316633295079463,
      0.000218457908670851,
      0.0000853775674841585,
      0.0000234845407873365,
      0.000105027441313127,
      9.84820996276473e-7,
      0.000381796260295412,
      0.000334712316876424,
      0.000013202890939993,
      0.000126091750410916,
      0.0000603944731690701,
      0.0000154799151087001,
      0.000255978701089646,
      0.0000339326486176359,
      0.00000711781207227098,
      0.00015004088186259,
      0.00011592646175292,
      0.0000122406212525646,
      0.0000767551994695377,
      0.0000320976665386778,
      0.000283346635724295,
      0.000320776666095467,
      0.00139049008529664,
      0.0000249460320574344,
      0.000358433219667904,
      0.0000209880692119344,
      0.0000410597352058828,
      0.000419079434029475,
      0.0000797250956629296,
      0.000122793812150577,
      0.000108882727117723,
      0.000411028504715443,
      0.000661207979104484,
      0.000118808835020453,
      0.00152762321124186,
      0.000400861329810902,
      0.0000258809832626721,
      0.00000383658906254459,
      0.000163647011578785,
      0.000113026720948822,
      0.0000229760002365545,
      0.0000584646798705864,
      0.0000450955709097595,
      0.000250621851105064,
      0.00034556312052053,
      0.00121182873234673,
      0.0000273446989246475,
      0.000338759569848685,
      0.0000221292884857437,
      0.000122126249686226,
      0.000445246081397119,
      0.0000454182504304848,
      0.00011549395640525,
      0.000135572259253032,
      0.00190932797279516,
      0.000467899423063657,
      0.000878361694840699,
      0.00158187221652112,
      0.000440048443074889,
      0.0000240751755684965,
      8.5662486077735e-9,
      1.79211162896368e-9,
      3.38567583846699e-7,
      3.42185922412096e-7,
      0.00000514524552242901,
      5.29683722903777e-7,
      0.00000110320371369019,
      0.0000317714863823192,
      0.000125108267320142,
      5.71904019664941e-7,
      3.28031341625657e-8,
      0.00000299784465551584,
      0.00000191526362693313,
      0.0000272670842040518,
      0.00000171994157726942,
      6.36810393212978e-7,
      0.000016666319909288,
      0.0000111700601807981,
      0.00000839238019727071,
      0.0000175315136718574,
      0.000221046663365108,
      0.000016808775739174,
      0.00000659593813373904,
      0.00000682492020150657,
      0.000097329030040686,
      0.00000364257526034861,
      0.0000121300999090124,
      0.000245797728231005,
      0.00000486027890099441,
      0.0000588235315915513,
      0.000191453488594636,
      0.000113636373239544,
      0.000185305347843317,
      0.0000403135313151112,
      0.0000049378723768496,
      0.00067803760769735,
      0.0000335729038617771,
      0.0000170432972692819,
      0.000420002497167978,
      0.0000372717872055629,
      0.0000333266982530157,
      0.00033561746473159,
      0.000126317306966969,
      0.0000187714077677756,
      0.000296041716299408,
      0.00000492173233253604,
      0.00000989430099977178,
      0.000216633517290882,
      0.0000457389300083803,
      0.0000669746733748932,
      0.0000262507080781524,
      0.000380831131973305,
      0.000255481207413903,
      0.000188819138404938,
      0.00141394586774336,
      0.000318970348997719,
      0.0000737658780971456,
      0.0000208225524371033,
      0.000440349957472837,
      0.000131289421065758,
      0.0000168171789344708,
      0.000171486428540706,
      0.000174041921486556,
      0.000372201381814036,
      0.000495936249713307,
      0.000947206715818219,
      0.0000992366256572704,
      0.000306113710793823,
      0.0000110869979252468,
      0.00000908051544692998,
      0.000272871954511247,
      0.0000440944590383336,
      0.0000602820302163089,
      0.0000262001456694136,
      0.00046244280547472,
      0.000366636311217363,
      0.0000847168380637763,
      0.00142348958492683,
      0.000334110885824147,
      0.0000551799611159146,
      0.00001992160106894,
      0.000449945197189283,
      0.000138045054835429,
      0.0000400898532943556,
      0.000132235157312356,
      0.0010442981918533,
      0.000537230927752041,
      0.000631505650902584,
      0.00176373830605182,
      0.000104160600590483,
      0.00040112970885108,
      0.0000142163862153575,
      0.0000111892022184382,
      0.0000936993942713171,
      0.00000364397064212866,
      0.0000832560571230128,
      0.00000156440502108201,
      0.00000222660760663103,
      0.0000766449843220469,
      0.00000199693751139256,
      0.00000230288618863383,
      0.000103522363295324,
      0.00000123531722366728,
      0.00000237176947252569,
      0.0000923188290584253,
      0.00000124224510009094,
      0.00000153423423761712,
      0.0000969836025147392,
      0.00000114072919976018,
      0.00000142074819575612,
      0.0000719698396339094,
      2.54375060795815e-7,
      0.00000477579000912615,
      0.0000738081870377458,
      0.00000828498913393342,
      0.000142921312142783,
      0.000547723309569462,
      0.0004598955223996,
      0.29854084447681,
      0.834161186217501,
      0.9323653595321
    ],
    "spectral_contrast_curves": [
      20.659069098243,
      40.1540521020093,
      47.9542852897668,
      49.1852494982087,
      42.5380049758268,
      47.6154930848881,
      48.4493704832729,
      44.0078862120442,
      45.5450784402356,
      47.9923610902577,
      45.0652671376173,
      45.3065370314346,
      50.7140483679083,
      46.9573677734933,
      42.0454387089713,
      50.2299657225282,
      44.6671523748205,
      48.8294007085047,
      47.1623955579888,
      41.1289766165949,
      47.3633974567319,
      46.684865398849,
      49.6883660829235,
      38.3591799739502,
      46.7068669398063,
      45.3680899224246,
      47.829462800276,
      48.0367570244946,
      45.0168861623569,
      51.3900717506931,
      44.5348881210263,
      48.8083723302097,
      47.0648693262792,
      43.7687706868683,
      48.3617067292762,
      50.1904914143915,
      41.1667299224057,
      46.7499492188088,
      44.0217084511911,
      47.9336079927416,
      46.4567388509087,
      44.3572079136996,
      42.0664736168962,
      46.510705524726,
      41.7445716711553,
      44.1231202431858,
      48.3068586310221,
      47.5383464699747,
      47.1289595453464,
      48.6659726941643,
      46.5008059104886,
      46.9194689805011,
      49.2265144550793,
      44.640191066378,
      47.4253799282656,
      43.3391236157233,
      47.6303839806439,
      44.2299342218296,
      49.6765277861859,
      44.7862373728935,
      49.047886001089,
      44.8737901517836,
      46.4461511939549,
      46.0610483566652,
      46.1733001576618,
      41.94277808668,
      47.0869211966588,
      46.7801458657652,
      40.9271310156829,
      48.3412149858187,
      49.8689344938228,
      47.3131705345129,
      49.4987565824562,
      46.4454627665648,
      43.8389251672825,
      51.0032269410139,
      47.7972350546833,
      49.6763220660184,
      44.3942498024678,
      48.0146293894122,
      48.2183375196667,
      45.4144000336651,
      43.7497571816617,
      45.821731603265,
      47.9672442276544,
      45.6406130028408,
      43.786791321987,
      45.2397151746656,
      44.2207340234028,
      46.4949359024966,
      44.2366279543525,
      46.481044175245,
      46.2652908941588,
      48.3004641892575,
      47.4468112478365,
      48.5396963522636,
      46.7019012703606,
      44.7523870151373,
      50.9866852238161,
      46.7203029752741,
      50.5707603317037,
      46.4889843810676,
      49.4454371644737,
      44.0729417784801,
      49.4410103816397,
      43.0848949564892,
      43.4355246363676,
      45.0989084760321,
      41.5519741157941,
      44.4627293938683,
      40.4690824503423,
      47.7714367812776,
      45.3712807294236,
      41.9424023464322,
      41.1029739840509,
      47.2285109378153,
      47.9852201487557,
      47.4271887328262,
      44.0339635538559,
      43.7190634980505,
      46.7414940318043,
      49.3786829008685,
      45.5606065600961,
      44.0852579097387,
      46.4338250414625,
      47.0484631914214,
      48.586514252418,
      49.9779507117353,
      46.2204566506041,
      37.9623090342128,
      44.0881548881766,
      39.9181320938993,
      46.0841014861085,
      42.6834084165,
      40.4976663289681,
      41.1200509005492,
      43.832391621797,
      47.0027271661559,
      48.0843524662546,
      50.5443222078913,
      45.5537198367983,
      43.7575750792137,
      46.0321582857326,
      48.855796955754,
      50.4889969082365,
      49.5549785307948,
      47.9215962535586,
      44.7701396050778,
      49.3626051922462,
      49.7877347492114,
      49.091386832,
      43.8704036917518,
      39.8959371005772,
      42.7222982300205,
      40.2504781844127,
      45.5836327395659,
      43.7865907174722,
      41.4645057736318,
      40.4913002717506,
      47.0818662256015,
      45.5379661156445,
      46.0478435734177,
      46.5041736841506,
      46.8320475346574,
      46.7182112096009,
      44.9101627187603,
      51.1785870710037,
      49.5032327596597,
      44.7823945743414,
      48.728719607834,
      48.5362381134745,
      46.3562968878837,
      50.4452350968408,
      46.7308545108146,
      47.3484980748096,
      42.5743439660175,
      43.7830682715076,
      44.9374648509171,
      44.2981659549874,
      39.2182038340405,
      44.1623693787286,
      45.3944366002535,
      44.0358959528382,
      47.3113242403683,
      49.4602255988778,
      52.9854440835358,
      46.7023725884946,
      48.6313659895684,
      46.2325945917947,
      49.4812401017393,
      46.4504124249194,
      48.2679588428984,
      49.5547369293886,
      47.4501302332928,
      46.8861843864908,
      51.3747858050318,
      46.5707514432422,
      44.7569433462507,
      45.4561608759354,
      41.9272465278451,
      41.1890397206196,
      47.3951913660949,
      45.3869918058352,
      47.5955682495209,
      43.3798977621218,
      43.7298113786286,
      47.047552312336,
      49.1254081548857,
      47.8433729147581,
      46.3956825391825,
      47.907884839332,
      44.1308960000482,
      47.6246524030441,
      47.6292384440127,
      48.0022651932581,
      46.5107372126586,
      48.3775628502568,
      46.7323032773667,
      46.3610655850644,
      46.9097107634043,
      42.1738911627058,
      46.8948728615898,
      46.0671557606252,
      41.9110292339537,
      45.2389421121443,
      46.2740521790696,
      47.4511820874497,
      45.1117704362954,
      42.9045706599895,
      49.0377968520179,
      48.026887497798,
      51.5435685159855,
      45.0253092352901,
      49.9601242269781,
      42.8648041240103,
      51.3396526564172,
      43.2553529929782,
      50.5296668127665,
      49.4463899934507,
      46.8123650981944,
      49.1753996145827,
      48.515803155051,
      42.6492667020338,
      45.2435707507867,
      45.0029123593081,
      44.7153820738676,
      40.1127473366051,
      44.8907556461431,
      40.7914011663,
      43.7135914384043,
      40.3665804738282,
      45.0762502182052,
      48.2671937011073,
      48.0572324640854,
      43.9432256682143,
      44.6196792365176,
      50.0924951069765,
      40.9853661689459,
      46.3126118633728,
      48.2045713967027,
      49.0450926520885,
      47.214379232817,
      49.7789515742061,
      46.229662313535,
      50.9830685906266,
      44.3779291360552,
      42.4171564343441,
      42.1904367467558,
      41.9672550087522,
      41.4352811316849,
      44.7462914333869,
      39.6807965500538,
      47.2284194185878,
      45.8289232069562,
      42.8576380707652,
      46.090860779608,
      46.3414412586767,
      45.5435739494585,
      40.5711830647209,
      44.1805659502251,
      44.5915224466072,
      49.3634189143285,
      47.3230871296846,
      51.406801574449,
      43.6164580464561,
      44.7855997147553,
      47.2694169571776,
      46.2048566015491,
      44.9001819347699,
      39.0064774650048,
      40.348946091112,
      40.5460612464214,
      39.7722202791206,
      41.6292357109671,
      46.092173524189,
      46.6531400884229,
      42.607228838286,
      45.181747158708,
      46.4497798172124,
      54.2016858877122,
      56.7220567641251,
      52.060108426471,
      47.8055367332202,
      49.1046971866309,
      51.9643808778247,
      46.6446723284773,
      48.9624984693551,
      44.8235793319108,
      51.9072238954239,
      49.3501039991567,
      46.8325559559496,
      43.7367356462392,
      45.7790651618914,
      45.3998018803857,
      49.1528416568366,
      45.4541617601571,
      43.5575162457064,
      44.5846292209668,
      43.2888060753603,
      47.1556381023489,
      45.3771351757051,
      48.8590346404597,
      47.6057981003473,
      44.624855151234,
      46.2552477375957,
      47.1345498277414,
      50.0336425053169,
      46.7725855752614,
      48.7851451531761,
      45.5869433335721,
      48.4695806067712,
      46.1050234093326,
      42.4046558001216,
      48.1751247547603,
      42.0633228665514,
      41.6303501634556,
      43.1928528375022,
      43.6989238352596,
      44.7427027607134,
      40.4817453332199,
      45.4753550686928,
      42.770283957686,
      44.8134350471163,
      44.3345488360482,
      50.1000211791454,
      51.4358113581471,
      46.5827431154135,
      40.77948485816,
      44.561747904999,
      48.7121121944448,
      51.1939080482685,
      50.909729720058,
      47.1627887925098,
      44.1563598225781,
      44.311295594582,
      51.8285155186098,
      47.5619250573545,
      47.7824640836581,
      43.8367203616068,
      43.7365500913768,
      39.8541935067572,
      46.6781569886668,
      44.9329963049107,
      45.6850167177113,
      44.0380397816116,
      45.2300319100887,
      45.3856795577232,
      50.4116488422944,
      52.5894311553644,
      43.1943902103449,
      46.977055846145,
      43.307639484562,
      48.3197583854201,
      48.6450776590159,
      47.4232349170871,
      46.1130070466576,
      45.1124846034584,
      45.6810564031849,
      48.7638592392586,
      50.0313057807002,
      39.0211842292634,
      41.9725809473342,
      42.2684291770728,
      44.1600753726897,
      46.0740279715097,
      44.8549109096482,
      44.0124458414948,
      42.2290721854075,
      41.0065379177395,
      44.5009570258702,
      45.0371227906362,
      31.1588526707451,
      32.2770473589323,
      34.1400433677238,
      31.3770446503111,
      30.9503836562676,
      35.711573631705,
      32.0951190608596,
      28.3467858094619,
      35.595855699015,
      31.3909450353984,
      32.4292115489321,
      34.6126752600612,
      32.0408283962096,
      32.0524912567692,
      35.5213222499312,
      28.731498497122,
      35.448602188513,
      29.1335661852381,
      31.4432557251516,
      34.2849475824751,
      31.5020129675522,
      34.1836592124987,
      28.7629521821271,
      28.9923826438011,
      28.9600530996656,
      29.3470667758561,
      22.6184587752788,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      30.7817420069902,
      35.7811613720492,
      35.2761848546838,
      35.0205717846387,
      39.9972729531022,
      37.8751100822342,
      35.6775551786892,
      36.2363428964881,
      33.7502660776254,
      35.5313578792713,
      26.1066596136711,
      23.2948297490857,
      28.4841393899089,
      32.6274497555983,
      31.1615295726963,
      29.8962584151355,
      29.2446877805783,
      30.8164815725061,
      28.9087615436722,
      32.2066279176169,
      31.6326731509249,
      28.8274253499314,
      31.5539893412473,
      33.4554883380938,
      29.4066565544914,
      29.2179187065915,
      33.655987587646,
      36.7955795298901,
      31.4613579989953,
      34.0397382857273,
      33.875677646663,
      30.5223397173712,
      33.32828955014,
      29.0787103970514,
      26.0748193065007,
      34.6858020373116,
      28.7740279679974,
      30.4673310046763,
      40.0638351019917,
      26.8481874150282,
      33.5654394984147,
      36.7050873725807,
      34.8660814400622,
      33.5643922310287,
      33.3297822926569,
      23.3552077692647,
      31.8374388399926,
      29.2932049496868,
      31.8053720652947,
      29.0771324214238,
      38.4343822128637,
      29.0872164559247,
      32.7956300679173,
      29.7503267155081,
      31.6634830090221,
      34.0421268137374,
      27.1087451355921,
      28.771035401202,
      39.4292981147952,
      28.0184801237035,
      32.6167483356856,
      33.6716661344398,
      27.0760236699402,
      33.7556244878095,
      36.9970627376403,
      33.1952665275062,
      30.1884008048509,
      30.6341434522859,
      29.0658284750918,
      38.7150212301099,
      32.5452199063473,
      29.1164238872712,
      36.229535367368,
      34.7188946439697,
      28.1522556131811,
      31.4230165045731,
      29.4823513044714,
      26.4017433915482,
      38.289728286891,
      30.3102672651754,
      29.828613646313,
      37.6440348092383,
      31.1336988155709,
      34.9484079711077,
      32.7941938852053,
      35.4966117501017,
      28.6073284573235,
      31.4550116009817,
      34.2522651747501,
      33.0690519648257,
      33.4201967695489,
      32.7773956339634,
      37.7963732725283,
      32.9831737280652,
      29.8043587832025,
      39.4580750952348,
      33.2832347808839,
      24.6157302408065,
      31.6597284876231,
      27.6196883391918,
      28.4790775792044,
      37.3416389046048,
      31.3567875309712,
      29.7428048857659,
      37.8973720756728,
      30.4174107993493,
      33.0602882393117,
      31.5027984799793,
      32.2328275480307,
      28.554600415012,
      34.7684851601613,
      38.622875505169,
      33.7585327360733,
      33.3423821577188,
      31.832738877745,
      27.8923848287023,
      26.2003682911104,
      23.9444479022069,
      24.8922630765384,
      23.3756586219304,
      27.1273159439043,
      29.2528780856446,
      20.9498048294953,
      25.0530159911642,
      29.6185259969585,
      26.0887585418253,
      25.5572119443035,
      26.0400835886572,
      23.2910716888411,
      23.8365181599552,
      24.9759201061962,
      25.5856380837098,
      28.8802694325285,
      24.9570442328911,
      23.8544865958187,
      30.27798065093,
      27.3783844920827,
      28.2084823249189,
      28.7156006531199,
      25.1671622776639,
      26.4536883348029,
      24.3003012688154,
      25.2458994353212,
      25.3825574471561,
      28.5832567828998,
      23.1537565678991,
      26.2528093686472,
      28.667675318066,
      23.8040202072933,
      25.3066005849774,
      27.9218768139793,
      24.8053896872336,
      22.3503743504341,
      24.9827665370411,
      25.132740638947,
      28.0979249155371,
      23.7001796309512,
      25.6979560668683,
      30.0464523981391,
      27.106034597113,
      28.9105177608527,
      35.4211436097125,
      32.2056766380925,
      37.3074519122235,
      37.8119072396763,
      28.6032547699142,
      23.465891776788,
      34.1999148559585,
      36.5223160179772,
      34.2961662321551,
      37.9441264063948,
      31.7526577176382,
      39.8244156818056,
      41.0658933626408,
      24.2646320611756,
      33.2579580014444,
      38.5780218739489,
      28.4619999091759,
      34.0505140942337,
      29.7266928786335,
      35.6232096304726,
      27.3218547744991,
      37.6618544614982,
      34.2218791188734,
      32.3904685266391,
      36.1193705870702,
      35.3745816677027,
      39.759928554996,
      29.1571736301773,
      26.1283798156627,
      36.3124849565708,
      36.9885870191074,
      35.0925388716845,
      36.5312835974591,
      28.5683016435355,
      41.7458899247812,
      39.556988339385,
      25.1849776439436,
      32.8202433705558,
      34.7777656177574,
      29.8531155064574,
      32.2759974141208,
      33.6477261715742,
      34.6856807253066,
      27.910356890804,
      37.511191207547,
      33.9805288956554,
      35.5767840142622,
      33.5708975531108,
      32.2356581389779,
      32.3043369291682,
      33.2505710900077,
      35.1667973456986,
      38.3819857946392,
      28.5488909872127,
      28.6686928344598,
      31.0534595289086,
      26.6469853289661,
      32.239581119666,
      34.8281452585307,
      32.3671872071923,
      33.7798881562153,
      24.7054241206358,
      28.7782669316752,
      39.1109631703723,
      33.8860883327121,
      28.6084847335214,
      35.313552859362,
      29.0963954739554,
      32.5195795478099,
      33.48091336402,
      31.5865732170764,
      31.4545603528474,
      35.1328684967681,
      28.4552344299638,
      39.4437748230334,
      34.8478422320555,
      26.807068419692,
      27.5284145502377,
      30.5563605938213,
      26.2467454566589,
      35.8885292890359,
      34.7458442855305,
      32.5832708106268,
      34.5233131222256,
      24.8645595866619,
      30.9876621197753,
      37.6697210366857,
      37.8932769886347,
      34.0030188561263,
      33.1914153930006,
      30.3790537782174,
      24.7064895226351,
      30.6305084344569,
      28.6416329083463,
      23.0991499870352,
      22.5340861583996,
      25.6708168750038,
      30.208557117148,
      23.8925425562193,
      22.663972651043,
      25.5114403174749,
      28.2275326127169,
      23.5245585029166,
      27.7769376228604,
      26.0521184903259,
      25.8028310113049,
      26.1085574909712,
      24.7521286282288,
      25.2309870963785,
      26.9685633492205,
      22.8464104432466,
      24.3425841278632,
      28.8291923987062,
      28.1095867728547,
      27.3835078683401,
      28.0541922610769,
      24.1325026156052,
      24.1716312200032,
      26.2098382295082,
      25.8983553274513,
      29.9638498276956,
      24.5521870793835,
      21.8698763395537,
      26.2615304021378,
      25.6404901975675,
      22.464154647163,
      30.4770365859005,
      24.1440901939608,
      25.8277266733303,
      22.8571546972679,
      25.090985904979,
      25.1569582633003,
      28.8996737317813,
      24.0357837577377,
      25.8117854149214,
      28.9068302401684,
      27.1736206187707,
      30.9898941822704,
      37.2361444780414,
      32.8432308396471,
      35.6573225644962,
      35.198930672443,
      31.8195515718914,
      34.8561756859644,
      36.4085401895394,
      34.6982435352582,
      31.0756882438201,
      35.1040778474311,
      31.1941827230347,
      34.1154725768776,
      34.4909906891807,
      36.5800481307047,
      27.6005219882659,
      30.5346237226739,
      28.384380540532,
      26.1391950833185,
      37.4729569525836,
      34.6912295066075,
      33.6319275242915,
      29.4030013985014,
      33.5135572508058,
      32.2190532427374,
      31.5746532220206,
      30.7325142407274,
      29.7288472044193,
      26.7464889617293,
      30.524638105509,
      23.3811870453405,
      26.0247196922853,
      25.1735099563832,
      24.3579967404681,
      29.3099860761375,
      33.3498321439004,
      31.57453294711,
      29.1537976801268,
      28.1409897576187,
      26.49706346989,
      31.36783000507,
      32.3619326969096,
      23.9020376121996,
      27.2611016826394,
      25.7499696420854,
      28.7846902907905,
      28.5941605183145,
      24.0822011859556,
      25.7236983757044,
      24.081378653515,
      25.7909215142184,
      24.5548110683687,
      26.6348477978249,
      23.9710102164043,
      25.3770649763866,
      26.5896594452968,
      23.9542009608139,
      26.2423247267836,
      29.5599125182641,
      23.7179764005948,
      21.7566924101286,
      23.9735416294222,
      23.7700398821423,
      27.8578463063209,
      24.841820865674,
      21.5133245588299,
      25.3524893831425,
      29.2027851389497,
      27.8077890488504,
      27.96427516095,
      24.329355328187,
      25.3905385239824,
      23.7096378519912,
      26.6393100153989,
      28.0996309126254,
      27.8224724839036,
      23.8455646821393,
      24.4164614418918,
      29.4439608421291,
      25.3799994109186,
      26.3513813955064,
      27.6809499692154,
      24.6204126961607,
      23.169545763568,
      25.4302983672703,
      25.662479393375,
      29.5004982024949,
      24.2465114698992,
      24.4072974398585,
      27.4761056309341,
      25.4792964767374,
      28.4329395923474,
      22.3957514671373,
      20.0877185579198,
      22.5253182959988,
      21.5110209688777,
      21.0243727357476,
      23.0689198523443,
      20.9894301649761,
      24.441808176792,
      22.5938901251065,
      20.5635590307435,
      21.7404353549275,
      23.2631504876229,
      24.2907093291148,
      24.1141850138451,
      23.2207507880546,
      22.8956716146378,
      24.4394686729713,
      24.9023322883896,
      21.9112311715164,
      21.0134985342735,
      23.9872880780642,
      24.1361570592206,
      25.2064490291001,
      26.3912500630683,
      21.2261273957851,
      20.4993011615678,
      20.6624632385572,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      37.1682064375985,
      44.381882145867,
      46.9901530693836,
      41.0201380361277,
      43.8064006909705,
      43.9440198862101,
      41.6926161741566,
      41.7285488205306,
      40.4489501044207,
      35.2810540359138,
      38.3944231218218,
      37.5050719203101,
      45.0566413002695,
      44.1560759632604,
      44.3007441514947,
      43.5029185591496,
      40.0434164520035,
      43.4363864984612,
      43.9182117126637,
      45.5788797654436,
      43.9257252991825,
      41.9343475241682,
      37.4660111764505,
      44.7712449399733,
      36.7553600811729,
      40.0029964533183,
      38.7972496896703,
      38.6456955506647,
      38.4452676403952,
      38.0987629307129,
      41.8036664091934,
      36.3313204702268,
      34.7874273880017,
      33.371456767873,
      35.0593382788493,
      41.9633712744283,
      37.7303754247477,
      36.3188967609117,
      38.3121509650089,
      37.3665145265792,
      35.7834882303313,
      41.9992321720695,
      39.9469707970062,
      36.3904798591181,
      36.0153082417154,
      36.2806491027945,
      47.5340942999144,
      35.1743667545116,
      38.3434722167338,
      39.3117581915325,
      38.2738353029211,
      36.6933263048297,
      38.3987040396878,
      40.5815777971677,
      38.2308307646876,
      35.7636090806637,
      35.0004474977258,
      34.1698819422678,
      45.0868682096144,
      36.5771828234457,
      36.4466064750802,
      41.2585892992739,
      37.4736170310636,
      39.6979828023937,
      41.6924857959198,
      37.1807564178384,
      37.2309402791353,
      38.278728894866,
      38.6918574575705,
      34.9441770803917,
      38.4526772541053,
      34.8570335034365,
      37.975826050777,
      36.4205376743662,
      34.4884179736146,
      33.9842348842217,
      36.0140818434319,
      31.2768927673994,
      35.7119973380234,
      37.1251417270348,
      33.2411579881482,
      41.1222371792134,
      36.3084876514875,
      36.6084336410803,
      38.891034710527,
      37.4311860992624,
      36.7243271947131,
      36.4366167164824,
      38.8829666338966,
      38.607924796407,
      36.8622550137697,
      39.987102205087,
      39.2166500153293,
      35.981086043293,
      37.962299933219,
      39.1318702260863,
      38.6560964593724,
      33.2057868162708,
      31.3673352128564,
      34.5511353312382,
      29.5244340791936,
      37.7134346264345,
      37.1403028124686,
      36.2282785781355,
      40.8772989195825,
      37.9682437787332,
      37.5850377228005,
      35.3797021354372,
      36.0737741002617,
      33.3170785808794,
      35.0108204002583,
      40.6659218895275,
      39.4291911261738,
      40.0648682317185,
      36.7619823094723,
      35.3802905867569,
      32.6277994363054,
      28.287604431804,
      30.9073902529557,
      30.3699566076884,
      35.409076765731,
      36.3053666041994,
      26.8009522249828,
      32.7333292959843,
      35.7041637631883,
      31.1881842740999,
      29.9137778265211,
      34.9732071993536,
      31.8305544636572,
      32.3777824594172,
      30.3297037859184,
      35.8313237999054,
      39.2947800211171,
      35.590145593979,
      33.8035622437091,
      34.2289703542537,
      29.4144714817059,
      31.8243409872171,
      37.3795254966889,
      33.1562438978211,
      29.5627862784662,
      31.469226915706,
      32.2585688457387,
      32.9616608988846,
      36.7529005895732,
      30.4631822860343,
      31.8378573096514,
      35.5044154810694,
      31.5143085806367,
      30.6933213230422,
      34.5462182190175,
      31.7036494473722,
      32.1783266338072,
      30.1696331311223,
      35.052548517505,
      35.745241377241,
      36.3165347833519,
      32.3974764186108,
      34.9093023437763,
      29.0508995770909,
      32.5533492767022,
      44.0280540850249,
      38.5683743142131,
      40.4365764389078,
      46.363043006453,
      35.0303427637817,
      35.5407347879774,
      39.5204720614964,
      41.8716224432636,
      33.4538011611295,
      35.7434899516114,
      33.6222006135375,
      38.9948252604743,
      37.621288043514,
      35.2463169655911,
      46.3574637237982,
      35.4879997149,
      37.2733450242924,
      44.6650133409653,
      38.8842202060119,
      38.4680898619994,
      34.4466344256792,
      36.9165847337358,
      35.899724400735,
      40.6986204876746,
      40.6922154208379,
      43.5425430726654,
      46.6899446654478,
      36.7729143689356,
      33.8413246091652,
      40.7224972310874,
      41.1332118928727,
      34.0646290271761,
      35.6187235611417,
      32.0107325722533,
      40.6835524079876,
      37.7145040762608,
      35.9545382684709,
      46.0906772785548,
      32.4514490543454,
      37.3032067353547,
      42.7244845387322,
      38.0010005070725,
      37.156356855602,
      35.4003358596037,
      37.8565741348456,
      42.0506779747966,
      37.2783548044345,
      41.0498484564106,
      41.5949085597563,
      37.7619589061631,
      37.3340644455842,
      37.7101744338068,
      39.0705849586282,
      31.141572247931,
      34.9217148752651,
      40.5309435845708,
      34.0524356079211,
      37.011444350713,
      39.0602857943455,
      38.9798325578789,
      38.9593612825753,
      34.8720156045427,
      35.1623313671021,
      42.7209636674668,
      39.2790869164332,
      32.4344548943727,
      37.3856358134725,
      36.1704506478901,
      41.5090164971606,
      36.8670432116328,
      41.1217434096192,
      40.474570364145,
      36.100293568099,
      36.6900199062752,
      38.4553604749761,
      38.7200942607956,
      32.2099018467995,
      37.025478443658,
      36.5713285112794,
      35.7391133480076,
      34.1706779716925,
      36.2969004079929,
      34.4862510497611,
      38.9278934985498,
      33.012000226613,
      40.1746224649264,
      40.8240215156096,
      38.4817238307045,
      35.8181391382842,
      37.6446771077941,
      38.914592986523,
      31.654387344962,
      36.6140280735946,
      31.1428255733041,
      26.7054553596816,
      28.9938106421024,
      35.4170247182738,
      36.0429745496042,
      30.2616802048905,
      31.2515556896397,
      35.5320025216991,
      32.0214723120635,
      30.914833448887,
      35.3785495522995,
      32.2685243774782,
      32.339327457878,
      30.3800422072484,
      32.8212062838575,
      36.1795313521557,
      36.0738631842326,
      33.1358656808267,
      32.5776981199341,
      31.74212903838,
      35.5734403322418,
      35.0290570042308,
      36.7652087871222,
      29.5437973099253,
      31.6619093020132,
      30.6580387118187,
      33.0235577046485,
      40.0525899742399,
      27.5459715521487,
      34.8271852134907,
      33.9582986851237,
      31.7771767917776,
      30.869979756611,
      33.6006403501015,
      32.6787464760676,
      34.503705329773,
      28.0360210371971,
      38.240200191666,
      35.1548482503655,
      36.0777245430224,
      34.7024477715856,
      34.4324759860143,
      31.0822237418327,
      33.2670542657792,
      41.2551240138729,
      46.8654117108623,
      40.8800200125205,
      35.5930390821806,
      38.7362398339783,
      41.2883027480788,
      36.1732738378533,
      38.5237970987717,
      34.707341852681,
      42.4756167445958,
      42.423558462121,
      41.527062770257,
      40.6374772370142,
      43.7658932728616,
      37.0804956905648,
      37.426244878063,
      43.7323537580435,
      40.7118295022615,
      38.875489380408,
      48.5320810082743,
      44.9596827088912,
      48.5947434170617,
      37.6394611781721,
      35.8629196892412,
      30.5877124393502,
      37.3569007409014,
      35.7983877656858,
      32.8678419843407,
      37.9662817242424,
      38.1767632057133,
      34.3212714142545,
      33.7647722617592,
      40.5087238846201,
      32.0482192843215,
      33.6616065910688,
      36.1374386800739,
      35.2827875432693,
      35.0205671355044,
      32.6709845637446,
      36.638066336226,
      40.8961246174005,
      40.2173322273281,
      34.4803723160418,
      36.7462931884829,
      35.9768463287655,
      37.3967525290569,
      34.5512057741106,
      34.6222351138147,
      27.0988050715987,
      32.4699339504218,
      30.2317709930867,
      31.6235166165092,
      36.8508146037285,
      27.0544838178814,
      32.1110160333604,
      35.4716483143464,
      33.0503335040003,
      30.9717615924283,
      35.0002435550809,
      31.2293353306283,
      29.2820457039624,
      29.1599843700032,
      33.8656251494203,
      39.4655960858535,
      36.4567926644037,
      34.5735480062017,
      36.7371325617365,
      29.8302742763338,
      33.7184214785664,
      33.8429225899196,
      31.8245872779907,
      31.2980299153397,
      31.1503716139933,
      31.9544224035909,
      32.9806061994653,
      35.2491025469562,
      31.3086771552422,
      34.7102611148984,
      34.3558984430834,
      31.6952782324566,
      31.6719017720847,
      34.9574738367619,
      31.3929025516092,
      28.8767351702184,
      31.8731601514008,
      33.8534880808554,
      40.2165833892274,
      32.848177605833,
      33.6306423911385,
      33.1107629897324,
      29.984719738501,
      36.2650517819381,
      26.3564006078604,
      22.0794533061584,
      27.4632147239348,
      23.6366488973125,
      23.4758333465874,
      23.788998110553,
      24.2675520849766,
      25.2251034910152,
      23.1845917372538,
      23.5047946863085,
      28.7241972769611,
      39.3594378175103,
      40.6294250952813,
      42.6060045219334,
      42.2950954619949,
      37.4993981380845,
      39.0545205017586,
      45.395574492502,
      43.5097504311114,
      44.0179903410674,
      35.0215076472788,
      42.3958298676642,
      43.0559093465759,
      38.4179489656891,
      22.8536645919046,
      20.3605332525352,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      28.9569550743941,
      34.8331313751624,
      33.718570116553,
      33.8593379419203,
      34.483756372975,
      34.4592873953431,
      33.9917360760586,
      35.7082873225158,
      33.6637665528065,
      34.2181327406087,
      32.5270037876151,
      31.7715051332918,
      37.7413734746837,
      34.0716894485204,
      39.7981451934088,
      37.7206173078202,
      36.7057697322892,
      36.1607081975858,
      35.7902112205793,
      37.5042357303331,
      35.6992776339303,
      34.5965116371666,
      26.3702233381051,
      40.4327390438631,
      37.9100050512031,
      41.845292019692,
      45.551119666645,
      38.5416466398821,
      39.5589390321841,
      42.9049079921246,
      36.531627769281,
      42.3631435500692,
      38.7530594876226,
      35.9423858597752,
      36.1364492160106,
      45.5344036856708,
      38.0006180650481,
      40.6096947566261,
      43.5859457610825,
      36.816628542535,
      39.5465139709469,
      41.9798817316173,
      40.8435351380229,
      40.5310866304834,
      37.5897066619587,
      33.0825155045973,
      42.2482156812904,
      36.19458176691,
      45.4827683771203,
      45.5661931071488,
      38.1263395669291,
      40.5989686900766,
      41.0091305248556,
      38.4965541507887,
      40.2229206213725,
      37.6136444711497,
      32.5964331264075,
      38.4007125199003,
      45.888998494207,
      38.4331845356191,
      40.963081559762,
      42.4022118152457,
      35.5479812960786,
      40.8863221011332,
      39.0951114898555,
      41.6258871713472,
      41.8587045340267,
      37.4987131902189,
      38.8294731843369,
      38.5292822349837,
      38.6282531740061,
      38.8854137328701,
      41.8017355233938,
      37.8607051050034,
      38.1197110902801,
      39.4922443197056,
      37.854149288142,
      34.9625439421219,
      38.4665541681461,
      34.586006366142,
      33.6274362709652,
      39.7503029991224,
      37.2933577764702,
      32.8393934304648,
      37.5561014768033,
      37.7373354068156,
      35.7968003341655,
      35.7212632059584,
      40.5418212915046,
      39.5242899044945,
      37.4387307358436,
      37.3866219703931,
      40.9256950766111,
      37.1948970242005,
      39.1470714665053,
      40.8995095134564,
      35.9739430362528,
      39.9295081268955,
      40.2097167778347,
      34.9144478688432,
      35.9323339012676,
      40.3168725556339,
      35.6652652470466,
      34.9867584913145,
      38.1434087150369,
      38.114942700245,
      34.1955469250709,
      39.392325247249,
      36.6454917896589,
      36.282133309733,
      36.0780723307895,
      40.7649640604444,
      42.5938323723552,
      37.360953414364,
      38.4772463035874,
      34.7358094223733,
      35.367241191051,
      31.1625029811547,
      33.6383625660735,
      32.2134972956157,
      34.6507972453874,
      41.0272684458449,
      32.536767341041,
      38.4570564931532,
      34.213352149596,
      35.3235618135414,
      32.1549271761701,
      37.0547471339566,
      35.163585926248,
      32.039607515389,
      29.3684738601916,
      36.4749120437442,
      39.6538639401239,
      36.0998318216484,
      36.3581800089827,
      40.1601120763411,
      36.4892984383133,
      36.255282181869,
      34.61365787684,
      35.4391366328216,
      30.4045748285123,
      34.0236366161,
      34.6301877870121,
      35.4799672553918,
      37.5213513471279,
      32.5671263343359,
      38.4104176889392,
      31.4579562988592,
      34.8275686143367,
      34.1606903198501,
      38.5159664728747,
      35.5087052974602,
      29.3506007843368,
      29.688084607806,
      36.0523255908708,
      41.1993812670194,
      36.5594511601812,
      34.6054025243105,
      38.925621265537,
      34.7601468388421,
      36.9990810511555,
      40.3952092067877,
      40.2925121438053,
      45.3781968075376,
      49.5050396732023,
      35.5188856412125,
      39.4201113162015,
      38.1234531827275,
      39.991951745807,
      37.4123623863981,
      44.3874175396236,
      40.0735812615043,
      40.992804920051,
      37.8718269145789,
      37.4916228058353,
      43.8110346779811,
      37.4749315672837,
      35.3973179055194,
      41.1090422426151,
      35.3713568388362,
      41.1751288170162,
      39.1937193333529,
      38.5811766710108,
      37.1401134207241,
      39.1230748532122,
      42.9292875834484,
      46.4476645193183,
      45.7797269554596,
      36.859565975321,
      39.3227119512152,
      40.382070552496,
      39.8238817708676,
      36.8911261103716,
      44.1962591609014,
      39.8881470323887,
      42.2139317804054,
      38.5649141865366,
      39.2006313905403,
      44.8534623912185,
      34.9440704140191,
      37.6150418191462,
      40.7445690852322,
      36.9674533047814,
      41.2540628637674,
      37.0506699713074,
      40.7425351838146,
      40.0280610117624,
      37.7123223854313,
      39.6908826393974,
      38.9380058543641,
      40.8530257406727,
      39.1868193675875,
      40.6738717779451,
      40.6130294517729,
      35.9827852593524,
      39.7989441961065,
      36.9748449219533,
      32.498847249748,
      41.205828048368,
      36.4369809883359,
      38.4740768954937,
      38.224850522385,
      36.2972370482755,
      36.250404315649,
      40.355261907901,
      38.4012060901541,
      37.7487877400534,
      39.0437767004446,
      38.6679729019385,
      41.2620619514472,
      36.7797987860925,
      36.7826288781743,
      41.947634391893,
      39.9008714009942,
      39.0322893564727,
      40.3902684276195,
      38.3729782067046,
      37.2063384743975,
      40.0312097354838,
      34.9757410516978,
      30.975332654287,
      40.6292720130177,
      36.8715878551329,
      39.3448374475183,
      38.2426484182765,
      35.7551515305167,
      38.2114874751058,
      39.1330447317565,
      42.5778770992371,
      38.9609122592711,
      40.0361976152636,
      40.25923925378,
      33.8197014743632,
      35.1504833195357,
      33.0739239420551,
      31.5259974603684,
      33.0407409580337,
      35.5927396953471,
      40.5373831943191,
      34.4637048254003,
      35.3450129955011,
      37.2955075452138,
      35.9233779240661,
      33.2604645995877,
      38.2518110386518,
      35.2938736620013,
      28.6383960805104,
      31.5626976774946,
      33.1935805553607,
      35.3493321602939,
      40.6471299461802,
      34.1895300144334,
      38.0181580144591,
      35.5468288222868,
      40.6042712874245,
      34.4589163863087,
      34.7337379261068,
      31.8396321005377,
      32.2042535996636,
      32.6006376608577,
      35.8496185801098,
      40.4671922819345,
      33.9048597673074,
      36.7213324355391,
      35.6802674106373,
      33.5862457067645,
      31.7520032989093,
      36.3169197635905,
      35.2236937222773,
      34.190940020211,
      30.7844816777072,
      34.6705583489037,
      37.2137609158799,
      38.6401423438505,
      34.9863089976967,
      40.2690663609182,
      34.1184626212912,
      37.9724118326618,
      34.6913498803139,
      33.3380073529767,
      34.6305705301315,
      39.5252398184824,
      33.5154824710425,
      35.9965497458669,
      36.7754707610974,
      30.0399010699998,
      30.3468665603472,
      40.3878586306933,
      37.5318989942194,
      33.4957692438079,
      34.0946551320639,
      33.7420391414859,
      33.4013650039414,
      33.0720493222131,
      40.9449515432618,
      35.0254675280506,
      36.2560930583507,
      37.2793816229772,
      37.35595812434,
      38.5028001626382,
      38.0766585010769,
      44.6950410310345,
      43.6870369217986,
      37.4793941558531,
      41.6059806009445,
      34.650120402086,
      40.4260084203224,
      39.6657410208031,
      34.1627103923754,
      38.8817881047877,
      35.6265675444555,
      31.1730344162325,
      36.5366146744747,
      39.3350133848777,
      37.5564727318238,
      38.6916212250258,
      36.4455920064566,
      38.2318428092742,
      45.7112162720504,
      38.9921919884856,
      38.074421958596,
      38.9305596242425,
      35.4833021639886,
      38.1595747575165,
      34.9878463164303,
      36.2307499101447,
      29.7783507268109,
      33.9819899738541,
      32.6330863621511,
      36.005014264204,
      37.990045118727,
      31.7195731235728,
      37.8117034828552,
      34.3768741736093,
      33.9936929954133,
      32.0141717299337,
      38.6100578393795,
      34.6429891780843,
      28.9984799573285,
      30.6846237952293,
      34.5909024563019,
      40.556549911519,
      35.3665866621168,
      36.629605694651,
      38.4298915436027,
      35.429089020326,
      37.9577945876406,
      34.5048720287163,
      33.7165280255023,
      31.6211331300251,
      32.3426968513001,
      33.9179864706754,
      36.8908736286674,
      36.4495580133125,
      33.7556392671909,
      36.9081921334437,
      31.9700015106174,
      36.515510071915,
      32.3697040136794,
      39.2279499212086,
      33.2536366794454,
      30.1031802846839,
      31.2829191063071,
      34.5305775358714,
      43.3065879376563,
      35.2053307111181,
      36.3538885178954,
      38.4081575295358,
      35.1620420711184,
      41.6674308816262,
      43.5147298294833,
      42.3797080475697,
      48.8394088363188,
      44.7955115147453,
      44.459793343529,
      49.091949676818,
      43.4486443789024,
      47.8631088059321,
      45.1830626042226,
      44.7132911217783,
      44.8394200879041,
      44.379688149249,
      45.1332429789245,
      44.5759336700923,
      44.6652293261021,
      41.6057128642319,
      44.5525129494349,
      49.2700179200207,
      46.8177829104872,
      50.0214406841754,
      44.4192869976173,
      45.930127459985,
      43.7131320079235,
      42.5338535183203,
      27.9710065159733,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      35.6110019194417,
      43.4106475891708,
      42.4350041067041,
      42.685780577653,
      43.9882510467705,
      42.689388027261,
      42.4546362895134,
      42.515224993705,
      43.1475001324683,
      40.2754412155688,
      42.3612885617289,
      40.4751690314491,
      43.1494283898076,
      44.1295729741618,
      44.1975929380903,
      45.3900727424205,
      42.8863018972927,
      42.0402797106623,
      44.7594575469273,
      44.3879239483372,
      42.6329403120482,
      39.5142710727528,
      31.3871471137819,
      41.6397982621927,
      38.8986153896977,
      40.2237278581736,
      41.2707764710903,
      36.7204191556206,
      38.2257698095198,
      42.3634734732877,
      38.6807686435628,
      41.7101778375123,
      38.4491037511339,
      34.491517692976,
      35.8219077755752,
      38.8753564026316,
      36.1923094523512,
      35.506405703942,
      36.825029976741,
      32.4390588534403,
      36.9566129450748,
      38.8676422949047,
      40.6400558795565,
      35.3944838663277,
      35.4950233186074,
      31.9150679342718,
      42.9635789430136,
      38.4240685205552,
      38.6700591098138,
      43.195357475006,
      36.3637433165459,
      38.0904499914929,
      43.7038281816247,
      39.5161847116522,
      40.6052127861937,
      37.6831478954077,
      34.5311882807047,
      36.3946095522387,
      38.2865733380442,
      37.5914432688905,
      35.3029605250381,
      36.3856950911314,
      31.4825921545043,
      34.4240147536578,
      37.6773990822508,
      40.8104446650471,
      35.0084541826758,
      34.0356544530634,
      33.9618267466547,
      40.0316742953979,
      38.1546026684867,
      38.4927619319617,
      39.5551170611824,
      39.3153686956942,
      35.4450461737256,
      38.0582216997406,
      38.1455782980899,
      37.1146448457538,
      37.6985874258787,
      37.1042732584343,
      34.887264610862,
      37.0591728787043,
      35.2435776725652,
      33.6573760126577,
      34.0351074512709,
      34.2655451486349,
      34.7038985928529,
      35.1690781725291,
      35.1319048668675,
      34.0552618217091,
      37.1547436637308,
      31.6047825010373,
      40.4559583266377,
      37.1433099686174,
      38.8557389804149,
      38.6878369655956,
      37.7894428128038,
      35.2905025986515,
      39.1261863427321,
      36.4469378566006,
      35.1686245649462,
      38.3914941178901,
      37.401132208903,
      34.0309122257418,
      36.2626829496428,
      34.9223899041068,
      33.0712620435615,
      35.0754523026479,
      33.9009614945791,
      34.8507937819227,
      36.0674475952591,
      35.9950128372282,
      35.8478615482048,
      35.9762911887952,
      34.6263121461107,
      37.0196124694088,
      34.9813500749803,
      27.7468314161397,
      30.9691199362475,
      31.3519798747653,
      33.6473500164021,
      42.1923629814818,
      32.9091999204519,
      34.3520697631919,
      36.118889976578,
      36.0352236283843,
      35.3984773566866,
      33.4690033843249,
      29.7103002617941,
      29.1111575492989,
      27.3100439374456,
      33.1532949851014,
      36.3657574644778,
      34.4133600739709,
      32.1311493250671,
      33.7264994064982,
      35.6498958080619,
      32.5418457251263,
      37.2429079387271,
      33.4686240098587,
      28.869031983239,
      31.4644315653854,
      31.8027171726536,
      33.7263552492577,
      39.5543969714341,
      33.6073891376867,
      35.9825970964977,
      35.3290530978145,
      34.4157241878856,
      35.7956229198407,
      32.6244493741285,
      30.7449571912876,
      28.759213074314,
      29.5814451632483,
      31.6525529840622,
      35.8583522629146,
      34.1265564332082,
      32.7553651078302,
      34.6227846042187,
      33.7593923378216,
      33.3562671969212,
      39.8707006983889,
      36.2879633174852,
      40.016327807149,
      39.9265783975061,
      34.7599322452645,
      36.0720625017104,
      40.3724631413958,
      38.2873792676377,
      43.9115409044079,
      42.0104472133153,
      36.1256008671922,
      36.8447304972275,
      38.6935058689284,
      35.7387360837201,
      35.7958706820113,
      35.4327518072151,
      34.1319138165927,
      38.8641125132886,
      35.920952756314,
      36.2170500914356,
      33.4090827986725,
      35.4041634103077,
      33.7527483769152,
      37.5356926815909,
      36.9033337127393,
      41.5465164982865,
      40.5381313277362,
      34.2586214948397,
      38.5874757626741,
      41.3167635548362,
      38.4512815286995,
      44.009223094254,
      39.960312321782,
      36.5421025423239,
      37.3444830155552,
      38.898199270276,
      34.0712626994259,
      35.1660188378982,
      35.065370704862,
      35.1943554447363,
      37.7256174266198,
      36.8324062354033,
      35.4491535814556,
      33.725440016589,
      35.4836135654623,
      37.7002603175858,
      37.9073177519599,
      40.0516288389341,
      38.8960662613666,
      40.858938888126,
      36.0961163412626,
      39.9211421916791,
      40.9642526862793,
      38.3146717896292,
      36.6892248779154,
      37.1600422651563,
      35.6823781163773,
      36.1971260406862,
      37.9056591403241,
      38.3013193638013,
      38.2033394000212,
      34.6211076322382,
      34.1063821492789,
      38.2897971733695,
      36.6277182438949,
      34.0899744855485,
      37.9845021498738,
      31.912909173474,
      38.857330790618,
      37.5389793166889,
      38.9157471987292,
      41.317731580162,
      39.7090540103344,
      35.9419340871152,
      39.227784182491,
      40.6598530480357,
      38.3595330658689,
      38.193293916515,
      36.2977220516767,
      34.9051105965597,
      34.2299499171157,
      37.7216099651275,
      36.3846253916338,
      38.4777204366486,
      33.3617724625963,
      35.8535485227504,
      37.7655075095263,
      37.4255488564519,
      34.7845917330512,
      37.0999488256216,
      34.5433393104494,
      36.1292045695353,
      34.9489621845548,
      31.5136430033725,
      29.9771337449891,
      30.3450422026994,
      34.2889969584691,
      39.9304687507848,
      35.9126619523908,
      35.6165197138335,
      37.2658503016886,
      34.4067991694492,
      36.0023709919746,
      35.1776616474801,
      31.9650584155886,
      28.7186941404792,
      29.5394304381314,
      31.1601998142171,
      33.4643727281839,
      33.87293821315,
      35.4511282994968,
      31.6249841070979,
      34.4886465647733,
      33.2552668338781,
      37.1191222095354,
      35.1029352445144,
      29.6038327100655,
      31.6418919187513,
      30.8776480118592,
      33.4218981725037,
      41.7576845593531,
      33.3316102367499,
      35.4773874941426,
      36.084132280056,
      34.3805517434489,
      35.411796904111,
      35.689880471632,
      32.2588379501217,
      27.9132717506211,
      29.3144773558079,
      31.7888312645021,
      34.2310934435085,
      35.1144245725388,
      33.5273504931572,
      32.0826989066175,
      34.9399666214194,
      33.8606378589289,
      39.0500076387641,
      42.7618012844854,
      39.7357491401049,
      36.4891233797647,
      33.213926957571,
      37.8433287857137,
      35.9813550908183,
      39.4953048264623,
      33.4165736304399,
      35.3461006550881,
      41.0325226488644,
      38.1663355732881,
      35.3477106128769,
      39.9533550651924,
      37.5027172870442,
      41.1144745605658,
      36.7195270444354,
      34.8597416224847,
      37.3212524046013,
      38.8498328356671,
      37.3142104943472,
      36.5295973622429,
      31.5374847471258,
      38.1138734699393,
      37.5054979462729,
      38.4860101118369,
      41.4944203871611,
      36.7774772575338,
      37.2658462833696,
      40.2431712068763,
      35.8624970565538,
      33.8875844851017,
      33.7112655237231,
      37.0640873741632,
      37.0101555779034,
      35.4727143198763,
      35.6866665156964,
      38.621830434492,
      36.7507539764784,
      33.6815383812819,
      39.4518200105017,
      37.0310834815943,
      33.3971979145365,
      33.0731867401393,
      34.32196772578,
      38.0835400279494,
      37.2149964337529,
      34.4863672158493,
      29.1532130606162,
      30.7719762263672,
      32.2793917921962,
      36.0626290601418,
      39.8491475965852,
      33.604808771956,
      35.5704519950396,
      34.4039376667681,
      35.4548139114727,
      35.5896366700297,
      33.0329369758651,
      29.7448392897273,
      30.3999052949439,
      27.9686216144291,
      32.3788497722416,
      35.1283202863957,
      34.4796023277785,
      33.4661806552242,
      33.4094797102075,
      33.3997639943584,
      32.6910138547895,
      37.3451373324585,
      33.4317609576116,
      30.3478249007173,
      31.1435227050322,
      32.3200984323725,
      35.0228150487158,
      37.3683683716679,
      34.1692369015909,
      34.3312057993657,
      35.2190712579099,
      35.1264064179059,
      34.7353374296749,
      33.2750933374114,
      29.1305695497505,
      29.5982055657839,
      30.6801890531212,
      30.7657384439532,
      37.1957504167357,
      33.7230109873568,
      32.5478226306284,
      33.162151068877,
      33.8092816335616,
      40.2159073554324,
      46.1458813289343,
      44.25093278871,
      51.445508925586,
      46.3475459457791,
      44.3025392903931,
      49.0299927736044,
      45.9495070598281,
      46.9743200318514,
      45.8805517876893,
      40.8810323803983,
      43.9741851483877,
      40.9529518626472,
      42.8158366724089,
      39.9336526624148,
      41.6060434620682,
      39.1645841858499,
      41.7186447795049,
      45.5074524730101,
      41.0589986941204,
      43.1356725005026,
      38.5539605591544,
      40.6414091680882,
      42.8233332775305,
      40.9692801579239,
      27.3941461881567,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      36.9699764452318,
      44.8024210286739,
      44.4875489116711,
      43.2870315710888,
      44.8640262063687,
      43.4199164188376,
      44.7191848498889,
      45.0253480441166,
      43.1067075437158,
      40.899379608004,
      39.6869164204351,
      41.3609034580231,
      43.0245802079675,
      41.2538344023301,
      43.4999394144516,
      42.4479364263311,
      42.7912098452162,
      42.8210567867492,
      42.0182724169536,
      44.2227821247687,
      41.0612736433378,
      37.9222052555154,
      32.8236120685659,
      44.8191811857491,
      39.6207719623423,
      40.9250800646782,
      43.7760549709052,
      36.0101297234561,
      37.7689673497904,
      44.5654731723056,
      38.3171125687154,
      43.2619532447317,
      41.6076595942615,
      36.7093998339691,
      39.7439331389091,
      45.1918185721571,
      36.7724104989435,
      42.9472951733657,
      41.2204437919375,
      36.3155891653611,
      38.2425814637319,
      40.6868727074203,
      43.1530098374217,
      38.1234392768291,
      34.501175830189,
      33.0727458499625,
      46.0373935513165,
      37.115920129142,
      42.4921631691167,
      45.1716860875665,
      35.2226950240549,
      37.867880437226,
      44.2828844773129,
      38.9746358199813,
      43.0304039371474,
      40.7557449569859,
      35.3136677776147,
      41.0059776778515,
      44.3610425864262,
      37.4814446477809,
      41.8222996329736,
      39.1703829630748,
      37.1682610364882,
      40.564514176686,
      39.6619924267409,
      41.815560844097,
      38.3907580400806,
      34.9519700772788,
      34.3221585841361,
      37.1417641630554,
      35.1835225393027,
      36.0582527357958,
      38.0938456405732,
      35.3476514766112,
      37.8717238444104,
      37.7823847290266,
      35.9696713675657,
      37.2689701041412,
      41.9652919665764,
      36.5141926641043,
      39.6438160367046,
      34.822368312084,
      38.4314284001318,
      40.1559741474687,
      38.71125612493,
      38.0401277403352,
      36.1376770578084,
      35.5862190572831,
      43.7513383232912,
      40.9978794880782,
      38.2224877975471,
      36.0122036590345,
      37.1633181844511,
      34.4488488055524,
      36.8625925708424,
      37.4752706606609,
      34.6784924988231,
      37.4612325888053,
      37.2159939669993,
      35.8018347079412,
      37.81464799117,
      40.6815177669986,
      36.4338263069228,
      40.8012170083514,
      34.7938569412833,
      38.8098678604607,
      41.4602096473319,
      38.6930299147595,
      37.6175515222214,
      37.074421785681,
      35.1369669731587,
      41.8236639504088,
      42.7713752164477,
      39.359495980478,
      35.6958595734194,
      39.1464020866045,
      39.3253672045924,
      31.5603449196774,
      35.5618812047543,
      34.5914445482972,
      34.7859069324238,
      43.5139181418606,
      37.8293751844098,
      36.8572063659902,
      40.0729404447209,
      39.6297913852258,
      40.2475047956545,
      39.3424647847458,
      35.3924224701704,
      32.7036649937399,
      33.2078728140566,
      34.9934434176044,
      40.1022817380278,
      38.2843590224297,
      34.4197755097053,
      38.6275795300782,
      38.3464839186102,
      38.3441802085893,
      39.9882603747995,
      36.4937607356311,
      33.0161284819715,
      34.0967635116341,
      35.0860312629734,
      33.9978784535873,
      41.0918585736188,
      39.2244641022598,
      36.8358809598651,
      38.4919503500295,
      39.0700158729027,
      39.3200455152098,
      39.52432692041,
      34.0864253747352,
      33.5488558350018,
      33.2735505949381,
      34.9912175868099,
      40.1980560679552,
      39.3169580220506,
      34.5023578321254,
      39.1807559853742,
      37.0015030113817,
      37.880560208023,
      37.4640561222396,
      36.8751802446341,
      43.8959774122211,
      42.3634219810812,
      32.6853577130076,
      33.8923146912748,
      35.343521884144,
      39.7560325810257,
      44.7167638489776,
      38.8237516555634,
      40.2822558956927,
      42.7190944041881,
      35.631304908753,
      36.8277533499018,
      46.5842091850221,
      38.5973408453615,
      39.1532248946193,
      38.5400454458114,
      33.4969427280103,
      37.6499432199441,
      30.9291759554612,
      34.1092441675945,
      39.1427727180952,
      35.527852394503,
      38.9135617694586,
      46.5779780898442,
      40.1209924605204,
      33.7184355433081,
      35.1859320066401,
      37.3352405310139,
      40.3065655993921,
      44.8989205922756,
      38.0404243042172,
      41.6523349836886,
      41.8636274919055,
      36.3814933264437,
      37.7454506918654,
      45.6042259503157,
      37.9053036870204,
      39.9670697284901,
      38.0269189160456,
      33.5044233805047,
      38.4687333878967,
      30.8428799182518,
      35.0708190307992,
      40.5777660128369,
      38.3176464020487,
      37.3950924693478,
      38.0016680977282,
      37.0935599683271,
      34.3007100594018,
      40.6817413780033,
      38.249233180214,
      39.6683025082593,
      43.340415012045,
      36.6054888220562,
      36.6444738298173,
      39.576567045007,
      36.005747895598,
      40.4376312515783,
      40.9878316576417,
      33.6913817325837,
      38.3749086476051,
      39.7272949754951,
      38.6627522241974,
      38.9565914489962,
      39.2361167083931,
      32.1554788752256,
      42.5468799427771,
      36.9550420554069,
      38.1560416724051,
      39.740439181436,
      37.6131902707605,
      34.4639532880117,
      42.478143028223,
      37.3903172808888,
      38.5509537450505,
      43.1240887070807,
      36.0560239645059,
      38.7632227349367,
      38.7137416228258,
      36.5398827052283,
      39.6449340035898,
      41.4927759296235,
      32.6727342746035,
      38.301047147298,
      38.4210401130238,
      39.6106636958972,
      40.4588973895951,
      37.9505968719029,
      34.1075631821896,
      39.3930449344187,
      39.1765541597442,
      34.74838727176,
      33.1281200336055,
      34.2181222372515,
      35.8019166626374,
      41.2099536676511,
      40.4748705840347,
      36.1053010516156,
      40.2237649414071,
      37.4979718106878,
      39.1092088501244,
      40.0079454422559,
      36.2610046113341,
      32.9064822873131,
      33.9974601773718,
      36.9897046670391,
      34.4717509919012,
      38.1401076719705,
      38.3814584044896,
      34.9261537647909,
      36.398952307898,
      37.7237150000213,
      39.1840000862697,
      38.3995663001513,
      33.135133270756,
      32.4870285508601,
      35.0298901781971,
      34.6362571296104,
      42.6278617197122,
      38.9921031165303,
      36.5329822234495,
      39.8167686139379,
      37.159036959349,
      38.4286362594139,
      39.1919018844474,
      35.5739490717252,
      34.950603947585,
      33.4245898019087,
      36.022825682853,
      35.7429846169154,
      39.0516668322814,
      36.4737770253327,
      37.6762380412797,
      37.8064886297588,
      38.3523095132751,
      44.5609823102112,
      43.0373082913391,
      40.9933433846551,
      39.1045595602062,
      33.3501540748687,
      40.4249773669323,
      37.8618874123816,
      36.8886998708157,
      38.3396545995685,
      37.0429860741544,
      39.2370792649259,
      37.2129407392564,
      37.5000577605823,
      36.596884518349,
      39.9264343502649,
      37.6349688561275,
      39.5948072254096,
      38.8621973012593,
      39.337425028774,
      38.4169712130259,
      34.7601122875618,
      31.2592157155905,
      35.7330724375353,
      41.408777546515,
      35.2011493560548,
      38.1066153710687,
      41.1228641308816,
      35.6518067552956,
      36.4594895285621,
      39.9951477423983,
      38.3986361500981,
      41.1830402267932,
      36.6256595593813,
      36.4885565213033,
      36.8616043005494,
      34.6946453678366,
      34.8231490295949,
      40.4016272886273,
      36.0473652116599,
      37.2118402610043,
      37.4068785689193,
      36.1001010900644,
      37.282347721273,
      37.3892600203369,
      34.6900778421467,
      36.9425316911364,
      40.1098001877723,
      36.6578697075489,
      32.316692438696,
      35.0008514960335,
      34.88367430883,
      35.224351184104,
      41.1477030002519,
      39.1641743586358,
      38.2705010382835,
      38.5548107071431,
      38.5333323499807,
      40.1062895407027,
      39.0829385630987,
      33.5110857924467,
      32.4946722763785,
      33.9462244936781,
      35.5070865273291,
      38.4503147086602,
      39.4430925147627,
      34.2579233392711,
      38.6660038839685,
      38.2479257339688,
      36.9540901341345,
      41.605270729871,
      35.4059015071222,
      33.1930509200458,
      34.236624548732,
      36.8287316755408,
      36.7201975589965,
      39.0773481316204,
      39.1395182950854,
      36.9027806780037,
      38.6462601030173,
      38.4594539738604,
      39.961096601491,
      38.7539691758787,
      32.4864641601475,
      33.5198886822327,
      34.8104157355027,
      34.7900776499269,
      40.4514120039451,
      38.3927282213865,
      36.9257534513967,
      39.8006899565873,
      37.517185283952,
      42.6990402195395,
      48.6744492801832,
      45.4673870656225,
      53.2151237095675,
      46.2249192856639,
      49.2738213045876,
      53.0821548249095,
      46.5026757862836,
      51.6572097950862,
      51.6213114468607,
      45.8815962420151,
      54.0209442824665,
      50.3792393432213,
      44.5851557458371,
      48.7117878656968,
      49.6349042423236,
      45.3741853446461,
      48.9646937142906,
      50.511382255076,
      43.6543154458033,
      50.3968925928064,
      48.4047422270084,
      44.0207304680123,
      49.878796986666,
      39.1200587012116,
      23.5425122601087,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      33.7652521012673,
      42.1094356906746,
      42.3835456218445,
      39.5819424183878,
      42.1404815624628,
      40.6208783624933,
      41.2392028137899,
      40.125077373587,
      39.2054326970116,
      39.4832688057751,
      41.6464714192921,
      42.485441954419,
      40.5319027802244,
      38.504177493608,
      41.5550452337818,
      40.7790310871795,
      40.2394758878898,
      38.3535884043837,
      40.5982915236473,
      39.5662813585528,
      37.5143242671404,
      45.7695667394186,
      57.6553871969127,
      58.2585668748,
      61.6169330454957,
      59.869889322033,
      59.222747941176,
      62.3070514718586,
      62.6126019018483,
      58.5609733534705,
      61.8714094657798,
      59.4327124267147,
      59.7267742839489,
      58.2870008028245,
      55.9557900233404,
      56.9192234099564,
      61.4350856260521,
      54.9769466896847,
      54.7519122771144,
      61.4935629859668,
      53.4078851560816,
      61.2200760166441,
      59.9996444633424,
      57.7640774059741,
      57.3522896663619,
      56.993327564157,
      57.9855280579934,
      61.3318907655296,
      59.2116094014985,
      59.9667157821594,
      61.8324698179108,
      62.2191703717097,
      59.8680284836489,
      61.4588049838635,
      59.7181860504971,
      58.9210736344606,
      60.0299369050105,
      53.2664444680774,
      57.9694201089113,
      60.2341190941812,
      52.886495725331,
      57.9287227757131,
      61.1414387326195,
      52.1647173065325,
      63.6448374361854,
      60.7186206561798,
      56.8955654948502,
      57.5512509719586,
      63.5821546351677,
      55.3330050566458,
      62.4472235820205,
      63.5240544126483,
      55.1715647393693,
      63.03760972393,
      61.0720743478641,
      59.5522198018277,
      62.4779767314286,
      56.8809392998752,
      55.4705948270387,
      60.1892148240576,
      55.3713835071649,
      59.730541347801,
      58.0470437816132,
      52.6448072871476,
      63.4368065127729,
      61.1846758600947,
      55.4609711900652,
      64.611075512337,
      56.5789029651709,
      53.4079687846266,
      59.6045463847114,
      62.6354242655298,
      54.7371459117717,
      62.2495184163497,
      64.0615231407316,
      56.6348963589501,
      63.0839825084766,
      58.7558530381562,
      59.2601595507269,
      63.1260175032529,
      55.6299459999751,
      58.0726428659396,
      59.7214268763055,
      54.0958040322256,
      62.3703417008939,
      57.2923154796417,
      53.2731559022204,
      62.1183497556722,
      60.2375728062858,
      60.4636449083536,
      65.1103163395652,
      60.9255407521845,
      56.8184521574751,
      59.5315783279336,
      58.4220658589751,
      56.4230685415697,
      62.1111028738308,
      61.4182934344883,
      58.7538495776355,
      61.8887889716233,
      63.2847966649406,
      56.8424418381812,
      63.8988655022877,
      61.4417729348296,
      61.0234103662388,
      61.2735517752383,
      54.2265059414753,
      61.2978670736617,
      63.0206261069612,
      59.4403946300977,
      61.5950450530861,
      62.3638537507925,
      56.1309260915538,
      63.8514759785748,
      65.5225158559171,
      59.0286484837733,
      61.3878530405528,
      57.7156607291726,
      57.8891709472535,
      62.633032817862,
      60.3569253174718,
      59.1521625287269,
      61.343874434706,
      62.8072347203716,
      59.5964934091463,
      63.8813416098705,
      61.1600613299318,
      60.7345885253608,
      62.4903626054334,
      54.5581287366905,
      61.3777004330713,
      62.4478115455436,
      58.7449441575014,
      61.5078287641135,
      63.6027157659909,
      55.9306385117253,
      64.0899396083877,
      64.5442698279775,
      60.0370551047449,
      62.5615582271753,
      57.2152882581626,
      63.7351437789886,
      62.9939788176482,
      54.2822785572579,
      58.0027395203696,
      63.1617526001434,
      67.6679164113784,
      65.9212188607136,
      57.8426270501906,
      57.4335329822903,
      58.2639681712579,
      58.4711784878074,
      55.4547167400147,
      62.4716480312561,
      56.877906878819,
      62.8028201368286,
      61.0412205403525,
      63.5927667916747,
      58.5251658030074,
      62.6529509777193,
      55.4177426960687,
      68.5605457368257,
      59.2183343812403,
      55.9601057977128,
      66.0838182252557,
      61.2514207651903,
      54.0358701569085,
      59.369625459304,
      64.110177447508,
      67.2336923888554,
      64.2630249103949,
      56.6518825724822,
      58.6817076094881,
      59.1359436234986,
      58.2523434266973,
      54.578820049704,
      62.7998047325559,
      57.9335064038809,
      63.4371792129067,
      61.0129626115119,
      61.61638927819,
      58.4402875917459,
      62.8451480129314,
      55.0446235194772,
      70.3164361770344,
      58.5198094582068,
      53.1735366536053,
      60.1586092497871,
      59.0958989230125,
      61.0086500409994,
      61.3821778982081,
      65.6666622117477,
      57.1940356547704,
      59.1575128561462,
      57.166354024508,
      53.205141735495,
      60.8789191754113,
      61.2828712735043,
      55.9095726672822,
      60.8147812145306,
      55.8526770249749,
      63.9017331206358,
      64.9440715968637,
      57.224685505439,
      59.3045732778203,
      59.2870683219969,
      52.0864542719371,
      56.5038945903373,
      62.592208922661,
      51.8919476776363,
      60.3267617428537,
      61.37927497995,
      60.1075329144805,
      61.0297501040149,
      65.199386587252,
      56.2104964552684,
      59.4729808948611,
      58.5427465250903,
      53.1203346301903,
      61.4526342495277,
      58.4096952624041,
      56.7230692626428,
      60.8453109650191,
      56.2491202607024,
      64.975490277099,
      64.0238811325356,
      59.975375258761,
      60.6574583701301,
      60.998869453518,
      53.7249895322286,
      60.0710041110324,
      62.5894056015939,
      56.1690284333807,
      60.4824395310297,
      62.2330961083388,
      58.5318050146122,
      61.7344511505408,
      62.8322533313388,
      59.1736458842212,
      63.8860650904031,
      63.8176255228582,
      57.7989512441792,
      62.1225917120155,
      55.5233230476229,
      58.5326117660079,
      63.3070956113108,
      60.1092616044833,
      60.7242024467524,
      60.9390096965195,
      61.8682644679083,
      62.1301498424816,
      62.8590048559529,
      60.9491548068193,
      60.7692478673979,
      61.577325346976,
      53.6735973449705,
      61.807631537341,
      62.1992715989724,
      58.2186321328929,
      60.9349981635629,
      63.8602395667816,
      59.250266851979,
      63.9105692166162,
      62.0032110859434,
      57.5847163445709,
      62.2494228922522,
      56.2808435841332,
      59.9918948453293,
      62.8268892367141,
      58.7705872939213,
      61.6866891440169,
      61.7941671568399,
      60.5408415095503,
      58.7772104819108,
      64.9755959868841,
      61.2275679832563,
      61.9522297071704,
      59.2277191240977,
      40.7648450430773,
      39.0941751322746,
      43.329449704397,
      49.2993384822758,
      57.2192220948178,
      47.8005544346357,
      49.2422708761726,
      67.950091493012,
      58.5655560078873,
      53.8607805320992,
      44.6240404554879,
      49.933298257063,
      52.3402407231216,
      52.9487006340941,
      54.1515043734025,
      45.8223033499444,
      52.7418455583767,
      50.612215850069,
      49.6103298154315,
      58.0762735924908,
      64.1323787900177,
      60.7167736466485,
      56.1424201497686,
      57.7821177031987,
      61.106850108705,
      60.1360956960613,
      56.0475713388635,
      60.9078400013174,
      61.2450881087354,
      60.9909832689029,
      57.4081950259255,
      52.8247552418644,
      55.0909834169272,
      58.3005776498179,
      58.5436250457717,
      63.2431197410058,
      59.9556782228213,
      55.7072000142647,
      60.2797806360098,
      61.6775936799605,
      59.8510185457616,
      63.2739739205828,
      55.9976058037614,
      51.4326581526885,
      55.7633413877018,
      53.6307293961588,
      57.4537985078848,
      62.1194691820296,
      59.9359077988502,
      58.9964576638781,
      61.2777673595263,
      63.0775354991832,
      59.2593954251099,
      63.308148953458,
      60.3768836762082,
      60.7966158222864,
      61.9557809338627,
      54.2782778378706,
      61.6641616722943,
      62.0102364391869,
      58.531110543352,
      61.2039823911735,
      62.6493779471693,
      59.0899351428127,
      63.820884037945,
      63.1429151493514,
      57.5487688039455,
      62.2100799136535,
      55.1162858490574,
      57.8062933290901,
      63.1298259265475,
      59.169808438621,
      59.7852172533872,
      60.6057149860889,
      61.6403657002535,
      61.1149045164846,
      62.6959909471683,
      60.4337797619911,
      59.7125299593557,
      61.6281091386374,
      54.0550889055781,
      62.2946860340307,
      61.8714627982309,
      58.2834219900958,
      60.8500499048185,
      64.7482556183299,
      55.0276670683661,
      63.804920466254,
      62.3465066714604,
      59.7141812877986,
      62.3629979511231,
      53.6041555888298,
      49.8390388801834,
      48.0164677834624,
      48.1934806895296,
      51.467084526058,
      46.4288264755756,
      49.8979045643765,
      52.7129186841164,
      49.7660108673672,
      50.288038501758,
      51.087024047387,
      49.1707480482315,
      47.6422498676965,
      52.2339268078026,
      48.4920824768682,
      47.6781043523433,
      49.671827073546,
      46.5118741854596,
      47.1004005729666,
      49.8027990172057,
      47.5346620471497,
      46.5586774512984,
      47.7078790267659,
      34.5452627280224,
      21.9091524683807,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243,
      20.659069098243
    ],
    "harmonic_energy_curve": [
      0.0000113532560135354,
      0.0328514575958252,
      0.058703076094389,
      0.0618454441428185,
      0.0508968830108643,
      0.0630074888467789,
      0.0533645562827587,
      0.0592831373214722,
      0.057237483561039,
      0.0477731451392174,
      0.0521138682961464,
      0.04137097671628,
      0.0325026884675026,
      0.0404232069849968,
      0.0342191681265831,
      0.0409820154309273,
      0.0369977280497551,
      0.0313603207468987,
      0.0321288295090199,
      0.0404828377068043,
      0.0397108867764473,
      0.0342834107577801,
      0.0378992035984993,
      0.0439134538173676,
      0.0946412086486816,
      0.0971837639808655,
      0.0911796018481255,
      0.107482627034187,
      0.0949320942163467,
      0.106564670801163,
      0.103298492729664,
      0.103935524821281,
      0.112635046243668,
      0.116196312010288,
      0.090695358812809,
      0.0954603552818298,
      0.103337354958057,
      0.0795262828469276,
      0.0986373275518417,
      0.0982320308685303,
      0.0668712481856346,
      0.0825244262814522,
      0.100800514221191,
      0.103616818785667,
      0.0947716012597084,
      0.0880890116095543,
      0.0898950919508934,
      0.118446134030819,
      0.0942666456103325,
      0.0931732282042503,
      0.108042396605015,
      0.0941186919808388,
      0.106016851961613,
      0.102415695786476,
      0.103527091443539,
      0.112144060432911,
      0.116278000175953,
      0.0845000296831131,
      0.0987822413444519,
      0.103289186954498,
      0.0814865007996559,
      0.0990715175867081,
      0.0881965383887291,
      0.0689383149147034,
      0.086139403283596,
      0.0994609892368317,
      0.108960062265396,
      0.0925936102867126,
      0.0849393010139465,
      0.0953154787421227,
      0.120908349752426,
      0.0947722494602203,
      0.083071269094944,
      0.114870138466358,
      0.0842891782522202,
      0.0998756289482117,
      0.0846281126141548,
      0.0961942821741104,
      0.100105240941048,
      0.117365203797817,
      0.0910698547959328,
      0.0957801714539528,
      0.0974815562367439,
      0.0824907124042511,
      0.101123444736004,
      0.0682965889573097,
      0.0769019946455956,
      0.0787113681435585,
      0.0726555064320564,
      0.111945196986198,
      0.0980147942900658,
      0.0858788639307022,
      0.1007214859128,
      0.120533242821693,
      0.0876692906022072,
      0.0890361219644547,
      0.114133961498737,
      0.084902860224247,
      0.0937757417559624,
      0.0880569741129875,
      0.0959315523505211,
      0.103381223976612,
      0.113002128899097,
      0.0919262021780014,
      0.0989216491580009,
      0.0948466807603836,
      0.0883418172597885,
      0.0966916680335999,
      0.0672613754868507,
      0.0777089521288872,
      0.0725282356142998,
      0.0765872299671173,
      0.104363851249218,
      0.101677499711514,
      0.0888204798102379,
      0.106874883174896,
      0.096648633480072,
      0.0842283368110657,
      0.0827198848128319,
      0.083611972630024,
      0.0820369943976402,
      0.0851717367768288,
      0.0936566814780235,
      0.0868636891245842,
      0.0810168534517288,
      0.0888116955757141,
      0.0789604559540749,
      0.0855086445808411,
      0.0757405906915665,
      0.074478305876255,
      0.0855294540524483,
      0.0724866464734077,
      0.0692110657691956,
      0.0633389055728912,
      0.0734278708696365,
      0.0724697411060333,
      0.0773018151521683,
      0.0740011483430862,
      0.0969991907477379,
      0.0974446907639503,
      0.0827239230275154,
      0.0821383520960808,
      0.0821099430322647,
      0.0885621160268784,
      0.0823303312063217,
      0.0931674540042877,
      0.0881274044513702,
      0.0799988433718681,
      0.0877142176032066,
      0.0833343416452408,
      0.0855518728494644,
      0.0755589231848717,
      0.0730348974466324,
      0.0910695120692253,
      0.0683442950248718,
      0.0673338025808334,
      0.0646513476967812,
      0.0756717324256897,
      0.0692466199398041,
      0.0786130130290985,
      0.0752857178449631,
      0.0993662774562836,
      0.111859537661076,
      0.0937453061342239,
      0.12474711984396,
      0.107965528964996,
      0.099824994802475,
      0.0846442207694054,
      0.102964833378792,
      0.12398811429739,
      0.113050639629364,
      0.11568146944046,
      0.101675793528557,
      0.125041171908379,
      0.101829119026661,
      0.0855595618486404,
      0.108309760689735,
      0.087650403380394,
      0.0861379280686378,
      0.0754296183586121,
      0.0797517821192741,
      0.0959049388766289,
      0.085627369582653,
      0.0980635136365891,
      0.101209484040737,
      0.107579536736012,
      0.0958588495850563,
      0.122499227523804,
      0.106645740568638,
      0.101897977292538,
      0.0806267634034157,
      0.104693502187729,
      0.12796151638031,
      0.116395749151707,
      0.115411199629307,
      0.096919909119606,
      0.13272625207901,
      0.0975532308220863,
      0.0875218883156776,
      0.107833474874496,
      0.0838088095188141,
      0.087037667632103,
      0.0762458443641663,
      0.0872918590903282,
      0.0942797362804413,
      0.0812689960002899,
      0.100868806242943,
      0.111351028084755,
      0.108370222151279,
      0.0910750478506088,
      0.101166091859341,
      0.0856433436274529,
      0.102849438786507,
      0.114956125617027,
      0.102968364953995,
      0.10459178686142,
      0.107776038348675,
      0.0949442833662033,
      0.0906868949532509,
      0.0984164625406265,
      0.090512327849865,
      0.105966135859489,
      0.0939350798726082,
      0.0651195719838142,
      0.084929421544075,
      0.0976255834102631,
      0.0900639519095421,
      0.0988610684871674,
      0.0923112705349922,
      0.088875025510788,
      0.112191371619701,
      0.104105301201344,
      0.090726837515831,
      0.102645054459572,
      0.0862859934568405,
      0.103859923779964,
      0.119224771857262,
      0.100209757685661,
      0.10243858397007,
      0.110683590173721,
      0.0908351987600327,
      0.0940563008189201,
      0.0939836204051971,
      0.0882763490080833,
      0.103143192827702,
      0.0894012451171875,
      0.0666216537356377,
      0.0839921981096268,
      0.100936070084572,
      0.0954878330230713,
      0.102013677358627,
      0.087201863527298,
      0.0938758328557014,
      0.0989061295986176,
      0.091535747051239,
      0.0732147693634033,
      0.0953501835465431,
      0.0672504082322121,
      0.101542085409164,
      0.0785026922821999,
      0.0956591218709946,
      0.0742829293012619,
      0.0966013595461845,
      0.0758144855499268,
      0.0915588885545731,
      0.0773491263389587,
      0.0780931115150452,
      0.0754003003239632,
      0.0742829069495201,
      0.072529099881649,
      0.0667973160743713,
      0.0685103386640549,
      0.0854858234524727,
      0.0741199776530266,
      0.069540873169899,
      0.0897773876786232,
      0.101000890135765,
      0.0899536162614822,
      0.0779795795679092,
      0.0885735377669334,
      0.0735157877206802,
      0.0958469361066818,
      0.0806347727775574,
      0.0947758108377457,
      0.0728853270411491,
      0.0956695973873138,
      0.0751424580812454,
      0.0907598361372948,
      0.0775463506579399,
      0.0719391852617264,
      0.0780994668602943,
      0.0814486145973206,
      0.0676876604557037,
      0.0543994568288326,
      0.0757957994937897,
      0.0765723511576653,
      0.072103813290596,
      0.0731360465288162,
      0.0852601379156113,
      0.116369187831879,
      0.104711875319481,
      0.0971194431185722,
      0.0972850918769836,
      0.102619372308254,
      0.108986057341099,
      0.101279370486736,
      0.106661774218082,
      0.0879667997360229,
      0.105155482888222,
      0.108149781823158,
      0.094842366874218,
      0.0922261998057365,
      0.0934037864208221,
      0.0997488051652908,
      0.0783096924424171,
      0.0822497010231018,
      0.0711613520979881,
      0.0858417451381683,
      0.0997790023684502,
      0.0888820216059685,
      0.105668388307095,
      0.10383377969265,
      0.115412645041943,
      0.0927848741412163,
      0.0885765105485916,
      0.0843200609087944,
      0.080839179456234,
      0.0967706367373466,
      0.0909945964813232,
      0.0870440006256104,
      0.101654224097729,
      0.088050976395607,
      0.0843089148402214,
      0.0915578901767731,
      0.0821278467774391,
      0.0824897587299347,
      0.079231321811676,
      0.0599615462124348,
      0.0730855166912079,
      0.0829716846346855,
      0.0750118792057037,
      0.0803837403655052,
      0.08769740909338,
      0.078276053071022,
      0.0976880267262459,
      0.0937995314598083,
      0.0806127637624741,
      0.0765927582979202,
      0.0795539394021034,
      0.0833812355995178,
      0.0806805193424225,
      0.0907136276364326,
      0.083805575966835,
      0.0771636813879013,
      0.0840802490711212,
      0.0805011615157127,
      0.0834222882986069,
      0.0733388513326645,
      0.0700240060687065,
      0.0872459411621094,
      0.0660609304904938,
      0.0706220343708992,
      0.0627405792474747,
      0.0733046606183052,
      0.0735374018549919,
      0.0795013159513474,
      0.0731665939092636,
      0.0927866995334625,
      0.09783785790205,
      0.0747294276952744,
      0.0809694677591324,
      0.0803746059536934,
      0.0857099443674088,
      0.0775919705629349,
      0.0894410237669945,
      0.0860408470034599,
      0.0774390548467636,
      0.0826732739806175,
      0.083129771053791,
      0.0812385231256485,
      0.073528490960598,
      0.0734434202313423,
      0.0802809149026871,
      0.0673954635858536,
      0.0631666332483292,
      0.0661533772945404,
      0.0714499056339264,
      0.0676440298557281,
      0.0759212672710419,
      0.0745941027998924,
      0.0675584822893143,
      0.0492500625550747,
      0.0360194258391857,
      0.0524847097694874,
      0.0452605001628399,
      0.0415855348110199,
      0.0566274225711823,
      0.0416044928133488,
      0.050733532756567,
      0.051748763769865,
      0.0365609563887119,
      0.0450132116675377,
      0.04609315097332,
      0.0427902266383171,
      0.0515219755470753,
      0.0423467680811882,
      0.0382712557911873,
      0.045171394944191,
      0.0453392416238785,
      0.0396735444664955,
      0.0567620359361172,
      0.0500048734247684,
      0.0409733615815639,
      0.0156089765951037,
      0.00128597300499678,
      0.000312599237076938,
      0.000196898443391547,
      0.0000502272741869092,
      0.0000116368892122409,
      0.00000867714879859705
    ],
    "percussive_energy_curve": [
      2.01619059225777e-7,
      0.0136775840073824,
      0.0124380374327302,
      0.0119933867827058,
      0.0127342501655221,
      0.0108377067372203,
      0.00945817586034536,
      0.0113960495218635,
      0.00845600198954344,
      0.0110279181972146,
      0.0175595134496689,
      0.0177396144717932,
      0.062546044588089,
      0.0228937864303589,
      0.0664355605840683,
      0.0684984028339386,
      0.0142407370731235,
      0.0688763111829758,
      0.0665273293852806,
      0.0283985082060099,
      0.0524586364626884,
      0.0640796199440956,
      0.0553218126296997,
      0.0564712584018707,
      0.056257888674736,
      0.0408631786704063,
      0.0662804171442986,
      0.0534403026103973,
      0.0422454066574574,
      0.0472166612744331,
      0.0470165349543095,
      0.0466268584132195,
      0.0620570965111256,
      0.0650059133768082,
      0.0710875689983368,
      0.0598672330379486,
      0.0217561442404985,
      0.0785581842064857,
      0.0679976344108582,
      0.0436921007931232,
      0.0575516000390053,
      0.0632803291082382,
      0.0424777828156948,
      0.0663724541664124,
      0.0724396705627441,
      0.0712613686919212,
      0.0627971738576889,
      0.0426789708435535,
      0.0438072681427002,
      0.0645086169242859,
      0.0527724325656891,
      0.041016947478056,
      0.0624760575592518,
      0.0373137779533863,
      0.0473379231989384,
      0.0598181262612343,
      0.0636472329497337,
      0.0752851590514183,
      0.0560927949845791,
      0.0265613347291946,
      0.074224479496479,
      0.0794267803430557,
      0.0444327294826508,
      0.0506296493113041,
      0.0589279122650623,
      0.0454531908035278,
      0.0727236643433571,
      0.0754887163639069,
      0.0696777552366257,
      0.0522580444812775,
      0.0460248030722141,
      0.0423699617385864,
      0.0740317478775978,
      0.0461763516068459,
      0.0482693575322628,
      0.0705908611416817,
      0.0407630689442158,
      0.0633640289306641,
      0.0619452334940434,
      0.0593379661440849,
      0.0700135827064514,
      0.0623158849775791,
      0.046396728605032,
      0.0754814520478249,
      0.071299135684967,
      0.0510459020733833,
      0.0479011535644531,
      0.0593527108430862,
      0.0576656050980091,
      0.0765250101685524,
      0.0798156782984734,
      0.0780142918229103,
      0.0510340817272663,
      0.0350745692849159,
      0.0432569198310375,
      0.0713888257741928,
      0.0485064685344696,
      0.0502511151134968,
      0.0731216445565224,
      0.0394852682948112,
      0.0666865557432175,
      0.0664632692933083,
      0.0583614557981491,
      0.0658083781599998,
      0.0547448694705963,
      0.0532388873398304,
      0.084303580224514,
      0.056115660816431,
      0.0518952608108521,
      0.0461275205016136,
      0.0465108193457127,
      0.0561904013156891,
      0.0308171845972538,
      0.0313056632876396,
      0.0516705401241779,
      0.0483076646924019,
      0.0383721068501472,
      0.0554213114082813,
      0.0786479786038399,
      0.0505295135080814,
      0.0605225749313831,
      0.0618813037872314,
      0.0262464284896851,
      0.079820416867733,
      0.0678666308522224,
      0.0493297353386879,
      0.0426724217832088,
      0.0578004755079746,
      0.0530770160257816,
      0.0636638030409813,
      0.0745644196867943,
      0.0598815381526947,
      0.0414396226406097,
      0.0610988475382328,
      0.055016852915287,
      0.0559260845184326,
      0.0411316230893135,
      0.0562077462673187,
      0.052930660545826,
      0.0384457372128963,
      0.068433940410614,
      0.0659752860665321,
      0.0553118325769901,
      0.0554954819381237,
      0.0584608986973763,
      0.0385376885533333,
      0.070353738963604,
      0.0692182779312134,
      0.0500399507582188,
      0.0418861322104931,
      0.060844961553812,
      0.0524990148842335,
      0.0661691799759865,
      0.0699833780527115,
      0.0557329244911671,
      0.0450823381543159,
      0.0555895455181599,
      0.0589214339852333,
      0.0537945553660393,
      0.0407657511532307,
      0.0548942983150482,
      0.0527119971811771,
      0.0373130738735199,
      0.0708607360720634,
      0.0472362339496613,
      0.0338561423122883,
      0.0422560088336468,
      0.075260266661644,
      0.048076219856739,
      0.0579982772469521,
      0.0611630380153656,
      0.0495492517948151,
      0.0538292452692986,
      0.0418573692440987,
      0.0464167520403862,
      0.084102526307106,
      0.0480637773871422,
      0.0454911850392818,
      0.0728132650256157,
      0.0314346477389336,
      0.0657394900918007,
      0.0735285058617592,
      0.0796228647232056,
      0.0690532326698303,
      0.053036205470562,
      0.0454454980790615,
      0.0648506730794907,
      0.0492962375283241,
      0.0355487912893295,
      0.0408038310706615,
      0.0733570531010628,
      0.0448700599372387,
      0.0567161589860916,
      0.0658861249685287,
      0.058494608849287,
      0.0551928915083408,
      0.0289071463048458,
      0.0477749742567539,
      0.0833696201443672,
      0.0464475862681866,
      0.0502268858253956,
      0.0646050199866295,
      0.0319717638194561,
      0.0728491172194481,
      0.0749401450157166,
      0.0784816592931747,
      0.06463223695755,
      0.0496041998267174,
      0.0386558137834072,
      0.060704629868269,
      0.0560984425246716,
      0.0448347516357899,
      0.0436908863484859,
      0.0546280667185783,
      0.0420478507876396,
      0.063403382897377,
      0.0706766322255135,
      0.0705658569931984,
      0.0677458271384239,
      0.0338726714253426,
      0.0594696924090385,
      0.0720421969890594,
      0.0571472011506557,
      0.0627950057387352,
      0.0637343674898148,
      0.0369522608816624,
      0.0692871287465096,
      0.0765388682484627,
      0.0735670253634453,
      0.0664813295006752,
      0.0521631240844727,
      0.0395959727466106,
      0.0643974021077156,
      0.0567362941801548,
      0.044345460832119,
      0.0523229166865349,
      0.0446505546569824,
      0.0430639311671257,
      0.0671903342008591,
      0.0650060027837753,
      0.0744375884532928,
      0.064418688416481,
      0.036905512213707,
      0.0721544921398163,
      0.0711007490754128,
      0.0496868342161179,
      0.0599835328757763,
      0.0441512018442154,
      0.0444314517080784,
      0.0373754389584064,
      0.0358091667294502,
      0.0517779178917408,
      0.0357878692448139,
      0.0586983598768711,
      0.0463537238538265,
      0.070859894156456,
      0.0647030547261238,
      0.0623750239610672,
      0.051908653229475,
      0.0318956449627876,
      0.0592769086360931,
      0.0699462741613388,
      0.0571183599531651,
      0.0538148693740368,
      0.0561861135065556,
      0.0424777194857597,
      0.0728772804141045,
      0.0597769655287266,
      0.0716271102428436,
      0.043697576969862,
      0.0588793866336346,
      0.0563107430934906,
      0.059790451079607,
      0.0685010924935341,
      0.0547525659203529,
      0.0397115461528301,
      0.0539829730987549,
      0.0487911179661751,
      0.0779480040073395,
      0.0581705644726753,
      0.0606501623988152,
      0.0595943182706833,
      0.0227890387177467,
      0.0713275447487831,
      0.0660668089985847,
      0.0499923788011074,
      0.0529745630919933,
      0.0580527894198895,
      0.0489907711744308,
      0.0700801685452461,
      0.0533247515559196,
      0.0760354325175285,
      0.0388895459473133,
      0.0557076409459114,
      0.0610261261463165,
      0.0488038398325443,
      0.0462838709354401,
      0.0553423836827278,
      0.0396452359855175,
      0.0109779620543122,
      0.00794733315706253,
      0.0247884057462215,
      0.0283679217100143,
      0.0318055227398872,
      0.0282498393207788,
      0.0409704372286797,
      0.0493842028081417,
      0.0402502492070198,
      0.0272130202502012,
      0.023559557273984,
      0.0505729168653488,
      0.055840976536274,
      0.0270740482956171,
      0.0500552244484425,
      0.0460013896226883,
      0.0422193184494972,
      0.069504126906395,
      0.0583837442100048,
      0.0400420464575291,
      0.068625807762146,
      0.0490234978497028,
      0.0625242665410042,
      0.0359656885266304,
      0.0554034523665905,
      0.0517657920718193,
      0.0515398122370243,
      0.0419746749103069,
      0.0492829941213131,
      0.0253647472709417,
      0.0581342987716198,
      0.057672705501318,
      0.056551355868578,
      0.0508730188012123,
      0.044269323348999,
      0.0434177257120609,
      0.0783403515815735,
      0.0515895560383797,
      0.0474950559437275,
      0.036926131695509,
      0.0361365973949432,
      0.0459710098803043,
      0.0753251016139984,
      0.076238788664341,
      0.0653051808476448,
      0.0430624522268772,
      0.0390461497008801,
      0.0631470829248428,
      0.066321574151516,
      0.052606288343668,
      0.0541630312800407,
      0.0572305507957935,
      0.0375206209719181,
      0.0704373866319656,
      0.0661133304238319,
      0.0484062433242798,
      0.0402438081800938,
      0.0576830990612507,
      0.0506343431770802,
      0.0660702362656593,
      0.0686224699020386,
      0.0547571815550327,
      0.0603963881731033,
      0.0328024327754974,
      0.0587892457842827,
      0.0633177235722542,
      0.0583695247769356,
      0.0547229573130608,
      0.049973800778389,
      0.0376938059926033,
      0.0724026188254356,
      0.0539790093898773,
      0.0644592419266701,
      0.0430597849190235,
      0.0566601566970348,
      0.0464347526431084,
      0.0602587051689625,
      0.0685753971338272,
      0.0481142811477184,
      0.0400842316448689,
      0.0575885772705078,
      0.0498975850641727,
      0.0734841600060463,
      0.0615044049918652,
      0.0540942810475826,
      0.0476436726748943,
      0.0485278777778149,
      0.0614044480025768,
      0.0469998605549335,
      0.0407933555543423,
      0.0523503161966801,
      0.025136686861515,
      0.0259854625910521,
      0.0203205365687609,
      0.0119732096791267,
      0.0339836478233337,
      0.0104141552001238,
      0.0117626590654254,
      0.0348193570971489,
      0.0110198417678475,
      0.0135694248601794,
      0.0358489789068699,
      0.0122245168313384,
      0.0135666951537132,
      0.0336387902498245,
      0.012693758122623,
      0.0111840516328812,
      0.0370884612202644,
      0.0147139839828014,
      0.0105361081659794,
      0.0351963676512241,
      0.0136138517409563,
      0.0239228010177612,
      0.0251566600054502,
      0.00705259339883924,
      0.000370879075489938,
      0.000132492481498048,
      0.0000680175362504087,
      0.0000276535556622548,
      7.30625018263709e-8,
      0.00000134722404254717
    ],
    "harmonic_percussive_ratio_curve": [
      0.981209874153137,
      0.726503670215607,
      0.817661583423615,
      0.833736419677734,
      0.797674179077148,
      0.847580969333649,
      0.842915117740631,
      0.83168762922287,
      0.867887377738953,
      0.808623254299164,
      0.74093371629715,
      0.708074867725372,
      0.503135800361633,
      0.691163122653961,
      0.536640465259552,
      0.522921800613403,
      0.730603694915771,
      0.479519933462143,
      0.507770121097565,
      0.698747634887695,
      0.585159003734589,
      0.521569013595581,
      0.588391780853271,
      0.45817843079567,
      0.656782627105713,
      0.715583682060242,
      0.610705316066742,
      0.693172216415405,
      0.708626627922058,
      0.709955930709839,
      0.70472127199173,
      0.701708793640137,
      0.67190808057785,
      0.668435454368591,
      0.578686773777008,
      0.641445159912109,
      0.825915932655334,
      0.529854953289032,
      0.635539412498474,
      0.710791885852814,
      0.551881909370422,
      0.605500340461731,
      0.718472480773926,
      0.658598065376282,
      0.598421335220337,
      0.570113301277161,
      0.610197365283966,
      0.770362198352814,
      0.690812945365906,
      0.62792444229126,
      0.698356151580811,
      0.711876273155212,
      0.655481517314911,
      0.731166541576385,
      0.700877785682678,
      0.678286194801331,
      0.673628032207489,
      0.54643702507019,
      0.668899595737457,
      0.801698684692383,
      0.550196945667267,
      0.593503475189209,
      0.682766973972321,
      0.582729458808899,
      0.63730001449585,
      0.696248114109039,
      0.650453865528107,
      0.586729168891907,
      0.563657224178314,
      0.674204051494598,
      0.74328875541687,
      0.70889413356781,
      0.552048563957214,
      0.7558234333992,
      0.645507574081421,
      0.600094735622406,
      0.673866748809814,
      0.635112822055817,
      0.640788197517395,
      0.685142397880554,
      0.58606231212616,
      0.634125649929047,
      0.686157166957855,
      0.552823483943939,
      0.629680156707764,
      0.604860961437225,
      0.617721557617188,
      0.613360702991486,
      0.567167401313782,
      0.635994613170624,
      0.592840194702148,
      0.547514498233795,
      0.688251852989197,
      0.784617006778717,
      0.685740351676941,
      0.58731734752655,
      0.74400395154953,
      0.635881900787354,
      0.57402503490448,
      0.688145160675049,
      0.618065714836121,
      0.632876217365265,
      0.6771000623703,
      0.605611145496368,
      0.678473770618439,
      0.64665675163269,
      0.548457562923431,
      0.669387519359589,
      0.595943331718445,
      0.632170855998993,
      0.611423075199127,
      0.585801064968109,
      0.772747397422791,
      0.764035642147064,
      0.647585928440094,
      0.722232937812805,
      0.715560019016266,
      0.623217046260834,
      0.538578033447266,
      0.645247340202332,
      0.60487562417984,
      0.612526774406433,
      0.798919200897217,
      0.549052000045776,
      0.550875127315521,
      0.651370823383331,
      0.646931350231171,
      0.618740200996399,
      0.602092862129211,
      0.562229812145233,
      0.567032277584076,
      0.574504673480988,
      0.630447506904602,
      0.587440013885498,
      0.620034873485565,
      0.569145858287811,
      0.65656578540802,
      0.579204857349396,
      0.674476563930511,
      0.71747875213623,
      0.573738873004913,
      0.573304653167725,
      0.622449517250061,
      0.640212893486023,
      0.635556936264038,
      0.740612268447876,
      0.58393257856369,
      0.54626727104187,
      0.644353210926056,
      0.665361285209656,
      0.606376528739929,
      0.60425591468811,
      0.551131129264832,
      0.598845660686493,
      0.584858536720276,
      0.601295948028564,
      0.614948809146881,
      0.606578588485718,
      0.566177010536194,
      0.662385702133179,
      0.589254856109619,
      0.680309891700745,
      0.756995916366577,
      0.600366473197937,
      0.753383219242096,
      0.788074135780334,
      0.70737487077713,
      0.533595561981201,
      0.68739378452301,
      0.709239482879639,
      0.678353726863861,
      0.717712938785553,
      0.667747139930725,
      0.775431513786316,
      0.690609872341156,
      0.532382130622864,
      0.743036150932312,
      0.677886605262756,
      0.558199286460876,
      0.722699880599976,
      0.584613502025604,
      0.59509152173996,
      0.534307360649109,
      0.616671502590179,
      0.684613108634949,
      0.712717890739441,
      0.632780194282532,
      0.74110209941864,
      0.780168890953064,
      0.71952885389328,
      0.528125822544098,
      0.710209727287292,
      0.719735383987427,
      0.662810027599335,
      0.68804407119751,
      0.657806634902954,
      0.830980479717255,
      0.669031262397766,
      0.545880198478699,
      0.749968647956848,
      0.642805576324463,
      0.605425357818604,
      0.717836499214172,
      0.574631094932556,
      0.591092646121979,
      0.523043215274811,
      0.639053046703339,
      0.72692346572876,
      0.752033352851868,
      0.638036906719208,
      0.667188584804535,
      0.676598966121674,
      0.710405468940735,
      0.707215011119843,
      0.725784003734589,
      0.647184669971466,
      0.623396754264832,
      0.593135714530945,
      0.589654386043549,
      0.740049839019775,
      0.623697519302368,
      0.634687721729279,
      0.658779859542847,
      0.522579967975616,
      0.598740935325623,
      0.730807065963745,
      0.596006751060486,
      0.59123033285141,
      0.584882616996765,
      0.583692073822021,
      0.72155088186264,
      0.738969802856445,
      0.621975243091583,
      0.669471919536591,
      0.677707552909851,
      0.680659234523773,
      0.753630101680756,
      0.715477228164673,
      0.623727381229401,
      0.653142869472504,
      0.562734603881836,
      0.610755085945129,
      0.718608975410461,
      0.579065203666687,
      0.631928205490112,
      0.659625291824341,
      0.541139960289001,
      0.656411528587341,
      0.709475755691528,
      0.723243713378906,
      0.726417243480682,
      0.636848151683807,
      0.731575846672058,
      0.646550714969635,
      0.677238941192627,
      0.544164955615997,
      0.620200514793396,
      0.558998644351959,
      0.686827182769775,
      0.736332058906555,
      0.647941827774048,
      0.532603561878204,
      0.647074818611145,
      0.590792655944824,
      0.646005153656006,
      0.649021923542023,
      0.541628956794739,
      0.581903576850891,
      0.551183223724365,
      0.632106244564056,
      0.609089314937592,
      0.590330004692078,
      0.631985664367676,
      0.53551459312439,
      0.577876508235931,
      0.698525786399841,
      0.67183130979538,
      0.66086357831955,
      0.530581831932068,
      0.621415972709656,
      0.585784256458282,
      0.643947005271912,
      0.782168328762054,
      0.603471577167511,
      0.539335429668427,
      0.675018429756165,
      0.596265494823456,
      0.63464766740799,
      0.623754620552063,
      0.532167673110962,
      0.621534526348114,
      0.543817698955536,
      0.639010667800903,
      0.567318499088287,
      0.604897856712341,
      0.617087721824646,
      0.61014986038208,
      0.584341704845428,
      0.680819451808929,
      0.912890911102295,
      0.929647147655487,
      0.7897047996521,
      0.776634335517883,
      0.771446108818054,
      0.794786334037781,
      0.715492904186249,
      0.696378588676453,
      0.671590268611908,
      0.796555578708649,
      0.818763911724091,
      0.688778042793274,
      0.668267548084259,
      0.777160108089447,
      0.711154103279114,
      0.693233609199524,
      0.658277869224548,
      0.522317588329315,
      0.634857773780823,
      0.741243422031403,
      0.590814292430878,
      0.732293844223022,
      0.637687027454376,
      0.760007917881012,
      0.632499575614929,
      0.66763961315155,
      0.646960377693176,
      0.677560746669769,
      0.69876492023468,
      0.791534960269928,
      0.624099969863892,
      0.662733793258667,
      0.646224498748779,
      0.65888774394989,
      0.725461065769196,
      0.667701601982117,
      0.545308411121368,
      0.658204734325409,
      0.583398103713989,
      0.690686225891113,
      0.756915509700775,
      0.641014993190765,
      0.563559055328369,
      0.574713170528412,
      0.582577347755432,
      0.736100077629089,
      0.706304609775543,
      0.593389630317688,
      0.556880295276642,
      0.624920189380646,
      0.637501239776611,
      0.631322145462036,
      0.741440176963806,
      0.570626556873322,
      0.546713948249817,
      0.640300452709198,
      0.667012333869934,
      0.611526191234589,
      0.607559084892273,
      0.543758273124695,
      0.589649677276611,
      0.58048677444458,
      0.56931859254837,
      0.688195466995239,
      0.598476588726044,
      0.562657415866852,
      0.609377443790436,
      0.582430720329285,
      0.676121354103088,
      0.724449634552002,
      0.538289546966553,
      0.619488060474396,
      0.582767963409424,
      0.676334083080292,
      0.637149691581726,
      0.691537082195282,
      0.616471946239471,
      0.538760483264923,
      0.641562759876251,
      0.676757633686066,
      0.606703400611877,
      0.612187504768372,
      0.531923055648804,
      0.591837882995605,
      0.593707919120789,
      0.572077095508575,
      0.654712796211243,
      0.575179398059845,
      0.591222167015076,
      0.656083226203918,
      0.599403083324432,
      0.750847935676575,
      0.714204072952271,
      0.691779136657715,
      0.809248805046082,
      0.665328860282898,
      0.794011175632477,
      0.825939178466797,
      0.623125374317169,
      0.820209801197052,
      0.791943252086639,
      0.598690867424011,
      0.786570310592651,
      0.767522990703583,
      0.64432168006897,
      0.800515234470367,
      0.791880309581757,
      0.575537025928497,
      0.74724006652832,
      0.818888068199158,
      0.623345792293549,
      0.806545257568359,
      0.709451794624329,
      0.680300354957581,
      0.726677119731903,
      0.76996910572052,
      0.709624409675598,
      0.740567684173584,
      0.711644172668457,
      0.994156777858734,
      0.864299356937408
    ],
    "mfcc_curves": [
      -1187.31585293036,
      -848.341185781555,
      -697.112327967856,
      -691.695399872728,
      -712.325154358029,
      -712.729607826692,
      -722.852442581082,
      -682.504216628402,
      -729.859115680288,
      -729.877439325356,
      -689.307388094754,
      -702.230354534452,
      -637.438180342486,
      -686.882926373925,
      -744.36351586696,
      -702.946156660218,
      -708.873468693709,
      -716.41402581893,
      -736.274083075341,
      -711.105327037339,
      -707.245176469571,
      -755.115996235576,
      -546.79793256975,
      -203.829328324784,
      -311.713878519395,
      -173.88462422118,
      -266.700695483048,
      -280.019338288734,
      -165.056440499014,
      -200.47220233461,
      -271.473060143931,
      -176.739915411356,
      -293.652157628754,
      -284.998848157694,
      -219.322571597035,
      -288.984854016743,
      -310.319950724488,
      -164.209428724683,
      -353.862075497985,
      -356.295024049782,
      -123.111241654079,
      -352.073111136613,
      -224.402989716743,
      -262.301434301892,
      -294.921566289595,
      -268.036206196103,
      -281.196018584791,
      -324.153435047394,
      -177.22896689911,
      -288.681758207509,
      -279.453087706482,
      -169.243447699304,
      -191.537646340058,
      -253.316117039656,
      -190.165380810881,
      -279.439761350262,
      -297.222942784609,
      -195.394880829234,
      -335.737364917822,
      -289.967944819402,
      -193.198032717006,
      -378.464705477476,
      -267.777902263242,
      -146.39176691526,
      -384.795739754295,
      -181.384809467837,
      -267.1079154725,
      -302.819356075779,
      -255.166684951033,
      -189.478566663882,
      -326.342427172775,
      -162.573082176628,
      -173.371152554752,
      -354.459209960979,
      -137.871189624798,
      -185.861227516815,
      -224.135267092455,
      -144.642182609781,
      -298.745590921864,
      -360.95612258264,
      -204.588781613027,
      -264.689037624516,
      -212.143144305671,
      -239.644862156172,
      -365.050113027601,
      -136.442554687093,
      -167.734481725436,
      -294.792068359288,
      -100.057444532933,
      -319.422505268661,
      -370.187317927343,
      -221.048435452313,
      -196.353859984887,
      -333.842858616564,
      -156.494243032331,
      -179.036436546901,
      -335.612927607798,
      -128.161963817269,
      -214.364365437584,
      -239.604123728824,
      -147.695267908388,
      -315.748835601467,
      -291.212235501454,
      -207.596508377692,
      -311.509891822935,
      -159.151628883737,
      -266.876909242151,
      -349.452668519241,
      -145.128057274265,
      -183.470349499005,
      -205.153234570788,
      -92.5610840946661,
      -224.938712229366,
      -296.963608860131,
      -205.957637670116,
      -275.847703774136,
      -224.680602841343,
      -97.0766882283404,
      -101.802444997123,
      -177.447433529471,
      -121.567024933233,
      -131.065160190213,
      -333.020947369166,
      -79.668338330891,
      -110.645456607234,
      -136.166725618217,
      -120.656958639969,
      -257.895384208898,
      -110.076974253725,
      -78.1822759433591,
      -161.056761973125,
      -114.502739675549,
      -112.672069452634,
      -364.56810686741,
      -136.269902010257,
      -26.0538402891616,
      -140.577769780571,
      -107.854377241695,
      -216.484294732716,
      -205.35413823021,
      -75.6411903687447,
      -132.468421537143,
      -171.228541231555,
      -127.924456587493,
      -172.168741351854,
      -246.290518299021,
      -98.8286696814527,
      -116.151661483004,
      -134.020628784127,
      -110.795130634746,
      -252.840301792204,
      -104.029912582288,
      -91.5696726429815,
      -159.735831631891,
      -125.773687408573,
      -90.6222849893618,
      -375.036394731892,
      -118.068995212153,
      -34.6479992928031,
      -139.44875948468,
      -99.2352265731279,
      -225.950962313352,
      -185.578063408498,
      -167.47500467118,
      -401.744077404887,
      -325.209656253782,
      -125.373170101477,
      -134.76415464342,
      -133.800592299634,
      -317.910615442776,
      -355.874901359589,
      -300.322428751629,
      -273.77100531778,
      -357.491690513897,
      -164.894781386101,
      -271.226400972305,
      -291.616832239154,
      -176.549734116077,
      -160.734105864255,
      -281.157501046846,
      -148.761668894838,
      -365.205381264643,
      -146.253058405332,
      -240.520667044051,
      -302.256466630424,
      -140.049186775897,
      -217.426630865961,
      -427.242142985249,
      -265.830768816154,
      -114.461354727703,
      -148.239711288284,
      -172.086588413902,
      -355.353591322276,
      -348.218208776445,
      -278.110717805894,
      -266.07780221895,
      -358.602182404747,
      -150.448882088948,
      -270.655855119213,
      -283.3260216991,
      -157.839528951933,
      -215.805574165052,
      -275.686928194666,
      -161.098977152455,
      -375.812581584548,
      -88.3629051489124,
      -253.463156793056,
      -403.837533885343,
      -222.356339876477,
      -259.751756072985,
      -266.995167250356,
      -189.479088328559,
      -111.530636243106,
      -312.142585387102,
      -229.342545110187,
      -336.906925380688,
      -403.419689009861,
      -194.504119055658,
      -186.462300959036,
      -314.090637278976,
      -178.371893878816,
      -324.616160790658,
      -217.531596811575,
      -76.4716650673263,
      -308.240397310693,
      -239.39619619145,
      -256.943860256903,
      -401.521478102563,
      -284.041506489633,
      -160.639319456906,
      -422.42200023112,
      -223.226286389489,
      -229.609686673275,
      -298.994651829927,
      -183.452070065062,
      -103.951342616392,
      -344.173516865379,
      -221.505048819361,
      -300.442970887485,
      -402.538689806649,
      -182.183849109962,
      -233.860990119661,
      -296.548138915815,
      -180.005776357634,
      -317.821542464967,
      -199.307366841251,
      -91.5612934449754,
      -245.182506148175,
      -191.35203393923,
      -226.051996513574,
      -338.193783463216,
      -200.415961381191,
      -197.333748910042,
      -268.129407593511,
      -139.947436677288,
      -95.3686989004922,
      -173.967028370093,
      -114.543654530234,
      -117.802957274488,
      -306.325657958142,
      -122.398091511374,
      -68.8996065159578,
      -203.245883693493,
      -102.444621761436,
      -231.679066910421,
      -188.40590581028,
      -47.2511332725764,
      -142.834665752651,
      -136.358575905965,
      -136.48692589851,
      -208.81898493995,
      -171.663369686481,
      -123.467673157813,
      -122.199263603391,
      -131.268077254204,
      -148.70182025402,
      -272.772870368407,
      -121.07863509543,
      -85.3673148278757,
      -179.728123529261,
      -132.421998317222,
      -91.8683410125057,
      -331.766281206608,
      -93.740370649011,
      -100.644828203783,
      -211.751697480627,
      -96.8077091821091,
      -219.242901627917,
      -147.376906408722,
      -64.3682175139559,
      -173.608507164717,
      -114.815737372356,
      -135.099655596551,
      -238.43432340033,
      -251.508893178503,
      -52.6004124225299,
      -92.9087071406463,
      -106.058259215752,
      -176.609218773597,
      -632.223960848931,
      -750.863453317908,
      -618.660053296108,
      -439.626282167991,
      -304.644082389281,
      -517.092044263188,
      -475.074001625885,
      -142.234230132699,
      -247.283369004363,
      -391.568391965036,
      -584.191895099905,
      -497.96103320972,
      -414.718583632558,
      -417.05579239746,
      -385.888927057771,
      -560.100741119903,
      -408.901419906078,
      -416.963746415403,
      -435.783334268961,
      -358.79488084617,
      -241.726896417447,
      -234.974876204309,
      -245.932919464793,
      -269.681472015062,
      -164.811531939754,
      -258.589834357993,
      -332.440216598269,
      -218.53107827908,
      -229.769335632013,
      -230.740976238271,
      -254.07697923176,
      -354.322257996724,
      -305.073041846486,
      -290.198303748505,
      -280.797638598834,
      -156.046736516594,
      -267.437656355741,
      -331.105999654155,
      -179.001790164333,
      -206.445828743149,
      -271.961537975097,
      -152.612222202873,
      -330.064077236815,
      -395.610244623899,
      -314.215910664808,
      -401.964086846063,
      -212.873221983041,
      -95.4108108718659,
      -140.787576778111,
      -176.60783503525,
      -139.561385917873,
      -170.345867145534,
      -258.156795368887,
      -101.042919687133,
      -135.192504560687,
      -145.109274341009,
      -120.051084777507,
      -266.331814181325,
      -115.393627853934,
      -97.6962451396196,
      -173.231708161573,
      -122.260241728082,
      -105.315214834714,
      -304.38908404892,
      -131.161928928712,
      -81.6434612971851,
      -210.643411223575,
      -107.956732095563,
      -257.639853043726,
      -215.382420949542,
      -62.7669501696591,
      -163.694194626096,
      -148.369702057519,
      -157.790628413222,
      -217.783320179472,
      -187.5434374782,
      -126.982615297143,
      -129.256659827589,
      -146.616923397981,
      -135.089654596539,
      -267.407608889121,
      -102.835490994693,
      -93.8990178432273,
      -177.245225151448,
      -142.592280959742,
      -68.2247115110386,
      -416.578243940648,
      -105.255572764269,
      -80.2236512066389,
      -148.122895039688,
      -107.206545897181,
      -347.206106090467,
      -502.722295409334,
      -569.011784387554,
      -642.109929830354,
      -506.719727613513,
      -621.670002981701,
      -574.50159418141,
      -452.021520158285,
      -560.590056751944,
      -507.788342022701,
      -456.814565975585,
      -573.040197373336,
      -576.029781805183,
      -470.420408853097,
      -537.72167029535,
      -575.0605606132,
      -480.802460634498,
      -608.210925790647,
      -668.361841081368,
      -511.400038994334,
      -606.587771950437,
      -558.874958617615,
      -570.388293803931,
      -908.598406706385,
      -1119.26086178177,
      -1177.10507417447,
      -1183.60287703104,
      -1186.37715343436,
      -1187.31585293036,
      -1187.31585293036,
      0,
      248.500449772573,
      358.857411181781,
      359.055308062786,
      363.016550413315,
      356.898236511658,
      355.796681211504,
      366.810309919498,
      349.172555169473,
      355.806944985386,
      389.01121728313,
      376.814036176953,
      380.982181292256,
      364.773692751585,
      356.733166081068,
      356.527736224088,
      356.78880998853,
      360.749282868616,
      359.840489699626,
      361.976937469,
      358.003730198732,
      358.968688163944,
      323.070563648438,
      274.893456896937,
      274.197434056493,
      239.787012176894,
      229.679217632102,
      271.883302349454,
      226.281783877945,
      154.171164796343,
      238.190694769117,
      225.458627566885,
      239.219392278496,
      202.631393486491,
      244.27517949688,
      262.879600300703,
      286.241078055868,
      260.820350804727,
      294.981551647301,
      269.355360877546,
      250.549765144159,
      311.238745902023,
      238.978142356139,
      238.086410864903,
      208.092339070164,
      232.555666472493,
      239.42959676729,
      282.050264047785,
      239.516888120716,
      235.44709556327,
      277.610677354476,
      211.990762853487,
      165.956108564166,
      223.399004265045,
      238.863957107863,
      235.073262999072,
      202.41940021032,
      236.158286855415,
      287.216242910593,
      274.976584926684,
      263.190404447047,
      295.511156922393,
      255.590657427831,
      253.789784667611,
      320.354429563818,
      220.867727816142,
      212.187371688443,
      233.345889702326,
      228.814299492701,
      139.039045512016,
      225.679949950812,
      191.553755885826,
      146.419638073914,
      243.449130871469,
      196.128806278812,
      199.678962698417,
      200.541983314945,
      187.318782988321,
      233.571451792784,
      256.362347688798,
      235.224553207602,
      280.95632554225,
      230.548738542113,
      277.520708274117,
      285.229432149146,
      212.452360085433,
      242.389939846892,
      259.823980067351,
      193.789587643535,
      246.461286478399,
      294.733010641556,
      247.486829764872,
      156.965711760805,
      234.934405360565,
      181.677711170188,
      152.831923804133,
      229.040399488285,
      195.649311921488,
      220.259754672472,
      206.343911994192,
      173.734572868834,
      244.350204497501,
      240.992237486797,
      234.994496125763,
      294.35535402407,
      218.32130650791,
      275.75818503164,
      284.396851854593,
      218.143121757286,
      247.06003975652,
      238.673293296087,
      180.047222536497,
      240.681124271922,
      286.008465361088,
      250.553842341558,
      213.406848137871,
      301.401263051975,
      233.093981524219,
      260.421404066419,
      270.954989152111,
      253.068520373167,
      213.914415720152,
      265.31929195991,
      273.672164552053,
      218.458039779429,
      258.600622805028,
      243.369310539465,
      309.749856443774,
      266.924605479648,
      235.855972717511,
      278.860234556173,
      246.914034055156,
      243.976394973392,
      272.396236830353,
      230.931848183739,
      229.700428395902,
      266.376585895728,
      263.175203884267,
      252.121699964764,
      292.625738906048,
      228.870444429672,
      273.347175747697,
      271.67375579804,
      252.777290727771,
      217.391166975078,
      250.612537561838,
      272.155556177921,
      217.434461637574,
      266.718070536513,
      235.015153262221,
      314.904251835688,
      261.011292722789,
      246.991236966104,
      274.234839535735,
      250.517924398554,
      228.330631249471,
      271.157877837245,
      249.193921778038,
      228.69149872051,
      260.627160317043,
      253.979154786543,
      264.155673415019,
      152.00946618163,
      184.954409985166,
      277.153665700949,
      238.164567873862,
      176.966572737674,
      66.0969713774852,
      141.966756924192,
      206.924897178437,
      266.747877884138,
      243.2971801046,
      247.902605847912,
      297.207034293192,
      202.242159198672,
      255.614480662031,
      225.97296310889,
      228.753868370109,
      206.45803668641,
      205.926064806996,
      188.1136661376,
      236.933061983465,
      27.7868349332532,
      213.407872179497,
      276.969787122772,
      140.989064929166,
      189.724425633418,
      281.90265171458,
      224.609309359068,
      158.575664508308,
      73.6444115257351,
      157.947529098241,
      216.744774346518,
      262.758703071656,
      239.500106872346,
      257.45274695078,
      288.60185217103,
      206.181586327959,
      247.076752265165,
      212.75212514652,
      235.120220547744,
      207.462239099178,
      207.418950431242,
      183.72492735343,
      244.503764640777,
      21.6962592608003,
      215.668919142657,
      291.154085767679,
      232.800877939814,
      231.884827209184,
      204.493022901499,
      243.03687995432,
      112.003524496346,
      267.213974627949,
      238.449703596581,
      237.976211785271,
      324.57928882481,
      219.348943497679,
      183.538479843348,
      273.681211506291,
      229.906589628498,
      274.01188579921,
      168.856825452406,
      186.904057841833,
      267.883613828041,
      235.818311264732,
      251.171934309656,
      268.079136465889,
      267.661719191637,
      180.860119983604,
      286.483326437879,
      233.739259874287,
      201.663921471169,
      233.912646274844,
      232.726523005655,
      125.908237901804,
      277.999190212899,
      242.659079156221,
      225.300165219966,
      316.102988277699,
      197.508975793925,
      231.278350969058,
      255.461295284529,
      230.012285182913,
      275.31770134562,
      165.043477986666,
      202.92336449179,
      246.48855617128,
      239.785526591634,
      227.299016964048,
      289.584023466204,
      256.102717908638,
      164.921435165499,
      277.31899284745,
      258.019711256479,
      242.2578417653,
      278.357070657913,
      249.960167947862,
      229.898940570127,
      246.329691017441,
      254.010503109327,
      224.99484698168,
      259.200196251809,
      258.079936241463,
      276.057476887142,
      293.057050131794,
      229.159420155846,
      274.145538871541,
      263.39093133652,
      261.623012484406,
      231.167812837661,
      247.480871970557,
      258.336367845075,
      219.368387293786,
      270.403453780427,
      221.91339684246,
      319.980674812598,
      251.245596730274,
      241.383774283697,
      276.968628314438,
      257.548941798837,
      207.602142714363,
      242.076561821176,
      272.022828316834,
      231.778090660032,
      261.390767579535,
      253.794306387013,
      283.801825401807,
      277.89402233736,
      241.113639391106,
      283.94971946573,
      254.796009227181,
      256.21638380654,
      242.287591417336,
      254.992034517313,
      236.180829661232,
      246.143946290074,
      258.094130844363,
      246.893524245303,
      381.507465956741,
      356.338514571482,
      350.063641416663,
      300.28322203066,
      196.536237156323,
      280.296907605459,
      273.272022352195,
      52.333999794362,
      249.772432392217,
      266.520715096199,
      340.621083299748,
      263.843988175841,
      232.756069560926,
      218.305611063025,
      230.830518322721,
      309.55935096374,
      252.757238062467,
      299.90811510023,
      273.338460786934,
      175.733017513103,
      77.646942080891,
      147.58772771614,
      287.9193095685,
      217.220665653842,
      207.496634664236,
      189.787382932059,
      234.445811761017,
      220.974648042021,
      147.87450717829,
      200.311425087772,
      229.424527345193,
      264.578276274981,
      269.59171567859,
      213.750651253433,
      183.799855373278,
      166.139537047381,
      171.400044041946,
      258.146054983328,
      231.12562250928,
      192.807841222003,
      168.066573851501,
      171.11325265304,
      236.343838214913,
      290.379691858605,
      243.638498179041,
      255.334365464824,
      289.061900069335,
      231.291576173588,
      273.546254685829,
      270.276060200387,
      253.856990038167,
      214.11704428633,
      249.182357053254,
      265.73576484858,
      214.502409429328,
      264.968893853515,
      230.327561148022,
      315.653702312361,
      260.424881761389,
      244.317665925186,
      274.858511853778,
      249.412230491462,
      231.946275792888,
      253.829598669796,
      244.282616695055,
      231.357469252307,
      259.14383477097,
      255.492916590119,
      267.243712456246,
      286.151850029322,
      223.253507115961,
      274.901994735723,
      265.330190151407,
      255.296839675911,
      228.522830213333,
      241.356209366505,
      261.722564648542,
      218.613914974072,
      269.401539267717,
      232.956709106098,
      328.256703165867,
      248.801057675837,
      248.475054191908,
      276.164809474487,
      254.700584782472,
      209.498858082436,
      272.704436475575,
      265.268700698329,
      239.465967864732,
      264.2647755454,
      244.621581579909,
      283.38011218727,
      349.604320981573,
      320.129144349987,
      331.034540938826,
      316.871792990628,
      344.516563365622,
      336.40636245264,
      307.914244912064,
      319.677339436483,
      329.463583921522,
      314.787472668543,
      358.79070083621,
      374.716196543095,
      312.227745518886,
      371.960703152298,
      373.025799924589,
      315.949052641265,
      356.622919454778,
      330.720504497892,
      307.961674658376,
      354.957934359014,
      371.172450882338,
      321.895917685584,
      230.556842451633,
      72.9845122245049,
      13.0912869416096,
      5.24938937144377,
      1.3272041267282,
      0,
      0,
      -2.43480550949434e-14,
      64.7542068590053,
      96.223420003834,
      89.7565055345233,
      94.880295306976,
      101.585152326859,
      93.352118655323,
      93.5625793504225,
      99.1889966106499,
      94.8578889173777,
      118.187027396875,
      127.285517460498,
      103.676235939738,
      100.132999451419,
      106.975578358935,
      112.279281338508,
      101.722424403444,
      106.993683284799,
      110.248481060658,
      108.680789804951,
      98.2772762275959,
      119.172666160551,
      71.9184583326291,
      0.632485766805634,
      52.856252645109,
      -7.76864278615672,
      26.7720328155509,
      28.2040644690182,
      0.893688115971304,
      43.6771909244187,
      16.3916695335924,
      -1.85024707858826,
      17.1787849546748,
      71.4513708955997,
      20.2167180235634,
      44.7105732683255,
      43.6239998274309,
      4.82049498134717,
      53.5769067569501,
      56.923766977453,
      -0.881256682616493,
      54.4483214084477,
      20.7017811053832,
      23.7644276906523,
      64.8283637742842,
      43.5479122347437,
      65.2305186919561,
      49.8889181203315,
      -1.69614062773223,
      32.8829239252811,
      29.1317872486839,
      6.98027089656087,
      42.183040468265,
      9.72325554349669,
      -1.74730275991087,
      18.8227690273175,
      76.1063810127733,
      17.1043826604628,
      49.86710577264,
      35.3255788362093,
      14.1222396760972,
      58.5622946009883,
      35.6693722925454,
      8.20269152847714,
      56.3314594487014,
      12.5161827916159,
      36.562257298559,
      62.4907078279504,
      46.7664295527883,
      10.2636378464643,
      62.5599870076753,
      3.72836756353908,
      23.0790127699814,
      36.489978984771,
      -28.4240483540612,
      23.6599879026071,
      28.4331808744845,
      -6.81858745339556,
      46.9128091923394,
      47.7233463797571,
      17.9514000071145,
      47.2145118841658,
      36.3051598979172,
      41.8298422447176,
      67.9897431014932,
      5.65251566278664,
      19.5754650661329,
      56.5315736849343,
      5.59456404329128,
      48.4693562379097,
      59.5258981114713,
      22.6320280778561,
      22.1746958618898,
      54.6985543368968,
      9.80279879181017,
      19.0471362699574,
      33.52356525982,
      -28.2978126447309,
      25.7881345546803,
      30.2231575634178,
      -1.45392148609751,
      56.5118225699183,
      31.7733488926595,
      17.1016943488909,
      56.5812188535704,
      13.0667005428622,
      55.7931994103176,
      56.776005226434,
      11.8305736047783,
      28.6497204338338,
      45.0202895113564,
      -1.64161856802003,
      27.4832330818496,
      42.0614652859489,
      26.5658313670269,
      39.3569641349838,
      4.34708367062995,
      -23.4551602802352,
      -12.9320763767385,
      -3.61135747403995,
      -16.1149816772947,
      -41.6464212943485,
      28.2382656010582,
      -55.095967061553,
      -21.0683175085832,
      -18.7800604092034,
      -21.7424976681997,
      24.60092639258,
      -23.3068472983376,
      -12.0704789852132,
      -11.0888399517615,
      -10.1351457019489,
      -24.1311366006336,
      16.8519841838667,
      -28.9117825441528,
      -37.4175988050753,
      -19.3117836532712,
      -27.9520299426011,
      14.7477422154158,
      -1.48323812243623,
      -23.4547521866885,
      -15.7373968407971,
      -6.38785747417408,
      -18.1187720879355,
      -31.3447102387111,
      7.61903163375942,
      -49.2488595613836,
      -25.1266351789651,
      -17.7508178708819,
      -17.9616247158874,
      29.3359320028772,
      -25.0409699646338,
      -14.7656854411437,
      -6.31814945599641,
      -7.63349149732666,
      -40.0520624560513,
      28.1025234710051,
      -38.4206213082125,
      -25.5801752981277,
      -8.83434376286073,
      -31.9807372347696,
      23.3485679818331,
      35.7531596635142,
      1.00773063029032,
      52.3962053006339,
      25.0259688099919,
      -6.41140067977962,
      22.4747115023437,
      13.6785779103363,
      51.7535922933128,
      38.7731970885902,
      26.7399216834807,
      33.8799649366866,
      65.1825154375709,
      17.2641841639144,
      30.4523231191916,
      77.0673459461255,
      19.5087546931056,
      25.5532207832062,
      39.231925134571,
      25.1690716662073,
      83.4977644834239,
      76.8031875658086,
      29.9123858681083,
      42.93553800459,
      17.9342844725061,
      15.2484670732572,
      54.2961996339268,
      9.08879074686699,
      0.126830683231541,
      34.3101956245463,
      16.3416781987484,
      59.1619441937319,
      38.9578282699302,
      22.7960426962679,
      37.1557762022354,
      54.2681743911422,
      5.02323534035657,
      38.7615409158333,
      73.4707405632195,
      15.2246016491818,
      38.6825671212292,
      45.9397493223905,
      29.7790088511651,
      87.2353751637452,
      61.3686028519225,
      29.2032596905059,
      63.4291570551414,
      24.1474336394382,
      45.0782701512934,
      62.6296959756026,
      16.4484440484204,
      29.9236364841821,
      37.871260251644,
      14.8205949757557,
      59.2425068215243,
      65.7853261159566,
      31.0054076933788,
      46.8878758013312,
      83.0485144528784,
      32.5080737960855,
      58.3754090535108,
      49.1609315991868,
      14.9135400469363,
      73.8750434582052,
      45.0706258927367,
      17.2062737468088,
      88.9842208782323,
      40.4833865645133,
      16.7663978370493,
      75.2870736369718,
      16.565379776864,
      52.1895692349871,
      61.4926216736967,
      21.6337784844372,
      20.4109797865075,
      40.6678486660545,
      13.9974821755349,
      50.8372496628321,
      63.5844891816054,
      37.1547192045906,
      57.7556509846911,
      79.1854582773874,
      34.8417921908037,
      62.041909784669,
      35.5011232541779,
      20.1242963963394,
      56.6293635267262,
      26.1467871535641,
      20.496112468376,
      74.0815733522374,
      22.4315305744717,
      45.5401375134571,
      42.2397701823021,
      -17.5317431646391,
      -14.9697436271108,
      -5.29719151215685,
      -15.0479500098019,
      -33.4260891380478,
      5.99098719785956,
      -42.7648130436974,
      -21.067047800699,
      -2.25006625810848,
      -27.6696517526647,
      25.4516738313246,
      3.22845869844941,
      -29.9218910415566,
      -15.9274348317173,
      -11.2315272686264,
      -9.60738740911978,
      -28.6005055360488,
      -5.1085843858351,
      -35.2218761192876,
      -18.5240179606246,
      -16.8380143516768,
      -10.7468261385939,
      19.9457943167388,
      -25.5590934122649,
      -7.23028407168169,
      -3.64472299926709,
      -15.367173140317,
      -36.1519948695267,
      23.0018009749483,
      -53.1977686790479,
      -13.5255599631203,
      -1.43905126078568,
      -27.7695202535362,
      17.8293553328059,
      -6.12045148052319,
      -32.637941621926,
      -14.7425865791268,
      -12.5430333099489,
      -13.96565555156,
      -14.3271317465087,
      1.25999773621956,
      -43.049171708179,
      -29.8278213366663,
      -12.2126562243286,
      -0.801153205582939,
      61.1632948088384,
      101.851535370116,
      94.5706339920441,
      127.465387530771,
      88.957405025578,
      119.408887864135,
      116.645149403363,
      10.3619472649081,
      36.1807739399672,
      100.918620419454,
      137.878319207317,
      139.009028171737,
      112.007766313133,
      43.1003944389473,
      81.3938859775284,
      83.7017496107206,
      102.060478863007,
      99.7397777521193,
      97.9937821868995,
      104.691640883062,
      66.5818053698351,
      37.1264461060159,
      46.8133703317425,
      109.72300448848,
      52.6223914071223,
      84.9406359654096,
      86.7467223950726,
      23.717976328809,
      65.3997787175437,
      54.5568529929939,
      50.1189688997454,
      71.0695035984209,
      52.7018111838624,
      48.5938420611075,
      83.5555971544279,
      44.3197177917663,
      89.0331490105196,
      72.9064253889976,
      30.8387964157473,
      47.1507360727729,
      68.4360018108978,
      32.3262519932451,
      67.3022275425659,
      85.7060393784589,
      54.5928529045808,
      58.7524554536038,
      3.20353211347452,
      -19.4719293361738,
      -13.4559734015217,
      -2.96169493578675,
      -16.2026434647946,
      -30.9419568962832,
      11.0086397581061,
      -45.4274155991572,
      -12.9838351706532,
      -16.4660727152272,
      -12.691155303097,
      28.218698266461,
      -28.180805549609,
      -11.4500069548977,
      -5.04895338630255,
      -13.8055217612189,
      -27.7260245437723,
      4.4685345102149,
      -39.1478479734384,
      -20.1041822984312,
      2.86258876042888,
      -29.9870642508007,
      25.3828863545069,
      4.44451793220529,
      -26.5100581709201,
      -7.11286347390027,
      -6.88765484252284,
      -9.91636025744866,
      -34.8703588285377,
      -2.9673827261392,
      -31.73969341483,
      -19.371364027307,
      -10.5954790368437,
      -3.67244994244685,
      25.9300577243973,
      -30.688875201783,
      -9.00513954508828,
      -4.95174893950648,
      -9.90493292749323,
      -42.4163656798459,
      38.8807790634918,
      -49.7084587258599,
      -19.1801263965992,
      -4.8175879328095,
      -30.1624041521334,
      9.5392310000392,
      18.6220864269666,
      31.2656379229023,
      46.1378336144259,
      25.3135074595069,
      45.5649803431813,
      29.3500791555393,
      -3.0273543277365,
      11.547980118922,
      17.5384311734067,
      5.75499366901047,
      47.9131131034326,
      41.1373757645027,
      -7.97837189865402,
      30.9262756444622,
      35.5206565754391,
      13.0204787390213,
      47.1994683670394,
      42.0409234754465,
      8.23138974259613,
      45.6592264573857,
      55.7193064667548,
      32.8364181091672,
      49.3115997966055,
      23.5825312387882,
      9.92185411538631,
      5.24473692446925,
      1.32625212462718,
      -2.43480550949434e-14,
      -2.43480550949434e-14,
      -1.6232068497581e-14,
      6.10728637139652,
      16.0114155274665,
      14.1134576479934,
      9.93796873459748,
      18.8503865980627,
      10.018004805167,
      15.7354072495966,
      16.9851701243758,
      11.1477742967696,
      24.7053722839165,
      27.0922977993614,
      23.5860855393428,
      8.14362817692539,
      18.4866277510205,
      27.0138779511896,
      8.85181303815217,
      19.0336362709995,
      21.1003092772147,
      19.8178567491614,
      13.2646633504085,
      23.2186228121252,
      30.5317964547782,
      50.2857675503194,
      34.5736349434988,
      50.6444773118712,
      48.0004340334111,
      42.4929098553382,
      63.1429492699931,
      59.8037928185501,
      41.3767529784337,
      59.5434033945883,
      53.7385061571833,
      50.0320812257906,
      47.7461876972901,
      35.4556000005271,
      37.1850972449986,
      66.4853365762518,
      46.8382804629434,
      52.3063159441777,
      38.0616205621148,
      42.344671851859,
      65.7257442348072,
      66.5547172108102,
      51.1661153340336,
      67.6225382336159,
      76.5237672172327,
      42.0314370047719,
      54.6618787189381,
      45.5595690498388,
      47.0292534103379,
      62.9691100244,
      56.9014212791393,
      38.2812102663699,
      52.999140284257,
      44.1301292118557,
      53.1369069581881,
      53.1314017549334,
      37.2119343407955,
      48.1589516550124,
      62.254839701822,
      48.9556395122168,
      55.3738735622141,
      39.5139694281333,
      33.7606045366613,
      73.1118924852748,
      68.0620808884061,
      54.4370385262789,
      68.6598450794386,
      62.1105367469019,
      79.5881152637273,
      79.949586714218,
      74.9288196918967,
      65.2564015974289,
      63.1680700024826,
      53.4938134717106,
      66.7247045880933,
      59.0489406262583,
      72.788414417273,
      65.7836904230732,
      65.9490646684078,
      32.4867420325333,
      68.8958945259486,
      61.3845407686591,
      42.0964048224061,
      58.8673018502364,
      36.2008694938059,
      54.0549797242691,
      68.1491401444886,
      69.2874301843252,
      50.2675667150036,
      68.6770145019935,
      74.8540716046001,
      66.94796059962,
      70.3896863402983,
      72.1362918977408,
      70.7669619071257,
      60.3465907884986,
      48.6539978350508,
      69.3373133822359,
      70.9299801079933,
      78.8400810568754,
      62.8817798392576,
      53.3726261861742,
      36.4201374772485,
      68.2367566934441,
      68.5489846543229,
      35.5187295496625,
      58.7034272885302,
      37.8784611515969,
      69.4068829541447,
      76.824720135584,
      58.8055079449241,
      47.2489784603017,
      61.8694756311564,
      65.4325554928208,
      23.4939397295782,
      18.2460045264324,
      71.840357433687,
      58.8078354830575,
      55.1766539162033,
      51.3122240130299,
      32.3264496632291,
      49.6310733955012,
      25.9026785328263,
      17.4018319698256,
      17.4204030039826,
      20.5886202370168,
      17.9796005244486,
      52.0329794511316,
      69.1162963167759,
      68.5127514190129,
      40.6787766988309,
      36.4531904175598,
      59.8167565104618,
      41.6243083876217,
      6.02451597172563,
      15.8778953524356,
      20.9319990263577,
      22.7165512550403,
      29.8171708010413,
      69.8189384113366,
      60.066012987156,
      49.7049169314849,
      55.5987059164439,
      40.2013177524407,
      45.7840916393881,
      22.0367232636858,
      18.3017882169467,
      12.1209940163503,
      24.1273151801164,
      14.2544353692976,
      59.9876968642134,
      71.851469550672,
      68.3465526892366,
      41.9091915085239,
      37.2602206434581,
      56.1141462781181,
      35.0825525095142,
      11.8211935654556,
      22.1434686437812,
      22.4536499539292,
      66.011507883302,
      83.5634087053743,
      55.8736095291354,
      44.8517874977339,
      53.4285399250251,
      86.5785483369212,
      86.9760659852635,
      80.626916947791,
      45.1304510245023,
      59.108933967268,
      60.586345096533,
      54.5840065932741,
      56.3693321351694,
      49.9696354114663,
      21.7142834753652,
      53.1549414630257,
      41.4979841151258,
      58.6555437105162,
      84.3112516439971,
      77.4727520049962,
      112.924928276666,
      73.4966338745745,
      40.5723651551444,
      71.7598983621493,
      78.617615941765,
      46.7869709233504,
      57.519216524352,
      54.7375789246087,
      86.978526142163,
      85.1521766037638,
      76.2647234542684,
      49.7122457415096,
      68.1877199434365,
      55.518501917339,
      43.4550656483507,
      50.2074984687438,
      49.691789536829,
      31.5281624184434,
      51.2837636147558,
      47.9302379483438,
      61.7839953149778,
      85.7847381467306,
      84.5198818960391,
      110.391562500627,
      62.2794580901104,
      49.0095921173671,
      62.8202660535298,
      78.2297946110622,
      60.4075635671875,
      56.9550308222941,
      77.7383205539542,
      44.2405948871748,
      57.9354529318541,
      64.1735249373006,
      49.2853367773287,
      75.4028259998915,
      79.3738109450635,
      66.700735060922,
      61.1192550430951,
      54.1795894567697,
      66.569213412429,
      70.3867334949814,
      81.7599548238929,
      56.107987827327,
      59.1205385064262,
      63.8855951275235,
      55.4391957741582,
      75.0667504242697,
      61.0302141987258,
      65.0209080047198,
      88.3926727067946,
      66.2480547229922,
      61.7189699875501,
      66.8694360257038,
      44.6076044391004,
      59.793411030695,
      68.4623304599196,
      45.0999445404579,
      74.490691958881,
      74.9575142824938,
      73.1666709584397,
      63.0555245588737,
      56.2648929348562,
      57.2972466350535,
      75.4711553919898,
      75.7550112461702,
      53.3613678960839,
      57.6145637877835,
      53.0123338561344,
      59.8552245116004,
      85.8000454081892,
      46.134529433792,
      12.9909647706062,
      60.5540865694488,
      71.5859700612317,
      63.591539928334,
      46.0026867150007,
      36.4237702238927,
      45.932043782641,
      40.9763129152378,
      16.5596089703071,
      19.0926768775914,
      22.747448072245,
      24.3447965259764,
      36.6592342890843,
      65.7049955906955,
      66.6116121006586,
      39.8764115911783,
      46.823227523513,
      55.2633030663891,
      56.1256205884815,
      23.4090866577545,
      29.0315347649324,
      15.82861408735,
      29.2024464393235,
      15.6883113891191,
      68.9723793123623,
      74.1714915591036,
      54.1550415239526,
      51.3884730032737,
      40.7037864882387,
      46.0687537741708,
      33.1116026607234,
      13.4628800458719,
      23.2699937893308,
      25.7573225299239,
      26.2485323142048,
      44.9433556383858,
      56.290896471357,
      69.7434323189511,
      45.4532027099186,
      49.8257832897213,
      50.1129471765772,
      50.8954621894487,
      9.11244947884008,
      24.2990559797347,
      15.0383220775933,
      -6.99127618434184,
      16.5389140668895,
      36.4954565151769,
      49.6938524229116,
      63.3837189574414,
      67.0843370113758,
      81.061478911633,
      108.100582742101,
      54.0018254887021,
      52.8614965493154,
      58.2666679765154,
      74.8929530716483,
      52.3607375532534,
      67.8267199065063,
      28.2117243874082,
      44.18100190616,
      75.0404275507428,
      62.2177490909761,
      62.6516518564973,
      80.5622938398692,
      117.304108601005,
      99.4488735028959,
      65.9974239171187,
      78.1135618608649,
      81.9671653814552,
      81.6584416654065,
      76.6179347801458,
      68.6257125364932,
      82.9125046904149,
      76.1939731379378,
      62.5204615457694,
      34.2260748750759,
      46.8275589673268,
      79.0531366813802,
      51.1404991667796,
      66.8563929171892,
      91.8525689511102,
      61.7725065549468,
      67.2810966657395,
      70.4067299840377,
      79.9407738566225,
      78.3172352264231,
      70.9395733565387,
      57.8731739955486,
      76.103819686112,
      64.757063274625,
      23.4609096249111,
      32.4074968436823,
      70.4387368962425,
      56.9642868684959,
      49.1517629704504,
      53.4879088327385,
      38.4507602826402,
      50.632279187994,
      22.5695846880751,
      15.3862765492455,
      14.7105678216332,
      26.4094328073125,
      19.9994218648034,
      57.152720409506,
      73.341072624178,
      62.8742505181825,
      46.0705272266348,
      38.230674670011,
      53.7044450745704,
      43.2604048034508,
      16.4028684048532,
      26.0119115437127,
      18.6216344359912,
      20.095394335885,
      39.9791817253554,
      66.2683400002225,
      63.4540247612989,
      38.4472121057424,
      51.0493385243582,
      45.4998066608984,
      44.6013080354579,
      20.8342153305324,
      17.6055140499667,
      14.9518928445375,
      23.8269449690396,
      17.995473956419,
      64.3231627683783,
      68.9733370600474,
      62.1466980848863,
      46.0151242901992,
      41.2169643689533,
      54.8503291599987,
      29.1318751814854,
      13.0243784370282,
      26.3753987561695,
      -14.9266816482804,
      -29.7626639359031,
      -14.2844536133614,
      -32.536694270616,
      -14.6062108254901,
      -21.2192755541138,
      -35.16752310382,
      -17.4915127333669,
      -42.9195872833105,
      -44.0674143871758,
      -16.5897150905449,
      -21.1910766496797,
      -28.3966765490494,
      -14.7448001896688,
      -25.0101486202196,
      -22.4538436940781,
      -6.08158211730979,
      -19.4240554013588,
      -31.5249581064909,
      -7.42140533291199,
      -22.2637779764386,
      -8.86837864129741,
      -7.13941959704116,
      -38.73026072269,
      -17.2919967711695,
      6.85735986775455,
      5.23698970654319,
      1.32466642884408,
      -1.6232068497581e-14,
      -1.6232068497581e-14,
      0,
      -6.70390124784254,
      -6.37328689613041,
      -8.13508994642602,
      -5.05980262140197,
      -1.77109947297785,
      -5.83042697249004,
      -7.89321941465318,
      -2.1290722709174,
      -1.90169090440648,
      -5.83836502578905,
      1.72474845988782,
      -6.79576858953699,
      -8.47921149597364,
      3.65223599175137,
      0.262249845054192,
      -5.741680271879,
      0.919238307459373,
      1.48773109461039,
      0.448889459092474,
      -4.79182191805788,
      4.35388873580149,
      -9.00994841228221,
      -44.9038806808095,
      -54.4550214996027,
      -65.2781222718926,
      -68.9834782919676,
      -64.2357565484232,
      -58.6537067423363,
      -59.1775236140967,
      -49.1189973025851,
      -60.0815943339081,
      -57.2905932896826,
      -53.2403484602305,
      -55.4820200047209,
      -58.5959861038494,
      -57.0684444380253,
      -66.2367360305864,
      -56.3852432631352,
      -42.3835770598964,
      -80.1540422575977,
      -50.1193811381597,
      -54.5392691635026,
      -63.1710984955904,
      -59.4887430620704,
      -37.6075492314799,
      -42.1376022096015,
      -46.2671683078792,
      -58.1253658608969,
      -77.3311043733712,
      -62.1361958943211,
      -55.0017306802892,
      -58.7284731566832,
      -52.2537424213837,
      -59.2865465007807,
      -57.0077432425218,
      -49.1250985619483,
      -52.2181927592693,
      -59.0544200364177,
      -65.1626946100012,
      -62.766652218401,
      -49.1804307591145,
      -47.8941471604435,
      -86.3031996484179,
      -58.8286191771966,
      -59.4072090698878,
      -58.9321030012678,
      -55.7020461500864,
      -42.7686609187985,
      -48.0773358886559,
      -17.8780278052445,
      -42.7822315630393,
      -51.8672907791426,
      -34.758379807339,
      -46.2720555392536,
      -66.1382273174109,
      -48.686040474414,
      -55.9997256469551,
      -37.2470554551043,
      -57.1027892733137,
      -56.5506127956001,
      -62.6352851881884,
      -43.4349041230562,
      -49.006191267197,
      -48.4190724295773,
      -59.8665418367647,
      -60.2887930767977,
      -48.1397985739979,
      -54.5759160127012,
      -36.924219852727,
      -40.9572429945176,
      -43.7424768674671,
      -37.4903348215347,
      -23.8707100128719,
      -41.4820336213884,
      -54.3473637130379,
      -36.3027115813482,
      -52.8355574001192,
      -66.3514661571499,
      -43.2925437413645,
      -57.0843018444616,
      -36.3565455585081,
      -66.267306400893,
      -58.8570359398556,
      -59.4738474972481,
      -47.4714803245535,
      -51.5206594144997,
      -58.0882905308735,
      -59.3793049134292,
      -54.4265278648865,
      -51.5806142016976,
      -50.6899279327527,
      -50.4015227351529,
      -54.6627988365918,
      -48.2054363150221,
      -34.4499318531863,
      -60.9240051419444,
      -74.2950201707262,
      -40.7452642064535,
      -42.8137889822305,
      -50.0518599653065,
      -56.1367669757451,
      -62.1409946643749,
      -16.4839326626893,
      -66.069106604564,
      -66.6631451342109,
      -73.4914808684192,
      -51.1072914784992,
      -67.7745056760268,
      -63.1027264857524,
      -41.1327980466073,
      -44.2416995979365,
      -64.7896816283776,
      -46.3980618117262,
      -32.5905370986357,
      -47.7578974642895,
      -62.8102785044832,
      -75.4086266751912,
      -41.6678205844574,
      -61.9062881016453,
      -67.4164184205965,
      -42.9475422779335,
      -42.4960527640387,
      -52.1642493639677,
      -54.6075051018479,
      -63.4696403640525,
      -23.0615573633689,
      -64.4831402528708,
      -65.5447269919207,
      -73.5880313839522,
      -46.7073661794769,
      -71.2445852776475,
      -55.3569811497219,
      -42.1367724403256,
      -47.0343127418706,
      -60.2678241336572,
      -54.1448845461174,
      -26.2628063228386,
      -61.4078903671425,
      -61.1066814359476,
      -73.2496496880938,
      -62.4736108072529,
      -68.7631851400401,
      -42.7833576314051,
      -32.7541117140953,
      -42.9279291034492,
      -48.9460470164293,
      -67.7825586918655,
      -67.1134383283753,
      -42.1544657886342,
      -46.743097753598,
      -42.9315539347876,
      -48.7972439455094,
      -60.0274665221272,
      -66.6466786338809,
      -66.9165589142578,
      -36.1792970052684,
      -58.786192408022,
      -61.3953294476262,
      -47.0918074010892,
      -47.2410795353303,
      -43.9100414630754,
      -47.6685677724934,
      -37.5034499032564,
      -63.1236915323808,
      -70.0338457638246,
      -50.342645566031,
      -38.4114875186501,
      -45.4174281967706,
      -54.3521129483081,
      -64.9325493734748,
      -64.5415403671857,
      -34.5298367930314,
      -49.6671608931269,
      -44.1336037548505,
      -51.70426063076,
      -61.4131312622398,
      -74.2398619429433,
      -66.3110455973459,
      -37.1190991562329,
      -62.7542059161613,
      -51.5009044276118,
      -44.8226642923596,
      -44.8287596204619,
      -43.8256464882118,
      -54.6547139140367,
      -47.9746955678904,
      -32.2740927101871,
      -48.7958321104538,
      -61.5362057565832,
      -50.2747488834261,
      -63.9985816356225,
      -75.8404950436438,
      -52.7043668424865,
      -51.3446086407005,
      -56.8400276721941,
      -59.1136336042377,
      -53.3263946900304,
      -75.8762174905654,
      -73.777470964368,
      -60.8289355652907,
      -62.0875355423766,
      -67.7169596637688,
      -63.9600609942574,
      -59.0128907809024,
      -80.7038371407539,
      -42.1895685929163,
      -28.6666618290189,
      -62.8060049312404,
      -70.5215639282402,
      -37.1446402118635,
      -38.9184030737731,
      -61.9473679328737,
      -46.7933809284051,
      -65.5177724173886,
      -73.6696960288015,
      -50.1702754750269,
      -53.1475735486046,
      -64.6060441320516,
      -58.7457006535546,
      -56.7457718796472,
      -74.6718182757277,
      -72.7708084704601,
      -54.3978567013717,
      -60.7705576575349,
      -75.2544019071038,
      -62.9421439002797,
      -70.7780054824875,
      -72.9234347466813,
      -56.3723272518106,
      -46.222718019611,
      -65.77032522114,
      -75.5116802776998,
      -45.1075718547556,
      -75.1449776060351,
      -55.6432522324488,
      -33.7337582849783,
      -49.6050777545373,
      -56.0812365922103,
      -59.5949533181303,
      -35.9992986042234,
      -59.14628486291,
      -60.6565987834217,
      -72.7003110502079,
      -51.555211359605,
      -64.8580079447659,
      -62.8209172283964,
      -46.9960440601753,
      -43.8852627466287,
      -62.6686196955344,
      -51.7246186023458,
      -51.8905996444454,
      -26.937054838587,
      -65.766997355897,
      -63.0209865510474,
      -65.8418246923794,
      -43.44465485894,
      -66.7449153557594,
      -52.2844165105218,
      -36.9742791651469,
      -51.3914397491509,
      -55.3616546799742,
      -66.2586582394443,
      -26.4882237192726,
      -64.4064121216651,
      -59.8904007465524,
      -71.2388572873019,
      -49.7968468899079,
      -65.9609488471092,
      -59.5650775398678,
      -48.5746344447504,
      -42.7325813500782,
      -64.4096085424732,
      -49.680640720794,
      -35.6637948956536,
      -39.1709581287751,
      -71.1549690478865,
      -65.8511091521126,
      -62.7602701018949,
      -18.1533051367477,
      3.14030106662386,
      -12.1084348600076,
      -31.3383755962156,
      -59.2531516614809,
      -11.0481440752496,
      -15.0332309088909,
      -76.1848928174159,
      -72.6065404820999,
      -58.9558202334809,
      5.53021628422707,
      -20.3620099664848,
      -42.2128026946791,
      -29.6627739980596,
      -60.1726438028118,
      -4.63805076161848,
      -11.7091364911197,
      -44.0328132692071,
      -18.5460093343669,
      -37.9993635232669,
      -52.0783687675824,
      -44.4341452496248,
      -25.8115634906208,
      -42.2636683006551,
      -55.4748194944649,
      -53.3942473638223,
      -54.1815922173479,
      -51.7909533404528,
      -59.9737192428097,
      -72.4414626238662,
      -50.3120101569752,
      -61.6178518308131,
      -53.6985415640527,
      -40.5184417766238,
      -53.5801853973469,
      -56.6424768469061,
      -44.4195423739051,
      -63.5685033001956,
      -61.3402401465222,
      -61.6548585931196,
      -79.1574736549492,
      -58.8414017934953,
      -62.9347305655068,
      -44.3973630491016,
      -33.060830388665,
      -28.5403498040616,
      -61.9328301026361,
      -65.9381201760574,
      -38.9574176226045,
      -45.4037955042298,
      -50.5922286286319,
      -56.3822404499433,
      -61.1835377256566,
      -23.6724346861605,
      -68.1004323517397,
      -59.6737640236946,
      -75.3065845783618,
      -48.1619589235318,
      -74.2693747510549,
      -57.7633051652764,
      -37.8578560740486,
      -45.7843209193203,
      -58.9415925901231,
      -60.1902843817157,
      -24.8116565989426,
      -56.257815168029,
      -54.1545020385585,
      -74.0425460279998,
      -40.9474164356787,
      -65.8610978659678,
      -59.0482489433079,
      -44.6954440091563,
      -42.8778557699913,
      -57.5028249141537,
      -49.5437851389879,
      -57.7112638557445,
      -25.4913530551339,
      -65.151893889238,
      -65.4088176808995,
      -67.0707586316374,
      -48.9037983956106,
      -71.5105735370115,
      -47.8294819428643,
      -40.5907085708055,
      -55.6306218379991,
      -62.0996183109683,
      -49.3218589461212,
      -21.0810208913434,
      -62.956503480217,
      -62.6604649380252,
      -69.1871416161647,
      -60.1785061730617,
      -71.8570590501539,
      -57.3773395520734,
      -68.9476467713114,
      -62.2291158472159,
      -62.7027195846524,
      -73.9746414966705,
      -68.332448702349,
      -77.7376019861938,
      -83.60220865531,
      -65.4056235396122,
      -75.0801810599965,
      -71.3149853418406,
      -57.5110878779788,
      -72.1172330751025,
      -70.963017239938,
      -55.486590677762,
      -61.3355530231902,
      -66.0983733667605,
      -49.252890214207,
      -66.8198907154446,
      -59.6928189540335,
      -52.1779153629203,
      -61.6406070340474,
      -28.117543771719,
      5.43987373767018,
      5.22615799232108,
      1.3224484997496,
      0,
      0,
      0,
      7.31881479311104,
      12.253914852418,
      14.4737366227376,
      10.2921794153813,
      14.218306957133,
      16.0082997070235,
      13.5702917331326,
      12.574913338026,
      14.0925844342727,
      14.0238705317025,
      -0.194103960310797,
      8.25381400407597,
      5.33186347370143,
      20.1995222555053,
      16.5412660966873,
      8.61113541546247,
      14.9300762390389,
      18.3983607547567,
      14.6352037537524,
      10.1081623392712,
      14.8892115268448,
      23.2203993688998,
      28.6110553935198,
      48.2252333079131,
      37.9557830537035,
      48.1662630032402,
      41.105992410085,
      43.3607403548627,
      67.0630682516973,
      67.176656708718,
      44.8234891747267,
      72.9275753010942,
      70.5852599139244,
      50.2413256074866,
      46.9846810507647,
      51.4439577230745,
      28.716513933372,
      54.6583191238207,
      49.056450755819,
      34.5570224070913,
      48.2013093465289,
      47.6154574730222,
      59.1368495710085,
      73.1919269853326,
      44.608143703203,
      36.2031570922391,
      49.3670179976307,
      37.658626155583,
      45.3443923483717,
      45.9349777354691,
      43.4276236617245,
      69.0106799988985,
      65.8926941062517,
      46.2202066624185,
      72.7164055875995,
      69.1127254500013,
      47.354943245413,
      51.9335759506723,
      47.1974783494288,
      30.4744912594568,
      57.2717034245061,
      47.8053834121037,
      37.5048090307125,
      46.6072900200923,
      45.7577602072381,
      69.8524253181062,
      66.9235409071261,
      45.5186125030215,
      44.7336445813005,
      46.8665302575929,
      37.4499784672814,
      53.323979624388,
      50.6058091828466,
      41.6336097156179,
      47.165108334771,
      22.4125905524204,
      36.2992686137141,
      52.5333408902027,
      57.4516000484806,
      49.5612162442169,
      46.9738734935537,
      45.9674892272897,
      34.0929641853258,
      50.6123596439276,
      37.4422900749206,
      31.166680130069,
      46.9085784499295,
      28.3200100312919,
      57.1671938643375,
      47.6480408026552,
      54.3527348811288,
      45.9099111303739,
      45.9847079725282,
      41.0798515830051,
      44.8607748820112,
      53.0269314556817,
      44.35151601029,
      51.3922128044206,
      21.4994515976084,
      39.7179230187712,
      53.6329158704059,
      53.608290362604,
      48.3346575170402,
      41.4566879449182,
      42.7269500104638,
      34.3598626225009,
      51.7560027775087,
      38.4106843920816,
      35.3487604104148,
      40.9844347176763,
      31.6736485021681,
      45.2948692711382,
      46.6895313587829,
      48.7688015621841,
      55.6762211215292,
      82.2049058402118,
      68.1500545933636,
      48.062412588953,
      42.8228311893008,
      46.7011295025877,
      49.3299757904702,
      34.7206785394707,
      50.8964137888983,
      72.9205681713319,
      61.2724124561709,
      75.5193694742781,
      84.4467884813926,
      73.4776566005546,
      64.4407893042859,
      39.2387436291786,
      41.4773684213227,
      47.9577757242502,
      31.4067236736197,
      40.1182431927671,
      55.1361744236658,
      71.3008587464511,
      67.2663310394313,
      83.7905660876361,
      87.5310306008754,
      67.5607751551019,
      45.8489260798003,
      39.3729404197644,
      51.6788775017911,
      41.5038606110194,
      31.5872636849267,
      48.9117972588996,
      75.1915577628334,
      62.4764296057805,
      78.1925612174775,
      87.1293468329529,
      70.8964649415013,
      57.1050742563847,
      47.2797617697878,
      42.4040615823424,
      45.7603104399517,
      31.6761623078661,
      36.5516549056149,
      56.7031309058478,
      72.7311049301032,
      67.022471784547,
      89.9798311995337,
      50.5492377572278,
      63.2683619139662,
      71.9493180715724,
      55.3232860747213,
      58.6414411308904,
      69.006860627502,
      53.9370109529468,
      71.4067130952278,
      69.0223744361734,
      49.3388559572536,
      46.6558933378237,
      46.5450408262392,
      43.4034623512493,
      44.019685476079,
      39.2111739735908,
      50.034233268268,
      75.2323109633231,
      55.6145218038993,
      47.0905741085015,
      48.1393600985595,
      64.7143766669586,
      48.0213172713872,
      55.6110533467822,
      47.8144964576104,
      67.6065538213044,
      70.578658421697,
      51.4393243177124,
      66.3664683745005,
      68.7431537855756,
      52.1249715720522,
      70.5143660290256,
      71.5899158183631,
      45.3448346071509,
      50.2255586837367,
      47.804394373352,
      46.6928405541913,
      36.9599451102214,
      42.0466234916217,
      44.6078664130067,
      69.3876157516698,
      54.131348238739,
      48.9077658888108,
      50.4326759431348,
      62.4508556865409,
      48.3732994819369,
      38.1410782415568,
      38.6375228882409,
      25.9874526676833,
      23.7775801329369,
      16.3080504077159,
      47.2863297369941,
      32.1751370752386,
      37.5483362427266,
      34.4606797788688,
      26.828872071413,
      29.6982566313956,
      43.2073436439898,
      24.2828475231113,
      36.8507789848033,
      22.4167639470459,
      26.3035201316554,
      40.0536219442327,
      24.6299474942741,
      20.8967852387819,
      40.442064563688,
      47.458806855734,
      32.6634711476754,
      30.1308655144173,
      43.5951638404892,
      39.6297138570794,
      19.5281451812145,
      18.1763538724224,
      22.3967972874146,
      44.6244741426235,
      31.4217651676589,
      35.4326736380609,
      37.638841977928,
      26.7859225742349,
      35.6631530686037,
      32.9754493461596,
      34.4584711679796,
      33.8464697297456,
      22.9242921350331,
      24.249891264743,
      32.3285033518561,
      20.7264414456642,
      22.4336207595048,
      43.7464815339124,
      40.428784286701,
      27.7347900131048,
      28.5488602260225,
      83.5969370426341,
      71.3440627385541,
      50.9633726022701,
      44.4625925186934,
      46.4633282459337,
      51.4952183907727,
      33.3721613458401,
      43.147545359829,
      58.8619175168719,
      79.3919387910333,
      64.227391680786,
      79.5324151588687,
      85.9922131603294,
      67.6016116846229,
      42.2839822067793,
      42.464283439299,
      50.7940032345651,
      37.8933463390751,
      36.2120628168452,
      45.9679774966391,
      72.1250596189807,
      61.4350407116057,
      88.2525124104898,
      89.01672695433,
      63.7262786750613,
      53.484603080699,
      42.0348429920764,
      40.6546508683469,
      50.1709874854002,
      29.7417453721809,
      44.1607894986437,
      58.5494177927818,
      75.7611799516673,
      63.7969587869963,
      79.1539756582465,
      76.6253562383104,
      69.9229508519911,
      37.3000016909226,
      47.5145333920327,
      49.0562524057919,
      34.0702568179872,
      34.104179508843,
      51.5207403899804,
      71.3967515742174,
      62.3705060301862,
      84.4924150431539,
      45.2228600898509,
      23.6785150241803,
      36.1813482355978,
      55.0290318604969,
      48.5184017202047,
      37.0850437842605,
      72.5428194233488,
      80.3581339699251,
      39.6210218458649,
      36.7821404092777,
      41.7502141530777,
      32.9836108971417,
      57.8942188826379,
      42.586744284547,
      42.9738236324985,
      24.9871333905308,
      54.115064237849,
      46.6207926797261,
      66.3658392582554,
      45.0257158893486,
      73.0595041812085,
      56.0242325310827,
      43.8117674764911,
      54.6611932772629,
      39.2293851041321,
      49.6013865523661,
      38.6430914295749,
      26.9763836469743,
      31.2606063237136,
      39.3047645373349,
      48.2743837745278,
      31.9057020393775,
      29.0510268365275,
      31.955402334837,
      56.0073765512921,
      46.5508544437705,
      58.4726344758464,
      40.5660751067091,
      34.5516862645481,
      40.2535609790231,
      56.7482439947621,
      52.1648876269801,
      42.3107898983149,
      26.8613630720664,
      35.3536321407734,
      41.7366262353297,
      83.5774972875539,
      64.3188747455298,
      44.1600336839752,
      37.6404220870269,
      45.2326408363785,
      42.2072422944265,
      31.0017375687375,
      49.7976729959003,
      72.3205898100854,
      59.5935340943796,
      78.1137731163124,
      82.7411536159581,
      67.106620834844,
      52.5978107529382,
      45.9831436000999,
      44.4737070797549,
      52.6023407129406,
      30.5237629128262,
      36.8545751571884,
      57.6747101941003,
      75.4716067957289,
      61.3060916722647,
      85.6638258492227,
      84.955399331739,
      68.6712864321758,
      40.7422706325278,
      41.8081661757448,
      47.7547493915401,
      33.1670153430686,
      35.5198379713772,
      47.5294194051114,
      74.9729218242381,
      59.5329233686586,
      78.5697139716237,
      82.1843958180324,
      71.4993728543444,
      55.279426508238,
      40.230454033843,
      44.6168318824003,
      42.323288367309,
      31.268882602114,
      38.3349709965917,
      54.7545156555238,
      73.1491275940349,
      69.8764341951696,
      61.1561900928202,
      3.57935704996267,
      -16.9954436207224,
      -11.509290054041,
      -12.4497198222011,
      -16.5572105976859,
      -2.94206183806532,
      -6.45107419855506,
      -0.204663492047939,
      6.46880272705971,
      -7.57304807215842,
      -23.3494650725294,
      -3.08098266889764,
      4.80270628509323,
      6.62211760671005,
      1.95427411207753,
      -4.35822114351081,
      -8.19244639793494,
      -6.98250701301387,
      -14.2171206845138,
      -5.15988466671186,
      -2.64373565175211,
      -11.6357793806458,
      -18.0937908625554,
      -11.5707112144532,
      5.85579952755794,
      5.21225613458942,
      1.31960037945016,
      0,
      0,
      0,
      1.78850903214803,
      3.44393644613995,
      6.9400872867884,
      8.65175552079453,
      5.71503115715594,
      11.7770021144392,
      12.1013814817975,
      4.68572145882406,
      8.00691391752756,
      13.9788144637924,
      -16.8751212731183,
      3.6369760426263,
      -1.16463114425077,
      20.4262204808072,
      9.08100583042138,
      0.705759172684663,
      12.5824616476499,
      18.9942458254704,
      6.04926405241154,
      11.0397425684917,
      16.0015808462564,
      -7.46941516370119,
      -27.3048323567104,
      -4.76120581029819,
      -22.3366962479536,
      15.550632025527,
      4.98161836205138,
      -26.3088996673444,
      -6.76487613112076,
      16.2978830057852,
      -1.800657874288,
      35.6870571814515,
      17.7875218565176,
      -9.65119666390667,
      7.30491409324912,
      20.9990712585387,
      -15.8268931369743,
      20.6211485562455,
      23.8307503733075,
      -22.7208851224409,
      23.1085246016183,
      -7.51464680641378,
      8.16346299895483,
      -8.99700640710213,
      -11.9976546066578,
      -24.3627519889403,
      -1.15613262295018,
      -21.8177479936563,
      12.0966446715264,
      7.57300452711916,
      -22.7735140662222,
      -2.06208670083253,
      15.1840132692767,
      1.00079712791349,
      29.8832128762206,
      11.7459574001064,
      -8.6080562448129,
      13.7258574937811,
      17.1446002213763,
      -19.0361695608811,
      20.3739719487601,
      5.48794718691115,
      -8.75987360099295,
      29.4762345266076,
      -15.4356921955302,
      4.78221470154874,
      -0.390335756958762,
      -14.6154266806814,
      -23.795363691462,
      -0.411466668849949,
      -23.5573139218069,
      -0.968247576330254,
      24.0990059824532,
      -9.60236801085012,
      5.94410728189374,
      0.877259155185274,
      -14.3002383244989,
      14.3673691338693,
      26.9335908487353,
      -8.23260175859073,
      4.82512327519086,
      -11.0286162963938,
      -3.50397354929637,
      22.4109789147542,
      -4.79592193098302,
      -7.69916693894544,
      9.83603888527357,
      -31.4951334735978,
      14.1270730722104,
      22.942024339895,
      -8.24000499612513,
      -9.78950216184762,
      0.501472831717563,
      -28.8308892040324,
      3.42559110534177,
      20.4610326644313,
      -7.63301289708775,
      3.19417439891395,
      2.19643467012607,
      -13.3151962746488,
      19.8342155730918,
      19.4219413855495,
      -6.69401239673866,
      12.6925247024676,
      -20.2631265147892,
      9.15356339216281,
      20.6572334757329,
      -12.0082385729489,
      -5.92926010090831,
      5.5109184691406,
      -32.8421990493694,
      0.854801993076247,
      20.203985547794,
      -8.35972129930382,
      2.97469674054932,
      2.23977774711245,
      -11.0058700231137,
      -12.5101946011159,
      -7.41149271044419,
      -17.3481370490598,
      -14.4691202544402,
      15.2774272900076,
      -38.0368667377116,
      -0.0226772009261175,
      -3.02837269599771,
      0.276812683266528,
      -5.47524343866474,
      -8.94867230134594,
      -3.55005393364042,
      -6.0398628870494,
      -17.0390103614747,
      -21.3130624001283,
      11.0045603659551,
      -29.529479323136,
      -34.0137622833739,
      4.62354728879464,
      -6.99073947416304,
      -0.983796518797029,
      5.051862153595,
      -12.4493875711392,
      -11.865255675891,
      -11.4149330071472,
      -17.4866423970541,
      -12.3691118050082,
      -0.407193221013717,
      -32.3231300584382,
      -1.12414468800404,
      -9.86084988786109,
      -2.27931701283999,
      -1.6972311284761,
      -8.37690729847063,
      -6.24939049655357,
      -7.57783211319104,
      -21.3661403998904,
      -26.2702250726929,
      17.3239081975889,
      -35.7159436007649,
      -25.5753578732115,
      1.39411358993098,
      -8.64697317504514,
      -3.74589465374309,
      -22.5658540742289,
      -22.7626583153138,
      27.9157132056452,
      4.48854923179008,
      -34.8160238818448,
      -32.4296985539454,
      -18.5270264758726,
      8.22928234277973,
      27.510977532727,
      -18.3304133886036,
      -0.757591207334441,
      11.9194151188011,
      -21.7939995755556,
      21.2798696294006,
      14.1206330227502,
      -18.2930046862867,
      -3.29856843494082,
      12.6690130797113,
      -15.1200650986358,
      11.683891408286,
      -31.5910072125731,
      -19.5909093049369,
      -1.19423326319624,
      -24.2635223568332,
      -5.39594432740374,
      36.8236577908291,
      -7.61134807099718,
      -31.0929923219251,
      -27.2696370018417,
      -18.5929901328123,
      8.20378526632794,
      26.8731534804577,
      -17.9884471678216,
      -3.40860450732417,
      7.20123744999268,
      -11.6620967183126,
      22.9534348861336,
      15.2986881074954,
      -16.8780589960805,
      2.27709109113105,
      11.5003930309409,
      -12.8999912520628,
      13.8907273664338,
      -38.2087122408116,
      -13.8485958898795,
      -0.00183389766535094,
      -22.943875036654,
      -2.42911690616283,
      12.6027387922936,
      -24.2328532474884,
      -16.3023144024642,
      12.499349291237,
      -10.5722238449643,
      27.8895913212478,
      56.28820812084,
      -20.0938038313726,
      -11.3345354160167,
      3.77186183128099,
      -20.5463912004063,
      16.6681047180798,
      22.4635184313509,
      -25.7180245521093,
      22.9695020029484,
      8.72754093390551,
      -2.06131489847108,
      30.3597181379102,
      3.66625159227054,
      -25.0678320506006,
      14.388762212966,
      -25.4926683014044,
      -3.0568072486103,
      14.6103665219,
      -26.1683110492082,
      -17.3179612166896,
      18.9579137324603,
      -12.5025592550918,
      23.4048393190865,
      50.1547966767273,
      -18.3753791071444,
      -9.00956984403361,
      -3.00806379276623,
      -21.8431581544395,
      16.9776543797657,
      23.3473176537622,
      -28.05910256582,
      17.9292014293957,
      -7.40266752047437,
      3.08884391627854,
      20.0445198269096,
      -10.7380594246332,
      -22.9559688772171,
      5.13229226115659,
      -6.74824472297338,
      -9.21492896922644,
      -7.6548327534039,
      -18.0873492576419,
      -20.2311247471013,
      12.4613468299957,
      -23.4711931975214,
      -15.3969478381209,
      14.9819175475998,
      -13.7577795325372,
      -10.1361487845112,
      9.6285946364751,
      -13.6101774628371,
      -11.5563259365841,
      -13.7748464885776,
      -12.8058668533554,
      -11.0921277954804,
      -13.3309066586146,
      -35.6014205294927,
      0.982289579226865,
      -12.1002702219058,
      -2.87994091693824,
      6.85889491021297,
      -8.54472319035109,
      -15.9067798215118,
      -7.16783218825909,
      -16.3591843496026,
      -21.264803422663,
      15.0123165280656,
      -28.5496264054257,
      -17.2716269409495,
      12.5585886597736,
      -9.27700432951841,
      -10.6878284109524,
      4.1742468349458,
      -8.2492789687629,
      -6.58365153736189,
      -12.0711341070043,
      -16.2995646206493,
      -7.13338484184158,
      -15.9432967469996,
      -37.9690682037742,
      0.999161102510391,
      -17.3106292291741,
      -0.0526152356239681,
      40.2055517104599,
      23.363569764804,
      5.02764390401294,
      -27.8889941787832,
      -11.8931409761506,
      29.8189220993362,
      16.7497523884413,
      -3.44049255217792,
      19.5093152321763,
      17.6095121103541,
      15.2123185507021,
      0.267330266150062,
      -5.11681544315866,
      6.09088160896799,
      -4.14090438762122,
      2.34313833042742,
      8.00912515406208,
      31.2884053073323,
      13.3939387823368,
      6.77688322143109,
      -8.25993521686274,
      -21.1245997535389,
      -16.1719033307536,
      -12.0968107708949,
      -29.2939975355241,
      -4.46359836172564,
      8.24734990318847,
      -33.8686517658843,
      -1.91448576621717,
      -9.33126503044204,
      -10.7673517721816,
      22.3178022348216,
      -6.4638820596915,
      -9.49817089491876,
      -14.1518039595639,
      -35.7138602100051,
      -8.14177701257417,
      9.5618479510636,
      -27.6978314004364,
      -9.0920026417479,
      -6.78333117946568,
      -32.246812250411,
      8.29912600168665,
      21.1181221552566,
      -8.88223901189691,
      5.01716362300168,
      4.81107318642508,
      -11.3446121161724,
      -11.3140084944065,
      -12.6174170193175,
      -14.3438508926801,
      -9.13832534407579,
      0.75226471252203,
      -32.526486937796,
      3.18947534457588,
      -12.5380422637064,
      -2.02092746501771,
      2.55133624726993,
      -3.88883444221493,
      -4.56984841001219,
      -7.37175390616976,
      -17.6638280931609,
      -22.3511696795677,
      6.32587717265822,
      -31.8144768037497,
      -21.649352949702,
      10.6647664258688,
      -6.03351170360241,
      -5.90243463442424,
      8.0282020135855,
      -17.8150630295723,
      -14.4006518825131,
      -10.0011834054753,
      -12.5636936938116,
      -4.81119825619965,
      -6.8317831886229,
      -29.9628810019647,
      4.31114175125098,
      -14.6362821407071,
      -7.76921948688989,
      8.24784368884652,
      -4.86958171029527,
      -12.5702526057145,
      -8.60608839632946,
      -15.7795951517949,
      -25.7902488918887,
      20.1877526489066,
      -40.6905457799824,
      -18.0796614608706,
      2.04033817437673,
      -6.00678787877605,
      -1.65288123972095,
      10.9181822814522,
      -8.15438559206373,
      21.8654587239715,
      -5.5148353379276,
      12.473709588716,
      21.8324588076887,
      -15.4849096122726,
      22.2342791020197,
      22.054588081268,
      -19.3187954568134,
      12.3160498291615,
      23.3566804911628,
      -14.6845494782893,
      26.0394547323309,
      30.6210830788409,
      -25.0397595080448,
      19.9142212240482,
      18.7305225946538,
      -29.2546241895561,
      19.2722820786639,
      14.7431406675651,
      -12.7389251899695,
      23.7666392399099,
      11.9988472885135,
      7.01635345491431,
      5.19530253265606,
      1.31612468937916,
      0,
      0,
      6.95670970357021e-15,
      16.4766745922066,
      21.5478205866254,
      20.2254886078751,
      27.593945158831,
      24.8919959474082,
      21.8821125914949,
      29.7091392785254,
      23.4413564057956,
      18.3913609857861,
      31.8030452808871,
      24.2252301436018,
      40.5716443595978,
      36.9130001710412,
      35.6116670432615,
      38.1974053371637,
      31.5639201423662,
      35.7681349275245,
      39.3392786583041,
      33.003196916633,
      39.0372314038708,
      34.9922539123505,
      37.9875598803177,
      27.6248667084263,
      19.8241183302562,
      32.0086945839947,
      49.1245849913987,
      15.6235445187918,
      34.0727690164267,
      76.3412101822801,
      40.2511742738697,
      37.5909748420258,
      35.3300528922127,
      76.7466556613948,
      55.2025695691177,
      58.6679248230163,
      35.162848292428,
      39.0978643880957,
      47.0968428846483,
      45.1261497224563,
      39.3602563960369,
      48.4408826596613,
      34.8399092000241,
      38.8483073042882,
      64.304407386839,
      61.0552746964768,
      47.048785125361,
      23.8805387583427,
      34.8120026170447,
      44.2218162452971,
      12.140350085242,
      39.2963514537962,
      71.3551712512858,
      46.7941165666472,
      34.6941334919859,
      40.1877673492547,
      75.6770245132091,
      56.1143266299813,
      47.3529386025017,
      35.0277481930719,
      37.0301158578045,
      45.5864354208113,
      44.1349736850367,
      45.7284952024432,
      43.9006528127232,
      32.8353625625135,
      51.0432242647268,
      65.5845999991661,
      58.1569986974179,
      65.5293090083614,
      60.1653326098047,
      47.7702820632772,
      85.7325890035905,
      72.2745770240615,
      70.4977181086004,
      84.8362173319772,
      93.0460970803375,
      73.5665322732471,
      78.8379831270716,
      53.4043121323257,
      58.0431891805816,
      59.2290606087086,
      56.2204310726406,
      44.6658671855369,
      57.4374201516734,
      44.6298467536399,
      61.1448805692918,
      55.4860727527601,
      69.1269190675062,
      61.9487581422306,
      57.4689167898793,
      49.3036669429645,
      70.2849092332597,
      54.2582407428066,
      55.2211299575764,
      91.8027925349688,
      69.6777086811268,
      66.2366097587163,
      85.6558453741512,
      90.3134741465109,
      72.3897869081037,
      75.463916098593,
      49.6238730292412,
      66.5136197487722,
      55.1232931984365,
      58.5361795085577,
      52.2452023935505,
      57.1945215864023,
      51.822944941268,
      61.2209963364337,
      63.7543910569955,
      65.9187964729136,
      56.4851410857631,
      55.5032474987172,
      48.9846792617668,
      64.4438513903163,
      15.9871812784981,
      51.1834222079,
      61.7185258468836,
      60.4274502986183,
      52.6076354133978,
      59.4529819678948,
      64.1017450105033,
      51.5614271427322,
      70.7567674912423,
      43.1202724371931,
      59.9287169901962,
      19.9865780071392,
      37.2889371131344,
      64.3966470921754,
      64.4850859212624,
      60.277399044863,
      50.6543041271963,
      55.825309426663,
      60.3860245834521,
      60.7518817581684,
      60.8459424567074,
      42.8286892982511,
      51.7542419978443,
      15.7955912632927,
      51.9082627220185,
      58.3731434927885,
      64.9276766011054,
      49.9712024710204,
      50.7269644690703,
      63.9043330343866,
      60.193058289167,
      75.3285796307349,
      39.0040473547913,
      63.0405026050537,
      19.5656648470926,
      38.5172898042191,
      61.9943020051584,
      63.0519397184763,
      57.6866580554295,
      56.6998400238462,
      58.0247389853082,
      58.1936311357427,
      62.516702461814,
      62.256606238169,
      44.3963940244574,
      42.7016135484926,
      57.7825623446494,
      26.2962442255741,
      26.8954605034321,
      37.1628204225785,
      42.6409513459127,
      72.8695279612921,
      53.059539401954,
      57.9034321104909,
      49.9308347237413,
      43.5376634717484,
      39.9824178715115,
      37.2140790850612,
      48.7792080681727,
      68.3019952421564,
      67.6636391154792,
      32.7859480755935,
      55.0494132820102,
      55.399983170294,
      46.3691517135422,
      62.3465582221374,
      82.7251733215389,
      45.1389402808876,
      44.8572800115512,
      54.2647346730781,
      34.8627966783755,
      25.4446214058977,
      33.3179066398728,
      44.8663391873782,
      78.0139692306345,
      47.2057156980655,
      58.0463124975029,
      51.8788968396116,
      46.3783305094866,
      42.4831948110135,
      44.6715380319953,
      48.0390842561256,
      70.7869712932864,
      64.9663179122181,
      31.0999418261414,
      59.7519310562911,
      56.2610566276037,
      42.0753533396222,
      63.0749964428322,
      79.5855242172552,
      46.2413750800535,
      38.2072235225507,
      30.9297071197677,
      40.2842545645209,
      58.0747731772982,
      41.9083934727454,
      64.4864074418684,
      70.3492550444419,
      44.3929600940442,
      60.5712906618675,
      55.898494884813,
      51.1761807276513,
      75.9281486156063,
      47.1235124236119,
      46.6931623948862,
      49.3777303028453,
      64.3417150376504,
      42.6868209222783,
      46.9624127176565,
      62.6138532979922,
      45.9198860244073,
      70.4788164875955,
      54.4084005668965,
      60.9187973724684,
      43.1057608975288,
      30.176610931417,
      46.9213777310728,
      58.1897387513835,
      46.6130256989579,
      71.3705112267029,
      65.5668596108602,
      49.5170784859436,
      64.7537951444944,
      60.1550085577803,
      53.4568855719149,
      67.9304576496839,
      58.8527792810332,
      48.4405212337974,
      53.8946717918694,
      57.7546790314463,
      44.8470744686734,
      52.7309749602489,
      59.5745886108398,
      50.1451156891923,
      60.1535572594885,
      54.2013134624335,
      57.4042730758962,
      21.2310910551137,
      34.9515554676599,
      57.9422791206325,
      62.4938961470483,
      58.2300630468689,
      55.233083221147,
      60.022005468291,
      59.4020031106083,
      61.9426209437088,
      65.5835127698207,
      40.9138007388742,
      47.3787550432659,
      25.9223934533008,
      57.8127602011508,
      59.1186839287067,
      63.4770516874529,
      55.292044191733,
      58.038690023173,
      63.5052896250748,
      54.8525928353952,
      75.2219646959706,
      38.4128161147879,
      61.8227350293528,
      14.5534893924217,
      44.5982274562027,
      63.5966205134477,
      61.6268662675336,
      56.7117225615746,
      61.0814313440128,
      64.6021667782251,
      58.2008862036154,
      63.0039828640624,
      56.5983599042553,
      46.3453600488878,
      40.8182902994499,
      30.9023003983839,
      60.0825044393471,
      58.2370177634431,
      64.0394200483593,
      53.2040566354528,
      55.8014930318683,
      60.6750349778271,
      56.6643384205414,
      63.623885217986,
      45.2467347397621,
      55.6940706801998,
      25.0050425252068,
      23.869679631104,
      36.6547774939077,
      47.1639578787775,
      82.010010023572,
      64.6144380662359,
      39.2651466230444,
      74.4338313122187,
      78.8887797590097,
      31.0310104985969,
      42.2396165981746,
      37.1657635940761,
      86.4603356777787,
      86.8066033057728,
      107.285461247598,
      74.3751876666042,
      56.5714555819625,
      39.7740556079218,
      47.3250074004825,
      66.1809100939455,
      62.4585467592181,
      67.316190467604,
      31.1398618651216,
      49.749859323952,
      42.8336353646015,
      59.6867925227893,
      44.0740140500928,
      35.9127613818869,
      63.4731375512317,
      34.8864691926689,
      47.0752370539488,
      63.3502274103363,
      42.5806009576171,
      66.3608247388687,
      71.1064974031607,
      58.1890944812684,
      70.7993475897873,
      43.3308179899847,
      39.5141811753756,
      67.1531806501245,
      50.9250180678426,
      42.4161609689598,
      64.0711313539679,
      51.9659867443743,
      51.7372297893385,
      51.1263110906417,
      16.2385281492508,
      52.8716930931654,
      56.9494776404197,
      65.113651957383,
      53.5570952774357,
      57.7743849645131,
      65.7701132521809,
      57.5276218227065,
      78.6868077307434,
      41.6413433658414,
      58.8538641578414,
      19.0575464225975,
      35.9029070143413,
      63.6236269969226,
      63.641764219576,
      59.8587200741286,
      65.0393345572495,
      54.2362166273956,
      59.5614505972576,
      58.9663041740745,
      64.5883244388283,
      47.1874340478511,
      43.9227843912128,
      24.3687139454417,
      55.7326828548372,
      57.2238593467293,
      62.811647778135,
      53.1637649525858,
      51.636518257145,
      66.1854904629777,
      56.2952166689336,
      75.3958447148013,
      37.3647449768784,
      61.1593893410025,
      14.80825816021,
      41.9556222954873,
      62.6390753139947,
      62.6354234174188,
      60.1188858932451,
      54.9079884757539,
      63.3842727713187,
      51.2368128559514,
      62.2329067109529,
      57.434699187731,
      49.0033098007785,
      31.9733789649794,
      20.4251064637128,
      27.145967211245,
      36.3262180293561,
      27.8709953309806,
      33.3315326198027,
      38.0475270141972,
      25.1979717849374,
      35.3621694243536,
      40.6016823136858,
      29.1002165988417,
      50.076051499022,
      28.3718110780786,
      10.0763811259893,
      21.6111527407158,
      19.2273142432024,
      10.6828375692527,
      24.3270819371249,
      21.6425545698851,
      13.3805599184503,
      26.2006024224718,
      18.0205092603996,
      20.7729404955417,
      26.0062754921272,
      21.5566842481885,
      7.55251507678782,
      5.17531959188216,
      1.3120246272056,
      6.95670970357021e-15,
      6.95670970357022e-15,
      6.08715673017417e-15,
      5.12656184373204,
      1.14692965832449,
      4.79119159990032,
      5.569085641094,
      7.02457877729428,
      5.8250103795392,
      7.21416302910797,
      6.71906119126237,
      1.96803037481762,
      6.802596859784,
      -4.90517285223505,
      7.09298008919869,
      10.0409313427399,
      17.9688525184635,
      15.7849970877579,
      7.32022764827128,
      16.052637830041,
      20.1495407377394,
      11.9204182938857,
      16.2166610328012,
      16.0118190822372,
      0.110270182514927,
      -39.847315753045,
      -20.4294238100197,
      -30.4228093283421,
      -13.2729356997405,
      -21.730325538404,
      -39.7331820243774,
      -16.4453958909615,
      -21.5354866698837,
      -35.5946464931288,
      -31.7001177720399,
      -32.4104739971615,
      -28.7285175525169,
      -6.66669916061387,
      -26.8345316620681,
      -38.5383141786491,
      -22.9965573975073,
      -30.8948760747547,
      -34.1185474357064,
      -10.2144611385893,
      -35.5573199496171,
      -30.3951073787058,
      -10.9816885110372,
      -25.7388385834756,
      -27.5715307664872,
      -19.5954108380503,
      -26.8745508982758,
      -14.338138772955,
      -23.3920794259981,
      -39.7887319310436,
      -16.1358748425472,
      -22.3192711083414,
      -34.9309200868169,
      -25.8051402403305,
      -31.6255478868704,
      -21.4715339561306,
      -3.93490304817035,
      -28.4296298649158,
      -39.6204109626747,
      -13.5122291087542,
      -39.8417544504124,
      -34.1946779538597,
      -9.79203078828393,
      -38.8935346922151,
      -24.1753397533405,
      -8.27443930979107,
      -23.861425831456,
      -17.569419375097,
      -14.9034899491784,
      -39.8121449943941,
      -23.5164963325222,
      -17.555447782147,
      -38.312070298464,
      -2.76873231490556,
      -0.927236160455844,
      -10.1013819685616,
      -14.6482855865351,
      -2.89936188417524,
      -9.85955814321699,
      7.66852314507292,
      -33.6873144482917,
      -33.2268012030631,
      -16.0578345420799,
      -46.3971665093617,
      -6.91261855433939,
      -15.9881552404968,
      -35.0754302822039,
      -32.2118998753925,
      -13.1691463989039,
      -31.3296520809824,
      -13.2072937849783,
      -17.2562690742515,
      -44.494824188674,
      -23.6891704541522,
      -16.0026952653968,
      -35.5537839321198,
      3.94925544412371,
      -3.11921222675754,
      -14.3596835934946,
      -10.2698636229698,
      -9.58322290066211,
      -0.188130480801141,
      0.614358873662762,
      -36.5144543361032,
      -32.7714298929249,
      -20.2214341588642,
      -43.4333803826246,
      -4.62126223402158,
      -24.814655949804,
      -35.684992373354,
      -44.188578787553,
      -23.6911690985963,
      -38.1543124535336,
      -15.1375278943488,
      -39.4501086710849,
      -27.7831123542842,
      -21.7831121509567,
      -23.8324411025382,
      -35.9078096621355,
      -23.8005634172515,
      -8.23363639455348,
      -23.7161037226395,
      -14.7208306304942,
      -44.008156820381,
      -16.3878822595117,
      -30.9304184991195,
      -36.9043326559753,
      -23.897736573769,
      -22.1900012326,
      -27.0900456974141,
      -38.2776893314537,
      8.83548359762139,
      -16.6816254565255,
      -31.1293131691788,
      -22.7950484113515,
      -36.045419258335,
      -23.428452830339,
      -35.940466356409,
      -31.8984635340615,
      -18.2272822061946,
      -28.4045561255579,
      -32.1407349911207,
      -10.4494730957399,
      -13.7748487838947,
      -19.9581428985529,
      -8.57574435774211,
      -48.8460509419535,
      -23.1540349147897,
      -32.1987016632902,
      -34.9446428763486,
      -22.4083731697359,
      -17.2734734515369,
      -30.313992320922,
      -39.8688963082642,
      6.55564254065612,
      -21.8427602934018,
      -28.301269218043,
      -28.9772816335817,
      -28.9132210399521,
      -23.3017102328239,
      -39.6235527642003,
      -42.7649677870378,
      -30.3269637500039,
      -39.4415280477184,
      -34.7809292327783,
      -22.5846427061826,
      -35.3573220168898,
      -28.5726181287562,
      2.60721250032972,
      -17.2241244239009,
      -28.9072556525613,
      -13.3433077215303,
      -24.2667075448201,
      1.91658387218245,
      -53.2738012944789,
      -53.0592731233948,
      -32.8014627061222,
      -26.8792120702296,
      -35.8662300315451,
      -19.2379765750303,
      -27.5546208579278,
      -34.9942419842356,
      -20.3324525133792,
      -48.3012866462238,
      -41.2562108053808,
      -30.6041323981424,
      -43.8990031278989,
      -28.6189819876447,
      -22.8880914127143,
      -37.6584262025969,
      -27.7248799359246,
      7.89579299448928,
      -25.5132086385539,
      -30.0915416894,
      -16.9011830855382,
      -21.8741394870814,
      -6.84217141318402,
      -49.4383527520635,
      -48.3944302611487,
      -29.3130037212744,
      -29.5352215576923,
      -37.1945501307662,
      -12.1508579931378,
      -38.5148111073009,
      -29.0061300455125,
      -21.9084572232134,
      -37.2015656355732,
      -36.639548463779,
      -44.7218740998981,
      -40.2090230429551,
      -38.6870670577933,
      -5.36571676181361,
      -27.9664942417513,
      -16.0748792509134,
      -10.8398529311242,
      -37.2941196320885,
      -22.5346416774737,
      -15.2293823202779,
      -34.8586622892173,
      -24.4398132618059,
      -20.8404140048897,
      -43.6118499516962,
      -15.3112299992194,
      -15.9410134532507,
      -34.647281226243,
      -16.5169546765412,
      -23.2463640959424,
      -22.5727493119103,
      -15.3882676768956,
      -33.6783332729254,
      -41.3096704147146,
      -45.3204037106184,
      -39.8498185907945,
      -28.62678993102,
      -7.11907661980766,
      -29.6666662168161,
      -12.8509445074507,
      -14.0656292594764,
      -38.1053616951378,
      -20.3860702372203,
      -10.1783758180622,
      -36.7382188288996,
      -16.9300103333566,
      -34.3755122056799,
      -42.0021230497756,
      -18.0042533667103,
      -25.974484462516,
      -31.0081711521275,
      -27.8084208554752,
      -31.7192400907731,
      -35.0079303271471,
      -37.7357090019349,
      -37.8862760137461,
      -22.9911835845034,
      -17.3065994797056,
      -28.7981757740158,
      -32.9462916001132,
      -2.62573732878321,
      -19.155978112734,
      -28.7150195914094,
      -20.3051911646667,
      -31.4633661985936,
      -24.0990114207126,
      -39.9542784522519,
      -29.2987184828233,
      -23.1929536643338,
      -28.2433545475207,
      -31.7783219729389,
      -11.4792112168265,
      -8.05302143896292,
      -21.2268896683454,
      -10.3348406258561,
      -45.6820465212542,
      -15.0411277292908,
      -36.2914952651294,
      -36.9065455462083,
      -20.1135087314496,
      -19.7676296338253,
      -30.8383775754189,
      -31.8360892994889,
      -5.09829713306214,
      -20.6451184209179,
      -26.7991595650802,
      -23.8413753242165,
      -25.7511637379788,
      -25.6032377207521,
      -43.7994377652509,
      -18.949172026142,
      -22.8932185026837,
      -26.3862835462941,
      -35.4365916001831,
      -12.4574244474189,
      -2.88668962403201,
      -26.7668207401658,
      -20.4946495433092,
      -43.0942188719781,
      -22.5856326855054,
      5.83133434913905,
      8.10332941335856,
      20.6299685096037,
      4.766870020073,
      -4.94271890516397,
      -12.5280107166435,
      -22.6987741303363,
      -27.7600227354021,
      -21.7422949169676,
      -25.6200593960747,
      -17.7958255596946,
      -7.2932445805493,
      17.1500220453266,
      3.78678214399145,
      9.61379845935653,
      -1.78834431639817,
      -13.4723365944699,
      -2.74867751740126,
      -1.48566360691312,
      -14.717122967396,
      2.50007563479086,
      -18.0448796303999,
      -37.6577842988734,
      -63.7906097357503,
      -49.6795491724935,
      -47.4868797331507,
      -42.1985869911494,
      -51.8739760049032,
      -41.5171773452396,
      -45.6172604897738,
      -39.6408051100248,
      -16.4354183046316,
      -37.4016798992596,
      -26.5331854918652,
      -35.5024806251721,
      -51.8512018676877,
      -41.4899962386025,
      -30.0096582339801,
      -48.6665985461755,
      -38.9875175872693,
      -33.9199401265792,
      -51.7350902895175,
      -16.0838528339569,
      -23.4933655959849,
      -29.4854862187637,
      -19.4414696377051,
      -39.1587071710619,
      -28.9680081925578,
      -18.2505334488834,
      -24.4762430738599,
      -37.0476635738309,
      -18.2224502778133,
      -11.405787693393,
      -21.05353233394,
      -11.283418749026,
      -49.3028424908049,
      -23.4854296215351,
      -37.7961216683671,
      -36.007259124433,
      -22.7189174572765,
      -16.4854095765389,
      -32.215097067042,
      -37.437631569886,
      -1.86440044752966,
      -21.2706627351361,
      -24.0530785550665,
      -17.0981173364324,
      -33.8655098905576,
      -23.5010884310834,
      -42.1468747428331,
      -29.8340776726241,
      -22.580462422897,
      -28.0079550348905,
      -36.7911660943697,
      -10.325995487796,
      -15.3870060346146,
      -21.6951214681574,
      -7.75995253356516,
      -46.3314907109598,
      -24.3707024927224,
      -33.0995684019082,
      -29.2305213206888,
      -28.6432100499456,
      -19.5761117207053,
      -32.731947725986,
      -36.5642969548926,
      8.32322667740266,
      -21.9953198707509,
      -27.9445328869796,
      -32.272378579814,
      -24.1649354462316,
      -31.5024635358421,
      -26.0735204049321,
      -17.377606394071,
      -13.9507658382786,
      -27.9123648849263,
      -13.5585384849755,
      -16.1429124316014,
      -31.3518230661167,
      -19.8466560638354,
      -26.1070898355938,
      -30.8608471571457,
      -12.3056671799479,
      -26.2427481924511,
      -33.930377373176,
      -29.5423715128612,
      -26.4477062736863,
      -34.5578662102963,
      -27.2387910392087,
      -27.4617969808464,
      -31.9596157294428,
      -25.0185077244022,
      -32.9227692692441,
      -27.0899013993553,
      -5.77288740208443,
      13.6476711219468,
      6.90299819216831,
      5.15233367448413,
      1.30730396306396,
      6.08715673017417e-15,
      6.08715673017417e-15,
      0,
      13.9333605763141,
      14.5900062393854,
      18.4104933930053,
      19.7341330271162,
      23.0179918988409,
      19.2104964183068,
      25.0288290072352,
      22.2739763910447,
      16.7437031688203,
      18.4112271477038,
      8.8611662447458,
      27.3341728462764,
      27.6672700199716,
      32.2298141430309,
      33.4120212040197,
      26.8291187274384,
      33.8536351868276,
      30.3906667045346,
      29.3981934277222,
      32.1322537815076,
      28.1536818744771,
      35.020031585101,
      20.749916066861,
      33.3424448794534,
      43.8672651571595,
      72.937468328839,
      54.1210357222617,
      45.5761455530178,
      67.7608183297796,
      56.2609679768272,
      45.7466352948937,
      57.5774420792233,
      59.2260598640088,
      52.4507674732651,
      61.2250412779451,
      33.6225183416557,
      33.518144014005,
      39.2639978980334,
      28.1746567843891,
      33.8900619711062,
      46.1245428597516,
      34.8035612101486,
      52.7212237267944,
      53.1449034228152,
      54.3062253457843,
      25.2003093419134,
      33.0001372045349,
      42.2160209087872,
      75.6128043609156,
      52.5434699019151,
      46.450570170102,
      73.9099501107125,
      54.3819912974243,
      42.8494133629612,
      61.0219795638594,
      56.3145850752411,
      51.1523788803712,
      55.4962071550626,
      32.2857533910729,
      34.2316788103065,
      37.2038926341751,
      28.6193868292592,
      35.2325739932201,
      48.9232728026163,
      44.0902762901412,
      52.8237329035711,
      51.6144423565103,
      59.4987874163489,
      46.9412386844869,
      22.6481889790178,
      32.2406804421239,
      53.0963806874041,
      40.352655805516,
      32.7174172604763,
      54.3432118085941,
      34.6617426504031,
      49.509005000405,
      38.6349777789016,
      53.144441508604,
      53.7833382787355,
      51.6439636248043,
      37.7816624798081,
      25.4356417252913,
      36.5194008546671,
      30.2225515250576,
      53.1270848884169,
      48.9986172972939,
      39.6149252346781,
      38.5284977327095,
      28.4759801671686,
      39.3580617539282,
      48.3916099071273,
      23.1318507662427,
      29.7977682601549,
      58.2104778950216,
      38.8626949221099,
      36.4112176978077,
      49.8601413875238,
      32.8699516523328,
      51.9832160376471,
      34.0353012188063,
      53.2467638888535,
      50.39625335809,
      54.2155396276372,
      34.6078094176627,
      24.4973928525464,
      33.124367249866,
      29.0990691741785,
      48.867313710838,
      39.7584353353533,
      43.019493436246,
      31.4676001261336,
      27.4295474831462,
      39.85532514472,
      40.592937401213,
      17.2488961098992,
      46.8654486989049,
      44.5806301755399,
      45.0947924225011,
      39.6280448546537,
      35.2058183471909,
      31.7438809185996,
      41.2756386575404,
      56.1249048907669,
      30.6482723917213,
      43.430236622186,
      21.3648583594779,
      41.3452237538909,
      52.0629220013464,
      39.160779781341,
      47.4629229239213,
      38.097712414191,
      34.1105816833601,
      41.1647532539475,
      35.342924944934,
      45.5651112065208,
      37.2515095823008,
      40.400185432016,
      20.5470261372446,
      49.9982360707465,
      41.9918585505941,
      40.6625164218839,
      38.939835114041,
      31.5588972419019,
      39.1192457568075,
      37.8387743396215,
      56.7784919264852,
      27.8387971425055,
      50.5760124921984,
      19.3063808202726,
      46.2346642828619,
      47.6484710995163,
      42.0689640871835,
      44.1221309331472,
      32.6027216484628,
      39.9658296045026,
      43.075969596296,
      41.3654038260445,
      35.9263379621183,
      41.0450986653767,
      36.0103094891284,
      50.9498971669101,
      45.1705542002386,
      29.263762711096,
      23.611446186333,
      56.696041204145,
      60.5707385139015,
      45.8453720219975,
      51.8547938231441,
      63.2417297795229,
      42.7692840370707,
      27.7884579166322,
      38.6960578829087,
      48.0175535623153,
      66.7637922146481,
      32.1419397691339,
      24.8546592161467,
      58.2102293756889,
      65.5120038722431,
      57.2059844810187,
      54.1168825588106,
      67.6880708891193,
      38.6300896647948,
      23.836792930772,
      54.2344912462311,
      47.926570539737,
      27.506873538041,
      32.2995572291858,
      53.8237768335087,
      59.4348112577442,
      45.8200201749626,
      50.1645580561919,
      63.1183631646457,
      38.0163477572866,
      31.059377631839,
      39.1684096768738,
      52.323244977486,
      65.6166871683865,
      26.0045420307378,
      21.6799368867267,
      65.7760609959457,
      66.6610827363111,
      58.2377298652327,
      56.5497142841685,
      63.31696444357,
      37.0643452953081,
      35.9976765172354,
      49.1779552759432,
      38.0007747471538,
      59.9223854516734,
      42.6860504821304,
      55.9400059320093,
      58.0468507321202,
      41.9644856266379,
      69.1180330548212,
      53.8525218104002,
      50.8315859603389,
      46.0774269044089,
      33.5109742814163,
      42.3504195472872,
      59.7543648367274,
      76.2347027949054,
      35.8232738636151,
      56.1087326525409,
      64.6459513451922,
      45.0642049286387,
      47.0243915559872,
      39.8076639991088,
      48.7385797434318,
      49.6075977502544,
      50.8152809271653,
      38.0905689012476,
      52.2873477860748,
      34.1937763352897,
      54.8836514237738,
      55.3135036283431,
      35.0510755387394,
      69.6203682545817,
      52.3121538709462,
      50.3806132148034,
      42.6183657774615,
      35.1688666175368,
      39.8999918469117,
      59.280471749272,
      71.1631848406738,
      37.3192323040556,
      54.258511357626,
      60.3309340218677,
      44.9162561558164,
      37.9713938405406,
      41.8971575362918,
      41.9518004798551,
      23.1408448117895,
      43.6251585294906,
      46.6708885013353,
      38.3385044100823,
      46.401610371489,
      33.3948631084099,
      31.5667730652158,
      38.3121978299176,
      45.8932393742483,
      38.0628596644391,
      42.2100735960165,
      39.3755930639072,
      29.9088003042325,
      50.654242439648,
      45.6744965530157,
      36.8843622599679,
      42.3814371977556,
      32.9708607483935,
      45.0329226465027,
      38.8077668566018,
      54.5792999385936,
      28.3947022709132,
      52.3346532443971,
      12.2083971109106,
      48.7042592121803,
      49.5012002387398,
      42.0135285578535,
      42.414287609488,
      33.0524571806309,
      33.1098400643253,
      36.6829402793981,
      46.7679538133325,
      35.8782898880876,
      44.1457057864245,
      36.0947101967669,
      27.8583258478426,
      49.0117622798458,
      43.41505953798,
      42.0260114620041,
      41.7385904196314,
      35.6203099244621,
      43.1026022169411,
      33.3870722154486,
      53.2534002138633,
      30.4093739098701,
      48.3438689278935,
      27.9707858616638,
      20.9814857374658,
      31.389297709417,
      54.7716852941095,
      55.147044009986,
      59.7291493152531,
      38.6486990146663,
      109.596349181362,
      49.8282676173071,
      61.7193021900984,
      41.3715696818235,
      56.031585417559,
      65.6415631347844,
      73.6955287944474,
      86.9027582518485,
      39.7631041410089,
      43.4859752619612,
      47.1348152654826,
      58.0448324346149,
      82.1791480986576,
      71.4744439988801,
      70.6248546808963,
      22.3442173485695,
      11.8032771031585,
      31.1543305399274,
      27.7346038758129,
      33.8324467994223,
      19.2943612631911,
      37.8132605489248,
      12.7839355537484,
      40.6352443256172,
      53.3849819591597,
      26.7633068274067,
      40.3290398765726,
      46.6396351281531,
      49.4150533353454,
      39.9509940844675,
      34.3695088776595,
      29.7362804931872,
      31.7698559442392,
      36.1967108771083,
      46.6053542584262,
      60.5194520911643,
      55.7364661931655,
      37.8794256918026,
      28.2222430645574,
      22.9906173457643,
      46.9653614565129,
      44.0025105407506,
      39.5813788738512,
      41.3434700863347,
      38.6697634718051,
      33.2324792395715,
      38.8034106896225,
      55.5625006851248,
      28.5184113332762,
      50.469243325753,
      21.2966484766897,
      44.4762225712999,
      49.571675610576,
      39.6686241392964,
      45.2828134345849,
      38.1050101004141,
      39.8513290720678,
      43.0949778771332,
      44.1267699480086,
      41.3644575042974,
      42.6315013269522,
      38.6598550011119,
      25.4215431457723,
      50.5902627821253,
      47.1174866865178,
      40.7640456422391,
      40.3672923289318,
      32.066612593419,
      37.3881596292019,
      41.5774081765236,
      54.7416336152855,
      26.1856117912088,
      45.8869882385444,
      17.7405264761653,
      50.7336388087351,
      52.6482303210152,
      45.1017144576977,
      43.065539014738,
      32.8239624866563,
      39.5576128598483,
      39.747187529586,
      45.2140133951812,
      36.4897236043014,
      47.4718766491142,
      27.586280114307,
      5.48081247995998,
      5.06641289537714,
      -1.83772986219836,
      7.82938505257325,
      -2.47219079488127,
      2.29129167050602,
      8.42895343365198,
      6.19066413580999,
      8.86215905438493,
      11.5610881744984,
      6.22683314858653,
      -2.10514748961279,
      13.8681557221305,
      1.30473004903882,
      -4.99781655101511,
      3.97443319404417,
      -11.9845087825002,
      -13.9573205838293,
      6.90246280767037,
      -9.1447219788044,
      -11.4618941062588,
      -0.652667039385068,
      -11.5634248076047,
      0.790403576233019,
      5.58556223995327,
      5.12637504176246,
      1.30196703511068,
      0,
      0,
      0,
      9.03760511665788,
      17.2950049461971,
      13.140790727859,
      17.7922476820506,
      20.2112940599688,
      18.2172680235365,
      16.3070154735222,
      18.3839892769552,
      14.4869158308093,
      15.0804493186408,
      12.9354266019044,
      14.0722217952494,
      23.1644965088425,
      25.9525819192654,
      24.9633362286674,
      24.9521482268298,
      27.3334933965958,
      22.5128510203679,
      21.3644185143502,
      23.8521639515977,
      22.2641641978392,
      13.5411128692977,
      -31.4358278484703,
      -26.7542497844965,
      -20.4610697544525,
      -8.4468972340129,
      -22.5701153471574,
      -16.3047230414423,
      -1.72729088466552,
      14.1735183695232,
      -11.4462756767593,
      -3.50367228899694,
      -4.46068038425661,
      -2.26921423538789,
      3.93769786782279,
      -19.7694634604893,
      -24.4266836847322,
      -6.4105388797555,
      -11.4657771920135,
      -22.9138269238057,
      -8.99513344989205,
      -10.0893561584466,
      2.71459210044614,
      1.45358116375951,
      -2.41626895033497,
      -25.7776567447286,
      -22.6052760984443,
      -19.733481553564,
      -7.28022511945274,
      -21.9234689606675,
      -12.1222169540181,
      1.32360300743199,
      6.77516818743903,
      -10.5062281766205,
      -3.65566578486605,
      -2.49685913159518,
      -2.19453795163619,
      6.30289227789035,
      -19.5942426346004,
      -21.7680580087605,
      -2.91995923902106,
      -15.9632665542732,
      -21.0899253218045,
      -8.5068009398533,
      -16.2659233359254,
      2.27656330950577,
      9.92941545030397,
      -5.96927618919364,
      -15.989682793448,
      -39.3690422912456,
      -32.2295067873716,
      -16.0076514919102,
      -5.82035822755859,
      -26.7845362552085,
      -31.2601666906218,
      -33.8327152534853,
      -27.3439017912578,
      -31.0282266631278,
      -17.7569768965712,
      -11.9593671916336,
      -24.266426815676,
      -18.8036225509499,
      -22.5074556570611,
      -6.61317977190579,
      -41.082121165404,
      -26.074978704826,
      -20.8984270415459,
      -39.8661634855934,
      -17.9757797099105,
      -13.5632258846037,
      -15.0293205866206,
      -22.4153368100158,
      -41.0410011925467,
      -31.2212955846522,
      -13.6784018595819,
      -7.43235828259065,
      -30.6439751202583,
      -32.2094412491964,
      -32.5322837686061,
      -29.5729891655428,
      -31.6073521714652,
      -20.5413179541706,
      -10.3601657647097,
      -21.6424460139086,
      -16.8878922886544,
      -16.3592576594726,
      -5.83478114207939,
      -36.1070998151828,
      -21.5745566242133,
      -31.0138295150253,
      -41.2257754249625,
      -28.2875128660502,
      -24.2635506985068,
      -15.5068381691271,
      -13.926306634286,
      -23.2949027605312,
      -11.262798072978,
      -14.0673325983468,
      -6.70107227704836,
      -10.9811424251398,
      -23.0551999457352,
      -14.2538889392061,
      -9.16212284712207,
      -16.3727318683634,
      -26.7431082574741,
      -18.1681475551174,
      -30.6183837303196,
      -10.1529845452374,
      -16.106786589126,
      -4.20621637933302,
      -16.4072335022029,
      -14.7355175085716,
      -8.87189877933389,
      -7.60091599682247,
      -17.456948565365,
      -22.0178824280747,
      -23.8070896637183,
      -21.0026132729629,
      -21.0823556983297,
      -15.7784125759116,
      -9.51077860902763,
      -5.73899139727715,
      -13.6913800448433,
      -25.0904825957571,
      -17.9134306062766,
      -8.50374004245159,
      -14.4112418849397,
      -24.2449150200309,
      -19.2345762922252,
      -32.109684379908,
      -9.3393801326781,
      -11.2718501876451,
      -8.24671037638521,
      -12.0959903738254,
      -12.108269319648,
      -5.9075077137493,
      -8.78649902002504,
      -21.1697945079073,
      -21.4440457464557,
      -12.8470773366272,
      -21.0898548581233,
      -39.727597211521,
      -21.9214303016884,
      -1.85895891449175,
      -11.4033450508976,
      -21.860758246242,
      -27.1571493841519,
      -22.0776243165154,
      -3.99325226449894,
      0.553184417115964,
      -6.32331295717443,
      -17.7906752678579,
      -2.66135848837774,
      -19.5005741340151,
      -13.1228841069132,
      -36.5118427184186,
      -35.1731763698416,
      -16.6844451693532,
      -12.9224602798781,
      -21.9102919077966,
      -10.2947624241398,
      -32.2153009628265,
      -8.83287604636277,
      -12.6253983927176,
      -39.5505008124611,
      -13.465837131009,
      -3.78240690701659,
      -10.857445929673,
      -20.7194393139617,
      -26.0711608507906,
      -21.0264917266252,
      -2.29412784262785,
      6.32019633405552,
      -6.82396757638806,
      -13.9382129375921,
      2.13838970073867,
      -21.1829570099853,
      -17.3620297580063,
      -37.1850389324697,
      -35.5024639720495,
      -15.4140822776145,
      -19.5993045866954,
      -24.3685387219039,
      -11.1014569538319,
      -32.2111845340636,
      -7.67156217381254,
      -1.25593158987541,
      -14.0308678738105,
      -22.9033151452175,
      -16.6188915232691,
      -18.7772680004982,
      -37.6368000356369,
      0.82837247883899,
      -12.5920746959393,
      -0.403173116683687,
      1.6624979557919,
      -12.2808825091681,
      -7.42892913002388,
      -24.6594907866861,
      -15.420993600913,
      -9.40852181247466,
      -14.9375065197309,
      -41.340142068202,
      -22.1273061739063,
      -7.60814676180736,
      -6.96362890151479,
      -8.62130856637792,
      -7.59864213694645,
      -9.56338753750581,
      6.83021458321733,
      -16.1261052991155,
      -24.320322115265,
      -13.5743136767798,
      -22.0380376601779,
      -35.4690720657525,
      6.37020873078242,
      -13.0230283888446,
      2.00331706753023,
      -1.28451766491366,
      -18.537327583343,
      -12.1016944308524,
      -20.7822763630289,
      -15.005867438416,
      -12.8154921897351,
      -14.2327027119604,
      -35.6776966045191,
      -29.0099127406474,
      -5.45078256881595,
      -16.8216326622079,
      -15.3239999314989,
      -14.02859200044,
      -8.63196217122935,
      -27.9566374687185,
      -8.8083566651766,
      -10.0205496665513,
      -9.06621492748741,
      -8.80292632238443,
      -15.1567743307658,
      -19.7154994354876,
      -17.3164905249949,
      -14.4675246110008,
      -18.4309551352797,
      -19.8524225374369,
      -21.1194964377913,
      -16.6128141216295,
      -19.4113986468637,
      -6.99274474552325,
      -5.04701601764,
      -13.9211534885327,
      -22.6299282791174,
      -4.12430124727165,
      -8.79936633686732,
      -14.8217982533638,
      -20.0188912718645,
      -18.4233774124811,
      -26.8734879348815,
      -8.25152405374028,
      -12.0733582823973,
      -7.50403849959961,
      -9.23920207401344,
      -16.853120828731,
      -16.6004995297681,
      -12.7820777832192,
      -11.3242272202575,
      -21.1650861273587,
      -18.1585064222181,
      -25.229523125606,
      -16.7581779541052,
      -17.7048278008716,
      -0.847167581805151,
      -10.8539774617707,
      -16.5888941998716,
      -24.6802658155806,
      2.03890668528286,
      -17.8764047561365,
      -20.5643802807363,
      -24.7068504425761,
      -18.2338205835379,
      10.6234583204892,
      19.8371125428234,
      17.8531038836009,
      -33.148569298814,
      -20.0934025771832,
      -5.07647154716288,
      -10.5091906910677,
      -0.870878893499902,
      -37.4661879317572,
      -26.1882123513411,
      0.985128768761605,
      -9.4362119303924,
      3.67785150428756,
      15.139111336734,
      -26.2972133233933,
      27.0846402790107,
      -24.0267848838876,
      -23.8961779850677,
      -10.0072024244219,
      -13.4293872309093,
      0.141366041543146,
      -14.0126235356152,
      -39.7378419252855,
      -54.7959599112364,
      -33.9720489094785,
      -23.7509838710975,
      -17.4454726182036,
      -28.4402357884899,
      -27.5145931715452,
      -32.5843915330317,
      -13.6006202754385,
      -6.38986390067717,
      -19.2205330120401,
      -8.34079517820978,
      -14.7422010914532,
      -21.4630846687746,
      -19.5378984917957,
      -8.71465212566772,
      -31.3851162850529,
      -20.2363480043967,
      -20.1990146242706,
      -17.5589082912983,
      -5.09655400384076,
      -10.765145065922,
      -13.1013623619141,
      -5.37402638305843,
      -23.8495987135775,
      -17.5009923993782,
      -10.7842256266586,
      -4.97128007907392,
      -15.5349901434774,
      -25.8813412067991,
      -18.6357517591116,
      -10.3983323887992,
      -18.2961194854578,
      -21.1658872121468,
      -18.6713217640635,
      -26.353159896743,
      -9.93252075774325,
      -15.6637979736815,
      -8.46846701513294,
      -14.9088588827904,
      -15.7625437693882,
      -13.9020141418429,
      -10.2440248777711,
      -13.5642698165824,
      -14.0350122413812,
      -9.13394506888964,
      -24.8499513992814,
      -16.646496774896,
      -19.052752583634,
      -7.18013811916178,
      -7.02983938958529,
      -12.7037805616441,
      -21.1857468057709,
      -17.7870339629879,
      -9.42543076001259,
      -15.3210001584772,
      -24.8855351059782,
      -21.7036085163695,
      -25.6275267742914,
      -5.40696627763777,
      -7.7298043182467,
      -11.4459011853493,
      -8.44139809385557,
      -25.6490971617011,
      -2.72399159570979,
      -9.7127664210871,
      -19.6366986099455,
      -27.5818052017141,
      -10.7762643669978,
      -24.7606258787487,
      -27.0958633232026,
      -24.1512038754478,
      -29.6299925410702,
      -25.6534151557986,
      -28.1470310862754,
      -35.8031183186067,
      -28.5797199354636,
      -37.5089889530591,
      -42.2171697064231,
      -23.6305711710753,
      -20.4494985252812,
      -26.0288641183058,
      -26.4438705505236,
      -34.6839811996203,
      -33.874864033751,
      -26.9827172804741,
      -35.9659354265091,
      -34.2660840810874,
      -26.5505343693283,
      -31.7555583127821,
      -35.807894945166,
      -27.8098266688351,
      -18.5613219103452,
      -5.96751221205406,
      4.59117980991045,
      5.0974777879396,
      1.29601874441294,
      0,
      0,
      0,
      14.4217568592759,
      24.0315187698514,
      23.2518183442292,
      27.235757391222,
      30.1106775277737,
      27.0959063151748,
      26.1397286428146,
      27.2021685110359,
      29.1716412235125,
      22.3995838132617,
      21.0168952162027,
      28.0295702863213,
      40.7780684265944,
      36.26462682146,
      40.2590758106851,
      40.6086913296939,
      38.6401175558116,
      34.6528213998678,
      36.6904218528412,
      40.5493344253675,
      32.8671322361845,
      40.1171840680473,
      22.1150616569832,
      25.5099780833417,
      33.8511655914676,
      21.41854848791,
      22.2863494928405,
      33.0055498307169,
      23.8355191476361,
      25.1621849765229,
      26.2628138548067,
      23.5592488754158,
      44.1489935412243,
      38.5107321203973,
      31.6698324305542,
      26.4055881865063,
      29.7221952657122,
      33.9872361271417,
      22.6224255739718,
      37.2844853688009,
      9.25272605614238,
      30.301357459298,
      33.6435171854718,
      34.2690153138561,
      36.8719895179756,
      22.2533068916501,
      26.4529043186289,
      35.4144065578761,
      17.3429216087379,
      25.8696322802819,
      33.5186009717986,
      30.3696515718866,
      22.0979996802658,
      30.7379161699517,
      29.2583267364137,
      43.5484955707501,
      38.6221977114826,
      27.1249493677018,
      26.5142084134203,
      26.737363453083,
      34.0667814874832,
      28.4959008376322,
      34.3971178603181,
      7.85435629593431,
      33.6708127721005,
      35.8115633476376,
      36.1519157759168,
      31.9513665899346,
      41.5220590934554,
      46.8441814500373,
      36.1417329028674,
      34.6899288130213,
      30.2496756391499,
      33.65922144438,
      30.9664015731334,
      32.6734238566679,
      34.834000301565,
      23.9754452653478,
      19.9965736118466,
      12.1329388055361,
      18.7242293322215,
      17.0860971811477,
      23.9652977132133,
      20.7675212991251,
      30.8221436744866,
      15.3718466443538,
      12.791754392109,
      23.1836206544129,
      24.4094552746334,
      22.5896382889659,
      25.6706440031453,
      33.9794119673148,
      42.5271816399845,
      39.278822933656,
      33.4807982414112,
      26.2325771424233,
      34.7190137209095,
      31.565529013006,
      33.1755454038854,
      33.3904760505294,
      25.1537186287308,
      23.5620876483661,
      16.1479988782525,
      15.8568741089836,
      23.7275000345635,
      21.8988920503849,
      18.180904619457,
      29.1014947990538,
      13.8051254097262,
      9.72725040897391,
      23.4708353982302,
      16.3984588447557,
      12.6333340233603,
      22.136435300454,
      28.6744154534117,
      15.0422189240631,
      36.4493099411634,
      42.6040071753371,
      31.7913970682668,
      42.6972773862862,
      49.5108826844646,
      14.6563049917232,
      30.4482588898541,
      31.1118507943024,
      28.9084696762828,
      21.053813766749,
      20.5279315626883,
      30.5347216864726,
      37.2917460271209,
      40.4255328300608,
      35.077293874654,
      44.3888862137907,
      30.3777881252074,
      25.0010334693472,
      32.1836737950647,
      20.3322828770141,
      26.8201630088823,
      24.7283181684502,
      21.1045343886758,
      38.1538490541012,
      39.9989968173994,
      33.0228073330034,
      43.5949591785812,
      49.3779778542656,
      16.161467430647,
      30.3103177872338,
      27.1122753391799,
      24.6287168383375,
      18.9588379810412,
      17.2394445042795,
      34.2782027739485,
      41.2427108363618,
      36.7551849866164,
      32.7803839825116,
      44.6909200640083,
      27.9312186720199,
      26.5476469460636,
      30.8329022330535,
      20.2954464551159,
      27.4082432756672,
      21.8995563455552,
      44.7700470138031,
      26.2670709132765,
      18.3352978062111,
      18.3242812483282,
      41.7777422587659,
      47.6105787265651,
      40.0213558643569,
      28.9362564536973,
      2.93674636744992,
      14.4061436610055,
      35.0510159559184,
      20.2836483516737,
      13.883746935977,
      12.8603659946023,
      46.0401574610097,
      38.500509783057,
      42.8314905236572,
      26.7299902109321,
      31.4857749105438,
      20.3928197305632,
      47.776019760906,
      38.0655552818854,
      29.6056046951531,
      45.4721483798129,
      22.1299078891902,
      15.7930741797686,
      21.5520087035799,
      42.1070122603868,
      48.0100520110243,
      40.3599499865315,
      26.5711865881859,
      3.31049935524786,
      16.3998179068458,
      31.8410120050048,
      15.7153544982182,
      12.2355835501807,
      22.3739077926476,
      46.2556270851042,
      40.4848458257761,
      42.4588785086304,
      24.1048612713788,
      33.8183710157691,
      23.5803158690709,
      46.9280528377343,
      41.2576208079531,
      24.6287830325922,
      20.6275879204265,
      46.315688219597,
      48.6001197291002,
      29.2318230261624,
      34.8938719698336,
      3.26914266894627,
      27.3140798578729,
      40.2723896065392,
      21.7265760879156,
      26.5941112234165,
      50.5051630846779,
      28.8203972534702,
      38.4876140913237,
      40.6441397572214,
      38.4641222057235,
      28.8536933226244,
      30.3302914341503,
      30.4841522051196,
      32.1556586448094,
      28.7571256576371,
      33.057488298745,
      43.3552130468271,
      23.4198717216855,
      20.8226998360422,
      49.8481110930886,
      46.9142544491877,
      29.4641214524877,
      37.8427286440294,
      7.35505707712222,
      28.5389025195717,
      42.0173657884649,
      19.4475242500525,
      36.5790382505036,
      44.4041087932819,
      31.2203209262654,
      41.2320005470818,
      43.8295671533021,
      36.574164421916,
      31.8764708992974,
      30.8055216672593,
      31.6210498925559,
      33.6502527545141,
      22.0663383781166,
      34.81066899705,
      39.9683443459935,
      23.7072698705124,
      33.6391186331072,
      39.0178933013795,
      36.4096208462369,
      34.1077705630599,
      54.2174314504226,
      22.7905336978113,
      22.6942570071345,
      36.5084508340602,
      24.0610867821849,
      22.5608642625513,
      25.353298726367,
      20.1148833333946,
      39.5583995837769,
      36.8332644145427,
      35.4214065675473,
      35.9460508658916,
      43.1009585924896,
      23.8172427859075,
      29.0053456562495,
      36.2247514595922,
      22.5895244212886,
      22.7878637500734,
      16.6947934779686,
      34.0704465265325,
      39.9834185259514,
      33.8711823070195,
      40.6433685909837,
      54.3558482610185,
      18.2598436474226,
      25.7333257965704,
      31.4509590274745,
      26.2024333287714,
      21.3354981293792,
      20.489841963369,
      24.9906627376754,
      37.1347411984786,
      38.7686894530073,
      37.393159567786,
      39.4870214961862,
      38.6233765381309,
      30.9142012589347,
      29.4656061768972,
      28.9477900436242,
      28.9790125983913,
      16.9732374062376,
      28.9776217665547,
      30.165115386597,
      25.3701747829836,
      11.4088193478498,
      43.3518897428336,
      11.3920900239639,
      18.212264308033,
      35.4083937114,
      32.4093765648586,
      -0.935959844367123,
      17.690371672491,
      37.7835288463656,
      32.7792969806502,
      30.7763209253244,
      17.72797037512,
      49.0238838674456,
      -5.13341976045978,
      5.32017060402203,
      14.4936227259873,
      33.0749400246069,
      45.4636535444773,
      44.1412960017382,
      10.654969055268,
      11.9088342211637,
      26.0817148683448,
      47.2966424607582,
      38.3453200959346,
      26.9054143304734,
      51.8240750672918,
      44.8525265045803,
      39.9897629168829,
      33.4146574666164,
      22.1137541666899,
      30.5254672552642,
      47.7355961845249,
      40.3799387511262,
      44.6987791585854,
      42.501596949462,
      30.645760917012,
      42.0451595705279,
      51.2010084004717,
      36.8886618353855,
      40.7111266522579,
      29.0091938799554,
      30.2621340728607,
      24.4545981576681,
      22.2915214242234,
      40.2211722804446,
      39.4425774097176,
      33.3321760317314,
      42.2347756465373,
      45.3112485042236,
      21.9203029561539,
      34.3326873990415,
      34.6597019451494,
      26.5405055704929,
      17.7654586923072,
      17.556442298663,
      30.8292863922694,
      40.8049623409798,
      38.809912232654,
      34.1740226998925,
      52.6165342523038,
      25.7646951559499,
      23.7647974028693,
      36.7172457088287,
      22.523092952762,
      20.8531517972284,
      21.7874018928773,
      17.2546175006929,
      37.7939886881171,
      35.3892705471664,
      38.3121595733086,
      40.3560491907669,
      45.2820161574828,
      22.2070762274419,
      33.801933260617,
      34.203313129114,
      24.4517520902641,
      19.653072857514,
      16.0971594722539,
      32.7375037391682,
      39.5024202740341,
      35.387287203385,
      31.1496162771533,
      51.2070159775162,
      22.3173547826984,
      29.8851523956261,
      35.2402136095018,
      23.9681564839023,
      23.2034042548999,
      17.6932215545205,
      7.59377509070026,
      1.61057428593192,
      -9.05615188521964,
      2.34440377978544,
      -6.8729121439608,
      -7.39773224332473,
      11.2404417676765,
      -1.83283920208611,
      1.89145703564502,
      5.20852410836117,
      1.8783421456244,
      -18.6989744265454,
      -12.6134823023174,
      -22.2252127830724,
      -23.6351523056755,
      -12.5395862673844,
      -24.5674193042841,
      -22.8847459293612,
      -10.6020509825711,
      -25.7814042207174,
      -20.5404007514377,
      -13.8976744225805,
      -17.1146468995286,
      -2.73516608707422,
      4.53164917682987,
      5.06567976581635,
      1.28946454917649,
      0,
      0,
      -4.05823156404692e-15,
      -11.0629920895078,
      -8.52686860278405,
      -9.44909644134423,
      -7.34792990979768,
      -7.6173460570628,
      -4.92127746080638,
      -10.1672216063736,
      -4.11296431674841,
      -4.71805187031321,
      -15.8442670551561,
      -15.3366706641576,
      -10.9880501400615,
      -7.96934265381432,
      -0.778903298897201,
      -6.2588992512873,
      -8.26191648508651,
      -6.00522122483317,
      -0.787327286120426,
      -7.87601908553656,
      -3.54180536076497,
      -2.02163755525192,
      -13.0368966857813,
      -15.3152939644139,
      -10.7914227430446,
      -14.0599977174024,
      -36.9602001883194,
      -24.986277600505,
      -19.622579982471,
      -38.3368140458181,
      -31.7269237123581,
      -30.4775144960646,
      -21.705297814028,
      -16.4114188534437,
      -23.0805485732456,
      -28.961165257283,
      -19.7180695647922,
      -18.8562576488477,
      -5.62485454661323,
      -23.0245509461679,
      -29.2947042071835,
      -24.5842724490478,
      -20.2548348577507,
      -15.9765439627484,
      -28.5137468087369,
      -23.4847363072345,
      -17.6142061370997,
      -10.1598293033257,
      -20.2828434027141,
      -39.1275006831977,
      -23.3965537132988,
      -23.849514594093,
      -38.8955981518156,
      -30.9813286693761,
      -29.0252950503536,
      -23.0065615247834,
      -18.023357714569,
      -25.4232781669851,
      -26.1737678112401,
      -21.7076242547026,
      -18.1709478166671,
      -5.9991763144909,
      -26.9002533273187,
      -30.194896037178,
      -22.500114425154,
      -18.7324193152283,
      -18.1429302359358,
      -25.9245332760041,
      -23.1231177579656,
      -28.6743355280809,
      -16.4936982341498,
      -20.3469124777781,
      -41.1406492058136,
      -31.1373936640809,
      -27.0345616061173,
      -29.2994791262646,
      -28.9164908015554,
      -21.6597166322855,
      -14.1227720935593,
      -1.97307877533482,
      -25.1642782891965,
      -26.2205494931109,
      -39.9398970400255,
      -26.2064357951493,
      -14.2163646091736,
      -25.2347122042934,
      -40.1690714198321,
      -32.7525658110978,
      -30.7734398976001,
      -23.9740282313308,
      -7.36764964315207,
      -21.2972241684558,
      -26.2028041890624,
      -9.07424926681347,
      -19.0592308718389,
      -41.5044036270437,
      -30.7430531040429,
      -27.7168227164646,
      -27.6164646841754,
      -28.5014090730887,
      -24.4044765979779,
      -12.6060213050751,
      -6.17267993495705,
      -22.8772871655137,
      -23.522963667213,
      -42.808990610654,
      -25.596014656955,
      -16.5362735413333,
      -28.0954341095105,
      -41.55233189498,
      -42.1736570929502,
      -29.1521897176357,
      -38.2621920128158,
      -14.7681263481241,
      -27.0960390680131,
      -23.8403769414649,
      -14.7916779941415,
      -35.1072537596215,
      -16.9464583666018,
      -15.545229293308,
      -16.89470427073,
      -19.5154574069956,
      -23.4740502340217,
      -34.9788053661973,
      -29.8692183493029,
      -14.2424253392179,
      -40.5478187322691,
      -14.1719047535484,
      -31.1239365046241,
      -25.6453113443685,
      -15.2927571136963,
      -15.1564646100426,
      -19.3036040588542,
      -13.579819743146,
      -33.3704100857215,
      -39.2022000561946,
      -31.1106431330251,
      -25.2186402578114,
      -26.6817577826581,
      -24.3802958639809,
      -33.7838397109344,
      -18.0777748447051,
      -16.3024675511491,
      -10.7660801076407,
      -17.6206190682139,
      -20.9686091098216,
      -39.5101559252584,
      -32.7875395644059,
      -14.4608460238171,
      -37.6794257246666,
      -15.6630414435792,
      -24.7072758467245,
      -25.4439891995158,
      -12.0333020263195,
      -14.3751874499617,
      -20.3268605716927,
      -10.7561171844466,
      -36.2337119330287,
      -36.9428240761046,
      -28.086369143862,
      -33.9641092538399,
      -10.807150864412,
      -32.4569170179218,
      -36.9020257323304,
      -27.9988869244106,
      -20.3282539093644,
      -19.8712274566294,
      -36.6607020016977,
      -23.0028644300257,
      -17.0554896172901,
      -35.517588558348,
      -20.2387413287398,
      -22.8150099129592,
      -17.5431227358117,
      -33.5212788974452,
      -34.2888243671958,
      -15.3445677016507,
      -18.6636847944477,
      -31.5304362680361,
      -35.3004489596177,
      -33.607654682378,
      -25.823984005098,
      -32.2577656704839,
      -16.2371041900535,
      -9.80417616480391,
      -28.7327166686219,
      -42.3502078622501,
      -23.1291673795023,
      -20.6456515954691,
      -24.5677840636095,
      -32.6193733239617,
      -23.0894907931472,
      -18.1322276955497,
      -38.1952214313303,
      -17.7552646253567,
      -20.4428467173923,
      -15.7658283318235,
      -36.9823594634815,
      -35.8626036956454,
      -18.4001350403424,
      -19.550208231201,
      -34.9999266681311,
      -36.642518560075,
      -36.7927527112242,
      -20.4772185241121,
      -28.1359030842914,
      -17.1699977532929,
      -8.72866258697016,
      -23.38222347997,
      -3.10517349616151,
      -18.2441410930619,
      -25.0997358243715,
      -27.723595215505,
      -27.7962594574821,
      -18.851886851783,
      -22.0217713881447,
      -23.1150736694005,
      -21.6678752933956,
      -23.3193909851135,
      -14.8362840339745,
      -28.0211888597415,
      -18.0915729866827,
      -43.7273013423695,
      -35.1693373760405,
      -34.2086600796392,
      -42.7244100597129,
      -13.4366773293561,
      -12.1796707822333,
      -6.90544853527318,
      -26.0354651413071,
      -14.9052437849754,
      -28.3318315549012,
      -6.48848907021271,
      -16.6388130334262,
      -24.8687154525152,
      -29.1903382576076,
      -28.8665696141138,
      -21.6299072911837,
      -20.8311082666004,
      -18.7946604342698,
      -21.8510909838228,
      -15.1909128261879,
      -19.4097121332084,
      -27.0419823376653,
      -19.4147858438199,
      -44.0375665099767,
      -35.1714941089535,
      -45.5130739385168,
      -30.8450036615803,
      -18.9399372114662,
      -20.617667426868,
      -14.4771073875043,
      -34.576092834101,
      -15.9696001816852,
      -25.7029649566186,
      -29.865093772847,
      -11.7386982040377,
      -14.9391714448602,
      -16.8072880739629,
      -23.7935169003564,
      -30.5262691359977,
      -36.7562392170332,
      -19.6426415407446,
      -34.0294684486574,
      -11.5480027744172,
      -27.12497498312,
      -24.7345285087182,
      -19.5421823765114,
      -12.859154434522,
      -12.6777023882769,
      -16.6871194239403,
      -29.784522696942,
      -37.7106200154962,
      -34.7240809725767,
      -17.9270744671341,
      -31.776379801431,
      -16.4639507190957,
      -30.7345464916547,
      -27.1792608615118,
      -12.5218338026702,
      -13.7872556467353,
      -16.4019936036643,
      -22.6235623723214,
      -36.6566875311705,
      -33.1166071096557,
      -21.1170066897039,
      -35.892620719833,
      -11.5805802398274,
      -26.4238288179174,
      -20.7375678357219,
      -18.8869566102367,
      -11.1243527675751,
      -16.6380186284942,
      -17.1007287647773,
      -31.0274225930061,
      -37.5834332703786,
      -33.9902039974128,
      -24.9736424227538,
      -26.970743592273,
      9.5914699770022,
      5.48355137243396,
      -1.99026928783786,
      -23.5336689376412,
      -43.863400121518,
      -13.1210625832891,
      -26.4020551020155,
      -46.7097783426884,
      -22.1203029553104,
      -28.4074401106331,
      -10.5414777225962,
      -3.22626353566914,
      -8.80514408802156,
      2.89869177605327,
      -6.30478643731969,
      13.0239912512543,
      -11.8033441429145,
      -13.4664628755412,
      -21.4448011262722,
      -36.0083535002353,
      -48.2502839710328,
      -29.8240505576171,
      -22.4342403801592,
      -26.4013344833373,
      -36.2093208931284,
      -21.8716158591525,
      -18.8758882323455,
      -20.2632448739872,
      -27.3118460708453,
      -24.960199663604,
      -17.0679303300096,
      -15.0428912112468,
      -7.45000678101511,
      -17.0814020434478,
      -18.12742803469,
      -19.2580506462849,
      -21.5474631107915,
      -21.8080706022535,
      -24.0472151512312,
      -28.3038169247764,
      -24.4723577437514,
      -20.3922243047193,
      -18.5984891317192,
      -19.0427777485691,
      -15.8069023261842,
      -17.2163912003351,
      -20.4143575363945,
      -30.0568702245655,
      -16.6888101648658,
      -15.5242215086372,
      -8.26906297804956,
      -16.7167296361852,
      -24.1411185373764,
      -38.7460908833992,
      -34.8454567239297,
      -13.5618994093168,
      -37.5096427317698,
      -16.6957800464026,
      -27.7447131978967,
      -27.3946232583208,
      -13.5777001684588,
      -12.7708331390758,
      -15.8624147737036,
      -19.7461712094214,
      -33.902315493258,
      -37.5109747066982,
      -25.9602437178405,
      -34.8675070545387,
      -18.579656747949,
      -25.4681619270249,
      -27.3827558888163,
      -14.2401956599284,
      -14.0594257932727,
      -11.7785922317298,
      -16.5948227152519,
      -32.378290764267,
      -37.4899824277951,
      -34.9881965199357,
      -14.1059514168804,
      -35.6860987173697,
      -15.9776582162023,
      -27.5637769084251,
      -27.0095310807678,
      -11.9546252331529,
      -13.5735132634951,
      -25.8828985665099,
      -13.9546390593151,
      -36.7121695310971,
      -35.7184746481247,
      -25.0559747252525,
      -36.8281760107588,
      -12.0411518954214,
      -7.07088145801431,
      -5.33955237934046,
      -9.68592431977355,
      -12.3744999626509,
      -4.36032893998516,
      -10.4677899794158,
      -8.45940907261572,
      -9.10757355327182,
      -13.8714458265976,
      -6.75724946627822,
      -15.110361532023,
      -14.646451007858,
      -16.4273786526796,
      -15.9287095459552,
      -16.6561389089156,
      -14.9753227803817,
      -16.2546814429245,
      -8.94090412747402,
      -13.2918020971859,
      -16.5693238760996,
      -11.9103129015114,
      -9.90120344041112,
      -7.89436412395374,
      4.58500720607854,
      5.16993334690806,
      5.03102250448091,
      1.28231045832043,
      -4.05823156404692e-15,
      -4.05823156404692e-15
    ],
    "mfcc_delta_curves": [
      4.91363855499799e-15,
      22.9465177086775,
      1.95475933644964,
      -4.68379760137391,
      4.43573881219722,
      -3.01290834314498,
      1.85472727522652,
      -0.915054837284585,
      -2.915815721246,
      6.4070975166428,
      -5.50709168096671,
      3.49711608881634,
      -3.11556500655152,
      0.964110954572748,
      3.30845711607264,
      -7.31916244254794,
      6.09067745907607,
      3.11265944073975,
      -9.19630501013451,
      3.77941619193551,
      2.85052812280638,
      -1.12199126917102,
      23.177054981706,
      3.24973162976909,
      -4.524935545382,
      0.653609461399935,
      -1.30341388428838,
      1.40039554250026,
      -1.89356755747167,
      0.60721614497778,
      0.808972530119789,
      0.0435339390712969,
      2.16798012421591,
      -3.64874235545896,
      3.93840480048114,
      -14.0525919010858,
      13.5588782224557,
      -6.80965057360342,
      -8.77012270847402,
      19.7176448100593,
      -3.97963038174337,
      -11.9953724734125,
      17.8926199254673,
      -8.12116273764226,
      -8.34857893897554,
      7.31248441893088,
      4.20864997570145,
      -3.01122339209175,
      -2.02439953562024,
      2.23181236590545,
      1.19645760032494,
      -0.0931791147680137,
      -6.57369246149392,
      6.13299671421704,
      -1.63248105162995,
      0.766276275351784,
      -3.41613427595357,
      2.9999431018581,
      -10.7181726166303,
      17.5360287567169,
      -12.5108322034469,
      -10.1883112583478,
      24.8273771882046,
      -7.46908230649651,
      -4.53772774011083,
      7.06543225675174,
      -1.01821240967954,
      -11.1956528415595,
      6.26276986322783,
      8.26483490797439,
      -7.17001322870989,
      1.57391360074152,
      1.16381175942032,
      -1.56171616878819,
      0.624063972071312,
      -10.3313120797296,
      6.79088449384294,
      0.148651566420401,
      -4.91237225742005,
      13.9566765406573,
      2.90162794943698,
      -16.6364602947846,
      16.5293116551187,
      -15.4943548097495,
      -0.366310040846346,
      12.3322494935911,
      -4.75064653381884,
      4.1145701079651,
      1.81708586539084,
      -12.1909534675282,
      -3.19136988315969,
      -1.47403245359585,
      6.28069877538731,
      3.80880410616123,
      3.20683928303692,
      -3.55111526459473,
      6.06187004164205,
      -0.664816785429112,
      -8.44465149716419,
      4.14391126096329,
      -6.90638223373201,
      -9.6003758207713,
      26.5772206489663,
      -1.47210246834723,
      -14.1882988667998,
      11.4226793434643,
      -14.0279290440906,
      6.25941026627171,
      4.29279783675324,
      -5.47062557752947,
      2.77912868998054,
      0.661099016963192,
      -1.60800874090274,
      0.371757548841011,
      -4.81900013579465,
      -2.69459097261459,
      11.1442018768681,
      8.50311882851087,
      -10.1061724751763,
      2.30552311636402,
      -1.15329277807191,
      -17.618727183728,
      23.5654122972112,
      -5.27810469310984,
      -1.5778194084645,
      7.42613586518051,
      -1.98073259465643,
      -4.45601106179504,
      2.75929568317306,
      -2.25960780664187,
      1.67252047393124,
      -2.52847399330063,
      7.55836273614253,
      -17.6263895573548,
      15.5802958945009,
      -2.31799617479053,
      -1.6519580031286,
      0.0592513928358222,
      -9.2828515694701,
      7.27655655409349,
      9.05835246934062,
      -11.1932201512206,
      6.93331829061256,
      -5.10694191752631,
      -15.4709637205805,
      26.4070379325578,
      -5.78337454576299,
      -1.43196394193769,
      1.66635225177812,
      -2.88579272595041,
      -0.451754932021207,
      1.07863900926785,
      -0.587261973100046,
      0.193206295011757,
      -3.40840733244975,
      11.7346975194539,
      -16.5842214121219,
      14.2514737401543,
      -8.82434825488525,
      1.79453950822231,
      0.213971194034759,
      -10.3809882998123,
      17.8312387350032,
      -19.4249712504307,
      -8.34623712534502,
      25.067243294684,
      -1.39743205460901,
      2.01707977340968,
      -7.11070204539676,
      -14.0712317831097,
      0.66981299437641,
      4.98022782783899,
      -0.371265478930079,
      4.85769769286637,
      5.13829774502572,
      -0.517926528483154,
      -2.20959521014611,
      6.5274897741921,
      -15.079315562977,
      6.86371457961843,
      -0.905111104896576,
      -3.1279878850963,
      13.4538628424108,
      -2.83131826567608,
      -12.437310483671,
      16.8658247683282,
      -15.2356088688915,
      -5.55630075979217,
      17.5270163873759,
      3.58343722367978,
      -6.49003800029867,
      -4.41590064872307,
      -8.71016176784333,
      -1.99834274059072,
      1.70552908105067,
      2.50183117050502,
      6.04795418794748,
      4.65962544799811,
      -4.33272123442544,
      -0.879970307567578,
      13.306083047928,
      -19.4004468645223,
      10.6016366577753,
      -9.86847754123396,
      5.78015430991551,
      11.4268339246037,
      -4.02499058532877,
      -11.7569825834083,
      10.4472125825388,
      2.14652858264946,
      -8.84630963089144,
      1.73744759614833,
      2.0156441093845,
      -5.74062062786179,
      1.62052859142611,
      4.25639351482068,
      -7.04685761177454,
      9.92325120213792,
      -12.8940836474491,
      7.62356824554162,
      -0.612527362224319,
      -4.45025056976714,
      16.3502650621306,
      -4.44676955792744,
      -9.97852268382293,
      10.3518779494188,
      -11.151796986248,
      -11.722985645149,
      23.608767419096,
      -6.61076470029932,
      -4.08458796699168,
      3.97495969532944,
      6.02617862956793,
      -10.6194350266773,
      3.85326444795604,
      -0.863624165027701,
      -3.33400386658927,
      -0.248088076494996,
      6.18570779341617,
      -3.12330784304146,
      10.7288500676523,
      -18.1673283762216,
      8.29503454897738,
      -4.9558143801636,
      -1.58887310423439,
      19.2829058097469,
      -7.33343745016692,
      -5.72183675179163,
      7.56114588296048,
      -4.19216001976473,
      -6.10767025347536,
      6.52287503672996,
      -6.85141570037288,
      5.52450123597428,
      2.87625679787667,
      -0.448898808506566,
      0.540673020600147,
      -4.23919686907382,
      10.2094869785632,
      -12.4838173418368,
      10.4746342961763,
      -7.44532657354467,
      1.45515237613439,
      2.2015962067995,
      -6.93734110563577,
      8.2399711738141,
      2.37894794404345,
      -8.41445547497256,
      8.77837312557635,
      -2.29973593578964,
      -12.15515790832,
      13.4890039409158,
      2.10847122235304,
      -7.08258520508707,
      2.52709057711212,
      -6.81601673719866,
      3.10986413759317,
      3.33521086425624,
      -0.0761775780962523,
      -0.279806452892813,
      -1.98936342928326,
      3.19957664608055,
      -9.02565853245237,
      9.18944600900315,
      -8.41509872216497,
      7.82223789833941,
      -1.84113674120999,
      -4.54681679789374,
      11.3309909526787,
      -4.44973499347928,
      -3.87155906126365,
      5.38485867953248,
      0.105288047648869,
      -20.2718539403564,
      17.3647316718993,
      7.70920587265331,
      -12.2904425647696,
      3.19465002523082,
      -13.4966409967898,
      -14.0391001488195,
      0.62818344368701,
      6.71530361526459,
      6.47138826008127,
      2.07422946575047,
      -1.72548549692909,
      17.1172946972489,
      -12.2510376223973,
      0.352651907611159,
      -7.54736218644337,
      -5.74606764830373,
      15.1423506250964,
      -11.8235455564629,
      4.62127952138213,
      5.32185012913079,
      -4.22481542939925,
      -4.26324574887192,
      13.996609376174,
      -11.6159781756862,
      -2.25704322650332,
      22.0747223719554,
      -13.2934528993566,
      1.71921780016692,
      1.63586730973426,
      6.18990429563446,
      -11.3904889134607,
      6.44450495563621,
      0.576642816969554,
      -4.58505144159626,
      12.8971730594864,
      -14.1573264453938,
      -6.88619115071211,
      17.3632223617212,
      -1.66213306405913,
      0.183413189336923,
      -1.44008908762505,
      -10.8493044755464,
      7.58086084909424,
      -1.15700767254766,
      6.27679431151521,
      -7.09056841392227,
      2.92014714293599,
      1.90660470823345,
      -3.7916122060118,
      -5.45063405104115,
      1.08213999647357,
      7.65372546738672,
      9.24618016725636,
      -10.4969288948488,
      6.40909142430843,
      -5.19541296893693,
      -16.1008834944053,
      27.3253049631847,
      -6.17238813597279,
      -1.47419284348044,
      1.79373820433587,
      -2.90671261566945,
      -1.09656065830886,
      2.47305706555956,
      -1.49340631914121,
      0.0898515681860759,
      -2.68410195991413,
      9.57796720761547,
      -12.7422894287332,
      10.543566679011,
      -7.33076626568444,
      2.14973564754154,
      -0.46420270281173,
      -5.74808467985723,
      7.96051620919515,
      3.01766719472462,
      -10.2021896101648,
      10.7935420899817,
      -4.55572339772299,
      -10.8762720800351,
      14.6285180161934,
      2.34316182973639,
      -7.79928379446076,
      2.46537488978043,
      -6.33053575300093,
      4.16763734013354,
      1.89898770178558,
      -0.222188561220549,
      -0.219050633377591,
      -1.16352537469119,
      5.23431341524317,
      -12.893705369068,
      13.7711976300604,
      -7.69175897431857,
      3.86298201666283,
      -3.53236952996406,
      -16.996320806466,
      16.604961454765,
      -22.3794130547004,
      0.751651796771756,
      14.6004952343454,
      -11.8391314768176,
      1.76456512304799,
      0.517718837538832,
      -1.48532781524139,
      2.14207430901753,
      -4.06988391054923,
      1.62686832879776,
      -1.37595659466381,
      2.74277228085694,
      0.288603912762402,
      -5.00486030296304,
      3.88699702527672,
      -0.422039927604022,
      3.70731916436068,
      -6.79615304656486,
      3.86101579221763,
      16.486741457881,
      -22.5424809567736,
      -17.8267327587296,
      -4.6645016545257,
      -0.956691279773623,
      -0.0523686592755323,
      -0.158158785082202,
      8.63581332793217e-15,
      -2.67248470149426e-14,
      0,
      17.2890555842549,
      -0.471286273845019,
      0.0703623086335034,
      1.05247478112287,
      -0.666164725055983,
      0.115654494035649,
      -1.06519288778793,
      0.36036301565582,
      1.46364245448705,
      -0.282519446654479,
      0.223474188068034,
      -1.61601952344998,
      0.934084141906394,
      -0.136234669813195,
      -1.49525515200425,
      2.65122925244586,
      -1.18589062307087,
      -0.860149681190739,
      1.24314394554551,
      -0.375918293308797,
      -0.583891611710002,
      -6.73400023087875,
      0.121791161164028,
      0.521593040034989,
      0.581405010502142,
      1.66779235927381,
      -0.275831590957962,
      -5.92107538961616,
      4.89977406881379,
      -1.95930490000958,
      1.83876017677454,
      -0.72902029499502,
      0.698034572655884,
      -2.31353593323504,
      9.0638691661179,
      -5.5464905012352,
      0.948450988455842,
      2.34382270039214,
      -3.38167937758019,
      1.04081308978017,
      3.51361427172597,
      -6.24080020621144,
      -4.88122487162104,
      8.13118337985918,
      -2.68296650782421,
      -2.94652703526035,
      3.19332553846645,
      -0.69939207913179,
      1.37415391638853,
      -0.454569439839674,
      -6.92047948524064,
      8.20710199042908,
      -3.1965803525538,
      0.825907952609574,
      -0.493950970362598,
      2.92949599131216,
      -2.46412431781373,
      7.03469347870209,
      -5.02331218452937,
      1.30774014828869,
      2.45854548067175,
      -5.33279292877722,
      1.45030500470494,
      0.83998102480041,
      -3.31716263345017,
      -7.69839185834117,
      10.0259062515972,
      -0.441039087513032,
      -8.42372392431126,
      7.45778140738866,
      -1.76843618614647,
      -0.244400738614595,
      -0.690533431815904,
      0.049156978874713,
      5.91355363094644,
      -3.87785360586131,
      -0.572430463450276,
      2.75360526418355,
      -2.54699777195139,
      0.407321538174651,
      4.43270399449012,
      -3.98177207707301,
      3.33726837607043,
      -0.817916013901656,
      -2.13496019252101,
      1.25665978286805,
      -2.46653572146873,
      -5.66239909832335,
      8.77614689022766,
      0.707978920220731,
      -0.983475437073142,
      -3.52770912573479,
      0.106842742346593,
      -1.07242250883689,
      2.50471330415819,
      -5.01839973315036,
      -1.27581571314728,
      5.85828113982206,
      0.874752555755577,
      1.47303407804972,
      1.8876667106518,
      -4.75273733476809,
      0.200958198733159,
      4.00860640220649,
      -3.29053205942512,
      2.41008570703488,
      -1.45948911645658,
      -0.866347419570308,
      2.85544951742549,
      -0.0574832914618193,
      -4.70141332020683,
      3.45691231423272,
      -1.61283463252052,
      1.81126720497241,
      3.72403703837932,
      -4.48940576441182,
      -2.57436312014602,
      4.41316609529019,
      -0.545457179672287,
      -0.425914430257534,
      2.76079034732539,
      -2.04142448611273,
      -0.476903682904475,
      -3.21450157926675,
      2.15977767578215,
      -2.82515820937979,
      4.83259989381794,
      -2.65452685748278,
      2.26155180936273,
      -1.52646540039552,
      -0.289483713325898,
      -4.51977538639401,
      3.34355392582808,
      2.41113878838549,
      0.00246320666867409,
      -1.27789651107521,
      -1.22645948180641,
      5.89727744125165,
      -3.87014856532755,
      -0.920268163978747,
      2.63075914937498,
      -1.61996125675353,
      0.182208848841527,
      2.44717696280915,
      -2.75439540867862,
      -2.86445332321998,
      0.288512259413634,
      2.08243547541519,
      -1.08278692003123,
      3.6130710397434,
      -3.39971974617156,
      2.24995438287603,
      -2.19356452166657,
      1.70257523676995,
      -7.11007320584751,
      2.89063656293553,
      4.74095797646502,
      0.870974478511865,
      -1.04058575293457,
      -2.96139876637094,
      5.15242049080447,
      -11.0589654341668,
      6.72693281738781,
      3.98376824925504,
      -5.89063130907781,
      -5.55021829736514,
      -2.2936823134455,
      8.54615683419273,
      1.99888116345217,
      1.77367677472354,
      -1.73216873337737,
      3.71325957943048,
      -3.96804820861148,
      -0.567219845475864,
      -0.214770252208224,
      -2.19379255829802,
      2.27766205645184,
      -0.509953251823024,
      -2.44316748851417,
      -0.424948153936748,
      2.91323751978749,
      -4.82217076218562,
      3.2237689424946,
      4.96209578198909,
      -5.31528896540371,
      1.82625594240977,
      1.50672943861471,
      -3.9013748569338,
      -8.08931245284178,
      6.14677476304691,
      3.3390685135969,
      2.75868679558161,
      0.294057027868234,
      0.230875452943071,
      1.51591334415432,
      -4.60920241850579,
      2.21346620224134,
      -0.18923600270478,
      -1.42383453571808,
      -0.978833451623523,
      2.15183954607408,
      -1.35762123709209,
      0.596354511254982,
      -6.06239153087256,
      4.21459820486716,
      -0.0475064686900057,
      4.35966271503928,
      -1.97492650669486,
      -8.05274039037919,
      7.4837082739422,
      0.327025533972197,
      -0.0471676822079598,
      1.82991328153427,
      -0.717678869092342,
      -0.868888649401614,
      1.11569337753531,
      -10.2058177328153,
      13.0787350394144,
      -6.90988121719313,
      3.69258974733266,
      1.86260244874878,
      -9.85242441354933,
      5.93548006932245,
      1.5991710441195,
      -0.0788157399233085,
      -0.747815611382866,
      5.56889991885347,
      -3.81520993251951,
      -2.02635211615148,
      1.11782995959076,
      -0.581089196785532,
      -7.51914363676922,
      9.65008476883444,
      -4.31809406263134,
      4.24178526619368,
      -1.16649317788598,
      1.22170858427807,
      0.435550587514295,
      -2.91011175430003,
      -9.34345998271382,
      15.0841566799499,
      -6.84539034857882,
      3.74064410206116,
      -0.925783341494704,
      -4.05013362736786,
      2.52245342617799,
      0.444742078272339,
      0.376931171527565,
      -3.59651549940932,
      5.25253382536675,
      -1.07279964978532,
      -4.12742777229888,
      5.85851508312678,
      -2.70564639292535,
      1.76945732103531,
      -1.22399175415951,
      1.06983549197088,
      -5.69874315539685,
      2.21739505247067,
      4.95238910080115,
      0.596913642158556,
      -1.75616403901098,
      -2.36526751508234,
      5.84123629236377,
      -4.00271371644217,
      -0.673034450681211,
      2.58468205371526,
      -2.36341175288565,
      -0.582491795461919,
      1.37626012628548,
      -1.5661487100642,
      -5.33047811160482,
      6.76390560612336,
      -0.874624293691376,
      1.33705794462716,
      0.925710702751526,
      -4.2450265523312,
      2.14850507929901,
      -0.941500092319989,
      1.31891193614516,
      -4.30999187574734,
      2.73088441487985,
      3.46801976351016,
      0.709156500334863,
      -1.92448621039958,
      -1.9844186524001,
      4.62707451365104,
      -4.49074505560157,
      0.961271355258502,
      1.82932365768495,
      -1.94377258665039,
      -2.1767786009117,
      5.41138996510607,
      -5.41443746774952,
      -4.62989056223749,
      8.68818397359825,
      -1.29670904499747,
      5.00473513547778,
      -0.2520011797623,
      -0.0786299555602023,
      -0.239657978081727,
      -6.54729333677964,
      2.89703973312362,
      -3.37524312127513,
      -8.65362103316464,
      7.88789509260458,
      4.24336828105528,
      3.80907487449327,
      -0.848289048278733,
      -13.0791621309926,
      8.79475008924309,
      -0.615594419381319,
      0.961235395670921,
      -6.99927812524144,
      11.7902263571161,
      -10.7361065686632,
      6.39975993578023,
      -0.157445249801518,
      -14.0943053988518,
      13.0921249480112,
      -2.00011646401802,
      -0.00778497389965589,
      -4.73907580902129,
      7.75652995067948,
      -1.25216556849537,
      -3.12090060947602,
      1.81816335118145,
      -2.84092699837552,
      5.0692507364058,
      3.0611783198915,
      -4.44862149924055,
      -3.36063244615474,
      -2.6676409252329,
      3.28391409299556,
      2.70051454829917,
      0.993223421336209,
      -1.04901484869947,
      -8.16117982165957,
      6.13454491156236,
      2.25324600396851,
      -1.91204969876531,
      -0.172827744151523,
      -0.025013629755881,
      7.38081227923336,
      -4.05708583532782,
      -0.723568950826906,
      2.45027150508395,
      -1.38795422316602,
      0.0954691628932275,
      2.7459870955906,
      -3.03024713609079,
      -2.89771817737545,
      -0.110411874640683,
      2.62523187308824,
      -1.60800363028006,
      4.04082898981468,
      -3.67007212049615,
      2.36749684873281,
      -1.8129570615229,
      1.07209979467169,
      -6.3173127022897,
      2.36139740554218,
      5.34537963633923,
      0.683462449574645,
      -2.15595240370125,
      -2.18634157218204,
      5.6611172968446,
      -4.04613083327518,
      -0.078116513758974,
      2.8682390629461,
      -2.74497904539281,
      -1.20745523552443,
      1.73054914610336,
      -0.765735219045718,
      -6.20422481516379,
      6.75863675777285,
      -0.218773692197758,
      1.57711167611313,
      0.748792350027479,
      -4.55342757068445,
      2.2981476420655,
      -1.16178997667589,
      1.46102602771731,
      -4.56415514014996,
      2.38217757200189,
      3.92970311884059,
      0.0510346987349165,
      -0.878504248511359,
      -2.8104858948134,
      6.15294186513553,
      -4.77748642653516,
      3.73813672094998,
      0.374619978899338,
      -4.10517585867137,
      4.67440186533953,
      -0.114384430480734,
      -2.05298878211698,
      0.207594119015003,
      1.2997874675503,
      1.04924418104258,
      0.265363039417879,
      -0.73903170535243,
      0.851970468932339,
      0.511227734602391,
      -1.47560334734838,
      0.697901720419276,
      -1.03093555538411,
      -1.34825478143378,
      1.83432478427795,
      0.601788667006571,
      -4.49569635168989,
      3.64577715966159,
      -10.4789645863207,
      -4.51211656091079,
      -1.09630091204687,
      -0.0732187947599222,
      -0.223601159587128,
      0,
      0,
      -1.62475021456851e-31,
      3.93017786133328,
      0.1007725702689,
      0.661173634730228,
      -0.136065065624343,
      0.539703714753362,
      -1.04223041355154,
      0.371963342739683,
      0.731585712463636,
      -1.22450653827043,
      2.85356592132882,
      -1.18637837151601,
      -0.653612957564564,
      0.680853332235368,
      -1.57819221674988,
      1.37930743342077,
      0.217556733538427,
      -1.65882280581934,
      1.63488614410461,
      0.453620337937313,
      -2.02541311360475,
      0.840524035287529,
      -5.99189589144506,
      2.95964293511829,
      -0.91074594559373,
      -0.473121082294273,
      0.488544302501769,
      -0.652304033190999,
      2.70206262272622,
      -1.12874607740726,
      -0.548766330901836,
      -0.747589411468117,
      0.425802614195672,
      0.809528146186462,
      -1.02147700193808,
      2.51344292534946,
      -3.0364208302771,
      1.95599711029824,
      2.48372122641503,
      -4.94561051596276,
      1.56699772046239,
      1.09368340893097,
      -4.71509874228923,
      5.20367731435108,
      0.165537462806838,
      -1.94992630325532,
      2.08427939837955,
      -2.98077820846015,
      2.05158968239514,
      -1.40783663137149,
      -0.533012717357081,
      2.65559470916141,
      -1.19204763946906,
      -0.653395553766264,
      -0.592626225725144,
      2.46529039569621,
      -0.402466888041167,
      -0.68813727512508,
      1.51001565782124,
      -4.78347081651547,
      3.71599198377261,
      1.20164800033348,
      -5.87281389067365,
      4.29708303193873,
      -0.464491785178877,
      -2.95696702419129,
      4.28053015076733,
      1.03398299548843,
      -2.19416288099693,
      -0.388266637318428,
      0.354086490270093,
      0.468522222897504,
      -2.01447283337994,
      0.321332146357748,
      -0.171430976056994,
      2.35278742065798,
      -0.744833427032644,
      -0.324340107538536,
      2.81090436388887,
      -4.24227333307743,
      -1.80645217153824,
      6.04461436708068,
      -6.26806558913553,
      5.90853696139744,
      -2.61306456289839,
      -2.59977907022681,
      2.76414005910019,
      0.604555897726536,
      -1.76614213840848,
      1.7518542096217,
      0.146852458006665,
      1.36591894328873,
      0.0190954415139583,
      -2.20317948589718,
      0.639451140758271,
      -2.09218314648244,
      -1.94343894640328,
      2.39221714027293,
      1.40916057811297,
      -0.895561533653426,
      1.62104554281995,
      2.0438913230064,
      -6.32123219812943,
      -0.17144185387038,
      4.08230787201565,
      -3.74902718189965,
      5.7269825742568,
      -3.70036944048969,
      -0.120294615048756,
      2.45319327489492,
      -0.34605525138163,
      -1.0273731667027,
      0.360971733749164,
      -0.313306475335892,
      1.11910517623035,
      -0.539911303852151,
      -2.6799278935998,
      -0.132758939305401,
      0.354360828058481,
      -0.415397891951373,
      0.170786845323219,
      2.56069318409784,
      -4.52954366425435,
      1.71137685017894,
      -0.497494171849286,
      -1.65018503227378,
      2.50709338099802,
      0.57149898210116,
      -1.76108870567329,
      0.981357072881608,
      0.271827860979581,
      0.477545477640103,
      -3.89380490628182,
      5.66258616746128,
      -5.51630749231,
      2.5211127135594,
      1.38948572223083,
      -1.2825989071353,
      2.53732518768495,
      -1.67416269290816,
      -0.935993500182781,
      0.692262909497011,
      -0.648465580264364,
      0.926785774192839,
      2.05126568036899,
      -5.67912382857851,
      2.5497535468713,
      -0.750059581149361,
      -0.178525493589987,
      3.08309926417701,
      -1.16371637142791,
      -0.514434547319094,
      0.316625525669957,
      0.254345555188038,
      -0.0876789158269291,
      -3.59310514446041,
      5.70739336138169,
      -5.06142921239884,
      2.98217220368126,
      0.3940291381996,
      -1.19948146740974,
      4.15153341326266,
      -4.37433840855691,
      3.54088142925518,
      1.26712700689323,
      -5.60765676127503,
      1.65234243783399,
      0.994817828431153,
      -1.16152139253065,
      3.86427005620885,
      0.00423485822948633,
      -0.0984840523609407,
      1.13118949658513,
      -1.56851623051763,
      -2.83578908722342,
      1.62975855760343,
      0.332483833431714,
      -2.19652923913204,
      3.27603146543438,
      -0.35851316227048,
      1.36456281886031,
      1.06286176740849,
      -3.20183394190675,
      -1.15571517973863,
      2.82552073234091,
      -5.63122221064312,
      3.71114349729438,
      0.18148425061005,
      -2.80286442314691,
      0.921890089554145,
      2.34072176583858,
      -1.47494210943651,
      2.29087045086752,
      0.011333554112035,
      0.217535529477282,
      0.638924557451458,
      -1.64472548934225,
      -2.36847014418811,
      3.68251822036667,
      -1.16764866842502,
      -3.7443271969416,
      4.37268955131222,
      -1.07109751036427,
      2.26405284126601,
      0.220676648969355,
      -5.01734618249871,
      0.676482014071418,
      1.97262063762937,
      -3.11931662574536,
      2.65435375256052,
      0.357508789449513,
      -0.61755376859532,
      -0.536763357458397,
      0.928345767392021,
      0.540420256101584,
      -0.915352997284233,
      0.865357007116267,
      -0.420232599300725,
      3.03533367916957,
      -1.73507995010302,
      -0.252673954062659,
      1.1775609801326,
      -4.37773745935773,
      1.32672769075633,
      2.73566811032944,
      -4.64825603160409,
      3.25913597533722,
      2.31298948858622,
      -6.01374102695677,
      2.13412813297618,
      0.423600898283577,
      -0.658433706439256,
      1.01451150013267,
      0.611747848594935,
      0.559393946139132,
      -1.79006950689697,
      0.978931542665059,
      0.733785088052028,
      -1.182118313239,
      0.629420881681826,
      -0.974863617019949,
      4.12062844528937,
      -2.14951828525678,
      -0.296914486204011,
      1.76397325542292,
      -6.62906294247692,
      3.73199491923883,
      0.70109495862409,
      -3.99407874515804,
      3.17140244806718,
      0.611913965497011,
      -1.3873427857105,
      3.43912973482761,
      -4.03199820695294,
      -0.748049948657603,
      0.26391754700541,
      0.151449958953525,
      -0.188544602053752,
      -3.38558370748438,
      5.14300381235676,
      -4.4952794921222,
      3.34167045003883,
      -0.361077268632054,
      -0.376454406352092,
      1.41601720520022,
      -1.95640868980279,
      0.0777821735876768,
      0.106163050064726,
      -0.634496603618085,
      0.414561876687983,
      2.15259209399889,
      -4.12957274379914,
      2.50893911782857,
      -0.21124027461242,
      -0.526703855170147,
      3.9479283129935,
      -2.79195189490376,
      0.201488070914304,
      -0.0191010988900881,
      -0.212081620497043,
      -0.267398930039441,
      -2.16651680980457,
      3.61467674549185,
      -2.23015000635287,
      1.74683832991526,
      -1.28170464681262,
      0.910601999969216,
      0.258465049081714,
      -3.54327375628321,
      2.2483852922094,
      0.476406818619466,
      -1.23034518722616,
      -0.490110835293974,
      5.21299573702104,
      -4.96949537094244,
      0.740260503022418,
      2.26046058900977,
      -1.62400359570473,
      3.13897014639233,
      1.93876823930421,
      0.0820988375602124,
      1.44273177661495,
      0.23832645124515,
      -1.38370838099578,
      1.00648924514402,
      -5.65449319256528,
      2.26054274571675,
      -0.180245679676068,
      2.19285382626955,
      1.48484995007695,
      -1.72280886432686,
      0.385823427209903,
      0.832975577081812,
      -2.85993807979595,
      0.882633826505182,
      2.33530820929378,
      -1.32879690168644,
      0.504145064514622,
      -0.0356816423967868,
      -3.73220073339473,
      0.825884836063434,
      4.65174991744078,
      -3.5322324068267,
      1.38809704790709,
      0.369563599931791,
      -2.34996716881192,
      -1.15116343224047,
      2.70878516684375,
      -4.1313465989353,
      3.54843372069619,
      0.910744239683209,
      -5.54008271355601,
      1.49508500764914,
      3.19425942483092,
      -2.23471049470918,
      3.19321094648504,
      -1.79990487184768,
      0.0996993413341197,
      0.148790727878583,
      -0.188319095171518,
      0.310776865756605,
      -1.15292451057379,
      1.22974216921716,
      -0.684400653690507,
      -0.912609423531317,
      -1.8059497589942,
      -1.04065699942883,
      0.593427135128988,
      -0.398248299014833,
      0.655420191882944,
      2.5421859152827,
      -6.10139985780923,
      3.16048000694242,
      -1.46695421459775,
      0.356139209635728,
      2.91124674980516,
      -1.59227611830605,
      -0.57384602970287,
      0.819623352887397,
      0.222086490175991,
      -0.087093707336734,
      -3.09740996726476,
      4.79746231953639,
      -4.7836663540915,
      3.15986331344858,
      0.0456557204793091,
      -1.08997362750715,
      1.82744540304498,
      -1.55624076766769,
      -0.0627406635493684,
      0.82859012432037,
      -1.26226156083457,
      0.719205702231445,
      1.77235525467982,
      -4.01542203989386,
      1.63637375831493,
      0.847393060184954,
      -0.34208980701026,
      3.19413539781491,
      -2.67597014440947,
      -0.0365138385836089,
      0.352988199410275,
      -0.550788635601634,
      -0.185117120977334,
      -2.57710837354977,
      4.80496580921515,
      -4.30235179400803,
      2.25106177304682,
      -0.338971526638892,
      0.614621630747213,
      0.618518834395016,
      -3.44732688532732,
      5.23311514756252,
      0.0349079294232289,
      -4.11576815766852,
      3.93487648652461,
      -0.724912286925008,
      -1.64426552207753,
      0.579301696168399,
      0.724287052724369,
      1.36644815609587,
      -0.674440720984928,
      -0.236490996207369,
      -0.0200880724914855,
      0.296908854720426,
      0.588201456331046,
      -0.793886223838607,
      -0.750317580633109,
      -0.386116786307231,
      2.30701686254683,
      -0.965148535113411,
      -4.16246264990786,
      5.43770514644561,
      -1.78270890867511,
      -0.519418781256241,
      -0.500865416184183,
      -0.0709196502299163,
      -0.223393824161925,
      4.54739175743e-32,
      -1.93004100322163e-30,
      1.07828262395583e-31,
      -0.0851048695547938,
      0.824480009145881,
      -0.364129451449622,
      0.0787706551562147,
      0.517384954974859,
      -1.11560356648812,
      1.02739159347715,
      0.069990972576133,
      -0.660016635697839,
      1.62112307341338,
      -0.984497262177382,
      0.0671313683939692,
      0.0904594297873482,
      -0.804838819025984,
      0.690322021536384,
      0.448173637209456,
      -1.00712114729928,
      0.357145126533887,
      1.48335526910148,
      -1.86106291403489,
      0.336068657270689,
      2.20510433059844,
      -0.925047835098931,
      0.557259236251319,
      0.207220206821338,
      -0.604138536541957,
      0.519529464778062,
      1.86983459693085,
      -1.97793574677732,
      0.6608204483053,
      -0.0827499308831713,
      -1.50562766616821,
      0.77884370437923,
      -0.698912121359603,
      -1.47968080826327,
      2.4100717731166,
      0.451720998113047,
      -1.2646281839758,
      0.728311369556182,
      -0.709437706105045,
      -0.821318111949999,
      1.91399266654295,
      0.678712851662763,
      -1.65937366750522,
      2.16649610465488,
      -0.432783231099557,
      -1.21804294548758,
      0.244845472399291,
      -0.0701154863883238,
      0.180850262601943,
      1.54997934582683,
      -1.91179771530554,
      0.135403858621338,
      0.556835469761726,
      -1.19961448677961,
      0.560406468724065,
      -0.0802194801694221,
      -2.38582395853804,
      2.71568099404308,
      -0.219365680655888,
      -1.41897170085621,
      1.55828084208549,
      -0.298343410614244,
      -0.376991083356449,
      1.05994667912214,
      0.797611203005685,
      -1.87105015363765,
      0.729479379392155,
      2.37041964073145,
      -1.71845093702526,
      -0.343082669928413,
      0.160393798529235,
      0.280028275052767,
      -0.828834073064931,
      -0.367567743339583,
      -0.0761677300610505,
      2.13466100061622,
      -1.73372414300882,
      -0.00934848610484174,
      -2.47638291606655,
      1.40914764947777,
      1.17039438420008,
      1.03385172985629,
      -2.30413293966124,
      0.74416958808625,
      -0.880370791292527,
      1.63444267053428,
      1.97082418466147,
      -2.3318937764025,
      0.171816871490821,
      0.142344885567256,
      1.77495530768475,
      -1.62591695647641,
      -0.0404978000914511,
      -0.315662570016683,
      1.17160851911239,
      -0.0164646445651782,
      -1.08550597571723,
      -0.783738962301147,
      1.58159632571291,
      -1.08816086880171,
      0.254431218586887,
      -2.56788751845128,
      1.73032342883162,
      1.02453302944738,
      0.53830220315787,
      -1.22393493014762,
      0.0960794644538229,
      -0.0251155806571492,
      0.338842934551518,
      1.15939802738934,
      -1.30155003231375,
      1.3842898461704,
      -1.50238165736444,
      -1.02315956957386,
      -0.963489831471963,
      2.7314597519975,
      0.00373935832295163,
      -0.880038636843908,
      -1.93034502094603,
      0.6452563878957,
      1.33585050737297,
      -1.20807041556427,
      -0.765694934565701,
      1.13739382751624,
      -1.37134454048899,
      1.02745275196775,
      -0.663014469827042,
      2.18332010635465,
      1.37690863121321,
      -0.825199092050882,
      0.399053052110301,
      -1.14469122197364,
      -0.114823372258078,
      -2.25845974089056,
      1.27644533918423,
      -0.566956320527895,
      -0.0220528211619084,
      -0.470126590779765,
      3.56064430292847,
      -1.16104910024735,
      0.317467222417456,
      -2.51722442846632,
      -0.0481293043987108,
      2.20585141709804,
      -0.859588663075855,
      -1.49439285411483,
      0.250835283575603,
      0.205681921952105,
      -0.0885972772195014,
      0.238593164054164,
      2.51991569118938,
      0.306130563443832,
      -1.04525969090208,
      0.726004820384233,
      -0.118876364384668,
      -0.87707544731461,
      -2.46138776138418,
      1.23152798651509,
      -0.238857151966619,
      -0.551642867492902,
      3.2528635264863,
      -0.497938007339061,
      -1.93694030475549,
      1.80861850327555,
      0.97371279990907,
      0.448246996647709,
      -1.1993861985718,
      -0.182395369104137,
      -0.974156051083049,
      1.8646542843845,
      -0.0683168363403905,
      -1.17475710873065,
      -1.92145421583036,
      0.951501819994546,
      1.55096099989118,
      -2.60256642740891,
      0.936001502892719,
      2.8277586683008,
      0.049839717597592,
      0.200879102439155,
      -0.770856634947557,
      -2.1128069854262,
      -1.23342465225413,
      2.74848934430178,
      -0.389218987238022,
      -0.880057252236986,
      1.66746591495261,
      1.10321260860285,
      -1.03739819289961,
      -0.35153991481071,
      -0.738789244554006,
      -0.622930076944768,
      1.12458142195545,
      -0.0854870031402672,
      0.881457134149476,
      -2.40104223739713,
      -0.621792934059155,
      2.17928181579225,
      -2.55428015993493,
      1.22739734526663,
      1.91163245891047,
      -0.296360929364963,
      1.71358216149351,
      -1.89273324334542,
      -1.78880168670751,
      0.31503788451912,
      1.56596549222474,
      0.847451954588582,
      -1.12773893384295,
      0.528131389191226,
      -1.9358311973301,
      0.874081987468154,
      0.341391945580114,
      0.168493239122532,
      -1.02837500288589,
      3.26497145824084,
      -1.61675584727192,
      0.682997805922715,
      -0.662772906151645,
      -1.19397355547912,
      0.136370056416695,
      0.143815785826337,
      -0.730046470982232,
      1.06836798230211,
      -0.37237340284955,
      -0.501862093097516,
      0.398189512507717,
      0.510932133488207,
      0.254390120412383,
      0.150393098163686,
      1.27863354325427,
      -1.65402656179297,
      1.36708062941089,
      -2.29836899518712,
      0.478014983793527,
      0.0760252016826148,
      0.0298327065697058,
      -0.0966813780908822,
      1.94566440620267,
      -1.55371554830506,
      0.159296866564378,
      0.413945343773727,
      -0.980432311699253,
      -1.10797524682278,
      1.048332765643,
      -1.00191048813342,
      1.33335021087744,
      0.613820758255745,
      -0.752834618991512,
      0.143334578424976,
      1.46929918739328,
      -3.20004177024365,
      -0.579250965669195,
      2.84829891165325,
      0.318326131747571,
      -1.70656726422662,
      2.01398764366463,
      -1.38426741052164,
      -0.284052214539343,
      -1.72497466008608,
      -0.114275916023041,
      0.588577348432303,
      -0.377951912835864,
      -0.0191098074213551,
      2.66507803185171,
      -1.50791152295991,
      1.51068228693757,
      -1.9603269842772,
      0.0589657326394104,
      1.17722639130021,
      0.425213087599365,
      -3.05324558470882,
      1.21540778763945,
      0.406858836106257,
      -0.947353379460905,
      0.77728982830864,
      2.63864619383113,
      -0.928673933824856,
      -1.77047427508235,
      1.61820565847872,
      -0.874192727191848,
      0.288125033447628,
      -1.98619391616135,
      -0.0419271527135285,
      0.392468774006775,
      0.337729762353201,
      0.311365113288739,
      1.68989517910683,
      -0.564448070470958,
      0.615854781500448,
      -0.422649931086307,
      -0.790287696276208,
      1.2276331235955,
      -0.465366988025509,
      -2.43240739603742,
      0.428700452431358,
      -0.374995015093139,
      -0.145452803088031,
      0.166607599823425,
      2.5755284461542,
      -0.0184869355019522,
      -1.59809969812552,
      3.40886390645656,
      1.15099283933029,
      -3.59633831735889,
      -0.931439246657043,
      1.07223437634818,
      -0.577953490107254,
      3.31755787352473,
      -2.15800124320088,
      -1.31941036112203,
      -0.858424419879333,
      3.63576996461316,
      -2.23583422226475,
      1.50531975739544,
      -0.15657132588349,
      0.324315258239482,
      2.99938631620254,
      -4.93289065158327,
      2.28238840633667,
      -0.34177414326195,
      1.0773718547319,
      -1.78999784580996,
      -0.104385321108696,
      -0.294257821546792,
      1.02072315565656,
      -1.82721485015458,
      0.399638843452743,
      -2.02516641257202,
      2.4708672903923,
      -0.0107572641822347,
      -0.196272290910677,
      1.18084901830996,
      -0.774102265689363,
      0.0236639833306147,
      0.75886141834481,
      1.73348457122304,
      -2.24140520247353,
      0.528404025880284,
      -1.16033865937208,
      1.72531554438907,
      -0.542502934911719,
      -3.28357104887738,
      -0.285861695319586,
      3.06812448209605,
      -1.17985838687765,
      0.783710152074034,
      -2.32048431477398,
      -0.642894425139285,
      2.50462997673756,
      -0.7752999299768,
      -1.65865325129843,
      0.455929642812715,
      0.00303699109744042,
      0.590244984221111,
      -0.373910508872751,
      2.49005990804313,
      0.34196529953366,
      -1.35403770964638,
      1.84777353533716,
      -0.495123085719604,
      -1.17405950255306,
      -2.0484705370966,
      0.652779878482206,
      -0.417358780136969,
      0.320797488077121,
      -0.145055018165575,
      2.59894535222866,
      -1.7822658731363,
      1.89680385062289,
      -1.97594602735763,
      -0.505237969548119,
      1.55159011187807,
      -0.164819065985957,
      -2.55299742765779,
      0.935820123978749,
      0.720833855243393,
      -1.0139253911223,
      0.791535769877463,
      2.49590151131229,
      -0.953580740459767,
      -0.794338441724521,
      0.643072689829814,
      0.124875860876668,
      -0.950206860555776,
      -1.93899817590369,
      1.3098561720819,
      -0.759237229803927,
      -2.63084571096805,
      2.45943219416997,
      -2.04442429143073,
      -0.0728415218165596,
      1.79973119103258,
      -1.19198465833036,
      -0.634333575835026,
      0.485901387322425,
      -0.958628923213555,
      0.199246957456334,
      0.923761862746284,
      -0.312385749109067,
      -0.264782969775203,
      0.351459647023409,
      0.23573614775116,
      -0.319615534243811,
      0.126686994808283,
      -0.0829714708490324,
      0.320197589952682,
      0.426523943098228,
      -0.521842628524703,
      1.90399430692281,
      -1.7326034060275,
      -1.15087277787738,
      2.30406276383935,
      0.0520292691302682,
      -0.0677370575943258,
      -0.223048539742257,
      1.38388582057043e-31,
      -1.5193445472683e-31,
      0,
      -0.63647436040131,
      0.314654026795183,
      0.166023166733747,
      -0.275943642016826,
      0.567193399215495,
      -0.946871716967472,
      0.650440535241181,
      0.435973510217688,
      -1.01384215015395,
      1.09930971052869,
      -0.439486187981846,
      0.240945315111859,
      -0.0306682326937853,
      -0.777668469865429,
      0.783635051462728,
      0.122301122622694,
      -0.897588477564823,
      0.902815757947658,
      0.234030646336224,
      -0.799918264904293,
      0.0512853850188299,
      -1.76773370691026,
      -0.745153416855567,
      -0.66299766408937,
      1.40266316185673,
      -2.36195122160848,
      1.31151291138427,
      0.455355191571541,
      0.373200814934851,
      -0.205176659031618,
      -1.45076645578261,
      0.65591380453933,
      0.79267154088565,
      -0.823748002808692,
      1.22636800212365,
      -1.49700897211727,
      0.804416717105099,
      1.4058841912182,
      -1.52938646064241,
      0.0726281862455799,
      0.273008151453567,
      -0.206748621938449,
      0.63174145243128,
      -0.521956536502138,
      0.933876567372181,
      -0.87776652180996,
      -0.757014399380748,
      1.37955141164308,
      -2.34165254472796,
      0.987730678013496,
      0.223150213722124,
      1.19954684795388,
      -0.571010174671479,
      -0.423554314547835,
      -0.212609841945899,
      0.739050234240678,
      -0.541341758760957,
      0.752336695174358,
      -1.34348451165896,
      0.682993520934695,
      1.18627331780344,
      -1.42162876064082,
      -0.154150334606475,
      0.460573975941917,
      -0.102183767462237,
      0.468190391560545,
      0.183090541804191,
      -0.519176108917402,
      2.02045912332623,
      -1.63199551857826,
      -0.377694752430936,
      0.497819368451594,
      0.920703910757698,
      -1.12192527807785,
      0.168903163691486,
      -0.547610753102822,
      1.4460654441914,
      -0.655351996970711,
      -1.57868327643127,
      -0.335453986510428,
      1.53258255527993,
      -0.520873020718707,
      1.42446744462914,
      -1.41189884053068,
      0.257179210499476,
      0.425086817781707,
      -0.496957839733814,
      0.486863991003906,
      0.1883941580659,
      -0.403127678470631,
      0.549143334590148,
      1.56346824575364,
      -1.74049785097573,
      -0.414479752445977,
      0.451393368576797,
      0.0284847968841651,
      -0.128115444881131,
      -0.14096468750357,
      -0.689533623081243,
      1.5282561546783,
      0.309869463734727,
      -1.7828036803664,
      -1.34668404024832,
      1.59739119311947,
      -0.105745945659121,
      0.788651482792325,
      -1.47819849171121,
      0.448218831961069,
      1.21739306115523,
      -1.70837693580281,
      1.31594713187055,
      -0.858423500579198,
      0.328984067361182,
      0.217718977607488,
      1.33189749935937,
      -1.97562345715656,
      1.00369370002261,
      0.431126413858578,
      -1.15119402526612,
      -0.484192978526262,
      1.12636934480598,
      -0.103343770655928,
      -0.460554544586279,
      -0.243418186779975,
      0.288238794868739,
      -0.423585001324516,
      0.826440842187554,
      -1.30443032323433,
      0.776869322288495,
      1.42449531985555,
      -1.34066731187625,
      0.925929264091161,
      -0.850350309961402,
      2.1137863445091,
      -3.20046376758856,
      0.933738054203091,
      -0.494458288807531,
      0.609693894130913,
      -0.605668408881004,
      1.82272618260755,
      -0.72027235217171,
      0.274723846242065,
      -1.41668053405139,
      0.799441139965134,
      1.75263207639176,
      -2.4200085445327,
      -0.0452697828826419,
      -0.167092916926851,
      0.89971536622638,
      -0.529862974317505,
      -0.864770233703846,
      1.64457444369304,
      0.37939788393311,
      -0.895815862362221,
      0.00771950190971901,
      0.173412120703035,
      2.22831908341574,
      -3.46003894568513,
      0.2129619788077,
      0.404630954009342,
      0.0497744695994902,
      -0.164010654256012,
      2.18188728618206,
      -0.243391077902667,
      -0.735008725442178,
      -1.23864011863112,
      -0.193504316507982,
      1.37978222069145,
      0.776096494100204,
      -0.0506667120151724,
      -0.282181427020002,
      0.270618344295554,
      -1.93356447492094,
      -0.930013299448526,
      1.7984980193593,
      0.596389397292194,
      -1.91819528880718,
      1.46322306806037,
      0.466163388536421,
      0.435553426056723,
      -0.634493022428697,
      -0.115112958011871,
      -1.34756134444795,
      0.415660253953704,
      0.336527508782459,
      0.99090959483417,
      -0.361720479475804,
      -0.128746395612271,
      -1.69306625567852,
      0.816771829747064,
      0.728016497154796,
      1.08270810980492,
      -0.456711360414817,
      -0.0422395909506186,
      -0.215560497918329,
      -0.65146835559937,
      -1.39774613771395,
      1.99998633038916,
      -0.153359929576838,
      -1.78131918818292,
      1.4062212787454,
      0.136311335546436,
      0.6575748276616,
      -0.249284034163416,
      -0.413591799996181,
      -1.59654228820242,
      2.38886362606662,
      0.0028032965657847,
      -0.716276605433446,
      0.154637060994543,
      -0.408654748439619,
      0.139754115336251,
      0.274838016259087,
      -0.962296531101648,
      -1.02418904058998,
      1.02277628921246,
      0.00504742295589616,
      -0.239479997566593,
      0.273826987505275,
      1.04162830760735,
      -0.293070423560981,
      -1.6346985613342,
      0.781639378576294,
      -1.13800806929678,
      1.66186449188439,
      0.50119724207477,
      0.806840927887621,
      -1.36929802837422,
      -0.524209906542397,
      1.45802147345078,
      0.217020924581792,
      -0.667908869264079,
      0.0905819106217925,
      -1.17740069041329,
      1.51293833885688,
      -0.130949899948906,
      -0.665801149592574,
      -1.64840385784323,
      1.2129767044555,
      -0.896172115191921,
      0.101844514186325,
      0.211952770018427,
      1.25196065221887,
      -0.444215506734385,
      -0.462887009436391,
      0.209636158251461,
      -1.74577581554883,
      2.69965112166166,
      -0.761118454971444,
      0.142140817915756,
      -0.200385300124579,
      0.46465727613679,
      -0.48799262645847,
      -0.974354272649369,
      2.4034971178534,
      0.219227791798508,
      -1.45916977845857,
      1.46473253099155,
      -1.75026998185694,
      2.99303290524663,
      -3.48137570786549,
      -0.426492441462745,
      0.765759410403679,
      -0.12444180415158,
      0.00110527838158156,
      1.87186644086309,
      -1.22066998341051,
      1.40087107557262,
      -2.45209056899652,
      1.53124282516128,
      2.06302802747574,
      -2.87895773863404,
      -0.0605843703565484,
      -0.548730415144839,
      2.66709681350042,
      -2.37372206491105,
      -0.589114478431918,
      2.6467169244509,
      -0.801379296677492,
      -0.668823740279213,
      0.00955897188950298,
      -0.377557132778774,
      2.51915883017171,
      -1.55849753049015,
      -1.59307890035195,
      0.934176486474103,
      -0.111315839138441,
      -0.141825461939862,
      0.676324427985143,
      0.0987610488607187,
      1.02664126629496,
      -2.08774708405258,
      1.83039403753166,
      0.879207001578531,
      -2.58553839040308,
      0.799099326755152,
      -1.49474382937138,
      2.58271418591445,
      1.41653965467246,
      0.298196373582092,
      -0.650132698733411,
      -1.55855037552763,
      -0.248535651173774,
      1.90519698018518,
      -1.59231994611046,
      -1.423157407025,
      -0.843154218725219,
      3.33667721133269,
      0.448634285152112,
      -0.224977767799045,
      -1.94971595514575,
      -0.166589352868621,
      0.0892138519122194,
      2.59448723920851,
      -0.710568973747964,
      -1.58531170738847,
      0.148314655632216,
      0.594372191218333,
      -1.10588255212288,
      1.44542482718875,
      -0.23549147800378,
      -0.756278041822296,
      0.0482478432761106,
      -0.277648748947562,
      -0.51290226732309,
      0.775128735306568,
      -1.67238002214244,
      1.12766072475724,
      0.0317057408650352,
      0.456831834707482,
      0.762323882088185,
      -2.30867466067336,
      1.11320024804986,
      0.21649870400054,
      0.396056865323994,
      -1.04900473446997,
      0.471790507580255,
      -0.725130731746612,
      1.16712194229087,
      -1.20545176469986,
      -0.110294217319105,
      1.23079678073314,
      0.766474918159117,
      -0.483048473282051,
      -1.33330155240813,
      2.10823368619859,
      -0.732251184439536,
      -0.373700208288101,
      -0.944345340929884,
      1.00041049342614,
      0.991330425591244,
      -1.73057721412836,
      -0.0138524336893291,
      -0.278970090517613,
      0.561160644606138,
      -0.572033039134274,
      -0.704963798023618,
      1.91796335133893,
      0.487793910585504,
      -1.15735975176507,
      1.31804697600482,
      -1.2458419727654,
      3.15732668615121,
      -3.84857336909283,
      -0.152676899140451,
      0.75167230421547,
      -0.349454791833657,
      -0.383563450084554,
      1.99604441074815,
      -0.526797790705069,
      0.497419634016443,
      -2.15493244667497,
      0.865598964676846,
      2.49664378183495,
      -2.90777313029943,
      0.600461181093428,
      -1.2685746813233,
      2.44578275882792,
      -2.1111758225394,
      -0.364107824443739,
      2.7290904361851,
      -0.897084032866601,
      -0.901325381335565,
      -0.290153340009061,
      0.96268274198496,
      1.72582949462108,
      -2.77455316235867,
      -0.249935893413792,
      0.942165818251844,
      -0.180867223920829,
      0.440553119234611,
      -0.810505397065033,
      0.224995882054675,
      0.610402865903913,
      -0.857679107806269,
      -0.578419973193463,
      0.933476370054035,
      -0.818780508693616,
      -0.225355994173335,
      1.1380777134213,
      -0.596990633085072,
      -0.0152321191151363,
      0.327636271901351,
      -0.390215888252418,
      0.363160747182514,
      0.0665639852979804,
      -0.145055616500175,
      0.43749688383827,
      -0.461890763426648,
      0.109144897485438,
      0.951888233448957,
      -0.737317640665069,
      0.267150063666009,
      2.73776814761037,
      0.262321305691107,
      -0.0643388729555912,
      -0.222565717773765,
      0,
      0,
      0,
      0.279730418387308,
      0.213409416912815,
      0.121746171957757,
      -0.171092135932587,
      0.383280445429098,
      -0.437258402577141,
      0.405982908418152,
      0.0537641773741225,
      -0.0824867502572628,
      -0.462318893090431,
      -0.509716833361447,
      1.01051833119006,
      -0.28806202866427,
      -0.0901797391434038,
      0.0678516346964239,
      0.485393449607527,
      -0.710562390614698,
      0.543180853779407,
      0.36706831467035,
      -0.681383642161173,
      -0.395323608892722,
      2.10227927981305,
      -0.805943126044518,
      0.580610029471465,
      -0.211369699492028,
      -0.611289680947321,
      1.25873486575127,
      0.44645498559738,
      0.993528832192401,
      -1.96874739628539,
      1.1239712719507,
      -0.303913013599729,
      0.247197224094161,
      -0.520729679976,
      0.119942193446174,
      -0.429351111670117,
      0.205186584882284,
      1.15612933207196,
      -1.78007048170632,
      0.511682057003418,
      0.340497657684924,
      -0.895603826711843,
      2.68514810754661,
      -1.32851888906474,
      -1.15756972132267,
      -0.0447648740456461,
      0.182260899971044,
      0.309876405408674,
      -1.29692622703827,
      1.63506079240182,
      0.976791020918321,
      0.265846094073808,
      -1.81578896340963,
      1.69320255728341,
      -0.210445177652624,
      -0.986568313652767,
      -0.0118669214097818,
      0.417766794288764,
      -0.932724533107633,
      0.266440533217572,
      0.617863741791963,
      -1.78849052669833,
      1.41692123955527,
      -0.33164684165902,
      -0.446145761992754,
      2.90713452064366,
      -1.96386372826558,
      0.316858776341359,
      -0.446232791187271,
      -0.767140991266067,
      0.693790453585654,
      -0.582605533442125,
      0.228742219037607,
      0.62777077080874,
      -1.34812279607528,
      -0.071282075907983,
      0.820341858228896,
      1.71818461764572,
      -1.53243352362628,
      0.69708758726125,
      -0.936227037555476,
      -0.692087640188014,
      1.09488223914638,
      -0.411879223974496,
      -1.31325491396452,
      1.26086015247214,
      -0.342310083213917,
      -0.259868223935179,
      0.846708252386142,
      -0.0558214634877116,
      0.415269993795849,
      0.0742180038652512,
      -0.461004962664577,
      0.362164680503194,
      -0.376732289462728,
      -1.23827827162674,
      1.43344975037514,
      -0.691917779975881,
      -0.374535913596737,
      0.782560226023093,
      1.04198521018829,
      -1.27500834633418,
      0.978154402859768,
      -0.695779100003183,
      -1.05491774626325,
      1.37159431464218,
      -0.367125381101532,
      -0.992738416192057,
      0.567516602324906,
      -1.03146527652123,
      1.06706624102859,
      -0.10936274659681,
      0.952226612707368,
      -0.447887820756237,
      1.63120261833521,
      -0.135741939570791,
      -0.248052550745951,
      -1.32061176418498,
      -0.264162792241615,
      1.62532834271242,
      -2.36334802052063,
      0.910646550505436,
      0.46508583492602,
      1.87478251393176,
      -1.59642076188056,
      1.51444200445646,
      0.281956314973497,
      -1.23713870489857,
      -2.09943533502427,
      1.26353000431883,
      -0.700498095668415,
      -1.02154514956954,
      0.721907412753186,
      0.713124959817045,
      0.685789497444011,
      0.734171215370986,
      0.268609645675975,
      0.168877515913383,
      -0.74626064833299,
      -0.00333537829377247,
      -1.7129475927945,
      0.588214635501814,
      1.31145470572836,
      -2.56412121349933,
      1.14323140617866,
      0.94160621953426,
      1.22797321775999,
      -0.904577078473285,
      0.497481419761206,
      0.396762837624583,
      -0.378770261595209,
      -1.75082631898361,
      -0.233015110124905,
      -0.892855626977094,
      0.170845339933251,
      0.175389166359097,
      0.695106194124582,
      0.619093554187001,
      0.116917892419084,
      1.35538303449642,
      -1.17320414443358,
      -0.497062013955471,
      1.18228684967042,
      -0.0930146804103048,
      -1.80968374674604,
      1.39402692692177,
      0.37182220981207,
      -1.34379510962281,
      1.00523000585854,
      0.674003474494933,
      -1.20801761256694,
      -0.188041901195112,
      -0.773078056276454,
      1.15290100199706,
      -1.07437331491328,
      0.380677833227283,
      1.04839446679589,
      -0.829934355304943,
      0.372032202054948,
      -0.032758411912404,
      -0.0255963183150558,
      -0.172042484927417,
      -0.180573730144767,
      -0.330340366244101,
      -0.154755460803938,
      1.53573558183685,
      -0.470589641723131,
      -0.4408603374046,
      1.00346638145774,
      -0.607418381976617,
      -0.0809669275039983,
      0.0227734623252362,
      0.629517366998692,
      -0.2752169359201,
      -0.548690301587516,
      -0.920149010553612,
      1.27370036426236,
      -1.28906044174479,
      1.04440294702265,
      0.700840717328772,
      -0.852769256249323,
      0.0340690519425917,
      0.222406696148804,
      0.432628386868381,
      -1.06464412775245,
      -0.0847836095556799,
      -0.175128273152454,
      0.0107177251133098,
      -0.656685883589349,
      -0.199457869487148,
      0.140341592801013,
      0.679030700697028,
      -0.0157910029388354,
      -0.0999634208267592,
      -1.33801362428052,
      0.594766503590963,
      1.72967222242296,
      -1.90123111659335,
      0.97860773295426,
      0.0251453763696353,
      -0.0931056348299612,
      1.09610164487192,
      -0.720906120179615,
      -1.38769373007021,
      0.14846083729792,
      1.44348594358553,
      -1.17450381380273,
      0.0247192201815039,
      0.322612332554876,
      0.276317032792317,
      -0.401011425095024,
      -0.579943261038553,
      -0.000986370188352887,
      0.933438742553691,
      -0.429906906384342,
      0.380039027694123,
      0.396015506281482,
      -1.1352255621501,
      -0.397990394982415,
      1.88928735246598,
      -1.995547414038,
      1.83065453890048,
      -1.1951552227437,
      0.459809730632257,
      0.901767864572627,
      -0.330990870863175,
      -1.0048268262115,
      -0.0726571545800151,
      1.0476993828862,
      -0.735185588177398,
      -0.60065170692192,
      0.723855909381552,
      2.76282835248116,
      -0.449127439647658,
      -2.06335279037703,
      0.628866114794945,
      -0.885001662953449,
      -0.216503284428791,
      0.208869132964315,
      1.11938868386008,
      0.483384959298417,
      -0.246039456287945,
      1.0179834137929,
      0.267335762235788,
      -1.06527930150475,
      -0.277994659396258,
      -1.33195544306265,
      1.47040036184589,
      0.637038624636026,
      -2.35032270894461,
      0.788091040190918,
      1.19373664088036,
      0.356245549434667,
      -0.18624111235579,
      0.949854179580228,
      -0.477520811328378,
      -0.202152877941142,
      -1.26242809209465,
      -0.586589838766186,
      -0.309252334349275,
      -0.0848158038228682,
      -0.239887155428739,
      1.34092399583988,
      0.940005645918894,
      -0.960525143809505,
      1.21423033983169,
      0.445376297964585,
      -1.67672084862363,
      0.166388516026932,
      -1.12743218954795,
      1.00551098821399,
      0.276540877040038,
      -0.776680394030162,
      0.142758764623824,
      0.912417755900691,
      0.318078581647471,
      0.00153200029502731,
      -0.0503245101175052,
      -1.59030935244119,
      -0.716204878026279,
      1.2635162894995,
      0.698742168652721,
      -1.0527440945367,
      0.00589962237834793,
      1.86257699468688,
      -0.571373879055751,
      -1.05373976198372,
      -0.49926360005747,
      -0.215377212532358,
      1.26385774043615,
      -0.943960238221718,
      0.0995764613220567,
      0.0840776614262924,
      -0.0483681669582402,
      0.617924245597913,
      -0.355827153808332,
      -0.638866604096742,
      1.61402180231428,
      0.538786436952839,
      -2.15197328530923,
      2.34790386893665,
      -2.18384586236714,
      1.43006536515566,
      -0.54356129624843,
      -1.4267089005203,
      -0.476059679083027,
      1.49294545224334,
      -0.73575365466741,
      1.14969687422685,
      -1.06187985658453,
      -0.137886309370241,
      -0.190889558144744,
      2.26789978110549,
      -1.66382686093212,
      0.701730372988006,
      -1.06298279630869,
      0.400557183650292,
      1.7281034473881,
      -1.45587107001187,
      0.832086960676184,
      -2.15167667269344,
      0.653847013777139,
      -0.286550920841764,
      2.93266771625008,
      -0.947680704546717,
      -0.0914656394046451,
      -1.15943562235603,
      0.0977409454693165,
      0.865343530268069,
      -1.90862806248238,
      1.37230559087864,
      0.74639292151464,
      1.14247707958578,
      -0.95675233109911,
      0.870926383765524,
      -0.343775548115588,
      -0.0281552716360083,
      -1.95757204898908,
      0.420924274671376,
      -0.721420539026547,
      0.101385833504559,
      -0.419261559299639,
      1.34540928970644,
      0.16780773797509,
      0.373077476925496,
      0.937811847131892,
      -0.0949883292498172,
      -0.959934312073647,
      -0.0731349436758141,
      -1.33652126194372,
      1.0555952228381,
      0.717838671480613,
      -2.00576717410988,
      1.20362768129181,
      0.957839978122077,
      0.54581461270887,
      -0.960872330132086,
      0.743376464220298,
      -0.173788867652099,
      0.157691166529398,
      -1.37885814510275,
      -0.225265337692708,
      -0.661959437173869,
      -0.127341230729799,
      -0.113608666766454,
      0.941209611335241,
      0.837890866443953,
      -0.427215039496784,
      1.41614513406735,
      -3.0281866914264,
      -1.04609478616651,
      -0.609642436834031,
      0.194070983421095,
      -0.510577249239891,
      0.357964135791733,
      0.72383099822729,
      -0.60392290393984,
      0.623257368340192,
      -0.158033567577851,
      -1.00218989244455,
      0.296892048206235,
      0.940318771988497,
      0.180721576309542,
      -0.180198166247229,
      -0.63135413394371,
      0.300785208059419,
      0.295091765604326,
      -0.492372813975103,
      -0.121669667359163,
      0.227991567386409,
      0.621022944112379,
      -0.808217169268777,
      -0.695883591111533,
      1.2877151452801,
      0.11211773546079,
      -0.0612172038329934,
      -0.221945933305695,
      0,
      0,
      0,
      0.131584347057784,
      -0.194512464280594,
      0.560208018967949,
      -0.035343950990978,
      0.0825448714938162,
      0.125765651952212,
      -0.305570937080748,
      -0.207437705467879,
      0.388570210161151,
      -0.533978498424699,
      -1.393119904164,
      2.51753792896999,
      -1.2948868781628,
      0.493967710707712,
      0.581406416825185,
      -0.545718232188019,
      -0.533772278108395,
      0.83225091364089,
      0.95162465103042,
      -1.17117474517825,
      -1.0921029180803,
      -0.404073586331032,
      -0.571821234618345,
      1.58388879858742,
      -0.401721567599284,
      -0.0616014962811063,
      0.0119728612065297,
      -0.397567116387851,
      1.68708252353757,
      -0.062277235423314,
      0.781493338698819,
      -1.02475679021502,
      -0.200609313966811,
      -0.0719562539982147,
      1.69417901494676,
      -1.84128800544398,
      1.09091425249297,
      0.519555692618698,
      -3.26957325195857,
      1.44960570868313,
      1.83782442514741,
      -4.48869817578042,
      1.97295521972298,
      2.49409177208436,
      -2.56698596926068,
      -0.180128455556037,
      1.48730968784457,
      -0.297588131494585,
      -0.555887895286746,
      0.139372906681485,
      -0.959461141118838,
      2.16979515292417,
      -0.0660318853658399,
      0.586216501321359,
      -0.810110782997964,
      -0.89563178253582,
      0.65174461338289,
      1.27598197916564,
      -3.38779811090819,
      2.80508620817164,
      1.27707284040732,
      -5.33595727435732,
      3.648187588431,
      0.0631531952673101,
      -2.22611661774013,
      -0.524451747024087,
      3.17685978474397,
      -0.492405376156151,
      -1.72439001497834,
      1.54602475751802,
      -0.72837127882988,
      0.510600775495373,
      0.105088595748567,
      0.117285735199355,
      1.3881685815367,
      -1.82634336744728,
      0.587330529768738,
      0.552966891351473,
      -2.33424889926669,
      0.326645766032215,
      1.30237947643306,
      -3.23179395492917,
      3.96392496824283,
      0.203139777850768,
      -3.62276853000101,
      1.90321093794195,
      0.0724978645625702,
      -1.50432520918509,
      1.90271003219843,
      1.23612683087091,
      0.390339370669382,
      -1.27826269752226,
      -0.572558863979759,
      0.0489432637353687,
      0.728048948273995,
      -0.709785779145473,
      -0.817447519142423,
      1.3545126575224,
      -1.08483558613648,
      1.37744317382408,
      0.980489531775206,
      -4.34271145912218,
      1.66613134168045,
      1.42497285257436,
      -2.68104405331732,
      3.21695477135452,
      0.130059165629851,
      -2.17614845362222,
      1.29597880954591,
      0.266783909063838,
      -0.577338386385086,
      0.0633631864915934,
      0.672800323809357,
      -0.0533956340745504,
      -0.30788893569283,
      -0.341562991728988,
      -0.814755286590659,
      0.50454518268316,
      -0.521946291770969,
      0.326559763626476,
      1.91306369301093,
      -2.93958758917127,
      0.730329147934101,
      1.44044072888556,
      -2.52903109060467,
      0.777469659374433,
      1.46777114617933,
      -0.560541839211409,
      -0.73865979050533,
      0.743294622028435,
      -0.68971107139745,
      -1.02775456274126,
      2.26887351063528,
      -2.91712345357522,
      2.62737073580247,
      0.222559974393587,
      0.574867702728695,
      -1.05103826837624,
      -0.00721385568703258,
      -0.47964878452228,
      0.00425035574815355,
      -0.945031343336419,
      1.03398431702561,
      1.78481700317878,
      -3.85119753643664,
      1.57499858289683,
      1.9398500682821,
      -1.79165866951491,
      -0.116197587152467,
      2.24455709499913,
      -0.540662534319434,
      -1.18637213948683,
      -0.26217989305743,
      0.0695967125841835,
      -1.36446748802913,
      2.0710599029876,
      -2.5810932113567,
      2.41249232580643,
      0.245212837923072,
      0.441718525652336,
      -1.10282878654282,
      -3.01076749296993,
      4.09284853937638,
      2.22338816169897,
      -5.90020475205061,
      1.5884881117327,
      -0.269480744113015,
      0.500539266102246,
      2.1727863160831,
      0.392216560967436,
      -1.18154143756763,
      0.947981554728339,
      -1.65398301811772,
      1.0201840351513,
      -0.44174888192284,
      0.568575389923022,
      -1.15476275324716,
      1.4188917249221,
      -0.897464869744398,
      0.729974555770616,
      -0.155069724837802,
      -2.94601657273785,
      1.04305158027285,
      1.04870692509135,
      -3.1213422871747,
      4.03167288858255,
      1.53235708903219,
      -4.50536493108941,
      0.359468593593686,
      1.14536121037212,
      0.797186412851258,
      0.508739621451223,
      0.100983337156498,
      0.376661009286996,
      0.0981399549441738,
      -1.25287633687262,
      1.13052566899603,
      -0.523060354894585,
      0.435665692250582,
      -1.91362749154611,
      1.90187070979802,
      -1.48249979711947,
      1.27477547651542,
      -1.20311621344777,
      -1.89598510343147,
      1.30361652233624,
      0.281769556800638,
      -1.12703904980374,
      1.08469333451687,
      1.84236143257515,
      -1.52202031878512,
      0.415145189441842,
      1.00488547117879,
      -0.406538046576634,
      0.504562734890988,
      -0.1455801958254,
      -1.77487311782268,
      0.96521851578701,
      0.0120275062562065,
      0.587993484642201,
      0.651775501565699,
      -1.29062685058833,
      -0.763688979313771,
      2.43399846833506,
      -3.72716816370347,
      4.47921761129425,
      -0.194273504362122,
      -4.43104462183793,
      1.66889724004403,
      -0.125512086741408,
      -0.0552796361786542,
      -0.115085443099964,
      1.69270429453175,
      -1.09510733668399,
      1.27356205969636,
      -0.26163987426038,
      0.133265862731158,
      0.727993118740798,
      -1.66995958889924,
      -1.44098924215561,
      0.952448053044636,
      -0.1802725774032,
      1.99380152837062,
      0.643822075557751,
      -3.09658532205622,
      0.803096507973182,
      1.27634038160566,
      -3.65871289815276,
      3.33654571805075,
      0.247134866651567,
      -2.34028094224943,
      1.21233671414664,
      1.73518242262385,
      -0.547957537356962,
      -1.67141269171755,
      0.612776063468855,
      -0.217040758309194,
      -0.381864174506654,
      1.12772371894088,
      -2.2091812367119,
      2.88162015387098,
      -1.01106321704472,
      0.690186755824293,
      -1.18492709192603,
      -0.471366678978699,
      0.285758515021029,
      0.437768733442215,
      -0.970793806997156,
      0.351813170726209,
      1.54957451978401,
      -3.0441282018972,
      0.843963368279881,
      2.10635929377842,
      -0.442491925178467,
      -0.336673525029747,
      1.35717537417119,
      -0.465960626130983,
      -1.27756794019793,
      0.51510101810039,
      -0.320002249155661,
      -0.0475949262328149,
      1.12979726811703,
      -2.46789394338105,
      2.86933750029765,
      -2.26647963380808,
      1.22914367533777,
      -0.0986471695177286,
      -1.96148033969191,
      1.1075100832415,
      0.971245964432448,
      -0.902051400401597,
      -0.939956336283414,
      3.8042538593498,
      -3.93708047286607,
      0.869943219651109,
      1.28038563235692,
      0.207429702698792,
      0.511989232540561,
      0.889612949826014,
      -1.19555894388205,
      0.255803233057206,
      -2.35940537843367,
      1.94706461869495,
      -0.29440139346693,
      -0.629469237044097,
      1.6644050836553,
      0.457581677156993,
      -0.584021752751936,
      0.669683305500063,
      -3.80420534377595,
      3.43629127927091,
      -2.02095264477488,
      -0.359450854531393,
      -0.317083667743525,
      2.76458609344906,
      -2.04095695213049,
      1.07301851401747,
      2.11999213078283,
      -4.80051356234949,
      2.18337095144633,
      -0.715944637226985,
      0.015572144998242,
      0.302704835926897,
      2.11091955910174,
      -2.96225181131475,
      0.370401916296708,
      0.857481128297805,
      -2.02499887146344,
      2.94177661310974,
      0.564424163647553,
      -4.09048499199293,
      2.44081096643036,
      -1.29858980256824,
      0.101701001468818,
      1.57899192876847,
      0.15419760702652,
      -0.95675657693768,
      0.594753143881778,
      -0.279856707990483,
      0.364574369025447,
      -0.0679182659018497,
      -0.19347648874358,
      0.274680662903397,
      0.0244246488731157,
      -0.146150819046237,
      -0.150992252820889,
      -0.437209403059539,
      -0.429248664091933,
      0.689403738065275,
      1.83312201226169,
      -3.70710599740049,
      1.34684784853972,
      1.77931280219263,
      -1.71303494240929,
      -0.0481838231701862,
      2.44042689887399,
      -0.519941679125247,
      -1.46747393106817,
      -0.111067803964358,
      0.265968493888386,
      -1.15312434152856,
      1.59604337802456,
      -2.5202514974468,
      3.19493857216716,
      -0.691882085936803,
      0.813005649161817,
      -1.03530682236549,
      -1.24108840720775,
      0.449043427476213,
      0.219943649459981,
      -0.368955191188114,
      -0.0329282801656234,
      2.16661553765343,
      -3.16529774675114,
      0.717372056897107,
      1.68728942807035,
      -0.631053083687534,
      0.109143624606131,
      1.32874432757919,
      -0.259391318041757,
      -1.36298608887412,
      -0.273146855068641,
      0.300942239455455,
      -0.597231125725804,
      1.25258431686926,
      -2.44460490617495,
      1.93805941723805,
      -0.320104328188151,
      0.68703500687268,
      1.02444434899839,
      -5.2203844179391,
      5.46275129134229,
      -0.129373297981087,
      -3.86683680167163,
      3.64474404780606,
      0.581165480657045,
      -1.86860938137221,
      1.58030142969427,
      -0.185106582181551,
      -0.85182916697304,
      0.814869230816427,
      0.346796728849678,
      -0.0360223525944391,
      0.16487067753327,
      -0.405458000449892,
      -0.256707337899094,
      0.187242342376282,
      -2.44160327549953,
      2.75308724926784,
      -0.541889502368903,
      -4.43255315489889,
      4.93818544912403,
      -0.465005737998967,
      -0.335069435243306,
      -0.16274739487661,
      -0.0585379358160213,
      -0.221189924018753,
      0,
      0,
      1.21313555750321e-32,
      1.08337324218221,
      0.168485834741576,
      -0.562613426400958,
      1.09535481199591,
      -0.666222088863639,
      0.176509444572104,
      0.145873252882035,
      -1.00038181662852,
      0.985025744399959,
      -0.173411976422433,
      -0.99822197257219,
      2.03597449482617,
      -1.19263451031331,
      0.662751430523291,
      0.227663582788233,
      -0.86302545745112,
      0.93774003807239,
      -0.960374754305222,
      1.08745584476872,
      -0.431633681137583,
      -0.458671590214491,
      1.41402847954583,
      -1.5408098151095,
      0.299729662367899,
      0.566978218537516,
      -1.26944116548877,
      -0.634989908352176,
      3.05588066689891,
      -0.895765921515599,
      0.295072310761969,
      -1.08240797571639,
      2.01372032582346,
      -0.89638253218259,
      0.843961071911414,
      -2.58248277158638,
      0.624644773841666,
      -0.502871787211288,
      1.36653728613204,
      -1.43325418428034,
      1.14129050852341,
      -1.20066246814852,
      -0.40601938846368,
      3.48530443937947,
      -1.08176814036404,
      0.657671992792563,
      -1.18001079836714,
      -1.34087098506222,
      1.29143154609179,
      -0.92135579009217,
      -1.18305305992393,
      3.2224793265757,
      -2.31353579514607,
      2.07577201040469,
      -1.49400271329039,
      2.24501852281254,
      -1.56379211757123,
      1.00152488344237,
      -2.51107334034672,
      0.0172585933073043,
      0.614356486531937,
      0.00525961318110238,
      -0.761907358379422,
      1.6476394676292,
      -0.591277314691788,
      -0.839097679563271,
      3.06877557685966,
      -0.501295417346917,
      0.184618749945965,
      0.0523735902590057,
      -1.68332680134069,
      1.01987195921743,
      0.978677953036833,
      -0.305891967083154,
      0.293387982478553,
      -0.814388221418614,
      0.846659635771861,
      -0.155195982624709,
      0.362238013943688,
      -2.04082059264486,
      0.747554884820821,
      -1.39664859816465,
      -0.508497630208594,
      1.02492128154185,
      -0.389817006653662,
      0.372530622351347,
      0.00209264022813488,
      2.03509330377965,
      0.904363018269499,
      -3.33204613795583,
      -0.359678368817389,
      2.25142413547623,
      -0.120768139894303,
      -1.07715797725704,
      1.28493063578971,
      0.890359702000166,
      0.400928669002949,
      -0.145895300482446,
      -0.359228288680107,
      -1.08256694715261,
      -0.211392924419195,
      0.310979374760642,
      -1.33002862197627,
      1.33920246948228,
      -2.16402966843144,
      0.435426987629836,
      1.07289036566735,
      -0.748161224947827,
      0.805121138704288,
      -0.574590706908609,
      0.528450861638064,
      1.07344002996737,
      -1.16519656910431,
      -0.832019455553556,
      0.671721767400219,
      -1.88050218891071,
      1.39550890834557,
      1.60015285299379,
      -0.773282760901486,
      -0.322815305091411,
      -0.512219853698941,
      -0.168116628751802,
      0.325764802553004,
      -0.0937564528310363,
      2.02511126017705,
      -2.47480314786574,
      1.30608194851475,
      -1.97802676036568,
      1.32800716814382,
      0.385128694121271,
      0.591030099449256,
      -0.742030751859826,
      0.0989243907482548,
      0.77762475029999,
      -1.03643234382057,
      0.728223465783397,
      -0.81102607909955,
      0.728339756426761,
      -3.23522517067973,
      1.95311816033965,
      1.37194607912347,
      -0.585636364890084,
      0.176694427362275,
      -0.937371601708056,
      0.362331281004225,
      -0.101461882283683,
      0.618034198573139,
      0.758150188985614,
      -0.739402234325544,
      -0.0544482254329127,
      -1.20301941770906,
      1.5283018279571,
      -0.0950058399836044,
      0.202748578588465,
      -0.42075741723233,
      0.284133187218574,
      1.01155460829017,
      -1.59507659747454,
      0.613682973994167,
      -1.87857206598334,
      2.44615946060337,
      -2.76382746484144,
      1.2269419530388,
      -0.659360772954812,
      -0.804739644217043,
      0.320410454323193,
      2.11675722662277,
      0.5407757120297,
      -2.09082630370687,
      0.873189038392967,
      0.882387197786612,
      -0.982779855062505,
      -0.0293095961058725,
      0.416193513995075,
      0.529877373441955,
      -0.0283922365967596,
      -0.104412405337912,
      -1.79109706122174,
      2.16103687559577,
      -0.119835011893326,
      -0.100906285859591,
      0.256819391635015,
      -0.775096968076091,
      -0.24313501900092,
      -0.742862734045111,
      -0.641034257833672,
      0.756785629975298,
      -0.597286092802087,
      0.486188432598323,
      1.91423455398892,
      -0.100619414675041,
      -1.61235128108385,
      0.152297430688842,
      0.829871461510146,
      -1.45517873973475,
      0.46704563343345,
      1.31050026691745,
      0.336259089258117,
      -0.0388401191275448,
      -1.33576588086602,
      0.00798047746086577,
      0.630543313104197,
      -0.682213641216601,
      1.06210438172126,
      0.354475096182768,
      -1.49458409615225,
      0.105497789028863,
      -0.870589401302014,
      -0.449959556911455,
      2.42941828697407,
      -1.20900008051854,
      -0.0405131221664509,
      2.41744152046579,
      -1.94012965383529,
      0.0556528677023515,
      0.249851067251661,
      -0.202007161882184,
      0.773292490020201,
      -1.71303038787567,
      2.43625277071727,
      -1.9784387329476,
      1.01766721382607,
      -0.424690630182419,
      0.657104693161903,
      -0.759421614471815,
      -1.28372314082679,
      1.65369770581214,
      -0.256336709275088,
      -1.07724964313169,
      1.91780065644335,
      -1.74391331079126,
      -0.401289533593637,
      1.98778159208256,
      -1.31690275379916,
      0.498842166511813,
      2.22558716950765,
      -1.90745138988683,
      -0.105024111811266,
      -0.68856230951743,
      0.963109464945659,
      0.666195902212933,
      -2.55764472781252,
      2.72265685485993,
      -1.81988104227301,
      1.0671363820537,
      -1.70686922642376,
      1.88861985399789,
      0.0433253261349837,
      -2.32130580663215,
      2.40599730604999,
      -0.580357226593704,
      -0.799879318743534,
      1.06426186349216,
      -2.1275883240324,
      1.46423101349467,
      0.186796647624176,
      0.300460480096204,
      -0.372026159896397,
      0.194841077561558,
      0.766377119073984,
      -0.687483896175314,
      0.330204656427738,
      -1.99948784907423,
      2.28060136995975,
      -3.52599526032298,
      1.6518587278436,
      1.63510746447485,
      -0.350601173793396,
      -0.039661013318382,
      -0.409311648376264,
      0.608295289733356,
      -0.472199884996946,
      0.780353140227192,
      -0.716540513149355,
      0.0560952298136139,
      -0.0997211441304963,
      -1.42446397810607,
      2.45478290531518,
      -0.100341664926046,
      -0.475271018543517,
      -0.489191893223804,
      0.179690746160184,
      0.826274598193692,
      -0.893083820465136,
      1.14359498916137,
      -3.05619213866017,
      2.73173645991413,
      -3.64068547739899,
      1.41527849940519,
      1.34508650907147,
      0.364430247713357,
      -0.28085341827053,
      -0.261923596487312,
      1.02576113701318,
      -0.846370223286692,
      1.289745059447,
      -1.09488556139736,
      0.213562666084444,
      -1.64811611793052,
      -0.293453336229235,
      0.0393149690748503,
      0.496879694158538,
      0.828610290651142,
      0.421830310811615,
      1.29402885559247,
      -0.666827242340042,
      0.592529243058587,
      -1.63495928467342,
      -1.1875495683825,
      0.891965784580624,
      2.05160421064934,
      -0.310976171670093,
      0.757730720015441,
      -0.461051812447142,
      0.655546821232273,
      -3.11265427267081,
      2.13988576736203,
      -1.16512805623239,
      -0.989268006735119,
      2.60749215951689,
      -1.74011584922503,
      -0.280439094857898,
      0.029133145651332,
      1.67273031662335,
      -1.86899364798831,
      -1.01451694617936,
      2.5862241885598,
      -2.78860429025698,
      0.352092661993364,
      2.05583902033105,
      -1.11980936600381,
      -0.910319209430724,
      1.87546881308899,
      1.08639155018658,
      -1.84433311051142,
      -0.243319226300553,
      0.483940521697968,
      0.047645756849799,
      1.39633258192179,
      -1.24355571476039,
      -0.699753525285497,
      1.23813559798476,
      -0.33587561371373,
      -0.31022613529245,
      -3.00586703456431,
      2.25096522433597,
      1.09364768512036,
      -0.542902039185191,
      0.103322866569292,
      -0.369655457722318,
      -0.225195723027652,
      0.143836050970585,
      0.690547318205933,
      0.85867680822526,
      -1.20767513200629,
      0.193165127880375,
      -1.47814858227707,
      1.6784086469481,
      -0.236391875449285,
      0.352889368942796,
      -0.396325635980907,
      1.01216718176136,
      0.736193075137817,
      -1.58513807345747,
      0.359480662152322,
      -1.42408407218677,
      1.70485622894836,
      -3.6601427201674,
      1.85334741784031,
      1.29765108484646,
      -0.173694065382134,
      -0.294593990358807,
      0.0800874483643756,
      0.288831108076399,
      -0.251295928325735,
      0.663822428418252,
      -0.198877568617345,
      -0.528314471426952,
      -0.109576824814489,
      -0.835693959669598,
      2.04082521963618,
      -0.0964171165760818,
      -0.681419366162726,
      -0.205312202447894,
      -0.0964935061359196,
      1.57782703656846,
      -1.93918168329281,
      1.13532330114301,
      -2.68432159697559,
      3.035461920385,
      -3.06230163933044,
      -0.975830244059447,
      2.07609279159732,
      0.0323063340385925,
      -1.14295241519112,
      1.31142710057663,
      -0.263183819314336,
      -0.479150049727,
      0.709029062507503,
      0.101666012843166,
      0.171988167777418,
      -0.137935708247437,
      -1.03894653921788,
      0.0535650507167625,
      -0.0360944125812703,
      -0.0594980909968092,
      0.0718916349575449,
      -0.0503587621955202,
      -0.365116286828599,
      0.670322444611915,
      0.084222863381741,
      -1.43144396327485,
      1.2160982128103,
      0.0870725480834551,
      -0.641021345142828,
      -0.288931175461034,
      -0.0561678999484354,
      -0.220298588978794,
      -3.01382251275007e-32,
      3.71422791546561e-31,
      1.55116688914366e-32,
      0.0247226314913477,
      0.212401724617621,
      -0.188991011062891,
      0.389252911132671,
      -0.14556897138038,
      -0.0457694619259055,
      0.315432594660054,
      -0.555549703477274,
      0.0976630702351281,
      0.0605976015289421,
      -1.19267528583441,
      2.54150051712642,
      -1.39480814524761,
      0.394847368306052,
      0.565794709140795,
      -0.948774599238901,
      0.246959353795142,
      0.420217457877267,
      0.725274009991131,
      -0.902896516471554,
      -0.717873562619089,
      -1.33154850360153,
      -0.480349231297425,
      0.465979976117502,
      0.312812723461989,
      -0.0556317831365892,
      -0.27325747496978,
      0.168900110221525,
      0.959974762090208,
      -0.888119250645345,
      -0.399479539016306,
      -0.117066517764495,
      -0.300967275377096,
      1.45916256443332,
      -0.0232886386853409,
      -0.198371554152386,
      -0.844991085464261,
      1.39055855199043,
      -2.13925340152438,
      0.952702811536556,
      0.610648309880287,
      -1.31139664914618,
      0.933553020014892,
      0.88986507560726,
      -0.124146274542891,
      -1.55328849159645,
      1.00341771822104,
      -0.171773585972878,
      -0.198409632051836,
      -0.182789326284232,
      0.303251203844487,
      0.897125906878561,
      -0.87649099835154,
      -0.612850824522702,
      0.448425457845319,
      -0.187799799195421,
      1.37748323132429,
      -0.900943706374222,
      -0.295510756812296,
      -0.0385922348184881,
      1.12632573094751,
      -2.05909912941627,
      0.472754155822462,
      0.634729455308509,
      -0.61506579661157,
      0.770874659043866,
      0.730454938800396,
      0.175793190550299,
      -0.728618009886159,
      -0.565443163387646,
      -0.316893418025772,
      0.816652498117173,
      -0.620754298193207,
      0.694659895546701,
      1.90795477970929,
      -1.44017932686291,
      0.398938272259744,
      0.340327230105323,
      -1.69106553801519,
      2.58511099446111,
      -2.016954924343,
      -1.31070659511107,
      0.939879666948198,
      0.0179142309783237,
      0.242719017218488,
      0.498115870088519,
      -1.46144146928389,
      -0.155588694910004,
      0.0765282345862304,
      1.12914307032993,
      0.401472195364627,
      -0.166742070960635,
      -0.92402883892186,
      0.222011156711912,
      0.295936983674541,
      -0.604749875389212,
      0.725508997134265,
      1.6101637213569,
      -1.47086062394701,
      0.131541466038226,
      1.0124455867097,
      -2.20335522759345,
      2.54898750145935,
      -1.54851999713671,
      -0.658536611453084,
      -0.0933172751309619,
      -0.0360036229788416,
      0.956074758268802,
      -0.0922771400684643,
      -0.93059392752525,
      0.00791751919219713,
      0.0303114882256538,
      0.127185044959127,
      0.674747710712564,
      -0.696695978030969,
      0.170059654725733,
      0.225063534241832,
      0.210486174752192,
      -0.848571292350902,
      -0.291611442310387,
      2.55129963157617,
      -2.05857684640319,
      -0.00335521873443634,
      1.89824629982922,
      -1.96057226356504,
      0.219088271706225,
      -1.08333669157387,
      1.24194873729437,
      -0.163677689510591,
      0.646871063797591,
      -0.881720225561937,
      0.209974598950375,
      2.49959836447228,
      -1.96911069528293,
      -0.19650926432469,
      -1.87901809276297,
      2.09320224534695,
      0.00960168311664363,
      -0.622074322981012,
      0.503860176142062,
      -0.138523779677876,
      -0.396319095729507,
      -0.489274782805991,
      1.96979043358832,
      -1.41927712929527,
      0.323888035604787,
      0.328004800792529,
      -0.335691862045794,
      -0.229238243450994,
      -0.833533921429715,
      1.31093779629217,
      -0.0383310712833309,
      -0.0221376805765177,
      -0.613005101813176,
      -0.0153417461299042,
      1.56414732457633,
      -1.12967756671371,
      0.856009813328042,
      -2.78005419717771,
      2.48925754685409,
      0.0201677430328423,
      -2.42929638772758,
      1.56654318471081,
      0.701121712405461,
      -1.69627573526453,
      0.690211498406305,
      0.140077167889857,
      -0.475540444396122,
      1.21882095725898,
      1.23940600581005,
      -1.20117867168106,
      -0.234895180864432,
      -0.148890792559584,
      1.25662702336443,
      -3.01848385697462,
      0.418637178141794,
      0.84589002088009,
      1.30224794930221,
      -0.401675155992027,
      -0.237575806283875,
      1.06064235832622,
      -2.71402281276688,
      1.07205729433971,
      0.634673003169702,
      -1.73692160728012,
      0.808277162403794,
      0.775341570186698,
      -0.556107920173211,
      -0.09172053743327,
      0.299507400331638,
      -0.403078311975081,
      0.816381036082223,
      1.31487340073385,
      -1.47178529823189,
      0.710196492659579,
      -1.15382527500264,
      2.18659334660388,
      -2.82653131562151,
      0.0189640958954538,
      0.533476469450501,
      0.953253155412982,
      -0.710756933220232,
      0.679518230723627,
      0.216790194415619,
      -2.03558017365076,
      0.499933595858741,
      0.787226845831909,
      -0.548338055794071,
      -0.927079860817602,
      0.557756295928732,
      0.129028796960071,
      2.24250087140086,
      -0.993721765728668,
      -0.535050708967161,
      0.302988388118728,
      -0.452314773516514,
      -0.170361817762837,
      1.42925014206206,
      -0.662820991386165,
      -0.350710658781154,
      0.991825515297429,
      -1.76348660206019,
      0.757526216343773,
      1.58408071790561,
      -2.41248502966994,
      1.35580107498474,
      0.599608754557706,
      -1.38510402859746,
      1.26262995665315,
      -0.696146814592933,
      -0.533998271107055,
      -1.28140330881238,
      1.02575048768606,
      -0.45557485874231,
      2.92153372010129,
      -1.464004132847,
      -0.509477460040611,
      -0.0404216479210879,
      -0.52010036776817,
      0.190849176509324,
      0.882331929618484,
      -0.498947239521917,
      -0.00732210188196416,
      1.66987731788397,
      -3.38557484600819,
      1.28771160028414,
      1.53904030569454,
      -1.89077028547041,
      0.491537666434464,
      0.412827208473162,
      -0.665054990969071,
      0.541229890197747,
      -1.15956397095065,
      1.36068928359652,
      0.0573920866334614,
      0.455114112152258,
      -0.939468394267426,
      1.1565434375683,
      0.0722570684853828,
      -0.164983256826223,
      -0.0483925548714265,
      -2.27675603978835,
      2.08644134033767,
      -0.552892217727071,
      -0.540815156615911,
      0.821269876329534,
      -0.301787994299217,
      0.350558499407404,
      -0.824086355545753,
      1.61946536938437,
      -0.74515381499318,
      -0.175123661192953,
      -0.190787732613172,
      0.529518171999458,
      -0.60581552524514,
      -0.497107449874661,
      0.785803468826772,
      0.52871372878486,
      -0.84785255820532,
      -0.377089833495616,
      1.88433597483722,
      -0.838316287102433,
      -0.451249299631654,
      1.90436036113645,
      -3.648617836804,
      2.10402738914188,
      -0.935314979185031,
      -0.113827041265587,
      0.755950879669336,
      -0.0748440315888569,
      0.201314190574847,
      -0.824678895048041,
      2.92342928302269,
      -1.68655500030679,
      -0.674541219862736,
      -0.452137937961096,
      1.23379072102232,
      -0.249784051038351,
      1.1463914849763,
      -0.0838208914095824,
      -0.122024017489554,
      0.914132019106246,
      -2.08248765982918,
      0.52427837583339,
      -1.44775315232998,
      1.06218775437709,
      -0.149617745590365,
      -0.0479194093821063,
      0.844743891266284,
      0.00463403700981165,
      1.72791777861221,
      -2.04754120333799,
      -0.210902953060447,
      0.386855807424795,
      -0.2585728686842,
      -0.146767687014712,
      0.486709774189491,
      1.53259127931163,
      -2.70539907830123,
      0.43788965588473,
      -1.9563807858842,
      0.443441229213159,
      0.537932092257749,
      0.0225662380225252,
      -1.49484715258629,
      1.28458185395574,
      0.607897762738664,
      -1.36952581125997,
      2.10583159593478,
      0.23685449634742,
      -1.45845167942236,
      -0.246604320204837,
      0.237853318209893,
      0.0237408545021013,
      0.235455698424425,
      0.232871586382007,
      -0.290325005220167,
      0.380401838423588,
      -0.103828726868231,
      -0.905064361531971,
      1.17324942312562,
      -0.747061312749883,
      0.978018236545761,
      -0.204676251122801,
      -0.281945481129527,
      0.687980202128357,
      -0.239540194442156,
      -0.844148538526947,
      0.0331270496449112,
      1.88455691336857,
      -1.33374049861051,
      0.0877109082550471,
      0.370777394208879,
      -0.351856445976573,
      -0.484817561012993,
      -0.543920191917571,
      1.25864164487763,
      -0.0216732934621721,
      0.427695669127328,
      -1.21788288571637,
      0.483190066135899,
      1.38665961041527,
      -0.461330390627362,
      0.315283598439005,
      -3.09241417268869,
      2.87699212964654,
      -0.916660232319953,
      -0.782777136970592,
      1.30135893182814,
      -0.843008221583439,
      0.169023670967449,
      -0.699249226706347,
      1.63633604106109,
      -0.528591088405709,
      -0.14194543364431,
      -0.219554716582674,
      0.332550100396039,
      0.121020953933412,
      -0.961311601150444,
      0.863426194702978,
      -0.202591309596313,
      -0.342357393775343,
      -0.0777020280364966,
      1.14929743436103,
      0.00416613703096335,
      -1.34117191155271,
      1.72301191649418,
      -2.96092016923384,
      2.22548975746426,
      -0.0931387581916008,
      -1.88257388974535,
      2.25571609893741,
      -0.0981101380847842,
      -1.58853467160905,
      1.53301085004563,
      -0.471175571477426,
      0.118263540142324,
      0.0202450829893615,
      0.0895915000784742,
      0.818050039297353,
      -0.879619709701373,
      -0.0536613128740216,
      -0.414710737075738,
      -0.179683266571589,
      0.217934687294314,
      0.253642468739783,
      -0.125394192639305,
      -1.10975976397325,
      1.55091592358395,
      -0.591741681234424,
      -1.20615901402493,
      1.54893625388803,
      1.52989396334229,
      -0.00456239641929569,
      -0.170853767138316,
      -0.0538382092888397,
      -0.219272987119,
      -2.39227665996318e-32,
      3.50704370565518e-31,
      0,
      0.704377803884417,
      0.406931471239336,
      -0.609607510716123,
      0.660231713095724,
      -0.256884119332809,
      0.190085548731574,
      0.105367503583088,
      -0.554966230535791,
      0.453175231261323,
      -0.245427916920095,
      -0.821043083401672,
      2.19109797912784,
      -1.37140131807943,
      0.617299250918718,
      -0.0367859130933778,
      -0.201628526135981,
      0.322613744491665,
      -0.246969491841873,
      0.789709521106415,
      -0.590037967401967,
      -0.726317337969537,
      1.51481600769767,
      -1.07899125978371,
      0.608535673071327,
      0.730133613858962,
      -0.0542808925152849,
      -0.562248323733801,
      0.549650771647912,
      0.933274097016392,
      -1.01333371998275,
      -0.159135391765267,
      1.00514258051871,
      -1.27579994262228,
      0.769881859172537,
      -0.800680243240484,
      -0.339153959269562,
      -0.353870211216896,
      0.919210205116195,
      -0.706272563635674,
      0.168671887628342,
      -0.9196931089862,
      1.33314672603637,
      0.958570386740656,
      -0.581243522700952,
      0.425926579618683,
      -1.14679517077939,
      -0.103986923895336,
      1.11356360159455,
      -0.52646829650922,
      0.0300758018093943,
      0.271625402750635,
      1.03749331098068,
      -1.58700451677124,
      0.168159026874904,
      1.47561882990227,
      -1.5629660489363,
      0.481687690791584,
      -0.96119554700809,
      0.00823395701192913,
      -0.050425324217557,
      -0.166118990173312,
      0.54115930560549,
      0.680083288235668,
      -1.61738454246928,
      1.39871252433727,
      0.270447311732338,
      0.108442143500927,
      0.0600338932449121,
      -0.722868077708106,
      -1.34127294093458,
      0.247632215745456,
      2.17259974592141,
      -1.46870685420958,
      0.236957935325654,
      0.437403093962355,
      -0.630662667905658,
      0.757538295522137,
      -0.425623985340306,
      0.679813806225022,
      0.00718087761231115,
      -0.399704519974859,
      -0.489144594038503,
      -0.45518211093175,
      -0.0550763545154608,
      0.566107340907115,
      0.533125028699988,
      -1.18812048005426,
      1.11017567142768,
      -1.13485632942036,
      -0.0438456013165118,
      1.14545681754336,
      -0.639681338920458,
      -0.261658124690023,
      0.218503940577583,
      0.828096823283333,
      -1.03569854824745,
      0.703051155860961,
      -0.401915558957102,
      0.0588971931453766,
      -0.262499422154658,
      0.196492111580603,
      0.931506035732013,
      0.256577745200237,
      -0.744964945460956,
      -0.240327149291809,
      -0.38160513317873,
      -0.248770250002941,
      0.806603445215462,
      -0.0409546807270537,
      -0.912550328053989,
      0.717427635849781,
      -0.154421072696847,
      0.0350270665650789,
      0.103191906168395,
      -1.13537965160096,
      1.99406211697416,
      -0.649008451407386,
      0.142983407620289,
      -0.139157333180916,
      -0.466668602882488,
      -0.652575488516324,
      0.948640894267477,
      -0.206870950188067,
      1.50448721309761,
      -1.31849646663831,
      0.205757969599245,
      -1.85019797182469,
      2.55530320745104,
      -0.765231867232692,
      0.0296505911039506,
      0.213659241226548,
      -1.04076371266503,
      0.951882115707346,
      -0.738608466019202,
      1.08904200684535,
      -2.21691137972344,
      2.5974439040699,
      -2.0827896219692,
      1.29679569902073,
      0.0910442219415132,
      -0.301366711510801,
      -0.135672816050739,
      -0.205277161281853,
      -0.603164932333402,
      1.05721693020452,
      0.258163216190385,
      -0.0128942124190754,
      -0.219248071390779,
      -0.00638618826639083,
      -1.51112560223168,
      2.09188149264009,
      -0.668980730211615,
      0.027242360352897,
      0.0925108911735904,
      -0.438817263097472,
      0.586393868774921,
      -1.04210774108285,
      1.56982763093332,
      -2.29471183172117,
      2.33653242960034,
      -1.77204789183597,
      1.23997262565961,
      -0.220053480331907,
      -1.28363947560036,
      1.45648805106336,
      0.533152149837085,
      -0.177240739073,
      -0.890699765702827,
      0.487156777547441,
      0.769839394174648,
      -1.31773699209192,
      0.231936397700695,
      0.115782384455269,
      1.28288395738599,
      -1.47444210395164,
      -0.878103146934326,
      0.298068535716775,
      3.04451639017554,
      -1.65248658299966,
      0.823217158210874,
      -0.603887901498394,
      -0.573374089498781,
      -0.9528432924132,
      -0.0398019669168968,
      0.98312249148429,
      -0.0285898140771,
      -1.18536350567185,
      1.64890658527826,
      -0.0823615535312729,
      -0.211992226901902,
      -0.545452454666004,
      -0.127866806187935,
      1.06742590295397,
      -1.42487332031557,
      1.41931983967447,
      -0.986247927388513,
      1.83536249325555,
      -1.42433165962658,
      -1.58209852521444,
      0.380416851194677,
      2.05600343615706,
      -0.291463420907336,
      0.453095379728509,
      0.16178898088821,
      -1.37544767195708,
      -0.479942991328865,
      0.843264526851992,
      -0.0765879281637541,
      0.189314291321723,
      -0.186112782003539,
      -0.982762882680784,
      1.62370344686782,
      -0.681849181335509,
      -0.879627712351285,
      1.93181940980033,
      -1.63854496645491,
      1.40490805767158,
      -1.49962776758798,
      0.562229731681074,
      0.2980652995398,
      1.05914406755113,
      -1.10126819722214,
      0.0346265894558854,
      1.91664893782014,
      -2.10564943025383,
      1.1652595743669,
      -1.31759430923928,
      0.309731990792189,
      -0.382443544897666,
      0.841547826985697,
      -0.711062308107239,
      0.171031441493666,
      -0.840147477053274,
      -0.337987941697612,
      2.05507828423461,
      -1.11758394859929,
      -0.383091065878065,
      1.56555689013261,
      -1.70507668087507,
      1.27195422282475,
      -1.93855930126684,
      0.898858281923593,
      0.603161439369975,
      1.57556674814642,
      -2.02551253445191,
      0.227750105005834,
      2.22417407756892,
      -2.31649368271974,
      0.582792083020251,
      -1.28646452659583,
      1.22516565373757,
      -0.211843767739095,
      -1.73483960911599,
      1.98115384745734,
      -0.542086208550496,
      0.0199890014366738,
      -0.34607471628465,
      0.405754408538312,
      -0.219813237465955,
      -0.599092313335909,
      1.51982214515425,
      -2.44152972139461,
      2.2324955969701,
      -1.46622618765259,
      1.13951883235694,
      -0.0839669973295869,
      -0.207636095882111,
      0.215087563870568,
      -0.594857181513665,
      -0.335843539610223,
      0.992818692891866,
      -0.0390296725872578,
      -0.274760354293625,
      0.423775169216544,
      -0.927092892675374,
      -0.225221196431507,
      1.08159903549394,
      -0.26245369461079,
      0.0107823604815756,
      -0.634382597008934,
      0.47467684813976,
      -0.501595611313794,
      0.457552186427494,
      1.06015155860642,
      -1.67209589713406,
      1.55208706784712,
      -2.36289335960141,
      1.86302577296934,
      -0.194980352201616,
      -0.338744592142105,
      0.377875798258835,
      -0.341274729741583,
      0.539468307550645,
      -0.0481102550085234,
      -0.0645625988660938,
      -0.412281060762365,
      0.4498723960811,
      -0.962644037983641,
      -0.350024342143265,
      0.157713942020186,
      0.301780824918971,
      2.25232743637743,
      0.676138300453343,
      -1.69839473606963,
      0.31588470036479,
      3.63056143262063,
      -2.72463184420159,
      -1.5767674887683,
      -0.358113819009477,
      1.30813897276459,
      1.43789912544622,
      0.127631346438406,
      -3.5703842376264,
      1.47819937221311,
      -2.25424327797132,
      3.2528245911487,
      0.39834941220393,
      -1.01505455243564,
      0.598194131006887,
      -0.0775755373327393,
      -2.94829719858797,
      0.273142721002458,
      1.17937405128193,
      -0.48015048172894,
      -0.860563225972381,
      0.673119745652246,
      -1.10466825623889,
      1.69760277163227,
      0.509618207257447,
      -0.875643803137796,
      0.332464419033656,
      -0.0897359496742379,
      0.883701777328384,
      -0.985342433178348,
      -0.643053195006939,
      0.937257409705775,
      -1.0052286013658,
      2.13080636243515,
      -1.33329400176236,
      -0.131318641205438,
      2.13201496897173,
      -2.3699110174611,
      0.404434944311419,
      -0.970609080240477,
      1.36815395482891,
      -0.149236268877378,
      -0.118638543613174,
      -0.173693476707144,
      -0.200499479589905,
      -0.60783356117681,
      0.70690654536349,
      0.214058493534132,
      0.507673645682593,
      -0.280461477092042,
      -0.0185076079748506,
      -1.66199176233397,
      2.31440721411519,
      -0.916145697922628,
      0.02305799568514,
      -0.158194096662167,
      0.859611681104387,
      -0.356832818390949,
      -0.621550813682541,
      1.33596793169918,
      -2.44685765747231,
      2.1118384292495,
      -1.49162044319018,
      1.10131163067202,
      -0.12334949621255,
      -0.308827876744432,
      0.330324777746069,
      -0.66713999064914,
      -0.459163765153424,
      1.22235255985154,
      0.0149950720011877,
      -0.496392926844297,
      0.00761247164866568,
      -0.0410393213669847,
      -0.597869336909887,
      1.56400880935948,
      -0.612845962265994,
      0.234197578809327,
      -0.833573138021269,
      0.132443315594502,
      0.561658876892204,
      -0.933874221745247,
      1.3335255888687,
      -1.53047524548736,
      1.60063921790492,
      -2.22694406962385,
      0.586750912962116,
      -1.20157054600542,
      0.107677478471966,
      1.67347621428902,
      -1.76923473532169,
      0.188790386136234,
      0.444369681331025,
      -0.325113605393982,
      0.0733870342194481,
      -0.21320462341029,
      -0.31158674489475,
      0.29312110685339,
      -0.01474845749563,
      0.0702527272640427,
      -0.738282280471089,
      0.532440006962711,
      -0.242812412083061,
      -0.124459327796577,
      0.0505254392408353,
      0.233449250383127,
      0.796187644056278,
      -0.96967303343428,
      0.059020359466989,
      0.515842546457802,
      0.0701093197244067,
      -0.0513387135725342,
      -0.218114335453812,
      0,
      0,
      0,
      0.958170241531294,
      -0.219960712241238,
      -0.000868370286384947,
      0.237652183287739,
      -0.317771973661269,
      0.0211778778241706,
      0.434269772969849,
      -0.450717280144993,
      0.189144728099357,
      0.162612543054828,
      -1.03191986330849,
      1.82097763279385,
      -0.742974514206326,
      -0.1306529425732,
      0.525922741151558,
      -0.344104319378754,
      -0.164741779018752,
      0.263861028970876,
      0.170741445278152,
      -0.527574638716102,
      -0.228360330783709,
      -1.34920031307742,
      -1.20972288755406,
      0.777499017581035,
      0.898333809961912,
      -1.10531272682152,
      0.0240726650819584,
      1.00865250795243,
      0.523184471524225,
      0.119362976276886,
      -0.934190386044615,
      0.463084870449502,
      0.173567205641148,
      -0.32677815859539,
      -0.0787658743678414,
      -1.07139884748731,
      0.356147111227237,
      1.83826438726007,
      -1.70054797248175,
      -0.206298329465817,
      1.02012041133873,
      -0.88230021895544,
      1.06900195696298,
      1.10851979765274,
      -0.965032646199833,
      -1.6110441348243,
      -0.156900312649174,
      1.2939136341488,
      -0.829715576292321,
      -0.0529443027096022,
      1.48738379754095,
      0.521169242769961,
      -0.898534833448326,
      -0.0871965586476541,
      0.152803264128015,
      0.0705210671754354,
      0.235094961808935,
      -0.867617687011596,
      -0.927325079775428,
      0.531030816581173,
      1.44642399149239,
      -1.58730155484673,
      0.0767233924327463,
      0.26657889413665,
      -0.369310150720117,
      0.717047367954271,
      1.21919797155554,
      -0.488777782850168,
      -1.7852430381221,
      -0.652571714016007,
      0.560843141618832,
      0.521303076045492,
      0.3819883359885,
      0.193377310558096,
      -0.60039609633069,
      0.00757748111975951,
      -0.235161185127901,
      1.01146604922067,
      -1.3667832972313,
      0.00206415535498371,
      0.458261780514827,
      0.124563767449984,
      0.701918610126773,
      0.0528164147920878,
      -1.22373085600282,
      0.785232772741861,
      -1.88509735118489,
      0.923898561297124,
      0.880150075149425,
      0.0403468458086966,
      0.841033617660507,
      -1.18266133764554,
      -0.352923100226433,
      0.174300334173225,
      0.832080568076392,
      -1.26898675281411,
      0.643191345992743,
      0.0948242018010581,
      -0.413490747013978,
      -0.222614697078822,
      1.54052750886995,
      -1.27283079918468,
      -0.417344119703865,
      1.04391658982822,
      -0.00933709157686552,
      0.547392359976577,
      -0.78944076924639,
      -0.669040006085796,
      0.771719938895653,
      -1.5463915557623,
      0.590830804277915,
      0.901736155209649,
      -0.0221859048574572,
      0.385302797121369,
      -0.368634723405382,
      1.07500039470991,
      -1.43117488711558,
      0.446833932487257,
      0.732270566147621,
      -0.515641131532251,
      -0.257962785225431,
      0.0713120874937036,
      0.50916753463101,
      -0.644583574120475,
      0.115848377740867,
      -0.971114658547226,
      0.367684222748252,
      0.899971392516534,
      1.12211453021479,
      -1.47368308113393,
      0.416323190755733,
      -1.08568987613473,
      2.2852089911902,
      -1.29116454197018,
      0.301793494693413,
      -1.48837974059871,
      1.61624664055251,
      -1.32305594750212,
      1.44501095721796,
      -0.921051853590553,
      0.347448101367001,
      0.22580844516788,
      -0.321368050267735,
      -0.293294824797575,
      0.284862987003507,
      0.0131565813042734,
      -0.269277616917058,
      0.0466720104826971,
      -0.702688174052458,
      0.285436700167442,
      1.03151778800125,
      0.675688496751538,
      -1.396090332513,
      1.24801452652233,
      -1.86220788469933,
      1.55046646016273,
      -0.922840394435975,
      0.798468553752846,
      -1.17705848750877,
      1.43320933705342,
      -1.23431662478509,
      -0.904702684206239,
      2.34455694771668,
      -0.2282444091093,
      -0.861278456077278,
      -0.146927010515363,
      -0.397982804499441,
      0.266597996402116,
      0.879061337795821,
      1.58795452868489,
      -2.02863466351417,
      0.259895567599876,
      0.106306763201035,
      -0.521508583105201,
      -1.18670147814702,
      0.544875683059027,
      -0.390810630161021,
      1.26620419668857,
      -0.34671241706821,
      0.507148091464706,
      -0.362057474266359,
      -0.846663597554459,
      0.763576776045826,
      -0.874552772340558,
      0.705563826506169,
      1.04957631293638,
      -0.325184363586278,
      -0.347613564965847,
      -0.788264729534441,
      0.508499373705357,
      0.0373565850454733,
      0.140315716785295,
      1.75356121524153,
      -1.17436837983157,
      0.134593626063694,
      -0.236548978714647,
      -0.29614206446353,
      -0.96291712020826,
      0.280835000992837,
      -0.238604730271126,
      1.05069486594321,
      -1.28520729971005,
      1.6482947489749,
      -1.24537886875427,
      0.0337568301084641,
      0.0390221778306628,
      1.30464295859067,
      -1.47029725076156,
      -0.21681146431092,
      0.726966065571189,
      -0.43042868646352,
      0.196857540648294,
      0.811933993986619,
      -0.243442224608808,
      0.074298359201528,
      0.205428918765131,
      -0.938073192307198,
      0.216135800806896,
      0.536755530232393,
      0.862410456560893,
      -0.935013867039286,
      -1.18060523719829,
      0.352471184705923,
      0.37818514675219,
      0.362590908079719,
      0.490426468036035,
      0.703100207866221,
      -1.26737252256327,
      0.329067742946663,
      0.484162031707935,
      -1.07833581210915,
      -0.353860634681904,
      0.190253395374534,
      -0.532722769192156,
      1.12101588967883,
      0.157183010459168,
      -0.209886540699432,
      0.134843889405737,
      -0.342102069334971,
      -0.418931919553278,
      -0.475935658872561,
      0.530839265671577,
      0.970356004381734,
      -0.160336093889256,
      -1.05708661086168,
      0.018260533098007,
      0.633818015800658,
      -0.417320994853042,
      0.189250808314772,
      0.698428901335786,
      -0.302656429010007,
      0.122402706817629,
      -0.827942519645625,
      0.810370421802581,
      0.765143474172591,
      -1.23820674177709,
      1.29476158019386,
      -1.79474739059291,
      0.597087009787779,
      0.373232807249122,
      0.555420805367748,
      -1.66483414665818,
      1.32543614906116,
      -1.25507458953635,
      1.15529170928861,
      -0.937768540065933,
      1.82117688573751,
      -1.24375606101437,
      -0.0594615246194115,
      0.155566423337718,
      0.294056516523881,
      -1.1844030010222,
      0.947804085716991,
      -0.186307541611609,
      -0.394562786107987,
      0.305489450436544,
      0.115423716578867,
      0.496856830000585,
      -0.262299019425969,
      0.266154031715833,
      -1.39443289604295,
      1.20174328610888,
      0.324390548366798,
      0.138285223909577,
      -1.55525441796042,
      0.993810969150724,
      -1.12123144815475,
      0.773840693158682,
      0.459171531256932,
      0.695432776019958,
      -1.43752311468331,
      0.076881494343178,
      1.89173730931553,
      -0.918343405557612,
      -1.25688602219908,
      0.503592417691189,
      0.402262020197242,
      0.0625106023155576,
      1.18088585479586,
      0.352577812725702,
      -1.64006534770729,
      -0.348779891841877,
      0.55980780858497,
      0.211694938034393,
      -1.09791990961328,
      1.62169054829576,
      -0.564265935291425,
      -1.05222824278498,
      1.54972364671531,
      -0.694076053601799,
      1.43839018526788,
      -0.886293731235633,
      -1.34053641046291,
      1.40549453007992,
      -1.98315311860079,
      1.07751252110603,
      0.0550164711089634,
      2.06103318216711,
      -2.44892382090771,
      0.703547597872165,
      -2.27965805260514,
      0.834549972854418,
      0.165031919801304,
      1.12004806967008,
      -1.5261604808736,
      1.11122650819507,
      -0.802395593309399,
      -0.0560331019035892,
      1.39608411258558,
      0.015289913252079,
      -0.562293329697526,
      0.531958375582071,
      -0.683737980640661,
      -0.352373309757475,
      0.465767444545225,
      0.274735257497425,
      -0.483922744006401,
      0.0425363951234321,
      0.250175158495761,
      0.255816302310866,
      -0.118511281370476,
      -0.174472380316912,
      0.875743948775376,
      -1.22502948663663,
      1.00486462876708,
      -1.29132201658345,
      1.12670552613072,
      -0.0296907316603002,
      -0.336421941157706,
      -0.121910742821449,
      -0.0295493074800298,
      0.20498430567759,
      -0.0737501762583388,
      -0.0999353852482295,
      -0.509130694792267,
      -0.0144190184906581,
      0.904177771320439,
      0.579744345203733,
      -1.36221027299756,
      1.18310988964516,
      -1.35103864897613,
      1.35550106152078,
      -0.508272829317439,
      0.718345502459119,
      -1.78355779327829,
      1.5184760124182,
      -1.08285566979226,
      0.588828479371696,
      -0.767468896758226,
      1.62155637345079,
      -0.814306936730661,
      -0.146426527830502,
      -0.286925034658912,
      0.288898640223714,
      -0.649879029818146,
      0.559468420674819,
      -0.311481130484652,
      -0.320232824166593,
      0.696436373055965,
      0.348395594691619,
      0.422955148818622,
      -0.654510437590692,
      0.546722056055732,
      -1.88715915950701,
      1.92229305610067,
      -1.10152311205951,
      0.490613943155473,
      -0.622991099635729,
      1.16870403967542,
      -1.14233670397975,
      0.123511795816895,
      -0.23726652777456,
      -0.0378789431862518,
      0.575446857104411,
      -0.849387085628907,
      -0.102699352387022,
      0.502967283144235,
      -0.372739369699572,
      -0.0294395446046971,
      0.928762600623062,
      -0.258033053013963,
      -0.154849610964335,
      -0.593800152100135,
      0.148988936104919,
      -0.38915355711027,
      0.517327104724124,
      -0.193410741745764,
      0.171824335022601,
      -0.170434622329211,
      0.0956002322077922,
      0.152933030279521,
      0.234252598157025,
      0.541136929039309,
      0.679954470205946,
      0.235809173356875,
      -0.0486425605311299,
      -0.216824007028441,
      0,
      0,
      0,
      1.4193188090091,
      -0.269348272836396,
      -0.120179900238883,
      0.566813302719751,
      -0.429271792912488,
      0.203734473973018,
      0.368004176062672,
      -0.976945350334948,
      0.553215876085715,
      0.187763094517149,
      -1.54161872740841,
      2.76126207711472,
      -1.16097595483413,
      0.195529384854021,
      0.116830781802246,
      -0.502385976199621,
      0.713456101289609,
      -0.697927573136636,
      1.02676588883625,
      -0.860814635344673,
      -0.0941472336959549,
      0.853219857256688,
      -1.36468620602829,
      0.460349864046884,
      0.327022234356623,
      -1.21929936257573,
      0.738567103791898,
      0.264690256608673,
      -0.167233421011506,
      0.0357755298032564,
      -0.207076702187772,
      0.109401083582678,
      -0.0107194368013828,
      0.396311160717495,
      -0.598892578867334,
      0.0942633632485069,
      1.03513511766738,
      -1.12455572854353,
      0.536923134252325,
      0.266755028065113,
      -1.70886416060512,
      1.60625128231886,
      0.333641389279725,
      -0.576798688728963,
      0.516885158363393,
      -1.028241436252,
      0.969999671645076,
      -0.615287923276985,
      -0.679235155343554,
      0.239907934319902,
      0.562913004870152,
      -0.0715545622792783,
      0.096998715590787,
      0.259727473241417,
      -0.330653298331973,
      -0.151566378093694,
      0.418198340512249,
      -0.864145054193783,
      0.477273630922203,
      0.636822484235964,
      -1.03696378217886,
      0.884759472044645,
      -0.647239896784698,
      -0.263165002301022,
      0.843137395871459,
      0.640369425003965,
      -0.0153645401546357,
      -0.360391989484585,
      0.760395902620987,
      -0.290936855431678,
      -1.02768465656333,
      -0.218154739846888,
      0.228921243704403,
      -0.255118577594788,
      0.219065171592544,
      -0.550019700868226,
      0.579167343369994,
      -0.457415516601659,
      0.160775531195933,
      -0.0616965308941866,
      -0.767650059936022,
      1.37928889794459,
      -0.652571739116316,
      -0.034031792621629,
      0.200281673582272,
      -0.418226814429254,
      -0.523490783840044,
      0.92332106798492,
      -0.254568008177387,
      0.312770385214411,
      -0.911330570579869,
      1.79710522582887,
      -0.222945448083401,
      0.258863921377071,
      -0.739507850666759,
      0.686711829564077,
      0.283017025162879,
      -0.817901015666585,
      -0.117356797162183,
      -0.424404438668499,
      0.0313939215335316,
      0.494501647579713,
      -0.704460803421979,
      -0.767833419677452,
      1.84866340189385,
      -0.956523573977382,
      0.194010344279686,
      -0.0922741888023005,
      -0.44032816071294,
      -1.06402201154688,
      1.12234500117378,
      0.0878576699918103,
      0.300511158017534,
      -0.71924124924657,
      0.0671681143644969,
      0.610680906481638,
      1.18421132557881,
      -0.767751907401851,
      0.141277979317561,
      0.257717830453973,
      -1.37677853466072,
      0.871991148087777,
      0.436344103490771,
      -0.315707282082874,
      0.637340805941687,
      0.0104484899239245,
      -1.49372619686513,
      1.31828705160414,
      -0.264600890071611,
      0.269540445887351,
      -0.437739806970679,
      1.50930833144087,
      -2.04945975769552,
      0.0802826916258212,
      0.166559531366972,
      -0.488110366771203,
      -0.00241637698144133,
      -0.0985293544998141,
      0.693744877285693,
      0.469546772823806,
      -0.35337789887807,
      0.715860824034404,
      -0.0528589250458668,
      -1.78046388874783,
      0.974082829147032,
      0.444817639066305,
      -0.176120489135789,
      -0.0892228829566467,
      -0.00365001069220107,
      -0.274084294960128,
      0.691540813416705,
      -0.101649589545071,
      -0.348862213604113,
      -0.196104994641681,
      1.56152155306759,
      -1.79480458481206,
      0.108554159497795,
      -0.391456242279854,
      0.635732902269224,
      -0.496565444637395,
      -0.255727802628644,
      1.80714160331374,
      -1.77573968758852,
      -0.00672378081979762,
      1.60225981340188,
      -0.220542346059292,
      0.136053877067098,
      -0.424406175836963,
      -0.886517588626458,
      -0.922120741974858,
      1.5701647955493,
      -0.4194459884659,
      -0.5761775314409,
      -1.19643550345537,
      1.90720428300274,
      0.678336198161104,
      0.0652105947011792,
      -0.362438043345245,
      -0.553024604748622,
      0.914383713077257,
      -0.518026101825026,
      0.251361979315946,
      1.45273860774527,
      -1.86840233497668,
      0.702716771679985,
      -1.44136968079488,
      0.10575957472823,
      1.41546403691209,
      0.26620243094445,
      -0.5437442688827,
      -0.240832546101014,
      -0.956776109925319,
      -0.896769137675029,
      1.5214474260724,
      -0.0225572000011431,
      -0.700229527563175,
      -0.306334094912074,
      1.94730240952105,
      -0.495043227437735,
      0.915634829196679,
      -1.03157359140983,
      0.0609908592990843,
      -0.178331342363571,
      0.870444289738522,
      -0.393951151165426,
      1.10560976692012,
      -2.72164286741621,
      1.26945134724163,
      1.19482446535966,
      -0.816199529719395,
      -0.971245256363916,
      0.208157609363614,
      -0.252521733325686,
      0.556188153396541,
      0.539434259104341,
      -2.34064229823088,
      2.42686082659638,
      -0.486658848725606,
      -0.394228986945048,
      1.1606599288022,
      0.0357266733781573,
      -0.785271945051046,
      0.261457588431269,
      -0.136441258236058,
      0.0844596283530748,
      0.257778220612773,
      -1.56325752739612,
      0.830066011608256,
      0.352686100829948,
      -1.1334833433283,
      0.820317075866981,
      1.35774609095036,
      -1.01332782369446,
      -0.594384607981443,
      0.0120675190394505,
      -0.247118912664367,
      0.35064071887165,
      0.322362799249065,
      -0.613483522472437,
      1.22046762217181,
      -0.864212889656516,
      0.267868727445904,
      0.265076789376737,
      0.636035701140851,
      -0.603447819330689,
      -0.0162677749554295,
      -0.385357401137843,
      0.722047907938609,
      -0.304202600410611,
      -0.535979852751233,
      0.0833552458718387,
      0.7543975193494,
      -0.919950503386249,
      0.366855409964651,
      0.630179314212339,
      -0.566673220706302,
      -0.194893673441176,
      1.88959509662831,
      -2.72755676161518,
      0.816758372198203,
      -0.59316573086378,
      0.1930873743304,
      -0.192001504756099,
      -0.068241474348663,
      0.559875627565826,
      0.528039870449311,
      -0.671406797882337,
      0.758051790930466,
      0.13543013853197,
      -1.21812120538675,
      0.553821032490477,
      0.35489210596433,
      -0.914306010366115,
      0.349376180293875,
      -0.0355314068828927,
      -0.0483899568514215,
      0.45312150142143,
      0.555514415703957,
      -0.657331514246403,
      0.4670193280615,
      0.349280259402837,
      -1.97706321989745,
      1.15801051571937,
      -0.461219522942808,
      0.543708939747048,
      -0.679595967862125,
      -0.273102595953637,
      1.02576314064805,
      -0.022833251455737,
      0.271095688041284,
      0.2406242570028,
      0.123936501074387,
      -1.20457662708637,
      0.1326932610148,
      0.884681237487194,
      -1.60908457613192,
      0.184953500901321,
      0.0840048542656273,
      0.414318839459957,
      0.334889880653815,
      -1.16224385515371,
      0.676732038977861,
      -0.828634178564447,
      1.26554022962968,
      1.57486482271819,
      -2.61531584289679,
      0.143678298617726,
      -2.2046170671726,
      2.75288972074633,
      0.995760010756086,
      -1.57658494083901,
      -0.227110080089918,
      2.2934963686482,
      -0.066088431512602,
      -4.37692027022392,
      3.83591590147438,
      -1.41447465010431,
      0.136879931301445,
      2.71692278151833,
      -3.10499045348281,
      0.611763648360878,
      0.0462858870631659,
      1.28337560653981,
      0.282624825894362,
      -1.7832504802275,
      1.33774720134262,
      0.623028758117891,
      -0.482392412857236,
      -0.123154378122757,
      -0.82704171569606,
      0.605817970822419,
      -0.210828972270263,
      0.483822327428658,
      -0.353752025560563,
      -0.0124922163762435,
      -0.0769779687885759,
      -0.544918201605222,
      1.99978344306257,
      -1.42641435037813,
      -0.0890916232523358,
      0.050648320358522,
      -0.723471356901898,
      0.286332482508429,
      -0.530232479851542,
      0.42230958998318,
      1.01508909598594,
      -0.963153963959672,
      0.828536083513154,
      -0.337865592186582,
      -1.2929931934134,
      1.15793918523555,
      0.61468399291736,
      -0.644469156765213,
      -0.0322416734964483,
      -0.0984969788668966,
      -0.418974402430935,
      0.825671812014941,
      0.360918575411573,
      -0.447571079676006,
      0.03460553014549,
      1.31993904046135,
      -2.13520768876913,
      0.33799686243504,
      -0.120609840378336,
      -0.288088334687092,
      -0.0975870801047982,
      -0.377289958268367,
      0.844278001101827,
      0.604779046869245,
      -0.694477240447679,
      1.21007953284576,
      -0.13170463848924,
      -1.02148267850495,
      0.085889529737485,
      0.975760757404127,
      -1.03461214869325,
      -0.468946524630916,
      0.580741770733893,
      -0.0135758943187347,
      0.248888913107911,
      0.432432915818417,
      -0.867224954501038,
      0.422595867773266,
      0.608185211910494,
      -1.55459886045945,
      0.561070120802228,
      -0.414723058255162,
      0.797687944452912,
      -0.560236058798033,
      -1.00775525129058,
      1.80358711172301,
      -2.53451260109036,
      -0.0781290599011333,
      1.65393532382827,
      -1.33204363115724,
      0.224157698199634,
      0.709514482012951,
      -0.903534776535885,
      0.466125650994283,
      -0.27519177102767,
      -0.000291158874049735,
      -1.03853705116439,
      0.410915517113714,
      -0.38348759538429,
      -0.226085232937483,
      0.303004742644711,
      -0.0450288073358257,
      0.651074167630636,
      -1.47022973738434,
      1.02754409387113,
      1.80449619547399,
      -2.31298153895175,
      1.20461345484583,
      0.32879432643999,
      0.221792045459244,
      -0.0459170747266337,
      -0.215403528608335,
      0,
      0,
      8.96989425713637e-33,
      -0.545795741197301,
      0.0919448036909075,
      0.253994358539201,
      -0.481874568842282,
      0.652025994569209,
      -0.593572136464825,
      0.464662294907593,
      -0.135285785626503,
      -0.452062244789402,
      0.257205060288434,
      -0.603514428791779,
      1.81629557233222,
      -1.42654131749437,
      0.0333756325069733,
      0.96232544048194,
      -0.844952970611384,
      -0.289467279921787,
      0.67183195378441,
      0.558756914691378,
      -0.799901610565482,
      -0.0866012027118513,
      0.336929841751895,
      -1.26958604995573,
      0.71223987396063,
      -0.860679176820683,
      0.124220191000354,
      0.39337482079027,
      -0.24665915736258,
      -0.239345767346532,
      0.415990580773375,
      -0.171004526634308,
      -0.692306541840978,
      1.36703550786031,
      -1.32576097821256,
      1.13898349463905,
      0.181093962537119,
      0.416569028834548,
      0.583423760307883,
      -1.54587425269713,
      -0.365658311643307,
      0.36964634710401,
      0.900181914400646,
      -0.642959725493019,
      -0.0820845427412226,
      0.77189028960284,
      -0.912498781074311,
      0.611486462767033,
      -1.70640236900094,
      0.742284387488889,
      0.317465046009826,
      -0.265275732924921,
      0.216958133031728,
      -0.156162173558586,
      0.975415270665826,
      -1.18258305652437,
      0.819364488496506,
      -0.649182490418227,
      0.401044640378377,
      0.146827709901909,
      0.846258835278761,
      -0.0795219256216777,
      -0.750495256627847,
      -0.815618446893726,
      -0.0803350983807781,
      0.77538429678844,
      -0.481270567157446,
      0.515962167820478,
      0.659944807442287,
      -1.10864979044913,
      0.63381538899189,
      -0.714868038425685,
      -0.632605905822503,
      0.590129758339478,
      -0.331236151662811,
      0.880161076989435,
      0.0859987821769908,
      0.527966159821696,
      0.439018382708462,
      -0.864544632431951,
      -0.271908131479975,
      -0.30261838179199,
      0.00152594616064448,
      0.514628778692429,
      -0.260563369694237,
      -0.00338088980350459,
      -0.681074211872053,
      -0.0911529696728245,
      -0.22779624725207,
      1.12649444416269,
      0.760661454990871,
      -0.569535981791481,
      -0.0285005864641932,
      -0.0673353977757671,
      -0.610046583579135,
      -0.360304807385246,
      0.48956255111198,
      0.139702116293998,
      0.0178649428647709,
      0.299009069035979,
      0.471079372108681,
      1.05990155772302,
      -1.36901272700371,
      -0.364252064784689,
      -0.636349115047359,
      0.381112279278225,
      0.855815281259635,
      -0.700024043572046,
      -0.53409695968096,
      0.358939218746574,
      -0.116749898291416,
      -0.862151331845247,
      1.21910423466005,
      0.167807445955523,
      -0.596374718371873,
      1.4216036732595,
      -1.29055997691254,
      -0.113436996504762,
      0.99128967120666,
      -0.403551462831464,
      0.765006253188403,
      0.110249664687832,
      -1.07918088965196,
      -0.17060816963002,
      -0.267225475012602,
      0.799678457050354,
      -0.385118084142432,
      -0.603955474235098,
      0.6303008794105,
      -0.148803641221566,
      0.865005864562231,
      -0.743565261347747,
      -0.270328654362256,
      -0.0414342907008691,
      -0.534381564881073,
      0.382210907387758,
      1.23189689926572,
      -2.2668331657791,
      2.48437057637703,
      -1.82275957491016,
      1.13533991558182,
      0.325961550435715,
      -0.211223969043422,
      0.278852334902193,
      0.736781459427346,
      -1.8609708682715,
      0.284770343893323,
      -0.452536371622889,
      0.187345462005064,
      0.424846670762181,
      -0.333197944383734,
      0.204152544107355,
      0.351231230908922,
      0.524638191037179,
      -0.682704945003926,
      -0.337814018807204,
      0.109752933430651,
      -0.63012905113558,
      0.415877137666568,
      0.966990990107688,
      -1.22042412309291,
      0.954336685369089,
      -0.133604443436064,
      -0.412620629502588,
      0.783851365882647,
      -0.148814435921123,
      -0.915432163132469,
      -0.637325716179082,
      1.24693142618079,
      0.498823502530609,
      -0.329979464266022,
      0.280920204654119,
      0.034016900509978,
      -0.0824205190919002,
      -1.80047444339511,
      1.36107383406316,
      0.260512245600518,
      -0.251115176056787,
      -0.334625823966787,
      -0.0525006987518672,
      -0.00110446142327619,
      0.31084593803471,
      0.0423616069777201,
      0.149913187308762,
      -0.254441802152591,
      0.319515791737881,
      -0.870217524589963,
      0.76730027556768,
      0.101260886597294,
      -1.07539717777251,
      0.484028404055387,
      -0.0155272532336488,
      0.094059102233453,
      0.554015342749614,
      0.066415547166142,
      0.424983857850173,
      -0.589324077796487,
      -1.16616172009615,
      1.11969935062772,
      -0.40365774241346,
      0.153024604757735,
      -0.388423577739136,
      0.216099905341743,
      -0.00348543416874519,
      0.203636054074628,
      0.640004575760387,
      -0.310559149979632,
      0.289166751564949,
      -0.251672411692891,
      -0.361340462935672,
      0.14045755294994,
      -0.193037902248729,
      -0.185964638970702,
      0.332837564440527,
      0.322464687007336,
      -0.481253312911547,
      0.451111837868533,
      -0.580124674807388,
      1.67619875142268,
      -1.59934354865381,
      0.381619731373488,
      0.901462456658983,
      -1.75133248016008,
      0.489348097222617,
      -2.14030255264798,
      2.65100975989722,
      0.0391116217832736,
      1.12687741338684,
      -1.21831044812395,
      0.266375903266793,
      -0.544978767454736,
      -0.0000326307464282516,
      -0.304561960616272,
      0.559488707184132,
      -0.303602560383424,
      -0.448081526905981,
      0.479889242936834,
      0.65705797181918,
      -0.848146682195945,
      0.101583259539987,
      -0.123538512842411,
      1.52957362876414,
      -1.51467128280038,
      1.28505340809851,
      -0.948912789934817,
      -0.0891406900062839,
      -0.408676938518465,
      -1.51683693700785,
      2.58423063832889,
      -0.830687944150365,
      0.838687743325074,
      -0.738047994498167,
      -0.190341709365133,
      -0.00931321981883765,
      -0.534428999820574,
      1.00669467687745,
      0.560229891206159,
      -0.353380559184157,
      -0.538119978105019,
      -0.289935919963806,
      -0.317175302743626,
      0.64014494650639,
      0.785612806347079,
      -1.30021432324928,
      1.4592161028657,
      -0.958911566736267,
      0.659434027952315,
      -0.235235230630464,
      0.749159268088071,
      -0.865669438859913,
      0.117779052798981,
      -1.44811550955798,
      0.429533084175883,
      0.418073632857272,
      -0.459768062281622,
      0.791982792423635,
      0.171795682341063,
      -1.39928010215782,
      1.45737927812805,
      0.0447305231285216,
      0.305541459521247,
      -0.703337246965719,
      0.00465672276099869,
      -0.645922289609597,
      0.825770982405358,
      0.603113766259109,
      -0.883480166736835,
      0.658094785913392,
      0.0925586788643171,
      -0.508262082770729,
      0.267989924934697,
      0.463826197867153,
      -1.16273001875885,
      1.12302375079596,
      -1.87860791803438,
      0.0628727948257254,
      1.19216249173625,
      -1.04258254018219,
      1.88742683233076,
      0.45737805890556,
      -0.324709710876039,
      -0.279027387837909,
      -1.68819775946053,
      1.59702698866401,
      -0.146808816007569,
      -0.620938151621042,
      -1.37871573808207,
      1.34413775106286,
      0.685712394610488,
      -0.29011393193023,
      0.749368979042038,
      0.15841669512133,
      -0.570854961458164,
      0.273837317665633,
      0.0859993530386489,
      0.206273284467157,
      -2.28863280295175,
      1.21647161857609,
      -1.00593926887872,
      0.0811803673136052,
      0.31266895127146,
      0.656694296129503,
      -0.235131488654799,
      -0.719639222145832,
      1.23090025188773,
      -0.558620634774111,
      0.108179421174587,
      -0.435708460341825,
      0.436888386995229,
      0.22668853652725,
      0.59157811466942,
      -0.139087682296961,
      -0.798844051878774,
      -0.0143834317328631,
      -0.0743072769329867,
      0.509633061662348,
      -1.02342944299936,
      1.00770876182823,
      -0.101540196742068,
      0.176074693693249,
      -0.204135813680087,
      -1.12051232889135,
      0.592653790589794,
      0.451938968948918,
      0.707701877405444,
      -1.40411280662759,
      0.834337219519614,
      0.0882528593922283,
      0.37956649001864,
      0.123147129052717,
      0.192871921038949,
      -1.64274098453308,
      -0.0379894225336401,
      0.00247675314205634,
      -0.00897127637833204,
      0.785616583326697,
      -0.345448538410949,
      -0.15961112467641,
      0.216038225582469,
      0.484370095590938,
      -0.186295613631252,
      0.0685186174008281,
      -0.596324273311334,
      -0.535072722280986,
      0.571623274632414,
      0.845488386510023,
      -1.56244557499489,
      1.92893251604985,
      -0.797936770321604,
      0.449917522755293,
      0.319327980393455,
      -0.347526479542985,
      -0.440566647857082,
      0.424751987959028,
      -1.41528576092074,
      0.175870232737814,
      0.573386427732729,
      -0.936847895672554,
      1.5636479057744,
      -0.3641214374114,
      -0.876653027758661,
      0.937525974001833,
      0.366032107162046,
      -0.386887203901357,
      -0.493597115655741,
      0.332078991912721,
      -0.935250881116822,
      0.614110434480635,
      0.966892013511592,
      -1.07718782261253,
      1.47071883275422,
      -0.526630089079928,
      0.352929917828215,
      -0.0485371291922275,
      0.115613627271407,
      0.0412265729945669,
      -0.200941773738937,
      0.378490587462524,
      -0.596780620575623,
      0.112992381842629,
      -0.0282401150134033,
      -0.303559864272106,
      -0.101561500706186,
      0.332069353252425,
      -0.00161527551289416,
      0.14208026726529,
      -0.396982449434114,
      0.280203804074686,
      -0.105359290848127,
      -0.467724236041663,
      0.518972437807472,
      -0.159256212687925,
      -0.35228436215882,
      1.45446941335682,
      -0.145702120420109,
      0.0934134093792164,
      -0.0434434374450184,
      -0.213854578113553,
      2.5604675823875e-32,
      -1.32425749060142e-31
    ],
    "mfcc_delta2_curves": [
      -1.30856496989957e-13,
      1.89954639926158,
      -2.61586811170407,
      -0.398883429597438,
      1.40428348426897,
      -1.21792460708336,
      2.8507961688138,
      -2.6909302911889,
      0.167406065622869,
      1.52021491484756,
      -0.944223682409868,
      1.15039447023041,
      -1.38299346678883,
      -0.951036532087027,
      2.57351396901321,
      -1.43326720115645,
      0.969456141719188,
      -1.55824501800717,
      1.04227223789445,
      -1.15825789129476,
      -0.340425508085456,
      2.53381891892106,
      -3.40540174944529,
      3.3225407272372,
      -0.191908937790416,
      -0.763529821021649,
      -0.191019656740312,
      -1.21508923050704,
      1.20828680577711,
      -2.33912209581943,
      4.08314354261554,
      -2.35825144859812,
      -0.974451651391403,
      -0.0155073190940153,
      1.77137252074405,
      0.605492353236069,
      0.399194720279004,
      -3.71516656335323,
      -1.16282481566052,
      7.75563347487327,
      -3.07785265682363,
      1.01537519869831,
      -5.44923857841544,
      4.77582656893217,
      -1.67579195289571,
      -2.10696364387849,
      1.43948425806565,
      -0.787277925245895,
      0.426195452049981,
      2.64046123001844,
      0.196927758611038,
      0.117427785911847,
      -3.37395078007026,
      1.82598071960688,
      -0.125738796741069,
      -0.533807006286058,
      -0.714818760860291,
      -1.69080785746409,
      3.13433835749959,
      3.3451383126985,
      -2.10202516240624,
      -0.229842905974847,
      -3.36971586718838,
      1.50882551519957,
      3.96750348612306,
      -4.98415124005766,
      2.65698590304213,
      -2.69829617293927,
      1.6717116456902,
      -3.85332255078535,
      4.72377900295058,
      -0.0211781273869265,
      -3.29289962180594,
      4.72103712999501,
      0.183368401920527,
      -0.86464187633275,
      -3.10667893279582,
      -2.28947032249626,
      -1.23929727022309,
      9.07734037088808,
      -3.25842762942524,
      -1.80679358744421,
      0.777275481838692,
      -0.0105131192133921,
      5.07425705207903,
      -6.93214099851271,
      -2.49682686835439,
      1.55354337401842,
      0.768812654388967,
      5.80912433361439,
      -1.20188773347306,
      -5.36911620200927,
      -2.45480471213805,
      6.22774134859399,
      0.987229185271289,
      -0.991015387034147,
      0.856901874496158,
      -0.0275031356561919,
      2.38818565842916,
      0.696303887432164,
      -3.98271333945978,
      -2.99897666661781,
      2.12643772049244,
      -0.615633899784589,
      3.72429326142296,
      -5.65384372906686,
      0.631853844454468,
      2.80584726427571,
      -0.133507172387303,
      0.263177623221457,
      -2.36584762977061,
      -1.15443659749078,
      2.06118976766289,
      2.50604273666494,
      -0.161135085820717,
      -1.28984783218907,
      -2.52406302616291,
      2.98477766533323,
      -1.57870515449501,
      2.03433330742209,
      -3.37364877286583,
      -0.643700839561011,
      7.2533705273467,
      -2.76633060133384,
      0.950970272987032,
      -4.87396214127068,
      1.31398280692699,
      1.91942620145951,
      -0.890441811839472,
      0.113215958653448,
      -0.889701388836256,
      -0.814722879102126,
      2.64573260547894,
      3.11664789948222,
      -2.89873942859191,
      -3.72751279375353,
      2.55350714564532,
      0.53002372820617,
      0.897846408333041,
      -1.75724184136517,
      -1.48159339866624,
      0.366807579144496,
      3.62556436816192,
      -1.40579025208987,
      1.7897842107234,
      -4.83842383468081,
      3.52811777453929,
      -1.29182461862333,
      -0.603095453357354,
      -2.25667927587755,
      1.47980185049338,
      0.861663871661208,
      1.14781489700669,
      -0.372498961890185,
      -0.347853286371498,
      0.641391750952721,
      -0.477858062527707,
      0.436785584048455,
      -1.49737117043369,
      -0.418742558206975,
      -0.924567013885732,
      2.08959927682199,
      0.803179745601725,
      0.612330612024253,
      -0.531991911590547,
      -1.50703033299071,
      3.51095177902448,
      -4.01781797037613,
      -0.512233955168424,
      -0.214898287393519,
      -0.192078333272321,
      0.399863473712823,
      2.434353247663,
      -0.531467669210767,
      -0.934872295581973,
      -0.730189733318468,
      1.55308485878316,
      3.59431798268231,
      -3.63814485709806,
      -0.0807831210544829,
      -3.30414142391261,
      3.77949510463641,
      1.40708637272993,
      -1.06320826955506,
      -0.731875552182477,
      -1.64954779487967,
      3.24727377402243,
      2.13883628120336,
      -5.59487397866855,
      1.63293525183604,
      -3.32184818997838,
      3.69802742671465,
      3.8929015221973,
      -2.69332872757023,
      -4.11688708767113,
      1.12367144512936,
      1.9339131841176,
      -0.0209902545533084,
      -1.97387870241288,
      -1.18445481804369,
      2.8185733579107,
      0.514734569265839,
      3.56846263512838,
      -5.14559817279913,
      3.73856440139021,
      -2.09049949530963,
      -1.26878367801535,
      2.96061628339337,
      -5.91677027129633,
      4.98592637110111,
      -1.38533494508428,
      -0.255216651145663,
      0.00551520617984465,
      -2.03563061146637,
      -0.349653467169874,
      4.26418075185252,
      2.52949953263502,
      -0.237682422677239,
      -4.55588877690405,
      -0.132074405907786,
      -0.976453669250756,
      1.73951547641727,
      0.390939735828853,
      -1.76183265197745,
      1.73824439459648,
      2.78571489135121,
      -1.077632169266,
      0.841700318718688,
      -6.35658725121138,
      0.0244832225795115,
      4.3262551542207,
      -0.726989988682833,
      -1.55846794060179,
      -0.804859400149522,
      2.74160870345025,
      -2.26743381445871,
      3.91570875393018,
      -2.2037003674843,
      -2.10370295458987,
      1.19207176506644,
      1.08224862036912,
      -0.133103166379201,
      0.329475439858714,
      -2.71930668975035,
      0.914718407096635,
      2.72123382073051,
      -1.04413378812653,
      -0.555027190726527,
      -3.00225160542782,
      2.70758499165261,
      3.49378396114036,
      -3.85064581867362,
      1.11066908101359,
      -1.38586836794816,
      1.29158771384666,
      0.927496422503132,
      -0.274498721940281,
      -0.96928115008111,
      0.706638480100834,
      -0.652400727353364,
      -0.0254757594575455,
      -1.31073746145675,
      0.362115648449647,
      -0.794744532050267,
      2.78595442825231,
      2.96796271753772,
      -4.47748032736684,
      0.829684335270451,
      -0.631426322933983,
      2.06398017394129,
      3.74785893562444,
      -8.1469537220316,
      4.33793973617659,
      -4.27730560172371,
      2.49817388088314,
      -1.54852337586308,
      2.65980038207987,
      -1.50493752518695,
      -0.137914233660123,
      0.641930449530051,
      2.27294928306068,
      -4.72852932798635,
      0.188157594244327,
      0.279749716345593,
      0.645884795260446,
      4.34064504624546,
      -3.00631858179575,
      -0.263324374599355,
      0.741412016893228,
      -1.17657420985382,
      2.3351030752994,
      -2.71492712833772,
      0.823354984219073,
      -0.885543963840276,
      1.17084721969566,
      1.00965564088982,
      -1.96882007401286,
      -0.896311726637357,
      -0.221000641385401,
      1.21507445424912,
      3.13380026445485,
      -1.44925250129019,
      -0.693280935056237,
      -1.05065696422322,
      -1.5824663136028,
      5.38143325601118,
      -3.32555895641632,
      -0.00123536294914826,
      -0.737331918117554,
      0.914494034263678,
      0.865211998239125,
      -1.59185229227169,
      1.07177874786739,
      -2.97586008458176,
      8.87545451635522,
      -5.70024701661925,
      2.06073960204459,
      -1.3605695842067,
      -2.06928701727123,
      -1.14315454103448,
      3.01144324361806,
      -3.32398582001189,
      1.08658996962789,
      0.842750627091968,
      -0.994906542652755,
      3.72846635862585,
      -3.19846384229864,
      1.38125244395313,
      1.81604560850547,
      0.176230240808526,
      -0.01512792343959,
      -6.1604358211876,
      2.48484567860188,
      4.18101780790094,
      -3.69661999310569,
      2.02035139214852,
      -1.97054841271303,
      -0.545817832253315,
      1.11422725008223,
      2.50438701710547,
      -2.66174895451454,
      -0.450604582330417,
      0.754919628163912,
      4.28417758304812,
      -2.09752361416463,
      -2.23432722288759,
      -0.928099311130936,
      0.174193167217079,
      3.48635838702912,
      -1.1032359750835,
      1.0529995578881,
      -3.86822332214269,
      2.93362383622328,
      -0.631174468182513,
      -1.06452237617504,
      -2.3893479893766,
      1.58683975800515,
      1.0438639821469,
      0.852405593113572,
      -0.137870492695639,
      -0.808136317360109,
      0.529538073975925,
      -0.583252195805449,
      0.0484826913016887,
      -1.4831521182053,
      0.563235329764298,
      -1.02106744434353,
      3.0167102372356,
      2.72813693337405,
      -4.46858898411305,
      0.55400148368284,
      -0.304500638992089,
      2.63321821248609,
      2.60225578197401,
      -7.37978380285974,
      4.29302402774993,
      -4.26764081348456,
      2.75558635400854,
      -2.05421936826388,
      2.45433210127059,
      -1.41030467390577,
      0.309585981648237,
      0.464556374353324,
      2.3591576323801,
      -5.26957346538095,
      0.836459565970669,
      1.18853552281443,
      1.4421002207234,
      2.49655690074978,
      -2.77137197342768,
      -0.496745630484588,
      0.771944892220409,
      0.210017720737664,
      -2.0131050971508,
      -4.78968517169615,
      6.33367917619529,
      -0.533912176123554,
      -0.631900899475836,
      2.43469391530504,
      -1.30897659270868,
      -0.368056374781336,
      -0.177134821799364,
      -1.44917235664024,
      1.89771450444993,
      -0.925677485322504,
      0.521451513194625,
      -0.0219037743866461,
      0.491399680102373,
      5.85723375985491,
      -5.86107687328484,
      1.16557914998174,
      2.13021505739784,
      -2.42365098342335,
      -1.23715591982417,
      0.120787826139701,
      0.13565228967638,
      -0.00686852857660166,
      0.0143816109849898,
      -1.5069337678619e-13,
      3.77569812780293e-14,
      0,
      0.61191466181485,
      -0.80652489010411,
      -0.344309863285293,
      0.391831160053202,
      0.212417684230646,
      0.523962341809125,
      -0.766018804105505,
      -0.171374460723582,
      0.489325734955695,
      -0.199821286064576,
      0.234488577409766,
      -0.475464400993353,
      -0.111959318488791,
      0.430745022460296,
      0.366808456868492,
      0.0400414557789816,
      -0.605608325099314,
      0.0760112809379032,
      -0.281645963151028,
      0.742814291886564,
      -0.720079744958712,
      0.668974936496403,
      -2.16398110241798,
      1.54009234189313,
      -0.320269112628517,
      0.638784451114604,
      0.955695231754601,
      -1.94637058825817,
      1.9856765187011,
      -1.9916697629788,
      1.07703712279335,
      0.247104341095659,
      0.636992210404261,
      -0.787663602485966,
      -0.0727102594433531,
      0.522072620129855,
      0.28387941492582,
      -0.24557821506914,
      -2.03287510318773,
      0.262390000613022,
      -0.370714869941212,
      1.85680516575792,
      -3.46240372941558,
      2.5898157430911,
      0.134576292900739,
      2.11856079125235,
      -0.721755416151207,
      -0.566909989216888,
      -1.13959127939707,
      -0.668041794486697,
      0.461494542763867,
      0.616069520933254,
      0.450401850694041,
      -0.671765894639325,
      0.15213103694624,
      1.47790495665317,
      0.385004148237448,
      -1.93447599994066,
      -0.473212277614986,
      0.559978756934155,
      -0.234161754086567,
      0.744878085963503,
      -0.417012213302413,
      -1.35712043512918,
      0.992630416210628,
      0.0636526978648462,
      -0.162364177962639,
      0.527889270858687,
      3.03154956834062,
      -3.8223576659308,
      0.537384231268902,
      1.93693669627697,
      -3.0702191173901,
      -0.631470136989706,
      1.77050186581623,
      1.53972246796173,
      0.759993731064127,
      -0.52397589033184,
      -1.56336118060047,
      0.104602398943918,
      0.757811330664631,
      -0.825909326984801,
      -1.14383615869813,
      -0.210276251947332,
      1.52777116584584,
      1.90901192487551,
      0.811946603028414,
      -0.715007772294808,
      -3.07065221289665,
      -0.128018349313288,
      2.34027544270542,
      1.36302286948745,
      -3.27996561922534,
      0.191241374023776,
      0.951122067434334,
      -0.288959165175679,
      -1.63404535265862,
      -0.489901119882991,
      1.52712158380064,
      1.43080789518695,
      -0.658447750227391,
      0.35253196579392,
      -0.60771429499979,
      -1.38734989089742,
      1.64311790926761,
      0.519771206236168,
      -1.03070496547636,
      -0.317570357914064,
      0.575214099588805,
      0.76470218976987,
      1.19985535901732,
      -2.12293568902228,
      -1.67278478548856,
      0.336471486911075,
      1.7749657568848,
      0.416532612099606,
      -0.260376668207745,
      -0.250705900664723,
      0.032508927157991,
      0.901736946348148,
      0.000663700617560503,
      -1.81881797157127,
      -0.776812124023607,
      0.669568269896527,
      1.45207505420313,
      -0.452226460877651,
      -0.325799057691093,
      -0.333144761896627,
      0.794705505088163,
      -0.086260825299975,
      0.339033705373922,
      -1.42354900513246,
      -1.64165802478487,
      3.15914979708456,
      0.500781694654724,
      -0.719900069915877,
      -1.35995131259433,
      0.520403923191369,
      0.45881461473624,
      0.613428759626477,
      -0.541269642413721,
      -1.00214420458284,
      0.0356452641986673,
      -0.29183075120425,
      1.43021227773613,
      -2.16154568201801,
      2.98912521659634,
      -1.39375956103806,
      1.66111058056537,
      -0.422821199958519,
      -1.37966548423995,
      -0.409786837523494,
      0.187182536378434,
      1.1022779769746,
      -0.683943559110051,
      0.0342246127957598,
      -0.0930312854747249,
      0.32058390696271,
      0.831105300124703,
      -0.118665022950079,
      -1.39080121927809,
      3.15651186307757,
      -3.26671585558802,
      -0.371327206080081,
      0.245820890105986,
      -1.34809408514631,
      4.17186160257659,
      -2.47733343479935,
      1.446515776182,
      -1.01251539089237,
      -0.0940035717027164,
      -0.633239084605677,
      0.010700683685887,
      1.81394102578979,
      -0.955359551348594,
      -0.424993629001184,
      -1.13145620627672,
      1.52941739286203,
      1.24144704499039,
      0.168840291567134,
      -3.72950897250077,
      4.17009183572735,
      -1.91235011828956,
      -0.669061184582098,
      1.95468464934315,
      -2.14569633996816,
      -0.727676437068265,
      0.944680671356512,
      0.0989133178981143,
      2.76585729183307,
      -2.87239318551709,
      0.0404586982770622,
      -0.130969252248376,
      1.3059879296482,
      -1.15671868034664,
      -0.719372885374196,
      0.902099123499107,
      0.990858982337126,
      1.23240992030843,
      -1.9450159966532,
      0.703974518824771,
      -0.515954471772781,
      0.958223496891075,
      -4.1866167783468,
      3.98500465445966,
      -0.981131365575613,
      -1.10629309663746,
      1.39757258186064,
      -1.71174186437354,
      2.31198653233831,
      -1.54459285772579,
      1.74554599240921,
      -0.163741271381452,
      0.443358174307263,
      -0.646662689041567,
      -2.73211005774409,
      0.238523433574306,
      2.70746647820809,
      -0.438877915041713,
      -0.296625244163163,
      -1.02518645833349,
      3.33105006188251,
      -0.609826313451504,
      -2.17271255819725,
      -0.314687722808245,
      -0.794479590465492,
      1.21348866695262,
      1.19521136712948,
      -0.144707683774734,
      -1.20728999279347,
      -0.214057650854341,
      2.1690218322665,
      -0.19360590147615,
      -2.45178104694961,
      1.89129428713392,
      -2.55499828190607,
      1.6754610953059,
      1.32516555250634,
      -0.576313494671974,
      1.05108377179608,
      -1.54317262307488,
      0.723149456200681,
      0.326107551560163,
      -1.5377870670498,
      1.80742638670842,
      -2.14000801445665,
      0.937678685390501,
      0.245869720389471,
      -0.0517024246107836,
      -1.84126137730261,
      1.05399045832933,
      0.0297429770022711,
      1.11198375936004,
      -1.10446853237938,
      -0.350692076532047,
      0.242260113111077,
      1.14662347492706,
      -1.03403945375137,
      -0.00415272343184133,
      0.214721526890371,
      0.531017681015136,
      0.463508829710787,
      -0.193244480003838,
      -0.896959198575008,
      -0.686811646295597,
      0.871368553561072,
      0.373183766565216,
      -0.457749520181618,
      -0.99563399323852,
      -0.665538549490529,
      0.715774219599385,
      -0.514006182283166,
      3.11622856311127,
      -1.72719622243295,
      1.16054474622739,
      -1.56520711352456,
      0.29462170998027,
      0.149165194330433,
      -0.401875468716223,
      -0.681735041046955,
      2.13657264595719,
      1.46964864397853,
      -2.07346503470803,
      -0.486284811234054,
      -0.419190302491807,
      0.531004227779593,
      -0.127865991780596,
      0.203931541657068,
      -0.334275678430103,
      -0.304417939281145,
      0.74209899622287,
      -0.091125702085925,
      -0.346609300698095,
      -0.29715114988249,
      0.8801648341928,
      -0.175310772629807,
      0.981253885746642,
      -0.442627553141693,
      -0.661311376663273,
      0.706763660429592,
      -1.05612957691621,
      -0.19953340353644,
      0.705152188053793,
      1.34637695980124,
      -4.50411930179683,
      3.0490670577361,
      0.0763945611707753,
      0.152105879000302,
      0.236437628637487,
      0.606115151264118,
      -1.33739472921464,
      0.0123011539557071,
      1.51200041249816,
      -3.97103345104539,
      2.90729194332537,
      -1.80033593490339,
      1.15095569529488,
      0.62237081824649,
      0.798693285949922,
      0.575669003420295,
      0.355254264704315,
      -1.27331907345763,
      -1.29159669366588,
      1.10002494248875,
      -0.12111209120682,
      0.732365480713549,
      -1.18116918020501,
      0.363000028757288,
      -1.17160386133496,
      0.787151127683827,
      0.834585957501275,
      -0.258318283005116,
      -1.80789324027193,
      1.25803221368361,
      0.137125473119041,
      0.812416959322491,
      0.233775874314969,
      -1.85449853365199,
      -0.580339808775119,
      1.93840102513498,
      0.713125777251624,
      -0.671474341459179,
      -2.38686706902172,
      1.44324935490117,
      0.571654888432631,
      0.458626777445223,
      -0.534403498580603,
      -0.864877469439038,
      -0.0391135332431274,
      -0.0612384436332512,
      1.04765427498114,
      -1.86914130315818,
      2.55658441118533,
      -1.18106742187587,
      1.7191473222996,
      -0.514482720325794,
      -1.24097650775294,
      -0.44580129528501,
      0.249120294654833,
      1.2509032451632,
      -0.819569633783971,
      -0.586985739095341,
      0.616864110739695,
      0.453958720980642,
      0.678894419129805,
      -0.596053525610973,
      -0.650656182108864,
      -0.672334776653942,
      0.829930833478657,
      0.264959308857197,
      -0.283154159884848,
      -1.11929529323864,
      -0.950701866348403,
      1.27759540469804,
      -0.892711811613337,
      3.20901413079527,
      -1.69844732487922,
      1.25644106159203,
      -1.70554812069039,
      0.542037026770934,
      -0.274085236855012,
      -0.206411590699828,
      -0.527986543112868,
      2.2372598689831,
      1.44866101036691,
      -2.0037891943923,
      -0.745508562829527,
      -0.768937932181144,
      0.935783699549456,
      -0.032236501765362,
      -1.3062296531266,
      1.6093146600058,
      -0.505339956828093,
      1.55645725769984,
      -1.79402990622349,
      0.755731846671837,
      0.674890748907561,
      -0.567364657937355,
      -0.462615295393775,
      -0.000485663780089428,
      0.0414882388582796,
      -0.615409819187617,
      0.912890871226103,
      -0.202454124265388,
      -0.420368028006785,
      0.171691870687642,
      0.691068175697825,
      -1.00976380211458,
      0.370214966406426,
      0.279454376671914,
      -1.82250174915512,
      2.40399055475615,
      -0.957466659562524,
      0.0678966620126377,
      0.144275789037625,
      -0.00999754482685476,
      0.0203267880208061,
      0,
      0,
      -2.8024530734161e-30,
      0.0672529936281809,
      -0.284982826425162,
      0.0520897560434349,
      0.354616337758522,
      0.13702120443328,
      -0.371556603818792,
      0.161718029968678,
      -0.0664942110358944,
      -0.00922888038708829,
      -0.0459089469176517,
      -0.496830025520724,
      -0.0154358935938866,
      0.441653015018473,
      -0.100386156682317,
      0.39818880985083,
      -0.156895530140568,
      0.0182354715733727,
      -0.355675561825604,
      0.189632845985998,
      0.565392165910271,
      -1.01002130554934,
      0.699167096854459,
      0.550807932227907,
      -0.962229418976798,
      0.965085702205472,
      -0.543619357311961,
      -0.0702694594896728,
      0.257059913690737,
      -0.20154007048227,
      -0.375093687106145,
      0.130169663753957,
      0.823273659094409,
      -0.363051854477449,
      -0.0982011157827783,
      -0.120467365598182,
      -0.560760306142728,
      0.287423476084285,
      -0.139169739155242,
      -1.50408242316887,
      1.69661822371968,
      -0.474359781800849,
      0.731324512305246,
      -0.0692651181071174,
      0.0952135171898811,
      1.19477117272497,
      -1.21814079012005,
      -0.0884754719742605,
      0.229509994730035,
      -0.602567999680645,
      0.0777448429160909,
      0.00553049476172594,
      -0.418584612045452,
      0.664429463897645,
      -0.0588930387033862,
      0.863824633921257,
      -0.704794892188705,
      0.532580162331871,
      -0.535933489226281,
      -1.18590760557931,
      1.13107807265062,
      -0.859768080113584,
      0.737474929828946,
      0.197415238935386,
      -0.391166008412549,
      0.956189783698723,
      -0.894320307802164,
      0.710249526241611,
      -0.529139046014759,
      1.23469081217217,
      -1.60863194951502,
      0.480082169382198,
      -0.170821095972627,
      -0.913676620952217,
      1.08532643531049,
      -0.497029372338359,
      0.377158160357625,
      0.523028901617397,
      -0.0826679600614053,
      -1.60253319664118,
      0.505563867694187,
      -0.0374380379317725,
      0.419369482296524,
      0.346454989313884,
      -1.03240762599557,
      1.88489604492526,
      -0.0349344925403857,
      -0.614848736597199,
      0.169272657936949,
      -1.1473448372346,
      0.0777061088590796,
      0.833690911309546,
      0.456483628029926,
      -0.608905929738811,
      -0.0734495107450264,
      -0.220098250079223,
      -0.897378406603316,
      1.15851138885161,
      -0.644158723926641,
      -0.30993692175739,
      0.836818940429113,
      -0.156893889312136,
      -0.476566761187831,
      0.764828799117467,
      -0.801061994243666,
      1.85243270247608,
      -0.964771926893511,
      -0.162768038244586,
      0.44155452843068,
      -0.587930033291011,
      0.0577132970797463,
      0.539068800277051,
      -0.377903789883651,
      -0.165879987925528,
      -0.399760209064119,
      0.143232448413244,
      0.680367680817432,
      -0.619125866454081,
      0.192933478371792,
      0.133271360659542,
      0.256706088821579,
      0.52047824081236,
      -1.88118893560287,
      0.942861509141019,
      -0.403417652314461,
      0.873664290026033,
      0.136676084373133,
      -0.663033162656214,
      0.656751401243699,
      -0.309642789046943,
      -0.16291644663001,
      0.0610678055601137,
      -0.293090430721211,
      -0.151874175580858,
      0.065182350079575,
      0.529773818740996,
      -0.404289011323278,
      0.0539047620074556,
      -0.0945584570904138,
      0.402595396839651,
      -0.305988031927697,
      0.178484520010326,
      -0.414899498384337,
      0.48420542780918,
      -0.50361784565829,
      0.291396477111044,
      0.121422306424822,
      0.124961334383619,
      0.339471606246549,
      0.445998641473608,
      -0.966836109540354,
      0.46645972394272,
      -0.193469443884195,
      -0.314534292892472,
      0.0151665668308273,
      0.0393197774039483,
      -0.0515915649557985,
      0.738552389615398,
      -0.566217602736051,
      -0.238555961870057,
      0.814992663393403,
      -0.378476555982008,
      -1.04240757898736,
      0.201646827906555,
      -0.0319264167121758,
      0.843201305618981,
      -0.727389163618028,
      0.706658496432919,
      0.676911564409086,
      -0.874294436488464,
      0.20194309358186,
      0.208559534844087,
      -0.434325931472418,
      -0.0781940638493225,
      0.0447649060487934,
      0.901734745672306,
      -1.16732629490477,
      -0.645876769945827,
      1.03153991901397,
      0.348918197218036,
      -0.0590683805108703,
      -0.433818249580436,
      -1.29466164278283,
      1.08449637446607,
      0.132392996340857,
      -0.112489191312375,
      0.120433931087494,
      -0.571175659784922,
      1.62700159582496,
      -0.672211297397217,
      0.376566285639612,
      -0.306495827504954,
      -0.950565726778905,
      0.273621894699238,
      0.347702276281779,
      -0.374731697787434,
      0.238115361385842,
      0.464374324630092,
      0.53558355695522,
      -0.248612105999254,
      -0.693047330506356,
      0.0114528812106032,
      -0.985017798902864,
      0.997695313697916,
      -0.627737680214764,
      -0.396676672578526,
      1.1724527539083,
      -0.495192475448441,
      1.22872339458721,
      -1.09055083918207,
      0.306103385338538,
      0.82696108491498,
      -0.776193534951708,
      0.416584729434472,
      -0.0480038730483977,
      -0.446657781760909,
      -0.602225956457753,
      -0.165987645028548,
      0.802345987973935,
      0.494103587267964,
      -0.736518944515804,
      0.366265766945191,
      -1.07103725752132,
      1.16145615095788,
      -0.49313731639242,
      -1.20193247723288,
      1.31594892463769,
      -0.37868870301139,
      1.3264031199408,
      0.105909273706194,
      -1.13930851791447,
      0.918817059313105,
      -0.860005918223982,
      0.655750194794882,
      -0.217693714854292,
      0.202202078870261,
      -0.843936846421648,
      0.514569553601515,
      0.171562446050616,
      -0.0413964086259653,
      -0.735853576921547,
      0.548114063435961,
      -0.550036902050883,
      0.325152640464477,
      0.0626333765318492,
      -0.572371606054841,
      0.72708913738322,
      -0.500876844770354,
      0.958598706736879,
      -0.178408007462008,
      -0.754791756939809,
      1.35607989445437,
      -0.103364255531249,
      -0.781911699150705,
      0.22943111701105,
      -0.058411040722557,
      -0.461284133826894,
      0.164989003091018,
      -0.362034696357605,
      0.301645437149556,
      1.08001321608385,
      -0.53206385117416,
      -0.500791673324393,
      0.758803138065713,
      -0.966173965680604,
      -0.892107702238008,
      1.03885966576715,
      0.178971121690178,
      -0.288995626676345,
      -0.347534352190221,
      -0.117922107026155,
      1.31533771034058,
      -0.719158055880173,
      0.911947648269424,
      -0.699996576267676,
      0.214169662522338,
      -0.491758344689759,
      0.505780179129382,
      -0.2937519582558,
      -0.0763487865682516,
      0.00179200802861681,
      0.542855511725728,
      -0.513920095292108,
      0.602718847684003,
      -0.686222923091291,
      -0.539605341000198,
      0.745159936518153,
      -0.176479613668254,
      -0.743647994496224,
      0.87735207961686,
      0.0690877065400527,
      0.217915391356581,
      -0.862548271305172,
      0.198978968715404,
      0.47445744103215,
      -0.509862390498619,
      0.961967693419824,
      -0.430193914642079,
      -0.334962982735631,
      0.432722768150216,
      -0.495993576641712,
      0.205436895000443,
      -0.193523123162098,
      0.183008572263994,
      0.303243123871378,
      -1.0348932858174,
      1.25828027059527,
      -0.813673865277752,
      0.68581792995339,
      -0.149343344352674,
      -0.345459710696132,
      -0.510448610017803,
      0.434599920986925,
      0.513049810877558,
      -0.693064875768403,
      0.680759645550739,
      -0.529601281682282,
      -0.00746503142586551,
      0.162960095716656,
      0.598099794331446,
      -0.803843852760122,
      0.522533257144112,
      -0.132721332241926,
      -0.0929257534350978,
      0.0887667495923465,
      -0.973468575958891,
      1.09605486861543,
      -0.426169860639091,
      -0.839817116459502,
      0.638389510638405,
      -0.0559769040661934,
      1.55967830406271,
      -1.00398721092089,
      -0.264791379959266,
      0.589549547856585,
      -0.836016974307301,
      0.935078072429212,
      -0.135747319970597,
      -0.100642545843741,
      -0.873002965650173,
      0.406686107970127,
      0.895063097578371,
      -0.339057221231406,
      -1.2254810354155,
      0.558914347689777,
      0.408862863388491,
      -0.347851981786445,
      0.261426867271077,
      -0.379479752866398,
      0.197461316036283,
      -0.172906439993248,
      0.135756115867329,
      0.191209320876179,
      -0.103246881341742,
      0.570603270137514,
      0.522483433691834,
      -1.13132060573062,
      0.453537477897233,
      -0.0076891319032265,
      -0.615164471105563,
      0.102530577401491,
      -0.358966379782635,
      0.653882306006107,
      0.758674521280588,
      -0.359872747576042,
      -0.772999440940547,
      0.724167959419408,
      -0.912140948342151,
      -0.447821155588889,
      1.03983231163156,
      -0.0270012752734142,
      -0.27882157145639,
      -0.506137203253281,
      0.0287650058426883,
      1.39902406260916,
      -1.09028571645971,
      1.16899370551438,
      -0.633515413573567,
      0.0483293763446848,
      -0.559104398842886,
      0.83404468153723,
      -0.485920620395658,
      -0.0275832252294647,
      -0.192304961753679,
      0.787783318957027,
      -0.48035518033179,
      0.19452360729198,
      -0.576141349664383,
      -0.677275725661909,
      0.820291357648027,
      0.185054062678661,
      -0.678863903617551,
      0.794333013214153,
      -0.0497152519486817,
      1.19402994321689,
      -1.62674824393307,
      0.658504517434528,
      0.15009368453419,
      -0.494317296449677,
      -0.150063870960216,
      0.251687594184927,
      -0.324424845142475,
      0.212178924106899,
      0.211438803287443,
      0.0178759173359819,
      -0.268761175221421,
      -0.138923110598861,
      0.473726482089726,
      -1.72143072833895,
      1.30684793207257,
      -0.182525346297934,
      -1.11106603690376,
      1.5392856997449,
      -0.180454450126224,
      -0.0404547710800945,
      0.0349109139980672,
      -0.0107837462453186,
      0.020291165655195,
      -3.17616357345533e-30,
      3.74086176917336e-31,
      -1.96983455537633e-30,
      0.154721568631457,
      -0.287875375028357,
      -0.0470094937022829,
      0.602670628935126,
      -0.269656386583565,
      -0.170867653616073,
      0.011455627010777,
      0.00283540880349741,
      0.171196174502629,
      -0.133620775649678,
      -0.406356890279398,
      -0.324854708468617,
      0.638995856194897,
      0.23038661064022,
      -0.205705549249256,
      0.375347003832123,
      -0.384162522683962,
      -0.187977504019947,
      0.200732991071452,
      0.0857245653402315,
      -0.0727005207350123,
      -0.533008800784026,
      0.660096574567184,
      0.196101557457198,
      0.0809985673182545,
      -0.248733769716223,
      -0.394406929996826,
      0.421500687751761,
      0.242775502561403,
      0.0210202548484199,
      -0.0519614097263376,
      -0.582098256161312,
      -0.0455767514660304,
      0.86109332568696,
      -0.731627026726514,
      0.194158844315942,
      -0.990069090481305,
      0.5273221486815,
      0.352066260415345,
      0.755308517630797,
      -0.454784509828789,
      -0.230032349411618,
      0.128538506060867,
      0.169949645160644,
      0.153064448328535,
      -0.684879567487644,
      -0.204904115258459,
      0.173096172861617,
      0.416599111185559,
      0.171057901272326,
      -0.562325991986093,
      -0.0211053665938315,
      0.214783622033736,
      0.256843991823236,
      0.245820206745105,
      -0.60936355193792,
      -0.322241430753322,
      0.397156921638739,
      0.197053456597329,
      0.357328451704551,
      -0.804544192241308,
      0.144626526282751,
      0.176425510243993,
      0.693735747172794,
      -0.540396183348399,
      -0.39375357384466,
      0.0298727109020591,
      -0.536893007768876,
      0.783550055385477,
      0.123352456949695,
      -0.561378924712839,
      -0.155064837614597,
      1.00534185752106,
      0.220420568194668,
      -0.683254402505995,
      -0.811611844141324,
      -0.0333435781525871,
      1.11654693811457,
      0.0133062118451385,
      -0.638569045848826,
      0.531013476559784,
      -0.112926646073178,
      0.354058222891314,
      0.038410425770983,
      -0.398138596052896,
      0.0327769220596603,
      -0.448739643039311,
      0.160038759961641,
      0.452869888229823,
      0.045783994697559,
      -0.890878298875716,
      0.188281865075562,
      0.715683241387154,
      0.0643448904750003,
      -0.151805424319514,
      -0.588687139386192,
      0.760467331013538,
      0.08244610554116,
      -0.558654871931061,
      -0.120898497015404,
      -0.204814163676526,
      0.4998198270913,
      0.297024677089108,
      0.028038299983575,
      -0.443613870552227,
      -0.799555735592827,
      1.01966987240688,
      -0.0489397200173881,
      0.624208812741606,
      -1.31862432276997,
      -0.317322659392583,
      1.00912647013816,
      0.234970464799878,
      0.0185392789872619,
      -0.922622759772649,
      0.0748879960601887,
      0.864674535433524,
      -0.792055697451426,
      0.877955470882183,
      -0.867759099561148,
      -0.256065470664117,
      1.02314981106714,
      -0.352950569240549,
      -0.0303005337631985,
      -0.397584340472052,
      0.204555422646071,
      0.22284318268769,
      -0.0423317781441045,
      0.120540141485747,
      -0.268073425687599,
      -0.195385115550781,
      0.389805648137276,
      1.00721961549651,
      -1.10839392766343,
      -0.442024541114735,
      -0.0261366655396548,
      0.554745843894596,
      0.216074822167385,
      -0.0017468304587626,
      -0.327527312906207,
      -0.242031529267283,
      0.8196209978886,
      0.026501468254114,
      -0.433882567517988,
      -0.143431573187173,
      0.39566398602934,
      -0.523309876115248,
      0.11898013585054,
      0.588681757765932,
      -1.03599504304181,
      0.793692667133924,
      0.0527160265163981,
      -0.531295515003446,
      -0.175049710155827,
      0.0461876987216345,
      0.348377599857841,
      0.114485015667845,
      -0.159412479466364,
      -0.151143539581441,
      -0.106694455390019,
      0.0422772151312455,
      -0.359905462824609,
      0.867561678780549,
      -0.574372934997988,
      0.765240326079907,
      -0.0570051686295788,
      -0.493750746155694,
      0.205487913669219,
      -0.842287072617987,
      0.289687814529063,
      0.400180464485923,
      0.172845198793005,
      0.0776313941681153,
      -0.616504898706888,
      -0.0319102437499179,
      0.924248203158404,
      -0.543869444168992,
      -0.077496799788534,
      -0.387537472185863,
      -0.462518850305246,
      1.37471373179001,
      -0.885456407606611,
      0.0236294985873223,
      0.524083473164355,
      -0.440677913896841,
      0.643851625795444,
      0.598133281252114,
      -0.616825110673154,
      -0.481293603806465,
      0.101199958160578,
      0.0617794636506531,
      0.458312260260592,
      -0.280534677225448,
      -0.946481645668142,
      0.295156008828078,
      1.18944099358733,
      -0.00101428073431694,
      -0.710553178297876,
      -0.613186919886966,
      0.704148599674787,
      -0.087834924414166,
      -0.00817549995088634,
      -0.33527257997514,
      0.300462718458242,
      -0.313628979871086,
      0.917408690889556,
      0.224598004614698,
      -0.809900427137254,
      0.100481130965055,
      0.212605254843666,
      0.352556227284866,
      -0.446624451537945,
      -0.343047503790993,
      -0.0754513472311188,
      0.700846142193706,
      0.259408408073859,
      -0.910991427940412,
      -0.191364679456198,
      -0.031842516163787,
      0.751103370761205,
      0.18826158207474,
      -1.51653920248649,
      0.538954691651015,
      0.444331798395888,
      0.125620979169257,
      0.739340334463657,
      -0.669573954928924,
      -0.0738652949795199,
      0.429940452766469,
      -0.21712306546625,
      0.0127464166930228,
      -0.460762952007866,
      -0.263959426763388,
      0.753394042041011,
      -0.159928646822268,
      0.349043349505185,
      -0.264989914083829,
      -0.49229622329972,
      0.113767933995351,
      -0.288686386277614,
      0.227407040711057,
      -0.270755328184601,
      -0.32945334971641,
      0.459799418994353,
      0.426911555738055,
      0.626331736055043,
      -0.629935776648909,
      -0.241515741202934,
      0.192991749774875,
      0.447764089080772,
      -0.0275048019127187,
      -0.333207969816052,
      -0.714455004732772,
      0.944019574857587,
      0.0929094649505845,
      -0.562184296543608,
      -0.170215732920978,
      -0.253481047400245,
      0.598911881862101,
      0.314653548757965,
      -0.207223562815872,
      -0.520037579515704,
      0.136194728046141,
      0.308031115460177,
      0.19100459633556,
      -0.307193112850443,
      0.0125222892044716,
      -0.168205740002153,
      0.675309315734519,
      0.351223239080913,
      -0.538818500970081,
      -0.118754784036465,
      -0.00871000269761684,
      0.00417045223226153,
      0.503075489723715,
      -0.879533992917251,
      0.45507123322358,
      -0.0874973136079139,
      -0.570192794086983,
      0.504678438210422,
      -0.447892094182857,
      -0.568718805844812,
      0.59249461772743,
      0.258022158673052,
      0.480242077915665,
      -0.512657037288894,
      0.0654331220359258,
      0.0882780953282316,
      -0.347375489077911,
      0.880725187054637,
      -0.618667636278962,
      0.13013349056171,
      -0.446273163345955,
      0.45649846597236,
      -0.425445069146465,
      0.714194816392235,
      -0.632776781899836,
      -0.0394762845877228,
      0.402222947952251,
      -0.23132355703348,
      -0.110617183272446,
      0.0819917937573114,
      0.138985304726347,
      -0.238841015758914,
      0.564023814504436,
      -0.721447702856578,
      0.295346253598062,
      0.22073383795852,
      -0.20021816467298,
      -0.0327004216143223,
      0.101425695469986,
      -0.651517527837641,
      0.48473262521503,
      1.08868088285601,
      -0.496027983723589,
      -0.185439194223583,
      -0.147361345061079,
      -0.0393043225893822,
      0.193681661986037,
      -0.342255097714279,
      -0.6397985362211,
      0.255978885904355,
      0.397644879292397,
      0.273107878444152,
      -0.425499780516481,
      -0.181158716112689,
      0.493363507072385,
      -0.209450225235872,
      0.68687192362152,
      -0.276213473848828,
      -0.112863910577932,
      -0.141699556087482,
      0.527085307008518,
      -0.103987663507535,
      -0.76534982571675,
      -0.0447781636258703,
      0.0153252225465163,
      0.760236281862483,
      -0.00779693579040423,
      -0.39634386975677,
      -0.403645045220087,
      -0.129629439018443,
      0.9403816593437,
      -0.350505959815588,
      -0.116000528561754,
      -0.0915274547809259,
      -0.263992594134844,
      0.852268758708112,
      0.0344337949466497,
      -0.317075786267661,
      -0.21366655055086,
      0.380223654418694,
      -0.525476956355507,
      0.272675728788625,
      0.229861251727311,
      -0.707240725517074,
      0.486020112172483,
      0.517085053487985,
      -0.776221585298327,
      -0.0801506814105209,
      -0.42378826920307,
      0.795704466456288,
      0.155587071111414,
      -0.103380913761163,
      -0.491359095631274,
      0.0858304934326021,
      0.419744415986826,
      0.363607067916877,
      -0.61488757126636,
      -0.0470471244463899,
      -0.0496076087268762,
      0.833702411025117,
      0.144755940367587,
      -0.72061502102582,
      0.157906994556353,
      -0.176908400889386,
      0.0364634654613642,
      0.442883418301911,
      -0.486275722939235,
      0.00148100293727116,
      -0.0364326528250214,
      -0.375079322190609,
      0.338729641137258,
      -0.385526137703663,
      -0.383440846749182,
      0.376797430729665,
      0.381742924544379,
      0.364556885355353,
      -0.35359885217782,
      -0.00141347654692796,
      0.325587239061249,
      -0.166485750169843,
      -0.17690028585941,
      -0.40240479261927,
      0.284186326000593,
      0.283117277822516,
      -0.557714312997636,
      0.433819500832918,
      -0.00588753869274501,
      0.134792615895743,
      -0.313619802836701,
      0.00984097108813576,
      0.236687862078902,
      0.0282056600895891,
      -0.118113156886828,
      -0.173978207138595,
      0.100144401687473,
      0.348528223629499,
      -0.408474368532784,
      0.0872347043260003,
      0.240635233798236,
      -0.102051047915353,
      -0.0322632651317176,
      -0.0194037145031839,
      -0.0618831608974571,
      -0.0119014512348317,
      0.0202318666078144,
      -2.16820863551968e-30,
      -2.83654874157839e-31,
      0,
      -0.0554786577607183,
      0.0669077542031388,
      0.10798297897174,
      0.0621023795212478,
      -0.0241642980190933,
      -0.396751702591404,
      0.243100523754426,
      -0.0260451860122466,
      -0.0734827756125272,
      0.21625829218106,
      -0.465241388994701,
      0.126710817444993,
      0.384878675010482,
      -0.223250177716867,
      0.0770063315078845,
      0.171478213656101,
      -0.248462695868012,
      0.0574809089277239,
      0.0779298397035761,
      0.0184864763206693,
      -0.191472565600912,
      -0.338343893392611,
      -0.103138638169474,
      0.403848813276825,
      -0.116076948970651,
      0.252800418460937,
      -0.230996344371298,
      0.117313411044396,
      0.262175524121913,
      -0.139610261087812,
      0.501530785451344,
      -0.611928711736924,
      0.171775113451357,
      0.242944895714764,
      -0.20044588759715,
      -0.235979445181162,
      -0.248528905297597,
      0.604875428724753,
      -0.228999388808154,
      0.169996037850851,
      -0.346787532538775,
      0.0144525753955543,
      0.154706503838648,
      0.439009490323949,
      -0.491063688646359,
      0.381070087393706,
      -0.515482479242831,
      0.228087866910769,
      0.172816324374759,
      -0.160619789232221,
      -0.332464031408358,
      0.320333727170099,
      -0.104826736078873,
      0.54903467030599,
      -0.276450908344171,
      -0.135543847534154,
      -0.0208343326297177,
      -0.182833337947555,
      0.457569605520816,
      -0.0551414976293586,
      -0.717924657975766,
      0.375108351427396,
      0.051271577473642,
      0.0568305066139723,
      -0.139143065091851,
      -0.319519380065463,
      0.394743960306008,
      -0.0890559031239166,
      0.234676536212437,
      -0.0453450090009231,
      0.0354106545698142,
      0.0497675381752396,
      -0.0289489396842904,
      0.0698610797634441,
      -0.492165663392848,
      0.204924770063284,
      0.257353390793637,
      0.541279257689218,
      -0.657843572258074,
      -0.0537702395069403,
      0.222961030545778,
      0.0863735071928843,
      -0.310887642095783,
      -0.186272370055194,
      0.0592624356009654,
      0.428834299409552,
      -0.666508228320302,
      0.214261670013172,
      -0.372602694166736,
      0.297407498118371,
      0.371591918927449,
      0.174117792927808,
      -0.103353821333367,
      -0.13747403435129,
      -0.055259042933689,
      -0.192486915012071,
      0.270735090676995,
      -0.0317947253656944,
      -0.218923628859092,
      0.171924248566763,
      0.0427514481396447,
      0.402976056644772,
      -0.507911148667615,
      0.0265493073820765,
      -0.112426909290761,
      -0.182030837712902,
      0.11269972192528,
      -0.121625231374634,
      0.313298495149341,
      -0.324339617296147,
      0.373735376461625,
      -0.125577627883273,
      0.541313151620381,
      -0.263697373913151,
      -0.776155653783294,
      0.346442759578327,
      0.780426725371036,
      -0.783200391575995,
      0.301446876882429,
      -0.032315570854046,
      0.248361542932268,
      0.188961831226839,
      -0.731456463255938,
      0.00453669088888452,
      0.126693609369148,
      0.242289773521543,
      -0.334059567620937,
      -0.0095316429873333,
      0.398588750462982,
      -0.31027467590939,
      0.0994897367844673,
      0.205290128487218,
      -0.140823248148127,
      0.159035437274024,
      -0.264171318890603,
      -0.392796399639247,
      0.775861163007719,
      -0.949272495922521,
      0.368001517037557,
      0.370562861179444,
      -0.181419738907488,
      0.596267275346071,
      -0.521358029141738,
      -0.288188226176875,
      0.987890089607004,
      -0.771933029617577,
      0.184697173374222,
      -0.431595164157517,
      0.803192116811853,
      -0.975953069498366,
      0.427898981310675,
      0.533670761645376,
      -0.660417402743276,
      0.118638365900625,
      -0.45198762336523,
      0.514152507079847,
      -0.457103048832171,
      0.596002671987927,
      -0.350718463718743,
      0.38059042105549,
      -0.0698149225272553,
      0.299815821127702,
      -0.479658646843088,
      -0.356813105435853,
      0.479286303451267,
      -0.354960699217224,
      0.484200893879954,
      -0.347342959879948,
      0.0801170523902267,
      0.118099555078553,
      0.0399413267544261,
      -0.24930630123314,
      0.504728692926847,
      -0.286197329963202,
      0.220527662529723,
      -0.22702829822554,
      -0.179500064729362,
      0.0843235152678036,
      -0.360677205669855,
      0.149163912393132,
      0.638078823479685,
      -0.300143756230366,
      -0.104928926603889,
      -0.0451094692202618,
      0.500042691382026,
      -0.531330031580641,
      0.120903433079296,
      0.0602985359030578,
      -0.0600557156022344,
      0.203609241327956,
      -0.366720893461387,
      -0.130321391503468,
      -0.017734244595297,
      0.279838339600064,
      -0.00119625376945361,
      0.47979320708355,
      -0.135336023469781,
      0.0175831661538427,
      -0.372574241073053,
      0.0285296796677698,
      -0.135337611919005,
      0.0645979898704059,
      -0.131013648926348,
      0.121584882529801,
      0.22227109316883,
      -0.105217098222688,
      -0.223588634857103,
      0.416815513508406,
      -0.170640877545074,
      -0.0938954417602348,
      -0.247785720471279,
      0.633609776071333,
      -0.212095618334135,
      0.00783766964108356,
      -0.350807481813313,
      0.15345740769794,
      -0.244568854847102,
      0.0350193788540177,
      -0.302961472522854,
      0.550567036201736,
      0.203505759085301,
      -0.218422104420618,
      0.0273047090300472,
      -0.169180774817326,
      0.637229672995457,
      -0.0479050227857985,
      -0.621485858595635,
      0.172671003978061,
      0.469599221306552,
      -0.464224289521748,
      -0.419128426745167,
      0.552132866867759,
      -0.202466749625666,
      0.013986712857269,
      0.408756952088164,
      -0.318653927375668,
      0.360643628976114,
      -0.0820894536353822,
      -0.0817801265611809,
      -0.0679318420847136,
      -0.230644979987366,
      0.0250108756327981,
      -0.235530417410634,
      0.241702310404182,
      0.765962313347456,
      -0.295511767251879,
      -0.3666405658698,
      0.0846160030224015,
      0.0618011764845961,
      -0.483890885586657,
      -0.0275297478817897,
      0.870276041465619,
      -1.12432298044053,
      0.502682645360211,
      0.521242242135548,
      -0.641384354616738,
      0.291832472969004,
      -0.686542681099808,
      0.497957358870975,
      -0.047693012731495,
      0.585920927652701,
      -0.503602894529202,
      0.0927671166105515,
      -0.157965663550996,
      0.280227711604665,
      -0.428645301613832,
      0.249163113606648,
      0.120677798947182,
      -0.0367053223001296,
      -0.203401549266338,
      0.267402595659456,
      -0.128909867678943,
      0.274051834018981,
      -0.384302242280142,
      0.657762814361087,
      -0.329650648959393,
      -0.268750376811254,
      0.270227929031691,
      -0.5908761652214,
      0.321488267123278,
      -0.468892867560308,
      0.548793876693747,
      -0.249371383058561,
      0.775172562720215,
      -0.172961579965696,
      -0.255262680133697,
      0.193169207654721,
      -0.101174645047802,
      -0.462029653014081,
      0.592251232673624,
      -0.579082877857112,
      0.526387830330962,
      -0.419434923407796,
      -0.153443163772378,
      0.145782820537216,
      0.390125834876511,
      -0.257116543176578,
      0.168743877972502,
      0.0440039671925317,
      -0.295164918808741,
      -0.121670075877456,
      -0.140003560955441,
      0.484504269087838,
      -0.0989481561001115,
      -0.413606991467611,
      0.604594198138874,
      -0.384859787331963,
      0.562875752805559,
      -0.470166520718373,
      -0.221764418590708,
      0.437806019333154,
      -0.283480406197721,
      0.665850416771335,
      -0.486182078515354,
      0.1802364552455,
      -0.170083732134839,
      -0.397068420076455,
      0.333838939573562,
      0.488314819043893,
      0.0336060903090369,
      -0.650119446743741,
      -0.0789168040385656,
      0.495764047880177,
      0.394168895718051,
      -0.65266232401799,
      0.0991840779620881,
      -0.25478062550588,
      0.469966728528818,
      -0.410026080903782,
      0.0341501704291087,
      0.353160195053074,
      -0.345322398404922,
      -0.0958852143912466,
      0.0471359785299017,
      -0.160638198372441,
      -0.0200530640230269,
      0.454552671013922,
      0.0490531050972691,
      0.235887615453254,
      -0.296565284714122,
      0.114839103960942,
      -0.453541066116575,
      -0.217250735448095,
      -0.220208570292946,
      0.581275345640147,
      0.138211857202065,
      -0.239959149524463,
      0.654571412181314,
      -0.524043366979879,
      -0.189529909239687,
      0.737204114639759,
      -0.591742086392946,
      0.152434530889838,
      -0.601935738057852,
      0.869005129597371,
      -0.884008137520886,
      0.538336005635129,
      0.382038522137969,
      -0.46340780142933,
      -0.117318315755929,
      -0.465827923780866,
      0.837337079677619,
      -0.355538280059085,
      0.719880527231612,
      -0.90576844226669,
      0.43819330178748,
      -0.282507997172083,
      0.452377709175055,
      -0.627636531874994,
      0.337430581379437,
      0.297477995941117,
      -0.378815076473525,
      -0.132549470138123,
      0.308350000861815,
      -0.16856374773483,
      0.337901572276142,
      -0.366278842693196,
      0.576416149622581,
      -0.507105997386115,
      0.0472331031485424,
      0.203632353541373,
      -0.468823363175704,
      0.196130489384064,
      -0.206766536601292,
      0.300818921226999,
      -0.254092808226546,
      0.479633068055159,
      -0.113950709784351,
      -0.192378444978879,
      0.160028826912554,
      0.364415931982452,
      -0.338234956624912,
      0.0852714552031909,
      -0.181727522761291,
      -0.0970379578916196,
      0.24706345176098,
      -0.494391473684765,
      0.275001585076842,
      -0.0000308687706172301,
      0.299283554953137,
      -0.321102605212034,
      0.185609661579492,
      -0.138192610542277,
      0.0923291735424066,
      -0.00771582542153655,
      -0.055342813308381,
      -0.0193141887955985,
      0.11440870124489,
      -0.145985325701925,
      -0.102024828841931,
      0.234407308638899,
      0.0527270029546948,
      -0.0664092972754542,
      0.0176937921862216,
      -0.0876833378540797,
      -0.0131415759773065,
      0.0201489980420863,
      0,
      0,
      0,
      0.16470618167619,
      -0.287126577955519,
      0.172086564104836,
      0.0745263036607086,
      -0.00408892209859912,
      -0.22708455672919,
      -0.0542080748613359,
      -0.00213781173247893,
      0.274803368366252,
      -0.314704692483117,
      0.348431782359958,
      -0.512448774628542,
      0.547134219252914,
      -0.103653937075226,
      -0.048790954691571,
      0.378340943964304,
      -0.55423654855954,
      0.149846567303599,
      0.0652998536613291,
      0.0428635699732358,
      -0.00535831767743338,
      -0.582307552332432,
      0.841201811636108,
      -0.530236675931376,
      0.603339563713072,
      -0.612083782203709,
      0.312039388664954,
      0.294123177701199,
      -0.240683568470056,
      -0.00980911111805329,
      0.289803525944252,
      -0.439323521981206,
      -0.0630867653019673,
      -0.0934821224877507,
      0.255294546325489,
      -0.233650406270508,
      -0.0474077127764159,
      -0.0457354453016057,
      0.0601958098332734,
      0.468532093969418,
      -0.432184166606449,
      -0.010409620878661,
      0.448874917277626,
      -0.401915166859839,
      0.42690984904612,
      -0.216459369369527,
      -0.081821799087214,
      0.10855446789173,
      0.0214555361452003,
      -0.415892021681201,
      0.503775827428189,
      -0.466738741399814,
      0.10343875455606,
      0.275909368813568,
      0.305657176996739,
      -0.586917300116726,
      0.0145111272059762,
      0.112373090521081,
      -0.195503980021698,
      0.619156180407347,
      -0.702600801302679,
      -0.162319906404274,
      0.52408699983138,
      -0.269769883454553,
      0.557038337335687,
      -0.50086565675218,
      -0.130974359518765,
      0.540020291217491,
      -0.0338274813083398,
      -0.384728640635372,
      0.312946364728971,
      -0.330945383898332,
      -0.433374554215329,
      0.200643567032449,
      0.400832087121372,
      -0.145019865308798,
      -0.198035816615501,
      0.0573894878958427,
      0.000240960498116013,
      0.282116340761543,
      -0.117226169099751,
      0.00477997947943697,
      0.250022439980273,
      -0.178172602129133,
      0.0525190630784962,
      -0.448289600504013,
      -0.10156810620023,
      0.667646775918025,
      -0.494896925659077,
      0.548153095989023,
      -0.538661778393112,
      0.194428752343264,
      0.302982154105057,
      0.0880283238418539,
      0.264183551904867,
      -1.14702554134104,
      0.378950581733099,
      -0.139861256962772,
      0.463486642842747,
      0.00626442547562721,
      -0.484680315236711,
      -0.0542924493379975,
      0.250103504457467,
      0.251976595875656,
      -0.0771432055216591,
      -0.152969803414241,
      0.0926260478336776,
      0.260326505814285,
      -0.300197904197836,
      -0.126723806279466,
      0.254413451666614,
      -0.26266813294409,
      0.489117729292829,
      -0.184071670467137,
      -0.079529578345793,
      -0.0963518902622787,
      0.0832674489280532,
      -0.0900968063882967,
      0.274820316007189,
      -0.165153553956779,
      -0.278482197989649,
      0.410151217256105,
      0.256527700332676,
      -0.266280166473324,
      0.222529726370097,
      -0.287150892350937,
      -0.158536725804399,
      0.323606213677705,
      -0.229022062976315,
      -0.340374415466989,
      0.132341767389571,
      0.135641357983387,
      -0.024955555599813,
      0.0203136863596628,
      -0.0107244989017917,
      0.176847968548386,
      -0.0953452775329996,
      0.071171131100685,
      -0.305080882611453,
      0.0180855766080547,
      0.0763447048032681,
      0.685251433560565,
      -0.678656852941178,
      0.205724534470917,
      0.033637532401108,
      0.19499068240563,
      -0.294061323003579,
      0.123157888487334,
      -0.308443197407749,
      0.212918268771706,
      0.0257568920967202,
      0.409068302939291,
      -0.439381937872259,
      -0.204555592777474,
      0.446162519439024,
      -0.145862889992148,
      -0.0543141862789574,
      0.0775978711130318,
      -0.206471558924636,
      -0.0292263958316613,
      -0.28910264900196,
      0.0759060308233861,
      0.158406327679012,
      -0.136274711787796,
      0.381798054196403,
      0.343372307509675,
      -0.590452851987431,
      0.378387665885737,
      -0.489091332470433,
      0.435916121953756,
      0.169333945032381,
      -0.299140277907936,
      0.068936088420107,
      -0.00515721021690897,
      -0.0756916702810877,
      0.297126808751223,
      -0.122894207108614,
      -0.0826616947886967,
      -0.204358324349659,
      -0.0769455105215203,
      0.622304637237705,
      -0.642899716464841,
      0.394919284884199,
      -0.28962937984163,
      0.144393995584237,
      -0.210741403343381,
      -0.0911098365732481,
      0.777978395051514,
      -0.422110323999917,
      -0.410341913773788,
      0.503382031220818,
      -0.242981459811401,
      -0.409407910776738,
      0.310735523665915,
      0.0312435320320808,
      0.00680637213642236,
      0.0833222863049887,
      0.187746575981234,
      -0.124001536928021,
      0.0285824152591145,
      0.214828748237527,
      -0.29243627407188,
      0.0915509241483685,
      -0.125748774935635,
      -0.175111782196993,
      0.0184915585714277,
      0.106540626181575,
      0.0626847704743476,
      0.0890239367496451,
      -0.0747222063241303,
      0.138542976177881,
      -0.166653795870608,
      0.0252482190074597,
      -0.205894452362914,
      0.276982512388685,
      -0.182129362711486,
      0.296673298013044,
      -0.640424247211868,
      0.748391707071882,
      -0.384506455134634,
      0.31486293964499,
      -0.261228360178005,
      -0.111840735255025,
      0.358482083794578,
      -0.152854689069209,
      0.366335911636517,
      -0.133783852331454,
      -0.532131434953858,
      0.0233887432884772,
      0.248826484836277,
      0.141832257662165,
      -0.0241784633291307,
      -0.397106139983778,
      0.22926796436351,
      -0.0496662823573614,
      0.0250770016438102,
      0.34205473632612,
      -0.244723881893595,
      -0.186598628698646,
      -0.0897742365353312,
      0.28531675690625,
      -0.0725202387757532,
      -0.358873897131445,
      -0.152988259468831,
      0.154240713838007,
      0.470830182357081,
      0.0551550882763857,
      -0.296815304239738,
      0.352366766995308,
      0.0639370502640488,
      -0.108609040607695,
      0.0860126600704533,
      -0.306433035037154,
      0.075273773766213,
      0.470716670462964,
      -0.560672468843045,
      -0.261580085400133,
      0.328014830752296,
      -0.334925533188558,
      0.457917605460376,
      0.222639068381266,
      -0.589574547479163,
      0.147478787545656,
      0.274866528342583,
      -0.618993634788538,
      0.282631054341546,
      0.00964601128319381,
      0.287930837298507,
      -0.0186464275466275,
      0.267041385741211,
      -0.246088085548011,
      0.0895017591227521,
      -0.613191529232321,
      0.452847932445393,
      -0.123375389602695,
      -0.0494430106416863,
      0.19317356752854,
      0.10997712150755,
      -0.299962437899124,
      0.422992983599964,
      -0.0549725678793564,
      -0.1740229035123,
      -0.277439761492968,
      0.507720386630141,
      -0.515496614539818,
      0.171789105472453,
      0.193914722468487,
      -0.23361492533444,
      -0.168936679487755,
      0.605693128332969,
      -0.580359620570028,
      -0.12739757299937,
      0.330832123062156,
      0.182936532818728,
      -0.133291214388501,
      -0.168035744233692,
      0.347427249289125,
      -0.373320072703805,
      0.218056296102717,
      0.0244288211889299,
      0.0393260425105739,
      0.0300015394234825,
      -0.0316680126514547,
      -0.00541136936328524,
      0.209160238199933,
      -0.402731155224275,
      -0.231333463986385,
      0.158911269790494,
      -0.26057684155816,
      0.500810974736362,
      -0.486683469689063,
      0.659860987284776,
      -0.231523125329778,
      0.371409687024438,
      -0.348402710337415,
      0.236270831463473,
      -0.504577192851175,
      0.256262979347927,
      -0.112563976982419,
      -0.0355609293299424,
      -0.00966616981239981,
      0.228243677442933,
      -0.0545337412332745,
      0.158499315465974,
      -0.0342762756952492,
      -0.455913213410128,
      0.313380648495141,
      -0.056815595513922,
      0.119272466241768,
      0.135853992719211,
      -0.269031382468461,
      -0.0950179929348176,
      -0.132872891539054,
      0.359051409556715,
      -0.342078663197454,
      0.265857668647721,
      0.0962926455593472,
      0.145500076610396,
      -0.21566237093567,
      0.109709045987744,
      -0.512373369305456,
      0.216647644224156,
      0.0587646716822681,
      0.0951020903034037,
      -0.283351033762314,
      0.0372075290330138,
      0.03625578617065,
      0.703479417495166,
      -0.534461305647966,
      -0.0383170445685328,
      0.177971314979358,
      0.0661551229027888,
      -0.129624027871428,
      0.143164007916119,
      -0.327517851911354,
      -0.0511856862670655,
      0.261972514038062,
      0.456258473231313,
      -0.704863250178912,
      -0.0596481641548328,
      0.225794769331842,
      -0.0274135296069451,
      0.194854322453319,
      -0.00564880651569013,
      -0.577817112184064,
      0.396694374621074,
      0.0752038093538037,
      -0.472675664374164,
      -0.0149789456524372,
      0.198726397594769,
      0.269519228814382,
      -0.0580699772316009,
      0.257234147273578,
      -0.0618897524152941,
      -0.0752830233452435,
      -0.279396371992662,
      0.0503889606338216,
      -0.00839659203279311,
      0.146457465213455,
      0.0350289933007687,
      0.0084357692749559,
      -0.0476718093886144,
      0.297977115667157,
      -0.0675163847036046,
      -0.374066222198573,
      0.198343254402236,
      0.187918898044719,
      -0.223238102441027,
      -0.050334581364352,
      -0.00717896407633308,
      -0.168559940207144,
      0.172816677874056,
      0.0519677441895396,
      -0.212979362509387,
      0.290011015654415,
      -0.219655988396921,
      0.223879721788048,
      -0.0287431836759088,
      -0.0480623926697891,
      -0.00369599573877536,
      0.136977942231321,
      -0.182833150742072,
      0.0139574491452933,
      -0.14819591779519,
      0.105335845217472,
      -0.0608038485362577,
      0.21770418494034,
      0.0695000923994713,
      -0.0604240895980721,
      -0.211012878448689,
      -0.0588282073720377,
      0.0680436750333946,
      0.0642075741677901,
      0.0655152915650223,
      -0.0441176848246572,
      -0.0143317741390123,
      0.020042709628229,
      0,
      0,
      0,
      0.00395256938946655,
      -0.0175547800879992,
      -0.04000322277404,
      0.00265719363818994,
      0.160497287451714,
      -0.0358297817687822,
      -0.0644582231630052,
      -0.192776555272464,
      0.282045596803661,
      -0.432825834266809,
      0.859668780112658,
      -0.94529458560899,
      0.569609524185288,
      -0.190322314370124,
      -0.00435312646191521,
      0.627720630744486,
      -0.541102611476071,
      -0.274267218522272,
      0.488851663045459,
      -0.183052928208492,
      -0.0404585320594918,
      0.121464905422787,
      -0.168347971937031,
      0.103649249247724,
      0.461281296927861,
      -0.759460341348134,
      0.325325950170656,
      -0.558752845078987,
      0.728094746140913,
      -0.471290668921041,
      0.328050402769897,
      -0.0426247771685044,
      -0.13991348557697,
      -0.0453396986522203,
      0.116545810127749,
      -0.399527429690989,
      0.632322030463816,
      0.328910850344769,
      -1.81082299243496,
      1.19525245824974,
      -0.343523512461553,
      0.82752362682807,
      -1.46844407073685,
      0.931150712045642,
      0.80473822640271,
      -0.538295074421591,
      -0.00822514416689474,
      0.0569450217793286,
      -0.258234151750283,
      -0.106489943481345,
      -0.118186437330618,
      0.138743837691001,
      0.376444478510044,
      -0.259041132842244,
      0.146074286773168,
      -0.133586015350105,
      0.202282643203346,
      -0.252842952688302,
      -1.01040072856852,
      0.828694784973816,
      -0.0897374591728398,
      0.400480349783541,
      -0.0596294472528259,
      -0.580537477351646,
      1.25189257277147,
      -1.01036558363921,
      -0.320382523030609,
      0.713618870692405,
      0.897914745652252,
      -1.1000018322877,
      0.0278639500926292,
      0.279896217758696,
      -0.47047740225655,
      -0.27486848291174,
      0.597213555669391,
      0.0592169536682271,
      0.0477533075656896,
      0.293704966365018,
      -1.20684037854833,
      0.643169739466692,
      0.3676034008037,
      -0.354748077861144,
      0.109927756835534,
      -0.29268070032707,
      0.907648342776293,
      -0.323118888506997,
      0.43896789993534,
      0.0945083108392537,
      -1.0880572161605,
      -0.0507073095200645,
      0.251066295536318,
      0.514252041176285,
      -0.879085487246615,
      0.479375659301852,
      0.103853583150709,
      -0.127974524942665,
      -0.670616447302071,
      0.304913758336766,
      -0.459216221966645,
      0.692637979155836,
      -0.0167769524125508,
      -0.305763099599568,
      0.416573124924,
      -0.273984389625363,
      1.04169654538243,
      -0.561482826507092,
      -0.167868329939894,
      0.295966542946291,
      -0.188037573318569,
      -0.0401294075749136,
      0.201908970073049,
      -0.0413745838758034,
      -0.713456986402579,
      0.0520318845350649,
      -0.174250055785734,
      0.789029611645684,
      -0.191103892917462,
      -0.0198622030198325,
      -0.0938480924836995,
      0.131782582838118,
      0.0480128735800954,
      -0.905330725339254,
      0.857352793352344,
      -0.056810352070579,
      0.564277924097023,
      -0.823861435170696,
      0.39980038543,
      0.550559705204071,
      -0.407681053112284,
      -0.413119775302451,
      0.253655850742361,
      -0.129276305724259,
      -0.350440849871921,
      0.0396001549359762,
      0.355145641713673,
      -0.0616626846539873,
      0.0175450095220649,
      -0.207308189188684,
      0.0330399168701649,
      0.0923579656140713,
      0.0992152024201676,
      -0.267656164235416,
      0.154339965159602,
      -0.159196259471386,
      0.460050751977146,
      -0.473139686204126,
      0.161588090409694,
      0.568698494268599,
      -0.174634731533175,
      -0.16721472825221,
      0.167382549817522,
      -0.235112405539913,
      -0.154531839662459,
      0.187403053378219,
      -0.0131043270818354,
      0.0496151700427559,
      0.0263863726800943,
      -0.193279126269368,
      0.0124129822273838,
      -0.0574631712904919,
      0.0554745841310448,
      -0.0504265764895655,
      -0.0929091437335345,
      0.0249317899335773,
      0.289119758977857,
      -0.561989614441392,
      1.04977211899118,
      0.00390166095940423,
      -0.539270832201714,
      -0.408031102248138,
      0.682074805139397,
      -0.347161580303592,
      -0.19536140875239,
      0.297013116270954,
      -0.326637998276595,
      0.166490791005188,
      -0.178794821288592,
      0.0612438978495278,
      0.0232678668210686,
      0.321185417267565,
      -0.411506128087175,
      0.120145969624844,
      0.188864076628175,
      0.179422332173243,
      -0.0923092418241463,
      -0.401949581918479,
      -0.417415377346907,
      1.33812034124754,
      -0.823705751402523,
      0.49381807019788,
      -0.18510397783639,
      -0.338554238812203,
      -0.110997004650648,
      0.274071536855831,
      -0.18315622700066,
      0.22315018094264,
      0.0959048927593257,
      0.141116852476393,
      0.136979123664233,
      -0.40626589256875,
      -0.256191516397709,
      -0.524471329572967,
      0.746573543074459,
      -0.814912247637296,
      0.523617721336901,
      0.441123034592908,
      -0.0625582006608247,
      0.505713779399837,
      -0.733726042398701,
      -0.0148777797454174,
      0.729803816480208,
      -0.1915498290034,
      -0.0703466734364471,
      0.152200547074314,
      -0.215767025510847,
      -1.08408388015649,
      0.453277532692211,
      0.0831350535703038,
      0.318017318067887,
      0.102243722467725,
      0.0526726279275659,
      -0.464788205727347,
      0.369868026199095,
      -0.250086079971313,
      -0.769094593573057,
      1.03574562275433,
      -0.280889258501903,
      0.807995438134337,
      -0.212394768097205,
      -0.189852930302574,
      -0.0116353367690063,
      -0.127270959447578,
      0.173913777558376,
      -0.117674493544485,
      0.301456713010902,
      -0.690052133404088,
      0.574585108500648,
      0.315614089073491,
      -0.548452452766926,
      0.0461020349417207,
      0.0157248162218516,
      -0.467354815914299,
      0.563930980202521,
      0.343305893029964,
      -1.5990237558297,
      1.25669166878976,
      -0.39172804116509,
      0.548543456476832,
      -0.528980485686873,
      -0.0855274984339374,
      0.76502317526985,
      -0.323317173023547,
      -0.087084886275181,
      0.174945980179046,
      -0.263212780869691,
      -0.0465201469370252,
      -0.0231571859430811,
      -0.141149704979073,
      0.284608748143877,
      0.104193569596436,
      -0.0258267097032994,
      -0.440680426114765,
      0.165480315367281,
      0.173184748468887,
      -0.914822671359052,
      0.739569177321717,
      -0.0553490665549122,
      0.196567142925104,
      -0.508174236001009,
      0.0506669025771852,
      0.691825940678636,
      -0.448037452534277,
      0.162791174266477,
      0.132732327958549,
      0.478265301781452,
      -0.887968052995254,
      -0.0264384725725943,
      0.512876425010307,
      -0.17886457259813,
      0.0875978029439914,
      0.331784214366278,
      -0.103875895555368,
      -0.238922771403528,
      0.124147088734727,
      -0.860533781836329,
      0.284860456591484,
      0.465489520737489,
      -0.230017427928966,
      0.0117295965445464,
      0.24128068602142,
      0.0637694030005695,
      -0.495386608296195,
      0.227940540959881,
      0.0658201339882169,
      0.236995246738923,
      -0.293713858377811,
      0.2707411270233,
      0.201647071311225,
      -0.41651950528368,
      -0.0201263068969305,
      -0.11111437060292,
      0.228920068316464,
      -0.094005453454927,
      0.199587840820299,
      -0.314206543790975,
      0.0269442276170953,
      0.315227423456117,
      -0.296380712073542,
      0.0189419062029125,
      0.0811424286137456,
      -0.00935839582619451,
      0.0304197178257923,
      0.268241582577713,
      -1.05488485309046,
      0.677586332897837,
      -0.391427418291308,
      0.480037774836311,
      -0.172727407494382,
      0.335955224406786,
      -0.129854645742638,
      0.103326349698478,
      -0.265992917824651,
      0.123730622421377,
      0.167296135054952,
      -0.672722949761546,
      0.598895049950302,
      -0.3587748869344,
      -0.564221187093008,
      0.914891109950361,
      -0.0916303405086192,
      0.602226383834196,
      -0.555662816445434,
      -0.168020983996871,
      0.720104614508905,
      -0.709817112597252,
      0.288855903319034,
      -0.0457808090434778,
      0.0100490571993477,
      -0.22721400040957,
      0.251906697629051,
      0.393515473423218,
      -0.389222930875754,
      -0.640543486722467,
      0.264788911024878,
      -0.0685552684853613,
      0.286861890843347,
      -0.0642834388520249,
      -0.11237862867608,
      0.110957398053833,
      -0.15827383081041,
      0.379277014841612,
      -0.347256311142677,
      0.0817757989589232,
      0.531162704221461,
      -0.259298417967673,
      -0.0981184995992069,
      0.16454170125819,
      -0.157260819954386,
      -0.167109296038393,
      0.136050684071784,
      -0.193530384707134,
      0.3417928974921,
      -0.051865800294016,
      0.0701225200078208,
      -0.397852109303589,
      0.0412624703748466,
      0.200944167259367,
      -0.889136411919438,
      0.72708603902981,
      -0.0382325999817234,
      0.131172336684749,
      -0.368504005044273,
      0.157196095119003,
      0.522285188237147,
      -0.529687595649699,
      0.0993857186714026,
      0.199978642334983,
      0.553165309020703,
      -0.812053969095604,
      -0.128795152069313,
      0.261489864204591,
      0.102021601910674,
      -0.165255140995391,
      0.570078893800917,
      -0.282276505296754,
      0.0460365428573433,
      -0.218724557622007,
      -0.736876655709143,
      0.565401537897398,
      0.1760047881267,
      -0.606381524140672,
      0.511781517978857,
      0.177466091199071,
      0.955704041511679,
      -1.20861346139427,
      0.0219860224454415,
      0.964253950791524,
      -0.758572892117378,
      -0.0876894555616183,
      -0.107814040447474,
      0.257132045427645,
      -0.113542235499137,
      0.0211000074033766,
      0.0362032348935254,
      -0.0607495097582092,
      0.0422384981756168,
      -0.0570745449214504,
      -1.25881943051589,
      1.13115215901151,
      0.142446249295833,
      -1.07815340632221,
      1.01303223645897,
      -0.0240304242626393,
      0.0453445269637193,
      0.0174452427687205,
      -0.0153860929581798,
      0.0199131931858485,
      0,
      0,
      8.13975286008562e-31,
      0.258989058269764,
      -0.26524909094002,
      -0.119958563079993,
      0.0123064878164752,
      -0.0645325221743953,
      0.39949452745184,
      -0.165292287725313,
      -0.164480681703424,
      0.368972130168631,
      -0.373270001259779,
      0.511294590487184,
      -0.465317702030022,
      -0.101969290701732,
      0.282235776380046,
      -0.369568058253462,
      0.586731302840872,
      -0.263851016122129,
      -0.212713374938115,
      0.347330067393555,
      -0.525881311830986,
      0.547876738838208,
      -0.146560587998713,
      0.092798961611662,
      0.0106005450364108,
      0.00380049817310639,
      0.030636704632585,
      -0.739929073501215,
      0.589872903644826,
      -0.852539227431872,
      1.08127146683998,
      -0.393764914106791,
      0.203982863735732,
      -0.3776561492906,
      0.464358109833512,
      -0.273576171076597,
      -0.163052663206073,
      -0.155529278047869,
      -0.179267119486809,
      0.160574352468232,
      0.676329717509469,
      -0.0176497934093139,
      -0.196137707491264,
      0.157276166461884,
      0.318823593043163,
      0.100732429573825,
      -0.600094134097929,
      -0.392127004565057,
      0.14830505717201,
      0.55550263763002,
      0.269861647253775,
      -0.57192230033746,
      -0.206950678796546,
      0.0311997375209753,
      0.37737488931329,
      0.0129901933188419,
      -0.403944299671014,
      0.219233264095144,
      0.0233534917191183,
      -0.201631325352226,
      0.542247454339017,
      -0.539091438748862,
      0.255049886160276,
      -0.115361525467323,
      0.347291411627178,
      -0.0325909074276977,
      -0.536159785172958,
      0.119850310616265,
      -0.0298963867640067,
      -0.0157835652526934,
      0.215379171838246,
      -0.03217185214005,
      -0.152534483320466,
      0.829024160603385,
      -0.244983646273071,
      -0.238570245594433,
      -0.328398138637352,
      -0.291070669757735,
      0.0325861402621893,
      -0.0316492235044212,
      0.507064932404102,
      -0.403596241400596,
      0.455842504096149,
      -0.0338267220003862,
      0.055502049710671,
      0.340102988445683,
      -0.529950828778436,
      -0.564958370651982,
      0.142907899707027,
      0.753951060378107,
      -0.445443939236575,
      -0.467180769496299,
      0.229378142700671,
      0.758140047628992,
      0.0641110519730828,
      -0.327811846740857,
      0.339101982123362,
      0.012409098917754,
      0.012277608736734,
      -0.793411597863104,
      0.20176468480712,
      -0.244534056968275,
      0.175115454044599,
      0.281876372341202,
      0.0877994077305978,
      0.179287313858341,
      -0.862732675776573,
      0.613962609203137,
      0.184494275383481,
      0.0328829820221128,
      -0.713843295633031,
      0.0348706748004203,
      0.591668025685178,
      0.147933027743272,
      -0.455053137912205,
      -0.382369425274386,
      0.405618298904605,
      0.0169603807593424,
      -0.232103220650482,
      0.158907888865294,
      0.098450900552831,
      -0.0421051736671206,
      -0.128273593281444,
      0.316024540154521,
      -0.274933095399553,
      0.488159639883849,
      -0.546395727058698,
      0.598818645939719,
      -0.0563110002076376,
      -0.231000428055822,
      -0.312611054392341,
      0.134833250440265,
      0.0553433980336342,
      0.365329336863478,
      -0.424700931421234,
      -0.0889417630207182,
      -0.120180251925674,
      0.607573227589963,
      -0.45063141384119,
      -0.100446171126524,
      0.0893004664178259,
      0.106690621117817,
      -0.179248559368591,
      0.228595737671409,
      0.290185376181784,
      -0.0242942246359004,
      -0.0389933187106749,
      -0.893295578520473,
      0.821983366406704,
      -0.351945572023317,
      -0.230820208532756,
      0.721820091789396,
      -0.127362232050176,
      -0.303417265991747,
      -0.0629862660049949,
      -0.0828529875830187,
      0.346242721294239,
      -0.056734713415942,
      -0.0607996662306594,
      -0.350315845389117,
      0.349306630656013,
      0.464747239501721,
      -1.21752159576056,
      0.725259743195796,
      0.153841004859864,
      0.128448279458946,
      -0.297937432172569,
      -0.0219061991940474,
      0.321372444322369,
      -0.696236270204445,
      0.1788532292299,
      -0.0151861643525896,
      0.280912606590171,
      0.171737641847986,
      -0.301783791393658,
      0.478661036457202,
      -0.422598047709357,
      0.332634818456437,
      -0.529145964760276,
      -0.0123301037991415,
      -0.0198897626780818,
      0.41662818014709,
      -0.74098196040084,
      0.74126792490815,
      0.0271572413803368,
      -0.596897153168875,
      0.719739836551012,
      0.188185402683711,
      -0.270485914135013,
      -0.194505832617746,
      -0.272694016461439,
      0.496199469214894,
      -0.147165877874624,
      -0.136010322268999,
      -0.760930086266623,
      0.855747488656109,
      0.0370757840555439,
      0.254147750442109,
      -0.154215952270548,
      -0.599951256966838,
      0.626470150297701,
      -0.660920744645683,
      0.115567304614536,
      0.450323045175159,
      -0.00800634175565064,
      -0.447539931304989,
      0.333542514920737,
      0.273052382670731,
      -0.0649029678531811,
      -0.0678375830355233,
      -0.242701351128061,
      0.153749845207831,
      0.272975746956822,
      -0.473607303348107,
      -0.0211693330151674,
      -0.0450127732093304,
      0.291081685074225,
      -0.0621315547695894,
      -0.559684063559294,
      0.661126244468586,
      -0.0990050129734888,
      0.365045077042562,
      -0.815957181323337,
      0.420913275499767,
      0.448391064443268,
      -0.740469643407344,
      0.890280705047946,
      -0.413781946774545,
      -0.0869982030894978,
      -0.0614128070642497,
      0.106023005466796,
      0.285026234331254,
      -0.423801126413623,
      -0.117460192954827,
      0.112496639431187,
      0.228926030882429,
      0.0386003534589477,
      -0.0376415683626138,
      -0.416911387685372,
      -0.0570178817038779,
      0.354509854401558,
      0.0279648412532023,
      -0.620886165467222,
      0.224667382911302,
      -0.0530834799755724,
      -0.107125264483824,
      0.504248635462124,
      -0.111075727949509,
      0.142878506375783,
      0.0387093677614288,
      0.0214446341258744,
      -0.0746483070938713,
      0.248527495343135,
      -0.588068330155487,
      0.415520963294093,
      0.205995989294757,
      -0.471359126871688,
      0.0190941549119849,
      -0.22905735061673,
      0.389850809826659,
      -0.0478707622558903,
      0.240039822325379,
      -0.637193043713394,
      0.494530627735278,
      -0.29463088184978,
      -0.194127297225947,
      0.114384348530874,
      0.259402613103277,
      -0.00707165526768815,
      0.0759424911446443,
      0.177316388915046,
      0.0199959951761606,
      0.0129360193912016,
      -0.653923752324333,
      0.437602366116578,
      -0.0810501062047654,
      0.248151939975196,
      -0.254125700731547,
      -0.0659384100089019,
      0.069395685399332,
      0.0985568526749811,
      -0.294449407225461,
      -0.145145513765779,
      0.205195719740542,
      0.257993464960451,
      -0.291057163961617,
      0.113786686110206,
      -0.0431757196379209,
      0.171644406717639,
      -0.181941312774803,
      0.300307310974201,
      -0.212459677683262,
      0.00674444636181194,
      -0.107821136246647,
      0.0479342077817039,
      -0.0493797025805384,
      0.198946140417384,
      -0.423262119285835,
      0.294805954337841,
      -0.0291857465382815,
      0.29224715461864,
      -0.242110991152422,
      -0.0916379452357836,
      0.272627133941168,
      -0.883114153290008,
      0.764571338209647,
      0.248369355231695,
      -1.21950069796403,
      1.22774927826224,
      -0.386793105280086,
      0.249632900819074,
      -0.0546536799777154,
      0.205100658985168,
      -0.50765242221607,
      0.710240089687751,
      -0.373106116051213,
      0.0882487869208874,
      -0.417303729620036,
      0.204394264634889,
      -0.0728905233245672,
      -0.403829165746739,
      0.255020150728025,
      0.0821824682741452,
      0.458747845919652,
      -0.438707659879735,
      -0.249005915052448,
      0.378606510861063,
      -0.199054048033166,
      0.240439893958248,
      0.345210932891565,
      -0.27611646909743,
      0.302822781275096,
      -0.727465010971872,
      0.569434925977468,
      0.114663926997392,
      -0.533852653454429,
      -0.0431901140286469,
      -0.0521125267653462,
      0.235378402791418,
      0.237908321212369,
      -0.0648261309821749,
      -0.289210797011682,
      0.28737479907562,
      0.245184944194813,
      -0.327094195645891,
      -0.0403023741895757,
      -0.0825015410188033,
      0.162439463232563,
      -0.225126022501112,
      0.157005919303915,
      0.201401426809147,
      -0.0517038050655436,
      0.101116006049078,
      -0.814691420484875,
      0.745171152228941,
      -0.300659612083645,
      -0.14285291141332,
      0.622588783155395,
      -0.30603302135649,
      -0.126439501602988,
      0.00456277842174888,
      -0.639517018502102,
      0.887787615486617,
      -0.132708721244502,
      0.166831025090507,
      -0.533577054068113,
      0.401162004313216,
      -0.217668138589366,
      -0.19567675172017,
      0.184488350483801,
      0.0409725487347502,
      0.0288758495860628,
      -0.00205594980137928,
      0.491603512060631,
      -0.252775503011955,
      0.119106197893694,
      -0.719652956836911,
      0.399502523960789,
      -0.202004993211171,
      0.268422342944905,
      0.00364118210117436,
      0.0803772210089213,
      -0.00279584879992972,
      -0.0756475178300371,
      -0.158279865948834,
      -0.375996086116673,
      0.456818488612259,
      0.0078252179765199,
      -0.228024961079233,
      -0.0518177425410914,
      0.210969287959751,
      0.0488927154851918,
      0.0946834771655235,
      -0.153746196753532,
      0.501519238686753,
      -0.404904094314262,
      0.0526856866956756,
      0.0107494581350121,
      0.0189254731357203,
      -0.105707182179788,
      0.0342402842882893,
      -0.177701268734338,
      0.12842654084607,
      -0.041349557838784,
      0.19217798672794,
      -0.0467668224973857,
      -0.0840195485122836,
      -0.0979094731770123,
      -0.315521185560766,
      0.372980518526257,
      -0.0223978583093236,
      0.128080733224852,
      -0.0915687903501575,
      0.0410752403248719,
      -0.0801741500924555,
      0.0439766916246898,
      -0.016309868643171,
      0.0197606822260696,
      9.9863332192004e-31,
      -7.55618019238999e-31,
      7.14196116932788e-31,
      0.0705062990151249,
      0.0733704588509818,
      -0.213876614516514,
      0.0191936005269825,
      -0.0424134928539094,
      0.10188418303923,
      0.0757457110659776,
      -0.203943161470448,
      0.281601028656468,
      -0.270252427726814,
      0.432722801093774,
      -0.435583225061997,
      0.130801621639942,
      0.102169644071054,
      -0.287672605860636,
      0.594170147980241,
      -0.417402686366808,
      -0.12355624522155,
      0.436695345484812,
      -0.471869712926007,
      0.255569335741713,
      -0.350111991757322,
      0.158910764245582,
      0.00589556641776902,
      0.0177678118557361,
      0.0877191918944639,
      0.0764960396324985,
      -0.0715905397547947,
      -0.106476538514061,
      0.0341477434994203,
      -0.0241146151968518,
      0.0518075061087313,
      0.0559754319643826,
      -0.00832498664773323,
      -0.348634489091508,
      0.237642325190939,
      0.260001204939079,
      -0.140457405440319,
      -0.299020419014048,
      0.264992937436114,
      -0.0980493091747682,
      0.396821458088522,
      -0.376834265583292,
      0.157436902395858,
      0.169432415222974,
      0.000763784031112229,
      -0.187932717542031,
      -0.0789764912304167,
      -0.169062626124698,
      0.157551747468507,
      0.149067446636529,
      -0.185021400203757,
      -0.11567349686024,
      0.249879603932249,
      0.0889391121154254,
      -0.0484183683463299,
      -0.0184701487263955,
      -0.399791630935879,
      -0.293131055894445,
      0.716582924530335,
      -0.461501173202029,
      0.744029645216381,
      -0.503623905714157,
      -0.0148464117904093,
      0.168445578322145,
      -0.307061604540904,
      0.426843448462221,
      -0.400231933036796,
      0.301269055258683,
      0.00332531806209293,
      0.00853138058432936,
      -0.161386481181459,
      0.0623969402970468,
      -0.0522756746412772,
      0.0138118925863154,
      0.183500236505096,
      -0.416987181514538,
      0.535715104923208,
      -0.824523909177355,
      0.683767074237197,
      -0.0168228486610574,
      0.363252219566794,
      -0.385129876029944,
      -0.42510455545763,
      0.694247644014604,
      -0.309797322922169,
      0.157220344604055,
      0.00219603670743868,
      0.243130139120946,
      -0.584170688137155,
      -0.0802956575328863,
      0.403158941485623,
      -0.260280194298865,
      0.482988890403886,
      -0.302659101103003,
      -0.151253268561747,
      -0.041150773281816,
      -0.139471589636819,
      -0.16740755767676,
      0.231959122831136,
      -0.08582189530293,
      0.155391949391201,
      -0.219110418901139,
      0.0578576888079321,
      0.631709063250154,
      -0.376327178705097,
      -0.0886577468578271,
      0.0393059869543566,
      -0.254724990165389,
      0.537260368358295,
      -0.310051447278853,
      0.444848408531224,
      -0.560448217185235,
      0.359178313238316,
      -0.0962856602906944,
      0.177603317309136,
      -0.179516550213236,
      -0.175373235706771,
      0.0544476090419511,
      0.158885092212047,
      -0.194977656999818,
      -0.227188519320692,
      0.300009183603141,
      -0.418755779430073,
      1.02102023843676,
      -0.628918306169782,
      0.0892521098307515,
      0.018945615457521,
      -0.00602173119389427,
      -0.0580681861292665,
      -0.206948203178721,
      0.226265322920572,
      -0.514856684477157,
      0.548362738462397,
      0.130747707889677,
      -0.334371589244344,
      0.170920144680679,
      0.120986140271741,
      -0.277650280272888,
      0.308798863510137,
      -0.367871671993416,
      0.41381472343124,
      -0.288676655558312,
      -0.185635586012122,
      0.603072279390482,
      -0.0697903420200145,
      -0.545342749595984,
      0.344082887269249,
      0.233205994737312,
      -0.133343719196103,
      0.00162576184322035,
      -0.00277673541462117,
      -0.350394725352786,
      0.204183175021619,
      0.329438909952344,
      -0.607173930315581,
      0.0917796906317409,
      0.474286733464551,
      -0.144334024250512,
      -0.125933840085264,
      -0.154743690600754,
      0.124540910837795,
      -0.0970933268660201,
      -0.155322973828983,
      0.627503472276939,
      -0.607496150903446,
      0.327552635421974,
      0.000289851439485419,
      -0.227268042603535,
      0.0950769865779688,
      -0.0708490674065416,
      0.246528224857263,
      -0.213309599896515,
      0.0308169832046687,
      0.225341795949885,
      -0.265256625296189,
      0.163836881834319,
      -0.295618596285316,
      0.256452072926162,
      -0.135372759926182,
      0.0661711965610582,
      -0.318839608166652,
      0.213792673972415,
      -0.215192088323848,
      0.735653234676967,
      -0.708546818288203,
      0.187758620600211,
      0.350981089196243,
      -0.317015932817717,
      0.194409252762119,
      -0.187295927253902,
      -0.0178888985866955,
      -0.128616804302082,
      0.172919272634383,
      0.359653352538565,
      -0.466417478243384,
      0.443750511874555,
      -0.0839739156360959,
      -0.322931885373216,
      0.158990700746605,
      -0.18371166584383,
      -0.293030803222033,
      0.412820091001088,
      -0.589906957611506,
      0.683505125151494,
      -0.226087260514946,
      0.178711984212918,
      0.352812094838395,
      -0.540648349527493,
      0.33674632983324,
      -0.50169353355888,
      0.788691624256072,
      -0.302928287015965,
      -0.15413702705348,
      -0.115682641820532,
      -0.160310287488279,
      0.147183528991196,
      -0.202269799268373,
      0.328238152198168,
      0.196264531284305,
      0.138472355020146,
      -0.604034719917562,
      0.233382011041378,
      -0.0553213258046559,
      -0.203314029386469,
      0.362509353285993,
      -0.134466708254525,
      0.484106283985561,
      -0.315400543820456,
      -0.017836517907367,
      -0.213938036035904,
      0.207024642281399,
      -0.0287105513244282,
      -0.126849153073728,
      0.295568848620586,
      -0.368836979537866,
      0.542820383913455,
      -0.571627007580385,
      0.064097285360451,
      0.254777655968123,
      -0.141829335139203,
      -0.251111137032977,
      0.188830136453297,
      -0.00586397277561704,
      0.122202081016686,
      -0.160121899750107,
      0.0881857351776913,
      0.293822523286493,
      -0.362382011928453,
      0.0672723604685225,
      -0.139682947341085,
      0.306175435489371,
      -0.0101974971325513,
      0.0452516295622401,
      0.0215359468007245,
      -0.351732280200846,
      0.115740168807367,
      0.0722179876306306,
      -0.248121394155404,
      0.150133337444646,
      0.411944378873639,
      -0.211567339755838,
      -0.0455918193182403,
      -0.250538737241058,
      -0.231729790021844,
      0.249535697092815,
      0.0673657861348788,
      0.403105439060185,
      -0.286859409968905,
      -0.1513091980729,
      0.355234373667445,
      -0.243731307193734,
      0.0294197122416433,
      0.135193925053356,
      -0.0579094483625652,
      0.010528441605148,
      0.0681630667785931,
      -0.152570378077765,
      -0.215257919674424,
      -0.0359819433280561,
      0.369857566996767,
      -0.00484170912686041,
      -0.390449648270303,
      0.75846848591443,
      -0.556763209734028,
      -0.0664636062119669,
      -0.295114682870821,
      0.629580359965657,
      -0.443594644630664,
      0.334151878537725,
      -0.0639989491540277,
      0.283904900711108,
      -0.0243508917961795,
      -0.369727990450987,
      -0.16978720973028,
      0.22548758087688,
      0.206279538077665,
      0.165764365319708,
      -0.398322962431524,
      0.155197229870496,
      -0.403147943765191,
      0.241474761089586,
      0.0165641702346281,
      0.177119928640363,
      -0.270501197565855,
      0.319910285722741,
      -0.036185884806222,
      0.262511145419639,
      -0.281452192926227,
      0.0745403061403623,
      -0.598620781265681,
      0.321617229975748,
      0.564090468928252,
      -0.827980719091599,
      0.655894982078805,
      -0.468353545231922,
      -0.0439306977189257,
      0.514595500589189,
      -0.42436481398402,
      0.0814168067421931,
      -0.0935871280332514,
      0.184394358852032,
      0.086353015665258,
      0.0350711910236581,
      -0.459784001934602,
      0.0465185470483429,
      0.184223526001028,
      -0.0503102478439496,
      0.0963866045989732,
      -0.197197292090395,
      0.698102394705936,
      -0.461645835045627,
      -0.205994039561664,
      0.172367182202671,
      0.00984198787730163,
      -0.215795343395595,
      0.149558556628354,
      0.0927788082886648,
      -0.157431140289485,
      0.353241253671647,
      -0.718134735412421,
      0.232173222839386,
      0.0937935237299916,
      0.237099283463887,
      -0.252220679285388,
      0.233514709483825,
      -0.336011663142755,
      0.3817462726015,
      -0.10097583793457,
      -0.222549464330738,
      0.504102678910733,
      -0.0665959551410497,
      -0.610903563488019,
      0.429862265228703,
      0.113826705981945,
      0.0799681141420143,
      -0.155062872231819,
      -0.0102500107245918,
      -0.336495617763636,
      0.325287778465927,
      0.0879445433231173,
      -0.581102655874085,
      0.470930874806045,
      0.356822278212304,
      -0.454780029518667,
      0.208782766235963,
      -0.401156693468318,
      -0.201084300473548,
      0.307985007227936,
      0.102265517511688,
      0.244387457049251,
      -0.299608868301675,
      -0.0875712889932038,
      0.302156376217682,
      -0.0563433988126425,
      -0.17847513936736,
      -0.0262401272727716,
      0.370547588313722,
      -0.0238221589409581,
      -0.113782608463195,
      0.100129048690207,
      -0.50771293526684,
      0.220586087439928,
      0.368712572759182,
      -0.225322274373519,
      -0.33796256963255,
      0.526902259795417,
      -0.417480540050023,
      -0.0102961965546068,
      0.154914012707938,
      0.180891806990263,
      -0.263615811950878,
      0.168845416914966,
      0.67170739581317,
      -0.70791834022653,
      -0.0554024304865203,
      0.0682692937915852,
      -0.267939791451377,
      0.198770677853079,
      0.101375468459932,
      -0.163324153895117,
      0.133323663297942,
      -0.128430280537634,
      0.139138226454714,
      0.00790283470499843,
      -0.0814472428771006,
      0.00652357189125913,
      -0.541974220365249,
      0.54501250028524,
      -0.150396799429386,
      0.0712986942313074,
      0.0921235412579805,
      0.0502142416426275,
      -0.0878330941240701,
      0.0213247954190044,
      -0.0171632998514162,
      0.019585451394443,
      8.50136124229526e-31,
      -4.41293945089489e-31,
      0,
      0.0485502816050848,
      0.0525883446628265,
      -0.0983786777813779,
      0.0120013257535619,
      -0.166567906175199,
      0.188764935373201,
      -0.0331969647758437,
      -0.0415625181216364,
      0.186726108032955,
      -0.203484124255008,
      0.568629258229818,
      -0.6203608068241,
      0.143517271373292,
      0.10720118417646,
      -0.323375726355151,
      0.53774498204859,
      -0.298930404256681,
      -0.0405690566945094,
      0.237381070178157,
      -0.505229507595702,
      0.556579329674391,
      -0.542837213415222,
      0.377857932740783,
      0.00321657303650936,
      -0.0929120802492563,
      -0.235093859791299,
      0.404371746031544,
      -0.191906520723138,
      0.113102249339164,
      -0.208762105357827,
      -0.0210708648094301,
      0.305147121302225,
      -0.0529616917955059,
      0.0164024011078875,
      -0.0557000722360194,
      -0.128936753516136,
      0.08190166060808,
      -0.388476616767063,
      0.515631312437427,
      0.0956043650791391,
      -0.202533637551657,
      -0.133240572392264,
      -0.0359117681352632,
      0.0885375956876753,
      -0.034994350555941,
      0.283791105037467,
      -0.151184225293539,
      0.0891356556180717,
      -0.263764918703949,
      0.0529831265519248,
      0.148938927698253,
      -0.145845926762483,
      -0.196190240194827,
      0.245845218083539,
      0.0746119194918764,
      -0.131841403464694,
      -0.133453233762056,
      0.0920559088964555,
      0.100389381104453,
      0.0557796874543298,
      -0.382561504242048,
      0.464326828423976,
      0.2049934392001,
      -0.348548849389306,
      -0.212988264388133,
      -0.127081849114613,
      0.415526854238834,
      -0.127279599208534,
      -0.0616916862675768,
      0.433197855155777,
      -0.525145523427601,
      -0.276038024070092,
      0.333690260731617,
      0.448242940858647,
      -0.467122416847372,
      -0.0171164473647745,
      -0.282786979674166,
      0.290694238469471,
      0.0668817554174125,
      0.0535312642906255,
      -0.133760615627318,
      0.358667370347794,
      -0.107784396659405,
      -0.223497037255798,
      0.227568861811958,
      -0.186172108020014,
      -0.408524227344835,
      0.165090436807792,
      0.370354119846244,
      -0.0542897186559241,
      -0.311347014577385,
      -0.167896312086142,
      0.570856952817589,
      0.425517117895838,
      -0.624006897298771,
      0.0641909705555664,
      0.0871898856893843,
      -0.134329963430211,
      0.227570661390369,
      -0.352814979361139,
      0.102188009120579,
      -0.00168893055993802,
      0.0883103043674679,
      0.0568244863442148,
      -0.129725758101624,
      -0.27874777113737,
      0.424665172909259,
      -0.0920474238792892,
      -0.219294078110771,
      0.643145969265271,
      -0.586686200401549,
      0.46062540241156,
      -0.121760595237129,
      0.0440087524432301,
      -0.164249024511563,
      0.0109901203362695,
      0.00592829788411145,
      0.13343124481045,
      -0.314834738309268,
      0.258908527930906,
      -0.223952924818423,
      0.396753649580577,
      -0.164381444490984,
      -0.218886026630719,
      0.166210147823165,
      -0.235649345254177,
      0.267684262504858,
      -0.0920435558431151,
      -0.32150510423581,
      0.399174752792065,
      -0.0167225993309947,
      -0.00821304242878251,
      -0.0630304811911185,
      -0.165646180309069,
      0.279418268442704,
      -0.177399609286076,
      0.274795015650291,
      -0.0621529213245877,
      -0.23304069274899,
      0.0198548400242533,
      0.117751454098755,
      0.0987986964640424,
      -0.19384438996065,
      0.190873782977086,
      -0.244817669805498,
      0.257573880518296,
      -0.466232814580633,
      0.239785182950086,
      0.00652526458415029,
      0.250576766896016,
      -0.157630912976273,
      -0.0944879447158765,
      0.113912319458305,
      -0.0814577901482623,
      0.330409090129153,
      -0.237612968115166,
      -0.20109177812193,
      0.0141252285761002,
      0.330868785375916,
      -0.0628812026651669,
      0.155942990040044,
      -0.525172013490482,
      0.170611524442108,
      0.0370491933303901,
      0.363858075883198,
      -0.332379704093298,
      -0.103997368161093,
      0.180025134450771,
      -0.414475622761152,
      0.230265796250942,
      -0.0630384664184361,
      0.683444518580947,
      -0.557896766592785,
      -0.00483228181081019,
      0.22034110596352,
      -0.204327927736338,
      0.180276396755125,
      -0.63219914756927,
      0.506556251672482,
      -0.154469966755049,
      0.375311027418521,
      -0.437988515552575,
      0.1523898017667,
      0.162224246336605,
      -0.15123839381886,
      -0.0255987752812497,
      0.234892769031142,
      -0.0116491186285137,
      -0.115477275384841,
      -0.111974665531889,
      0.105435316206353,
      -0.0793134185404329,
      -0.0662279069908961,
      -0.18700471473242,
      0.518722217030345,
      -0.366992896188273,
      0.449131178346254,
      -0.123361579083369,
      -0.243639852515242,
      0.0794591545763111,
      -0.493333153981215,
      0.295444154476409,
      0.202807591863621,
      -0.125160613375272,
      0.156568244420408,
      0.0361916058093604,
      -0.14972381817564,
      0.120817061920842,
      0.0442885587857418,
      -0.175904257677439,
      0.00668615544821244,
      0.193127604050809,
      -0.232168152813211,
      0.0325946674064758,
      -0.106541444250395,
      0.346589194163868,
      -0.0958132684751991,
      -0.444168124445436,
      0.353734188707757,
      0.0993617949067908,
      0.280074183217188,
      -0.757853794303958,
      0.28575943180463,
      0.430081315695618,
      -0.400460434313595,
      0.101438001576535,
      -0.104071389236333,
      0.30510892063088,
      -0.259665024616105,
      -0.0482663953267826,
      -0.0529931670956644,
      -0.00838511644313061,
      0.115637223388575,
      0.310508642973323,
      -0.11853443804727,
      -0.259959679668874,
      0.233604762688143,
      0.00386143609251686,
      -0.0680468864318487,
      -0.183816565532806,
      0.0398809515053049,
      -0.0710879646519001,
      -0.138293968300887,
      0.810753877431006,
      -0.619213888759064,
      -0.221209529563067,
      0.26815448965813,
      -0.0538673667794469,
      -0.0832577599943605,
      0.135158658049211,
      -0.179304757974163,
      0.660241632093791,
      -0.353814712437074,
      -0.116608528492778,
      0.0676196723897692,
      0.0929280143261482,
      -0.382532264983162,
      0.205445583501663,
      0.0333099694364015,
      0.0859766648682056,
      0.0449320443868269,
      0.288782619596702,
      -0.351824864739502,
      -0.174972417830734,
      -0.0321193203216657,
      0.291732367460789,
      -0.424228649423554,
      0.418495027230805,
      -0.22971300880561,
      0.268643078735128,
      -0.157398589371453,
      -0.0726270321091033,
      -0.124778715477744,
      0.15033910378993,
      -0.0988964124872532,
      0.580548442367892,
      -0.461514471359379,
      0.154706230073436,
      0.0217286878374722,
      -0.394926957056473,
      0.000434566935952854,
      -0.0308734603371877,
      0.182703394563122,
      0.144698160401467,
      0.175959055104841,
      -0.0981966158647467,
      -0.476515673934099,
      0.466168713043645,
      -0.0326045882032979,
      -0.27135827890155,
      0.156349205548646,
      -0.0363501219589415,
      0.106013402977799,
      -0.0796371528811714,
      0.144095417910966,
      -0.336612153700077,
      0.160883221091688,
      0.0530603077069792,
      -0.157010059769884,
      0.282652065365319,
      -0.212159331972279,
      0.0103715609109852,
      0.129129722388348,
      -0.172634569592568,
      0.571156370980659,
      -0.608874330952591,
      0.144180943327749,
      0.174356578200354,
      -0.0826854432190577,
      -0.304585647244092,
      0.230088432468698,
      0.427430544622899,
      -0.419525428939497,
      0.110387799232329,
      -0.0243050179991451,
      -0.244975434483395,
      0.335613987211435,
      -0.308510583801764,
      -0.230005930999817,
      -0.212626584745308,
      0.220265450006646,
      0.369909601478871,
      0.193245183227807,
      -0.0599760586516796,
      -0.142461721248006,
      -0.0210913732653927,
      -0.253473227249229,
      0.292477917224002,
      0.0909234121551808,
      -0.169911259307914,
      0.105639524656655,
      -0.201166475901418,
      0.278896795812898,
      -0.321414305742642,
      0.0847988298445651,
      0.183195054673187,
      -0.18051399336877,
      0.573466068697781,
      -0.402509789576594,
      0.0837961403496206,
      0.413121747459953,
      -0.534368411388567,
      0.179631780533654,
      0.037335529378591,
      -0.379861763701481,
      0.0913851638949573,
      0.0139419774710413,
      0.0886400038350737,
      -0.0660217328185306,
      0.000779350741613753,
      -0.00288845609454126,
      0.151091522937639,
      -0.442447550250763,
      0.243221232646694,
      -0.0858163113587925,
      0.210559902202036,
      0.0322080220069386,
      -0.128901812901551,
      0.138712453007205,
      -0.312846472126569,
      0.320131239373396,
      -0.0732798379129374,
      -0.0432684129299044,
      0.251698411998182,
      0.120941256395744,
      -0.201996301332012,
      -0.359963792878044,
      0.222286038584381,
      0.14963390886867,
      -0.41731030286497,
      0.323456713585048,
      -0.131097926045253,
      0.272037335350255,
      -0.239316603910648,
      -0.117909196490999,
      -0.244914101622352,
      0.212753532205097,
      0.0726629833964777,
      0.422907344211388,
      -0.525825619790596,
      0.145768854672911,
      0.0401216857323136,
      -0.126145180472297,
      0.0408161530534747,
      -0.132410387048901,
      0.0667443215573508,
      -0.0198397318792445,
      0.382486580629083,
      -0.181916556034242,
      -0.138913048790134,
      0.56358110363447,
      -0.420241869067984,
      -0.162254455520147,
      -0.380840641726209,
      0.611266333328316,
      -0.159881640189558,
      -0.210914711644882,
      0.405793202003644,
      -0.161540629136242,
      -0.0548770334382696,
      0.0326065652599226,
      -0.0359499553089498,
      0.0202315792024251,
      -0.0191700826847365,
      0.0635131646915392,
      -0.0286518246213919,
      0.140930462981864,
      0.178758851272485,
      -0.247281097628317,
      0.0322422474245532,
      0.636365201602532,
      -0.56719491988051,
      -0.147452900632411,
      0.0298611330252218,
      -0.0205871125940635,
      -0.0180057928224955,
      0.0193878158161341,
      0,
      0,
      0,
      -0.0530273301793953,
      0.0787688491300032,
      0.210908645023213,
      -0.238157882194738,
      -0.0202877999448532,
      -0.151076265305372,
      0.125569479940007,
      0.0302937256456999,
      0.0856432004189866,
      -0.0827719223058572,
      0.139330223206201,
      -0.217098066871858,
      0.251146448485384,
      -0.0315686441771334,
      -0.269480951534237,
      0.19711858491545,
      -0.0066770310411663,
      -0.0137642853611732,
      0.23693357976987,
      -0.471531177510554,
      0.36282658857534,
      -0.109442033902631,
      -0.290007416219616,
      0.0400888467328794,
      0.176896397861829,
      0.116404591346605,
      -0.0824734918581981,
      0.101695609381752,
      0.240411326960415,
      -0.581601657446604,
      0.453279174296627,
      -0.241633790566652,
      0.189637292760013,
      -0.0299948837950407,
      -0.449021270864438,
      0.12207490327123,
      0.0588407176627459,
      0.157249207578805,
      -0.259695100281633,
      0.0898578155258337,
      0.0458658031470083,
      0.245538584166797,
      -0.510757031645146,
      0.448095125758992,
      0.0398050553856704,
      0.0244181832511348,
      -0.33912710732682,
      0.150613876144612,
      0.216847107255699,
      -0.156203383968581,
      0.113548413118695,
      -0.137207571937598,
      0.0313859288586765,
      0.0613832067920489,
      -0.169235068894693,
      0.117866739433939,
      0.211064425422096,
      -0.386233745047231,
      0.133561754739207,
      0.0660395968509589,
      -0.264782395647739,
      0.161751514419991,
      0.0871278396132584,
      -0.452079865415409,
      0.497481258838479,
      -0.0839408593210117,
      -0.212467191932394,
      0.0556285349827627,
      0.308321609689968,
      -0.0561686085821629,
      -0.329766801150314,
      0.395896149532742,
      -0.456777773394019,
      0.168087344938707,
      -0.0258308045294234,
      0.212056272906669,
      -0.191500491357437,
      0.338798409882522,
      -0.193438081981863,
      -0.352472582207567,
      0.47072760383043,
      -0.0528557155284925,
      -0.000323301934397473,
      -0.695424384622921,
      0.644848232128888,
      0.263251001701932,
      -0.273802500647305,
      -0.103808170627663,
      0.0393054532513051,
      -0.114094182240804,
      0.305630775494417,
      -0.125654686574034,
      0.309498960446933,
      0.00478846661389892,
      -0.214287285997781,
      -0.612623455615432,
      0.225433341141879,
      -0.0118988312126187,
      0.0415993852528375,
      -0.0568816149152252,
      0.478981110995697,
      0.217228905980725,
      -0.348521284656783,
      0.143121061608472,
      -0.182614475584191,
      -0.0439257448557254,
      -0.262954048684799,
      0.0872494777582465,
      0.176672003936672,
      0.125641210880485,
      -0.0639822617784763,
      0.212638709526557,
      -0.197651744218214,
      -0.100570172893602,
      -0.116145644137204,
      0.322721632673863,
      -0.338777096628544,
      0.390938991436147,
      -0.337633299966592,
      0.333963645914794,
      -0.0646468545346919,
      -0.282814844527439,
      0.0061427753647617,
      0.014353287009559,
      0.206499430597718,
      -0.220944633663585,
      0.242812100307999,
      -0.134130667943428,
      0.0714689449430988,
      -0.302662977921405,
      0.608573156216451,
      -0.524696772748904,
      -0.263967185178126,
      0.41700060372825,
      -0.0082369799562294,
      -0.223497464765566,
      0.356380728777387,
      -0.0708232498375906,
      -0.258884079158794,
      0.158548679827406,
      0.380858352651066,
      -0.420513883719656,
      0.1399028086789,
      -0.213252255414375,
      0.378024235444985,
      -0.556886455039207,
      0.31075430918005,
      -0.0972863130611372,
      0.272568198046036,
      0.181467148163556,
      -0.358750511241153,
      -0.257589780388204,
      0.344027377061601,
      -0.00154833238142905,
      -0.338363846299728,
      0.136689499755414,
      0.0192824687716581,
      0.0401965209246664,
      0.357445662750434,
      -0.411009425005903,
      -0.110909957937987,
      0.531268233377768,
      -0.328542872721398,
      -0.0963543821826831,
      0.146990097998416,
      -0.244155059052018,
      0.4867721402505,
      -0.275609004158769,
      -0.0862040873281521,
      0.145057020357034,
      0.119800627504836,
      -0.0147286629204839,
      -0.0986938883827315,
      0.146201681590673,
      0.180349282162574,
      -0.123015828579218,
      -0.212795477316134,
      -0.0628274821336902,
      -0.34844773350352,
      0.463771903395176,
      -0.131060215220582,
      0.331524252266557,
      -0.348155026791061,
      -0.017152166208947,
      0.167415382060656,
      -0.286285294877629,
      0.0656650294929963,
      0.0857935002709242,
      -0.0968883401066425,
      0.507490393640168,
      -0.292666489544009,
      -0.362775084379188,
      0.0399893453093093,
      0.443757789542351,
      0.279855903601647,
      -0.605825573017768,
      0.375946743220239,
      -0.0824020188256714,
      -0.176390824590346,
      0.207668147018993,
      -0.102501248974416,
      -0.256125355685422,
      0.164565611506893,
      -0.213465039855754,
      0.324811372639216,
      -0.205995009898637,
      0.170155318172182,
      0.123646842234977,
      -0.306309892404183,
      0.0857040191268868,
      -0.240533000719701,
      0.429362701305415,
      0.0913229167232876,
      -0.205739867475854,
      -0.154295438625903,
      -0.0600534605843559,
      0.0661175523671754,
      -0.422486278147747,
      0.305002590269683,
      0.0403723481824322,
      0.31522716692415,
      -0.173563029933584,
      0.180458900578066,
      -0.102185196075153,
      -0.110626892946845,
      0.00749460978561702,
      0.121470978485245,
      0.127175344253334,
      0.258721187879511,
      -0.580384170048934,
      0.226599557972337,
      0.165500275984229,
      -0.0745196339170249,
      -0.300119036718156,
      0.634440651140235,
      -0.739151248878882,
      0.153782396042899,
      -0.0207688958127344,
      0.19362754790986,
      0.105971988697582,
      -0.273798522097191,
      -0.167519744993547,
      -0.127158966255808,
      0.455134619852118,
      -0.216788850525516,
      -0.0837718875740281,
      0.373159226547831,
      -0.0980419231095504,
      -0.179435186252988,
      0.0290088875813351,
      0.118612709220896,
      -0.0429684221928875,
      0.1599115609382,
      -0.274593759396745,
      -0.289619332682896,
      0.475812724254097,
      -0.0335079929960809,
      -0.170707507236068,
      -0.0578357613944172,
      0.321127924192855,
      -0.0475689735553444,
      0.0630895482097998,
      -0.256429574066886,
      0.0185615944913984,
      -0.313182995284537,
      0.512263845072999,
      0.108228307742901,
      -0.423533629188498,
      -0.048740204197454,
      0.10969846468845,
      0.225658347676786,
      -0.338615439164961,
      0.318574026829838,
      -0.108936791767663,
      0.243397249335459,
      -0.023232227586361,
      -0.228660278216531,
      -0.0955270745655944,
      0.350533924590262,
      -0.513808673974646,
      0.345227000827719,
      0.079963056331225,
      -0.0488529789231775,
      -0.15248560235,
      0.316646821574016,
      -0.28033042604144,
      0.0252527523438009,
      0.0414994123590983,
      0.49632037810269,
      -0.601364480058215,
      -0.0895304030092936,
      0.121131462996419,
      0.480200027227502,
      -0.476407742659614,
      0.244976371187688,
      -0.279878838806466,
      0.235773400448954,
      0.185871210431362,
      -0.449050198430289,
      0.167878625774609,
      -0.596804867218145,
      0.773300074103354,
      -0.00771910687964716,
      0.306000818383502,
      -0.518456054363062,
      -0.38560140981998,
      0.0943133558591512,
      0.597511228924613,
      -0.360225333788027,
      0.283100461936168,
      -0.0935297570089538,
      -0.657921816463043,
      1.06746791874223,
      -1.08209962306009,
      0.754707945591986,
      -0.432567113913837,
      -0.274640027305275,
      0.809675880091954,
      -0.558236881807641,
      -0.0366325645734482,
      0.0534372212828766,
      0.243136934436202,
      0.00196706867531268,
      0.258079447228629,
      -0.362387672126006,
      0.0573961495029412,
      -0.0123875289894309,
      0.0656136115932415,
      -0.00280884456978546,
      0.109880264543249,
      -0.123787778128106,
      0.0200848332550827,
      -0.132796639821882,
      0.0970943545105069,
      -0.0617351905396986,
      -0.218203794750691,
      0.359708028546635,
      0.0979330012180714,
      -0.277288532427296,
      0.408160933489235,
      -0.650323856977692,
      0.22817878296835,
      0.220874698000178,
      -0.0580979267156313,
      -0.261668233842292,
      0.159699610165633,
      0.453223273733544,
      -0.572247483293613,
      0.153810194610353,
      -0.0563129509506199,
      0.268881775949049,
      -0.50367575527846,
      0.380626637714946,
      -0.108266303571556,
      0.311024698035118,
      0.011302363499201,
      -0.285474675744272,
      -0.225420018663137,
      0.224613460720116,
      0.155212091820382,
      -0.40227193218564,
      0.16623343016409,
      0.199487270982865,
      -0.0236123051505323,
      0.187618844899072,
      -0.399243009990925,
      0.0732838792161317,
      -0.287821625400935,
      0.32887640859477,
      0.180060590391061,
      -0.304706501271082,
      0.0506716438220503,
      -0.0717683543590826,
      0.220388002663464,
      -0.343397817656106,
      0.242996028232813,
      -0.230355750252295,
      0.486688544046834,
      0.119941401544659,
      -0.463669087123535,
      -0.268740640881025,
      0.664777144523063,
      -0.600345292821466,
      0.382537999285914,
      0.171166348338421,
      -0.370093163196352,
      -0.0466634491651783,
      0.253638608026526,
      -0.24906859180803,
      0.125970182712996,
      0.197409033113917,
      -0.196115298796302,
      0.138682293566985,
      -0.13215038770489,
      -0.00477105160039478,
      0.0999245710454925,
      -0.4196420530411,
      0.282940479655981,
      0.0798709710126295,
      -0.0369213233733149,
      0.100484749904733,
      0.130445729991769,
      -0.216871127398393,
      0.0712757132824262,
      0.0773185484451488,
      -0.17775174624722,
      0.142341617408298,
      0.0161569646204211,
      -0.0192516887838068,
      -0.23614360031224,
      0.424445041851984,
      -0.080266478443008,
      -0.218071303823293,
      0.0879572366203507,
      -0.0418218381182701,
      -0.0188490635695428,
      0.0191681303451589,
      0,
      0,
      0,
      0.0290528052324793,
      -0.0558912228433707,
      0.225581105714598,
      -0.0792904479554451,
      -0.139215295293645,
      -0.141312657881903,
      0.0646779839136064,
      0.187094274589367,
      -0.221908833595073,
      0.158585274736632,
      0.634693678595546,
      -0.62589482117576,
      0.131673554310447,
      -0.0109480124044619,
      -0.24825472937801,
      0.205598120689761,
      -0.149197387088434,
      0.0862022004318402,
      0.154727598763846,
      -0.460289645449391,
      0.495854126431045,
      -0.466679635956655,
      0.549078983695708,
      -0.0656886043845583,
      -0.42835707164775,
      0.146357574000091,
      -0.160172757926613,
      -0.0172376157476779,
      0.454608146484188,
      -0.189192597437274,
      0.18436510167138,
      -0.274360645274857,
      -0.0513304649836706,
      0.0900403347871994,
      -0.0216099357492843,
      -0.055767323164716,
      0.0186514678344898,
      -0.150549582781242,
      0.51569008868419,
      -0.755587252672483,
      0.754891486432302,
      -0.386673928710708,
      0.245873391087514,
      0.0415425472797845,
      -0.166635922936448,
      -0.198329087281162,
      0.00444810003982437,
      -0.0101170446226426,
      0.251151465033357,
      -0.121428666412831,
      -0.0304677170105766,
      -0.0974212923308046,
      0.207565794347034,
      0.0764845821450369,
      -0.0437450647570937,
      -0.114009530588276,
      0.05705861203294,
      -0.1552677380017,
      0.187849808068031,
      0.00749726023195196,
      -0.23106755119979,
      0.113476709576764,
      -0.222437290929544,
      0.697262469944645,
      -0.560429020162718,
      -0.0289039669392394,
      0.116894933040934,
      0.185360065124848,
      -0.200863125683648,
      -0.0435414984483844,
      0.362646056156462,
      0.0115126842691958,
      -0.077530075864374,
      0.213711288377287,
      -0.36855602756358,
      0.0177398472494566,
      -0.369608876593356,
      0.285581981990579,
      0.110978504060403,
      -0.244075191058449,
      -0.281778605588852,
      0.735233255686289,
      -0.0796448074988462,
      0.039340579272447,
      -0.42458005924753,
      -0.0463287181025814,
      -0.109205223175558,
      -0.20329004396491,
      0.612501963520203,
      -0.157805242321784,
      -0.316695453288505,
      0.0574578170239084,
      -0.115853059102446,
      0.58943024721537,
      -0.22904686320134,
      0.341451109001092,
      0.0823728235649681,
      0.0750638306196444,
      -0.328514936306574,
      -0.0268577933116298,
      -0.123201948635148,
      0.0917141135403584,
      -0.203054155674689,
      0.406859473280416,
      -0.294351927657408,
      -0.263380038761493,
      0.514646329753562,
      -0.130629766986145,
      -0.0759934504803484,
      -0.0128945472212384,
      -0.136564715019207,
      0.189253398750968,
      0.0827344754965797,
      0.162242094462816,
      -0.272645386660093,
      -0.0100676623071224,
      0.00764160156765325,
      -0.161558137429042,
      0.437800784980566,
      -0.490220296948233,
      0.006045064819604,
      0.361164609033908,
      -0.0735742689408027,
      0.115454809187639,
      -0.467104605576449,
      0.421670767743499,
      0.0175259622922156,
      -0.195504979022395,
      0.232898695953969,
      -0.363448416334192,
      0.128111491243388,
      0.142488682328452,
      0.0696986643611635,
      -0.134484951207064,
      -0.180634997192837,
      0.421857171117779,
      -0.16658065811446,
      -0.0522617574029436,
      -0.0167184233450106,
      -0.169182114733198,
      -0.0691869308048394,
      0.434527414484894,
      -0.137562064083249,
      -0.0527434829648034,
      -0.193011389729486,
      0.0572152079458424,
      0.0972381526346162,
      -0.229179431909892,
      0.080755358021269,
      0.396962896984744,
      -0.375188897512842,
      0.17938424915722,
      -0.209171947631068,
      0.21107259948586,
      -0.145889928256949,
      -0.104995069476617,
      0.142917071799368,
      -0.0304795334867552,
      0.00197064971753545,
      -0.00304513935508756,
      0.467748522310779,
      -0.709211278149055,
      0.348703162918863,
      -0.137437490945034,
      0.294850738414779,
      -0.20960979196784,
      -0.222431123549026,
      0.172770070206801,
      -0.277979094714925,
      0.0533110864498654,
      0.382256440024099,
      0.102730066469957,
      -0.237729825530712,
      0.113040679308551,
      0.032704989955672,
      -0.288853161081387,
      0.409352978081197,
      -0.106650566096836,
      0.0557077803288831,
      -0.533553680197316,
      0.91182883100189,
      -0.374254785687991,
      0.065807175419433,
      -0.0092743779187851,
      -0.216841642735282,
      -0.018748409251481,
      0.264916292255861,
      -0.425295348947221,
      0.273481722107889,
      -0.316187494034182,
      0.0428906197457529,
      0.274363998216469,
      -0.134422273595376,
      -0.0739668648711292,
      0.0952951859414895,
      0.0918410146313313,
      0.353811306724697,
      -0.269178729697107,
      -0.196442391877981,
      0.259511859120641,
      -0.309099606557769,
      0.34601623857885,
      -0.4055497842389,
      0.525832920620626,
      -0.328766924976858,
      -0.20598587027229,
      0.522067891062816,
      -0.627687922296771,
      0.267414466353868,
      -0.223436085009634,
      0.131319455533849,
      0.0608876220555415,
      0.0166595948488103,
      -0.111722665422178,
      -0.0384649503710436,
      0.524923862218329,
      -0.0732268398770713,
      -0.579942473313593,
      0.371058866420395,
      -0.303918232044731,
      0.253753888913046,
      -0.0944272332361097,
      0.00881557827084948,
      -0.215246584480599,
      0.324542581700259,
      0.122106074237585,
      0.00982023140400665,
      -0.242809647944953,
      -0.127822997226428,
      0.346579898503887,
      -0.0767441123413668,
      -0.35629234139556,
      -0.0635461926981524,
      0.490348028283806,
      -0.309127049840499,
      0.179061196792968,
      0.0839488450873693,
      -0.390744178536193,
      0.523999206589679,
      -0.260700367309126,
      0.093598144410908,
      -0.119173142994443,
      -0.0512208352130473,
      0.00160810017031032,
      0.191823191563497,
      -0.268350174453445,
      -0.20471381774326,
      0.333038546865944,
      0.00979972060966394,
      0.490726293816785,
      -0.652461245254069,
      0.430547574724715,
      -0.158136392444183,
      -0.164987853999756,
      0.168196223826415,
      -0.282416265797178,
      0.3082792334073,
      -0.509225649328811,
      0.343777080924489,
      0.118031021383535,
      -0.00731605397366511,
      -0.0988747012055583,
      0.0387359290590483,
      -0.0800253183480626,
      0.417116320429277,
      -0.422987263753553,
      0.16631620829359,
      -0.230493804714741,
      0.39395183038261,
      0.0660900163138822,
      -0.38174429971869,
      0.227246245555991,
      -0.534009833749883,
      0.199700849731689,
      0.0278363975030733,
      0.196643633914721,
      -0.0175706052952603,
      -0.136304465376238,
      0.170915703885787,
      0.0475365115475545,
      -0.582454140551107,
      0.500525514769524,
      -0.0532018630577998,
      0.0751374841538982,
      0.200870002777935,
      -0.242623123329408,
      -0.136440275716918,
      0.254571118958563,
      -0.1156801164075,
      0.217155889592527,
      -0.416376042186517,
      0.347658138343734,
      -0.0877519766686635,
      -0.248391707275616,
      0.175867899717688,
      -0.340513303320998,
      -0.0156527245195936,
      0.513537907014586,
      -0.260953566767196,
      0.155576486754826,
      -0.16416755529627,
      0.359994940530841,
      -0.582044673141694,
      -0.174649854314323,
      0.779606805014928,
      -0.255978029636695,
      0.106551798473595,
      0.527073832841046,
      -0.881011187798025,
      0.0859580354031265,
      -0.072045265989475,
      -0.506155900056083,
      0.695080091001953,
      -0.115393438080614,
      0.61458195357457,
      -0.293712586745917,
      -0.145009705303254,
      -0.0812365074992552,
      -0.0778449512054071,
      0.0534966986848593,
      -0.442012348989211,
      0.481763394259139,
      0.367730585781701,
      -0.216728353807287,
      -0.0873123706279357,
      -0.00316246757864558,
      0.0774401589357932,
      -0.165195761753146,
      0.10341222721316,
      0.152205118393662,
      -0.325491039666299,
      0.0904065437248004,
      0.168862838511471,
      -0.293703326491662,
      0.109975827841553,
      0.0824853690212338,
      -0.180526395040595,
      0.241722219667808,
      -0.228300658779389,
      0.210069496546176,
      -0.0102078400871429,
      -0.157923389990004,
      0.163270108059831,
      -0.044692634231757,
      -0.0700853767559464,
      -0.192534980719063,
      0.184401828301336,
      0.296572284749094,
      -0.141231518852883,
      0.0753304665327196,
      -0.318294169476899,
      0.10769702635736,
      -0.109181514919777,
      -0.0921829025160831,
      0.126110947516216,
      0.290722866097079,
      -0.353162074121693,
      0.330335033104455,
      -0.263549396768577,
      0.279431679410333,
      -0.614379900978362,
      0.232829192089776,
      0.244949207086423,
      0.00184445492327311,
      -0.0523242371515336,
      0.0330320634174245,
      -0.0816752867811669,
      0.39277220425366,
      -0.377952692056995,
      0.134018741955288,
      -0.228933236785694,
      0.326554578741519,
      -0.0126713717398222,
      -0.147194524748655,
      0.0681723840689995,
      -0.47456802586732,
      0.109147519474126,
      0.156111422776997,
      0.112761153927394,
      0.063080821481225,
      -0.170061959863519,
      -0.0465473806147153,
      0.329552454449252,
      -0.45356144900205,
      0.262470067484396,
      0.109786726607625,
      -0.215754098468588,
      0.196467536357366,
      -0.0536487195559823,
      0.0336757389883523,
      0.279078324650893,
      -0.341068078807333,
      0.13936739476344,
      -0.750471568444837,
      0.586911731565529,
      -0.0798366303474103,
      -0.0183194061780457,
      0.191976141826759,
      -0.0446189029493594,
      -0.0310613908881313,
      -0.0233243286858155,
      0.0514191107183465,
      -0.0273616256367116,
      -0.0022346319362356,
      -0.0184427232831528,
      0.1264168944538,
      0.158319548357872,
      0.251902306409417,
      -0.398673310636103,
      -0.0188160843511387,
      0.401973609594422,
      -0.374719691701409,
      -0.157322362368932,
      0.0758326362182192,
      -0.0296516165987313,
      -0.0196391915979674,
      0.0189267887196934,
      0,
      0,
      -4.29381339116606e-31,
      0.0509637845687662,
      -0.053576002169648,
      -0.0564982260880089,
      0.0873877396966233,
      0.00169307076739798,
      -0.373644052097135,
      0.258150000197651,
      0.0726006114398486,
      -0.165780125009082,
      0.208376887069489,
      0.161647084986658,
      -0.218805617143177,
      0.153685655257001,
      -0.303056949798658,
      0.145875568165068,
      0.092797885096274,
      -0.0279264920198148,
      -0.224317298290907,
      0.360047692465281,
      -0.0661754549618897,
      -0.16541585025497,
      0.209567477320875,
      -0.216719198478375,
      0.00658414058893594,
      -0.301667730333304,
      0.348568393736329,
      0.0837120124018175,
      0.0820016035770117,
      -0.0414872518496489,
      -0.115613615447509,
      0.536612061954119,
      -0.344443085106705,
      -0.366431419848139,
      0.375406738629838,
      -0.339588182476756,
      0.0876090258333161,
      0.024923879918157,
      -0.0256776033040015,
      0.229241528318211,
      -0.451976064414073,
      0.120455547651768,
      0.125505967254275,
      -0.192054364160674,
      0.39288135819147,
      -0.111952283565531,
      0.0121886570776239,
      0.146658226613213,
      -0.31400917446152,
      0.0634264679585946,
      -0.03774966814263,
      0.0801960753151575,
      0.0877865044073219,
      -0.303813979285263,
      0.539229256418854,
      -0.0321239895741924,
      -0.299313740883959,
      0.106351477893822,
      -0.195515601346897,
      -0.121889461615315,
      0.177319918145665,
      -0.377718410392226,
      0.508496682632055,
      -0.0742956831976103,
      -0.036597028216095,
      -0.106783912458741,
      -0.0877140523106904,
      0.131221020868183,
      0.0624197064150329,
      0.184306964365174,
      -0.0980614399107617,
      -0.121556831516656,
      0.369040609097584,
      -0.159361758990047,
      0.125081777781354,
      -0.378455592534712,
      0.485980052968961,
      -0.224527103019076,
      0.0374491364691062,
      -0.253230375748758,
      0.00608339423726879,
      -0.00477264199463677,
      0.291139617831717,
      -0.0400829685194189,
      -0.389591782037063,
      -0.0770534191702395,
      0.434179819334725,
      -0.0212379022769748,
      -0.270956485513475,
      -0.0611644201049706,
      -0.0656707198270898,
      0.254716251530219,
      0.228900895255008,
      -0.355479888600537,
      0.0193552594509649,
      0.166124572950684,
      0.0833842267650972,
      -0.0912353440753308,
      -0.310710585932957,
      0.300351880849753,
      -0.191826515740032,
      0.156269835550492,
      0.0108798578094538,
      -0.180440502230489,
      -0.125643206390817,
      0.201037077439056,
      0.0913297161345958,
      0.0781456705324178,
      -0.288571235194968,
      0.175620643910222,
      0.328269563471631,
      -0.190871143492847,
      -0.0829858289642655,
      -0.221173373121733,
      -0.0192231283027999,
      0.378135629275728,
      -0.403480422087295,
      0.636465621985887,
      -0.53284130924864,
      0.031493760861402,
      0.111938538089058,
      0.186995606617056,
      -0.380435194646015,
      0.078880613521609,
      -0.293230511782651,
      0.0560439626454315,
      0.326898535981826,
      -0.0182868868039392,
      -0.0444842586243234,
      0.0597668258841076,
      0.0867771180575762,
      -0.0147505751189603,
      -0.00603022361786915,
      -0.191615741994521,
      -0.104148432197961,
      0.231544221608818,
      0.214572107435009,
      -0.232780766067778,
      0.0413338000041272,
      0.0860272373632486,
      0.126146622651096,
      -0.156025683777892,
      0.0496830672532396,
      -0.384938759739802,
      0.165578016234754,
      -0.188284168098277,
      0.230087593012141,
      0.431818260857187,
      -0.594499702273171,
      0.220166713508382,
      0.21965910795114,
      -0.468418711489707,
      0.37761288037096,
      -0.200060523329613,
      0.0896077032071034,
      -0.116409911646623,
      0.115747124708924,
      0.0627477315247395,
      -0.168055679061162,
      0.100987650144211,
      0.399474235919372,
      -0.653328978639191,
      0.45174922490327,
      -0.281277271039621,
      -0.102479024064143,
      0.16023768454768,
      -0.171653791000171,
      0.452950077670853,
      -0.579581624835625,
      0.113955237487563,
      0.127405238050404,
      -0.107168893312413,
      0.186937890552351,
      -0.0337251995768523,
      0.0700828993303674,
      -0.0527743454967781,
      -0.204379740685824,
      0.00491849519390694,
      0.0594564783258468,
      0.153150998622087,
      -0.0491141032065148,
      0.132287246762481,
      0.223342931244664,
      -0.318431684994577,
      0.0473124332898182,
      -0.239789601937012,
      0.201302080443299,
      -0.179084636877587,
      -0.134564642449461,
      0.287019819513636,
      0.248617031747401,
      -0.353696901963283,
      -0.123061837428945,
      0.222139125394069,
      -0.269811599764444,
      0.451598400398642,
      -0.256050831716493,
      0.0912238607125226,
      0.23691793355993,
      -0.276373559308202,
      -0.00279619511689469,
      0.193103963541257,
      0.0454271294724269,
      -0.000111698602768474,
      -0.459716073182473,
      0.343096519882364,
      -0.0748903275032522,
      -0.281430299076611,
      0.357632506369968,
      -0.210917365290923,
      0.0673072748906892,
      0.00888368659042539,
      0.112526492508472,
      -0.00233247059716807,
      -0.0779282444007359,
      -0.16653487937806,
      -0.0193811405845152,
      -0.0455130293787006,
      0.42695474466174,
      -0.339693054847631,
      0.560482438320089,
      -0.283543154028871,
      0.321658056332329,
      -0.233767607281571,
      -0.136575452969508,
      0.0462803467859389,
      -0.0551210092289238,
      0.071535633937615,
      -0.0110318122849423,
      -0.0987029784274316,
      -0.0534846526862503,
      0.174077105078774,
      0.00363018894266726,
      -0.0962019360062625,
      -0.0301637964862876,
      -0.0424847489212562,
      -0.146976605162317,
      0.26503301927467,
      -0.0641679775666844,
      -0.0784998454118351,
      0.0410442754912276,
      -0.0572998456283001,
      0.164916264331562,
      0.0285757962358266,
      -0.835856581109387,
      0.921513925754295,
      -0.296068352850743,
      0.535216922512317,
      -0.390263238989734,
      -0.0352416945886069,
      -0.194709987131231,
      -0.0822710290965677,
      0.166058811242299,
      0.183280312420529,
      -0.36832705370991,
      0.5012715613871,
      -0.275548037043457,
      0.113859163132695,
      -0.188441582232566,
      0.191912619920287,
      -0.128598497686075,
      0.298054629961085,
      -0.244513247418328,
      0.358054484444503,
      -0.331758647427742,
      0.237363842548522,
      -0.398456913188887,
      0.119385559134549,
      0.127247921060354,
      -0.321001211566562,
      -0.0949829451021364,
      0.318823679218609,
      -0.0721453548588938,
      0.392972310841796,
      -0.309811310096979,
      0.00495779382628766,
      0.0636562767763104,
      0.0108595224436005,
      0.0499235820524251,
      -0.326531239976219,
      0.192783209195069,
      -0.00148993711064411,
      0.153423589170451,
      0.14449265400739,
      -0.0123256358597593,
      -0.283539960150838,
      0.181674147881535,
      -0.331865997501653,
      0.3005513118687,
      -0.37227139303856,
      0.132120122010604,
      -0.0897237061294514,
      0.12919299020856,
      -0.206001230448523,
      0.451164918913061,
      -0.115244349199181,
      -0.0574920731252972,
      0.00966361059343413,
      0.261794748524839,
      -0.135737959559625,
      -0.231530626989193,
      0.050128598252295,
      -0.21121997888423,
      0.589881602946961,
      -0.411621546264283,
      -0.210592222692989,
      0.118864232816726,
      -0.182745422563048,
      0.594860311850645,
      -0.245127567295147,
      -0.063842667062696,
      0.267715954171376,
      -0.392820583998823,
      0.311257203475796,
      -0.490369806437891,
      0.447174345956941,
      -0.320358617306309,
      -0.137554899969357,
      0.434852599942181,
      -0.110598644843988,
      0.263416187509078,
      -0.10865820866444,
      0.135792524926532,
      0.0808495581722496,
      -0.140605493518271,
      -0.229988982609569,
      0.0465261354941004,
      -0.0639096634773185,
      0.462030653036486,
      -0.515211608124529,
      0.163098211585462,
      0.137807729840248,
      -0.381232696603405,
      -0.218788914631264,
      0.424055935397269,
      -0.207740621111075,
      0.293962746833821,
      -0.118168326316504,
      0.173797540095817,
      -0.08932122507093,
      0.125560572706034,
      -0.247321152425003,
      -0.0130561032042177,
      -0.125645152366403,
      0.221194414330337,
      0.00265887364920948,
      0.182239661986418,
      -0.144004393294713,
      0.0695118469197437,
      -0.40873541151291,
      0.171718348777909,
      -0.244602081171768,
      0.180423842014828,
      0.533991198470102,
      -0.705834741885017,
      0.296740584711863,
      0.204046732138123,
      -0.256517572721949,
      0.257608394020587,
      -0.300526234502142,
      0.116297126971225,
      -0.109646396912429,
      0.103407161159469,
      0.0205497756215197,
      0.275998884358584,
      -0.200942154146587,
      0.313594121504824,
      -0.530091943057213,
      0.415618045091874,
      -0.276294677912278,
      -0.017851002247114,
      0.0705959230812806,
      -0.3566326888175,
      -0.102183810099206,
      0.403039690890622,
      -0.0795606169579761,
      0.55461432593449,
      -0.699941939875716,
      0.31110525892153,
      0.025038799208417,
      -0.177863680004806,
      0.286156433211211,
      -0.194436464851131,
      0.00940974742723635,
      0.120319641078559,
      0.0747500949207421,
      0.0883210674181368,
      -0.238091523702965,
      -0.0343281265882287,
      0.255838848383342,
      -0.21103638635334,
      -0.0369681640057013,
      0.00475787556836686,
      -0.00678609049085547,
      0.118555756247629,
      -0.166707466255265,
      0.114071632151272,
      -0.104094799567576,
      -0.0702879672758606,
      0.118232658690058,
      -0.140293091597633,
      0.171310133679934,
      -0.160514866436691,
      0.105285729746599,
      -0.0134816847714213,
      -0.162781013782216,
      0.129750505913138,
      0.202635154958635,
      -0.170186273779208,
      -0.0539742483511328,
      0.224250320273193,
      -0.0694086619308499,
      -0.253767704915931,
      0.106964895179472,
      0.0374293899591765,
      -0.00429752433046906,
      -0.0202723382966029,
      0.0186642226257345,
      -5.10513509016183e-31,
      2.60242105029792e-31
    ],
    "spectral_entropy_curve": [
      0.0793978820701856,
      0.339691094496568,
      0.449829683290117,
      0.42829818032681,
      0.456018458070342,
      0.433095282522373,
      0.442479914262271,
      0.451844744772738,
      0.418820919132229,
      0.450802248534277,
      0.473147818175473,
      0.499897340000016,
      0.522453661707255,
      0.471535341614376,
      0.386490110717833,
      0.390983077508289,
      0.487396984722851,
      0.444621506567542,
      0.41997495939487,
      0.461140285989314,
      0.39746938409694,
      0.387345797442022,
      0.466143904486671,
      0.642375170418202,
      0.477456539159921,
      0.531421510736056,
      0.434506361450634,
      0.460243026681277,
      0.545405648815138,
      0.418101342372682,
      0.463633311477244,
      0.493830735021371,
      0.418197176590894,
      0.393477369714359,
      0.483148743040859,
      0.431896357027084,
      0.496180304913038,
      0.561858908808853,
      0.444221592768551,
      0.451337516862225,
      0.637902617672493,
      0.478024256898571,
      0.497650345998616,
      0.477362354055539,
      0.435751931822194,
      0.454635930791504,
      0.446036602825361,
      0.444171773706067,
      0.52477302663678,
      0.430967202281056,
      0.477560129550305,
      0.538398082845731,
      0.417284813624929,
      0.473570752742709,
      0.502315057921669,
      0.421070472221344,
      0.386045071653767,
      0.50117638956142,
      0.410469775376835,
      0.502186529206803,
      0.545604753635537,
      0.429184346186827,
      0.505996025739426,
      0.620647878093583,
      0.458950120222548,
      0.520729968756401,
      0.435449200407043,
      0.452257903074362,
      0.466066036611118,
      0.435707419589751,
      0.385881941094242,
      0.530692052940976,
      0.493104100945778,
      0.407574994588697,
      0.55253372067907,
      0.451302152676487,
      0.484966383225784,
      0.48434858015294,
      0.417888848363038,
      0.391200879058202,
      0.522998148526544,
      0.47020763101799,
      0.507165925325474,
      0.523114748493116,
      0.42626962548428,
      0.618198732868559,
      0.56681039825836,
      0.491060285021237,
      0.645122962988964,
      0.391829815036491,
      0.432144844360386,
      0.517511649442772,
      0.453657531344992,
      0.383064531678204,
      0.551152075385246,
      0.464107817152951,
      0.409998605378555,
      0.553597042932755,
      0.453495068147423,
      0.470242577569499,
      0.471915135269568,
      0.42888679480294,
      0.423026313329159,
      0.522312881135691,
      0.444950763869757,
      0.531916454937187,
      0.479685618216875,
      0.452574380252706,
      0.617527628401842,
      0.552539844574048,
      0.586786549270475,
      0.625012093533743,
      0.492109360052805,
      0.490930027679518,
      0.523528370010692,
      0.376756598461585,
      0.494141442511857,
      0.6122098592523,
      0.507143387753865,
      0.502212480753304,
      0.504874434392095,
      0.514523863106285,
      0.423681805230386,
      0.557681276581256,
      0.594252822688548,
      0.558055695345634,
      0.593498613359688,
      0.504454030586106,
      0.647172382614427,
      0.61476754022248,
      0.500243372473011,
      0.585658923884521,
      0.637963961037811,
      0.530385206249004,
      0.590325976777464,
      0.722037054360835,
      0.621409689461932,
      0.617046410607126,
      0.455352729461057,
      0.495008745274262,
      0.598923466536613,
      0.522061467119705,
      0.521724178784142,
      0.480206500172418,
      0.489717954064516,
      0.478280396027937,
      0.550920723593663,
      0.588461470908095,
      0.566214550683137,
      0.573132643733595,
      0.520225489578623,
      0.649068795861583,
      0.606871153342375,
      0.481067829006796,
      0.602472519570939,
      0.652585870487122,
      0.523986246823491,
      0.602607429586408,
      0.725120466881186,
      0.614706031132295,
      0.606542756020753,
      0.462882200492493,
      0.476935864830887,
      0.513924996019626,
      0.384785435852228,
      0.448077656474147,
      0.448806034121951,
      0.516535254854163,
      0.504904205483349,
      0.3737661004261,
      0.421458916240041,
      0.420089426261683,
      0.4459268438684,
      0.399096553345079,
      0.501319631999884,
      0.474698670884508,
      0.460366496963409,
      0.530814533037859,
      0.534011915312314,
      0.517597001215529,
      0.543633318165181,
      0.418333772717558,
      0.509383125163001,
      0.465222666714806,
      0.430368217790973,
      0.4995764388251,
      0.479273232516434,
      0.381439868236929,
      0.465775002948231,
      0.454806483976494,
      0.528377842854991,
      0.486373036492128,
      0.358264716438894,
      0.418065710591251,
      0.422251866137188,
      0.465257553684518,
      0.369675160945194,
      0.536560279743971,
      0.45702227312232,
      0.463355872192182,
      0.549417204355958,
      0.503341903242317,
      0.516212786166905,
      0.522073199482598,
      0.426043646141487,
      0.547885560272343,
      0.449187661148256,
      0.385998331327346,
      0.46642814396402,
      0.453754909820513,
      0.446532098187815,
      0.596186255058051,
      0.477411005234911,
      0.404524352555992,
      0.49204477283325,
      0.399432106808303,
      0.418432988150315,
      0.489553091301004,
      0.489590622580217,
      0.466447230575384,
      0.534737415946882,
      0.378386862819349,
      0.512777037857474,
      0.651831617756802,
      0.498560529916942,
      0.504323325852405,
      0.503092592347534,
      0.40564896574003,
      0.469181183348464,
      0.509032242770613,
      0.374048972053106,
      0.476888365781842,
      0.462967707106186,
      0.441070999436811,
      0.588500892208811,
      0.473369634586547,
      0.393626706706801,
      0.492364877873455,
      0.422743998332942,
      0.411726709040206,
      0.514050600678415,
      0.464355873747146,
      0.462002833061379,
      0.520120661939045,
      0.392880429796139,
      0.544208117307677,
      0.639211090501121,
      0.53345259661124,
      0.525879248789544,
      0.509625634197582,
      0.447420765653613,
      0.547516752124529,
      0.448080004167748,
      0.457570312833917,
      0.55425147598889,
      0.569142112392438,
      0.438709775662145,
      0.568142381991782,
      0.484017460411328,
      0.477520643798581,
      0.526685491215944,
      0.626950225950743,
      0.474573699217768,
      0.622804207561759,
      0.479813015364554,
      0.592455303125257,
      0.63308632705106,
      0.568224706674631,
      0.555654875807,
      0.600832384749923,
      0.568222180438767,
      0.596681795021593,
      0.568484250518501,
      0.617453180106167,
      0.633880386820203,
      0.495145644932357,
      0.463935409123961,
      0.572207213768827,
      0.547418753948208,
      0.462071623090988,
      0.532324713709803,
      0.493353685652468,
      0.465904946936106,
      0.547079445665529,
      0.621354207509287,
      0.46559731881738,
      0.627896782177692,
      0.496888302722874,
      0.606901609427165,
      0.641391550046942,
      0.547036886702659,
      0.538955378844406,
      0.631077100344401,
      0.622266324785963,
      0.521341934276741,
      0.681733024391063,
      0.673082602209678,
      0.630662787212905,
      0.511916064000599,
      0.26782198371738,
      0.261673154320651,
      0.363188562472268,
      0.451215871099217,
      0.409449976061609,
      0.394226523515374,
      0.409170201030847,
      0.485061585179036,
      0.506167613131919,
      0.387103113998658,
      0.401898503966878,
      0.400819371198827,
      0.391022035651326,
      0.412783515766806,
      0.375482057112553,
      0.36650758308014,
      0.489618271621504,
      0.473719980674875,
      0.450179621602401,
      0.427500865387402,
      0.512069653555881,
      0.435609187409788,
      0.485791071644094,
      0.495577398924194,
      0.55213913837776,
      0.423539407999414,
      0.482235562331649,
      0.47876562317239,
      0.395504761273226,
      0.503116120386066,
      0.460905157670636,
      0.42290845587318,
      0.454570050324888,
      0.437235403830272,
      0.403789583521346,
      0.557377590733079,
      0.451268109086847,
      0.487708551070397,
      0.62604526899788,
      0.505649462234649,
      0.491354206183202,
      0.572310866770243,
      0.446126431836848,
      0.428354106152966,
      0.479621756500639,
      0.357712735946268,
      0.496285850236052,
      0.594736342720846,
      0.522472450547506,
      0.523696899344166,
      0.484224236829627,
      0.49598715284435,
      0.471613067885231,
      0.554452076930668,
      0.581810345099201,
      0.565905620584493,
      0.569977172455536,
      0.514439690671678,
      0.648158021589697,
      0.603514169867192,
      0.482574487517622,
      0.608803131613335,
      0.610520981775992,
      0.563983878163801,
      0.599343054596542,
      0.636756458346292,
      0.541692755263395,
      0.608133401214316,
      0.456080567181216,
      0.473715015100585,
      0.611076826437591,
      0.518006464661579,
      0.524740825014469,
      0.487155921764034,
      0.48134582449712,
      0.51596410370075,
      0.539981920057992,
      0.578942936885421,
      0.572489223391458,
      0.541816049681101,
      0.54070960539941,
      0.651021018713895,
      0.586704988160653,
      0.510310255583618,
      0.591845906772772,
      0.680241480354244,
      0.482559168541715,
      0.633493412172588,
      0.701857129572947,
      0.613907404191452,
      0.595714943302067,
      0.489018056632831,
      0.487880648103504,
      0.501696659131668,
      0.403341836989319,
      0.461241819874209,
      0.434472863942275,
      0.405581054202926,
      0.512105420716209,
      0.437077707343464,
      0.469656432990221,
      0.517516948624184,
      0.469300460941657,
      0.475950022780052,
      0.4808541862834,
      0.438441142379172,
      0.492088576112447,
      0.522539631200414,
      0.456758035987696,
      0.412843636499375,
      0.479954172565763,
      0.375849498439023,
      0.44271771520938,
      0.442780845578536,
      0.511730179020133,
      0.586720347015,
      0.537594653306396,
      0.348689327275264,
      0.314321684353507,
      0.0721826852476019,
      0.147942251884731
    ],
    "spectral_skewness_curve": [
      0.7738097145172,
      0.910423948016276,
      0.935250383578915,
      0.948842972175563,
      0.930077763711422,
      0.951781080687067,
      0.915127589867077,
      0.943999916520164,
      0.959774664773348,
      0.946145111494675,
      0.973194230643426,
      0.874283354349183,
      0.804307283134203,
      0.85340511703128,
      0.937626278396193,
      0.933918425645818,
      0.827053506552027,
      0.871132652835063,
      0.920636780782991,
      0.85219232654104,
      0.907687829043312,
      0.956615626280333,
      0.881631726332291,
      0.89051360966032,
      0.940936205353655,
      0.88455306134662,
      0.953439236819059,
      0.94386137218106,
      0.896241450627485,
      0.983396826867463,
      0.889391012986982,
      0.945382857736741,
      0.955614364349236,
      0.990363035552659,
      0.936993085842771,
      0.968092462978433,
      0.930393108961581,
      0.906095680920736,
      0.936179108531929,
      0.993754714852458,
      0.830523187193132,
      0.984107216577997,
      0.961152453692932,
      0.935893851570226,
      0.953436133765352,
      0.960199832834405,
      0.965388194701199,
      0.957727605888536,
      0.903724153250163,
      0.955349135232795,
      0.930402683696338,
      0.911572526835098,
      0.986326504651071,
      0.892811757544151,
      0.930508523700552,
      0.960990315211611,
      0.999243562115167,
      0.9231885873328,
      0.984689852617498,
      0.93370750099371,
      0.903677131027854,
      0.956168822366621,
      0.97487474446469,
      0.839140339733563,
      0.982818694814198,
      0.943452883893547,
      0.957253187072229,
      0.953983314791153,
      0.965515681190911,
      0.881423321835513,
      0.98815242451417,
      0.925931429588651,
      0.899187335649022,
      1,
      0.899936572473964,
      0.911143285297111,
      0.972413275571706,
      0.900778544551002,
      0.999218263537206,
      0.979207274672552,
      0.917593343310402,
      0.900293255399798,
      0.982540256775355,
      0.963623106955656,
      0.96598698979828,
      0.864624489607335,
      0.852591017727525,
      0.9337935788331,
      0.814211843783647,
      0.997326984124327,
      0.977357321568661,
      0.92963085353395,
      0.900742739508908,
      0.985545800164271,
      0.909846219180269,
      0.917954660581406,
      1,
      0.89582459852182,
      0.907530723302201,
      0.968950812967046,
      0.905699202767284,
      0.999185773428628,
      0.967274315404294,
      0.895509051303056,
      0.941757511182734,
      0.953118524454857,
      0.981471161347876,
      0.947798515052376,
      0.862316389720179,
      0.882100612648664,
      0.931228269324706,
      0.827561652008118,
      0.98066247948196,
      0.958256933821659,
      0.944795429171811,
      0.998555869003111,
      0.912920377485995,
      0.824160928479489,
      0.962941894280386,
      0.935308108575686,
      0.941830947530194,
      0.871757056452889,
      0.91762586551238,
      0.736092159099816,
      0.802969383601291,
      0.832475209245119,
      0.786934123683355,
      0.900289195876991,
      0.79011941804524,
      0.878246027224498,
      0.933098354629265,
      0.91221466420647,
      0.788000501369757,
      0.817021710945201,
      0.731306426447113,
      0.722583455593564,
      0.77254839364636,
      0.773465576837378,
      0.952452036928886,
      0.917149449765682,
      0.837314381787476,
      0.954311037692518,
      0.930619081072973,
      0.947447462646289,
      0.880194780091907,
      0.890846638901392,
      0.741632067060058,
      0.799105443916563,
      0.83372006387291,
      0.806230035030073,
      0.904952016670275,
      0.772401653013202,
      0.892923543354491,
      0.955321702694547,
      0.906121043538949,
      0.742174395401941,
      0.832300918896097,
      0.717383007173216,
      0.727870330084824,
      0.795053607689267,
      0.794925250713481,
      0.962372526184416,
      0.882533358194933,
      0.938479401290696,
      0.986475499306737,
      0.952176552088543,
      0.941735768011333,
      0.755594101947002,
      0.897823030791762,
      1,
      0.903017528486225,
      0.956385919470822,
      0.94119166267615,
      0.989566548000338,
      0.904369794998162,
      0.917395150079805,
      1,
      0.93683305695935,
      0.897211338434636,
      0.926112543763614,
      0.960536551197661,
      1,
      0.772867787650901,
      0.955487287363165,
      0.97973578992906,
      0.86504136868378,
      0.959359140644484,
      0.972383308696803,
      0.954840554147281,
      0.913089819339457,
      0.76583614207904,
      0.914380350238815,
      1,
      0.906586520871193,
      0.960385056727004,
      0.943532713549049,
      0.9907995417954,
      0.861165872657797,
      0.958616147409656,
      0.995970470328813,
      0.914404402395478,
      0.935878463385482,
      0.92765954398928,
      0.958292993613825,
      1,
      0.753518714560883,
      0.955697028361958,
      0.991411510288024,
      0.966885844284571,
      0.981501813911952,
      0.946813502129404,
      0.860265335835808,
      0.876532855435067,
      0.934206967710457,
      0.955553623122701,
      0.962675347607676,
      0.954911671764304,
      0.952533605186401,
      0.893062885460715,
      0.937844100628816,
      0.955232509826646,
      0.973737675379257,
      0.859857440245968,
      0.848480278867537,
      0.963880785295147,
      0.929857227572087,
      0.941317916680291,
      1,
      0.918939127793938,
      0.854556350027418,
      1,
      0.96077917608335,
      0.939969600222948,
      0.976582081876611,
      0.869456676881334,
      0.868955498112189,
      0.943949670438652,
      0.954748381373624,
      0.955805360834013,
      0.952449668472327,
      0.892924451962793,
      0.930766915835109,
      0.953008017158068,
      0.953162745760701,
      0.971046116973023,
      0.827517954116881,
      0.862630477410731,
      0.945296813256259,
      0.909831389550806,
      0.936554053104468,
      0.991147149430402,
      0.879779926150668,
      0.914903035326651,
      0.944199780998785,
      0.857479109010059,
      0.929721329367722,
      0.976209795355729,
      0.928978364784387,
      0.894231079534619,
      0.881885235330208,
      0.756827928316647,
      0.797429974553175,
      0.893483017069845,
      0.774620626140282,
      0.921173884275397,
      0.856091813715724,
      0.831413357649849,
      0.908825097119285,
      0.90769079904957,
      0.841461622718945,
      0.789912567418062,
      0.842536092013151,
      0.759733948279798,
      0.777706952606787,
      0.800377603105835,
      0.902820728562354,
      0.933870792448495,
      0.841765508126134,
      0.952364105699771,
      0.983001059365397,
      0.917007584322244,
      0.894154929049474,
      0.893184457110677,
      0.745257509864894,
      0.794024780166029,
      0.895015822628166,
      0.783181704040961,
      0.910047436606663,
      0.84404135729925,
      0.831691024057449,
      0.908602704126489,
      0.915281631073584,
      0.831110147470199,
      0.760547745542614,
      0.829745826433091,
      0.705305068836753,
      0.725151663647927,
      0.807832229832606,
      0.903095644196011,
      1,
      0.995079833143071,
      0.984073575415594,
      0.997260101565237,
      1,
      1,
      1,
      0.842925220649934,
      0.953162234905173,
      0.994480804344665,
      1,
      0.977294360762968,
      0.989098152717658,
      0.962234221711674,
      1,
      0.99059334195326,
      0.926543067447399,
      0.981935953307896,
      0.983319655919003,
      0.952115794607349,
      0.774553370657408,
      0.968918415397643,
      0.944623866566823,
      0.991503731442181,
      0.974541373004069,
      1,
      0.995462248909306,
      0.949861443958782,
      0.991250002849643,
      0.979492364717584,
      0.956348793781057,
      0.958732712561133,
      0.953833686495048,
      0.943094340690124,
      0.997795128968784,
      0.903605706315389,
      0.986460297976142,
      0.990338545133067,
      0.93102546449746,
      0.930745420282194,
      0.989699725731127,
      0.932653362208802,
      0.958941540353299,
      0.985040543914088,
      0.954975091335336,
      0.974299652433133,
      0.91730977833667,
      0.861778973578628,
      0.961972989882775,
      0.919889320653474,
      0.949131941783469,
      0.870357239591676,
      0.896199012632692,
      0.744182068948305,
      0.820348712956904,
      0.829119835904569,
      0.818056363814731,
      0.899530827477582,
      0.782626892405652,
      0.895194261295107,
      0.9480429808029,
      0.898211199424434,
      0.791502966147326,
      0.817386341165179,
      0.710271755106658,
      0.796763810672978,
      0.862348233314482,
      0.795431446244621,
      0.96164578573407,
      0.927916142444169,
      0.85253739560354,
      0.957699972629516,
      0.934367863554007,
      0.941446097192595,
      0.847863541414487,
      0.885401862853776,
      0.781983499990757,
      0.805529869344281,
      0.839576591922361,
      0.85618951754337,
      0.884834628439285,
      0.780706039518219,
      0.925054023395142,
      0.936675363071515,
      0.900603459165541,
      0.726761874764615,
      0.878334907512069,
      0.700001780558286,
      0.743253850887044,
      0.796194835298388,
      0.819285401034905,
      0.846043090538297,
      0.716249225223843,
      0.752451498322935,
      0.753245275568789,
      0.803811181811528,
      0.797123781314482,
      0.741710423845964,
      0.743423283305436,
      0.718758800643538,
      0.693787887526618,
      0.800861862193097,
      0.668242331628807,
      0.72341981705702,
      0.785249975648949,
      0.769361315524441,
      0.716103504286662,
      0.865386645723791,
      0.803097778855413,
      0.78716242959721,
      0.898355446801518,
      0.879197837859165,
      0.916335414044423,
      0.915828426901606,
      0.687640757342405,
      0.728668945213943,
      0.915512038767239,
      1,
      0.964285744397453,
      0.750000210782169,
      1
    ],
    "spectral_kurtosis_curve": [
      0.264881217255684,
      0.763395110867839,
      0.887539920611252,
      0.917798397396818,
      0.874084374407168,
      0.913478663072988,
      0.82778157248631,
      0.911706431399958,
      0.952838781086479,
      0.928015871286813,
      0.975450434576184,
      0.833066820749623,
      0.594393023633873,
      0.680769224413521,
      0.865507185826712,
      0.842688754772871,
      0.639858765720401,
      0.754954748542859,
      0.831149013215621,
      0.684557178124793,
      0.786148962473647,
      0.931035743566316,
      0.763933052246264,
      0.756143575475556,
      0.910439047419765,
      0.758424262621315,
      0.938006372438512,
      0.978739326443025,
      0.783548565605843,
      0.924103388285811,
      0.727652956959502,
      0.874156678391448,
      0.899594919857268,
      0.976372889876039,
      0.839466960987288,
      0.930474454194227,
      0.894746343412287,
      0.826783343779256,
      0.894870526794626,
      0.971604548261878,
      0.619108198864173,
      0.978104680311178,
      0.913467830917393,
      0.858295186636685,
      0.876638268993755,
      0.897271818694792,
      0.944343292350461,
      0.963707463095871,
      0.802248729027543,
      0.952444388533687,
      0.937656056257069,
      0.800409918827068,
      0.933184727268371,
      0.740009809331135,
      0.844774259055291,
      0.909315639329987,
      0.997198590138326,
      0.806616903482657,
      0.976339397655113,
      0.903368088571775,
      0.825874201445649,
      0.921193658255848,
      0.918314874008544,
      0.649319815728946,
      0.984226824927605,
      0.865336939580799,
      0.908317909426841,
      0.874233678012077,
      0.90684142559204,
      0.675604571336582,
      0.964809534980905,
      0.81782931238312,
      0.740704459147359,
      1,
      0.777217353670993,
      0.760906958134965,
      0.922062346923077,
      0.747045753966095,
      1,
      0.941392264977826,
      0.781726969923499,
      0.778091669205962,
      0.957639547310898,
      0.923223435922592,
      0.9295767561726,
      0.66891649479546,
      0.666255697036996,
      0.827889039323587,
      0.587930458624221,
      0.993656869740255,
      0.944890329467604,
      0.837551573090169,
      0.732573075409831,
      0.952517849159179,
      0.769733988179205,
      0.779909775731537,
      1,
      0.757620703818984,
      0.754588422976646,
      0.911652408966547,
      0.743265704069878,
      0.999632730443687,
      0.920966087486944,
      0.738066394182812,
      0.865785725788308,
      0.883082565193524,
      0.993477701523237,
      0.888356769462212,
      0.695373058208347,
      0.712991046248648,
      0.818440073653413,
      0.603209143018009,
      0.948392336106185,
      0.946316849893853,
      0.85814201825126,
      0.98716553242327,
      0.820818175433168,
      0.569825488767209,
      0.925440802277681,
      0.85216381628975,
      0.851490895805469,
      0.655710517291615,
      0.820378424038521,
      0.372132824138776,
      0.536917338897684,
      0.591565770962691,
      0.488381201474082,
      0.791825160598935,
      0.497223658821976,
      0.695518258875156,
      0.851374047975793,
      0.779122678862999,
      0.492533918152931,
      0.578982482740693,
      0.389185784388165,
      0.325142222443425,
      0.482359960669804,
      0.444993865812262,
      0.86415001531441,
      0.830948943477747,
      0.604245804725782,
      0.895866827648983,
      0.857325129781824,
      0.863140961647178,
      0.699524311818519,
      0.738394448113243,
      0.386656605914626,
      0.517757242515465,
      0.598490476855191,
      0.524120408819061,
      0.812302491640387,
      0.450072298501345,
      0.727214061583965,
      0.90338407607943,
      0.77586213057217,
      0.37723677683196,
      0.622032288679988,
      0.356642382607627,
      0.366574746111488,
      0.530285722111613,
      0.487658469688342,
      0.908838617503833,
      0.706682371398139,
      0.827974510796155,
      1,
      0.949925105104109,
      0.823420164472346,
      0.428836994989371,
      0.718968648295282,
      1,
      0.765651296376162,
      0.911796782596199,
      0.830869027206106,
      1,
      0.784906002374227,
      0.857140199802038,
      1,
      0.839554500415383,
      0.742531531411458,
      0.797054421997115,
      0.889131020520915,
      1,
      0.497464241242842,
      0.870721964446836,
      0.983597990399594,
      0.643999630428991,
      0.886438477663932,
      1,
      0.931659086462083,
      0.749877904194354,
      0.459482889940156,
      0.758931643452283,
      0.999724239460239,
      0.774474006865825,
      0.926342380089986,
      0.849212188190772,
      0.99774437087717,
      0.706103712860741,
      0.932180485517391,
      0.978900714771517,
      0.792042302854523,
      0.832111531902533,
      0.815446626187876,
      0.87435080651196,
      1,
      0.454125137564133,
      0.884492772107338,
      0.967431359240854,
      0.907343948848157,
      0.976725805222349,
      0.873917494298339,
      0.78153436771181,
      0.679435123829947,
      0.868749735543661,
      0.889361501102256,
      0.918090146483549,
      0.932409810999862,
      0.87830834416711,
      0.773375810458007,
      0.95093350857806,
      0.899099731370576,
      0.981464266439959,
      0.708799414622843,
      0.638608539187473,
      0.942635858064846,
      0.899554055901752,
      0.883261784384102,
      1,
      0.80885206052989,
      0.699355723414214,
      1,
      0.893532231382111,
      0.873340405211075,
      0.969181627627203,
      0.777953611389442,
      0.656140292177001,
      0.88372664066086,
      0.894575726238367,
      0.909505376388028,
      0.916641126548882,
      0.775284847446615,
      0.859584970070599,
      0.963750131948492,
      0.897143629312411,
      0.983337540049717,
      0.640865129483312,
      0.692773361472693,
      0.93423460443121,
      0.836906209219457,
      0.870949336306068,
      0.98518107261647,
      0.783974726303729,
      0.791803114239227,
      0.886463582053718,
      0.654508375443003,
      0.836939452631883,
      0.954179036074236,
      0.840488213790781,
      0.698998431742571,
      0.721473560970521,
      0.411186489002124,
      0.521022906795127,
      0.730216583256693,
      0.463760930628621,
      0.820021783444558,
      0.66227037857346,
      0.608655612619228,
      0.767152993840694,
      0.783802675007142,
      0.619618677085512,
      0.486005080649985,
      0.610250336111746,
      0.457068744214106,
      0.491456512788201,
      0.513307065655112,
      0.718725429712362,
      0.871791268668239,
      0.611974246828936,
      0.890353217308953,
      0.980752178392326,
      0.81036608782222,
      0.711061832122618,
      0.751322837876763,
      0.391959639570993,
      0.522987395621672,
      0.732490747340935,
      0.489826585850345,
      0.796209829204977,
      0.622641321912899,
      0.602511331742779,
      0.785338708823792,
      0.796131648404858,
      0.585511793875195,
      0.427615933992809,
      0.622295055579034,
      0.299072653233206,
      0.380105050599035,
      0.540268497199212,
      0.733207218875719,
      1,
      0.99054854437953,
      0.96813012612761,
      1,
      1,
      1,
      0.995274586595489,
      0.638468986138377,
      0.889696440407356,
      1,
      1,
      0.932000661952553,
      0.963437093700151,
      0.891006232696512,
      1,
      0.987787443237093,
      0.880101097830495,
      0.988658106517553,
      0.94647474424658,
      0.871464021567997,
      0.520490338478257,
      0.90705182114531,
      0.962910108353552,
      0.963150602531336,
      0.909056255746558,
      0.995432356429939,
      0.982001100966358,
      0.847456875343194,
      0.950770501575368,
      0.944780190948066,
      0.890444180574758,
      0.897870239167044,
      0.893377707417178,
      0.83136683698602,
      0.982736024304227,
      0.724448208081218,
      0.928087850383535,
      0.989740849958622,
      0.813782346127524,
      0.800910823137875,
      0.972000914018015,
      0.788517793722805,
      0.891872342280225,
      0.954330156304368,
      0.870765575037669,
      0.921330639682492,
      0.82393706760431,
      0.662893521923035,
      0.915273619638556,
      0.830723437047833,
      0.876773404735067,
      0.663427886009199,
      0.759050439698886,
      0.390621452940309,
      0.582680483343736,
      0.597221688028213,
      0.553664105776282,
      0.78925643160048,
      0.481429619030549,
      0.740782002011449,
      0.881094744649193,
      0.747908449108657,
      0.483498095622242,
      0.571948991774951,
      0.344720776953691,
      0.516252337167999,
      0.677560443164055,
      0.485040597809758,
      0.913074594836162,
      0.8382678619124,
      0.631799119359094,
      0.920323744853517,
      0.854129573314932,
      0.859452570001007,
      0.631242464568302,
      0.724506636028752,
      0.464465246708417,
      0.546903743824592,
      0.619509303515288,
      0.640045218338193,
      0.756714579661494,
      0.472032966566158,
      0.818779787026841,
      0.85686998623414,
      0.770003501709752,
      0.334789517654152,
      0.699649011289423,
      0.315791277399475,
      0.421825076712518,
      0.528457854720249,
      0.536215124273381,
      0.715205657070967,
      0.648298216013715,
      0.689520674923373,
      0.769050197765865,
      0.7887474414795,
      0.734784863199165,
      0.674455080672992,
      0.627068170445082,
      0.594581562396457,
      0.569233028097986,
      0.670648718789794,
      0.679932680658611,
      0.409490875128087,
      0.483559622466143,
      0.451614327550506,
      0.323756055025098,
      0.703442833870264,
      0.551535400443346,
      0.560208496975525,
      0.756117911971169,
      0.722924157230547,
      0.832080420352276,
      0.807961783214377,
      0.535072182177811,
      0.663695324393109,
      0.751270194415352,
      1,
      0.883928613250898,
      0.187500292756283,
      1
    ],
    "mel_spectrogram_compressed": [
      0,
      0,
      0.28500027016677,
      0.349870088088942,
      0.308907574987702,
      0.282557802061961,
      0.2726858640706,
      0.34267995175834,
      0.321020121676211,
      0.369419707805104,
      0.308613753934122,
      0.231023831066547,
      0.261058987973212,
      0.305709208289997,
      0.317854630645004,
      0.345416919973341,
      0.877346690980817,
      0.319764087643625,
      0.64456286699316,
      0.313926743296814,
      0.339175750823732,
      0.253369113125351,
      0.350596103994947,
      0.844874919755683,
      0.371641020078419,
      0.714840499989395,
      0.339331639664009,
      0.418343203523504,
      0.278118034786016,
      0.363356585033452,
      0.73050238082632,
      0.497387983025966,
      0.447812717300096,
      0.665460941593011,
      0.774970150312883,
      0.46985027049187,
      0.461234755883479,
      0.557760851617309,
      0.596822489050445,
      0.454965896421604,
      0.739164915398724,
      0.679185556329227,
      0.497215497805101,
      0.85069056716553,
      0.739312871330193,
      0.755836711801226,
      0.684411334857074,
      0.828882254664204,
      0.786673120270703,
      0.748908797366402,
      0.767709177949202,
      0.778591208688735,
      0.579946955416952,
      0.727121558214421,
      0.869999552852104,
      0.779947790809729,
      0.670573933521621,
      0.816804121323275,
      0.685903600539828,
      0.406346919007453,
      0.443722560231141,
      0.846540460856327,
      0.438906735066923,
      0.432902562668885,
      0.466181192981929,
      0.461373003296585,
      0.428144636863969,
      0.429657650058254,
      0.744951224498941,
      0.581709677730587,
      0.791956798626487,
      0.677036422650733,
      0.713398917941803,
      0.76661786846906,
      0.770361799313819,
      0.624996920609187,
      0.753127559939799,
      0.74799422305462,
      0.72267920826212,
      0.781297860900627,
      0.700944232494454,
      0.767347793667183,
      0.773321564360542,
      0.650847243327463,
      0.863631487428123,
      0.630552055265376,
      0.666126045810857,
      0.544106858702373,
      0.427110800898465,
      0.367899674792215,
      0.412713224666117,
      0.530411984716748,
      0.483492655375777,
      0.432388951135217,
      0.627090355455794,
      0.449064729245543,
      0.450556265399033,
      0.732572834546805,
      0.611796636562858,
      0.5975846218303,
      0.733336776588644,
      0.740603957607169,
      0.761284351456535,
      0.730084854051443,
      0.803787336142435,
      0.61832070991174,
      0.58550570213828,
      0.75190421994731,
      0.773431575386136,
      0.763783907298405,
      0.764840411835289,
      0.858408021167122,
      0.761825600401745,
      0.740746847756059,
      0.647526447003595,
      0.8507482191707,
      0.511293455319292,
      0.451189522342621,
      0.441640060596573,
      0.831521790207046,
      0.380382930874958,
      0.474115195052137,
      0.862569450154564,
      0.417495526058776,
      0.432639877515365,
      0.746646609135474,
      0.868736930760142,
      0.451602639540302,
      0.62125336363153,
      0.803759455676787,
      0.752164913080019,
      0.707117995005025,
      0.706593846766563,
      0.819540225580128,
      0.732230392362403,
      0.757389827783933,
      0.783844398478349,
      0.647680390999582,
      0.702353028886718,
      0.741592011875303,
      0.764332959722959,
      0.769756855548276,
      0.668978891841923,
      0.589510778666132,
      0.46821786109707,
      0.427075279897209,
      0.775600529168464,
      0.641159086378555,
      0.48895692714899,
      0.470643515949334,
      0.402757498644225,
      0.506501352494423,
      0.504148227283505,
      0.852222329915999,
      0.502243904613525,
      0.49673713550276,
      0.710577626910711,
      0.72575315890498,
      0.773167992869786,
      0.758203296215177,
      0.873235797099111,
      0.812000219896081,
      0.719372926663655,
      0.698450223991785,
      0.764246871746822,
      0.643171579293814,
      0.796033115374225,
      0.723571738942335,
      0.748509296254569,
      0.765857191670317,
      0.659243435037179,
      0.667479581009964,
      0.487699933672171,
      0.50319201386481,
      0.713744091808181,
      0.86245873934842,
      0.817139718569405,
      0.673996656459491,
      0.414559122375049,
      0.354002004046317,
      0.446759307969935,
      0.527130277117209,
      0.594012859419335,
      0.443766453619197,
      0.636105130715745,
      0.735978872937639,
      0.748093104704108,
      0.770863999214194,
      0.66486549924604,
      0.776333970325696,
      0.852753666269242,
      0.837839263189903,
      0.765423463149683,
      0.702501046174406,
      0.768138653627233,
      0.767900654727122,
      0.657926103286394,
      0.755472661123169,
      0.64194840787172,
      0.67026268836006,
      0.661288107837627,
      0.503952571468242,
      0.373761119988773,
      0.456256009974556,
      0.643386011987948,
      0.49973315114907,
      0.44110882538779,
      0.737952240648261,
      0.451072372469306,
      0.496364350906462,
      0.843072432541163,
      0.711611198802283,
      0.531685010904046,
      0.713817237464866,
      0.826234440663159,
      0.759988225052148,
      0.727027332483095,
      0.868171382272817,
      0.786919710984674,
      0.631069315343082,
      0.758127119596558,
      0.868453607318276,
      0.769275186551365,
      0.747070502068947,
      0.800776395977042,
      0.85770545724373,
      0.781329032241838,
      0.655065037368699,
      0.839145109372427,
      0.473788584744784,
      0.467279853655873,
      0.593630551347103,
      0.857369804547928,
      0.374394759430437,
      0.438926740258006,
      0.743780541220882,
      0.60404079457267,
      0.368137268217894,
      0.656950232950173,
      0.778753146591351,
      0.441831353887173,
      0.781922591297938,
      0.747453883584724,
      0.745626248003207,
      0.691829668872031,
      0.772548525721054,
      0.71526856847955,
      0.740537496858805,
      0.775275959195252,
      0.767278825480489,
      0.622892461308505,
      0.688774414446873,
      0.826070450267568,
      0.773233042919827,
      0.717895085070613,
      0.866656756793489,
      0.678743438492893,
      0.400753272953125,
      0.529248545174224,
      0.868615869310088,
      0.482435616043126,
      0.455553101743895,
      0.398825067935757,
      0.514828632490345,
      0.402167003042696,
      0.4563120718778,
      0.841659286529785,
      0.554071690541148,
      0.708534545225109,
      0.6662722218276,
      0.733691927849707,
      0.781360349042616,
      0.764272428305582,
      0.747137580920685,
      0.76282795804149,
      0.75919197779787,
      0.743816591222127,
      0.781406400961279,
      0.675626148535168,
      0.764408161755378,
      0.76500038605808,
      0.676086032220282,
      0.85565354088039,
      0.638013366448951,
      0.65828560624011,
      0.466944005001496,
      0.469022872099224,
      0.400115472260646,
      0.507059552701314,
      0.533458129471288,
      0.43678504709246,
      0.457820205633624,
      0.546082418273126,
      0.427856372794202,
      0.38847125422749,
      0.662458597449363,
      0.78224849637565,
      0.641611334243407,
      0.734758556246451,
      0.748772723792516,
      0.759994146619114,
      0.730283876623913,
      0.680108336977787,
      0.716726517033907,
      0.622396016706586,
      0.768924145343567,
      0.739692016343322,
      0.767890437296913,
      0.765089002510344,
      0.708184782672143,
      0.758269555080006,
      0.695295138615963,
      0.673441767790035,
      0.789441264467201,
      0.430229779088862,
      0.384184608815811,
      0.467848505676189,
      0.653267083172683,
      0.619804143755294,
      0.456492468179595,
      0.84660525140477,
      0.482081586787347,
      0.439810104208269,
      0.45463247409499,
      0.835704085040343,
      0.470906899622217,
      0.729223149318769,
      0.863791880845835,
      0.76274225454715,
      0.719820281038284,
      0.696527190687804,
      0.768233497107978,
      0.677583807261173,
      0.77466786841125,
      0.807580888643902,
      0.74636863682062,
      0.6844020242124,
      0.699803439672461,
      0.820068796782042,
      0.771021758610066,
      0.665701921500331,
      0.680236806712937,
      0.45072413210692,
      0.417245872294159,
      0.689973596335223,
      0.554915572049588,
      0.480527974791127,
      0.520833289326241,
      0.488308934139157,
      0.605578366185602,
      0.567468176766647,
      0.77811588428089,
      0.591337628375432,
      0.502435185802573,
      0.719539776527052,
      0.737308330880952,
      0.770540111287291,
      0.701004560042151,
      0.841394010998716,
      0.766972941367838,
      0.675912795938352,
      0.729847124585399,
      0.753350113678045,
      0.620196061504332,
      0.746138071108168,
      0.717997246996209,
      0.769450727298153,
      0.766593669113087,
      0.663263689986898,
      0.673501910252292,
      0.399886682144394,
      0.424408220899898,
      0.71888453293095,
      0.39731086787752,
      0.446353729764412,
      0.449925485045792,
      0.394682869400422,
      0.369866622035704,
      0.415985639208809,
      0.528897610448208,
      0.603834430539961,
      0.350792198168652,
      0.709567486112376,
      0.717513007250362,
      0.770445360807247,
      0.784217860308521,
      0.646937259979329,
      0.793119189482434,
      0.790057181133634,
      0.790384474641223,
      0.770471613251173,
      0.706750558421193,
      0.761638739226913,
      0.767139813881487,
      0.6672808186384,
      0.763668956836753,
      0.846680961590519,
      0.65878335077659,
      0.56405295089239,
      0.463548428331464,
      0.371315282160784,
      0.426243584794006,
      0.529067128677437,
      0.497776103334835,
      0.45797136644713,
      0.651584079518084,
      0.485867863200026,
      0.466690091948577,
      0.772855595582577,
      0.631437635871993,
      0.585132688769252,
      0.738522060963497,
      0.762626879168435,
      0.765378582047634,
      0.734183977587861,
      0.841904778156061,
      0.64338010700032,
      0.598097329998928,
      0.759748706323855,
      0.821659250934377,
      0.771094059420712,
      0.761303547084096,
      0.859506795646361,
      0.799579577680144,
      0.768890725201925,
      0.644477231837505,
      0.867981464630402,
      0.394607934472402,
      0.462500041781762,
      0.496255861045993,
      0.512847908465772,
      0.344064360689581,
      0.472463872577719,
      0.833685553467973,
      0.538572777368983,
      0.544580109136536,
      0.555668792056754,
      0.854630769318111,
      0.449938653488952,
      0.724309416207307,
      0.782558606116266,
      0.758993397390758,
      0.696921403017271,
      0.705828199985005,
      0.728265447827761,
      0.707819592190712,
      0.767713218396601,
      0.737157018517552,
      0.654802260498966,
      0.697803950665789,
      0.754520893349627,
      0.753564581791798,
      0.768650013501127,
      0.669240417272925,
      0.596455864492683,
      0.460364935058357,
      0.34033958213188,
      0.808514919495783,
      0.667604048349365,
      0.520333296364739,
      0.500512694825137,
      0.446671282553159,
      0.420562720985338,
      0.486293705830214,
      0.862297069143476,
      0.433778673984191,
      0.439031575793464,
      0.700017214509945,
      0.728481445344931,
      0.768986315439701,
      0.769513189515574,
      0.858366589699547,
      0.830883343164471,
      0.743833850269692,
      0.668399048035049,
      0.763430741014432,
      0.648913266098412,
      0.78820901921498,
      0.720142747187164,
      0.726171005347676,
      0.757628872336473,
      0.643540360978092,
      0.676172512721473,
      0.303493252735766,
      0.306568380442832,
      0.199268152212733,
      0.297730885064661,
      0.310267673617895,
      0.338834311392891,
      0.332741785108188,
      0.365370822725794,
      0.315554351233103,
      0.328431607660009,
      0.358324508896354,
      0.346510235731614,
      0.338184747485221,
      0.342759293148422,
      0.308315991184783,
      0.247484533025716,
      0.393469599479072,
      0,
      0,
      0.433853582137284,
      0.4601621570741,
      0.389770547278873,
      0.416449644859453,
      0.463200807202101,
      0.492001922102339,
      0.355763412934526,
      0.413973047492101,
      0.455516559448485,
      0.349354105498716,
      0.364663194002436,
      0.431816128935221,
      0.384687508707757,
      0.429289063507343,
      0.970481107609312,
      0.366038412319306,
      0.690582098290701,
      0.382714731037081,
      0.386775658901852,
      0.411115838996032,
      0.384691789867451,
      0.997066016205852,
      0.385631462482683,
      0.772752085789707,
      0.391816492599264,
      0.476919777950538,
      0.379638503119381,
      0.405674714338428,
      0.929539136635101,
      0.813802778697804,
      0.752705305787821,
      0.787200011938155,
      0.964388644505269,
      0.765693070665625,
      0.831737258376732,
      0.835222502224774,
      0.775676269448046,
      0.743967123299191,
      0.806218848619106,
      0.836552950599176,
      0.814972065532051,
      0.916238678741441,
      0.898664939591709,
      0.845624515536073,
      0.773836969000273,
      0.884055380939058,
      0.875327435155723,
      0.834554074848366,
      0.854635912457274,
      0.866677954592084,
      0.669976768276675,
      0.812831384030542,
      0.957911873396402,
      0.866915450895927,
      0.787594338939809,
      0.987219019841217,
      0.897899906777827,
      0.823054697223716,
      0.809325498461628,
      0.991848973283181,
      0.806928697648532,
      0.769390802440208,
      0.814365659100715,
      0.829139583916992,
      0.766873386550141,
      0.829612803213856,
      0.933817174275793,
      0.805330686498156,
      0.854020924269758,
      0.8417382520234,
      0.875109402903023,
      0.853650687859002,
      0.857385949132884,
      0.768657414600787,
      0.839319963091934,
      0.836801133269458,
      0.807731393547602,
      0.867458960778176,
      0.791422623401276,
      0.852190167893684,
      0.858973109742997,
      0.73943770681124,
      0.988222150463986,
      0.828109991797792,
      0.893822856527528,
      0.796971401829082,
      0.817995886971559,
      0.679363250855559,
      0.821293971584269,
      0.789082926615251,
      0.73294068780312,
      0.826437407305236,
      0.763253410198512,
      0.821174785951634,
      0.841067868324621,
      0.791770034119233,
      0.853339013202759,
      0.733011032092378,
      0.890235656769233,
      0.791906896564722,
      0.850032485619414,
      0.817422309876153,
      0.873261055755785,
      0.702044340612754,
      0.710131700337471,
      0.838006110040548,
      0.843527743920815,
      0.847703914043055,
      0.849575416548046,
      0.946123032952964,
      0.800269578979426,
      0.825290148599212,
      0.86728803078484,
      0.923968873542254,
      0.823930554082969,
      0.777215886522345,
      0.817637728752756,
      0.898795996362938,
      0.618911975574944,
      0.81676539889405,
      0.982145088710648,
      0.828621183969779,
      0.806742019891242,
      0.947589019335013,
      0.969340638545019,
      0.825763574116711,
      0.810387536675997,
      0.971479471041429,
      0.841280639057464,
      0.794872782217948,
      0.838461350978708,
      0.986156170122014,
      0.827391324293411,
      0.841331829178692,
      0.870630058242629,
      0.7460164699237,
      0.788589310986494,
      0.827555756625771,
      0.849890600277662,
      0.85688471098225,
      0.885200184209286,
      0.800790899893202,
      0.822133877588212,
      0.733959056121423,
      0.840711521816944,
      0.775149257323251,
      0.756637624364217,
      0.826809560644547,
      0.81728896017548,
      0.708636824086114,
      0.746584434476232,
      0.923175686958241,
      0.820228846016639,
      0.824993997050774,
      0.864998018202829,
      0.888774963499108,
      0.860895020851119,
      0.845623972424412,
      0.984998070758539,
      0.87526459915095,
      0.790685683725514,
      0.788143661252595,
      0.847452953061562,
      0.730811994771539,
      0.876243373018078,
      0.812901046135422,
      0.826135844059946,
      0.853557067265791,
      0.869324932141815,
      0.891793139671648,
      0.829057638325511,
      0.832944017708103,
      0.878692213506419,
      0.99489652182249,
      0.891563180075139,
      0.760137314335063,
      0.813377250972842,
      0.800697609598261,
      0.853203710762452,
      0.823564735274085,
      0.738539122933645,
      0.82172276141146,
      0.78665383709877,
      0.89027586700919,
      0.838083267327134,
      0.855989119486518,
      0.752614314380508,
      0.84870383816486,
      0.99999999999875,
      0.916458164649306,
      0.851169761520804,
      0.790606701751893,
      0.857529394782703,
      0.852178145482203,
      0.740915205069437,
      0.840529557599079,
      0.729055556385851,
      0.892334610343887,
      0.77779560906445,
      0.820271770491846,
      0.732881726499074,
      0.817945076083623,
      0.776832644434445,
      0.672031301263726,
      0.83374971228565,
      0.804737061189908,
      0.81311355682073,
      0.82151386425115,
      0.91265281258563,
      0.793963278028142,
      0.804891929841632,
      0.868480508016603,
      0.880056598775048,
      0.845695956121983,
      0.813988795883526,
      0.981123543619203,
      0.852825332219393,
      0.722893056352989,
      0.843642360635692,
      0.962151177446871,
      0.851808624509799,
      0.833000021605642,
      0.975560623009794,
      0.935863414458437,
      0.868844372758213,
      0.841343437478387,
      0.991205303803497,
      0.822551322350961,
      0.770923778767943,
      0.787712821008539,
      0.985762427327357,
      0.676941100044805,
      0.845521793027966,
      0.929910686375069,
      0.817051631635573,
      0.769565177404539,
      0.759169045003544,
      0.963121146488586,
      0.813526511510396,
      0.858380334964417,
      0.873077334703692,
      0.830834273248265,
      0.778918128305841,
      0.830161104326806,
      0.876533504833358,
      0.833185679633107,
      0.863248794148908,
      0.851819806097095,
      0.692890280678284,
      0.774639398444945,
      0.886767576268317,
      0.859842219060108,
      0.815818719959997,
      0.976983368362246,
      0.882793526388755,
      0.825050528788022,
      0.769586439074712,
      0.957416278607595,
      0.8061274620156,
      0.763276721114081,
      0.812925347803756,
      0.831880142443458,
      0.737554996307953,
      0.827094111441717,
      0.988932153200022,
      0.802569064169725,
      0.793296597589553,
      0.899282152849409,
      0.892129199076927,
      0.868790590225941,
      0.849228525625483,
      0.933910482643745,
      0.846470511456137,
      0.843239138589299,
      0.831040912679921,
      0.870932626560123,
      0.761507820711133,
      0.850876260242069,
      0.835528077033819,
      0.772188211863744,
      0.934284081153827,
      0.849011405707243,
      0.886692430167253,
      0.825345302177833,
      0.831858278284579,
      0.631802580407561,
      0.811720953329648,
      0.787774841778975,
      0.771024045156286,
      0.831116750974586,
      0.775015262731467,
      0.82160787875603,
      0.834886248932371,
      0.708697076306234,
      0.966771574666085,
      0.777927449734221,
      0.89244422002699,
      0.822107192595427,
      0.848337652117214,
      0.811498558932865,
      0.77167326517637,
      0.791141267578873,
      0.692514009725861,
      0.855472964423992,
      0.825909121167527,
      0.85219690644459,
      0.849787068772369,
      0.795030041456845,
      0.845504506511147,
      0.774734711208002,
      0.896769051175714,
      0.850082960865819,
      0.816515164127705,
      0.784428104751341,
      0.806668011759926,
      0.836051271389207,
      0.774698650994208,
      0.821440217143379,
      0.921164274919153,
      0.832544735231531,
      0.809448185258629,
      0.697373895869916,
      0.904449774880839,
      0.817257394322902,
      0.885752820610452,
      0.981861874463654,
      0.853227679032911,
      0.803278346025988,
      0.784808143120958,
      0.855642369150385,
      0.765692907686999,
      0.85950370289604,
      0.973578060797246,
      0.827933511557404,
      0.775976794409937,
      0.786231428933244,
      0.988872759848625,
      0.856438295848407,
      0.887327209681722,
      0.858719267193717,
      0.814103027479218,
      0.745731758833332,
      0.751754596908699,
      0.784555415830412,
      0.764262629878059,
      0.837012306664412,
      0.81412882394412,
      0.75415614104435,
      0.738673151159792,
      0.839672462073175,
      0.823017344625353,
      0.819191294657342,
      0.875400320537505,
      0.898579912978805,
      0.858684293299286,
      0.785407527911806,
      0.920843013341851,
      0.819794934345944,
      0.763630398523552,
      0.81463077566839,
      0.841655957438992,
      0.709857603314656,
      0.836434229917958,
      0.795844496561167,
      0.855348167824538,
      0.852916888576968,
      0.878619416651859,
      0.88985901481715,
      0.863239775804409,
      0.859341021169482,
      0.832012884084362,
      0.819144835688642,
      0.777072418183608,
      0.83348364606463,
      0.835600805748445,
      0.783849455621622,
      0.834249115349658,
      0.824029896726628,
      0.837255904144501,
      0.832600616903469,
      0.878990961193433,
      0.877237643927912,
      0.859361067310426,
      0.872205156271619,
      0.736545392742064,
      0.964901352362791,
      0.876152074353364,
      0.860186000470079,
      0.857047742049159,
      0.801402244176185,
      0.849785184683412,
      0.855246539298237,
      0.802242938309685,
      0.850058703178668,
      0.923851228233954,
      0.869625075725623,
      0.78338314665328,
      0.802675523091254,
      0.675556949811069,
      0.819462249130398,
      0.787208897374621,
      0.726736725467019,
      0.832404208899234,
      0.765240717110122,
      0.823303659510869,
      0.824642647267689,
      0.831145692410073,
      0.789370747386767,
      0.734848393627677,
      0.89294381616646,
      0.809971204348796,
      0.853303575881176,
      0.822108857498606,
      0.917681520649876,
      0.719449193509342,
      0.708868860555628,
      0.845586632821928,
      0.890074454797104,
      0.855999113672901,
      0.849233128185015,
      0.973199604631628,
      0.848765554655943,
      0.858345605148438,
      0.870997105487864,
      0.959956897216475,
      0.818189663034845,
      0.785056428592045,
      0.783696780105893,
      0.822820536836317,
      0.640294335746626,
      0.830396125959163,
      0.984869416995849,
      0.818710084146585,
      0.783112152521073,
      0.732602111391721,
      0.986694846153382,
      0.818959479661499,
      0.884707314765507,
      0.929079411617879,
      0.844908780477205,
      0.781761574126131,
      0.760983760435646,
      0.819854539966259,
      0.812317488524843,
      0.850936797335052,
      0.837954699135732,
      0.76681077807473,
      0.775083188143425,
      0.820238196686043,
      0.866958417568368,
      0.854865652040232,
      0.883931564981919,
      0.829022563853317,
      0.826569769337431,
      0.724164154883211,
      0.881696216252533,
      0.775153486737544,
      0.740557375634136,
      0.829353829113041,
      0.814403912951714,
      0.715930134576247,
      0.76242306845452,
      0.949087110060951,
      0.817493422697548,
      0.823372996147998,
      0.857371245522336,
      0.888118401217187,
      0.856435807063527,
      0.856528580003433,
      0.993833094024283,
      0.901909477249905,
      0.8077602146009,
      0.763265107074175,
      0.848737597008085,
      0.740203626122522,
      0.869039703459315,
      0.810954742522068,
      0.792743241580995,
      0.844500617566123,
      0.858749233772584,
      0.895595760141954,
      0.449863997905551,
      0.340327206945205,
      0.313920149041099,
      0.306321436109359,
      0.385839480160001,
      0.453583524757847,
      0.397263749935882,
      0.413686039563415,
      0.38283270964158,
      0.393352079155244,
      0.434324201393496,
      0.413627343201117,
      0.418752116180439,
      0.391554244469245,
      0.463746463586435,
      0.416720316263089,
      0.449307222610009,
      0,
      0,
      0.453802722232061,
      0.476427620125294,
      0.538665620109596,
      0.477033287224313,
      0.424542902927224,
      0.559421049283041,
      0.420681147177072,
      0.402400251583153,
      0.401738000998718,
      0.456417923991632,
      0.40154549786056,
      0.542636120366719,
      0.423013530179496,
      0.564289149218297,
      0.855554861568276,
      0.498223402821797,
      0.531023028095088,
      0.52434477833298,
      0.390024252324447,
      0.445133268262619,
      0.537424991999152,
      0.95826984561048,
      0.544676119702062,
      0.612242791983469,
      0.516561284312391,
      0.478026972997064,
      0.46811264020477,
      0.528949203459522,
      0.976354679633914,
      0.888028243573855,
      0.82599407585332,
      0.83975619271423,
      0.981232715258714,
      0.837873475470079,
      0.906515946239863,
      0.913617947978512,
      0.767621840773433,
      0.820265283337785,
      0.77749685671741,
      0.952958636135281,
      0.888251184931071,
      0.76070813702176,
      0.81596479997873,
      0.71287271988615,
      0.638049285994109,
      0.722496755552172,
      0.751621206993866,
      0.696808782800086,
      0.722264531854699,
      0.72807525062623,
      0.594466450088899,
      0.687443248786924,
      0.837028751476052,
      0.730008665607763,
      0.672062760236191,
      0.974926875107851,
      0.846704844775992,
      0.896779139922895,
      0.881470895097715,
      0.947052272329111,
      0.880907495346625,
      0.84270346346136,
      0.887666575850609,
      0.905227044856363,
      0.85055473256966,
      0.905425545999513,
      0.987047954047549,
      0.856485292283015,
      0.779780258879309,
      0.819195809304774,
      0.788771677986615,
      0.720668064214717,
      0.718002078648624,
      0.859968961475774,
      0.709054528073248,
      0.698933252956659,
      0.669302699988336,
      0.735494011199629,
      0.667258942951975,
      0.714341770502759,
      0.722925624609775,
      0.684375204293498,
      0.907525278618762,
      0.767859481132026,
      0.838062121013171,
      0.870907098078432,
      0.894629810676808,
      0.761740269515691,
      0.893352880755089,
      0.862233948556884,
      0.802184035389448,
      0.901382341964801,
      0.821439014388362,
      0.893643719653844,
      0.916271763092484,
      0.637578700591661,
      0.92197092702696,
      0.745451268077746,
      0.804897573301704,
      0.612273822201793,
      0.711394624800155,
      0.687917024647143,
      0.730736020261276,
      0.615039493475484,
      0.643140401255699,
      0.707459674962913,
      0.696217256611356,
      0.705963372934811,
      0.708042638131244,
      0.824583508531197,
      0.631482521723728,
      0.69373816898662,
      0.815155787742646,
      0.789758970644768,
      0.897618671358835,
      0.854806164075929,
      0.890850885941708,
      0.781103257782761,
      0.698351006092672,
      0.893679282328059,
      0.898611077620382,
      0.901553755763958,
      0.879150399017896,
      0.980298577767198,
      0.868204617243914,
      0.90108703602742,
      0.738135199501827,
      0.973589727991209,
      0.710467979665986,
      0.663145922486679,
      0.875674041171051,
      0.966212432890773,
      0.703074625617783,
      0.706784787692363,
      0.735261644222647,
      0.733945083189571,
      0.650605327136087,
      0.685018125653619,
      0.706376925823483,
      0.719905050303131,
      0.828441102393136,
      0.775210084026269,
      0.895645361901608,
      0.810349488868442,
      0.755991506950275,
      0.842531521903444,
      0.835927433974483,
      0.904952952739049,
      0.891082310606029,
      0.798897204119106,
      0.823519372060351,
      0.79114455711332,
      0.894977357866739,
      0.900276164914374,
      0.774588503894198,
      0.803822505640901,
      0.726752213286674,
      0.72543024990489,
      0.886228173940534,
      0.757222265189156,
      0.716893504582655,
      0.680600919644125,
      0.703609389067972,
      0.60608781739583,
      0.738353858273919,
      0.677441241547411,
      0.69962458120816,
      0.724046786677633,
      0.813785938330983,
      0.836122482527971,
      0.904154173397023,
      0.90834863454422,
      0.936663322440137,
      0.921689722999571,
      0.769025412825423,
      0.817492294382961,
      0.886875649722236,
      0.874259220049011,
      0.927569445920919,
      0.894532613684594,
      0.747384918548007,
      0.897572268397494,
      0.723450672218051,
      0.804146034098914,
      0.70292560801619,
      0.713256741195343,
      0.619534276123457,
      0.895731186752789,
      0.953959683941917,
      0.795760633323321,
      0.720118377798953,
      0.673008112020145,
      0.723313808174659,
      0.71263447593692,
      0.608205574156041,
      0.707977101175179,
      0.682488743222075,
      0.838367874970047,
      0.837719770296603,
      0.893979029004718,
      0.811898826920606,
      0.890416874114434,
      0.834957910064637,
      0.672049183263708,
      0.908468823533717,
      0.772232569232839,
      0.885889104592719,
      0.895720090437902,
      0.766927597406226,
      0.813374048540355,
      0.869642789227771,
      0.782736473116618,
      0.722301090104527,
      0.704311341553252,
      0.683757018072867,
      0.885958789709255,
      0.711362165705629,
      0.600491764716686,
      0.718336585665587,
      0.845758958954939,
      0.712036099376211,
      0.693672212687159,
      0.971899124798744,
      0.805266143868818,
      0.732215451648381,
      0.778550125423157,
      0.947344243562232,
      0.897226024255729,
      0.843083370066436,
      0.860794217859632,
      0.915521302899737,
      0.758456068220991,
      0.920497675624064,
      0.986731582044667,
      0.856638260817968,
      0.84315476928693,
      0.835209735892724,
      0.986280013727325,
      0.886941173136387,
      0.71235354836694,
      0.870400044017103,
      0.695724172277198,
      0.639598517302114,
      0.655033148995624,
      0.91337061861272,
      0.706440857922589,
      0.733479288337121,
      0.709717570673607,
      0.706391535566712,
      0.631942159287946,
      0.727798855292542,
      0.734702054299046,
      0.696993783763323,
      0.875328093074596,
      0.831023412614707,
      0.89981781842875,
      0.838095846160421,
      0.837164510800529,
      0.87978828438246,
      0.835456124509293,
      0.889850882646024,
      0.909002568513966,
      0.81822432149344,
      0.897332500059117,
      0.947264023730108,
      0.879757207725428,
      0.807155735148246,
      0.961815087125304,
      0.809864112564418,
      0.735338048886695,
      0.706197280070414,
      0.97557894994813,
      0.706880687512756,
      0.700480528026383,
      0.69475982440581,
      0.739864836786217,
      0.628530213462548,
      0.71370238563431,
      0.861404295405113,
      0.691587453071539,
      0.797076773153858,
      0.791107673386856,
      0.831807079906813,
      0.899245980079624,
      0.906018681271312,
      0.701478802914797,
      0.885764194969031,
      0.860185113696008,
      0.843065827770628,
      0.906024145953896,
      0.849301978305863,
      0.894981464017572,
      0.907986047663922,
      0.649454538800957,
      0.969028733120745,
      0.738452183227407,
      0.807104769662903,
      0.674568707214246,
      0.712218276070442,
      0.675149031450791,
      0.659273737050867,
      0.661652294189961,
      0.616674411801557,
      0.732083853482148,
      0.690306881403941,
      0.711690870073228,
      0.709457441690648,
      0.691580723093214,
      0.717924081202725,
      0.653292761084678,
      0.843612252566253,
      0.781161836159016,
      0.891444007794095,
      0.8610082008899,
      0.879362967181415,
      0.902166917512372,
      0.861698839695661,
      0.897890322801047,
      0.797574282645172,
      0.905706102572233,
      0.885485045615303,
      0.774995776833381,
      0.788534082662345,
      0.89267370156934,
      0.801923388286777,
      0.89585062075211,
      0.719686744262045,
      0.672155884289461,
      0.681634811090195,
      0.729956511374318,
      0.635037048664882,
      0.736103671721601,
      0.983678168290331,
      0.710227087180532,
      0.642168584477637,
      0.649115095330832,
      0.962785982855157,
      0.714871813347754,
      0.830971784215654,
      0.935879966652181,
      0.891186876807422,
      0.817131331436965,
      0.801483517301805,
      0.860125761486805,
      0.821249887489453,
      0.912370649101514,
      0.879400770693259,
      0.769439474513387,
      0.810784318081606,
      0.753610626003418,
      0.915401332084431,
      0.895566777883034,
      0.792846939492131,
      0.817712252805723,
      0.726777313024559,
      0.648806707822199,
      0.81862621555361,
      0.707693596083923,
      0.648802034475162,
      0.702287445847597,
      0.700127863867238,
      0.618993279424025,
      0.718491965078968,
      0.649480338897681,
      0.719183442664198,
      0.718587505592072,
      0.821184773584562,
      0.835992891004668,
      0.938305788029171,
      0.934759418730775,
      0.819952268017495,
      0.893402484959794,
      0.850106780334493,
      0.906658410723446,
      0.908703490253452,
      0.860996459159403,
      0.909071646810706,
      0.89655027112844,
      0.86726486313853,
      0.906458426301182,
      0.838404825665909,
      0.792636363409012,
      0.722703367877918,
      0.732547160603732,
      0.603193573525835,
      0.982872113291189,
      0.737550827883784,
      0.707439775190246,
      0.721661111032789,
      0.690672889811877,
      0.713419865276501,
      0.714758057592791,
      0.899741366897205,
      0.727016253835592,
      0.785574553557701,
      0.812994427846311,
      0.853254916200084,
      0.879297277369385,
      0.756414159915238,
      0.894390547214189,
      0.863564266207028,
      0.7773394693365,
      0.907104690937038,
      0.806784333145986,
      0.897427022015405,
      0.899101923052959,
      0.675724379711435,
      0.874732638845133,
      0.790122722519713,
      0.807011601683037,
      0.623756206259619,
      0.716856434095822,
      0.697726293586147,
      0.779616545395005,
      0.621882981009039,
      0.626784075213979,
      0.713532443358609,
      0.744660113542434,
      0.712780831065024,
      0.712690072766535,
      0.880008349013845,
      0.687620305936298,
      0.729457521684985,
      0.821152910474667,
      0.849723328436151,
      0.893301726684638,
      0.859295364391472,
      0.860055622480537,
      0.898374884257104,
      0.706467886891642,
      0.905272021534364,
      0.94920344632973,
      0.891867962062656,
      0.857819171889445,
      0.8012975939033,
      0.92065482137194,
      0.894640587097347,
      0.800917316269468,
      0.969871974915339,
      0.703496828286243,
      0.644516718913728,
      0.709229947008482,
      0.700300674304914,
      0.718287838903333,
      0.72045919910477,
      0.852024590264111,
      0.76425190457038,
      0.630588733554984,
      0.656127022347413,
      0.906677147644533,
      0.714636637810949,
      0.827663865177718,
      0.777728754924314,
      0.901146017267342,
      0.799792312561671,
      0.766024778935918,
      0.820943263418028,
      0.814336250524389,
      0.905116546615331,
      0.888880683843927,
      0.80117778116015,
      0.83765207669269,
      0.827740148140262,
      0.892061017943193,
      0.897630855045645,
      0.77771732194973,
      0.805408363814716,
      0.721394059452272,
      0.72945309551463,
      0.930266922429535,
      0.78133409451922,
      0.708753761063242,
      0.637835011589084,
      0.709700032138165,
      0.614958872493753,
      0.741971629463899,
      0.676850664440431,
      0.673470041784635,
      0.715892335659384,
      0.803764491657363,
      0.841075820967235,
      0.450505186807118,
      0.438260903609512,
      0.393206679547494,
      0.363479406900917,
      0.488202291228549,
      0.452098492239477,
      0.399765393237195,
      0.357145831229635,
      0.426102618678815,
      0.391751515845781,
      0.45317046977252,
      0.423936139140156,
      0.400892717377713,
      0.364450370787777,
      0.478753713072664,
      0.430864799342367,
      0.477455475701428,
      0,
      0,
      0.459519849327823,
      0.515837610883461,
      0.499831913259345,
      0.418388746838742,
      0.383367610876874,
      0.582785108769001,
      0.47937474541241,
      0.391810358321628,
      0.357986680131799,
      0.434797376949116,
      0.391089802176782,
      0.526438251377357,
      0.451189890158005,
      0.643462771867953,
      0.645438412284788,
      0.560355182623857,
      0.52267964126997,
      0.585808922370504,
      0.465212747597767,
      0.457348574559554,
      0.596576337475236,
      0.810847728954556,
      0.585261764210502,
      0.507531787345828,
      0.564243048088284,
      0.530523698350361,
      0.532273383585481,
      0.570028080707017,
      0.915010835160948,
      0.704218298129769,
      0.645237858849632,
      0.659998872824774,
      0.883968267701445,
      0.657425537013878,
      0.725158301973922,
      0.856725818871448,
      0.682256961125324,
      0.640848722548237,
      0.606154334501903,
      0.913491298960813,
      0.708407670823017,
      0.575499101969127,
      0.585250220793009,
      0.664674341390807,
      0.593954182745244,
      0.510729349543526,
      0.698293263823891,
      0.640289240139487,
      0.668036978039153,
      0.447687836846994,
      0.578559861725694,
      0.578761626897117,
      0.631431041252382,
      0.581530802293154,
      0.615529687696198,
      0.845577074820564,
      0.486562354850776,
      0.710039019744486,
      0.726660946414595,
      0.78666300980348,
      0.702197953148058,
      0.660754675574144,
      0.703981614383861,
      0.728319553256887,
      0.69761613422483,
      0.726259887903279,
      0.904485986157123,
      0.682185036118464,
      0.621406059436104,
      0.815027394539219,
      0.569135287775058,
      0.635185733526585,
      0.485000764099879,
      0.87766923394812,
      0.630187862986623,
      0.477618204633772,
      0.550080387759688,
      0.679968713963126,
      0.591905172474588,
      0.624001873712667,
      0.521297912460812,
      0.53533313909476,
      0.733541282773218,
      0.502248248819582,
      0.545102549702415,
      0.687488554857071,
      0.71341777162025,
      0.601315024890703,
      0.714354990524346,
      0.685433667621439,
      0.631669164148663,
      0.722212418071954,
      0.635281006153398,
      0.706291453984903,
      0.737028420939404,
      0.4513156081862,
      0.923445650651344,
      0.64830017850943,
      0.655955679357854,
      0.543038239003162,
      0.562590961935625,
      0.640485224547359,
      0.559524298117839,
      0.428583111991024,
      0.538876897839027,
      0.687515009994553,
      0.498013688012395,
      0.58149002222944,
      0.442531654975606,
      0.626706415203721,
      0.578742563543142,
      0.503152224086425,
      0.605236086699499,
      0.60652249565067,
      0.719121995108156,
      0.683837889735425,
      0.706300866937609,
      0.550382130187445,
      0.538714513761042,
      0.707546373839051,
      0.711632026709115,
      0.72178484252954,
      0.696186099891067,
      0.90746660239383,
      0.642809098766166,
      0.716520982928629,
      0.572524555912077,
      0.86950450713204,
      0.677753111801089,
      0.60340311618404,
      0.890193262861989,
      0.827058967037984,
      0.621569029528917,
      0.689990372578902,
      0.62315171477332,
      0.655130284762262,
      0.557938139283351,
      0.582814335878361,
      0.573990051569203,
      0.589549727797384,
      0.589070060265084,
      0.764173564636352,
      0.707038460621346,
      0.62881850021223,
      0.747450799406832,
      0.781805232584813,
      0.701068356290926,
      0.739582866893628,
      0.708586870983813,
      0.676645221094761,
      0.644944760142114,
      0.615624355432963,
      0.713443250060179,
      0.728983984889048,
      0.588567057400628,
      0.502849101974548,
      0.660910141322092,
      0.479483932976796,
      0.70005650139084,
      0.727730226013575,
      0.780662395499918,
      0.630571925894223,
      0.514059973541174,
      0.574492924964876,
      0.70503646693936,
      0.594693854759523,
      0.621096935741289,
      0.679151835638291,
      0.567113554031554,
      0.498045652663789,
      0.722291078894344,
      0.726147523326214,
      0.880274361928954,
      0.736596487892796,
      0.728472591655356,
      0.772758969850476,
      0.70014474212182,
      0.697293177115682,
      0.745244657031825,
      0.783198196964277,
      0.724718003716874,
      0.730534183135263,
      0.599606320961954,
      0.579790458911249,
      0.600706515188419,
      0.530831438865593,
      0.572878746731674,
      0.88706000228465,
      0.780103058080484,
      0.728474570797816,
      0.688957741419902,
      0.652379632531763,
      0.64957266448106,
      0.509006078507534,
      0.555353637493366,
      0.67639147717367,
      0.543477535175349,
      0.587085475354228,
      0.66725435544043,
      0.710111297155471,
      0.64831338278663,
      0.704446772318337,
      0.660452402057646,
      0.613972131044772,
      0.735474187260312,
      0.610569634646674,
      0.69953877025989,
      0.713401439301358,
      0.562019978834082,
      0.634336679960624,
      0.720124936201671,
      0.600388605832385,
      0.475014998781286,
      0.579872050821031,
      0.644285393675028,
      0.685212000606256,
      0.494123746036437,
      0.537559593308211,
      0.684368671826511,
      0.622659168600653,
      0.560461211032944,
      0.495441416954292,
      0.851692972428843,
      0.601762582095574,
      0.520710678268531,
      0.600109360365409,
      0.78352135401753,
      0.719168955799825,
      0.660618080240428,
      0.684651361035006,
      0.746628518848768,
      0.604820739056643,
      0.743981284339196,
      0.90598959969362,
      0.681235475141358,
      0.661541763309657,
      0.808479267194583,
      0.893966458080618,
      0.70809941099633,
      0.530842777445464,
      0.8689832890847,
      0.675113679714208,
      0.5355439304843,
      0.489176722264002,
      0.908395241504274,
      0.643368591135628,
      0.68179882121063,
      0.516070560854157,
      0.612139637405087,
      0.487011082492838,
      0.556673036633456,
      0.705221108007704,
      0.641761876393067,
      0.679265046700513,
      0.574222160679939,
      0.723369811470277,
      0.650304842022546,
      0.63936993925589,
      0.690571032571958,
      0.639585816242946,
      0.713592893364267,
      0.736505740563103,
      0.649569734841305,
      0.744088119966785,
      0.781638308263817,
      0.703382858915489,
      0.634723073378505,
      0.916795936115196,
      0.567903679056499,
      0.6680419851945,
      0.482969926577456,
      0.908444711855894,
      0.596652969897374,
      0.527384800614938,
      0.565927044081249,
      0.646381043473766,
      0.569358853083001,
      0.624531993963413,
      0.876152643704192,
      0.661080984317036,
      0.577248218581181,
      0.531952769506476,
      0.578873801614864,
      0.728616892568851,
      0.725052834030066,
      0.588404550408101,
      0.708949941888358,
      0.668950257204349,
      0.667313483351442,
      0.727289571405897,
      0.679366879148828,
      0.707775060867765,
      0.721985723583663,
      0.761533916339843,
      0.874140696309901,
      0.610496768410476,
      0.562779728836222,
      0.584616910633646,
      0.564510234494151,
      0.622999950868109,
      0.558711155223093,
      0.54800136819384,
      0.565158960833846,
      0.721326763210604,
      0.635926402067333,
      0.596537083576253,
      0.5758678708731,
      0.704048785901857,
      0.690777918306433,
      0.542044283748779,
      0.623578554092886,
      0.607194013226286,
      0.708626020132741,
      0.699364848507282,
      0.712343917234525,
      0.725307556084477,
      0.874893781036493,
      0.714219172050149,
      0.625182835416594,
      0.72194564736074,
      0.705915869999598,
      0.618561815813747,
      0.576947410565248,
      0.710680317749618,
      0.558430181718702,
      0.707540377242697,
      0.631569018968772,
      0.626406091973697,
      0.669368804372025,
      0.668197517799204,
      0.616725787528833,
      0.741056627116061,
      0.874240594358433,
      0.600005601104426,
      0.600571470906617,
      0.560160430324501,
      0.822199873984461,
      0.555938969864827,
      0.595173893140966,
      0.914624608231555,
      0.710578269412374,
      0.633963669728641,
      0.790570347720704,
      0.705178820714433,
      0.669458062843512,
      0.734672814538103,
      0.761019938876287,
      0.712484485152487,
      0.628452390797258,
      0.590748196109702,
      0.842929788482742,
      0.717401387780356,
      0.602539668539375,
      0.577274591069648,
      0.653459844987481,
      0.588251327753916,
      0.776120120647099,
      0.734797067107614,
      0.682309259370998,
      0.64596166810371,
      0.510476802778099,
      0.648369542818828,
      0.676785339262425,
      0.567142283145624,
      0.534755646940722,
      0.676638426195073,
      0.562074816261697,
      0.496687591144183,
      0.756645127090964,
      0.757558578525673,
      0.724519724865781,
      0.715436195599621,
      0.667086025594546,
      0.71782533617247,
      0.731388098359204,
      0.699690099572503,
      0.73009470404168,
      0.715116752548331,
      0.713958110200932,
      0.742823435728065,
      0.684234682966956,
      0.604342183307273,
      0.628488137923699,
      0.521932376882162,
      0.530777265703869,
      0.902386177643422,
      0.571963867333549,
      0.510624577140971,
      0.663671340319086,
      0.64532104430151,
      0.62279556274489,
      0.407818887916657,
      0.89972026731544,
      0.712708043974381,
      0.565184977676873,
      0.610160308251064,
      0.675758114324597,
      0.702994837022636,
      0.616806697800737,
      0.711712926214123,
      0.699430485969917,
      0.621105805926818,
      0.724846870299694,
      0.621743427262604,
      0.716956525233645,
      0.716789483968486,
      0.481827796800907,
      0.879124218458193,
      0.658928747199079,
      0.680787982818141,
      0.459943934442139,
      0.606138106885762,
      0.651626595776414,
      0.583672497454289,
      0.454273536805011,
      0.505876137636784,
      0.700625625641797,
      0.522435519529904,
      0.519882203834087,
      0.5782735108744,
      0.672727167979272,
      0.536252354344286,
      0.44624573055934,
      0.614055639526301,
      0.619962783722978,
      0.714097914343342,
      0.676180873542338,
      0.701059924006501,
      0.732438457434312,
      0.551430356270579,
      0.735274352559567,
      0.796557854627345,
      0.704263905208695,
      0.691630125843457,
      0.624851656714054,
      0.73499144846163,
      0.713443933696216,
      0.639322850959902,
      0.90625162527238,
      0.612567454037213,
      0.579705979347604,
      0.799942839624183,
      0.607217623250464,
      0.651665272594914,
      0.714851809433555,
      0.868556203164854,
      0.656751380288842,
      0.554894315042597,
      0.427996575365744,
      0.907284087710312,
      0.617028268262194,
      0.586375608486018,
      0.469555612687605,
      0.724967320126458,
      0.61346896262328,
      0.758005609524945,
      0.77144624569473,
      0.68712873652484,
      0.747738319071493,
      0.707270890742117,
      0.660327567438527,
      0.651517251737627,
      0.648100133494764,
      0.716459090881925,
      0.720165351965673,
      0.563937031809631,
      0.559037460926542,
      0.654825048692536,
      0.496639804411898,
      0.73859895709854,
      0.736873307079793,
      0.755469934805499,
      0.649943659267494,
      0.550919047029874,
      0.577047003198207,
      0.748703099265029,
      0.55113140216911,
      0.566268268174136,
      0.681240165733912,
      0.530427208889283,
      0.477881639514372,
      0.482210777326922,
      0.491723296008388,
      0.418969170700005,
      0.392350071432969,
      0.512908229190177,
      0.444054431576723,
      0.457232202850255,
      0.420788504616901,
      0.520559873355332,
      0.395992382359972,
      0.483502153095907,
      0.500349731764007,
      0.427034417924158,
      0.471693538612108,
      0.439543655233493,
      0.340010616570801,
      0.485485678063033,
      0,
      0,
      0.764777494248609,
      0.746748933266505,
      0.675623191374728,
      0.467754735005576,
      0.497804841587825,
      0.692363498944033,
      0.798176169371074,
      0.781305995259673,
      0.773269168825959,
      0.746341126269254,
      0.590201494438622,
      0.554548650230368,
      0.501303459522936,
      0.74410892079108,
      0.578094064953826,
      0.706368512605991,
      0.628551277805765,
      0.660631718901872,
      0.538842406145676,
      0.492702890446363,
      0.635242462886076,
      0.649196067021014,
      0.710280673150885,
      0.605874689172692,
      0.683867169540957,
      0.64574603949427,
      0.673741130280163,
      0.712510707518106,
      0.885435228876944,
      0.698664920263064,
      0.672130377374554,
      0.676392341032446,
      0.833600317157037,
      0.627487767393364,
      0.608000788696068,
      0.877077587007567,
      0.721450805468788,
      0.630587135863835,
      0.677882371460252,
      0.877000021631609,
      0.59142619313313,
      0.579872864671921,
      0.514523811064665,
      0.647418225655771,
      0.60419055258648,
      0.597152090111474,
      0.751303073491349,
      0.651206881700177,
      0.614539354613312,
      0.460798767354098,
      0.494057565206219,
      0.591434661971462,
      0.6041102549121,
      0.686666703632387,
      0.633921624070093,
      0.735752178362084,
      0.537917086320459,
      0.539427496083981,
      0.598868597596431,
      0.673923733711287,
      0.725498475198966,
      0.748618776493677,
      0.731295646301867,
      0.583427595190041,
      0.570273862053529,
      0.555765907125992,
      0.858717570829169,
      0.73418847666303,
      0.519554981107054,
      0.844452897874197,
      0.596203467791466,
      0.580859897894041,
      0.541452709525264,
      0.879776410855516,
      0.684989839349374,
      0.683689867682199,
      0.635011737027455,
      0.661884570087299,
      0.607533147200915,
      0.606185081890303,
      0.623713593664237,
      0.634833661458819,
      0.658455164381713,
      0.603927027452908,
      0.601903083839689,
      0.661902682333904,
      0.533413111745142,
      0.515870144526551,
      0.611936680644728,
      0.706187566701593,
      0.672807669536921,
      0.721570666359282,
      0.675953560895507,
      0.655804834183783,
      0.563417944958678,
      0.56581455101724,
      0.904139575980545,
      0.628870033575416,
      0.685847496843619,
      0.597217798542727,
      0.615926325074821,
      0.615160318089872,
      0.483772861202244,
      0.416018578217789,
      0.633280534948297,
      0.687890517509168,
      0.575839579779227,
      0.661041146299138,
      0.5887859279772,
      0.537444215884176,
      0.463905654782432,
      0.525402236720656,
      0.601832573046075,
      0.62795546760748,
      0.693601285351097,
      0.680679818257363,
      0.654215788375929,
      0.436341383619038,
      0.572103817159842,
      0.657537444263836,
      0.652125265989648,
      0.740454132897656,
      0.671125216337061,
      0.858065152427956,
      0.552997856875012,
      0.526335753679352,
      0.58694225961958,
      0.779779806205147,
      0.685944197306743,
      0.648757908954079,
      0.887175353178404,
      0.680644380401861,
      0.595722057450761,
      0.553870123756194,
      0.67717988110479,
      0.712235616849039,
      0.602437441798825,
      0.649894508824554,
      0.642022900448608,
      0.613904899382895,
      0.585656311617924,
      0.7931018639188,
      0.700376147195854,
      0.663047018760828,
      0.792668341322584,
      0.782739059017754,
      0.720803520200727,
      0.657176139634773,
      0.476739934684259,
      0.595410926540446,
      0.648830484128678,
      0.649745259935935,
      0.725882518005077,
      0.608403665347116,
      0.558126304750332,
      0.55698308899312,
      0.52804253259952,
      0.533286923603829,
      0.661499568723787,
      0.716173416911489,
      0.810355120493641,
      0.677623536705311,
      0.577674456668839,
      0.472094716638024,
      0.7812837965626,
      0.602546795909247,
      0.687805024178071,
      0.669699914176279,
      0.616406131830362,
      0.481997303759174,
      0.549303258376152,
      0.483787442541829,
      0.852771248963942,
      0.670385891876202,
      0.758178751270766,
      0.833902581413014,
      0.698418695301211,
      0.577362523197139,
      0.635453725649112,
      0.788004023058748,
      0.73700505604962,
      0.64622623518948,
      0.552791614676725,
      0.653589381554518,
      0.62810204564988,
      0.606768666910403,
      0.472186126454087,
      0.873958785011189,
      0.659574258578511,
      0.721754078704256,
      0.658959496081403,
      0.60455769984238,
      0.629951039489412,
      0.598624393949968,
      0.481386332344932,
      0.639851672611196,
      0.610618797716156,
      0.598602371305573,
      0.68467219340781,
      0.656882760386008,
      0.548531506043505,
      0.628092070017465,
      0.525158617192114,
      0.668581704937931,
      0.739946630242758,
      0.656428929718797,
      0.695689760489127,
      0.619318458891235,
      0.423646905081692,
      0.564541196484008,
      0.564086194705649,
      0.675776313925147,
      0.590960437185484,
      0.641673159619396,
      0.635516004362454,
      0.560862133636352,
      0.423887674279868,
      0.517515411506558,
      0.658285961773236,
      0.558349715238281,
      0.664199589608692,
      0.633575552915669,
      0.745423224569994,
      0.484445829737066,
      0.664267752422821,
      0.613234143935406,
      0.734232774007546,
      0.691005433619876,
      0.683304908065685,
      0.676765402476609,
      0.626915975894539,
      0.585458183391226,
      0.619491475485987,
      0.869684995360061,
      0.742703935859312,
      0.638203446600555,
      0.834124952370063,
      0.815586702021192,
      0.564276237544864,
      0.481371320631114,
      0.868905644708307,
      0.693792193005404,
      0.632255306118643,
      0.614845151928117,
      0.895785297459451,
      0.630056192785999,
      0.570689961601864,
      0.533878979675553,
      0.618453565594424,
      0.581086947737453,
      0.571540669201239,
      0.753688480396985,
      0.642554073535284,
      0.573557970385811,
      0.557744019429846,
      0.568974660090355,
      0.662482902735372,
      0.613184140460041,
      0.715256060273512,
      0.758181258637427,
      0.706671349080562,
      0.635604291395106,
      0.540481396419201,
      0.568235974565962,
      0.620067492462371,
      0.735611722123001,
      0.549807438077347,
      0.891453559358896,
      0.649873595643766,
      0.57467105213647,
      0.506685069129017,
      0.865911360147171,
      0.675777596401935,
      0.683495632391579,
      0.652989874937614,
      0.61566719912649,
      0.577937487092707,
      0.494226075917588,
      0.868120879230701,
      0.695902580932266,
      0.570116369795653,
      0.632732185758602,
      0.565246590528733,
      0.576167915178204,
      0.511053821727228,
      0.607197116346023,
      0.714925002272012,
      0.726193048769741,
      0.693969586138286,
      0.75640852427885,
      0.66675621093009,
      0.532397322095395,
      0.523879246360618,
      0.755893978134372,
      0.804215817729428,
      0.561643944284202,
      0.715315967657845,
      0.595525128075762,
      0.62971837770378,
      0.599933721415272,
      0.460534543998653,
      0.594177800244665,
      0.609933879422573,
      0.710623376006403,
      0.635802488387533,
      0.645242939779437,
      0.605783559079211,
      0.620335725878815,
      0.54802326291812,
      0.620332256198882,
      0.623823392725789,
      0.660270737472647,
      0.681209583954383,
      0.682033355259081,
      0.661041434668924,
      0.60493906874993,
      0.877575069451775,
      0.707499687654903,
      0.644185262566195,
      0.724533319711734,
      0.694310806587454,
      0.612236135551124,
      0.512287441410337,
      0.50618860975274,
      0.666166739322525,
      0.577411236735801,
      0.679739096528459,
      0.658255730578495,
      0.668935051141686,
      0.630890814677784,
      0.649306893065582,
      0.644357125280465,
      0.777384006729738,
      0.692303128759995,
      0.669690776645342,
      0.621372408028756,
      0.672968946611968,
      0.627895723736034,
      0.604622249548076,
      0.901213494192272,
      0.712825034425252,
      0.656341786245061,
      0.836556518283709,
      0.690332875094445,
      0.688646436478809,
      0.639761919025189,
      0.77969445303265,
      0.699956339671249,
      0.682356306763267,
      0.683286549505801,
      0.833134825277926,
      0.606547424559208,
      0.569722374159222,
      0.550610178748544,
      0.606504313455611,
      0.589726946959525,
      0.781339934094096,
      0.817962733843949,
      0.698845469714697,
      0.666314370120262,
      0.488048272718603,
      0.683245456220232,
      0.710538136513027,
      0.631578675942408,
      0.678740272819667,
      0.653996071179417,
      0.622746686201542,
      0.440908195701592,
      0.575724952430759,
      0.566602329171912,
      0.79447233011139,
      0.749435475842797,
      0.746008426557985,
      0.757270512920492,
      0.649164716299633,
      0.600059232550258,
      0.671593325912506,
      0.675566430666073,
      0.771392458285298,
      0.654796682472282,
      0.657740296602345,
      0.619808181085977,
      0.627949974056691,
      0.56038767128915,
      0.516832330834858,
      0.834996761410341,
      0.738638187870932,
      0.576635296221958,
      0.671185765507938,
      0.64461669277001,
      0.60741067435857,
      0.571088777962707,
      0.891710469750202,
      0.704193958282923,
      0.565082020817575,
      0.604230099913327,
      0.661921345792882,
      0.565547818163101,
      0.606931025212659,
      0.608377353108552,
      0.680768330225246,
      0.670379180590737,
      0.724086139521928,
      0.674253292105811,
      0.699642222009067,
      0.540895764005325,
      0.424933722839188,
      0.870730179397336,
      0.628540940160229,
      0.696669329820218,
      0.590304514237835,
      0.629454132366459,
      0.622680668223027,
      0.533611428625042,
      0.441679926616353,
      0.618803904655338,
      0.699927921474757,
      0.544967259256407,
      0.659488153390191,
      0.601029407338127,
      0.596688091207894,
      0.474882984583928,
      0.49111915201471,
      0.616194835659259,
      0.652152043130268,
      0.672808323746727,
      0.683379089148502,
      0.688597496611964,
      0.606115160156383,
      0.619699595146197,
      0.662085851116856,
      0.65471686864037,
      0.746387211820886,
      0.687491812469738,
      0.685083949033637,
      0.59740392160141,
      0.507259556938367,
      0.580912438738574,
      0.861529105582641,
      0.693928252208045,
      0.638428066445429,
      0.826275533725025,
      0.681903882691065,
      0.598873379055618,
      0.669133605905326,
      0.857871174179577,
      0.70744669354256,
      0.629050875511421,
      0.587812411207103,
      0.902584907733252,
      0.621495810991341,
      0.621605331295916,
      0.570956552034213,
      0.647064013383618,
      0.643338170924299,
      0.780903269533165,
      0.803639253754847,
      0.745343651727727,
      0.667470344674485,
      0.463121790527038,
      0.577895081291189,
      0.665509752025812,
      0.610012518549693,
      0.715935775021653,
      0.583825504438788,
      0.557002927635797,
      0.567497298227081,
      0.579707504763944,
      0.498930636401097,
      0.658090654746231,
      0.730484152032587,
      0.806706309728457,
      0.704620649471226,
      0.576850629310928,
      0.459459234219982,
      0.760348903892334,
      0.591215765501697,
      0.679440278339747,
      0.664608088817332,
      0.628755583353936,
      0.459412068479823,
      0.548757970827209,
      0.468738320240375,
      0.449521803687914,
      0.417540821917924,
      0.521035109021842,
      0.470478132645043,
      0.568386660780434,
      0.43391062859235,
      0.582333246725149,
      0.409304240920628,
      0.527320728486449,
      0.568148765844256,
      0.448102311796947,
      0.529325849503476,
      0.485639592095651,
      0.331817675091732,
      0.507550087133201,
      0,
      0,
      0.823446752273315,
      0.797809460616797,
      0.716801418902896,
      0.509487655380458,
      0.528973935421739,
      0.747469538233126,
      0.851919704855073,
      0.838795344887244,
      0.830019508257093,
      0.791847770327264,
      0.632655994683159,
      0.587466661408056,
      0.597670048671141,
      0.810688047069461,
      0.611334054565056,
      0.764343172366023,
      0.689261477643874,
      0.713163339421112,
      0.530665717512535,
      0.527744932701973,
      0.674062732649654,
      0.700364604374906,
      0.772615800568101,
      0.66142008531217,
      0.748957245448667,
      0.693437142527801,
      0.726314688469707,
      0.6810709666292,
      0.883895091990997,
      0.759942410532285,
      0.7315851497342,
      0.740277019153828,
      0.840974536683111,
      0.653405655288438,
      0.679888993409981,
      0.887958951083608,
      0.774051009819581,
      0.690735706684821,
      0.731988066497568,
      0.891705562136841,
      0.609526692531364,
      0.510956655107488,
      0.595766346076146,
      0.727845054273048,
      0.657238252355365,
      0.655761053385732,
      0.765153419665307,
      0.709963632023829,
      0.626385138525487,
      0.517345602019911,
      0.512540369297815,
      0.663503687670857,
      0.643344853066375,
      0.747630867362213,
      0.675086427304733,
      0.740595878454961,
      0.5405309147491,
      0.575247760184576,
      0.598019733140752,
      0.713056723967943,
      0.786979783339454,
      0.805887211730742,
      0.778902395398353,
      0.618157275662653,
      0.592473641990336,
      0.613845554717116,
      0.873159916417809,
      0.794356216660406,
      0.638717091489526,
      0.848284995275541,
      0.647827505858437,
      0.561782864919208,
      0.5594321965178,
      0.8932598026956,
      0.738282147533688,
      0.743990986932873,
      0.694049684543825,
      0.710883654155016,
      0.648317736516439,
      0.657064660454923,
      0.659428120674235,
      0.710662960799003,
      0.680311338672522,
      0.69261709882303,
      0.508848122979545,
      0.701830765464429,
      0.471347752771494,
      0.574406965619475,
      0.643970981125107,
      0.769374016438527,
      0.732634487150666,
      0.782630635948786,
      0.741604462873231,
      0.695898274209264,
      0.578595383830512,
      0.567014589897477,
      0.906901408351065,
      0.638856941320151,
      0.720029752360121,
      0.65248050116279,
      0.685420297626942,
      0.657026926978141,
      0.499113391368581,
      0.456675319003046,
      0.695271287585173,
      0.750155148344734,
      0.631035464604687,
      0.716759917259877,
      0.657978965822317,
      0.531373536141387,
      0.460615113595402,
      0.61549499973049,
      0.522104606687584,
      0.687690511574365,
      0.756333625701752,
      0.738553948285552,
      0.724948889487068,
      0.429309909035106,
      0.594230528315313,
      0.651045877962948,
      0.683432032139108,
      0.79967514944613,
      0.729760515123394,
      0.857401056421701,
      0.507277741321721,
      0.571201357664423,
      0.584696384093631,
      0.79259695383895,
      0.744103280204479,
      0.705972093458536,
      0.896061195796703,
      0.696621402793045,
      0.591600528098285,
      0.52808237662357,
      0.745338354796496,
      0.767995682650745,
      0.666978237538105,
      0.708796820959893,
      0.694242424870695,
      0.669315415767502,
      0.569184848373792,
      0.812620305083291,
      0.769606421329209,
      0.720182106929456,
      0.805063875502149,
      0.738116618024543,
      0.791287102382239,
      0.659940211988521,
      0.501966114073972,
      0.610437083096194,
      0.737954781104579,
      0.718151178003101,
      0.780294364904513,
      0.693833717100533,
      0.620575077363361,
      0.616614848565435,
      0.518262146382429,
      0.62478800283065,
      0.673360053357171,
      0.726229726175382,
      0.75395028324406,
      0.736135478045011,
      0.585655769045944,
      0.5030461857755,
      0.776999910685212,
      0.693690751711294,
      0.746844576822875,
      0.72648813772936,
      0.676337839368039,
      0.525015189721264,
      0.582552020454653,
      0.495028700056639,
      0.844696184063699,
      0.690174436843093,
      0.787524398235729,
      0.830084690281082,
      0.745206153766566,
      0.670870127910061,
      0.657470134069537,
      0.81704283162967,
      0.785854951629125,
      0.722117950037231,
      0.649850180670424,
      0.71270594112609,
      0.678035683696511,
      0.679137915482537,
      0.539767554374061,
      0.882296293447726,
      0.698046754312069,
      0.716102660445641,
      0.71269025822849,
      0.655857325350726,
      0.689928510181306,
      0.603481007342473,
      0.502281966635728,
      0.724562777178716,
      0.671516484476542,
      0.501769492300791,
      0.742137394511806,
      0.693691467408967,
      0.557213886524434,
      0.666748141968254,
      0.574210313969965,
      0.721518496671141,
      0.795107005705328,
      0.714319475100041,
      0.753602997815217,
      0.646786443257387,
      0.440814418335072,
      0.597716735151565,
      0.612216509048925,
      0.730880646146325,
      0.643125276798236,
      0.703780745453321,
      0.693791997163717,
      0.561640223131868,
      0.48646456202037,
      0.547881103002467,
      0.747403018436128,
      0.609712798643926,
      0.722333243946373,
      0.687132519066531,
      0.757177213528953,
      0.501703631344909,
      0.764402181461181,
      0.537020698754154,
      0.735862570829893,
      0.754618472773703,
      0.736076155561499,
      0.739253240806448,
      0.626427211897097,
      0.612746437294105,
      0.689428745851496,
      0.87712619511221,
      0.794464600237546,
      0.699766622621327,
      0.830777910278765,
      0.813564050324768,
      0.584389424724513,
      0.417331503558724,
      0.879258854325957,
      0.752508426061894,
      0.679968579521785,
      0.676310511368815,
      0.892899430748807,
      0.692169368380685,
      0.582716904680545,
      0.603502473033416,
      0.678344331187358,
      0.63204308322887,
      0.637817051902511,
      0.775279090479512,
      0.704431194121163,
      0.569209468174097,
      0.534938748668533,
      0.641943257050117,
      0.716787769736625,
      0.675686195638558,
      0.77203004516862,
      0.806715769336503,
      0.752374489315033,
      0.533255382911298,
      0.579651202230749,
      0.625335429896768,
      0.698647308649195,
      0.786442772704212,
      0.675400117532026,
      0.890468028860789,
      0.662865219894422,
      0.49943752011312,
      0.519024759396269,
      0.872242549587446,
      0.732430748845255,
      0.739147620235253,
      0.706831840790677,
      0.665377932442777,
      0.589651159333577,
      0.507480070199925,
      0.876393613995126,
      0.750041430909015,
      0.63271768333002,
      0.692198685835505,
      0.574601076170784,
      0.631910567188019,
      0.528956590122632,
      0.643102388513706,
      0.767155764872981,
      0.785707689688774,
      0.7480637541371,
      0.801580162186683,
      0.721408760024852,
      0.588039541379212,
      0.502106769787393,
      0.704259785299785,
      0.809295373453464,
      0.673455439018739,
      0.766167507432641,
      0.65026890712469,
      0.665500964326803,
      0.620266426075691,
      0.472284393095161,
      0.622339246215176,
      0.683716407821628,
      0.754135979148968,
      0.698347009866812,
      0.706165550454429,
      0.65547408206213,
      0.557576702522304,
      0.50019379801935,
      0.624173213938784,
      0.560251500266485,
      0.719095007165285,
      0.741323988513465,
      0.70884650323308,
      0.693543835444599,
      0.65958454059837,
      0.88436057759034,
      0.753623300674742,
      0.689511414507746,
      0.780550206620609,
      0.751516177891283,
      0.643881971150928,
      0.515580148737422,
      0.559650837381661,
      0.743920199694016,
      0.606114133002045,
      0.727208749621188,
      0.707788530072236,
      0.66992639681322,
      0.641702827641117,
      0.67385118747114,
      0.629664209011716,
      0.790083837212507,
      0.756317573249318,
      0.666751503199102,
      0.674484257604191,
      0.698355957375969,
      0.675141599972529,
      0.547867742348939,
      0.902714447115021,
      0.774179234906174,
      0.717520977340273,
      0.772807762959946,
      0.723535948752088,
      0.728172420044581,
      0.683580405599836,
      0.797035826727924,
      0.762145264199384,
      0.784287987162228,
      0.724366572051338,
      0.866392371069677,
      0.658096161654095,
      0.563124408610978,
      0.599528306758678,
      0.674423063484828,
      0.658458701261064,
      0.77414215171179,
      0.794973975784673,
      0.630421121356742,
      0.698939763681629,
      0.571444978265261,
      0.71511189311201,
      0.669786168871318,
      0.698880803018997,
      0.734017598689805,
      0.707643591099183,
      0.666545119180658,
      0.468121541471675,
      0.629881270738298,
      0.588008617125145,
      0.845860942102039,
      0.809053806524753,
      0.806712988152868,
      0.808822437823117,
      0.809303290496797,
      0.817504770781366,
      0.762572531178481,
      0.744079084134762,
      0.831766822272993,
      0.730016371326315,
      0.714768089042395,
      0.676334337397661,
      0.715919465302226,
      0.649290101108083,
      0.64643025710269,
      0.827357237687816,
      0.792911119599506,
      0.631545161764593,
      0.711923243798936,
      0.758401988938867,
      0.669605545577046,
      0.631675102798492,
      0.899574874573169,
      0.766038363656656,
      0.620291103094754,
      0.53435953178965,
      0.712082636379245,
      0.537808369693673,
      0.557136040619934,
      0.648723383970048,
      0.745998336001949,
      0.731728878794623,
      0.788165351163629,
      0.740799553131969,
      0.738766150116601,
      0.572420879714441,
      0.391466937900419,
      0.876411865811968,
      0.643287420612191,
      0.741822297999304,
      0.646889087136323,
      0.696840023314722,
      0.685385326915044,
      0.52334096344543,
      0.460929018447042,
      0.6906795574134,
      0.752891094684932,
      0.597564497838447,
      0.715780032137995,
      0.662137668638375,
      0.559675516192619,
      0.472470456895795,
      0.540708722047345,
      0.52073479767762,
      0.686584400086307,
      0.740764354353486,
      0.742929990233116,
      0.683565858459337,
      0.605913913359665,
      0.688478746451563,
      0.683171646386789,
      0.669744088443167,
      0.806880446590528,
      0.74578827541761,
      0.733190664508044,
      0.588954281428952,
      0.563263832398389,
      0.52945641288055,
      0.869262258380682,
      0.755977063838472,
      0.695093532580075,
      0.774914856474364,
      0.718934647756108,
      0.622009377115294,
      0.670906090350818,
      0.869130429096817,
      0.779588215492657,
      0.750337008778692,
      0.652267124587772,
      0.907239922533948,
      0.678364154271467,
      0.590955016486279,
      0.61221116658022,
      0.726564287840356,
      0.708490967481866,
      0.803878945164648,
      0.756363302501417,
      0.801901225712125,
      0.674517814834327,
      0.471840999014353,
      0.568053973018188,
      0.71058100471184,
      0.682583691957808,
      0.774586739101587,
      0.695408939000694,
      0.639890128359251,
      0.597748549788976,
      0.565988172783482,
      0.61853163428572,
      0.699077603714261,
      0.706245539470572,
      0.75461728112916,
      0.741840197640175,
      0.610095007137285,
      0.483011072796042,
      0.756049854326324,
      0.660083059046716,
      0.744361342958801,
      0.7187176551155,
      0.69464934022397,
      0.575037131972899,
      0.51689622184018,
      0.501920216955801,
      0.430710127604427,
      0.386131844006424,
      0.590018488077912,
      0.491655912014529,
      0.508639349412379,
      0.442466824770234,
      0.510380564468129,
      0.448671544723401,
      0.500641007667225,
      0.546869433401446,
      0.465426418498335,
      0.500966899120895,
      0.560355909057852,
      0.359029539813344,
      0.56797845100628,
      0,
      0,
      0.647349394615786,
      0.624292321317458,
      0.588200244764295,
      0.477101462114341,
      0.460849592556517,
      0.705381679782387,
      0.692123800189558,
      0.654987654128215,
      0.647611756853192,
      0.620152842662787,
      0.490995803930797,
      0.50907437651398,
      0.597559051981679,
      0.722405850751223,
      0.532554313191015,
      0.642881386278246,
      0.589954289232663,
      0.585170680284642,
      0.513932939692176,
      0.563336011811896,
      0.682342902162524,
      0.636460188443347,
      0.6467039033819,
      0.537610487578114,
      0.634796625159955,
      0.625379415671167,
      0.612329360153596,
      0.582445346633687,
      0.864546101628145,
      0.59782785317789,
      0.557316928721998,
      0.583231495130624,
      0.808927480604407,
      0.516350688903355,
      0.765883614955406,
      0.876509427141326,
      0.638904596405084,
      0.535219217805799,
      0.546727798248181,
      0.892257397080031,
      0.60872993952771,
      0.525984767040384,
      0.624419762564089,
      0.707353171074027,
      0.565419999408473,
      0.52898769036097,
      0.764159523554237,
      0.620557916169312,
      0.652566687837104,
      0.595359785905551,
      0.535527193749581,
      0.570537959651318,
      0.518040455759776,
      0.608592751247397,
      0.609828469846945,
      0.727356719299882,
      0.536256689413925,
      0.429428297314345,
      0.592822792347564,
      0.594186189262447,
      0.619015132183647,
      0.630990254506931,
      0.846819221099072,
      0.58451925755113,
      0.543496852642781,
      0.530418886395417,
      0.85405930114804,
      0.623750478018774,
      0.640967308432311,
      0.859148053720327,
      0.571319611815382,
      0.491282934277489,
      0.621644665123086,
      0.878088297596089,
      0.621585931263519,
      0.607256553169194,
      0.56052041794141,
      0.610800716325507,
      0.558593306165766,
      0.57892735349252,
      0.657289087081426,
      0.690065341679725,
      0.605407903607438,
      0.756882433637583,
      0.451306227353181,
      0.555611639401546,
      0.440452757195974,
      0.534372030177777,
      0.594548981734616,
      0.644842033841339,
      0.568446366485229,
      0.629777919375673,
      0.5946352612067,
      0.537435048805405,
      0.648351736610485,
      0.527122615226495,
      0.886583636617757,
      0.650462367316152,
      0.636161424611047,
      0.590605927475109,
      0.580642666104256,
      0.568912070446657,
      0.54668663348117,
      0.438840829952004,
      0.629895673193123,
      0.643376901627458,
      0.524264591983104,
      0.623144590770154,
      0.565800581538705,
      0.529654524225731,
      0.441344796671999,
      0.632422155901825,
      0.531717667012522,
      0.52727353536413,
      0.616510622721258,
      0.604224529779973,
      0.583439983717797,
      0.462510928821781,
      0.573833624757127,
      0.643422130746873,
      0.565141667664823,
      0.636995012952712,
      0.577419872685682,
      0.832039392642859,
      0.529413381692923,
      0.70617940236697,
      0.609895787000881,
      0.760608672447054,
      0.624494110382085,
      0.598024065543903,
      0.881591644176326,
      0.667028087876965,
      0.552519788345134,
      0.482262346941504,
      0.681188197056687,
      0.675475854822044,
      0.532749355857786,
      0.600562424095951,
      0.567298025797832,
      0.537638232763941,
      0.659269135551832,
      0.808913061800032,
      0.680722831622548,
      0.550227491583247,
      0.703416052579459,
      0.738489896656921,
      0.709841061977041,
      0.668801833149229,
      0.501616183031921,
      0.568087251786244,
      0.755529639883371,
      0.670404653904836,
      0.597051871365381,
      0.704222287357767,
      0.606241577527494,
      0.590196925173563,
      0.510220476341439,
      0.595898005769063,
      0.693344997433847,
      0.681053939501982,
      0.762794228863414,
      0.722136596581431,
      0.567816180561968,
      0.439331143634898,
      0.702418902977524,
      0.670849922229121,
      0.625417051701882,
      0.607260875775617,
      0.592214109240922,
      0.548475828464015,
      0.533016722545272,
      0.488481915186163,
      0.807082856430089,
      0.599060652818715,
      0.677847784965597,
      0.775220535505412,
      0.582445173597642,
      0.598626069408488,
      0.525851718495884,
      0.802209198797999,
      0.673749931801738,
      0.71758031848525,
      0.649939332652125,
      0.627579324033949,
      0.590542618630862,
      0.60780696099166,
      0.581750823116789,
      0.878721474841853,
      0.654005660407075,
      0.6674439502385,
      0.602466418920406,
      0.578629240791823,
      0.568415992301209,
      0.627796201777989,
      0.465074605439021,
      0.690686110546418,
      0.569420775666034,
      0.467226167491671,
      0.578197548949475,
      0.588780338941345,
      0.567647249924085,
      0.479034741927563,
      0.524431121526866,
      0.597941804942389,
      0.639680530419001,
      0.539873132665404,
      0.596284633501097,
      0.533676410629534,
      0.493239880341661,
      0.535066735635631,
      0.665512803366118,
      0.626401468645041,
      0.505608199219404,
      0.595188917930279,
      0.596165704939428,
      0.520914026902159,
      0.487622327861094,
      0.537999525920906,
      0.685098838790485,
      0.497222683839742,
      0.608878696578284,
      0.562767089911534,
      0.723228632475715,
      0.458085337549681,
      0.784386127696044,
      0.552642118701637,
      0.606439161828703,
      0.587055875758941,
      0.544245503275654,
      0.579206016158172,
      0.561204473937221,
      0.569940541351944,
      0.627295263187772,
      0.857938503616393,
      0.6148443804319,
      0.533453510434893,
      0.820158765254439,
      0.795822867739763,
      0.536546877927675,
      0.441152623201231,
      0.869534684243415,
      0.634352514015896,
      0.582890631552844,
      0.569290738958173,
      0.889548783278131,
      0.591003757467371,
      0.637049531645517,
      0.615137296904356,
      0.682103506384289,
      0.526701729479902,
      0.528843120856117,
      0.76078174459566,
      0.618410471419421,
      0.527891142505307,
      0.600518757263731,
      0.605412612539872,
      0.617767706483012,
      0.513912844442517,
      0.5925863073749,
      0.617321189467983,
      0.606181052989577,
      0.568102154807223,
      0.472889217036035,
      0.60644969006627,
      0.642978319312762,
      0.611381994207181,
      0.673655134987532,
      0.883911421012166,
      0.650716026733261,
      0.550707008748989,
      0.554692105923705,
      0.847614068012184,
      0.615747620212833,
      0.636679373383101,
      0.576875627218505,
      0.592996242551812,
      0.536439734715609,
      0.505856933690599,
      0.87684651118298,
      0.659515062423886,
      0.526711765781426,
      0.568383251825313,
      0.604325654831122,
      0.634357528555155,
      0.491987431821147,
      0.64684723768932,
      0.682384901208308,
      0.617938325167814,
      0.573880115485424,
      0.641921753555118,
      0.565588003235434,
      0.533194944851103,
      0.490748406124287,
      0.553066448587449,
      0.777816681289019,
      0.673066328681715,
      0.619523825730728,
      0.581461150337386,
      0.514316969103568,
      0.575031355098601,
      0.512178711394684,
      0.611943642034812,
      0.603153054573766,
      0.638519891432895,
      0.59965175220612,
      0.593066571814786,
      0.563826058039379,
      0.607409332107773,
      0.536218778131392,
      0.606972193339081,
      0.48620690976492,
      0.553453337430309,
      0.583533853495878,
      0.574781598113584,
      0.726011565107095,
      0.651309247635613,
      0.87284363025574,
      0.631839767753313,
      0.513440787715698,
      0.589306897195718,
      0.638720002502261,
      0.667983047261821,
      0.437265987692367,
      0.558619239426436,
      0.694294594760931,
      0.569348137044369,
      0.645305537937016,
      0.596819188269243,
      0.737692545212007,
      0.705429300845809,
      0.686884271418555,
      0.652574875849027,
      0.753715381536154,
      0.638865059786444,
      0.629418155474063,
      0.598953803331077,
      0.667167374568131,
      0.588192792883378,
      0.569771483624466,
      0.894549418822296,
      0.633666865361507,
      0.552103242167773,
      0.783673094686631,
      0.711364519218562,
      0.720277248422845,
      0.688459466215055,
      0.794107740349923,
      0.679038388696851,
      0.808545813375353,
      0.614844195482202,
      0.865487703738381,
      0.666638598306847,
      0.564707979284417,
      0.60422699028676,
      0.696047522192993,
      0.59669611895856,
      0.71994120484589,
      0.760324805788367,
      0.711502666633652,
      0.738265367581691,
      0.584681341709454,
      0.716557719203136,
      0.609949132677879,
      0.724108294331451,
      0.57973512723607,
      0.622812986427504,
      0.600084991339464,
      0.541748788131146,
      0.479319216807666,
      0.57871555235507,
      0.698718749866877,
      0.827279477564965,
      0.814486906604061,
      0.67149860402839,
      0.850532103621042,
      0.820135706813404,
      0.750128828635723,
      0.728319314518838,
      0.683884137693081,
      0.751475404735774,
      0.701945016691026,
      0.733841862154162,
      0.81391204057426,
      0.647799146232213,
      0.889358886947967,
      0.813583248043256,
      0.663108920091114,
      0.50074181399415,
      0.692799534187129,
      0.856297143028668,
      0.560090957488962,
      0.769418380060783,
      0.901156507252672,
      0.718654972004436,
      0.613488865224845,
      0.548208196656774,
      0.55343383382163,
      0.546719374044316,
      0.598042290966914,
      0.504602221142681,
      0.660451663277351,
      0.564100857434908,
      0.613711409039389,
      0.596852893355414,
      0.568919771526348,
      0.497166872897869,
      0.376604575240389,
      0.863531515338445,
      0.654480088305877,
      0.618928006889551,
      0.598456642467528,
      0.607941859146843,
      0.597948470555116,
      0.533805745264705,
      0.47527994812004,
      0.640067695270268,
      0.651051427911251,
      0.502120793060539,
      0.596364213054875,
      0.564138580053817,
      0.541326725236435,
      0.498433567537217,
      0.58721860399794,
      0.529956523218534,
      0.510749060930833,
      0.580756714851609,
      0.593469113870879,
      0.7146848445165,
      0.665263613913349,
      0.668347565766015,
      0.576818546383275,
      0.616061896181874,
      0.650356816343478,
      0.629109576498737,
      0.591334708661645,
      0.536731126681857,
      0.568918827293699,
      0.521014400670178,
      0.858761841452426,
      0.628226217727767,
      0.603935770699892,
      0.773553416069246,
      0.695584701405165,
      0.710259691206137,
      0.681841136170802,
      0.86197297259899,
      0.721952514616488,
      0.773558617581588,
      0.589741291578076,
      0.893023435437933,
      0.577983823958288,
      0.560815829343706,
      0.650153782315712,
      0.656509608668932,
      0.557705977749798,
      0.706551657428574,
      0.763963471773883,
      0.733979996140672,
      0.712163047119571,
      0.424732557980287,
      0.521043950083463,
      0.663150692983655,
      0.651451781255809,
      0.596820061174677,
      0.700554249148464,
      0.60760553172699,
      0.587334381495705,
      0.523867430591491,
      0.598638112855077,
      0.626327346225971,
      0.683738984592221,
      0.764722241122612,
      0.72137461167834,
      0.53019941749508,
      0.426223814826457,
      0.707756578961468,
      0.642105502034536,
      0.635623603847529,
      0.594150459144014,
      0.588710235033652,
      0.558899180942555,
      0.569634532790078,
      0.555494083276213,
      0.459803402175088,
      0.425404555936131,
      0.614704554220661,
      0.514880329209792,
      0.499518060701298,
      0.525150269685966,
      0.58467229477583,
      0.434322206665481,
      0.491716883557756,
      0.538474496618518,
      0.492258494560849,
      0.502418135094205,
      0.602695253155521,
      0.485590615702566,
      0.624575448541142,
      0,
      0,
      0.724885040260413,
      0.726469527815408,
      0.668152881919824,
      0.660818453415967,
      0.528348875482318,
      0.707212943717106,
      0.750181797723285,
      0.739585269161913,
      0.729398913852346,
      0.717394622375873,
      0.656963168878485,
      0.71920454561954,
      0.613926440582855,
      0.73464608079686,
      0.554394904864973,
      0.665308889325232,
      0.617510840442467,
      0.640364013982136,
      0.575468903124538,
      0.565683440181217,
      0.699698932419519,
      0.549387868538602,
      0.659118126213387,
      0.566342850419416,
      0.642100529456417,
      0.587779164931982,
      0.659141157202167,
      0.598838789465449,
      0.829643513596307,
      0.68366223040939,
      0.62893694643988,
      0.665739500744455,
      0.773431413329218,
      0.653450352190175,
      0.776243452770089,
      0.853373068475127,
      0.682804959065765,
      0.633625210466677,
      0.619383252330499,
      0.84866359493981,
      0.576712610902532,
      0.518399222259728,
      0.642150302029984,
      0.692943550892632,
      0.605720475913783,
      0.515296211277991,
      0.774893851338367,
      0.643023280301418,
      0.622889915964194,
      0.812861249867986,
      0.536235394346597,
      0.614781695077377,
      0.513880552983843,
      0.58467383395233,
      0.629781533108274,
      0.662169270197904,
      0.518716800699113,
      0.443467253750856,
      0.603152432081862,
      0.569188695052445,
      0.690559246847818,
      0.704900189936507,
      0.875209290313829,
      0.677671248893019,
      0.620753724116571,
      0.562792014973897,
      0.815013697224469,
      0.682069403399804,
      0.499201034792369,
      0.838429944926485,
      0.557633484520616,
      0.477408099776391,
      0.591433486147768,
      0.854947225022237,
      0.637454022569495,
      0.62185890330698,
      0.568710639882674,
      0.630374822999373,
      0.570498129935247,
      0.478336137055944,
      0.658997607976733,
      0.676142249885987,
      0.580580568384277,
      0.729390534045794,
      0.471366441641289,
      0.632643904982719,
      0.613773804134668,
      0.524851133873899,
      0.569036181421636,
      0.673179145183075,
      0.633400084655691,
      0.680145278371254,
      0.692762139098596,
      0.624179021902888,
      0.62343642739871,
      0.561487084681576,
      0.852780829528609,
      0.529978586656751,
      0.673651870227113,
      0.595266875253993,
      0.619962965583098,
      0.601882700714435,
      0.541511394616621,
      0.430696263829542,
      0.639261812707168,
      0.622842644669355,
      0.546865931287644,
      0.634067904720313,
      0.54414871585099,
      0.511945102918923,
      0.522291947302474,
      0.79638246293697,
      0.856797625228158,
      0.590841234194873,
      0.689483870754407,
      0.646160308052684,
      0.674269540136057,
      0.504152015805288,
      0.688065134547388,
      0.828394746006892,
      0.551418356779436,
      0.693365207163584,
      0.685213554481987,
      0.780834747327842,
      0.529461564966665,
      0.859097987676595,
      0.807457675472964,
      0.717383479565253,
      0.633217788870983,
      0.612045853957795,
      0.858369487575816,
      0.625747053944501,
      0.565403892153704,
      0.507927718117713,
      0.695414420448266,
      0.665753329299635,
      0.51087772021336,
      0.616751459857709,
      0.571480608646059,
      0.563219577128127,
      0.83996167882969,
      0.798037748985668,
      0.708092029643494,
      0.605352627602768,
      0.709975350010223,
      0.774592421006987,
      0.761546463076222,
      0.709293307021773,
      0.501417749500694,
      0.618091698524554,
      0.7141364110576,
      0.606862732316413,
      0.679773707465958,
      0.528087919373908,
      0.556102396087177,
      0.579874393260902,
      0.493768008193674,
      0.592718413583673,
      0.701994106553531,
      0.662716667087908,
      0.767324192976494,
      0.733463322705554,
      0.53847827528474,
      0.403480362365146,
      0.717037379595679,
      0.696197229385021,
      0.640529037892711,
      0.617763105185442,
      0.604220252494486,
      0.708426509393499,
      0.558255131665797,
      0.542445219284029,
      0.78024104627953,
      0.711105717558287,
      0.65696800262692,
      0.760052629675743,
      0.636985127892828,
      0.642001236288243,
      0.52112080474445,
      0.804910251321309,
      0.692640017954716,
      0.564238879042018,
      0.54981475734339,
      0.756633048505615,
      0.590191212898567,
      0.63471345213852,
      0.637369048724094,
      0.859276337474565,
      0.691158075621086,
      0.582135278152771,
      0.602095662889639,
      0.583508413874453,
      0.541915521543301,
      0.656707718088984,
      0.554407798381536,
      0.690142852100544,
      0.594261644008211,
      0.570631699959353,
      0.652346723679432,
      0.645499006454065,
      0.620160416645454,
      0.483816982359255,
      0.549885311728028,
      0.601018101035922,
      0.682188430129561,
      0.618460935686746,
      0.68032685057222,
      0.643858713038699,
      0.455099883422434,
      0.632332125963917,
      0.639249794339181,
      0.642954208601917,
      0.538975410062083,
      0.60973761091714,
      0.595071419988331,
      0.498114088032854,
      0.499914312693072,
      0.581170241783758,
      0.65949269058019,
      0.517895360685086,
      0.631015127577577,
      0.582231327507503,
      0.682307886592255,
      0.539720127281273,
      0.713074738100724,
      0.561695208825821,
      0.545087864462629,
      0.70000362933708,
      0.661248303042736,
      0.668392490658378,
      0.548548370801569,
      0.56714647923409,
      0.548658363741817,
      0.822263510518128,
      0.67714355360608,
      0.657962616810082,
      0.80542089965245,
      0.747635560872782,
      0.519367133786278,
      0.452316397222262,
      0.845688910056617,
      0.615617318304527,
      0.616480896485366,
      0.525989854525891,
      0.873140348191143,
      0.616511751491791,
      0.602294831805068,
      0.624513920698341,
      0.707620579130682,
      0.534949559701089,
      0.544759726959333,
      0.750002116133009,
      0.619864883749681,
      0.485514476999336,
      0.628897071983634,
      0.630384421728739,
      0.590578044833611,
      0.600131678312291,
      0.697204439281857,
      0.69997229587659,
      0.754754646552472,
      0.561995590180731,
      0.482053270618266,
      0.580251728487411,
      0.540979388261145,
      0.697873356510405,
      0.499056696191707,
      0.851693930135442,
      0.600294482081084,
      0.521854425256132,
      0.526162406703766,
      0.819190752060757,
      0.635216696512552,
      0.636497266582915,
      0.482332005260486,
      0.634070865426289,
      0.514391347351082,
      0.46226817880246,
      0.852468852321716,
      0.652778892366909,
      0.529961674258169,
      0.620253116627557,
      0.618541826523229,
      0.682046564832501,
      0.591763116696521,
      0.649931660700823,
      0.663600024308375,
      0.675612200044254,
      0.749086656712307,
      0.670711768554261,
      0.652606953145183,
      0.596148714345765,
      0.554166769762934,
      0.559251393955643,
      0.71142254280528,
      0.670614702762612,
      0.62309672328857,
      0.610417713392745,
      0.597270731256653,
      0.550865554466723,
      0.486053144851977,
      0.651696129921467,
      0.580781816786869,
      0.666547261025773,
      0.611409217411878,
      0.605337346850301,
      0.515815505615951,
      0.586562326551611,
      0.584482785984894,
      0.699425321355408,
      0.489361505807023,
      0.607063365686461,
      0.688731352862313,
      0.630911054461459,
      0.736373484023876,
      0.658491538784783,
      0.855536466191168,
      0.680681554155607,
      0.556654943056072,
      0.684904861860067,
      0.715448152877572,
      0.715603474800584,
      0.625636485242223,
      0.53460291527543,
      0.706050315092898,
      0.559134445491987,
      0.644120838812088,
      0.598472553535017,
      0.778594077663934,
      0.725481237645306,
      0.634644605677586,
      0.604332107776352,
      0.7198472300135,
      0.64961205691835,
      0.693169370024623,
      0.679271950980983,
      0.587002637463631,
      0.623376544028947,
      0.571735703536973,
      0.87265638163333,
      0.679845197735245,
      0.623811117104674,
      0.792128943021833,
      0.793345255872128,
      0.728159642004579,
      0.643954274071906,
      0.780738494970984,
      0.662402015607773,
      0.78694510410876,
      0.630768349765048,
      0.830872373263172,
      0.61831596580826,
      0.621074544630208,
      0.596096529480835,
      0.681496026395426,
      0.636411167255623,
      0.617775404225312,
      0.777123674346553,
      0.773344577753497,
      0.6971056039615,
      0.533309974763865,
      0.717668558307301,
      0.632988647665795,
      0.707242741516043,
      0.585299355990551,
      0.662231954031461,
      0.598545115805151,
      0.598835332958753,
      0.479058903881112,
      0.571532082101058,
      0.752306182761937,
      0.833858747934037,
      0.755167738145128,
      0.720510728636064,
      0.712437260868358,
      0.629308196710697,
      0.625591971182666,
      0.632474451283265,
      0.715505316100328,
      0.727642109510886,
      0.543815722025318,
      0.655708629921569,
      0.707898246608863,
      0.658665143608109,
      0.855809366079837,
      0.785827570085272,
      0.64731585698742,
      0.504426474690071,
      0.688124616639052,
      0.800516620725865,
      0.531247335029049,
      0.805371032551629,
      0.908516685562163,
      0.66094681338606,
      0.709778568347767,
      0.620278658328813,
      0.685859950041927,
      0.712018117005493,
      0.559422771938176,
      0.460451356634943,
      0.628456546061078,
      0.579005725657681,
      0.691651083248616,
      0.659256699952274,
      0.616062654820506,
      0.570939710252235,
      0.425633347292458,
      0.840217992621878,
      0.600826484121874,
      0.636984734216949,
      0.603093337934925,
      0.618963889060292,
      0.605451477144587,
      0.537562556311899,
      0.473142177191884,
      0.658788999271421,
      0.645856219356965,
      0.515254679669219,
      0.619139836779946,
      0.55550789141209,
      0.507150737960327,
      0.476178085843892,
      0.667464122787364,
      0.472557119578591,
      0.576702299726046,
      0.684724634551732,
      0.668439010216607,
      0.744028551932041,
      0.691719458213269,
      0.629826601967222,
      0.599836626615894,
      0.569584323838614,
      0.69517484118609,
      0.667734960521672,
      0.650303924075557,
      0.533583960247387,
      0.458177285217458,
      0.582512931243965,
      0.820145360893443,
      0.65046650648933,
      0.625023343824176,
      0.793248414783667,
      0.719416217450312,
      0.699494399057345,
      0.638620793767976,
      0.838815127772833,
      0.729828880782379,
      0.748636339151885,
      0.618322823275123,
      0.862130029037888,
      0.610307455881645,
      0.595943068652041,
      0.660152487801514,
      0.676620056706413,
      0.599646700599984,
      0.671089553292482,
      0.785297428859599,
      0.781698806950392,
      0.708908086825523,
      0.463144520408025,
      0.522970344612868,
      0.645338416266191,
      0.607429919935079,
      0.688151875977456,
      0.532999469463532,
      0.50961073977024,
      0.599565377802019,
      0.478435205058005,
      0.57397050067759,
      0.743830866072002,
      0.598971768246017,
      0.767857980613945,
      0.767293715294013,
      0.46782751980673,
      0.427078209174225,
      0.715794447645622,
      0.694753562912703,
      0.644340179827704,
      0.628911433175617,
      0.548814862123269,
      0.722847289837623,
      0.562674566496685,
      0.502346722447014,
      0.473796484552455,
      0.442378519244665,
      0.502929437375494,
      0.483601992534978,
      0.49822694321337,
      0.491443433411252,
      0.555749343667196,
      0.425844920727514,
      0.487540657805694,
      0.545250345367999,
      0.399137902940356,
      0.41809034345132,
      0.567961205697573,
      0.463229037565766,
      0.599929459118281,
      0,
      0,
      0.761156453206582,
      0.756496921373676,
      0.688631823442364,
      0.698983475285701,
      0.556280840950547,
      0.736978742662693,
      0.789695171389628,
      0.772722623602967,
      0.761240897514468,
      0.742192980370997,
      0.693584271754697,
      0.748903914678756,
      0.600318313940827,
      0.68872624798829,
      0.437568226673564,
      0.566103043146393,
      0.486229220396526,
      0.554701479801372,
      0.487427345823899,
      0.521334714697666,
      0.688185673495463,
      0.473538794001194,
      0.56733042515669,
      0.509924259368214,
      0.480042958466911,
      0.514129258727843,
      0.620671992659726,
      0.692222879023463,
      0.80188845049936,
      0.718530155287387,
      0.698135325354362,
      0.703463653092843,
      0.751369961192319,
      0.701692297484104,
      0.59116010120236,
      0.825541985243039,
      0.726344224139236,
      0.668692852639758,
      0.650455969302627,
      0.786386610375529,
      0.56386338297758,
      0.534283988583441,
      0.635995882229638,
      0.653131352710435,
      0.475761731062387,
      0.411817876178481,
      0.740634081774398,
      0.541120695203733,
      0.469490115240579,
      0.83156715408323,
      0.536741869862646,
      0.565487006382475,
      0.34594654466486,
      0.620637157381367,
      0.60710899144316,
      0.626668433030585,
      0.627975797403338,
      0.417252133782512,
      0.584219930453581,
      0.610033888305493,
      0.726638008868824,
      0.739245938246424,
      0.724803924695483,
      0.747546091649342,
      0.632878840864542,
      0.773654432491321,
      0.782077107468123,
      0.734623214271828,
      0.523576848457657,
      0.808605965919387,
      0.592882068284509,
      0.564642334980266,
      0.492333232386495,
      0.827763203221402,
      0.567180027909376,
      0.545940892348368,
      0.459414179113588,
      0.7151287098673,
      0.612153148371692,
      0.465121879635293,
      0.629301369332174,
      0.666778910975042,
      0.584518751156429,
      0.50423866346569,
      0.477060533220781,
      0.655662742169511,
      0.640205364673104,
      0.534242791086152,
      0.628948893229268,
      0.727390452181685,
      0.634736062578433,
      0.701551268313747,
      0.739927884865139,
      0.644212586943744,
      0.649379905370459,
      0.638381311739563,
      0.80835651239212,
      0.752450426174374,
      0.651924190542371,
      0.579157641106021,
      0.504372447112195,
      0.503945802599734,
      0.49755663362506,
      0.516211285401624,
      0.59135768155132,
      0.529387912641691,
      0.383614590471832,
      0.554810775364046,
      0.434144462294031,
      0.433832484958365,
      0.477479366014624,
      0.813911464728708,
      0.904457314673905,
      0.617630005520718,
      0.720549144169035,
      0.679472004972081,
      0.716257512420893,
      0.525971880843817,
      0.810783493389873,
      0.885225642404419,
      0.662169946615907,
      0.729127113210879,
      0.726090212383775,
      0.723603420060372,
      0.52163271715199,
      0.821550974034207,
      0.882291657170371,
      0.642078951826499,
      0.573581319362185,
      0.473135457030641,
      0.822054056579195,
      0.574426614913379,
      0.575168284628518,
      0.461747284789271,
      0.699400470787667,
      0.608347222086393,
      0.493402354923269,
      0.417604490985339,
      0.580633063117885,
      0.6437893377117,
      0.816698686115056,
      0.772632023551362,
      0.759220927095156,
      0.644740925793027,
      0.733079175861387,
      0.770815841092828,
      0.76409425229996,
      0.693567228824237,
      0.498496173465388,
      0.624535748550426,
      0.717842133280089,
      0.595735355005855,
      0.711937597700897,
      0.477497483339139,
      0.581800222641022,
      0.607301926493884,
      0.47509208658213,
      0.633730962202855,
      0.719705447703033,
      0.695306541016901,
      0.710492435122895,
      0.711910258539128,
      0.623637445105129,
      0.563150358529172,
      0.712053880558319,
      0.695270178534026,
      0.564913627518306,
      0.575002515533933,
      0.583267233291595,
      0.725450306793562,
      0.614787448479201,
      0.616736783764721,
      0.781844170927136,
      0.722932226623793,
      0.726011093610616,
      0.668119473022887,
      0.663537442467213,
      0.66552106729215,
      0.552787397321441,
      0.774672835300651,
      0.732419840435672,
      0.616991599560171,
      0.680478068038472,
      0.761640185563796,
      0.619467688098708,
      0.55539406992854,
      0.634509868630298,
      0.84618895627436,
      0.702454539827741,
      0.666234646994148,
      0.486865139258822,
      0.58146644725376,
      0.575583307398857,
      0.646095876324846,
      0.688709423731806,
      0.612241720528858,
      0.60688332059228,
      0.596879452542044,
      0.682806163683298,
      0.661732841479102,
      0.646009950872207,
      0.53682950936401,
      0.615157043031028,
      0.647185323314504,
      0.721767855727903,
      0.646690909294076,
      0.707011934580607,
      0.663516346731489,
      0.533854941550645,
      0.681380316612134,
      0.6538191991914,
      0.625886215545209,
      0.435232525420483,
      0.516496730012535,
      0.512369836217006,
      0.510025648817696,
      0.468206872767173,
      0.616609025743303,
      0.657201017663348,
      0.489832128517105,
      0.643111040170534,
      0.547981870799901,
      0.658148302653339,
      0.606650753330833,
      0.589832799281513,
      0.611476371193408,
      0.583638839149378,
      0.730826288657631,
      0.695411636916283,
      0.695041031300834,
      0.563402786620163,
      0.569605889116401,
      0.612081317224457,
      0.799785000743461,
      0.713989316959604,
      0.688691433392288,
      0.775320667782322,
      0.704146727885471,
      0.515895794900994,
      0.482386320483529,
      0.800420058708018,
      0.618572438958049,
      0.520622806333873,
      0.596988693036489,
      0.843117845219864,
      0.502900796819055,
      0.539731453031391,
      0.605136855728695,
      0.670126663299775,
      0.483798208922689,
      0.434392547512179,
      0.722562208662369,
      0.510163268841269,
      0.478877945048989,
      0.679403620836925,
      0.612551559439187,
      0.62998533894952,
      0.641967603125513,
      0.727696098465811,
      0.72855343580395,
      0.725991264052024,
      0.610138556011492,
      0.466959088272656,
      0.78372004894307,
      0.565059786065547,
      0.724449285826721,
      0.510036833781503,
      0.82962476239776,
      0.599921078256853,
      0.569536488943861,
      0.532550080607974,
      0.787306141916527,
      0.643011774453656,
      0.543831152280326,
      0.49389453355863,
      0.689370554139315,
      0.687455452080904,
      0.428449119468391,
      0.817942208125569,
      0.638097856920123,
      0.490872347364592,
      0.611794240856464,
      0.619148127954963,
      0.708835247177531,
      0.63670959256734,
      0.63490861686757,
      0.718213935822813,
      0.720633806068744,
      0.791516860125612,
      0.711044249700638,
      0.679399400544832,
      0.631791898120376,
      0.602229789769026,
      0.55951674791288,
      0.660407354957568,
      0.653910159784319,
      0.62193212320353,
      0.530508412657415,
      0.633057511023646,
      0.476519758084195,
      0.533121488377627,
      0.603355990233478,
      0.50601342009962,
      0.564404960417152,
      0.499147449830878,
      0.477786280298337,
      0.575332449773676,
      0.626105933153528,
      0.520202695601113,
      0.789634837868546,
      0.541747584462027,
      0.645504808078793,
      0.732465437743389,
      0.693971122401754,
      0.690506173188911,
      0.61974037489669,
      0.832994979974641,
      0.734763686823173,
      0.574676560826314,
      0.712767205055737,
      0.734043440053221,
      0.737827457741128,
      0.673645320854537,
      0.545286686925523,
      0.693992757112857,
      0.478486869333585,
      0.581236429337126,
      0.508919975788146,
      0.755387552209257,
      0.668538672199338,
      0.612663632167251,
      0.642961685587803,
      0.67525006904625,
      0.614670247685849,
      0.651746268578874,
      0.618595885325823,
      0.591018030456059,
      0.558536663815138,
      0.648290450881752,
      0.836742837464179,
      0.705516103895011,
      0.667789865734438,
      0.724117767115723,
      0.780720702713754,
      0.702898077645605,
      0.650291097626939,
      0.764619775133698,
      0.70338874863899,
      0.725710434305017,
      0.638549811051194,
      0.787595923555276,
      0.639151630838987,
      0.671314397599953,
      0.5672807475885,
      0.642578043689638,
      0.58266584072669,
      0.693431884152992,
      0.715110971250707,
      0.719883933444122,
      0.693674481351217,
      0.533404285331971,
      0.700877310623851,
      0.701315448479892,
      0.618733902318597,
      0.559049695243333,
      0.556855966768253,
      0.57130232168935,
      0.600667796256245,
      0.446389911842362,
      0.635585907714174,
      0.802002801338851,
      0.744364392591532,
      0.740577722671286,
      0.740687859143612,
      0.654014133724279,
      0.647651135019344,
      0.58542350935137,
      0.679264699411077,
      0.750212631806361,
      0.567008891088015,
      0.628719022486961,
      0.573687857416504,
      0.573074658777023,
      0.623432409424964,
      0.556516412668813,
      0.770201560950858,
      0.626558550024882,
      0.46773576411266,
      0.507355332748044,
      0.611463863149003,
      0.718888333014277,
      0.567153815566041,
      0.836839052346906,
      0.597618975881991,
      0.572640914874963,
      0.678908521561973,
      0.724069392445694,
      0.721765863161126,
      0.578899678399882,
      0.429641290350919,
      0.727962185386435,
      0.629143280343781,
      0.73047057334413,
      0.691282386149916,
      0.647162432471279,
      0.610224018178177,
      0.471263592673931,
      0.784140007770561,
      0.650819341566987,
      0.544788686866328,
      0.528875453707791,
      0.521471719315902,
      0.545167340945497,
      0.487835005481721,
      0.505152067457856,
      0.660801385568768,
      0.565593947797245,
      0.373674608481,
      0.566566706360704,
      0.725724548690811,
      0.484695044097319,
      0.397325382901627,
      0.589763828508711,
      0.450517269768022,
      0.608571765853095,
      0.721210469601902,
      0.691729974792766,
      0.751226358499819,
      0.657304260988435,
      0.609240316127809,
      0.602811026518753,
      0.571900539082701,
      0.731555341980971,
      0.661510631792221,
      0.693691308225446,
      0.535843318088917,
      0.457480900517244,
      0.622606830512792,
      0.756505583320653,
      0.561132259388479,
      0.570896919216591,
      0.735437495319091,
      0.703603622517898,
      0.627259440136288,
      0.64576508178841,
      0.809875400862616,
      0.724228342431845,
      0.702411967134634,
      0.607366918496765,
      0.834426626024046,
      0.60205726529416,
      0.650929689124279,
      0.612280865849744,
      0.718295751558231,
      0.629285671039864,
      0.74365876903032,
      0.765920769636018,
      0.774313938074681,
      0.674839838838953,
      0.459973391850732,
      0.481556440440218,
      0.686398846808394,
      0.550625502237116,
      0.724594511095552,
      0.546006686884023,
      0.580831060077655,
      0.66019909438559,
      0.53154964610352,
      0.58960610364252,
      0.74121738071219,
      0.669614730564721,
      0.708174423875667,
      0.718108094944426,
      0.587481656983208,
      0.602178264862691,
      0.739762899673465,
      0.709558950753109,
      0.571590467160675,
      0.582052027224279,
      0.669328780482164,
      0.749643328287626,
      0.541418736298276,
      0.520565018406109,
      0.441591710389821,
      0.384704610643888,
      0.520330786353034,
      0.447621983325246,
      0.389151877363533,
      0.398611263742073,
      0.505358376181283,
      0.377112488030934,
      0.386886460753251,
      0.455905241091212,
      0.420961168218554,
      0.409713216105464,
      0.427188674889268,
      0.470829614039118,
      0.555930822354932,
      0,
      0,
      0.557867846997775,
      0.563227315063202,
      0.452532810301888,
      0.542270593088785,
      0.466961887906079,
      0.683529934161594,
      0.608362217928381,
      0.567575857842971,
      0.550757107754748,
      0.535045897121779,
      0.516996875153723,
      0.54613888708186,
      0.564752538412399,
      0.616547925979452,
      0.458529856108239,
      0.591963793059521,
      0.570350150306918,
      0.581855388112753,
      0.501019357190508,
      0.474494485996307,
      0.657634737143328,
      0.511980075348541,
      0.603244950592772,
      0.528046038359357,
      0.585272618753517,
      0.486007701599945,
      0.626196953920795,
      0.689071196105835,
      0.754639909664397,
      0.549836783167535,
      0.717302207382363,
      0.594335222521991,
      0.681535979722255,
      0.601215218917939,
      0.555149396162324,
      0.799217317769947,
      0.618291090783027,
      0.592450297303514,
      0.563435188941136,
      0.794132244066786,
      0.723692553584515,
      0.512784085306014,
      0.717641354909222,
      0.566357485713613,
      0.492848904731962,
      0.447994647533735,
      0.737498304308936,
      0.723864256612685,
      0.474100937467942,
      0.709368811584804,
      0.57855830801723,
      0.573908488340895,
      0.417419025566233,
      0.642551728813748,
      0.70016125573661,
      0.556786701770156,
      0.627492648131955,
      0.459659737269729,
      0.682464269242503,
      0.516302350431484,
      0.591251954864794,
      0.542166986985439,
      0.541986052306389,
      0.761069068457598,
      0.553543176881145,
      0.903532960591626,
      0.742623856963474,
      0.722923439485966,
      0.627403686165798,
      0.763004317393012,
      0.683943820225357,
      0.563889551749826,
      0.592961698693768,
      0.799952268465635,
      0.669452213789729,
      0.587234212319702,
      0.51842583321157,
      0.669807459808552,
      0.742375586487211,
      0.531537707249781,
      0.591968600267696,
      0.731481243664668,
      0.63351380106887,
      0.533836291621404,
      0.528046215423182,
      0.468417729620626,
      0.681038912039594,
      0.515259152766672,
      0.639916170340213,
      0.6241776064111,
      0.548838600125593,
      0.59194256669967,
      0.790677790122935,
      0.770078473781391,
      0.624953045091201,
      0.69250070552738,
      0.762297026692142,
      0.727884349867705,
      0.590923199577756,
      0.613697245066473,
      0.528094319515318,
      0.526449575076934,
      0.539391290778827,
      0.582297016007039,
      0.569909048051238,
      0.631396503541477,
      0.481209977005615,
      0.656951548204231,
      0.55819266108814,
      0.588736664708321,
      0.566381855081788,
      0.688939057310134,
      0.733512874553525,
      0.464050793116181,
      0.547240710321332,
      0.608805241467354,
      0.750272079397331,
      0.499030825670853,
      0.856393103589719,
      0.778898941266055,
      0.696292552245493,
      0.588909597848444,
      0.680421279682062,
      0.674170725884122,
      0.635883049505144,
      0.742700582524939,
      0.764400519243136,
      0.629735353106496,
      0.788294362985219,
      0.52420608419469,
      0.793943801772576,
      0.591726542369012,
      0.537591550269549,
      0.452549902435365,
      0.688135079945048,
      0.703102711333013,
      0.511132242555044,
      0.560748901742485,
      0.636220847829424,
      0.8550779517409,
      0.617405097925273,
      0.76107766192169,
      0.737332882071766,
      0.73831756040886,
      0.724617079699749,
      0.748861467852235,
      0.600200282618195,
      0.625931614212971,
      0.662179149985107,
      0.616044871410309,
      0.782613367276571,
      0.624035950589758,
      0.717875896119761,
      0.635592775928657,
      0.596027083086997,
      0.590244459549787,
      0.66065181060815,
      0.722562298811046,
      0.7138099159674,
      0.722049850825271,
      0.709871026029752,
      0.597667149725173,
      0.582967848208306,
      0.611810173090585,
      0.693262979717562,
      0.708876050755184,
      0.75177765698003,
      0.608226355247131,
      0.658926959481807,
      0.594784344594858,
      0.68672734424532,
      0.706464116906711,
      0.786473950845408,
      0.671848417500898,
      0.714310639262584,
      0.724354873733849,
      0.57855278107518,
      0.47966054854359,
      0.687141903459416,
      0.723427958401725,
      0.686675133627802,
      0.567510895859021,
      0.654588696258073,
      0.658996232674902,
      0.663894638694032,
      0.695197140551755,
      0.702605903053777,
      0.793991271524586,
      0.644309736530226,
      0.698580996373395,
      0.60161703108509,
      0.613521757384769,
      0.701414335364905,
      0.616302723605818,
      0.751348360694069,
      0.672114258454,
      0.689479229227743,
      0.556709384061069,
      0.55364964965584,
      0.566085204029391,
      0.497984687899522,
      0.498785879561067,
      0.581471969230073,
      0.530072288648447,
      0.547867434218351,
      0.522648722372021,
      0.767824976328512,
      0.77245152898826,
      0.855745319557983,
      0.738182745741144,
      0.757034322993525,
      0.689313417151621,
      0.516435901236912,
      0.562932883172523,
      0.5466162339013,
      0.516824389001842,
      0.459912450667407,
      0.643371968029321,
      0.595399713241712,
      0.741234659396706,
      0.78874237057163,
      0.724339818878974,
      0.781190577796093,
      0.606598705765566,
      0.580519441393031,
      0.637181060464641,
      0.674361902818823,
      0.549768514706856,
      0.500945375914267,
      0.577739778829329,
      0.488141021137495,
      0.546350186557442,
      0.642639283292696,
      0.776150474367173,
      0.785409658518246,
      0.668282623790697,
      0.866978006427815,
      0.676996929213173,
      0.520228580601524,
      0.488307286434333,
      0.803448605502922,
      0.616719617700759,
      0.513859443850827,
      0.607033075208055,
      0.80805467450649,
      0.617944306293235,
      0.574107684799862,
      0.624949563294845,
      0.705201213156337,
      0.52523587437438,
      0.805483198012302,
      0.771091909765979,
      0.514288812769162,
      0.510703800256297,
      0.746574705656141,
      0.606512639803956,
      0.626918292324467,
      0.468826588865592,
      0.652728585188235,
      0.551694388130846,
      0.524315559490303,
      0.60121043085374,
      0.437631300461906,
      0.84323057742587,
      0.50355559939001,
      0.582552417780076,
      0.492601114828687,
      0.787325672958391,
      0.73174466239383,
      0.621904724751882,
      0.624014598194089,
      0.73282137654337,
      0.767638559192208,
      0.575734218067991,
      0.548167488158791,
      0.747082828770779,
      0.814888891762276,
      0.493031223506283,
      0.878239885696311,
      0.672816428835227,
      0.565406274912636,
      0.634162136178736,
      0.540277237529841,
      0.710702237412762,
      0.526453602659165,
      0.615746778895039,
      0.642649372323138,
      0.54406770644877,
      0.605577308229692,
      0.652775138046055,
      0.563546825923814,
      0.783920216210447,
      0.685397769729262,
      0.635443709911355,
      0.558750193934644,
      0.571203194228909,
      0.691171403748434,
      0.525470208200735,
      0.707178625335338,
      0.506500318035987,
      0.736064757584686,
      0.562589810359044,
      0.51148472842242,
      0.598955928916744,
      0.701128402342251,
      0.610406930246762,
      0.637122430694942,
      0.659117076171172,
      0.604889275286823,
      0.728350696450153,
      0.519960232060821,
      0.578408414757736,
      0.712321258050989,
      0.782868327074477,
      0.749813997229449,
      0.507595990901702,
      0.811504579871049,
      0.627700793215968,
      0.474241219599515,
      0.743235942955973,
      0.692533641385311,
      0.809067179052323,
      0.561088435877622,
      0.588500390686704,
      0.713568636069789,
      0.502345427890966,
      0.742593886175192,
      0.588278966975894,
      0.720329307417472,
      0.648236914396004,
      0.531509163489783,
      0.674024049384472,
      0.608623502925643,
      0.780105999553582,
      0.654209815041303,
      0.644258754949966,
      0.561371403599814,
      0.574431655669337,
      0.694720671550591,
      0.785822537323393,
      0.759520298200727,
      0.695686227103076,
      0.759463504684894,
      0.692837133638825,
      0.631313782645473,
      0.588528498136162,
      0.750539974287149,
      0.727238862172025,
      0.737399725480324,
      0.622207798808205,
      0.810639273429106,
      0.603626112783254,
      0.630559744535157,
      0.643595365471274,
      0.712551709154375,
      0.729729231379681,
      0.715843846642868,
      0.718650909613294,
      0.657469162307528,
      0.623750739679816,
      0.591613317470093,
      0.672037661272656,
      0.77491502545038,
      0.701331105832934,
      0.708616509251369,
      0.62828539923679,
      0.630568552392643,
      0.610810954809625,
      0.430114764876571,
      0.613463387762738,
      0.649524154903499,
      0.543285065845205,
      0.538674590182063,
      0.552817642832428,
      0.533772036083434,
      0.499699679534272,
      0.480084836377016,
      0.623664955695062,
      0.575778571742201,
      0.498869447664796,
      0.587937417619503,
      0.549777546265594,
      0.60855989598175,
      0.605948677435661,
      0.585499796957307,
      0.698234392338536,
      0.653465051303304,
      0.459157155594723,
      0.622445272230687,
      0.631390096495624,
      0.733232957877324,
      0.554512775960897,
      0.78966230909844,
      0.582995651893241,
      0.44395391593567,
      0.5915246283543,
      0.615830280786132,
      0.633054632229772,
      0.5949871032807,
      0.677097191016232,
      0.772280814128518,
      0.46472237928631,
      0.541147454751667,
      0.613941855987704,
      0.744271849550608,
      0.650646508595034,
      0.569390850526678,
      0.74736411784086,
      0.561219074166806,
      0.585201673871059,
      0.538150409278682,
      0.566559483708612,
      0.519522020437382,
      0.554687877763957,
      0.523827487023436,
      0.630302820814047,
      0.576209248148838,
      0.502396995879509,
      0.640922772054967,
      0.802921976395465,
      0.536926927662708,
      0.398028379396065,
      0.597495634361157,
      0.463212412407039,
      0.516412946547959,
      0.722919333198434,
      0.626294513234193,
      0.737046737247494,
      0.645498463559187,
      0.583372723624542,
      0.594427225214437,
      0.554840417387649,
      0.74392290704095,
      0.575338750186837,
      0.714996979100264,
      0.563895544956539,
      0.447316167388822,
      0.636302602112796,
      0.70978272634212,
      0.762349362065372,
      0.698644920233584,
      0.725966721761692,
      0.654452403169617,
      0.613626439246701,
      0.583843836736766,
      0.76476145921014,
      0.778746727242967,
      0.746837869015159,
      0.682394746348284,
      0.809980538148576,
      0.586116416842981,
      0.668903041334871,
      0.638447928252935,
      0.718797775233172,
      0.703431336024506,
      0.758378345925245,
      0.709606153843696,
      0.656543341386899,
      0.646304253624409,
      0.62917701424476,
      0.505862711668729,
      0.732583110604327,
      0.642897504100473,
      0.677917108981672,
      0.608124555025924,
      0.636426373000954,
      0.639563442827918,
      0.682426224342216,
      0.691302996158273,
      0.700264786262054,
      0.687502966786559,
      0.682898694218856,
      0.630276946589288,
      0.62309398652398,
      0.627431427093092,
      0.754243268489008,
      0.786486814376149,
      0.714944537181861,
      0.613379622747334,
      0.646612789503813,
      0.625114389448221,
      0.571825760175467,
      0.532461456685178,
      0.462292154029074,
      0.375195821854534,
      0.528783789134793,
      0.455301685383773,
      0.467534794652317,
      0.351359736937171,
      0.498372376665491,
      0.309586216949289,
      0.428267024983743,
      0.470233101266483,
      0.379832643645134,
      0.402872236540814,
      0.479862420435207,
      0.458474746920593,
      0.557430611368682,
      0,
      0,
      0.596923788400044,
      0.557586439729152,
      0.429364193190453,
      0.390073464051584,
      0.478486500387517,
      0.590190373591973,
      0.55363984655309,
      0.612967998440486,
      0.552109999394681,
      0.511205708394217,
      0.393518700862196,
      0.488528363464434,
      0.5689859825993,
      0.618609102369534,
      0.623075741642153,
      0.701408167736865,
      0.635236808125538,
      0.684171703731149,
      0.640342293580102,
      0.518706389886137,
      0.743669945312907,
      0.626564935298617,
      0.700859144033054,
      0.62046674562493,
      0.704796936640015,
      0.557140612837057,
      0.621261574945935,
      0.717024655397655,
      0.7077988635889,
      0.527854812510924,
      0.625475336479086,
      0.611879353413473,
      0.668178962438403,
      0.472217867598711,
      0.510519474439263,
      0.782653083927047,
      0.774740821751207,
      0.710850238877317,
      0.670273534661205,
      0.792147785410068,
      0.839271932225817,
      0.535684614745527,
      0.655793969884939,
      0.772284573976004,
      0.656396167653708,
      0.654624196893434,
      0.741110966910219,
      0.856634636260742,
      0.58703577851821,
      0.635299866045276,
      0.696873520724596,
      0.642660351619941,
      0.738574011078527,
      0.601211337599802,
      0.907355650538821,
      0.570378078188324,
      0.589752033744399,
      0.746155257118819,
      0.83872809292171,
      0.625764936020525,
      0.652230738482991,
      0.61450832188993,
      0.501700272197322,
      0.715755076845582,
      0.835316704816552,
      0.778739456604023,
      0.704206823641868,
      0.871492585860237,
      0.821796862023459,
      0.765335758892815,
      0.787288560801525,
      0.743539096113819,
      0.825811248591375,
      0.789928279489691,
      0.763015805252726,
      0.790988827908172,
      0.701392445010297,
      0.740357566695477,
      0.827096860817378,
      0.848151408563561,
      0.826284822879394,
      0.879375132467713,
      0.67781666829576,
      0.646391935690424,
      0.625539487818505,
      0.831534353134157,
      0.832424243766982,
      0.547044581761785,
      0.706421619333807,
      0.747928313332492,
      0.692873037213454,
      0.583663434872058,
      0.832822119233586,
      0.843348335014443,
      0.571351940863226,
      0.807077695916123,
      0.788049606935122,
      0.538157351500148,
      0.594397087317453,
      0.796500506139761,
      0.624727678529081,
      0.672575013216727,
      0.703394406885531,
      0.78766963181307,
      0.616113195265971,
      0.770852762638021,
      0.74754692693836,
      0.744430871052292,
      0.793118460561312,
      0.81361555687104,
      0.871992896459284,
      0.670440217741632,
      0.659702404501177,
      0.65462575832303,
      0.69666791706846,
      0.778372602235135,
      0.800071079003893,
      0.830932988449764,
      0.804552502784985,
      0.601880823593609,
      0.640479848460321,
      0.615365132006039,
      0.724190438962192,
      0.731195917384411,
      0.870163026219797,
      0.606009360644517,
      0.605717882640635,
      0.725078610618713,
      0.86876808913964,
      0.663743343182127,
      0.772155900715526,
      0.827395368851196,
      0.642218811848909,
      0.541381302706616,
      0.724062469439077,
      0.733358865427545,
      0.625313467644183,
      0.778696743955117,
      0.775602536084398,
      0.937944729219112,
      0.491560661013057,
      0.766023755458236,
      0.737482978230167,
      0.698613521786105,
      0.72200497617158,
      0.769850671830348,
      0.673128944294936,
      0.667193469224243,
      0.73131970869564,
      0.579796994161768,
      0.711197215012246,
      0.668760011437539,
      0.708007410368376,
      0.746817984776372,
      0.605369876166483,
      0.6708835759316,
      0.699455034357261,
      0.742240114963366,
      0.774172128322713,
      0.755094813367524,
      0.762199265270735,
      0.587615217391215,
      0.660086517415178,
      0.625149435283623,
      0.697125812784992,
      0.724972054066219,
      0.762183804283349,
      0.800242521883377,
      0.669571759934964,
      0.704429504938344,
      0.586951649637386,
      0.655045975464733,
      0.771225380061142,
      0.681887754859044,
      0.773284260348193,
      0.805552761283032,
      0.523070469910945,
      0.446530860070218,
      0.677133054678402,
      0.75055624626363,
      0.682503384062589,
      0.728971806662277,
      0.598998795098524,
      0.674165547950212,
      0.604113961974358,
      0.758123207225982,
      0.712541059806859,
      0.758117342501636,
      0.609607632929555,
      0.786560413961665,
      0.725013541805337,
      0.626322715346527,
      0.628678926724169,
      0.627922730159798,
      0.670894369427173,
      0.794618466867846,
      0.732085809090536,
      0.714542827362756,
      0.753910548829232,
      0.596890616440074,
      0.422403208034129,
      0.887606252977585,
      0.708494495204475,
      0.801658409094348,
      0.613119816101936,
      0.483819599500115,
      0.914739796725791,
      0.907220596623517,
      0.893402728443949,
      0.724875212486622,
      0.787460792835606,
      0.673138204940762,
      0.857062025701976,
      0.877385405055134,
      0.650392381169122,
      0.59874335064124,
      0.732686530558011,
      0.800249384076605,
      0.667541421212855,
      0.843831538310987,
      0.8771852470886,
      0.792085311863761,
      0.870893139758736,
      0.618166212403283,
      0.488000152715097,
      0.870992426547577,
      0.718554063621648,
      0.704266762693694,
      0.49004305839039,
      0.889764521666935,
      0.667860779762328,
      0.761442333007852,
      0.614428361852247,
      0.727961516206197,
      0.886661746078562,
      0.762993126206718,
      0.914899885073919,
      0.686800419632498,
      0.89215557507487,
      0.799163727900397,
      0.818996412921447,
      0.760676060967899,
      0.740050335881291,
      0.637216920451561,
      0.766078898846351,
      0.815852528117273,
      0.665620659776709,
      0.846007477431165,
      0.874090085181093,
      0.649430044985351,
      0.889102984090824,
      0.902165506357491,
      0.637018353727627,
      0.796485011225681,
      0.774936139242676,
      0.714103764777098,
      0.682548518227701,
      0.63178237934832,
      0.721544969781695,
      0.569757112203541,
      0.49120894600616,
      0.589220681547358,
      0.749488176808123,
      0.812294206490762,
      0.575202415359838,
      0.696250857143449,
      0.63788775178117,
      0.755824216349243,
      0.891567804997187,
      0.723094167338665,
      0.609072013333195,
      0.730284944648817,
      0.862017795895482,
      0.666197471583654,
      0.689693233751708,
      0.739026523352654,
      0.856488666357961,
      0.700799305793367,
      0.830467584821319,
      0.811432563669386,
      0.686719452699915,
      0.68977544516931,
      0.613318204039768,
      0.785536841165545,
      0.607499736586166,
      0.759245044204786,
      0.712761517954523,
      0.686925910703962,
      0.443724508472175,
      0.602726015091154,
      0.771186674796045,
      0.810211181196055,
      0.68539174695226,
      0.681496805518228,
      0.661710648015468,
      0.579676075802811,
      0.601994566948282,
      0.674495591307007,
      0.764030137116165,
      0.679395113857961,
      0.904972431205305,
      0.817582400543269,
      0.634591094887345,
      0.70519348540253,
      0.722289724498499,
      0.739870003585863,
      0.764937653292549,
      0.641059872172815,
      0.908300373564948,
      0.624057973512781,
      0.706359569675914,
      0.501789778365224,
      0.786294772409404,
      0.75715916406167,
      0.69478805196046,
      0.520770795191779,
      0.788268183135567,
      0.725580772506824,
      0.519991215817806,
      0.720827328267246,
      0.602660073343438,
      0.813879008226624,
      0.511134882083512,
      0.723117440959812,
      0.705378684995651,
      0.595460589365855,
      0.752769471366655,
      0.665725852787748,
      0.63800011349192,
      0.660967336871633,
      0.688451793992322,
      0.641508807549363,
      0.633043680125489,
      0.752868132857274,
      0.664629810159167,
      0.697154694169612,
      0.636804581121673,
      0.69765306929473,
      0.621491890701274,
      0.734814200903606,
      0.712473028618354,
      0.677794760048467,
      0.805951593361706,
      0.651487730150219,
      0.741615703765265,
      0.610620249994551,
      0.711804207510359,
      0.706550483245017,
      0.746355728680503,
      0.613850689451658,
      0.802630474674904,
      0.6485718817624,
      0.647588822705863,
      0.729549053574618,
      0.791758636361911,
      0.703474643806712,
      0.825521253962416,
      0.78870424161453,
      0.67264714412814,
      0.625009232176893,
      0.633398373046054,
      0.632346143168367,
      0.70027226839411,
      0.686726946634094,
      0.716538609472423,
      0.800684279019777,
      0.604443715500749,
      0.659708458428534,
      0.533351941441907,
      0.53679011413369,
      0.55486999326665,
      0.553351960599405,
      0.564378654056974,
      0.546646977946073,
      0.538960819494469,
      0.435262160434878,
      0.465922636589629,
      0.564588240944343,
      0.579533095673108,
      0.544822156695111,
      0.582221215737839,
      0.5402996462931,
      0.592895384059176,
      0.531305409516942,
      0.612890850572598,
      0.639951647370659,
      0.662449017452258,
      0.652215145207132,
      0.702968832266722,
      0.618069889895149,
      0.530849885726836,
      0.586065170620582,
      0.787381097539759,
      0.708652338268563,
      0.643159627364578,
      0.636984000925038,
      0.71639475627767,
      0.789425771430826,
      0.599650908199761,
      0.707513638931938,
      0.748280170706965,
      0.510330306409465,
      0.519709196812205,
      0.709771838135129,
      0.850523407541787,
      0.647300104279683,
      0.513476451834493,
      0.721960845754574,
      0.496290058855577,
      0.584837263433799,
      0.642225767859344,
      0.69685208952971,
      0.639994400325223,
      0.620884705221175,
      0.683963848591442,
      0.674561063025065,
      0.700481965243666,
      0.737104892756782,
      0.760678067083284,
      0.728301474162812,
      0.631938081033059,
      0.574002962604628,
      0.586582522015585,
      0.670395190819964,
      0.536266239947482,
      0.706932569598765,
      0.703718750942097,
      0.723705239286187,
      0.673515836702075,
      0.68929668982172,
      0.728741912614523,
      0.457912786224281,
      0.719690761501807,
      0.638182368163192,
      0.667711750185336,
      0.639122861088025,
      0.660355442233106,
      0.685469416275134,
      0.714660340666612,
      0.730107791927729,
      0.683690684412582,
      0.802014885910765,
      0.673280264550629,
      0.689059534196235,
      0.656602967463918,
      0.729999033688642,
      0.747013837903457,
      0.703733651252275,
      0.72526589089064,
      0.769678380301502,
      0.724585698538888,
      0.658949537760596,
      0.656064846602901,
      0.758553938580993,
      0.657486024614954,
      0.793831428857115,
      0.7645590182546,
      0.629874347746552,
      0.655483692938837,
      0.728897345237779,
      0.537817709436297,
      0.617805271376335,
      0.674741947983773,
      0.665576608661565,
      0.77412411581463,
      0.55671747989092,
      0.648499737757771,
      0.691151292938934,
      0.722141003450912,
      0.726914232924006,
      0.77045207935419,
      0.736785225917415,
      0.605061616771471,
      0.685611390945206,
      0.648151638342732,
      0.687292747248144,
      0.726400743915607,
      0.741448427357273,
      0.726531011127977,
      0.650822268517741,
      0.65870593686807,
      0.628717158516614,
      0.465333352463819,
      0.393751066393659,
      0.343798229828988,
      0.445610650890629,
      0.38695711009801,
      0.411436884226926,
      0.35878510361686,
      0.457681591967319,
      0.385281785228174,
      0.453557549568842,
      0.433556695186911,
      0.403095787517895,
      0.471412062208493,
      0.449348916904824,
      0.389595330933286,
      0.517995715089271,
      0,
      0,
      0.591549962339548,
      0.58768227394258,
      0.498307332891392,
      0.382660436786412,
      0.455665785080737,
      0.602046801840428,
      0.57023604024504,
      0.609790703706949,
      0.55924417259345,
      0.531068713372705,
      0.417422648038323,
      0.483655660718504,
      0.56720782743035,
      0.678031140078914,
      0.625974967768658,
      0.695644209345189,
      0.596404716021602,
      0.701435391045402,
      0.634797484579294,
      0.5682138200669,
      0.732923782524755,
      0.622531285449273,
      0.696773349283782,
      0.613232490339977,
      0.692280829524436,
      0.593505310005746,
      0.638135104329009,
      0.712737703289758,
      0.704259640267745,
      0.605700121750775,
      0.630319009602269,
      0.647466678457381,
      0.635393241702745,
      0.556780298556189,
      0.473685027193699,
      0.878530114643282,
      0.844149586696573,
      0.718067808691542,
      0.647336377716218,
      0.801995092886482,
      0.790308747365403,
      0.528196316524528,
      0.652578339889399,
      0.835105638836603,
      0.657621818864242,
      0.68673071192154,
      0.712637439985263,
      0.8362405315861,
      0.570586427054856,
      0.632065062829127,
      0.860625068527516,
      0.708775689599233,
      0.845657682948331,
      0.591823213359018,
      0.922896818602414,
      0.547701545927838,
      0.59417530639105,
      0.789291780285016,
      0.844252605042084,
      0.628417833459491,
      0.562765431931924,
      0.634331318135156,
      0.503548807025106,
      0.696855818607361,
      0.89452830904486,
      0.645703595795791,
      0.673971285226351,
      0.813787970968504,
      0.913348543091392,
      0.747943822692855,
      0.851443769367677,
      0.785876249478707,
      0.872345539982943,
      0.761257022864337,
      0.777083834851452,
      0.826042054905692,
      0.689443333457101,
      0.730800421840792,
      0.758023795535166,
      0.936268919199572,
      0.909430290481174,
      0.841706364492966,
      0.651768920107207,
      0.666132108423323,
      0.620596614867892,
      0.955924079445692,
      0.929534093750524,
      0.660854206453206,
      0.754616422603375,
      0.815786008164443,
      0.724059787509474,
      0.587714955162426,
      0.873079852983063,
      0.756321212735218,
      0.633942877093074,
      0.828548433480737,
      0.759549315201873,
      0.557078750099993,
      0.642555366381021,
      0.887562899160889,
      0.850867370408422,
      0.669583255007527,
      0.883479010653721,
      0.79971832773815,
      0.621263266163766,
      0.868620648288141,
      0.772778358510279,
      0.664955746602676,
      0.881471399213915,
      0.839707060512888,
      0.880388675579434,
      0.661215047798107,
      0.636387497529239,
      0.841392703075369,
      0.725974921353728,
      0.829387353704967,
      0.791796268896385,
      0.931382192470753,
      0.769120890073112,
      0.595874035771347,
      0.577279240172166,
      0.637479150580122,
      0.691195095773974,
      0.804262176084329,
      0.855665312530392,
      0.534360114400049,
      0.578420262971259,
      0.690708370862062,
      0.842041794003238,
      0.712371006976983,
      0.852282661792736,
      0.866118302260072,
      0.685459098489403,
      0.690691161336825,
      0.722879044510708,
      0.703683069318038,
      0.66232158997562,
      0.784535518619846,
      0.885524502985778,
      0.883237950656897,
      0.50786980997264,
      0.731677952215649,
      0.728203899628361,
      0.670498941002516,
      0.731598360759928,
      0.731366302048429,
      0.734356667945605,
      0.654303780086816,
      0.68529111079465,
      0.572520753129204,
      0.700405665057944,
      0.608353991525394,
      0.569506679637371,
      0.758155663006145,
      0.634901497722093,
      0.699331241222312,
      0.596427435391756,
      0.733596938775688,
      0.798261270347446,
      0.74186564755091,
      0.747028449545127,
      0.561180871507559,
      0.661546801884063,
      0.621158061328415,
      0.745676980243092,
      0.693324118237289,
      0.72672863962802,
      0.836188678118882,
      0.61453585830821,
      0.697365243579281,
      0.535007740809033,
      0.622488884728137,
      0.780377329992911,
      0.705269684069993,
      0.794946292004054,
      0.787477253506203,
      0.626687792884074,
      0.447190684401279,
      0.52689750407729,
      0.751404935500017,
      0.682231178896698,
      0.766060503356443,
      0.624104657978408,
      0.700338800554892,
      0.525991656142105,
      0.689460046161309,
      0.654126709810871,
      0.735656087639755,
      0.653409883255484,
      0.806079195139244,
      0.68671561431888,
      0.618012991758476,
      0.480901178551301,
      0.628113378806894,
      0.643475987985731,
      0.794787424082882,
      0.718862557951921,
      0.750447118466468,
      0.857898572162538,
      0.62187068045944,
      0.580603455404532,
      0.923335197924307,
      0.746172922355612,
      0.908957242367401,
      0.631627182649753,
      0.597694749792389,
      0.860527899389871,
      0.835710021278965,
      0.667683797613279,
      0.717374792098797,
      0.78688545421758,
      0.695519659311198,
      0.901234808327353,
      0.93263177424166,
      0.599609194405095,
      0.610801757113292,
      0.769845810600126,
      0.849250508747158,
      0.657780626678432,
      0.753620427807225,
      0.78946289108742,
      0.662299977628583,
      0.741477414871063,
      0.547882330878092,
      0.517983040148608,
      0.905870732200575,
      0.593546471379147,
      0.8342519452027,
      0.542048235673917,
      0.926094076138071,
      0.717616589899535,
      0.808484675036283,
      0.692098784621598,
      0.795525694672032,
      0.776505830879445,
      0.648973378289768,
      0.745148718047338,
      0.743996805361903,
      0.919643510833056,
      0.879365113283827,
      0.842154828373239,
      0.820520575886903,
      0.768345048995275,
      0.676444497708072,
      0.790072905370178,
      0.816587961524112,
      0.679808896222417,
      0.879230121619288,
      0.904892885110122,
      0.733822132884987,
      0.77096286731201,
      0.866803068188673,
      0.676352200572709,
      0.832356549257674,
      0.738002443955528,
      0.832754902566231,
      0.776219453874171,
      0.681095286588114,
      0.689504862739517,
      0.608051393749397,
      0.498646584926178,
      0.528178320317842,
      0.860427437566499,
      0.793538489914731,
      0.650038517768433,
      0.761704035613772,
      0.661035006810672,
      0.736922020688258,
      0.876451218812649,
      0.693205880751343,
      0.754276710777192,
      0.720103018978961,
      0.908942655484202,
      0.699412288569773,
      0.663533570991423,
      0.712890464413512,
      0.833189775537257,
      0.924708779219593,
      0.790476845371002,
      0.877182609789278,
      0.677710796271124,
      0.691507054963702,
      0.579642049901119,
      0.883838024588072,
      0.641664336708992,
      0.915983221839255,
      0.830688479529125,
      0.706061886633725,
      0.422976311619065,
      0.627996855046249,
      0.946254681770321,
      0.741029155993288,
      0.629459560380472,
      0.696919463509217,
      0.768191493721356,
      0.527995235784969,
      0.663948813926271,
      0.727631296426224,
      0.888877331672916,
      0.663367942064054,
      0.860276780684353,
      0.832270590620272,
      0.662832146126351,
      0.684613439768267,
      0.638737698294188,
      0.792005405287911,
      0.808958972925004,
      0.633187633960182,
      0.952309140870069,
      0.611252608647521,
      0.715459885784658,
      0.481044936968338,
      0.776476430896316,
      0.794011715442859,
      0.613004510217061,
      0.562999469008624,
      0.734147999462664,
      0.757331608703708,
      0.508654708013085,
      0.524741396838242,
      0.604151950684572,
      0.807290551366012,
      0.590327357970653,
      0.745010806334021,
      0.673131094127639,
      0.587333789572859,
      0.725360890052737,
      0.726144938351198,
      0.622525400032741,
      0.702622566443562,
      0.726509674887297,
      0.705485825847814,
      0.621977461191093,
      0.681637925523378,
      0.619021004728266,
      0.668239598621474,
      0.625017750817219,
      0.714509326606963,
      0.593029009346635,
      0.766076486764587,
      0.652092818434917,
      0.703022220336499,
      0.789682842254799,
      0.668950422155504,
      0.738241259149795,
      0.644651233853621,
      0.716735790722574,
      0.572042551614141,
      0.697828611993018,
      0.627958487460238,
      0.747890875972869,
      0.69754246467657,
      0.675270858768562,
      0.747826472073884,
      0.749098766988514,
      0.671236279297527,
      0.847287732046807,
      0.767982974929772,
      0.648473004639858,
      0.593305572699963,
      0.61219753760902,
      0.648265984091512,
      0.648877518579455,
      0.705314879685391,
      0.691745643791871,
      0.849727885191123,
      0.56316738460529,
      0.727206161970093,
      0.552593034997477,
      0.518878412258773,
      0.579356204065093,
      0.561160460247304,
      0.585283695007748,
      0.586430056746311,
      0.54080762623882,
      0.801793983401513,
      0.605474366905106,
      0.719647620940404,
      0.575956312703204,
      0.609670585099031,
      0.649121038094137,
      0.640207501427481,
      0.597081272628574,
      0.509947863611735,
      0.589920869437087,
      0.641337759126269,
      0.648944782205102,
      0.651328182502043,
      0.640895470238935,
      0.612039852129563,
      0.516947045784881,
      0.549058021934945,
      0.788745170644846,
      0.699091094862801,
      0.643087238192868,
      0.635876126408883,
      0.749913662587391,
      0.808153995545542,
      0.657320557921919,
      0.644933008429929,
      0.604882980185793,
      0.515495752913235,
      0.539329378354213,
      0.671481580695484,
      0.776917054060606,
      0.605465522368012,
      0.470658827503749,
      0.735834331656759,
      0.578838830745351,
      0.623279253500429,
      0.670024240578033,
      0.77219194721368,
      0.671887750259015,
      0.61242407671291,
      0.664468705728421,
      0.687948681116518,
      0.707638702481955,
      0.73977778618827,
      0.735659386373886,
      0.680110445988627,
      0.617075329158938,
      0.5711219326787,
      0.587318587516388,
      0.664369926748362,
      0.510590691252569,
      0.639767564381759,
      0.74331268440221,
      0.63664434451769,
      0.677953251505614,
      0.713604827055851,
      0.748577919312276,
      0.48025128727947,
      0.557154037134867,
      0.554461364014702,
      0.656857498350188,
      0.63500773285314,
      0.690426320966701,
      0.64670328503199,
      0.725173868767578,
      0.653664196104416,
      0.708192810314781,
      0.787110939793925,
      0.613055166806403,
      0.718643393473605,
      0.682891620544006,
      0.717899848062706,
      0.720087950063327,
      0.688367778470112,
      0.716491090870139,
      0.727144552815592,
      0.733730345518429,
      0.666702785570521,
      0.71524465102611,
      0.718934249271507,
      0.637749491505077,
      0.790820223427429,
      0.753458384531641,
      0.710803138768367,
      0.602570381256895,
      0.720830464476695,
      0.553654414014401,
      0.623010250049323,
      0.619507697068102,
      0.541830361813448,
      0.799378106475234,
      0.580166749189294,
      0.666484106861348,
      0.656424525261931,
      0.736819831842351,
      0.752896297401159,
      0.787760403191112,
      0.743064987396402,
      0.59978142364628,
      0.65191504601187,
      0.65863892705714,
      0.722695082727825,
      0.724364186214546,
      0.713931733975107,
      0.788354138187403,
      0.638767576118073,
      0.658718740623212,
      0.674746851550527,
      0.513071092494394,
      0.439654350717984,
      0.465238609894356,
      0.504866061283072,
      0.474843086089702,
      0.517495260259181,
      0.477106864493676,
      0.570654830292972,
      0.44427492295223,
      0.541752918058497,
      0.5543049884054,
      0.450618271547612,
      0.527635296810481,
      0.463540820260472,
      0.368145239937236,
      0.484887764084392,
      0,
      0,
      0.435925448047728,
      0.649643117118553,
      0.542505022391286,
      0.439290052439138,
      0.396895917228282,
      0.609691251499669,
      0.46550708451957,
      0.452612154712776,
      0.599062500984854,
      0.583707360104786,
      0.436157178584102,
      0.50117004897098,
      0.610415238541282,
      0.775583891389645,
      0.480833942875773,
      0.566145590285132,
      0.51938307645909,
      0.561909508914643,
      0.514692759768388,
      0.463928448223504,
      0.596994703401983,
      0.422080492848245,
      0.572803380821944,
      0.500879250332162,
      0.55714207132029,
      0.54412006620833,
      0.488737017593195,
      0.727463902335219,
      0.666011637605186,
      0.532498977468457,
      0.51736517729229,
      0.569116149658624,
      0.590481116031515,
      0.500652089117765,
      0.583104749652107,
      0.851074715638526,
      0.703328448225369,
      0.536237201414677,
      0.502690267670008,
      0.783844940442361,
      0.712121807457918,
      0.494976347647706,
      0.627066643413734,
      0.696231375387804,
      0.556607967042902,
      0.552881610967279,
      0.686336996671782,
      0.694418193046883,
      0.61369241799932,
      0.499062549661402,
      0.792070506946264,
      0.589015171248828,
      0.736377579838557,
      0.530783539891666,
      0.79714766125115,
      0.507565515541918,
      0.563560891494966,
      0.604085237019892,
      0.684419863877303,
      0.423126445405567,
      0.535315851554771,
      0.572366713126991,
      0.536435092156299,
      0.606522242276816,
      0.745300255823477,
      0.570554097650665,
      0.698935545671739,
      0.455503833653937,
      0.790657247370477,
      0.703169013051316,
      0.764858749505446,
      0.60200387862363,
      0.825092142270806,
      0.757536284879686,
      0.610301195195311,
      0.65635584127357,
      0.52687182672131,
      0.682115260630443,
      0.552138510898435,
      0.800902523859951,
      0.801867948180247,
      0.613793769311524,
      0.528098477478232,
      0.61690439009531,
      0.566885024217095,
      0.851732519959801,
      0.862714735489705,
      0.710208497724822,
      0.752977884508223,
      0.674617350216069,
      0.539382611191326,
      0.511316783037846,
      0.823025011603147,
      0.640944884043727,
      0.587894594013546,
      0.753551302718627,
      0.731463152872773,
      0.614198726619836,
      0.717967795702773,
      0.777994250219305,
      0.839594481262989,
      0.729559614819097,
      0.827599396493702,
      0.699449334722868,
      0.594996432586275,
      0.895421713121405,
      0.641081667681534,
      0.577746024312769,
      0.860965670112703,
      0.696930450211027,
      0.642538747573398,
      0.502747288581195,
      0.502436757449999,
      0.839756974714187,
      0.653983760102978,
      0.724347004815736,
      0.688741945583487,
      0.810830838522321,
      0.635763524975703,
      0.546788482099839,
      0.478115295336454,
      0.57699596111678,
      0.655717925480092,
      0.708399959932293,
      0.575250755296107,
      0.480094348166879,
      0.618409007722223,
      0.584715164935788,
      0.743659407418011,
      0.680951160905187,
      0.808814210544923,
      0.724174747763972,
      0.633774185654931,
      0.856158394333483,
      0.702865013849954,
      0.576501707543899,
      0.547069971363645,
      0.613039365083499,
      0.894554682230704,
      0.68717391908768,
      0.526957258580782,
      0.694645826193848,
      0.672742944200446,
      0.601735234173766,
      0.7233873441489,
      0.596631305989664,
      0.68399338756703,
      0.577374861617199,
      0.67738570536385,
      0.606164747738708,
      0.685954627307195,
      0.607240533515971,
      0.604137284423705,
      0.744724646934528,
      0.55117669148864,
      0.630980229258496,
      0.519240263330301,
      0.686579296007889,
      0.736267530932745,
      0.694089417255744,
      0.64462106654762,
      0.586626283720583,
      0.565504952362188,
      0.519384297909434,
      0.773483313510137,
      0.775636797939698,
      0.630799743265633,
      0.727730827603979,
      0.61570435869224,
      0.602094763605175,
      0.572384373248197,
      0.592701050408208,
      0.766863863780337,
      0.674121019753822,
      0.735094264798993,
      0.646599843436372,
      0.630228312400066,
      0.463840430527478,
      0.508629790846265,
      0.773231686545642,
      0.704834993287,
      0.711450798540586,
      0.624217454741262,
      0.732545894079653,
      0.490721774483802,
      0.637177416315706,
      0.544368225833337,
      0.678240263956814,
      0.678266781716049,
      0.72797708264133,
      0.613805640660679,
      0.456976752654505,
      0.536982883524816,
      0.584584873653692,
      0.606593739081853,
      0.665900555940253,
      0.554996946779725,
      0.671465691388545,
      0.747573814554571,
      0.571392216792472,
      0.705557745944433,
      0.72934283548872,
      0.600184715031685,
      0.790302514945307,
      0.533339426295251,
      0.587186495734741,
      0.56494671859176,
      0.586972513112077,
      0.416588812171469,
      0.66448560453341,
      0.705205374134068,
      0.68112721924882,
      0.736967970410992,
      0.774458062405185,
      0.616531595867938,
      0.464559918784054,
      0.58316221548975,
      0.735837796265705,
      0.611207364749574,
      0.418193931128533,
      0.570861285779551,
      0.557093022214249,
      0.555110191107539,
      0.464704675568419,
      0.52258516165771,
      0.757836652558969,
      0.477077906736148,
      0.734758425859506,
      0.564018997956886,
      0.740751965289639,
      0.558230846150571,
      0.67124169726101,
      0.613675956210379,
      0.82247903305259,
      0.519177324876887,
      0.439205209800036,
      0.632806774228629,
      0.652960298283326,
      0.71106007146032,
      0.742067061505883,
      0.756476285264117,
      0.676603404216893,
      0.591911308222254,
      0.612067243096735,
      0.747714764260388,
      0.692629652724017,
      0.542994556964839,
      0.688252314134408,
      0.823724563711059,
      0.751420128162303,
      0.557604810342625,
      0.659553400418478,
      0.561404350009973,
      0.637472555245134,
      0.687052207501215,
      0.740316288855468,
      0.842523254042331,
      0.598111664863385,
      0.693555744943142,
      0.570192322309055,
      0.494807904445053,
      0.579966075373332,
      0.750086094931421,
      0.754857870712954,
      0.724954652050421,
      0.760706637867968,
      0.588319051391408,
      0.7149866246905,
      0.773982498295468,
      0.599301606089643,
      0.925227190892003,
      0.680822261913937,
      0.792815978317106,
      0.606537144855666,
      0.655987620717103,
      0.696918220917239,
      0.673689086800538,
      0.903903209731005,
      0.795987430441103,
      0.873554896641787,
      0.578909623799557,
      0.536119422781335,
      0.552895704315078,
      0.857798623828813,
      0.576575742581248,
      0.875946792073834,
      0.814395997927352,
      0.492015889922594,
      0.445596474970425,
      0.597790765868432,
      0.8845129696028,
      0.642658449705429,
      0.566000999362803,
      0.643787356838894,
      0.698486662900014,
      0.609524051521033,
      0.728014145466112,
      0.607986337224305,
      0.882620904797458,
      0.780486056445362,
      0.547199385188697,
      0.608792156141396,
      0.588310287122149,
      0.562859632184794,
      0.540889872913062,
      0.64110295953114,
      0.680232871389813,
      0.571036489473335,
      0.778255826522342,
      0.569531789479327,
      0.537200091551836,
      0.419490536842705,
      0.658687048041447,
      0.712703481120643,
      0.586047258646019,
      0.519682019731167,
      0.702407986232351,
      0.624179429650001,
      0.441699728916356,
      0.467719488928331,
      0.639514219595465,
      0.737686965121467,
      0.521043961125904,
      0.636909667154467,
      0.743176080222932,
      0.432310848302125,
      0.569251084165303,
      0.608659084163157,
      0.580214845228457,
      0.645794159778571,
      0.566923475705231,
      0.674216609379506,
      0.548325544918447,
      0.563597536599298,
      0.633068779271533,
      0.527247859739632,
      0.535050376588008,
      0.565623515605317,
      0.455579828584804,
      0.7753826186026,
      0.54994603529535,
      0.64325864711446,
      0.690332606898241,
      0.662556437398922,
      0.609296480774347,
      0.547252450136571,
      0.690957578504793,
      0.582851251137244,
      0.762921065071913,
      0.563321480520815,
      0.763598603136617,
      0.719313454704694,
      0.552438144280539,
      0.64093881663348,
      0.657232680467666,
      0.621616268129881,
      0.776284249853585,
      0.679594898092777,
      0.599137442463044,
      0.582105973825556,
      0.53485872940976,
      0.62170606613466,
      0.727257713543233,
      0.739571769548285,
      0.568345675277465,
      0.735536020622107,
      0.611771719695099,
      0.649030096508498,
      0.456258960704119,
      0.543603935258071,
      0.582226786698313,
      0.62223441945272,
      0.65740902593125,
      0.559875110825184,
      0.810281556169546,
      0.925360484591514,
      0.696370164490241,
      0.879374166246357,
      0.510730881800894,
      0.657976176403711,
      0.680012855159779,
      0.722895257570228,
      0.674477329323646,
      0.562350106429706,
      0.555246041924083,
      0.796243815192202,
      0.60429419106659,
      0.448544025004342,
      0.569405464604267,
      0.646624526684046,
      0.489276980287782,
      0.523151920564933,
      0.78020249338724,
      0.670117072821761,
      0.456654952072348,
      0.584209714023426,
      0.685468509507679,
      0.683905889936261,
      0.767342504974187,
      0.637189725549043,
      0.56961476933418,
      0.466539054055992,
      0.44457207848657,
      0.604729931462775,
      0.566602270425158,
      0.446614528794443,
      0.527518219998644,
      0.732185718947637,
      0.633972257758968,
      0.713750997899686,
      0.616749924037862,
      0.679889045420455,
      0.789773392252121,
      0.456935033400151,
      0.461402710634386,
      0.60775406135985,
      0.564843378910907,
      0.539716814956163,
      0.617062659490499,
      0.539354233007935,
      0.495907732914137,
      0.43846563244906,
      0.553806571665654,
      0.55148423991299,
      0.449426502300794,
      0.568203044395876,
      0.649773401326594,
      0.622896219346492,
      0.589536355469679,
      0.566698127682564,
      0.68176019048731,
      0.480084561125907,
      0.475347320955937,
      0.579801703201698,
      0.611885327922757,
      0.48991862006566,
      0.502532604970385,
      0.556495218192508,
      0.733812771814025,
      0.595573195740068,
      0.631057497879547,
      0.639999165275708,
      0.594016078618204,
      0.575459256528449,
      0.522836095452119,
      0.708924511153264,
      0.653804910373544,
      0.74432732998075,
      0.590373073618721,
      0.729313381350841,
      0.606113899308428,
      0.502816916379781,
      0.687666560798584,
      0.657027802346559,
      0.581946651035747,
      0.749927657784324,
      0.639182928565713,
      0.695525828872247,
      0.579067071187713,
      0.647011818998256,
      0.612821376727863,
      0.686803462247276,
      0.652610569792432,
      0.528178791450914,
      0.724723753879195,
      0.556380963112251,
      0.628305862863605,
      0.520149983804087,
      0.673734278578355,
      0.708732035885057,
      0.724152132098494,
      0.662889798401656,
      0.561882645981358,
      0.573773953143214,
      0.50349817580149,
      0.741461473447114,
      0.800653286716488,
      0.617071703132949,
      0.690368053960512,
      0.549040650875147,
      0.578136432120319,
      0.598780139808734,
      0.459772061803408,
      0.396846809766544,
      0.493494935079298,
      0.531359542090976,
      0.472217651287646,
      0.536408462940606,
      0.477847375812484,
      0.578141508429559,
      0.416148132367739,
      0.55435192673032,
      0.592201176588261,
      0.478393365085917,
      0.535697144597416,
      0.452295511662515,
      0.305174193290871,
      0.433770301313773,
      0,
      0,
      0.693936296777969,
      0.700701660617558,
      0.563738365110411,
      0.46008640018431,
      0.511306736774892,
      0.728854665665008,
      0.728390481408613,
      0.731601033660332,
      0.732364134316429,
      0.606383300576223,
      0.542609692614714,
      0.471916170049952,
      0.613259718835283,
      0.682113873198939,
      0.488332327681185,
      0.557646662294278,
      0.58491258829618,
      0.565628489339073,
      0.575345220371216,
      0.459921073360401,
      0.589718663858977,
      0.453162701671858,
      0.588633225641609,
      0.528498122140298,
      0.564054712706306,
      0.529840384438686,
      0.494774438582864,
      0.771261159221345,
      0.672847675278578,
      0.643377590157059,
      0.632991673171146,
      0.673358206363539,
      0.586322682473334,
      0.453949067237575,
      0.590239564800536,
      0.767058746287977,
      0.664528523970858,
      0.614559528558299,
      0.646623033278173,
      0.77285315607073,
      0.654430022703446,
      0.505899022664816,
      0.546651072125039,
      0.551567695143806,
      0.557078658052061,
      0.492818361307564,
      0.6587473750658,
      0.646730798494728,
      0.664849098949903,
      0.504644776385383,
      0.521766489983366,
      0.592085906350319,
      0.493782293070699,
      0.537446130451689,
      0.692221925168218,
      0.581111567403688,
      0.602931307624553,
      0.505318358650025,
      0.669071476499204,
      0.605453811846551,
      0.649501811088223,
      0.685489937806158,
      0.753128947902887,
      0.607413177612123,
      0.586692530424908,
      0.54375008951452,
      0.685922956464626,
      0.651807464973442,
      0.494958664058719,
      0.728681958257734,
      0.613326368099787,
      0.440268574309661,
      0.692513110813397,
      0.756487425369539,
      0.547277543290158,
      0.547413405416647,
      0.625241906584572,
      0.661292069674655,
      0.53647814527934,
      0.54818468819,
      0.652489952855352,
      0.550730191496884,
      0.439210839714258,
      0.71146087471117,
      0.551923778634093,
      0.618148846264836,
      0.614688199527585,
      0.610332357494447,
      0.757011905316425,
      0.67014437141161,
      0.587356055009165,
      0.638568928491152,
      0.621257129130275,
      0.552226617857254,
      0.584224385140477,
      0.665421306561598,
      0.716061521225254,
      0.521984920177005,
      0.637343502204171,
      0.613674660686136,
      0.562592022107539,
      0.792518135669744,
      0.649963215445383,
      0.607255068943797,
      0.714765866769636,
      0.758805962564286,
      0.584137057940292,
      0.593390050700503,
      0.789900234287227,
      0.555218416463602,
      0.459629041357973,
      0.586654344783406,
      0.508422255221641,
      0.664873104047807,
      0.658048191237471,
      0.702249727001771,
      0.550652617084526,
      0.494505867768895,
      0.557356794752737,
      0.667591615229024,
      0.614547100425448,
      0.665755351273203,
      0.704078616714466,
      0.700167740038288,
      0.472782385990291,
      0.522597507517906,
      0.568647994756476,
      0.607128038658114,
      0.582290287962447,
      0.750820906826656,
      0.701601598753393,
      0.651666912988285,
      0.534157105155498,
      0.799714704941945,
      0.695025644345649,
      0.567903001854059,
      0.435760403310516,
      0.549281632814827,
      0.793832333818856,
      0.58426551788137,
      0.595465819254049,
      0.687654425344862,
      0.632018118156894,
      0.646130145803236,
      0.683543206213339,
      0.582826864917916,
      0.632159999304173,
      0.570793801565435,
      0.642025473939977,
      0.730085134599564,
      0.72653029253006,
      0.627238555426908,
      0.680495547878853,
      0.636505968711213,
      0.456018481955443,
      0.638656988267416,
      0.491359867876124,
      0.555182719997573,
      0.689589715317652,
      0.561284401527178,
      0.645005005420693,
      0.547598909278295,
      0.58328319282017,
      0.531833762766454,
      0.694017205731665,
      0.764981862077923,
      0.583588480789647,
      0.563435806816841,
      0.637068911011941,
      0.519042325681102,
      0.530253233664696,
      0.504861299542755,
      0.745785559807839,
      0.684508209906553,
      0.676428779935104,
      0.597296625988426,
      0.591464075061199,
      0.512171039850434,
      0.458482125776768,
      0.790040175041566,
      0.77044762373414,
      0.584463991022668,
      0.476800308027979,
      0.629587248690394,
      0.577814986439816,
      0.54313248212892,
      0.576526954127131,
      0.646645384724518,
      0.689940943023246,
      0.617266038919603,
      0.608753569695819,
      0.558307820362448,
      0.566287565184677,
      0.724561023823535,
      0.66021983308287,
      0.642489307368698,
      0.503949773080677,
      0.454670581001728,
      0.642175248775921,
      0.560926769579197,
      0.851863563041813,
      0.512863346223475,
      0.620505531018179,
      0.634550610694432,
      0.691483438921972,
      0.613546083403682,
      0.615463786286123,
      0.573976480364781,
      0.425393746720837,
      0.627402362211991,
      0.661196241729572,
      0.591289264891371,
      0.538259705937405,
      0.597818011185528,
      0.781248780233171,
      0.517879635381728,
      0.438741190050034,
      0.646555079072279,
      0.585095230209373,
      0.416261107355302,
      0.548414142143953,
      0.579706629375571,
      0.577577148946819,
      0.480851066335879,
      0.510035937950453,
      0.606910344118298,
      0.558985047195555,
      0.650116053630923,
      0.681850568731854,
      0.607360421642639,
      0.408329721479348,
      0.46861289060927,
      0.622764933549703,
      0.712606707380729,
      0.662317027705021,
      0.64172191597486,
      0.663118047743161,
      0.631729214288274,
      0.439082979033574,
      0.485021429759895,
      0.743692456743803,
      0.543445657143531,
      0.792371044743493,
      0.535482963663743,
      0.744556476755123,
      0.650225304229824,
      0.476974283282735,
      0.563678665767102,
      0.738899113681088,
      0.696135144946454,
      0.472560301511181,
      0.602336975600858,
      0.474713163102405,
      0.476608269359675,
      0.64416245873099,
      0.63010133987395,
      0.819918409830268,
      0.62022727622235,
      0.661641537966985,
      0.595400535548869,
      0.529814293470422,
      0.530958545853854,
      0.611896493638121,
      0.715984292885661,
      0.812678489319703,
      0.710857713129693,
      0.515880776849473,
      0.707013166859456,
      0.75293048177049,
      0.51571842256979,
      0.907942157029166,
      0.702636164240141,
      0.659678929453002,
      0.558051879833325,
      0.690730480089262,
      0.684508574811807,
      0.452122639811482,
      0.682067013309735,
      0.765718149896105,
      0.728532124670998,
      0.469469600759198,
      0.544928177537643,
      0.588733828012252,
      0.716701751711871,
      0.515974268971529,
      0.69063628940755,
      0.698343765279447,
      0.646546908474307,
      0.628397629788209,
      0.708774123527835,
      0.650337304106969,
      0.578470802938635,
      0.548956805632162,
      0.602323256544629,
      0.643552319551728,
      0.494205032395028,
      0.629896426149846,
      0.624754943272324,
      0.739354673780438,
      0.89564508265961,
      0.453909031674789,
      0.51785314336328,
      0.631343747912962,
      0.562619088017219,
      0.589371421618962,
      0.581944418829224,
      0.537847062040874,
      0.59977424377748,
      0.569415105755284,
      0.556821878021079,
      0.515439535427226,
      0.623585144998802,
      0.694342307917339,
      0.611031123474304,
      0.577513109230203,
      0.536513833078499,
      0.730185242297751,
      0.691570994661032,
      0.635558578411094,
      0.676613890314454,
      0.621876922042084,
      0.67279161111856,
      0.532054833180343,
      0.500211856215171,
      0.653752542805678,
      0.440173166950345,
      0.572102184650549,
      0.576889674778326,
      0.585435370075344,
      0.574852850960242,
      0.520142946615193,
      0.611651505539665,
      0.555586067922679,
      0.580271222866547,
      0.624918359391703,
      0.599310444137667,
      0.490569427600401,
      0.566257157711861,
      0.437481727205598,
      0.755953281584902,
      0.66877056445504,
      0.643133232006833,
      0.691424768068786,
      0.59678903703511,
      0.577817080480794,
      0.557165509349226,
      0.692475902447265,
      0.727732582970806,
      0.745131146707291,
      0.621225382343111,
      0.758421187579095,
      0.646339982134218,
      0.488623781770425,
      0.706257835910184,
      0.575926262660789,
      0.497074516858769,
      0.682618247831588,
      0.616240168604013,
      0.566589557556601,
      0.54511708858336,
      0.567392691789854,
      0.613325057129193,
      0.68189473258825,
      0.703321035760356,
      0.56106888915564,
      0.597476236627025,
      0.588340493525497,
      0.563220615086694,
      0.493339530581379,
      0.621838947264204,
      0.738240774374376,
      0.757356812769047,
      0.810480645181298,
      0.609346790721622,
      0.886972876451159,
      0.806363967458923,
      0.651258840570194,
      0.816236842740425,
      0.663503815942498,
      0.597165930070564,
      0.580013186866423,
      0.788993337633599,
      0.695223174933567,
      0.617685232860276,
      0.828985640402181,
      0.800863894884585,
      0.588385817422445,
      0.466591923265692,
      0.686326279437807,
      0.874259989175196,
      0.522773285078648,
      0.70298871109795,
      0.777164940496188,
      0.793629478406427,
      0.503900435476422,
      0.76028621746431,
      0.654548446159165,
      0.515557962225308,
      0.745349925810779,
      0.595669996758124,
      0.682293336430575,
      0.600989532243941,
      0.667835943266421,
      0.660587121957021,
      0.547105795599092,
      0.455138416652673,
      0.614727799496138,
      0.716461848113794,
      0.571463162780134,
      0.654211990555976,
      0.551771859333724,
      0.608580828750293,
      0.865983583290316,
      0.400881272301248,
      0.473986380527803,
      0.584730453603888,
      0.578425718747892,
      0.501705133393479,
      0.628945729562268,
      0.568364217997144,
      0.561850144442783,
      0.572855507939156,
      0.565373664592415,
      0.480934054365126,
      0.59165425842793,
      0.648935853000868,
      0.686089934966377,
      0.566991241577203,
      0.518302497813721,
      0.540381861719933,
      0.693469603553099,
      0.617009005411807,
      0.66993136182721,
      0.661372165518174,
      0.630761291917864,
      0.499852635355193,
      0.437606366224449,
      0.527736754265012,
      0.727134100819541,
      0.584917278208345,
      0.465917217070542,
      0.614164256149429,
      0.601007655701329,
      0.541455895418965,
      0.472316688452091,
      0.726237045422339,
      0.630661018737455,
      0.677599069300039,
      0.639769758394731,
      0.732766095762035,
      0.568899656928059,
      0.440008344364743,
      0.704117082602496,
      0.639652787211149,
      0.616091180768058,
      0.700076871298363,
      0.597799120111779,
      0.625548039120242,
      0.521837428525833,
      0.64328705872974,
      0.707963563845617,
      0.721302741634863,
      0.614293261331422,
      0.684079022063979,
      0.616912805600237,
      0.48116379772051,
      0.60824128540442,
      0.552582925923582,
      0.608015688936044,
      0.731369035755983,
      0.620149129211299,
      0.620167825003291,
      0.590004467937355,
      0.610397226652408,
      0.505588676513285,
      0.678338708639096,
      0.779237635440633,
      0.57396353254311,
      0.559931134449338,
      0.625482294420089,
      0.498471349122259,
      0.480780421755549,
      0.444235533524782,
      0.413697568227653,
      0.417409646782969,
      0.437872920435298,
      0.41002373322851,
      0.487088351542341,
      0.415311818481004,
      0.519234163295548,
      0.41313623336696,
      0.48460347614671,
      0.533660915892228,
      0.462214049576307,
      0.514811444362064,
      0.418394828088067,
      0.290019639280995,
      0.405826503452229,
      0,
      0,
      0.687294126282944,
      0.59822957627876,
      0.498774420803106,
      0.38493427815772,
      0.5054216132185,
      0.735844492599382,
      0.732603894664248,
      0.741039474270691,
      0.695332910938465,
      0.533792064864353,
      0.59558213236287,
      0.587373979667245,
      0.585733060740662,
      0.666710092388877,
      0.670849172950401,
      0.711337006723677,
      0.761287343981117,
      0.826585036308246,
      0.718207588104898,
      0.668278426820137,
      0.665304085341523,
      0.685982845859484,
      0.69235186868106,
      0.701173952334379,
      0.802522407755132,
      0.560903016379357,
      0.724660843957847,
      0.78282835034118,
      0.680338662068041,
      0.653403454308103,
      0.628236345037963,
      0.617868308779428,
      0.607555835220553,
      0.443629404988233,
      0.629376757069853,
      0.776371750528843,
      0.660642780567101,
      0.623196636347543,
      0.653360937064457,
      0.77647803510023,
      0.647110792902053,
      0.559147377412467,
      0.536093737175569,
      0.599861576944972,
      0.67190077781734,
      0.677710490993427,
      0.704298562215592,
      0.724608681448688,
      0.714647421199645,
      0.696696636193672,
      0.638644957493276,
      0.581558453982517,
      0.575329036759857,
      0.690242667672055,
      0.683531588226436,
      0.717769724035775,
      0.648155708253923,
      0.506240936365308,
      0.606630647498492,
      0.592523688883139,
      0.656650955207012,
      0.640037867994907,
      0.875915335559769,
      0.592167039352702,
      0.572404181321304,
      0.479742715361106,
      0.668544746827214,
      0.648272849754558,
      0.567815038336551,
      0.735650978758748,
      0.607940398402933,
      0.634712476976161,
      0.651591163104268,
      0.772427260378232,
      0.656058127265732,
      0.590678267334572,
      0.679389557241289,
      0.704956720910934,
      0.7062267931732,
      0.742413422955657,
      0.612615716554319,
      0.668502664108663,
      0.536747775208767,
      0.746001574347825,
      0.655603165773809,
      0.617282207560114,
      0.572424844187499,
      0.597460855433745,
      0.739679027009403,
      0.655117435668908,
      0.582908420778741,
      0.642334333548755,
      0.546229669393872,
      0.512357383690566,
      0.542761110766153,
      0.619269865621843,
      0.685759232878897,
      0.616950300038677,
      0.60843055636685,
      0.683296251316498,
      0.779541640519616,
      0.796626891679174,
      0.734407603815618,
      0.653751103551672,
      0.685586707561925,
      0.707349377673126,
      0.701306438121419,
      0.777507266126049,
      0.698921101424187,
      0.667766745187477,
      0.643961846182917,
      0.640425285145681,
      0.742569752153478,
      0.632105080122739,
      0.600386438805012,
      0.602175910720382,
      0.519778490814595,
      0.393637580629239,
      0.54347247748939,
      0.657946761716822,
      0.624677512620481,
      0.663456027279608,
      0.654198710173784,
      0.692778629611093,
      0.499639463340162,
      0.575770289616055,
      0.567848279971639,
      0.69467519830205,
      0.691182624856518,
      0.77107812431107,
      0.743056648044277,
      0.55372140100237,
      0.606323589427093,
      0.753484512745236,
      0.719073635685498,
      0.633919719943242,
      0.721047941100388,
      0.754988419509098,
      0.754293256285559,
      0.673553893575729,
      0.698330300310795,
      0.712301235227505,
      0.635266537408741,
      0.652778310245241,
      0.715116783801006,
      0.581106393660374,
      0.547254597957148,
      0.549688122551587,
      0.582894029875916,
      0.70658883454746,
      0.723339969252879,
      0.700885986765119,
      0.652090785759655,
      0.66030570114926,
      0.480612363973942,
      0.679882389265785,
      0.546583522064397,
      0.660778346909522,
      0.705567015275068,
      0.645806510726998,
      0.660155307331543,
      0.74411314518013,
      0.714031621840069,
      0.763784041903038,
      0.766518278027182,
      0.666215493421819,
      0.671069359185015,
      0.721207223449983,
      0.789904602036939,
      0.744919026626208,
      0.607595456106199,
      0.547216484346682,
      0.759008599831851,
      0.674439012682073,
      0.705635346762685,
      0.592791721079947,
      0.590931342958546,
      0.453867714406887,
      0.482741404643051,
      0.76554923515048,
      0.797343281829214,
      0.593657455773188,
      0.574331724995346,
      0.600342353091008,
      0.737594515070776,
      0.760513843616931,
      0.695390926714441,
      0.618202107281179,
      0.697118528576897,
      0.705054757787143,
      0.746412899332552,
      0.748432542698735,
      0.801475778117282,
      0.824383877974958,
      0.752769359677552,
      0.680290388372707,
      0.654823838410517,
      0.645197381118996,
      0.568796585976554,
      0.492047429593877,
      0.809793450780256,
      0.482939376148053,
      0.574407501617927,
      0.648029698150817,
      0.709394289852288,
      0.567035553629393,
      0.517893098090247,
      0.504780359040206,
      0.527876338018538,
      0.599211279552538,
      0.677930540429885,
      0.637946973299749,
      0.662472651563762,
      0.653169854585743,
      0.876011438517328,
      0.702725936181685,
      0.633303361976937,
      0.616720448977158,
      0.720199275279052,
      0.678910746829495,
      0.697546802292397,
      0.742394329836783,
      0.686328125130008,
      0.584018672225078,
      0.555079105192412,
      0.601854775617598,
      0.612224683163148,
      0.644740631738827,
      0.630080331991645,
      0.51763285331504,
      0.391423948879046,
      0.466731382630554,
      0.567799726672948,
      0.656971253348597,
      0.679274265707741,
      0.634320868923516,
      0.679455101614224,
      0.622238751291986,
      0.447307511894591,
      0.414435485253677,
      0.715707471906434,
      0.679082367444562,
      0.839953692039677,
      0.721689823008255,
      0.739682812529137,
      0.718481453903654,
      0.54004645531725,
      0.676174288173743,
      0.72207047570669,
      0.684487699695491,
      0.674605190833661,
      0.683889843773995,
      0.708673872811675,
      0.626024144238224,
      0.663236880734858,
      0.60507352882757,
      0.71699723863073,
      0.620983429849535,
      0.653897953034551,
      0.506133375242334,
      0.514575525350255,
      0.593034708346206,
      0.562862792978599,
      0.665808354059387,
      0.812971155691803,
      0.667053254789661,
      0.599671375990275,
      0.718042779837646,
      0.727141281056152,
      0.592624851345662,
      0.678166558019767,
      0.711118822414803,
      0.646616644092144,
      0.66982492654458,
      0.734962076893824,
      0.750665033788722,
      0.616326674889414,
      0.729636272078206,
      0.775437321701069,
      0.669341450023554,
      0.507918906179067,
      0.68957093366518,
      0.731264571072081,
      0.684137320748451,
      0.473176723299705,
      0.604815716053811,
      0.630319223650944,
      0.652033002767544,
      0.623620628347061,
      0.676878685545638,
      0.658998237863749,
      0.610445103071245,
      0.632590421837056,
      0.658691142282479,
      0.60728958889476,
      0.606937443080339,
      0.656493057165202,
      0.768396224739244,
      0.797675891302723,
      0.838785545425971,
      0.665420555125908,
      0.641030677999864,
      0.780727563325722,
      0.686894700607061,
      0.761786976675134,
      0.800096524106837,
      0.781969615224732,
      0.762035541098111,
      0.678992759113303,
      0.684995820828387,
      0.776020118523564,
      0.695817022103098,
      0.600725179551534,
      0.531010688863245,
      0.579073157471643,
      0.521320492631947,
      0.724816311952249,
      0.683091641854235,
      0.653359070379143,
      0.662000037441948,
      0.571687237323833,
      0.575374756944857,
      0.58246266597218,
      0.502008564778377,
      0.642717459879163,
      0.683144260488938,
      0.660590673712585,
      0.715542436760819,
      0.726667035328384,
      0.591947307254386,
      0.635925971338192,
      0.664762550508146,
      0.687165283123142,
      0.700085566249847,
      0.680216508974615,
      0.723178353186506,
      0.639336405014992,
      0.684179591808155,
      0.679867659695817,
      0.752854163783141,
      0.691811838673667,
      0.626120219391265,
      0.691910222450078,
      0.566954520861297,
      0.549521433184901,
      0.517443144736704,
      0.678254982056479,
      0.712890733432179,
      0.791791598764126,
      0.659850989961608,
      0.733044417215074,
      0.638927021903538,
      0.424900305572507,
      0.695292033676971,
      0.623087974572547,
      0.662234928896265,
      0.749850267572304,
      0.673219952423797,
      0.663967064985599,
      0.744961855269221,
      0.665820677738329,
      0.674948654997456,
      0.686637293769781,
      0.70945079841909,
      0.695059464361219,
      0.728333893129977,
      0.801379997207265,
      0.690833101507173,
      0.472682207775897,
      0.617418117291056,
      0.737390355434409,
      0.870886333426387,
      0.763689448249322,
      0.508301115225144,
      0.801872818433941,
      0.490877957214803,
      0.505942218936747,
      0.646397258086093,
      0.651189115519721,
      0.713893973893204,
      0.669321631168393,
      0.741955957554142,
      0.69396976734212,
      0.698019731247969,
      0.848969046718347,
      0.696215043684925,
      0.585710537103295,
      0.645874995446882,
      0.813357746163967,
      0.92542317434493,
      0.746497119333141,
      0.89430845480659,
      0.820896905544429,
      0.80041749366269,
      0.664587010170222,
      0.789096642219954,
      0.52704897621327,
      0.444871755741211,
      0.584809824728155,
      0.513279136022063,
      0.645009033883921,
      0.597260495634073,
      0.689004650531948,
      0.610922383695445,
      0.556995907501721,
      0.544523271226084,
      0.621806491130648,
      0.70238429747665,
      0.631097934791585,
      0.689310802246095,
      0.710894618327687,
      0.76476067329893,
      0.780492351104126,
      0.709938161754465,
      0.638261468823756,
      0.641238764296491,
      0.744351650815075,
      0.661008751645498,
      0.744621857269409,
      0.77161365794792,
      0.661558168812972,
      0.710336590526004,
      0.549332199942359,
      0.758129908267348,
      0.633447319775299,
      0.632272543171511,
      0.600592504537578,
      0.501162547217342,
      0.441644213143267,
      0.532376404800243,
      0.657470281034367,
      0.618056329594873,
      0.675041024909685,
      0.648559994363145,
      0.575963187766744,
      0.534649722865218,
      0.420477435735814,
      0.484978440263655,
      0.712454531344147,
      0.69674221320147,
      0.717168063881718,
      0.701021675735937,
      0.675547552002393,
      0.669934110240259,
      0.637490797279621,
      0.693582343954031,
      0.67517795953138,
      0.757159093163721,
      0.728462896935741,
      0.702385956524767,
      0.703401431765117,
      0.587536515625753,
      0.710557530431371,
      0.653362712859088,
      0.635518965716805,
      0.719234101906752,
      0.580508636620529,
      0.550605401250443,
      0.508544016428119,
      0.613945011956935,
      0.666643113409393,
      0.707889260755449,
      0.668841315913355,
      0.67294998514372,
      0.666892787173589,
      0.514075370007158,
      0.672037322994334,
      0.668170742548745,
      0.671026409055213,
      0.713815111689275,
      0.643058648633486,
      0.64680977653688,
      0.756745173772951,
      0.730634825817791,
      0.649243903845197,
      0.679315505325549,
      0.679315169869822,
      0.682674448888567,
      0.656239130991274,
      0.763204730873962,
      0.745406761669889,
      0.545460931140099,
      0.424102546554786,
      0.411023165770469,
      0.421837138450178,
      0.470550193535966,
      0.426873513945792,
      0.509450418349559,
      0.383093798715205,
      0.522107763039823,
      0.4081121212346,
      0.516022663098538,
      0.530418360490787,
      0.460675410436237,
      0.456203398755572,
      0.420718977783331,
      0.316972928612322,
      0.422632400225941,
      0,
      0,
      0.425544854770373,
      0.330966115983044,
      0.513544272749368,
      0.435794710037676,
      0.441552141417847,
      0.582381238002505,
      0.478345700713628,
      0.510561386490354,
      0.459524763985183,
      0.432585765661981,
      0.616839474717853,
      0.600628470758822,
      0.532322175430235,
      0.651627060786334,
      0.723405946107522,
      0.748674270101118,
      0.708970309265432,
      0.796079139471028,
      0.720115817378247,
      0.710537371608407,
      0.66120209816985,
      0.725696116362842,
      0.685443604508474,
      0.697693835200645,
      0.792442311114557,
      0.634867855246136,
      0.715902183829812,
      0.748762572482138,
      0.665973381035632,
      0.456709182799857,
      0.431003594954358,
      0.459382146243905,
      0.564890402983786,
      0.436909161723073,
      0.632520020044194,
      0.74380174887091,
      0.49056181265941,
      0.419455479052984,
      0.535649001491517,
      0.756864089689032,
      0.602594215391651,
      0.531408320489168,
      0.54876878174599,
      0.625360639007922,
      0.673103632499529,
      0.710666341935207,
      0.735272782561244,
      0.712939131108978,
      0.674060957492693,
      0.680856343148743,
      0.637614128455079,
      0.570757785672123,
      0.598744104628361,
      0.760452414775528,
      0.710462351711452,
      0.690905169056972,
      0.634134152014877,
      0.514753925286634,
      0.558522893752996,
      0.454839685036783,
      0.488823174652719,
      0.476833415448945,
      0.78393478441854,
      0.573164770207465,
      0.530190420883886,
      0.44261337212157,
      0.680373844847365,
      0.437544894316709,
      0.517553591150311,
      0.70401602759929,
      0.552473644558863,
      0.626025187290176,
      0.675388005113615,
      0.726202023977783,
      0.667358708648765,
      0.620455350828827,
      0.661610593479826,
      0.745088364717533,
      0.691698737593946,
      0.707635961016245,
      0.622264458009198,
      0.653028763468903,
      0.561643803121842,
      0.680212050757056,
      0.707960363859333,
      0.591711641317672,
      0.534172822562089,
      0.597837233707289,
      0.716236642071446,
      0.519138598110958,
      0.589655013435912,
      0.568697513907074,
      0.595645788069436,
      0.42721446536337,
      0.59404911748664,
      0.624450188567724,
      0.649517353012604,
      0.589135215860402,
      0.633513841312508,
      0.695826900151846,
      0.749459297349143,
      0.756204988093431,
      0.696459452595129,
      0.637929744224155,
      0.667828543473547,
      0.736704594222031,
      0.710491025762758,
      0.75176495290661,
      0.626869594763757,
      0.660369389357387,
      0.62617158671307,
      0.720944278027243,
      0.782469343068971,
      0.597517019891956,
      0.347527435701754,
      0.502006820869063,
      0.543539155091612,
      0.40614418101466,
      0.437968029469804,
      0.668619835226558,
      0.406665162169663,
      0.534128848240833,
      0.531061644421224,
      0.671122286997172,
      0.483231207372873,
      0.631913692426386,
      0.662343988100693,
      0.731023362151534,
      0.665960939176003,
      0.684759392090916,
      0.747324482933216,
      0.550633159785114,
      0.59271055680499,
      0.719397468533296,
      0.731023002535484,
      0.656311036290105,
      0.741320442493184,
      0.771522497690988,
      0.710020098864097,
      0.684153424392223,
      0.84924738711232,
      0.659292682978627,
      0.52348341863363,
      0.533186757199493,
      0.657888286538258,
      0.543953816698071,
      0.551325498083649,
      0.474541068933986,
      0.580784748098294,
      0.526864923006714,
      0.722792645664432,
      0.617122383873333,
      0.505258069779283,
      0.581626685126842,
      0.486884234779631,
      0.682714710989991,
      0.587960302556006,
      0.630420886571263,
      0.69892669953012,
      0.70505945039143,
      0.720289864695278,
      0.718444288292046,
      0.695364989275453,
      0.773666156591843,
      0.721627777360288,
      0.642759588130367,
      0.714894570732146,
      0.758877540401362,
      0.742237207196037,
      0.725942017638807,
      0.562060523496678,
      0.515347627660603,
      0.732499859299462,
      0.603444759400329,
      0.671836186338388,
      0.514211376077923,
      0.494626108825327,
      0.408189012745685,
      0.473820794665727,
      0.72034683516671,
      0.738284827319856,
      0.561457920959524,
      0.56758043732387,
      0.577826565521153,
      0.723588952845799,
      0.74043041454193,
      0.666231714704062,
      0.675933530338801,
      0.616268455067268,
      0.720007925900517,
      0.746267704705338,
      0.738284000396635,
      0.761841276757268,
      0.78783103457978,
      0.732432835258852,
      0.675302215876246,
      0.667858740354123,
      0.696240315389368,
      0.459982589765151,
      0.459681395444338,
      0.574609521513409,
      0.344453149052821,
      0.503110599178166,
      0.547167388340281,
      0.504438773671796,
      0.43795842227914,
      0.547694629464733,
      0.419237747576248,
      0.521165491820077,
      0.548336603032344,
      0.638834580597343,
      0.606390736920919,
      0.697847340230049,
      0.622917413889518,
      0.810696489627783,
      0.649308140658019,
      0.598823074018587,
      0.598039713049614,
      0.755715793198176,
      0.728318562964823,
      0.716376733192759,
      0.69902128447288,
      0.637336393297919,
      0.597968290655789,
      0.573051812059152,
      0.663189129167949,
      0.595290757653584,
      0.517959644943755,
      0.45973314467512,
      0.468989384574378,
      0.422725280719942,
      0.453657400353263,
      0.563123228261356,
      0.694831801835935,
      0.485418275205111,
      0.446005335767737,
      0.655536285325991,
      0.598032784708641,
      0.376972623113734,
      0.424531151701395,
      0.722720097328971,
      0.637675939929581,
      0.756601525434124,
      0.762558419019748,
      0.721153738694673,
      0.695546863049599,
      0.604575270004428,
      0.645834988456303,
      0.728364253102158,
      0.697105377995542,
      0.70726260469058,
      0.735798048986742,
      0.698964442908844,
      0.622339369132819,
      0.665661667111842,
      0.499221731695598,
      0.574945354208468,
      0.371250909225382,
      0.461957216224381,
      0.486681504350779,
      0.682854661227066,
      0.550201378576582,
      0.454704170907035,
      0.648122522834499,
      0.716306206805201,
      0.564682035629987,
      0.532874570638254,
      0.750607684095525,
      0.774305916412833,
      0.560174026264212,
      0.557287068753392,
      0.678777480837105,
      0.584932086452691,
      0.699510919474644,
      0.681034396338868,
      0.718715607175236,
      0.624991982203467,
      0.733994874797373,
      0.740869707264414,
      0.652987548239251,
      0.521178478327854,
      0.70124506637743,
      0.718112707643567,
      0.651717081984109,
      0.478368743872892,
      0.533736585958744,
      0.564683767479258,
      0.431368340652347,
      0.53382083927239,
      0.571892144856875,
      0.527721395899016,
      0.574047448506805,
      0.664919511799697,
      0.645086450938417,
      0.563771005336524,
      0.674844846221212,
      0.574539836314524,
      0.784449796401365,
      0.752281920120586,
      0.747097741355726,
      0.674809853869777,
      0.608006975643413,
      0.816511100828393,
      0.727324001180326,
      0.786679321918788,
      0.766444881686852,
      0.752521208624886,
      0.728868172766967,
      0.67687329347437,
      0.703614275772542,
      0.789542086481764,
      0.625030637905362,
      0.517814410410899,
      0.522984160760531,
      0.551284860761168,
      0.488103679525212,
      0.721291482280595,
      0.48151629017744,
      0.469310529264576,
      0.428538335147686,
      0.606144666659477,
      0.607492199246975,
      0.619008250310707,
      0.421372132448376,
      0.59793071075835,
      0.730635882647126,
      0.698162054934834,
      0.673385149969481,
      0.711674133200695,
      0.641901984719261,
      0.641771351871424,
      0.667071692949444,
      0.728068750630747,
      0.663364717937357,
      0.669490642356909,
      0.678951725157777,
      0.597970156194051,
      0.672518919067176,
      0.664717497740042,
      0.690731379295362,
      0.576647330321112,
      0.453467122147446,
      0.608532373436702,
      0.528515044351848,
      0.453323175558017,
      0.50462287809322,
      0.593376996930648,
      0.540440097745307,
      0.7607968588943,
      0.561034430981082,
      0.719635443584569,
      0.576290302049499,
      0.489655414327557,
      0.627842081196629,
      0.654286633988815,
      0.668722159647694,
      0.711280174601382,
      0.701677004270421,
      0.662291924990011,
      0.724728272926482,
      0.659281206861113,
      0.724214514860899,
      0.707019590865332,
      0.660471486977677,
      0.754704421930493,
      0.760255951122004,
      0.772816702162151,
      0.703842001831753,
      0.414864266144801,
      0.585192935197189,
      0.514245046486557,
      0.810554640841253,
      0.466399452220941,
      0.482243976437879,
      0.612048566160692,
      0.385814434828042,
      0.514975893972626,
      0.547572009917883,
      0.551339062841441,
      0.615913947980061,
      0.605166346491625,
      0.5878687994035,
      0.690244829688818,
      0.676015470725775,
      0.615930350972244,
      0.662028465959082,
      0.61889753739691,
      0.686642184659463,
      0.730595476847554,
      0.812695684981471,
      0.724058763515934,
      0.827323091502904,
      0.826446494687043,
      0.668674392439688,
      0.746687717878758,
      0.651579905909959,
      0.48461874133654,
      0.647786218695952,
      0.583793368202489,
      0.476239022862912,
      0.549259414999745,
      0.515569759698145,
      0.539405836700281,
      0.503493028750532,
      0.393007425918401,
      0.624659880202999,
      0.564302725247674,
      0.682771210832086,
      0.608427911729512,
      0.62375635171551,
      0.721072414956172,
      0.719108394302404,
      0.730234141568289,
      0.685878848443739,
      0.629098042190184,
      0.638356084496332,
      0.78161157710696,
      0.695231691887533,
      0.740021665892058,
      0.740599345222914,
      0.630322370652942,
      0.655541296976246,
      0.739993211816742,
      0.780212358135827,
      0.585951324417012,
      0.505154530763186,
      0.479661355769404,
      0.55976309843459,
      0.518575076771849,
      0.420981195814011,
      0.547871329124329,
      0.549473761354122,
      0.504600228673114,
      0.65839521706333,
      0.570771075013135,
      0.527060360148559,
      0.499757080486497,
      0.509848904456156,
      0.736379786608005,
      0.670417868206423,
      0.723392349583832,
      0.673253199619236,
      0.633328768712029,
      0.647187193169659,
      0.617831748457441,
      0.657890806058866,
      0.657687279846339,
      0.724368939148814,
      0.749241650126583,
      0.706167968814621,
      0.699347032124304,
      0.543186085807416,
      0.694418678400486,
      0.594754126566901,
      0.54848184407764,
      0.691714689062711,
      0.527745962200053,
      0.490404513577539,
      0.502771954686753,
      0.551539045825224,
      0.509843455544826,
      0.649662778238382,
      0.609306942878269,
      0.500608887907003,
      0.594682346330538,
      0.557295199718169,
      0.668588187377943,
      0.641856175531933,
      0.646265082963732,
      0.615377313762397,
      0.671793208975336,
      0.708577467015721,
      0.715938825809046,
      0.717268497406726,
      0.663460922340807,
      0.697421586467904,
      0.667905120777803,
      0.683838049336586,
      0.704348955797282,
      0.717179671146308,
      0.727716456360586,
      0.559286578758933,
      0.455762475368861,
      0.34124309516523,
      0.369949335818135,
      0.535559642323792,
      0.425206986818107,
      0.508854135396912,
      0.390876152427279,
      0.528138711722447,
      0.369026714659223,
      0.476835130679018,
      0.488697455687451,
      0.427553051282238,
      0.475871632923662,
      0.449428434362544,
      0.326376362753248,
      0.500296478729399,
      0,
      0,
      0.605841812735557,
      0.549593818490023,
      0.688800735875326,
      0.542455061887391,
      0.587159320872834,
      0.639051651283063,
      0.610344655868248,
      0.666147124919713,
      0.435722011471843,
      0.619610128117369,
      0.681243465512084,
      0.628798801572535,
      0.4364357812404,
      0.633978512380361,
      0.525829178521314,
      0.557231389670699,
      0.541641873569114,
      0.564060810582312,
      0.507745586985296,
      0.540999044420813,
      0.594354938629218,
      0.53568172572685,
      0.594385853604838,
      0.533854804134192,
      0.549315409050254,
      0.586864589321219,
      0.562071815189054,
      0.655463523572297,
      0.596392013779906,
      0.52795550676655,
      0.584475816070036,
      0.670189952756772,
      0.590990875836092,
      0.575791457588196,
      0.584923421185384,
      0.719089405501262,
      0.54482116639895,
      0.626705495756657,
      0.574339668346095,
      0.722759863342669,
      0.584295620974303,
      0.546197064127064,
      0.578905747271954,
      0.532357378379056,
      0.566989952465193,
      0.571110294993612,
      0.616452951773845,
      0.566531470007824,
      0.478662053915421,
      0.579902445965002,
      0.505114242772278,
      0.531270083209269,
      0.497237221374667,
      0.63022994305279,
      0.530273788635882,
      0.479431839283446,
      0.531554334281872,
      0.417340479865388,
      0.585189353184226,
      0.544504462002458,
      0.518671226416586,
      0.673102888045116,
      0.675921598543554,
      0.666881636699659,
      0.578828213458619,
      0.509184451242438,
      0.632298600293499,
      0.586540748980464,
      0.53513867646553,
      0.707403987633267,
      0.696554278442241,
      0.562215294581046,
      0.549442882416668,
      0.641595908478289,
      0.534496287450914,
      0.524799013320178,
      0.539207034338517,
      0.624127578285105,
      0.512779406488905,
      0.505008771230365,
      0.548003368561181,
      0.466768521393076,
      0.416690782554202,
      0.541111741597024,
      0.631367260112531,
      0.501475269995872,
      0.48635988205194,
      0.578613099634354,
      0.662353937460451,
      0.589556045595138,
      0.740535189247505,
      0.617307868426904,
      0.640370682624601,
      0.486113250249127,
      0.582220072083108,
      0.641116833149011,
      0.616518358225139,
      0.613224131317544,
      0.662216134425644,
      0.575244801685794,
      0.557678222523373,
      0.538046478149118,
      0.518838389689469,
      0.497472149548831,
      0.5834461849263,
      0.564484109422704,
      0.496413409824389,
      0.516730735886721,
      0.498539198668001,
      0.49961726368804,
      0.357471117794868,
      0.808865055361509,
      0.672623036503114,
      0.563406330261631,
      0.539119439025579,
      0.621723303675737,
      0.660586979885906,
      0.48186222746801,
      0.581159872779475,
      0.779625685523329,
      0.514290792386368,
      0.500117817519528,
      0.610573204984199,
      0.635095855815448,
      0.557466857585804,
      0.62003264621338,
      0.809014824804587,
      0.563288132317983,
      0.551785233723116,
      0.627583295275692,
      0.645263103661261,
      0.459697174483838,
      0.484189878195004,
      0.484881018074907,
      0.712327932590675,
      0.601758093751265,
      0.517325495846609,
      0.572227756309908,
      0.580949599125681,
      0.571560116349416,
      0.861415154881955,
      0.623062435033768,
      0.498610503213747,
      0.614674906400849,
      0.658716842964932,
      0.597909986977028,
      0.644028820227397,
      0.594398488949559,
      0.526139326684156,
      0.530176843294592,
      0.714571353141363,
      0.604605985821641,
      0.641940439882944,
      0.553915213735246,
      0.64429851805468,
      0.683758224940987,
      0.550357796882285,
      0.650903346516164,
      0.701071342806605,
      0.615253065253239,
      0.593353070471103,
      0.557803762426062,
      0.557975978051757,
      0.592241154052311,
      0.711025608918642,
      0.671993970025617,
      0.564105228124372,
      0.613371928446105,
      0.558685367720947,
      0.654209021970237,
      0.435932470838043,
      0.43280975771565,
      0.689578784056473,
      0.624131589777016,
      0.656182829028077,
      0.618138017270275,
      0.606515196736107,
      0.529255321800366,
      0.500054306840922,
      0.745617372548868,
      0.58853828022814,
      0.591179610481388,
      0.64244416034844,
      0.746311855716622,
      0.638443179704688,
      0.565888253067895,
      0.559240603262035,
      0.690194515141341,
      0.629129960093033,
      0.670256091122849,
      0.597810829197465,
      0.512949606752501,
      0.514378969192022,
      0.688780746516664,
      0.637490546639033,
      0.601613479381685,
      0.523993416826661,
      0.610414095704021,
      0.545415325301862,
      0.520354209975352,
      0.633018032425947,
      0.559531412002959,
      0.578958455615811,
      0.616755053418211,
      0.594225996777398,
      0.591403651618278,
      0.580995189535465,
      0.537938203199083,
      0.498190558754342,
      0.620919343335587,
      0.590801279422369,
      0.585230714450235,
      0.541573942563924,
      0.541536323213945,
      0.666924688422787,
      0.425763023814288,
      0.448777040434279,
      0.562779865891288,
      0.591278920402337,
      0.517986107876009,
      0.541758825874749,
      0.548861243173961,
      0.563070920368389,
      0.470416594994757,
      0.510735854556646,
      0.62364123574235,
      0.503894959143706,
      0.504419852690006,
      0.602677281535994,
      0.666402405460926,
      0.576757691219879,
      0.574670698083416,
      0.702777480889145,
      0.649269758454232,
      0.546963669827454,
      0.658650054904435,
      0.682332309190982,
      0.588944425586322,
      0.465905462777366,
      0.530182595708294,
      0.671885224051461,
      0.571183337959834,
      0.542630673619254,
      0.637383135813637,
      0.681826254939868,
      0.477620820406796,
      0.519931898797976,
      0.519528896962707,
      0.622919990359952,
      0.578098036588214,
      0.54888018976559,
      0.598917799716626,
      0.528160106883314,
      0.443120619060298,
      0.552444948543658,
      0.480169890192733,
      0.592067703417351,
      0.563249802900281,
      0.516222529718899,
      0.682992194607492,
      0.7385166082953,
      0.66818026426279,
      0.420797364848251,
      0.637301969117204,
      0.622623232704406,
      0.553602128527372,
      0.558504915730025,
      0.731832550514565,
      0.800244534378214,
      0.495217102623045,
      0.509703905132247,
      0.610744577211985,
      0.553477368279721,
      0.583438745968933,
      0.570755003600384,
      0.711002248904753,
      0.504016764343884,
      0.589706337067312,
      0.68797063902256,
      0.493173197851129,
      0.435236431724672,
      0.658340868912434,
      0.674279387670387,
      0.589976342802056,
      0.46264125466796,
      0.59436995356395,
      0.588510547494326,
      0.612035736084302,
      0.686752213276283,
      0.694461394223895,
      0.575351455885632,
      0.531756343056864,
      0.633675090257698,
      0.639313182431022,
      0.52556954991199,
      0.715232070740278,
      0.737522731395549,
      0.634641972465611,
      0.567441848855521,
      0.528910818418181,
      0.454211165171699,
      0.529377386385232,
      0.796833043531656,
      0.612453161944995,
      0.619261932675572,
      0.528064735323301,
      0.65483437234897,
      0.534121152325801,
      0.528641788275682,
      0.717754273369494,
      0.578168718165386,
      0.569356379275251,
      0.574150879011567,
      0.648603356108425,
      0.52338463250013,
      0.589418071781179,
      0.703341120704119,
      0.578711050383943,
      0.523759712203501,
      0.475495021895604,
      0.577583861096255,
      0.658918138981527,
      0.65950981084806,
      0.500450695905641,
      0.651801758040471,
      0.558064488215121,
      0.539469374674353,
      0.572099850928992,
      0.563679085647275,
      0.50785720319218,
      0.491298896099592,
      0.541024096958323,
      0.55446660060134,
      0.557113676300537,
      0.669002163281736,
      0.538090495663245,
      0.513793582604379,
      0.578512787936866,
      0.620730808751809,
      0.691521635278199,
      0.563664245425947,
      0.565974143885041,
      0.598073566564384,
      0.540219733059143,
      0.589973295850814,
      0.606812649372136,
      0.656341359715613,
      0.465527619211192,
      0.7434003357573,
      0.579955726895665,
      0.718369816922944,
      0.622081381742115,
      0.600575186822983,
      0.616574040825212,
      0.548763500605403,
      0.617698040861121,
      0.708239176523362,
      0.580537689329874,
      0.537977005700497,
      0.494984429204822,
      0.565380995091396,
      0.623120671686028,
      0.660254137437953,
      0.652368041362954,
      0.599554263200954,
      0.597246140990032,
      0.60791755944772,
      0.596550043387264,
      0.340036942217729,
      0.571747119150545,
      0.615568463122666,
      0.725003590402058,
      0.660489186045393,
      0.68365439836936,
      0.675711435428498,
      0.591189939370261,
      0.518875961487027,
      0.605051998869814,
      0.62170150524442,
      0.585773757390111,
      0.684874689431631,
      0.712501032632893,
      0.501783281266876,
      0.573446552838695,
      0.457439159848624,
      0.623615296977657,
      0.564043004146032,
      0.535940268693363,
      0.598218707336513,
      0.721289192182328,
      0.534655486097073,
      0.600056316336198,
      0.654468295443708,
      0.703280786876606,
      0.627120443715577,
      0.589405244303721,
      0.648197032898406,
      0.701286294284987,
      0.674736661916281,
      0.62873262649066,
      0.609912678120669,
      0.617203029598376,
      0.611053764144214,
      0.654702473590266,
      0.486786057129191,
      0.673569333624287,
      0.593078977373284,
      0.625273239217115,
      0.625481505260493,
      0.70493947176701,
      0.554212932616349,
      0.568481047699227,
      0.594452124357866,
      0.451286484743134,
      0.486356130594076,
      0.617520662793784,
      0.609810918077505,
      0.418699009814268,
      0.536332730187155,
      0.50386838294815,
      0.469044109446045,
      0.458778759008473,
      0.824845356852124,
      0.630428749069728,
      0.540236642140739,
      0.492839459902156,
      0.587276904083117,
      0.676664407926463,
      0.59224496990624,
      0.591695147951447,
      0.611083128205713,
      0.533571440862934,
      0.49193716056763,
      0.641835868988826,
      0.665897916985611,
      0.654662817146624,
      0.526866514134423,
      0.688373787139296,
      0.626276270644775,
      0.584408402796585,
      0.554610561165999,
      0.507706519882066,
      0.539508488882844,
      0.483596414587973,
      0.533805641160701,
      0.641748311531504,
      0.631573318876053,
      0.736124187209846,
      0.557732051252583,
      0.678758191874127,
      0.538280658030038,
      0.566232988902667,
      0.623848458020086,
      0.520163216880555,
      0.568502203584192,
      0.666754834783852,
      0.583952759514362,
      0.630451466283702,
      0.576096838732824,
      0.572042720772191,
      0.527679167562121,
      0.671944182786769,
      0.545786517096079,
      0.640661819812633,
      0.574940797120587,
      0.666819750050871,
      0.679299746289082,
      0.538679668307102,
      0.635606074664371,
      0.650418996964881,
      0.644005344147057,
      0.589360872601628,
      0.551172482636727,
      0.56741991945465,
      0.506167440587284,
      0.690032406163921,
      0.700113462132105,
      0.545620285849066,
      0.585861113883202,
      0.604064496214127,
      0.669882106811152,
      0.506992702529938,
      0.467090468240233,
      0.382918802678804,
      0.378169924782171,
      0.491878748661133,
      0.441798302487257,
      0.479950869539921,
      0.450573574590196,
      0.522230235640384,
      0.37900937191781,
      0.487611236605499,
      0.496748063023903,
      0.442799627808748,
      0.386613557005972,
      0.419309684962805,
      0.358083794804989,
      0.496686202834818,
      0,
      0,
      0.57276021343712,
      0.522818540948329,
      0.623277967242113,
      0.535309796835342,
      0.510989242906817,
      0.642958330453511,
      0.600893352387584,
      0.679756584197722,
      0.445489342072217,
      0.636400702701009,
      0.643153460872822,
      0.633593928038049,
      0.536121335729625,
      0.651515896216305,
      0.373417752791427,
      0.480910579488921,
      0.533165274567289,
      0.574650786830701,
      0.465540567236321,
      0.481748230646851,
      0.575310818401039,
      0.465093472574037,
      0.551820543377252,
      0.511789418085357,
      0.507601154889995,
      0.547492404151492,
      0.530775876607112,
      0.616256905346598,
      0.542272701010244,
      0.492860531954477,
      0.60206154993034,
      0.634831741073772,
      0.533022545775446,
      0.601169330855612,
      0.620003763908004,
      0.648729995312191,
      0.511749438483393,
      0.633856097645187,
      0.573812479228351,
      0.674347693222703,
      0.594963132891476,
      0.633548782779593,
      0.621296562212721,
      0.526936020395641,
      0.524941376232272,
      0.488596028091964,
      0.580320462739345,
      0.599892199082999,
      0.483312454530436,
      0.524872604922841,
      0.509488469839128,
      0.533197477551955,
      0.450114240706884,
      0.536998602059061,
      0.554852119912005,
      0.435297245806258,
      0.497885290385399,
      0.336525250519227,
      0.579157756773801,
      0.535938668822304,
      0.581242196267893,
      0.682675943983871,
      0.631872070754079,
      0.655514940143472,
      0.581299870257641,
      0.45761881199963,
      0.549041378608371,
      0.620400861434147,
      0.53878051860328,
      0.672282147093583,
      0.656368997394076,
      0.492689219205131,
      0.544085227508464,
      0.642422742381304,
      0.489288043609314,
      0.508812219142868,
      0.552666502485757,
      0.682645614898047,
      0.48546463405732,
      0.458465781887082,
      0.534073010284755,
      0.499307042954704,
      0.429337506634839,
      0.477075354137068,
      0.605034610365782,
      0.502277200520477,
      0.467966593324433,
      0.554515733051785,
      0.644979142153351,
      0.547009127232103,
      0.712002061913899,
      0.635037250460069,
      0.586055112354376,
      0.530074562340402,
      0.649042223443659,
      0.658291757580732,
      0.561165234767555,
      0.707175871102572,
      0.670922659062663,
      0.609930501725935,
      0.525060843228384,
      0.527207521634646,
      0.513651827523833,
      0.460489824458794,
      0.506602975963616,
      0.573310090831324,
      0.521924283563577,
      0.579007073861631,
      0.495238032699071,
      0.505880602256486,
      0.381388505152341,
      0.81767850149298,
      0.657026939701127,
      0.540096206550243,
      0.514403786611014,
      0.572230464194296,
      0.610506533903262,
      0.483278283070725,
      0.578646537623156,
      0.806687287710105,
      0.533498800726587,
      0.497517179593733,
      0.597230217380667,
      0.595657884465898,
      0.492186232828271,
      0.62213307025618,
      0.851403273036739,
      0.490245090301543,
      0.547568448377032,
      0.610685054893086,
      0.589397557048394,
      0.522444521889317,
      0.450629809110064,
      0.507927536197862,
      0.750037175184622,
      0.572705265776227,
      0.462938421917162,
      0.516742463576001,
      0.503545879133713,
      0.523026513808324,
      0.7237998892153,
      0.631029758511805,
      0.41699008571003,
      0.616997285435843,
      0.653639463707801,
      0.610605724562367,
      0.605071344600901,
      0.638934791459692,
      0.512169867815927,
      0.547332662011517,
      0.706804329882114,
      0.532058845800527,
      0.579990272508617,
      0.525440628866052,
      0.714370419182178,
      0.643331720865249,
      0.561662810630283,
      0.596865749188019,
      0.718905176293429,
      0.578266658184856,
      0.595380274623028,
      0.568907230904112,
      0.586998314520459,
      0.458640412590748,
      0.710870564964968,
      0.703455002806697,
      0.504923647404286,
      0.564711993457438,
      0.65089455014069,
      0.646668139459002,
      0.540112283833469,
      0.523294009541364,
      0.665896584999767,
      0.698848072350889,
      0.65430086070061,
      0.641622270935269,
      0.575245111803179,
      0.538608778265814,
      0.482091568710104,
      0.731756988934982,
      0.600054996254872,
      0.587636583039405,
      0.659010501409697,
      0.697057773400754,
      0.644892030506149,
      0.606572911512261,
      0.574028130343882,
      0.61262264146642,
      0.718689880260511,
      0.628574498039473,
      0.58104305126742,
      0.463318619090824,
      0.500277341227149,
      0.651712996320671,
      0.607639014017992,
      0.501630040941578,
      0.577845570462315,
      0.68824557222696,
      0.527293956335906,
      0.482873441552808,
      0.536510334141856,
      0.542602169800816,
      0.526017342678829,
      0.613020591578814,
      0.565166834185682,
      0.584230061919412,
      0.51168719657738,
      0.545915031251382,
      0.462843176918651,
      0.612967941225078,
      0.577604300452515,
      0.640263943748133,
      0.504931896636707,
      0.559503609402513,
      0.538248341534783,
      0.396697106564669,
      0.46235121702457,
      0.554608547195837,
      0.571861857261497,
      0.406491928915451,
      0.535327960126769,
      0.549778802042727,
      0.575869121415437,
      0.398695561940267,
      0.473755443593627,
      0.557782122168272,
      0.474324024541919,
      0.48035770033174,
      0.580125379028687,
      0.607369118979378,
      0.543390842562722,
      0.573999978203971,
      0.677680457581761,
      0.56502591167423,
      0.516064071921537,
      0.644326951603392,
      0.655730854705708,
      0.534720974124732,
      0.454266768569096,
      0.513999423638357,
      0.595736414426212,
      0.495565646731076,
      0.476014516302522,
      0.59242442369965,
      0.600109086409656,
      0.501905044796746,
      0.439676749850527,
      0.506125680583799,
      0.579970539769079,
      0.503445804821897,
      0.489697334020816,
      0.472002726208687,
      0.537906096273247,
      0.447962496243768,
      0.525773128173955,
      0.456956734665679,
      0.56866274177674,
      0.616439359546851,
      0.565536815700566,
      0.670601272028591,
      0.633347308999409,
      0.640282520549822,
      0.421427698868945,
      0.646380175759492,
      0.623458518389525,
      0.524663243773335,
      0.536791880351884,
      0.644087705481147,
      0.733620771866551,
      0.528182131723437,
      0.515832177886886,
      0.53163616439631,
      0.527929944790884,
      0.528572515937278,
      0.583445967943608,
      0.741411528848222,
      0.509832409935816,
      0.520072221859782,
      0.62323031946097,
      0.483302176958626,
      0.453383692703448,
      0.549448480819103,
      0.577414149753214,
      0.582062430402194,
      0.425708226648787,
      0.574068786798841,
      0.558078541740302,
      0.569263438911297,
      0.672494344067388,
      0.656950072529399,
      0.616092015327841,
      0.55885597696805,
      0.668442960585548,
      0.675961010255524,
      0.490221369332025,
      0.683700536390092,
      0.744608188725965,
      0.551033765455736,
      0.570665521913851,
      0.486532763332076,
      0.416017025784385,
      0.528024852975075,
      0.742611966744041,
      0.617111446465389,
      0.669163841573421,
      0.500074311175574,
      0.654918185856884,
      0.517321515207592,
      0.511981002213018,
      0.761320586817424,
      0.463565116990624,
      0.626908080163034,
      0.586946601918058,
      0.60614423122072,
      0.555922886896109,
      0.551523264161698,
      0.587510126892077,
      0.589438706869619,
      0.537934617006566,
      0.466292888080017,
      0.629773647684832,
      0.629011337910656,
      0.629655245652322,
      0.549124110896463,
      0.695806052994445,
      0.587425298937598,
      0.494341832673506,
      0.51461945659531,
      0.584043377449381,
      0.523340858646717,
      0.467922744111849,
      0.526847161455047,
      0.493889255611364,
      0.534175241355898,
      0.666935879144938,
      0.545742547067366,
      0.599912325864705,
      0.552539476243406,
      0.657005565983876,
      0.653789069057548,
      0.52506190831057,
      0.587143072975515,
      0.630289087313854,
      0.564730241158826,
      0.58172709814561,
      0.605066217610109,
      0.617805940583289,
      0.505504564573001,
      0.765483572367091,
      0.531398786805578,
      0.613120539775419,
      0.585343314051439,
      0.631364140357548,
      0.692989449082776,
      0.554404009856496,
      0.567534779472024,
      0.665280624646861,
      0.588966902285201,
      0.570730616771833,
      0.498628757762435,
      0.500021735385971,
      0.538838036172187,
      0.703738446226171,
      0.692106024525082,
      0.492224734271731,
      0.578445174254574,
      0.682422831287971,
      0.594749300666219,
      0.386568202389482,
      0.534914110532231,
      0.595073338126984,
      0.694288293617965,
      0.677652478097516,
      0.649642244344988,
      0.613038667081096,
      0.584097123469428,
      0.51050502763614,
      0.618750255899984,
      0.6468735817797,
      0.594480190427933,
      0.659902349013306,
      0.673357059948863,
      0.428156762940237,
      0.513366870937216,
      0.436350649461518,
      0.591528450329952,
      0.527909254913524,
      0.474693160248064,
      0.542060147240297,
      0.673501283843075,
      0.627888250947482,
      0.5205847598562,
      0.623505159446344,
      0.669483159082014,
      0.453174163855316,
      0.688687481240145,
      0.689983752316745,
      0.543449532652107,
      0.638436146101696,
      0.629001933735455,
      0.595118788733381,
      0.649647620071928,
      0.65366543533066,
      0.623523882434961,
      0.477527383758793,
      0.700945802732395,
      0.631059149012214,
      0.594132223361152,
      0.662581603014122,
      0.723585598218717,
      0.526597720919109,
      0.555439693870623,
      0.521348321316564,
      0.403283621344629,
      0.451961836197545,
      0.622982004121706,
      0.531341697929624,
      0.407527221128078,
      0.581103670719296,
      0.492449584892834,
      0.422717654634376,
      0.41647924764513,
      0.706527461642497,
      0.567990485236358,
      0.596422293038151,
      0.496562242031236,
      0.597316693149773,
      0.62574393353943,
      0.57164836634672,
      0.606401447431422,
      0.561139955651138,
      0.543457493608212,
      0.488598547243395,
      0.578853845301141,
      0.618432646608055,
      0.655899949862976,
      0.463295235472685,
      0.718654086447723,
      0.551593472993767,
      0.580110151738134,
      0.525652198397977,
      0.578814504595988,
      0.565996056147613,
      0.512116235750464,
      0.528832884628325,
      0.605687826657716,
      0.593552368523112,
      0.763147129276182,
      0.529405500867573,
      0.570981026062696,
      0.505307106594587,
      0.646505940161042,
      0.64700054081152,
      0.57133108515437,
      0.593742281789506,
      0.621732820585579,
      0.627490706459565,
      0.619440812932977,
      0.542716738886745,
      0.555406621681449,
      0.508105588514426,
      0.715416470044501,
      0.530971887418642,
      0.604233939910013,
      0.558285210216841,
      0.750255540828761,
      0.609775124680784,
      0.538173782143069,
      0.59655543714871,
      0.745525277177001,
      0.59206234013099,
      0.612466190316066,
      0.575730968259002,
      0.518327321919318,
      0.436777121381697,
      0.659962653068737,
      0.70709007594129,
      0.541513791004337,
      0.562615537200688,
      0.652954071634949,
      0.656982221567931,
      0.468207683937138,
      0.45546601090902,
      0.383072902314503,
      0.326333260488403,
      0.435210838596517,
      0.432608069122214,
      0.453237902649294,
      0.402875529008345,
      0.477164297132985,
      0.313761140148537,
      0.465909418381667,
      0.462678554575812,
      0.43385255724985,
      0.379558709139585,
      0.395597620114416,
      0.380877577490249,
      0.493221161739813,
      0,
      0,
      0.364153481384652,
      0.459908252973438,
      0.529687566251294,
      0.434052210722096,
      0.322877851680644,
      0.584896792170316,
      0.50629158872336,
      0.451603201534078,
      0.394237617138697,
      0.492677613471632,
      0.498376764080838,
      0.508370980187531,
      0.49628958931618,
      0.54638479870955,
      0.53411611833663,
      0.695336503418339,
      0.622974390325632,
      0.512571806263911,
      0.561983493299799,
      0.646277530841801,
      0.66884525883553,
      0.611330621472593,
      0.727567683257583,
      0.612634137182822,
      0.494987251419171,
      0.568600377002456,
      0.638168804929852,
      0.623871791594749,
      0.588833699400027,
      0.397449073912673,
      0.485709091294658,
      0.420290749251994,
      0.469755340567371,
      0.438045210525357,
      0.523826089308157,
      0.592318378616182,
      0.479787541085461,
      0.474007522328508,
      0.534349209567509,
      0.684638119853576,
      0.582783973090209,
      0.568709434475381,
      0.532335468021355,
      0.525417756382239,
      0.613773129634756,
      0.502658116255661,
      0.645188207008397,
      0.631013343531807,
      0.590957648879044,
      0.640546418467418,
      0.648158207603072,
      0.566896849135588,
      0.525529988563678,
      0.678111261731715,
      0.58670381888846,
      0.516144134774409,
      0.581424638941374,
      0.41820605214998,
      0.597662823208005,
      0.438528113796977,
      0.46230468996389,
      0.388869520117937,
      0.470636158169809,
      0.601120593027834,
      0.490372141470878,
      0.618964658609764,
      0.493045173905413,
      0.480281607738169,
      0.377034348721662,
      0.519955421515239,
      0.555722067027193,
      0.557135633660764,
      0.633900856304717,
      0.67874105466811,
      0.491885608220222,
      0.631263876921888,
      0.654053184654942,
      0.685857022904145,
      0.587420080852162,
      0.60212865136502,
      0.534564390232752,
      0.546461667641366,
      0.561281109057671,
      0.655386940317607,
      0.712079062172903,
      0.496766134111648,
      0.443456536278433,
      0.453616278063679,
      0.64296765224507,
      0.434252179424798,
      0.600654626874996,
      0.46592764959968,
      0.600334507028558,
      0.55713804862159,
      0.535439518925583,
      0.497380180179334,
      0.596007643770905,
      0.75307043846937,
      0.629586475949308,
      0.705909287775931,
      0.687179091485933,
      0.599660375494816,
      0.572603688114093,
      0.568736134938069,
      0.635705448172718,
      0.604138469140652,
      0.564706277366168,
      0.626686166828994,
      0.6267665606863,
      0.521920953447866,
      0.570213639944053,
      0.745528935590142,
      0.638633214711373,
      0.47282041272783,
      0.464723255843179,
      0.490366519550019,
      0.52917703312711,
      0.37127196945742,
      0.592657185278301,
      0.724328208893058,
      0.555373556567816,
      0.516060740741395,
      0.542029673131052,
      0.505532848315714,
      0.374499655540034,
      0.582505829875291,
      0.718806000965384,
      0.595074022537681,
      0.720462303673092,
      0.668982206802588,
      0.585069170323467,
      0.545322059384308,
      0.52814976918489,
      0.602046305139967,
      0.728420871911777,
      0.588437679492258,
      0.567372702379481,
      0.496918373029591,
      0.617109773363532,
      0.549195251021122,
      0.655593951304727,
      0.621459790739098,
      0.533047128011237,
      0.465006069124772,
      0.698255508902026,
      0.515416331493586,
      0.557272428268789,
      0.522360551482987,
      0.544701660127636,
      0.466981760231249,
      0.655278637697323,
      0.531597064786228,
      0.447674336743899,
      0.526570022391463,
      0.656674582770713,
      0.634941072637154,
      0.674188677929192,
      0.630595376971873,
      0.705644928695526,
      0.633067117343976,
      0.636731266308563,
      0.652564071534589,
      0.615091979847058,
      0.610849059090544,
      0.636836704952304,
      0.631855770917194,
      0.617625503912858,
      0.644576976852297,
      0.637408542123535,
      0.632824628805756,
      0.659182530549566,
      0.54397342654858,
      0.715845860707428,
      0.702886596852766,
      0.626200480352249,
      0.593973192827363,
      0.54190638213201,
      0.397763828573659,
      0.431969284119888,
      0.630402039463596,
      0.597934335966796,
      0.483618158692532,
      0.637732072059259,
      0.570225197919358,
      0.764823790884457,
      0.723698721820238,
      0.592141882403389,
      0.645515283560331,
      0.735116971467668,
      0.59126315311758,
      0.629230643738892,
      0.50508517099781,
      0.687370622996761,
      0.640969721169067,
      0.637465434945235,
      0.611448461281401,
      0.681667080416419,
      0.657514291570492,
      0.544687941271653,
      0.509233896122235,
      0.486437351660384,
      0.443690401581579,
      0.42362485135925,
      0.520778065582732,
      0.520279304308757,
      0.347528649131165,
      0.450971070938453,
      0.482831412662937,
      0.409540002336212,
      0.572129842944012,
      0.590432928147187,
      0.517915291317209,
      0.626929554977092,
      0.576042272848823,
      0.646106185049952,
      0.436558171368012,
      0.478234779637341,
      0.599361048015816,
      0.54947112838618,
      0.595611136699202,
      0.671545591550489,
      0.595564660609302,
      0.532673342403044,
      0.440884677548945,
      0.565388839823187,
      0.623119349882242,
      0.459828541131165,
      0.409010973058505,
      0.400660508075835,
      0.448478755370256,
      0.377903993869169,
      0.433337697285774,
      0.616180917268636,
      0.539709649992361,
      0.405839856203873,
      0.467529052308462,
      0.562525496951706,
      0.536359365926995,
      0.417947304832612,
      0.349832711992418,
      0.611817305550987,
      0.51083421531328,
      0.625745884656621,
      0.622405437965664,
      0.62335336347296,
      0.610002510543431,
      0.647570232761254,
      0.565770325102721,
      0.557096978963775,
      0.600650848487128,
      0.54700392705094,
      0.599429117563169,
      0.602426312373322,
      0.588983548684151,
      0.52065156941861,
      0.488720143203495,
      0.601203271670793,
      0.474338469823881,
      0.547063291420698,
      0.389151084414443,
      0.474782446675,
      0.542404162188412,
      0.413375004075359,
      0.698512370554995,
      0.563778853302303,
      0.45950152968685,
      0.417903934230687,
      0.581160644637153,
      0.603703968319113,
      0.640985800998954,
      0.643153445138713,
      0.579726437015358,
      0.499608035665881,
      0.68278296656619,
      0.724730437119274,
      0.769357583078975,
      0.66708429481655,
      0.601599741655009,
      0.628781363780289,
      0.623480764969994,
      0.599490839251021,
      0.688609711046892,
      0.639667423674506,
      0.540490052449743,
      0.450423745661546,
      0.504847569149912,
      0.514212196931442,
      0.447613576235969,
      0.460400518035092,
      0.598565299512978,
      0.523077393615342,
      0.545731899270849,
      0.53773338843059,
      0.59401229895137,
      0.473572836023896,
      0.512971557834128,
      0.533602819539165,
      0.618880592881088,
      0.700136195578835,
      0.613079926810327,
      0.518007760911525,
      0.557099312385807,
      0.690178218675766,
      0.637651157761262,
      0.706169143772705,
      0.660100997055587,
      0.648912729078456,
      0.568103754830439,
      0.547909067816948,
      0.810174458801184,
      0.690196590630061,
      0.652109691296364,
      0.524268834470026,
      0.477985101753875,
      0.551014078110455,
      0.435007448853883,
      0.64790416361162,
      0.503173121697909,
      0.444402711161534,
      0.389086081700648,
      0.566718839290611,
      0.587828714096681,
      0.605763134169508,
      0.458673709533729,
      0.666361296136396,
      0.626583817830167,
      0.710952375706679,
      0.587714705494633,
      0.530025303339734,
      0.612170157479748,
      0.545686322100166,
      0.571134063174668,
      0.552071696705175,
      0.707817419872628,
      0.607357631375955,
      0.560702002165133,
      0.562087909766407,
      0.55797953752723,
      0.640600692109032,
      0.666979852041578,
      0.512428308728084,
      0.426486283159827,
      0.652195131382041,
      0.454820924266981,
      0.517424150831118,
      0.491857753280227,
      0.544861073532506,
      0.527318081923289,
      0.67969313088029,
      0.49278728318749,
      0.437623340138055,
      0.502915105399992,
      0.630392249022923,
      0.669523802508859,
      0.568031387057042,
      0.606869382990007,
      0.618866618798264,
      0.672574252468704,
      0.576181177231905,
      0.656936033225441,
      0.587923036855928,
      0.649376887838178,
      0.624167778212759,
      0.630866369024248,
      0.66247313879802,
      0.630913985780958,
      0.601641007944006,
      0.60754275218801,
      0.385489440588446,
      0.545557078001921,
      0.482993519054719,
      0.683494718160381,
      0.533894385225396,
      0.465959719374696,
      0.642617742070868,
      0.731888098023582,
      0.58069714561091,
      0.738083998748281,
      0.547857654775252,
      0.439300045094756,
      0.493548288926402,
      0.493039391198336,
      0.559672730283549,
      0.649334223025989,
      0.59486832583169,
      0.563342660846883,
      0.605929357670969,
      0.635429188843785,
      0.664358194443726,
      0.672237471423709,
      0.802918378210854,
      0.518211130309452,
      0.637458477699106,
      0.632979847230232,
      0.602586811414146,
      0.640198988630752,
      0.562235860938672,
      0.37037173312481,
      0.570273094275737,
      0.485126402277146,
      0.583721631823295,
      0.507320814679477,
      0.443761844854778,
      0.439103256089368,
      0.457488382242454,
      0.657350967240605,
      0.482476541203458,
      0.574124340125885,
      0.582737214149371,
      0.47129147588118,
      0.675226518632985,
      0.649878348614376,
      0.605801980998676,
      0.540513202266513,
      0.531282093690315,
      0.630915307813231,
      0.582377842979016,
      0.516347756095628,
      0.643403059023354,
      0.645926341449687,
      0.448270981038094,
      0.534307619093203,
      0.596913575790268,
      0.617719337188684,
      0.623631623537443,
      0.482090305852769,
      0.52090750342632,
      0.513735405080214,
      0.493540000777607,
      0.52703252989517,
      0.464935039546971,
      0.486387856346822,
      0.418295879291139,
      0.549210054748586,
      0.50006072741941,
      0.647086280302158,
      0.362961572846095,
      0.648009655839832,
      0.595089076728264,
      0.686011460852204,
      0.662287819046978,
      0.570224279566668,
      0.668202982223556,
      0.598004295145711,
      0.574222524267384,
      0.557000550058649,
      0.541135558159115,
      0.670360603329352,
      0.527908713554314,
      0.535438856642229,
      0.596812358317496,
      0.633467037306565,
      0.612961018048426,
      0.535325970174641,
      0.518062963750425,
      0.663635650794079,
      0.590210163261326,
      0.578899001340118,
      0.54083644751139,
      0.478992249113256,
      0.453562979130914,
      0.656948317092077,
      0.555159703131745,
      0.462115589006642,
      0.495154859178979,
      0.677189179559857,
      0.623666841122283,
      0.664299442694089,
      0.64928518969585,
      0.764960447031076,
      0.574687531724735,
      0.687787284640707,
      0.650241643803379,
      0.55013515364743,
      0.578478542584708,
      0.644689568962103,
      0.643613093723199,
      0.645636685049789,
      0.679010628961343,
      0.636895569054241,
      0.64100958784236,
      0.47859505608537,
      0.357000710230751,
      0.340828414017758,
      0.301283562443884,
      0.441160685910507,
      0.387296289349894,
      0.426575763632451,
      0.336600423294829,
      0.435246834387344,
      0.317823506364522,
      0.436258058108566,
      0.399701333594442,
      0.393755149215165,
      0.403380633694354,
      0.345295795997314,
      0.359515275779337,
      0.442665307979479,
      0,
      0,
      0.659392494546869,
      0.656826837537256,
      0.562838980191935,
      0.477349511078514,
      0.431509603489938,
      0.670751443625524,
      0.65807640297974,
      0.65132212443823,
      0.598211063775565,
      0.624099817338764,
      0.509399728710934,
      0.543701754821267,
      0.526726619839651,
      0.507369822333295,
      0.614174264225128,
      0.754881425656861,
      0.591827107334569,
      0.480055566739737,
      0.579005470387975,
      0.633366525033428,
      0.694837420792908,
      0.657048349763414,
      0.77465693146245,
      0.569458617742267,
      0.535666160483636,
      0.560332086587036,
      0.614472786720093,
      0.616180993439444,
      0.620980439164614,
      0.624146861097102,
      0.600067958757361,
      0.596539214424757,
      0.474630466713099,
      0.435818027672976,
      0.461560596979861,
      0.577781546415633,
      0.5539194378399,
      0.569332821891042,
      0.507865733963607,
      0.66002835457155,
      0.64106734298535,
      0.530675650399537,
      0.522705613105501,
      0.482903708904126,
      0.62052035369478,
      0.490932130407488,
      0.680810012044231,
      0.634636098141903,
      0.614410018722114,
      0.612319893758416,
      0.629733504308348,
      0.645898269225029,
      0.501366818555976,
      0.706068784079632,
      0.593149345179956,
      0.572174497460544,
      0.558483169768711,
      0.436326987423865,
      0.60817249575361,
      0.527298689132618,
      0.593894788007828,
      0.59994235436874,
      0.607418673055257,
      0.573866923303221,
      0.506065635384416,
      0.7709118944537,
      0.54239225222266,
      0.630557798484226,
      0.398499996664826,
      0.605468726611386,
      0.593104472326853,
      0.619990354946688,
      0.574060527541969,
      0.688790086504307,
      0.529966442961291,
      0.600484379912956,
      0.697437210286552,
      0.568071214758016,
      0.634957835792916,
      0.65161582693132,
      0.580317533360757,
      0.591050361835993,
      0.509459119745162,
      0.696607134621393,
      0.728950963161819,
      0.591465745129595,
      0.506619236582421,
      0.495274548364078,
      0.750698649447548,
      0.625799372282761,
      0.596040117335931,
      0.622361767192481,
      0.674571666974684,
      0.610987608916926,
      0.494829591145142,
      0.558597005649244,
      0.635765567747803,
      0.634783486441204,
      0.629234848441153,
      0.679106100683438,
      0.655355112402547,
      0.574288407457681,
      0.576858238445851,
      0.569582503775566,
      0.691039399276814,
      0.636770085076955,
      0.587683713647861,
      0.665290583561278,
      0.635904288425836,
      0.579292298207661,
      0.55803316599731,
      0.730968910756427,
      0.597592535952602,
      0.575223800469041,
      0.593621948356429,
      0.572779861244434,
      0.556569677978846,
      0.39141586887848,
      0.62608113151394,
      0.540848821733821,
      0.595381908770222,
      0.60855112992992,
      0.653459239833202,
      0.527499706273012,
      0.437567028848307,
      0.564917120804979,
      0.50866261712885,
      0.651990599880519,
      0.754101340617712,
      0.639537684434468,
      0.611824459346119,
      0.490662684738879,
      0.495972270316818,
      0.651469021845756,
      0.693577711361073,
      0.709570768736289,
      0.662749961720435,
      0.525691981981089,
      0.576706880682052,
      0.580210579635555,
      0.666700943126163,
      0.628017888735254,
      0.655078680497405,
      0.608237429329964,
      0.682206886428472,
      0.629745412503887,
      0.563335225623003,
      0.539196806038311,
      0.57101081181433,
      0.52827169145815,
      0.682043208421077,
      0.558296741398411,
      0.653573488124112,
      0.471416619131718,
      0.638877271292782,
      0.612759389082075,
      0.705277049311176,
      0.677605072901272,
      0.654059236890582,
      0.627916760709915,
      0.616459433105042,
      0.700379427203163,
      0.627244007389122,
      0.630606749672168,
      0.640495340614945,
      0.716493077165536,
      0.594462249647582,
      0.685057222449734,
      0.640032477814178,
      0.636497287160447,
      0.662202798628411,
      0.553244519474929,
      0.689467279941115,
      0.633127732546235,
      0.645038430714922,
      0.615475369104408,
      0.539469250700603,
      0.444096037113188,
      0.457010281296933,
      0.622892306924369,
      0.621287652448297,
      0.47607191796833,
      0.609756450370272,
      0.570226118201063,
      0.744996956095844,
      0.771766646272063,
      0.62946317667984,
      0.676658114888177,
      0.667046975239997,
      0.63775879295576,
      0.613688431936692,
      0.542839126666133,
      0.698920874461702,
      0.613616257580388,
      0.619773438956089,
      0.623219878402578,
      0.728409990762437,
      0.659643935233155,
      0.613593584010432,
      0.570918799798825,
      0.474317506041425,
      0.390284573783994,
      0.519958302662369,
      0.56777462367552,
      0.653320170729905,
      0.543416667642352,
      0.594005038023987,
      0.555848919550395,
      0.533596264324083,
      0.594553858073957,
      0.638203073091713,
      0.529920165375493,
      0.658011697371189,
      0.641708473290515,
      0.64540729295376,
      0.495528185093426,
      0.49563008758163,
      0.579925984634355,
      0.63189825326504,
      0.648625858987746,
      0.72316191678723,
      0.729190329489866,
      0.480802929761223,
      0.495599544979141,
      0.52316091349783,
      0.68535898930284,
      0.524355193877844,
      0.634973428258659,
      0.594590465503233,
      0.580634179574374,
      0.424531945881873,
      0.453278157530829,
      0.597059181686029,
      0.587837920828988,
      0.577502467361792,
      0.548640682463456,
      0.593577823739032,
      0.562429520221398,
      0.424720346883635,
      0.407864348914611,
      0.612095833447428,
      0.537025302218224,
      0.597518964252839,
      0.630275560711749,
      0.636576450572214,
      0.620764701726914,
      0.64505070611372,
      0.538964424514646,
      0.618118887978933,
      0.66383844460213,
      0.555807144611769,
      0.661477201551484,
      0.593873623085003,
      0.586828490685734,
      0.518543057879564,
      0.531466325600067,
      0.640742867376108,
      0.546197564816102,
      0.604457495911661,
      0.60931668350488,
      0.554260122948773,
      0.469730267701984,
      0.427664308736687,
      0.74199961190348,
      0.551235312260463,
      0.61986882092537,
      0.424340406318386,
      0.60741818194389,
      0.60369739178738,
      0.646520630275591,
      0.640530120030218,
      0.607305828820377,
      0.5325774824063,
      0.68775674985857,
      0.683848177551227,
      0.7504766727497,
      0.732271693131053,
      0.605482377573136,
      0.629653498944406,
      0.593058565114319,
      0.558502437149614,
      0.712286142643302,
      0.60611014479757,
      0.598238176776933,
      0.472261553050731,
      0.515790459948506,
      0.62037220618743,
      0.638146962635593,
      0.594788779303828,
      0.64544358837686,
      0.595687456209206,
      0.612231791062118,
      0.483679297024493,
      0.515374067729998,
      0.502521321262912,
      0.468163428746398,
      0.546097213693324,
      0.598893302980927,
      0.702563116765017,
      0.601001727217462,
      0.550393840714431,
      0.565719682836255,
      0.732988876757272,
      0.657283514444053,
      0.723315045727039,
      0.634264777331207,
      0.691079850462944,
      0.507853202518026,
      0.545857899058547,
      0.828088016234946,
      0.722444907696924,
      0.654248542438713,
      0.587167952710617,
      0.536866635234722,
      0.5886733184478,
      0.557850319007951,
      0.681963525498281,
      0.583270338706131,
      0.479199808186439,
      0.565973949048275,
      0.60686281336416,
      0.553836918111608,
      0.552372419554734,
      0.51568342784758,
      0.638604509245602,
      0.611236317497148,
      0.757952627714479,
      0.561797162431147,
      0.519790827514989,
      0.623598388678385,
      0.577132370560324,
      0.603224490313159,
      0.593697543795849,
      0.751966257949124,
      0.61869186621343,
      0.563033457545903,
      0.574485354757164,
      0.601081467139553,
      0.683141067294107,
      0.69518147718951,
      0.644263575258759,
      0.539405735846634,
      0.625909685781492,
      0.576200218583425,
      0.514967207899666,
      0.496092995649753,
      0.486841040513343,
      0.641606814981818,
      0.608060107855474,
      0.522682531584744,
      0.660114911117628,
      0.488151891009331,
      0.605492135677107,
      0.63059389542732,
      0.639296140990956,
      0.636231545584471,
      0.662377765676054,
      0.680143106415833,
      0.585266661855441,
      0.679024398517088,
      0.60668304544658,
      0.657349864657192,
      0.650476222287065,
      0.70132197604406,
      0.671396204490068,
      0.600151869816553,
      0.611928696243509,
      0.579194613142019,
      0.419719059243618,
      0.598821116638603,
      0.694168515651632,
      0.673334814974148,
      0.652475775415727,
      0.633349415197723,
      0.744745081931579,
      0.724021614534675,
      0.601840120778458,
      0.784671258241745,
      0.653566477086507,
      0.499746149491936,
      0.520272750421642,
      0.659911935721523,
      0.62189359500876,
      0.707923888193215,
      0.57704015897775,
      0.606970692857191,
      0.561743671865658,
      0.677421570350953,
      0.722255953973941,
      0.714986207465844,
      0.772415860929347,
      0.544169350149867,
      0.685691116950361,
      0.614579841403707,
      0.670620447326051,
      0.589650433415255,
      0.64206223419359,
      0.46628543281871,
      0.594409748312261,
      0.605243424673883,
      0.606393564039677,
      0.598704080076844,
      0.615591207490306,
      0.602334761260148,
      0.590912487584665,
      0.650332903547234,
      0.426590770582323,
      0.613323074729624,
      0.606404196228012,
      0.456110172751639,
      0.680246978015224,
      0.641734763728764,
      0.621932764649721,
      0.554533631497657,
      0.524586212217158,
      0.644216056563756,
      0.632315284414765,
      0.586969594839771,
      0.673885477352112,
      0.687467390560066,
      0.458737117783695,
      0.536779028251929,
      0.595546194080802,
      0.64746324011283,
      0.567283473005254,
      0.634521042184634,
      0.628962970267249,
      0.556563535814749,
      0.58489163986713,
      0.571421610163901,
      0.510076536847402,
      0.386984901461206,
      0.616742778810753,
      0.587659026349688,
      0.519324980610313,
      0.574712033690713,
      0.458231495152745,
      0.671048661306575,
      0.628024792777007,
      0.664215845580011,
      0.659344252047474,
      0.579387086508223,
      0.62887037669127,
      0.532750526265608,
      0.617288773544427,
      0.563881531526788,
      0.649764703324742,
      0.632415987484521,
      0.506022059443571,
      0.652016159300297,
      0.536564522267748,
      0.593902286271878,
      0.56762371419121,
      0.58671693309172,
      0.596353736221131,
      0.67627596729276,
      0.615860524716172,
      0.56039200318396,
      0.568902088800066,
      0.547297310505909,
      0.52737601141186,
      0.669143271176841,
      0.617277713767409,
      0.639753111182396,
      0.474256517731286,
      0.633064576159208,
      0.59450409570068,
      0.710958316991697,
      0.660867290373214,
      0.694489600060091,
      0.577322483163994,
      0.692680244239668,
      0.658461297020798,
      0.56346169189976,
      0.636585207738711,
      0.591427869711206,
      0.68512736731957,
      0.624292292460767,
      0.683772586566782,
      0.66151088951489,
      0.64041879368163,
      0.452486249174099,
      0.271871086753848,
      0.240034264535109,
      0.205904174888487,
      0.332724289035459,
      0.260476781631401,
      0.395117490672266,
      0.25517064725608,
      0.386096844026057,
      0.35104507970942,
      0.401412001685171,
      0.465852576443831,
      0.366784526761051,
      0.463982511658653,
      0.440365456219513,
      0.358128388249373,
      0.45140115968374,
      0,
      0,
      0.616570377740272,
      0.606706332003464,
      0.461616391985206,
      0.441088923618743,
      0.385990488875785,
      0.626953321227857,
      0.603781124671415,
      0.615190713938907,
      0.554180315376992,
      0.567078963205253,
      0.42605310256832,
      0.642823841101513,
      0.531196303938066,
      0.462776717238163,
      0.48659618898576,
      0.591424869032569,
      0.528480348362254,
      0.50950911291209,
      0.47112746955204,
      0.46580345966359,
      0.568395336609689,
      0.464222739253,
      0.584393529381537,
      0.479366542863626,
      0.578738082511888,
      0.447355874324569,
      0.503188664192851,
      0.610757492015061,
      0.679371494269621,
      0.591860970915326,
      0.607000251216566,
      0.56495555251401,
      0.549511618137123,
      0.591706477697341,
      0.486654428268297,
      0.627571769512186,
      0.547022960762147,
      0.530052303563278,
      0.601899288917953,
      0.715766645814505,
      0.704069462165812,
      0.428864938104586,
      0.569693103839159,
      0.519131221802085,
      0.523074665287398,
      0.424384277728081,
      0.617671552070933,
      0.668622922026212,
      0.513068462762997,
      0.541529864068291,
      0.515061221756461,
      0.600893031719046,
      0.434149530090665,
      0.537991471924006,
      0.481847695750214,
      0.502982463634111,
      0.482013559776969,
      0.410195864341997,
      0.592092744586132,
      0.497087428551045,
      0.598385835407874,
      0.575539349795965,
      0.550230608080808,
      0.551308108580823,
      0.552365149828718,
      0.693954852212782,
      0.588718211103251,
      0.587293596086939,
      0.417361717797299,
      0.636957025193799,
      0.557843466156422,
      0.544438164317079,
      0.358152560584125,
      0.690441804440428,
      0.583858293318656,
      0.503200133715163,
      0.528921234234262,
      0.617276681071996,
      0.75809080119343,
      0.511231088814388,
      0.565610903415217,
      0.628013960859926,
      0.400908773086374,
      0.753098887981216,
      0.559718642463335,
      0.514344298318879,
      0.516973446865999,
      0.479351633694556,
      0.750176280528076,
      0.578785152103749,
      0.563245584445923,
      0.566256996055806,
      0.604778679577754,
      0.636062841267895,
      0.454134692557573,
      0.599239439433283,
      0.643911402447442,
      0.652673499755229,
      0.613937571011077,
      0.56282974070688,
      0.55583132030596,
      0.465813756243271,
      0.56555793603295,
      0.516023875762691,
      0.600983554595256,
      0.524118317230637,
      0.647258517548747,
      0.718819185987733,
      0.521265080157741,
      0.551907473536844,
      0.489803186996922,
      0.620227230707774,
      0.496294033749225,
      0.527792416724232,
      0.551024716751554,
      0.553806515384666,
      0.583184921604022,
      0.422929583981245,
      0.62855242184299,
      0.5204497789748,
      0.611610781327471,
      0.588739939207131,
      0.673980432664752,
      0.568528640190151,
      0.582157110956524,
      0.573409728239629,
      0.448868510829599,
      0.714896725782425,
      0.613772916646786,
      0.49289106492417,
      0.632813412133299,
      0.455410253159189,
      0.483678047598341,
      0.502390547167125,
      0.715876405778628,
      0.747417979521879,
      0.572090036992338,
      0.562043054300228,
      0.515345097182089,
      0.655940340024082,
      0.481999710936148,
      0.688971462207305,
      0.693461025779204,
      0.594885191866023,
      0.570935512560664,
      0.558933148065013,
      0.5641602385672,
      0.48295510732913,
      0.562908519777889,
      0.514452428442416,
      0.685429731406259,
      0.538194356057757,
      0.652790620211966,
      0.508040785024232,
      0.536587555295647,
      0.567579416633576,
      0.696213021389531,
      0.593449117370379,
      0.622704038854935,
      0.570582985461459,
      0.528922805961496,
      0.545115089433219,
      0.599309957775899,
      0.467060613880494,
      0.529215194137931,
      0.699529549525702,
      0.629263098266033,
      0.602309618931757,
      0.63159405233985,
      0.486926761111765,
      0.554496603815768,
      0.541299556268427,
      0.702915241712079,
      0.582464201130215,
      0.542516928739568,
      0.592230822542336,
      0.492720163983062,
      0.400274829644335,
      0.497724813334518,
      0.705332306961372,
      0.605847670939301,
      0.534023227600115,
      0.675033102218395,
      0.584156554165877,
      0.621568522302462,
      0.811009833399562,
      0.663946608054629,
      0.616450868130294,
      0.548459117809319,
      0.555294276660392,
      0.509066416849366,
      0.422661310947235,
      0.560186659791707,
      0.547822167419826,
      0.550003331768382,
      0.512408775152615,
      0.679779824425228,
      0.529670666609284,
      0.522970719328633,
      0.536215017022066,
      0.490016663278266,
      0.377009970725036,
      0.499065218781729,
      0.594250491488106,
      0.589775746816224,
      0.523547386092233,
      0.604472473903868,
      0.714440493267885,
      0.715566077138017,
      0.554237997358128,
      0.665648224564718,
      0.609471438320512,
      0.509197197301583,
      0.519787587819203,
      0.575424225839591,
      0.493389925230637,
      0.328518870530481,
      0.588807036970127,
      0.617700816340267,
      0.562906804346039,
      0.808961939469925,
      0.873949507689771,
      0.572453491746788,
      0.530433610197,
      0.539763008379146,
      0.629412785455894,
      0.482486321587438,
      0.583049272954341,
      0.540243021078344,
      0.545392305308089,
      0.443070933436415,
      0.421949780011828,
      0.583049472190766,
      0.624162401227162,
      0.789317334235109,
      0.79062331925739,
      0.709979259145433,
      0.586621633721101,
      0.490951940958892,
      0.464724105549286,
      0.684330682483319,
      0.508912739748563,
      0.426806093496768,
      0.630054427434645,
      0.576719482963821,
      0.662920164681216,
      0.542921560582153,
      0.559252275311481,
      0.648529892471264,
      0.539272364682924,
      0.693403977475668,
      0.61658940384549,
      0.454836960160328,
      0.428022694921536,
      0.457987508753265,
      0.543442972471163,
      0.638013542622407,
      0.515102892595123,
      0.746837990262392,
      0.578454002997601,
      0.486924946601186,
      0.505332431869974,
      0.420086176760658,
      0.68274793416989,
      0.504605629120322,
      0.575961018129227,
      0.497455374568191,
      0.672791300564306,
      0.655820406957306,
      0.551267041042643,
      0.500329525308443,
      0.60632871238674,
      0.547466687108042,
      0.602080131883102,
      0.594119515580463,
      0.677301089723358,
      0.696246510741229,
      0.5140991899292,
      0.645777187695073,
      0.535855712749511,
      0.381668127398966,
      0.572252845329033,
      0.4780650853256,
      0.625480068563491,
      0.518555743849451,
      0.523303040193956,
      0.542986239567531,
      0.613527203699134,
      0.568683514896326,
      0.57620785295033,
      0.560853096684514,
      0.657805958621091,
      0.462294745185704,
      0.535569106185739,
      0.506930644179936,
      0.509580569889271,
      0.588188982824651,
      0.592000581478643,
      0.554447554088995,
      0.458587447352879,
      0.540899143085198,
      0.513470764763813,
      0.637347853595322,
      0.586899264680852,
      0.760602701682051,
      0.504094587524226,
      0.762049590777168,
      0.516296455970804,
      0.486077094329891,
      0.732121478902102,
      0.539488986999605,
      0.58320379815559,
      0.579963793384125,
      0.621873948296865,
      0.569889697805908,
      0.525107652986084,
      0.637341855598182,
      0.531464212812891,
      0.483898756340715,
      0.564447396403649,
      0.584713683177422,
      0.573903298097452,
      0.534111822125913,
      0.505404277460485,
      0.549936675395392,
      0.531368268908015,
      0.585841085430215,
      0.562938347008597,
      0.54657484550078,
      0.560563387141036,
      0.467701444306971,
      0.593731062005161,
      0.489895520767316,
      0.638642546650413,
      0.639308986316996,
      0.54326412988664,
      0.589023387892132,
      0.5704876458366,
      0.586268471484287,
      0.70636810270304,
      0.614297018886127,
      0.548814652204627,
      0.568872213275499,
      0.552519960222693,
      0.531952280978181,
      0.452021781042759,
      0.611389516267627,
      0.634644072186995,
      0.670644023322915,
      0.522238819038267,
      0.684221715060462,
      0.504518670619662,
      0.576947708397277,
      0.65537068660944,
      0.736380619203185,
      0.56711797068688,
      0.607663767436688,
      0.616011190892331,
      0.489225317338377,
      0.533570210851577,
      0.56627422011756,
      0.550188513124765,
      0.608292482492789,
      0.691296146309027,
      0.63781595498294,
      0.591411111474236,
      0.560237698068852,
      0.486394639372306,
      0.376026243361879,
      0.558990146624191,
      0.6488969589868,
      0.6991425486806,
      0.794015359811372,
      0.594197254791107,
      0.808296801446461,
      0.584091358150042,
      0.578015879970025,
      0.616139732131941,
      0.607438103846233,
      0.654606739573509,
      0.54695483692098,
      0.805365407714139,
      0.490367416480955,
      0.61082077665813,
      0.472171007271326,
      0.596121768500326,
      0.437248569461877,
      0.468625829404289,
      0.561785530521585,
      0.6087598362295,
      0.514167831812732,
      0.504557409264258,
      0.695093459950129,
      0.542905869183141,
      0.520592254831337,
      0.441697886000717,
      0.568008914848068,
      0.430528469074203,
      0.598567960358479,
      0.686815700270255,
      0.647818442745337,
      0.593890563601674,
      0.58522753960934,
      0.696897339866537,
      0.612593758772167,
      0.595362118862422,
      0.53123659959744,
      0.654339480457287,
      0.563748694038461,
      0.537751154854278,
      0.513437202590166,
      0.579766315730396,
      0.499014792472445,
      0.608367034565845,
      0.525370603357518,
      0.569893129329777,
      0.523742232534836,
      0.483778169784599,
      0.603042639225458,
      0.555788115757974,
      0.584436942227236,
      0.63195762541562,
      0.491583648686757,
      0.492564350638236,
      0.551990316137879,
      0.617875270532827,
      0.587051821348145,
      0.509617861701949,
      0.544324357627428,
      0.551457896100352,
      0.505668641658923,
      0.506977926661295,
      0.627172133071937,
      0.616491974802853,
      0.596809386579069,
      0.567363291247285,
      0.472017791088717,
      0.557970958163665,
      0.627378522562877,
      0.543001247131005,
      0.528945072443319,
      0.496893088405074,
      0.527148442740173,
      0.443250516629389,
      0.475857966878889,
      0.63582479942685,
      0.635257007177802,
      0.683386047776367,
      0.573151707766499,
      0.64677673970456,
      0.495010097439891,
      0.582088263987251,
      0.660489072911083,
      0.713184235440789,
      0.564635412781519,
      0.576657416117179,
      0.544140594508767,
      0.587948147064528,
      0.534551003752803,
      0.552522131327932,
      0.503311660399308,
      0.630336834631489,
      0.60513650681131,
      0.631513485325645,
      0.513370034094825,
      0.543638908977375,
      0.54561667616683,
      0.696225620597252,
      0.590275175888278,
      0.616199308688241,
      0.548256516677715,
      0.584180250643559,
      0.552133849002213,
      0.572912095185365,
      0.476553044894518,
      0.545006088912598,
      0.635922855854522,
      0.61642822104374,
      0.608228915413368,
      0.640107807881654,
      0.510648087689049,
      0.365159324228489,
      0.280400499481796,
      0.23726178678366,
      0.25464487833513,
      0.394922593225031,
      0.280072623078269,
      0.40181097140612,
      0.315872344238623,
      0.405314317060208,
      0.370706912863587,
      0.436493958085787,
      0.44563783002465,
      0.433847438787564,
      0.424724097321303,
      0.476785942671688,
      0.454130417823394,
      0.52626604854612,
      0,
      0,
      0.718645822425403,
      0.737697147787368,
      0.700779709087374,
      0.623755943311091,
      0.554193376704883,
      0.567630141358708,
      0.60220022446504,
      0.616128042067516,
      0.720781505372993,
      0.58163500486568,
      0.553568170643238,
      0.633738951550525,
      0.525405932243139,
      0.520900051831639,
      0.443904606831876,
      0.540016893456215,
      0.563037065447076,
      0.502619328169885,
      0.464703933449023,
      0.378703584841476,
      0.449063807061523,
      0.380506290164843,
      0.486370396297401,
      0.495186811504627,
      0.595419055643075,
      0.359357589213909,
      0.447548706471355,
      0.574327641010874,
      0.648325571076366,
      0.516905412742156,
      0.659717699660961,
      0.6196431130547,
      0.737591941997995,
      0.683949829992638,
      0.578680606459144,
      0.661493549005552,
      0.554412845638243,
      0.687053258701954,
      0.644725518117983,
      0.720649917579034,
      0.738100220241133,
      0.425171876336982,
      0.576390810912537,
      0.56476863788221,
      0.50059025553343,
      0.452610845411809,
      0.598180936654097,
      0.698403016846978,
      0.455496629138897,
      0.523443639035291,
      0.502048687506048,
      0.548333889393578,
      0.480170527523577,
      0.554251998052256,
      0.45290264151625,
      0.442641091537385,
      0.501840583128405,
      0.573118621577484,
      0.60828800421317,
      0.534288896051692,
      0.68020972946013,
      0.664512024541339,
      0.620395621672728,
      0.659248923435874,
      0.531748980868559,
      0.537795809242295,
      0.623939514915098,
      0.656481736165984,
      0.533209268372785,
      0.688896261986088,
      0.485507552864271,
      0.633634755605536,
      0.46855815971005,
      0.668732845013955,
      0.644097683727663,
      0.577825278403386,
      0.514394157796075,
      0.599353609866923,
      0.790082024934369,
      0.493321204180813,
      0.624954600988948,
      0.750415222953762,
      0.473730117753045,
      0.809999581209171,
      0.56855721877951,
      0.601205957493588,
      0.627571056182001,
      0.581666045118663,
      0.790089478369548,
      0.545416267142307,
      0.580082449260139,
      0.549683800850324,
      0.644029502896871,
      0.683150456475277,
      0.481608583758881,
      0.551659902787466,
      0.70872192615585,
      0.655848598392543,
      0.646781356051571,
      0.542059712661241,
      0.540071437538976,
      0.461934881161149,
      0.592253225279193,
      0.74394201337691,
      0.54495383746503,
      0.51826012900412,
      0.74347410367408,
      0.807079106267135,
      0.535943528369423,
      0.549717074822776,
      0.585126815942526,
      0.556791586897241,
      0.491628744597102,
      0.586890209177811,
      0.66413508173934,
      0.707094727161054,
      0.690741990865735,
      0.539170527125085,
      0.557490489937993,
      0.491936178583787,
      0.67292253113765,
      0.621082608510753,
      0.728041105014153,
      0.62564813982632,
      0.630462118768649,
      0.609441024432868,
      0.488835172542865,
      0.79387578520084,
      0.557732119189976,
      0.545999958437965,
      0.687098048117319,
      0.525881019499895,
      0.492605039009472,
      0.49173890259513,
      0.709679603125995,
      0.693140863514346,
      0.640814323245563,
      0.595399099508313,
      0.589103327146411,
      0.684788351694399,
      0.476674379625038,
      0.686883476088825,
      0.713968240537936,
      0.573397301084384,
      0.631312428446259,
      0.586187724829222,
      0.697445751548303,
      0.523071962569891,
      0.629387323112846,
      0.605489014782094,
      0.669483745304314,
      0.619722684538554,
      0.697296948261094,
      0.682870534318927,
      0.624366602411729,
      0.571421654239026,
      0.701101570246268,
      0.628585841222678,
      0.626320981846787,
      0.600416894319682,
      0.5768623671647,
      0.523978510536722,
      0.619956789322076,
      0.366606217998968,
      0.594015568629035,
      0.619840198369184,
      0.634662607034583,
      0.609494586376037,
      0.631880504215202,
      0.563870765877417,
      0.601755512458975,
      0.555038546449287,
      0.687671428411173,
      0.587848559274978,
      0.605212644411364,
      0.628610338152875,
      0.657685119746704,
      0.494178886139242,
      0.504987829844243,
      0.677350612908707,
      0.680654454518342,
      0.642575658834819,
      0.636035008421808,
      0.637337480270224,
      0.629595983845157,
      0.7749833347883,
      0.522749153151641,
      0.517989525954353,
      0.592247747521341,
      0.574658164571749,
      0.655737913044253,
      0.440425076117073,
      0.480783828518502,
      0.531120953766299,
      0.53864222849392,
      0.660983921144091,
      0.630317384548308,
      0.559589667088486,
      0.682755436276397,
      0.67028680079936,
      0.541681645510007,
      0.48041699840393,
      0.625226599399327,
      0.536942034062402,
      0.567045043802333,
      0.556601431016515,
      0.765023598227661,
      0.821266844706039,
      0.681051638706779,
      0.604865209751216,
      0.68936352750718,
      0.588562065064201,
      0.575668170774054,
      0.532010641293834,
      0.541476103040725,
      0.500160167662369,
      0.568907794267888,
      0.674078071098575,
      0.592756034077573,
      0.662462373278518,
      0.879961762388815,
      0.852511826587963,
      0.642288548493388,
      0.625739218146086,
      0.572414044915272,
      0.64173989538844,
      0.48136435122176,
      0.565421720457363,
      0.600930350873213,
      0.684572070998333,
      0.593792951045219,
      0.642770483278267,
      0.517371009803427,
      0.613808434120625,
      0.866538555422547,
      0.844932613086119,
      0.719271793568529,
      0.607558029361025,
      0.476969983297749,
      0.516078241939412,
      0.65752692713708,
      0.455609363569696,
      0.510902499104029,
      0.542439179627766,
      0.540302216057042,
      0.742304593491687,
      0.516843753675048,
      0.669749045619588,
      0.791529992561215,
      0.649304003771794,
      0.74551090687121,
      0.710129480132172,
      0.412332113656008,
      0.413598600569385,
      0.509291477477611,
      0.580969324013058,
      0.587393277653606,
      0.542277262104532,
      0.793301315477866,
      0.654038947991356,
      0.626661658282802,
      0.53238830460848,
      0.571492021956912,
      0.67496868254319,
      0.535474308511085,
      0.653252391135358,
      0.657382981814015,
      0.676615221648827,
      0.713557287183321,
      0.677355429032606,
      0.511558448943021,
      0.597392647614593,
      0.599769849002483,
      0.712266261480805,
      0.555673716533324,
      0.618676000860527,
      0.657591642680794,
      0.438846207567404,
      0.670032263570333,
      0.643713714833519,
      0.378915249637932,
      0.525373526553478,
      0.521997306574309,
      0.685173475000965,
      0.576676353500355,
      0.554513357085611,
      0.636413970129888,
      0.617227834469606,
      0.553773656739951,
      0.581791860485015,
      0.602660092281492,
      0.721067795069008,
      0.545257222022709,
      0.541781163365423,
      0.548465421566749,
      0.597120004898696,
      0.596675992086889,
      0.588029647596792,
      0.497162503251587,
      0.430853905467854,
      0.599643896852798,
      0.642986695715223,
      0.603907541428812,
      0.585817459488711,
      0.796496632181529,
      0.574082811702547,
      0.807657258461362,
      0.547889073928643,
      0.538885417312181,
      0.556737933711921,
      0.425708395889237,
      0.646378339377501,
      0.655850688325885,
      0.768474925706743,
      0.649715517667986,
      0.553236079392089,
      0.61847139302144,
      0.566632378196756,
      0.54012787824576,
      0.649149903074557,
      0.5840237269839,
      0.58659090535104,
      0.487963872874149,
      0.643210416973699,
      0.488555852051861,
      0.466472141044521,
      0.54898531031137,
      0.62612567747176,
      0.519139332670002,
      0.559044888395056,
      0.498877282851192,
      0.628354244890136,
      0.497575111072939,
      0.496816206092105,
      0.640545314066181,
      0.629114515228979,
      0.548527574215966,
      0.605046170076336,
      0.530505491650708,
      0.670187240735526,
      0.606108710175545,
      0.554418739349837,
      0.65771642272372,
      0.60211052338629,
      0.620213238606902,
      0.536189582837531,
      0.645611874946716,
      0.628053348658309,
      0.739166383141543,
      0.618145715689862,
      0.663466277267982,
      0.636607230266697,
      0.562671744805984,
      0.632766931496765,
      0.746883486336283,
      0.567508292736616,
      0.644248457382292,
      0.631801869428624,
      0.526735784872273,
      0.509426328877059,
      0.659491708537849,
      0.564290084057013,
      0.592683753626646,
      0.637334540828601,
      0.712282573005076,
      0.595015489644116,
      0.601965878910569,
      0.544537440014909,
      0.483941725808536,
      0.525547821009266,
      0.554405286301925,
      0.708229149931798,
      0.759707568751401,
      0.60865740156714,
      0.771390053987701,
      0.593395948389497,
      0.519190719664359,
      0.593542751657491,
      0.560445163923033,
      0.741647355472069,
      0.643109221455055,
      0.809611081927411,
      0.488067309306781,
      0.504470959588108,
      0.537477768214027,
      0.584652914628676,
      0.482254717688589,
      0.457364240335154,
      0.724446285013383,
      0.654352717574016,
      0.401427971933701,
      0.63347160436025,
      0.721322436072154,
      0.469079928340157,
      0.557059789426196,
      0.524666271782416,
      0.659593146889462,
      0.629485939199738,
      0.567137596183588,
      0.699519150307721,
      0.652769089055498,
      0.546254199046657,
      0.538012821745589,
      0.675910475039271,
      0.552499220010017,
      0.595299011902988,
      0.590236390378419,
      0.725005517822468,
      0.633841247875586,
      0.588961576602045,
      0.524119145579409,
      0.564861271810631,
      0.41061868374069,
      0.675410880085362,
      0.646613814647344,
      0.553433545848465,
      0.500162298189601,
      0.584990292604874,
      0.648197432779816,
      0.581144938658501,
      0.678574890017481,
      0.70812148442298,
      0.532734249370818,
      0.587079488670586,
      0.560749168315835,
      0.681078126176535,
      0.701748939730371,
      0.676467557515736,
      0.568990225275094,
      0.575591119821614,
      0.537153990805066,
      0.537847346299405,
      0.590299788274712,
      0.651896074725803,
      0.710211014363923,
      0.565019895241103,
      0.570047148081057,
      0.509066121397289,
      0.624213245838568,
      0.539876193460236,
      0.581945464929691,
      0.569848700954403,
      0.536571733202856,
      0.51126894090799,
      0.470219851424879,
      0.668371669840554,
      0.565009826242649,
      0.717703338490459,
      0.638425042851692,
      0.606674355366064,
      0.556693045993043,
      0.520275644190725,
      0.65155074234058,
      0.728656757930889,
      0.602739898118338,
      0.637321696171687,
      0.601029247961219,
      0.653397570569385,
      0.582402417674305,
      0.629722384775988,
      0.563310219272684,
      0.614286551508549,
      0.610394608312588,
      0.699193336528218,
      0.670992924249396,
      0.668052459602437,
      0.534498975654418,
      0.649244347765218,
      0.649069313848958,
      0.648547886262035,
      0.599729889103587,
      0.60053741731084,
      0.554384505611874,
      0.585820037072833,
      0.357557486372526,
      0.522154764055712,
      0.606665168820479,
      0.616483770788121,
      0.622440849787211,
      0.617914758873951,
      0.565266312187254,
      0.477132278661939,
      0.387373408638626,
      0.33882757123409,
      0.328830462899829,
      0.46924183020443,
      0.372684017925304,
      0.426757415644723,
      0.373870753658076,
      0.444839061482474,
      0.359982220194182,
      0.447628974961184,
      0.477545950851987,
      0.475563980273618,
      0.411591558168168,
      0.439072760682243,
      0.426422801963751,
      0.507829933743053,
      0,
      0,
      0.843220850516126,
      0.866932477560372,
      0.83328286057985,
      0.721949995051218,
      0.6632657921285,
      0.746297656246109,
      0.703586942696255,
      0.780541155963952,
      0.851133087559438,
      0.677671952508566,
      0.707052675916394,
      0.633991711063858,
      0.710217224514372,
      0.670686895551839,
      0.524283799423155,
      0.632242712768792,
      0.505461284204075,
      0.38767465973288,
      0.515488239576049,
      0.396777495332711,
      0.508131124737158,
      0.426337439370671,
      0.555823301793322,
      0.581231792212657,
      0.508680121432503,
      0.319534039819525,
      0.472455165808726,
      0.600163466933181,
      0.794434305134835,
      0.560999212874739,
      0.715909592731567,
      0.745055062131317,
      0.717388554936865,
      0.733417069893493,
      0.627425216705271,
      0.725641332099786,
      0.695993178563883,
      0.843277822064939,
      0.716541470275247,
      0.720477374370525,
      0.753000167612723,
      0.504462886669109,
      0.555479762907656,
      0.82186239045302,
      0.588098459853731,
      0.647614863570937,
      0.684548976062768,
      0.730626964530287,
      0.542297733600472,
      0.510153723865,
      0.574242800334883,
      0.675464260258127,
      0.617417070726799,
      0.599863069394835,
      0.529818997373907,
      0.4161431164395,
      0.480987472359181,
      0.859992878477041,
      0.695300254816631,
      0.75854528200601,
      0.729641451755399,
      0.797890911405583,
      0.773741764053444,
      0.750273127976522,
      0.692520194182527,
      0.65414274789861,
      0.683084311809304,
      0.759269330032139,
      0.727176954540108,
      0.793102371352919,
      0.62253818613739,
      0.837633834465025,
      0.612658700075852,
      0.662214995463389,
      0.726792210027286,
      0.836578086851423,
      0.614468558544585,
      0.587854342291907,
      0.764188050910653,
      0.607579694288877,
      0.693675488362148,
      0.747441189227191,
      0.574229167292761,
      0.697715264276485,
      0.570952571235775,
      0.690069677970515,
      0.704575627458372,
      0.707979887596273,
      0.780012130658903,
      0.792576740302774,
      0.658466349246355,
      0.758652452876272,
      0.718357039097488,
      0.689627218436422,
      0.59154270636281,
      0.713795719474801,
      0.773008580286287,
      0.713193709728444,
      0.705508438044432,
      0.740620257367327,
      0.64834856529573,
      0.465343859222665,
      0.665774097098962,
      0.818675504647159,
      0.57255819492025,
      0.595004647225154,
      0.777721765997282,
      0.697720260257157,
      0.634695940930649,
      0.658537377256102,
      0.559924945026234,
      0.651013358147021,
      0.530145703115916,
      0.738987982318044,
      0.794356908284112,
      0.872151911752915,
      0.814406304031874,
      0.654364125520476,
      0.514673062608464,
      0.645307651569917,
      0.683165390599454,
      0.7967320588917,
      0.759098035877705,
      0.696860372629791,
      0.703287991663727,
      0.645078756787598,
      0.659273394256761,
      0.718660624429122,
      0.635601734112444,
      0.623232688653697,
      0.711203187918396,
      0.579259625043965,
      0.513196615266493,
      0.50852428830969,
      0.706325680310044,
      0.656638548554889,
      0.634711393170808,
      0.798353105485116,
      0.710720379347039,
      0.66723191366182,
      0.51181314001882,
      0.687296376478646,
      0.799353987495065,
      0.788394074235519,
      0.689180686327572,
      0.633345086430724,
      0.821561825927351,
      0.530544480057626,
      0.692846506067035,
      0.708297673238473,
      0.653833985355383,
      0.712277530609154,
      0.69090533837615,
      0.784587441267888,
      0.661047021405178,
      0.632941519779741,
      0.746938735549852,
      0.697937437018745,
      0.651022089662916,
      0.593951610731863,
      0.644480205700715,
      0.56798687813857,
      0.750040391499946,
      0.451957677337138,
      0.674877205874349,
      0.573228209817305,
      0.688414264400539,
      0.579027701799697,
      0.599204550532569,
      0.608723795419639,
      0.651477136598478,
      0.689596631547651,
      0.685991358180073,
      0.701369863454454,
      0.706781344765869,
      0.703477709804114,
      0.805990719101306,
      0.556625219745975,
      0.674462297525301,
      0.633686669936338,
      0.730169947702842,
      0.72229923810173,
      0.741544031047491,
      0.733676333366771,
      0.588769671670298,
      0.609262037344278,
      0.625432644690959,
      0.5901277810267,
      0.710721547173766,
      0.605648557099186,
      0.751201695434353,
      0.453815681168129,
      0.448662826876463,
      0.582547534548251,
      0.511324261664907,
      0.783201181364131,
      0.580781723490456,
      0.637197921368218,
      0.785656871814299,
      0.770689600986338,
      0.669639784997851,
      0.626713041071214,
      0.831842716827304,
      0.675981723029795,
      0.733812437713669,
      0.641557354938374,
      0.777986012965973,
      0.718693283658213,
      0.528738729304895,
      0.649475502847145,
      0.727681625655138,
      0.624288413142655,
      0.574001030245717,
      0.620471985528652,
      0.550859831419046,
      0.45462292954566,
      0.794828560598012,
      0.763006565571771,
      0.592028125761949,
      0.603980627170587,
      0.74986800695532,
      0.634529056455591,
      0.578991351445368,
      0.588663758185182,
      0.513040698464761,
      0.620215619126053,
      0.69324751678499,
      0.78569320370141,
      0.762457515197352,
      0.806322163614624,
      0.72513098000209,
      0.81305273526154,
      0.604206837444597,
      0.687216194438621,
      0.767976726326707,
      0.739322965008262,
      0.729470532680486,
      0.637588591005062,
      0.604865172734349,
      0.611777773060812,
      0.719149912876448,
      0.741092998047349,
      0.586998353420187,
      0.560418718317619,
      0.793698992280015,
      0.793398706473676,
      0.577621617204077,
      0.805683952741376,
      0.839950839551298,
      0.776499399154673,
      0.617838488365223,
      0.724513427631584,
      0.431419787790313,
      0.549530380461074,
      0.538949922067271,
      0.759909663478233,
      0.736028032987465,
      0.678748429537861,
      0.767468818681613,
      0.817464640338988,
      0.747679237253199,
      0.661181589303372,
      0.757223971961585,
      0.769647434042813,
      0.693632641668207,
      0.707246153943638,
      0.795197848822549,
      0.767825870818676,
      0.726033301701106,
      0.68048614990739,
      0.528543964158859,
      0.537913439316836,
      0.672912010789956,
      0.866208821322493,
      0.668883644671315,
      0.6852153818974,
      0.661103453079205,
      0.603688425372453,
      0.674114757612699,
      0.706878484137423,
      0.649488737717251,
      0.561299464820497,
      0.526658182940806,
      0.671315657808145,
      0.657346042408362,
      0.718939170751852,
      0.809183338933335,
      0.788104188981808,
      0.664983437700231,
      0.7727717382405,
      0.690390118618003,
      0.76692138096794,
      0.594235850469932,
      0.601963385235771,
      0.734461951719171,
      0.711639105178125,
      0.659184067778179,
      0.660575714830162,
      0.598453988667985,
      0.469135424596927,
      0.560856956827388,
      0.800461384919572,
      0.598540997486188,
      0.624767144964912,
      0.712769399332364,
      0.816642639007907,
      0.832403280728392,
      0.57818233282687,
      0.71021972058852,
      0.626975085765915,
      0.457323757176088,
      0.767768261520509,
      0.803071686173481,
      0.831435051901309,
      0.738920179469924,
      0.620406116623529,
      0.642136162074658,
      0.715113179967747,
      0.691044681225616,
      0.80566359203264,
      0.68688859310076,
      0.642277663853531,
      0.527546145795214,
      0.730419521413105,
      0.656436858840266,
      0.562582483529177,
      0.717026631993298,
      0.771187198733056,
      0.522726912369473,
      0.660099263764721,
      0.630238872230905,
      0.615995877112378,
      0.522992423297817,
      0.556970452287964,
      0.581693397950413,
      0.5522444162116,
      0.615185768899741,
      0.716613988177011,
      0.482121001655984,
      0.743710872581493,
      0.712516402790174,
      0.757118936676768,
      0.753902591008939,
      0.698035207231274,
      0.779228082218255,
      0.618949037312988,
      0.649817779721522,
      0.75449759543654,
      0.689199041887138,
      0.723694792382045,
      0.706110680952893,
      0.733598544866496,
      0.65508986899073,
      0.606668921312609,
      0.795444967676077,
      0.706619341265861,
      0.606840320143263,
      0.647828442829018,
      0.526455342134709,
      0.566761803704262,
      0.688000103409208,
      0.565673479315412,
      0.628255437369484,
      0.610933463541397,
      0.677428815428362,
      0.617614172700705,
      0.560612623469565,
      0.608573800603608,
      0.648966407617229,
      0.673070335511051,
      0.690069165987456,
      0.759542710443478,
      0.779383962465438,
      0.763845216813113,
      0.782814647542586,
      0.667547999630762,
      0.711619266600166,
      0.725800672229414,
      0.745921457283648,
      0.777931378730146,
      0.814674024848964,
      0.698283614172136,
      0.497287855054614,
      0.52172438176834,
      0.485647587983278,
      0.575210144710627,
      0.599333864715955,
      0.569293983992694,
      0.75697048867939,
      0.661487422927815,
      0.461963088884628,
      0.736870954877267,
      0.804107594858334,
      0.525250503624955,
      0.779721064514457,
      0.723071332483118,
      0.744181173306921,
      0.705257534330078,
      0.665130695824242,
      0.727138026703018,
      0.696007737093223,
      0.633418300526111,
      0.766556193358304,
      0.678439888936013,
      0.617635607180813,
      0.582500713066726,
      0.609166760179775,
      0.659082852369413,
      0.722040414157604,
      0.628989199847163,
      0.649184471072898,
      0.617040897051774,
      0.523890062073718,
      0.60058098568428,
      0.699088658993817,
      0.58332503954247,
      0.570602675144912,
      0.567923833327615,
      0.699929815718797,
      0.489902455079573,
      0.671759048973581,
      0.67178452557002,
      0.590565110730648,
      0.585150428256122,
      0.699223629986878,
      0.806957531191659,
      0.827894992366537,
      0.802954959677486,
      0.689762580436364,
      0.652329091203954,
      0.647171594548797,
      0.655456807980597,
      0.779033573480176,
      0.706907098430727,
      0.75031277042879,
      0.641855405856932,
      0.614377482595103,
      0.573682242361049,
      0.608218583723415,
      0.668032592810896,
      0.755597158642582,
      0.630552956233529,
      0.6464100026421,
      0.691543846679188,
      0.565822898910693,
      0.602411425142944,
      0.627552457975656,
      0.659491558444306,
      0.593176336672563,
      0.644683523112363,
      0.694817509157418,
      0.616956449018563,
      0.595065776082504,
      0.782804861006736,
      0.789975703986895,
      0.701347183174524,
      0.601317572387988,
      0.813353026394811,
      0.635290692896248,
      0.672245183763462,
      0.729741612693438,
      0.728144774133497,
      0.671414513847006,
      0.72733501656256,
      0.776028580537757,
      0.717509288157911,
      0.627241358796122,
      0.714931855496507,
      0.670357047689634,
      0.696678310574185,
      0.618112365547631,
      0.653944397437031,
      0.525319202796153,
      0.770440495742873,
      0.409584151407203,
      0.612975287563366,
      0.569338431672182,
      0.650966830296224,
      0.645592036403503,
      0.594009266928287,
      0.62339328586235,
      0.471055677868968,
      0.40089487305327,
      0.299873061428254,
      0.273125160167946,
      0.450564793937245,
      0.383763745618879,
      0.377769803321037,
      0.351381357867382,
      0.452431894530976,
      0.315052404822089,
      0.364156998266671,
      0.472350499807269,
      0.432609711492965,
      0.42313882860745,
      0.396091799381548,
      0.439774679343387,
      0.524022099687073,
      0,
      0,
      0.729684775173933,
      0.759986149215712,
      0.735786267137691,
      0.654743453116681,
      0.62736337086819,
      0.733604654127357,
      0.72292583850584,
      0.717198955656926,
      0.757107555100748,
      0.67678098651376,
      0.66481306070797,
      0.6391933648332,
      0.704781394902026,
      0.641345614477794,
      0.39968247450266,
      0.526800523609356,
      0.36798038145093,
      0.413464253446551,
      0.413518463661252,
      0.373192312753602,
      0.517657758262183,
      0.411456752903428,
      0.443374985493654,
      0.45071720455617,
      0.388339244729521,
      0.422710193360504,
      0.413012612261619,
      0.598233542869795,
      0.805860498945652,
      0.535006983475757,
      0.669380006221226,
      0.638520645687532,
      0.617558920501027,
      0.686208713742245,
      0.526379618078001,
      0.707620714610826,
      0.759486300807827,
      0.797386524926468,
      0.68966343605686,
      0.664421739633359,
      0.687832816521538,
      0.457666902819739,
      0.514588926905759,
      0.865410242013859,
      0.540694701711247,
      0.708909814483517,
      0.570073849020038,
      0.763583283476022,
      0.568870417037092,
      0.464693874511509,
      0.836914641243328,
      0.763564746070927,
      0.686548977443824,
      0.556568054887012,
      0.531644629478697,
      0.378403749821347,
      0.390471574221229,
      0.87492821249186,
      0.71040388878707,
      0.769019690543577,
      0.755195377050145,
      0.764665582185142,
      0.712120110927589,
      0.670209524940948,
      0.715152587114349,
      0.66682413029024,
      0.643672230233002,
      0.736154594528371,
      0.708158073476937,
      0.7045947528517,
      0.585304068376849,
      0.818677552622243,
      0.626130583151086,
      0.666884939345348,
      0.703714124305095,
      0.837554456223356,
      0.552582683360714,
      0.618166806483853,
      0.650189337951456,
      0.663481683561643,
      0.753099331393539,
      0.673510771958155,
      0.52122494010344,
      0.520467964351579,
      0.521180099022629,
      0.637253052022989,
      0.711992400110738,
      0.659442914329841,
      0.740245378066091,
      0.839698765463456,
      0.600756074184299,
      0.742989120754516,
      0.746550675393501,
      0.663271266592238,
      0.576352893628023,
      0.705412652316843,
      0.652442328824892,
      0.704317981627067,
      0.670451434216896,
      0.80495149627348,
      0.784906541341947,
      0.46962853423586,
      0.721006880241522,
      0.709766375448043,
      0.632715279598926,
      0.533989081763312,
      0.650611642450381,
      0.543467296237465,
      0.684249123730224,
      0.604604871199385,
      0.549145943814255,
      0.635682169185117,
      0.450780328250049,
      0.695114543473853,
      0.74143070483497,
      0.823407726242751,
      0.721021989369313,
      0.64358203974362,
      0.528529235749266,
      0.625085398214554,
      0.657057536067509,
      0.740399239654386,
      0.747658490975493,
      0.719774154918818,
      0.580757074572498,
      0.605856380174193,
      0.649960363026757,
      0.555807798956355,
      0.6432562386139,
      0.52141632500346,
      0.82949050815113,
      0.626349677831609,
      0.560983523766313,
      0.419790177124635,
      0.665970995016951,
      0.623885335406799,
      0.563589995288568,
      0.767913275283827,
      0.777671298810551,
      0.566008601113244,
      0.572520672158906,
      0.65467706745746,
      0.794244749426797,
      0.771176717383275,
      0.694964538907965,
      0.611249245083431,
      0.722425662395289,
      0.554599037614711,
      0.658855706358756,
      0.655265259873775,
      0.659640688690974,
      0.677042647516984,
      0.618791194479199,
      0.686090638199194,
      0.584419170052995,
      0.559326581720548,
      0.782620265978825,
      0.705863155988308,
      0.587634529433066,
      0.550205956530557,
      0.597588800624166,
      0.454891591851705,
      0.758763605581656,
      0.390770470522266,
      0.659886875347065,
      0.573069175593143,
      0.623266398615789,
      0.558282205287327,
      0.570464031780129,
      0.568617158659,
      0.658426733766286,
      0.754256443262208,
      0.740399698315369,
      0.670082502103836,
      0.728680216510644,
      0.688443630839249,
      0.763921879203187,
      0.497140485146643,
      0.646124201314655,
      0.636479600599237,
      0.722786133373343,
      0.754874172974828,
      0.703268052453162,
      0.644375226772881,
      0.527760225552738,
      0.565518478873251,
      0.626572835260364,
      0.711832225307545,
      0.641787078290835,
      0.543674865011205,
      0.711777802185996,
      0.480922551616572,
      0.364460455838574,
      0.619172232544916,
      0.517494664524848,
      0.79156418809524,
      0.574888731559178,
      0.605790021018099,
      0.714335022393939,
      0.69301183231192,
      0.642607298651214,
      0.578245972559229,
      0.785713327054333,
      0.640919087689937,
      0.757178847263182,
      0.5661745235341,
      0.656780347040543,
      0.550827983704767,
      0.445787515797825,
      0.613988389922849,
      0.791189790635204,
      0.603378036054811,
      0.572824722425343,
      0.614883550898679,
      0.464609599708064,
      0.443907336379383,
      0.768990149973039,
      0.776898113011446,
      0.567623648148328,
      0.420575315315372,
      0.454298936244592,
      0.442926264982866,
      0.552158530558474,
      0.530513434233257,
      0.56558393688573,
      0.544078244211613,
      0.694585777588664,
      0.869716260497803,
      0.695926006929857,
      0.680010976920352,
      0.731149266953651,
      0.777691106997818,
      0.590216311420504,
      0.703934381483962,
      0.716641603740184,
      0.627876603999983,
      0.660265700496791,
      0.573504547016949,
      0.56485068651373,
      0.611374997396193,
      0.76022701757353,
      0.811412805428973,
      0.486013017079942,
      0.580224997311479,
      0.798576913800832,
      0.754009876754727,
      0.54818349909915,
      0.73490221959274,
      0.735339708907809,
      0.781337804791417,
      0.52733850003121,
      0.656038884396766,
      0.450138594924712,
      0.506478286319005,
      0.479379217283605,
      0.855706794314481,
      0.734614840786905,
      0.71403922346274,
      0.692631009767417,
      0.750384760541737,
      0.697948214215048,
      0.633890145199371,
      0.826144062821678,
      0.822263041097298,
      0.702711820814976,
      0.7295769458411,
      0.710194406385166,
      0.82475522017917,
      0.648970379493415,
      0.590651149664795,
      0.512811874736194,
      0.73230091518734,
      0.67394694354602,
      0.788426057317004,
      0.655216789308763,
      0.669865743579602,
      0.556415793423299,
      0.7327005580723,
      0.598687362325336,
      0.734457000518076,
      0.685056171746947,
      0.553318339177706,
      0.522750097353141,
      0.722189968743302,
      0.619688911437655,
      0.76206119495235,
      0.872178796249352,
      0.779074416447618,
      0.612656075679354,
      0.723599352083615,
      0.687868203471356,
      0.754408245406936,
      0.543226573495438,
      0.550434992793492,
      0.810814033571349,
      0.735208695263652,
      0.609539282306662,
      0.695615818474727,
      0.673865828459655,
      0.452797763333454,
      0.512219947358374,
      0.755167742481381,
      0.573833752290454,
      0.667508210028465,
      0.580239528048573,
      0.807328187940539,
      0.790528337691912,
      0.607560263259566,
      0.698383433661977,
      0.57655087810292,
      0.429066218856879,
      0.678059300614241,
      0.712640249836546,
      0.756648318497255,
      0.65784968849099,
      0.562071382824406,
      0.695623709379567,
      0.667755406231585,
      0.646120063114694,
      0.727084831672679,
      0.615469100383309,
      0.648875496027582,
      0.530182719635545,
      0.697072871702494,
      0.647488699594507,
      0.530561515296057,
      0.720611208246929,
      0.790060665527981,
      0.499734118755028,
      0.604889495739814,
      0.629345375331101,
      0.679427418517881,
      0.538384950668307,
      0.420031096347781,
      0.497726327455623,
      0.607183919667751,
      0.528178320657696,
      0.659642580156788,
      0.623147183848387,
      0.75970770412728,
      0.714851100382888,
      0.755734091168739,
      0.689056872066589,
      0.630749708374467,
      0.714763490782115,
      0.560531967975488,
      0.607784862760736,
      0.715676467633541,
      0.660916057690523,
      0.665182063744491,
      0.66917345771086,
      0.679049444067228,
      0.611766907655954,
      0.62117414861529,
      0.786351552182728,
      0.70658066645579,
      0.565683975807429,
      0.609977355843595,
      0.482823595093486,
      0.465646245288219,
      0.633818123091917,
      0.551454675775589,
      0.602968121907444,
      0.5899070218155,
      0.661662829790688,
      0.645050864962004,
      0.54867248046309,
      0.642054160313727,
      0.660579846397466,
      0.658460335701974,
      0.686631796764051,
      0.788547342755104,
      0.747326746395689,
      0.695489066209452,
      0.675315848301884,
      0.599876143623146,
      0.699558562144372,
      0.702361734927085,
      0.735434479860225,
      0.763121593063173,
      0.749415086821407,
      0.589416851380979,
      0.342395938374538,
      0.454658210812766,
      0.416457264996851,
      0.572810957604763,
      0.524735042626375,
      0.448026861300977,
      0.580400307121186,
      0.599087082387016,
      0.494331799275634,
      0.640474780057678,
      0.773964232334263,
      0.483942842202563,
      0.791067622323049,
      0.749599729854464,
      0.706573301448386,
      0.631770902707016,
      0.65178554226486,
      0.665956227266931,
      0.679574818316996,
      0.570156457422684,
      0.771168409237612,
      0.614792814279404,
      0.62867501158422,
      0.639599354479553,
      0.57937769897214,
      0.550884239516181,
      0.691769217802465,
      0.58020114364555,
      0.742203214848351,
      0.707916001764132,
      0.549307259654613,
      0.472967278666682,
      0.665470683514781,
      0.525868128055808,
      0.520040856404045,
      0.586597877522634,
      0.594611168357217,
      0.485383478764697,
      0.565595370136752,
      0.461585735564837,
      0.613612655742814,
      0.515272448987073,
      0.650564954868319,
      0.727981392804002,
      0.800520708754271,
      0.699030115222285,
      0.63358743201686,
      0.584855529040677,
      0.713306657987563,
      0.689135834933274,
      0.732049828468606,
      0.624600360412681,
      0.692707097220299,
      0.574373267032959,
      0.588429615800321,
      0.633000648345905,
      0.605549073738386,
      0.660951728139575,
      0.774822050155336,
      0.59669542066729,
      0.591731850710554,
      0.632215590255721,
      0.561813045426246,
      0.604273527493578,
      0.540423271431593,
      0.64727208888525,
      0.53092643498006,
      0.609098186484517,
      0.67786599612092,
      0.601387556787042,
      0.634276163877669,
      0.776939186175933,
      0.780642015569248,
      0.711443428593824,
      0.61978656721971,
      0.730404635819521,
      0.575609704528746,
      0.603504724421429,
      0.692868368292857,
      0.714067252879841,
      0.658784985861654,
      0.693647931118342,
      0.69887345435619,
      0.57566402409575,
      0.579972688366614,
      0.755421984630076,
      0.748340691637593,
      0.659159999680463,
      0.545491917132409,
      0.618222294116487,
      0.489154159843191,
      0.781614367341669,
      0.379764326788027,
      0.625616436985337,
      0.550264924130366,
      0.556568491055918,
      0.637191269130578,
      0.589352031048358,
      0.563533915231215,
      0.452829729184985,
      0.442554321762244,
      0.274124131067471,
      0.296815946672517,
      0.437997928162492,
      0.387655227647663,
      0.438337499052755,
      0.399808719498504,
      0.476694777784302,
      0.32590793126088,
      0.439369139019262,
      0.49024723371758,
      0.444947336808964,
      0.289242163729135,
      0.362356056119637,
      0.364245340998749,
      0.483289851670063,
      0,
      0,
      0.439703963945288,
      0.474885343134703,
      0.525642095274237,
      0.466010024239823,
      0.462580177264572,
      0.545568230197137,
      0.599915030618684,
      0.500991234891026,
      0.552625313783114,
      0.510581658732937,
      0.432725466706991,
      0.492835420183525,
      0.514812557689366,
      0.634446401983068,
      0.357060433358208,
      0.458517812578108,
      0.401289758598865,
      0.550331996953667,
      0.303583109629315,
      0.389932814653879,
      0.524567532168739,
      0.350772012943455,
      0.475081084221243,
      0.283535106742928,
      0.463978724196868,
      0.485761238440984,
      0.45145501534101,
      0.58843648460308,
      0.633236469551128,
      0.44421413317853,
      0.488197949890351,
      0.463984597788362,
      0.474754342544939,
      0.473484047222937,
      0.417279971626658,
      0.76693268052423,
      0.621482201631087,
      0.586983490837548,
      0.495661722661179,
      0.58080739121097,
      0.477863933939848,
      0.464087132367153,
      0.589244054182967,
      0.70235819880675,
      0.512547704942892,
      0.546251628086218,
      0.520861756823728,
      0.662250484169763,
      0.466606348993308,
      0.532720324223847,
      0.836872841220845,
      0.720471387259423,
      0.561274727186619,
      0.508169252249569,
      0.475877807941381,
      0.471622475810357,
      0.472089380504788,
      0.674747004048999,
      0.585933557251964,
      0.589720253093241,
      0.622846232105758,
      0.498098090075074,
      0.447190819938595,
      0.551559795396448,
      0.526914719733914,
      0.497532964464692,
      0.553323908587482,
      0.537490763801835,
      0.477602140000333,
      0.532606124302694,
      0.51716647739816,
      0.52223934368742,
      0.709304872089655,
      0.604123985877108,
      0.538674621295763,
      0.567753621687355,
      0.342202658668262,
      0.641679328354848,
      0.523519674731289,
      0.506237991994965,
      0.662988294353446,
      0.613028690300976,
      0.38541785480727,
      0.4204833269214,
      0.45856860208908,
      0.612030564880001,
      0.693560739139856,
      0.656659894813113,
      0.682600528091119,
      0.691376832805495,
      0.704190971813728,
      0.525647394994849,
      0.735790777395835,
      0.568010345656942,
      0.514100636894901,
      0.631998911532646,
      0.562188408172838,
      0.59381857352534,
      0.559664071755708,
      0.684829287643854,
      0.825584782667532,
      0.460847261499704,
      0.673346369681428,
      0.591632130348816,
      0.625650147644393,
      0.593689888240776,
      0.489384858507145,
      0.456633560071612,
      0.689196919536302,
      0.503274469104938,
      0.546379587529072,
      0.769694138723937,
      0.561362511898781,
      0.715738793997781,
      0.538722404261456,
      0.614681899492785,
      0.54464596197466,
      0.476368536953128,
      0.478752906403453,
      0.497766463265203,
      0.42919979587193,
      0.503214676486105,
      0.571869902044732,
      0.648048673387334,
      0.449285546217275,
      0.467480145191773,
      0.514214178909968,
      0.482386855656406,
      0.516768156738985,
      0.496128987983837,
      0.829164394208078,
      0.56578138152212,
      0.554200071443912,
      0.567635881607866,
      0.682114815892104,
      0.590767140153701,
      0.472416326016966,
      0.591378894893483,
      0.750968289995894,
      0.517026784239978,
      0.642895329982189,
      0.590902768373446,
      0.772403068798386,
      0.570840265112214,
      0.618512166586904,
      0.574297797009769,
      0.554476032252134,
      0.537564137161553,
      0.517507182679399,
      0.544929199142657,
      0.519432377012664,
      0.559311769092668,
      0.582440266139964,
      0.611923405122022,
      0.616541303289789,
      0.493763375582877,
      0.612814231970199,
      0.650946584330566,
      0.641478313200664,
      0.566051178766299,
      0.589272542711643,
      0.499082085298365,
      0.608590539459496,
      0.375683970321715,
      0.695833242664739,
      0.628561242398773,
      0.567181150444446,
      0.512478786347955,
      0.629196196897804,
      0.477949018293448,
      0.59305670520173,
      0.66980402431341,
      0.797489034865234,
      0.628581788526866,
      0.613653184804525,
      0.593997515253892,
      0.678319200446006,
      0.486027889425921,
      0.473274836157319,
      0.666065684094717,
      0.684198151149263,
      0.63067856359167,
      0.658793087711575,
      0.488033010643595,
      0.579986963230817,
      0.550720496038628,
      0.50119988949121,
      0.739149187814504,
      0.624653529377528,
      0.554170073967456,
      0.572018880559404,
      0.475659195369956,
      0.485157316974337,
      0.618669087736996,
      0.500965893005825,
      0.663029547258626,
      0.521805048644767,
      0.490102939302036,
      0.623507788483454,
      0.618507784476132,
      0.498276100540397,
      0.423406769232079,
      0.531725393529088,
      0.518029661704683,
      0.599398718579312,
      0.449663311653145,
      0.519420043414871,
      0.484786265228653,
      0.351640636659702,
      0.50924863901527,
      0.745238013931308,
      0.586224118744926,
      0.516680326705677,
      0.528158787961539,
      0.483461767157678,
      0.447242853537905,
      0.45101964399999,
      0.652685047364622,
      0.503454800411489,
      0.325921965626036,
      0.44401058272974,
      0.398304601189588,
      0.527415351767289,
      0.470699711127771,
      0.503348427105944,
      0.499839706940365,
      0.46200768276065,
      0.765511937452301,
      0.487567962235369,
      0.451398112736193,
      0.498549015645933,
      0.579678434022276,
      0.579238942374502,
      0.606634411218066,
      0.503506926154136,
      0.532263677369418,
      0.57417114459254,
      0.471663367672473,
      0.411584534931359,
      0.480356460493791,
      0.744849731697227,
      0.667194329565901,
      0.482755594653589,
      0.629467057392757,
      0.693220499437353,
      0.49886347992458,
      0.470139401630746,
      0.413214004310895,
      0.593165509383238,
      0.720990073735495,
      0.372488713731698,
      0.598235167004817,
      0.476736876720775,
      0.389275136661526,
      0.4938130895618,
      0.787839920661898,
      0.624700160640487,
      0.544127448315618,
      0.493661680552626,
      0.53371534160547,
      0.748639343942602,
      0.501316135303333,
      0.713190334140223,
      0.81807483446596,
      0.632369786402001,
      0.729861182326178,
      0.517207417653822,
      0.760491950828832,
      0.563160208257601,
      0.461100909278381,
      0.460971226880984,
      0.801579184662263,
      0.585559017219647,
      0.523222377197396,
      0.499464286012513,
      0.674404971942373,
      0.468339735292249,
      0.764191937056884,
      0.482658077935556,
      0.772123142164883,
      0.494072908089699,
      0.662278518432891,
      0.509863751947268,
      0.680459946692598,
      0.486925210581051,
      0.738378451883848,
      0.819489702953931,
      0.611511499728159,
      0.565569643376996,
      0.58176175262656,
      0.64615114062076,
      0.599996703518524,
      0.523272048889643,
      0.425540507334498,
      0.746204827734551,
      0.859129578808831,
      0.5329521945059,
      0.579149731472854,
      0.721653014105019,
      0.434829378049718,
      0.537583125518027,
      0.512455682439243,
      0.536936868397552,
      0.613268552749057,
      0.499032332853644,
      0.569332104730514,
      0.60443427508369,
      0.560275416668402,
      0.525643213536985,
      0.547848672350181,
      0.481184636745129,
      0.591906409799436,
      0.586214543875689,
      0.641171525767029,
      0.511159765102511,
      0.538127460203509,
      0.733077325540374,
      0.633404219715406,
      0.502242198269406,
      0.428190037299832,
      0.526678237984576,
      0.601292969527595,
      0.623670955354134,
      0.579304421687664,
      0.558810778128246,
      0.46557617965393,
      0.614664722845862,
      0.573506525315504,
      0.507986733031331,
      0.519630947145637,
      0.484228342632154,
      0.658053181900332,
      0.506229429490114,
      0.509138578880654,
      0.486175675365769,
      0.598056666379848,
      0.486163307851553,
      0.461616971024128,
      0.632364015698287,
      0.690819265100679,
      0.693727797212165,
      0.570069131857201,
      0.641967983829721,
      0.545243028310827,
      0.49261575284014,
      0.485057042428488,
      0.566646069104314,
      0.592084455378689,
      0.584678462257804,
      0.518389224898894,
      0.582644558224895,
      0.539942719854083,
      0.651347062965052,
      0.595859913031872,
      0.673288622291905,
      0.569835825263042,
      0.611332196725285,
      0.614337777529275,
      0.504988436367442,
      0.445730799259246,
      0.50948874758401,
      0.548291432497315,
      0.6606318228827,
      0.602367347581485,
      0.549430467978408,
      0.617489912136215,
      0.586954730301131,
      0.542465039907109,
      0.470114527394496,
      0.499147434225524,
      0.57989366236982,
      0.61463574086551,
      0.523284998217671,
      0.523778717211551,
      0.558688369111853,
      0.425330899760976,
      0.478934341147763,
      0.557254884733176,
      0.641055329433376,
      0.539305930571101,
      0.477144737647579,
      0.522196771022506,
      0.403275038944484,
      0.433501676799442,
      0.335767940680977,
      0.575075267172567,
      0.515123937619643,
      0.359568777957204,
      0.532929361040059,
      0.517132568365704,
      0.513031705280826,
      0.395445284943817,
      0.535033399318885,
      0.563701245464965,
      0.605721389691821,
      0.564134860688572,
      0.658107157407296,
      0.66992228294154,
      0.658291422882494,
      0.459264660384603,
      0.561511508756,
      0.555751199276135,
      0.538587268383684,
      0.495755504052929,
      0.555598574083205,
      0.675130768017275,
      0.414227716368734,
      0.590096529509784,
      0.692122532460781,
      0.578712420360267,
      0.700077584944383,
      0.669149502361268,
      0.560640843173381,
      0.51674224281767,
      0.516569779870768,
      0.586620517766884,
      0.541647536002865,
      0.610648032137054,
      0.478513695132489,
      0.543924421620812,
      0.431829614949638,
      0.353037990756285,
      0.799734585748832,
      0.487626115328697,
      0.50762423297214,
      0.594186641309844,
      0.593346887027981,
      0.457369195115525,
      0.547791009750575,
      0.532626233691147,
      0.686725488516815,
      0.532126849599603,
      0.441546931866033,
      0.540986276820377,
      0.606872827779093,
      0.517192848720471,
      0.49612592424321,
      0.62921775741675,
      0.569927408824685,
      0.626324292510989,
      0.615369103128798,
      0.586837302002282,
      0.443208107688095,
      0.476603304332055,
      0.497064511911091,
      0.607322310461944,
      0.55323157594981,
      0.561086435713124,
      0.469209851277713,
      0.604752302924323,
      0.562883629166695,
      0.651673011421933,
      0.626590504751721,
      0.747360571958363,
      0.588247228083086,
      0.621936050547759,
      0.614986283133538,
      0.441157905045944,
      0.538374065593707,
      0.469323672715474,
      0.459329583445329,
      0.539566087742794,
      0.558118294040946,
      0.594298839607476,
      0.625707218426628,
      0.581338167334479,
      0.519577987005915,
      0.603374506593627,
      0.683381796471356,
      0.637731138649526,
      0.576029261471723,
      0.58662145119813,
      0.512150679007799,
      0.648248818845963,
      0.320733589862748,
      0.655931126311314,
      0.610860933627312,
      0.534370954080942,
      0.562239729447718,
      0.605872939357654,
      0.469455474449244,
      0.461104631294336,
      0.384804212505465,
      0.299415436928402,
      0.313400937307139,
      0.44985164648749,
      0.396729666545912,
      0.467885467665725,
      0.375549287218664,
      0.485540939846513,
      0.346878121258311,
      0.418017025195477,
      0.487386142087283,
      0.388319351513032,
      0.364531117599971,
      0.337956197451726,
      0.392013857544468,
      0.507390010115409,
      0,
      0,
      0.512869086089844,
      0.496112810544608,
      0.597497114087743,
      0.54847251987649,
      0.4882423631289,
      0.552261345119171,
      0.546501326738323,
      0.551075687442547,
      0.469076471761513,
      0.578398950588315,
      0.519671700200957,
      0.616089033712472,
      0.590449512885749,
      0.639214390605504,
      0.318370964783272,
      0.416528434434154,
      0.369072009752502,
      0.493613695326535,
      0.291480477962945,
      0.364046007036985,
      0.524737864825582,
      0.310829129897697,
      0.432125086889491,
      0.254273161875363,
      0.431884734060053,
      0.47063859467619,
      0.458434924467929,
      0.6154519242882,
      0.603151425307198,
      0.474343559888082,
      0.507839963637545,
      0.508422190560795,
      0.521224979744983,
      0.535044971088205,
      0.477269496934004,
      0.672170605911995,
      0.441193891992937,
      0.540555848042155,
      0.37216107989254,
      0.582418553256652,
      0.50470761454124,
      0.470149645995281,
      0.583733597385519,
      0.522615111746239,
      0.532805985114217,
      0.46208749246163,
      0.558360551961075,
      0.482102803892033,
      0.52550487603059,
      0.600308513774797,
      0.661783799388396,
      0.6362445387888,
      0.368853710053725,
      0.505841616463946,
      0.488038944291982,
      0.487922709429078,
      0.45343310408796,
      0.427630497413044,
      0.528402436914776,
      0.456813679075245,
      0.457261299376472,
      0.462850677320194,
      0.454391744770584,
      0.557430712437467,
      0.466069081260122,
      0.449629490047177,
      0.44047151487144,
      0.652333681994318,
      0.602428498192621,
      0.457441067527258,
      0.527514465056043,
      0.495706689878613,
      0.656382069180421,
      0.534036099844014,
      0.486120337345231,
      0.468590576270543,
      0.375479071968798,
      0.636246739949529,
      0.549004241376857,
      0.344349452508943,
      0.503712455845095,
      0.536433053682873,
      0.319980901180732,
      0.478059541442854,
      0.521252390162105,
      0.629087960315271,
      0.566048381250271,
      0.562603098263048,
      0.63344959287445,
      0.471166598869074,
      0.719501101875389,
      0.516862032966403,
      0.567492632113301,
      0.565111530910107,
      0.511790974063136,
      0.539691073888983,
      0.618704098238689,
      0.530076722369612,
      0.622358149070651,
      0.557544172796135,
      0.675569458597549,
      0.630583490103114,
      0.550154522564279,
      0.458197846774134,
      0.569721414522293,
      0.584423878335295,
      0.505995956619015,
      0.488721579070061,
      0.688301681307897,
      0.438341472586092,
      0.454371330874223,
      0.720257565169365,
      0.583418571078717,
      0.711223365106573,
      0.570166703578554,
      0.586471612254945,
      0.55346047688271,
      0.441271606283005,
      0.502873993780511,
      0.490842356078383,
      0.365659587386756,
      0.435526017745616,
      0.556404923885999,
      0.63042503147319,
      0.427064911721749,
      0.497754744267988,
      0.586898726584002,
      0.46967867098744,
      0.461159076631379,
      0.499378286110683,
      0.638729351714793,
      0.489594159474329,
      0.500986080419294,
      0.780817628363369,
      0.749119202452329,
      0.482065612059648,
      0.478025664108836,
      0.509281631736813,
      0.682737377684227,
      0.490358521718163,
      0.563911201837855,
      0.600920311178682,
      0.644467827664742,
      0.612212078177129,
      0.601858352589366,
      0.564033953791571,
      0.535020570563502,
      0.556679881554132,
      0.466519143154471,
      0.424648289429151,
      0.563681242896673,
      0.537484668109991,
      0.738345232006672,
      0.673153808264095,
      0.699599521993673,
      0.484150866457973,
      0.5458169881009,
      0.524591731769926,
      0.667767439239969,
      0.57731977961234,
      0.586645242231558,
      0.525488397025653,
      0.545536332802628,
      0.421147810243819,
      0.645982542129438,
      0.65339831311821,
      0.644306749765381,
      0.510521466058552,
      0.68425926811283,
      0.554641796228606,
      0.55116793670351,
      0.460403347482548,
      0.801920779726438,
      0.635013774573287,
      0.587403076244686,
      0.584124506640951,
      0.596626070599846,
      0.573302513337474,
      0.434666791871819,
      0.619389644335132,
      0.650632747187003,
      0.640760147398807,
      0.634090216334426,
      0.512940619858374,
      0.553205484174402,
      0.56249408473416,
      0.546325005169855,
      0.719844858311511,
      0.629396160075875,
      0.567121348425035,
      0.51410202477099,
      0.402759866614345,
      0.441124652513443,
      0.535804763191005,
      0.571183577360735,
      0.534068292255073,
      0.597305821258732,
      0.542060434879481,
      0.469226267832939,
      0.547077348574323,
      0.520604994856889,
      0.491951875360321,
      0.448612290639059,
      0.490451872376156,
      0.537519602179367,
      0.431613428799243,
      0.488047631459924,
      0.523172500695972,
      0.303663817793107,
      0.509531264667297,
      0.667247603046693,
      0.578496443299563,
      0.409689297479843,
      0.41030206680391,
      0.523600947408395,
      0.464469212353931,
      0.39370840307665,
      0.571583950172042,
      0.548532547266097,
      0.343008750568364,
      0.415329807356591,
      0.457264804828503,
      0.461802945234039,
      0.400617371703534,
      0.45167099079778,
      0.413475580133793,
      0.503378829498569,
      0.48955225766899,
      0.554737425479952,
      0.522534422667416,
      0.490397331384271,
      0.500837445489372,
      0.577710180345105,
      0.617380570829424,
      0.395499320460741,
      0.460180034630503,
      0.463718357552887,
      0.538275100179864,
      0.511228812409345,
      0.436094414314162,
      0.680108844908782,
      0.521205097841975,
      0.502620990731676,
      0.660166741944988,
      0.656286564952047,
      0.47927459800008,
      0.43967108679928,
      0.44485944142499,
      0.518456702759519,
      0.670016640245368,
      0.435268837112747,
      0.564264918406855,
      0.519309691995082,
      0.357577276762571,
      0.432928600508895,
      0.599401037461397,
      0.622414730175203,
      0.367564337922218,
      0.457543404278199,
      0.516398470062582,
      0.692674586716818,
      0.430531611174451,
      0.479784103362364,
      0.724855036364688,
      0.633117535579866,
      0.699997113505206,
      0.665521112511477,
      0.661363762274766,
      0.474233903076799,
      0.495993650921856,
      0.591164025177048,
      0.700336760309739,
      0.490809927380925,
      0.472220484065142,
      0.512579042031572,
      0.663803871477933,
      0.455363753690356,
      0.621745352663388,
      0.516575577626718,
      0.773720252098957,
      0.430334158611143,
      0.579873048377207,
      0.530682289537906,
      0.592891204420314,
      0.404775290717089,
      0.681317418629905,
      0.581189019393245,
      0.48598496293624,
      0.697578449249779,
      0.570704703951027,
      0.596472466132732,
      0.408315131853285,
      0.474133167551397,
      0.490361902125308,
      0.603260187790574,
      0.780042725710196,
      0.576265728088775,
      0.51133834829974,
      0.679868850668216,
      0.459818612597144,
      0.481552170955022,
      0.491393376420343,
      0.523715413789337,
      0.507744916055626,
      0.41435429305409,
      0.431700283441516,
      0.481935812120256,
      0.477439651172984,
      0.519639156242879,
      0.538469246667727,
      0.489030506713437,
      0.647551759412976,
      0.535207262258244,
      0.547991055114782,
      0.578948315879724,
      0.507354560006982,
      0.708054375401596,
      0.51712904779931,
      0.535451993339747,
      0.465956994973547,
      0.530757689085123,
      0.566039364840325,
      0.594002754298353,
      0.487909257093069,
      0.6591357928816,
      0.53437041904714,
      0.54960884335713,
      0.46909516146716,
      0.5268428977467,
      0.504191241750571,
      0.484489336371022,
      0.615660841067663,
      0.486521406322571,
      0.462794956001314,
      0.529576715670287,
      0.517216736758241,
      0.525847233080002,
      0.537929505564939,
      0.686322429817602,
      0.675707612842522,
      0.648840262821426,
      0.529987577911247,
      0.626895224746983,
      0.611689139225678,
      0.486652068053517,
      0.522973849201223,
      0.541619763501603,
      0.53605010475507,
      0.625130218052158,
      0.452101126854491,
      0.658878393134015,
      0.592047508980072,
      0.752649790094953,
      0.605558895664778,
      0.595934412906025,
      0.501072674776945,
      0.63354449602428,
      0.610817097141772,
      0.51520195648074,
      0.472513456412035,
      0.537806393242966,
      0.534852750967846,
      0.627514936258409,
      0.654409906773698,
      0.6709513291895,
      0.648364093788413,
      0.65633528158118,
      0.513701085408917,
      0.464389148289487,
      0.473592311052932,
      0.515894637004713,
      0.558711272549278,
      0.555743024634704,
      0.563594425305248,
      0.545333263087259,
      0.473904122746687,
      0.462861795063677,
      0.566818311003173,
      0.640640055138662,
      0.639201072648865,
      0.537689570266203,
      0.552253347812951,
      0.416542466327429,
      0.464024327753883,
      0.38003011224565,
      0.521852587466798,
      0.476683694001364,
      0.324409815605346,
      0.454963679396095,
      0.495198681011488,
      0.435482713695429,
      0.434514036163482,
      0.475337671629853,
      0.550199184424473,
      0.463119458191772,
      0.586734490039901,
      0.726936979091838,
      0.629230898212165,
      0.639360975908146,
      0.435845338408791,
      0.484402640947053,
      0.579866590018136,
      0.561258922338062,
      0.394582811151302,
      0.538745009155844,
      0.735947456182947,
      0.429935960345007,
      0.619817387979955,
      0.722165570603264,
      0.63062795370306,
      0.519888954564445,
      0.442447514071834,
      0.543996207564558,
      0.540665968218004,
      0.494847844152401,
      0.720718531542342,
      0.546728032525957,
      0.509744243880549,
      0.414137789949613,
      0.531464164000559,
      0.37862970629243,
      0.297095698707657,
      0.7599415333838,
      0.490939555358394,
      0.565747956983987,
      0.482792726085107,
      0.489871834822047,
      0.540269013437649,
      0.58306782522866,
      0.534895066278312,
      0.58858442346344,
      0.557265153047918,
      0.474856858823694,
      0.578199350276041,
      0.547478595090248,
      0.578387636428994,
      0.536879980837356,
      0.673578674951911,
      0.553121484736432,
      0.609020588436957,
      0.518814119685651,
      0.593306235639428,
      0.516132362950948,
      0.48288132751004,
      0.462601185495211,
      0.549444156768881,
      0.551936503716985,
      0.567080657696383,
      0.426055540158435,
      0.583802951621499,
      0.537069837660317,
      0.735671441752991,
      0.637374736582088,
      0.611619539523935,
      0.590898267479882,
      0.617333469553312,
      0.592960823679964,
      0.49075883511625,
      0.544368209808482,
      0.460250736985118,
      0.38883220920942,
      0.594217397843876,
      0.57621703488229,
      0.761021692706479,
      0.706824372228709,
      0.644325516335508,
      0.532450155534555,
      0.510855085043918,
      0.556558970465129,
      0.669199586255366,
      0.575495544078518,
      0.58460440682527,
      0.559901359910781,
      0.542463886997554,
      0.39893650254835,
      0.593090584324337,
      0.603950731065061,
      0.586680796582287,
      0.530820921576572,
      0.662242988276522,
      0.502189419558973,
      0.45924920803601,
      0.366623675024869,
      0.375989722154005,
      0.27675935351037,
      0.471469276738993,
      0.434278394319731,
      0.430656460258427,
      0.35090711437529,
      0.460884583913277,
      0.331059352680996,
      0.388754663702099,
      0.4613823069429,
      0.419853640211426,
      0.420770399871532,
      0.433677223094414,
      0.440848177903468,
      0.543590941912487,
      0,
      0,
      0.469160708749561,
      0.49312554736085,
      0.529843814382417,
      0.454479367239715,
      0.491783386874665,
      0.544937178764044,
      0.463733072529891,
      0.451050313176033,
      0.491738638992376,
      0.572765546117387,
      0.434730681423842,
      0.596973018581367,
      0.608384680261725,
      0.580024697921802,
      0.283206467746148,
      0.353865458824946,
      0.255923829548406,
      0.487890428265968,
      0.292830052320661,
      0.392102063873359,
      0.491691329281429,
      0.316936792054341,
      0.371555249592733,
      0.238777044803751,
      0.419705313497003,
      0.415896521083918,
      0.528166702421984,
      0.653747795421968,
      0.624273985274872,
      0.417646229196124,
      0.45404513640533,
      0.445884628604055,
      0.455128317324644,
      0.440557977671362,
      0.443372966203343,
      0.624114302198113,
      0.451962139875639,
      0.47377549453794,
      0.339776187737714,
      0.5483238899019,
      0.493176760084413,
      0.423908290283711,
      0.536802062981939,
      0.469962841137712,
      0.506756480648733,
      0.448527284300753,
      0.567026553079254,
      0.456993065338586,
      0.729218115656136,
      0.570456359392604,
      0.573472345937153,
      0.581638800995413,
      0.399513718721301,
      0.511676854612653,
      0.48776397173253,
      0.454819296471483,
      0.412782985236049,
      0.332703749662127,
      0.513520418344725,
      0.440707216654555,
      0.409125598330396,
      0.38749954528666,
      0.426689000356708,
      0.446658521818341,
      0.307273793170004,
      0.432959149572515,
      0.523095740844596,
      0.639199502899758,
      0.585090971479794,
      0.496650108663924,
      0.518152026875503,
      0.435319551274119,
      0.570581077417474,
      0.543741532368635,
      0.399510323128623,
      0.439305234285673,
      0.399602178202628,
      0.724199362106296,
      0.481040397286354,
      0.403589819716831,
      0.453399198897388,
      0.418919519700118,
      0.216572118640421,
      0.458866645006893,
      0.495205818874425,
      0.523730953240223,
      0.546219671545671,
      0.419989903717578,
      0.624069282976451,
      0.394097319136631,
      0.55031305895454,
      0.492879467196921,
      0.433988691972446,
      0.45931695070437,
      0.453625678700269,
      0.561555860197183,
      0.583575745464029,
      0.643257547642678,
      0.578381551861394,
      0.495759929077643,
      0.518156248777712,
      0.825458031788488,
      0.469670702906222,
      0.417804281328372,
      0.645640354379837,
      0.566131116498484,
      0.525963532224452,
      0.53187588494176,
      0.701906032347662,
      0.401877259761273,
      0.389520745749744,
      0.473160179681144,
      0.467571264447,
      0.526877141817949,
      0.588401254572426,
      0.472265049323121,
      0.497903175771545,
      0.338879615105136,
      0.473375172296469,
      0.573244654750796,
      0.412934961004853,
      0.536088444743638,
      0.522465250531029,
      0.507116714409439,
      0.441463489728567,
      0.447518908237715,
      0.593498273163917,
      0.406597178498286,
      0.466642506968416,
      0.543530538715658,
      0.573039483335724,
      0.425433214608927,
      0.44152021454946,
      0.783368295504009,
      0.813971050398056,
      0.437001541806256,
      0.434524682689682,
      0.477742206353753,
      0.57907272370992,
      0.450317493707292,
      0.4094758135348,
      0.631359923495223,
      0.483035681508823,
      0.574497445703907,
      0.630981182439506,
      0.532464166406657,
      0.535576369109588,
      0.502141334107582,
      0.538587806981186,
      0.459767067535379,
      0.602314017755545,
      0.496058288523383,
      0.705679763285646,
      0.640669058499966,
      0.712061960664976,
      0.439401685983447,
      0.511473256350617,
      0.56717583746279,
      0.672163861761796,
      0.619560778549981,
      0.531838973678453,
      0.549508588984001,
      0.528117326382639,
      0.379287432950035,
      0.499206336790875,
      0.686893944941581,
      0.604265109072765,
      0.49221343802302,
      0.718170395912468,
      0.513874108327821,
      0.53170525982249,
      0.516536175768434,
      0.741366534576031,
      0.661275388564378,
      0.617042500973957,
      0.546890241269941,
      0.544739743146501,
      0.467016951277169,
      0.434830586028995,
      0.60376499430862,
      0.547597509579054,
      0.580232778836007,
      0.650630931291911,
      0.519459010135555,
      0.584193791888697,
      0.533481272918353,
      0.545446499705178,
      0.632032048756477,
      0.665844326936103,
      0.612029935276427,
      0.493528416502604,
      0.384473413287417,
      0.449323566978276,
      0.587506569954264,
      0.627750650273268,
      0.520851710893713,
      0.591505537524698,
      0.528010030055639,
      0.462250582795975,
      0.536921668539935,
      0.618004375393263,
      0.481133652109944,
      0.475202938533577,
      0.526625487544262,
      0.516307840841943,
      0.419703504123511,
      0.530172572985139,
      0.50066882707612,
      0.281434524223603,
      0.517392323121857,
      0.623672466568971,
      0.541921900443994,
      0.383056660254397,
      0.385476263311682,
      0.552166280254967,
      0.458757765680169,
      0.391800392256858,
      0.555155455923024,
      0.566613297951774,
      0.342876335756821,
      0.387763108920286,
      0.48292094816475,
      0.373170530042699,
      0.451747805102439,
      0.417108724434752,
      0.412088681214463,
      0.42458093843793,
      0.400016220473756,
      0.75273950945004,
      0.512311621106374,
      0.404272467173351,
      0.471706222585859,
      0.518828293881442,
      0.565289628736209,
      0.399426542181893,
      0.43757339571591,
      0.471193889076405,
      0.515936752060608,
      0.517703830284032,
      0.444419743123008,
      0.62268221022871,
      0.452976128091904,
      0.490109545088446,
      0.673168195757016,
      0.590292021261031,
      0.474740092716279,
      0.470092206663835,
      0.458842931308478,
      0.511748531053205,
      0.617055193465909,
      0.445901121614626,
      0.547884134521263,
      0.480144186213276,
      0.298421559451818,
      0.462666091308593,
      0.455102418610938,
      0.642535695542412,
      0.319359704717572,
      0.422603333036235,
      0.421543251627889,
      0.562824194197805,
      0.402277563911663,
      0.456393994862582,
      0.611100646284076,
      0.57850228499479,
      0.696109540273832,
      0.638755270409527,
      0.596124813469005,
      0.505868154074351,
      0.484024858120099,
      0.670265467448963,
      0.63350515991551,
      0.43079108580264,
      0.470954498030504,
      0.584405135821042,
      0.660179227137896,
      0.400178943214432,
      0.490602235113288,
      0.566527204446092,
      0.668460659949391,
      0.399844879709248,
      0.430721719605345,
      0.55547530551729,
      0.53182059725617,
      0.409518568119631,
      0.548905791734474,
      0.447705608085124,
      0.436214551407117,
      0.621873752168447,
      0.526154345745427,
      0.51587301969399,
      0.385004952293489,
      0.389150893033118,
      0.459735110185773,
      0.543308987621309,
      0.510063972860319,
      0.563111547956461,
      0.487663783836073,
      0.516583161617837,
      0.656777787299875,
      0.480030475960959,
      0.467178270042006,
      0.512511791983024,
      0.494596664972503,
      0.396586724364095,
      0.351599534532457,
      0.490770277499399,
      0.49225064800013,
      0.510470016983723,
      0.649438577051224,
      0.465340162091235,
      0.687717224751373,
      0.531211212554511,
      0.531848185576354,
      0.563622957942013,
      0.539421975663544,
      0.616991608794988,
      0.440857528651208,
      0.521420019714844,
      0.44140853826282,
      0.52636512135629,
      0.547383170551536,
      0.450854875071657,
      0.45234714734941,
      0.688079896703337,
      0.596799487477721,
      0.51571711867652,
      0.488418876223416,
      0.550584314531769,
      0.476770061167325,
      0.491935921522552,
      0.522954569317821,
      0.481907646720578,
      0.450943536495188,
      0.538670481363694,
      0.454720294635091,
      0.524092557230827,
      0.487520133415274,
      0.673390188353361,
      0.667169077654194,
      0.531868708985241,
      0.481671804642966,
      0.588855467760775,
      0.563781122525798,
      0.496897796565678,
      0.528281368727972,
      0.553827672386304,
      0.433329365597048,
      0.62967621901612,
      0.380574746651264,
      0.611084184439538,
      0.564957371916255,
      0.731924729720883,
      0.585730376382088,
      0.591349029723748,
      0.566302043130777,
      0.672412767071618,
      0.595746124835979,
      0.504023715442052,
      0.466338057759371,
      0.534669149209313,
      0.533717949627099,
      0.595362625482939,
      0.703416073910881,
      0.673178054263737,
      0.619172990383609,
      0.715623173691517,
      0.472713688683582,
      0.423602866177979,
      0.477540784502243,
      0.489681811656595,
      0.537699832100893,
      0.655153844754184,
      0.53500033579984,
      0.661068044414346,
      0.502679741909528,
      0.472764804419508,
      0.553804631996613,
      0.664911299492461,
      0.618323656347328,
      0.592955960592096,
      0.508019331616412,
      0.42836742817035,
      0.46510429678189,
      0.403672563126747,
      0.551269785920677,
      0.496035862252317,
      0.278397558406645,
      0.355107699608119,
      0.527434400081479,
      0.479303313552509,
      0.360369573213364,
      0.544777305080265,
      0.421972227819075,
      0.420592729355944,
      0.710528599647191,
      0.738341034866567,
      0.432804505687964,
      0.65604728625597,
      0.484228273151192,
      0.44176410315533,
      0.53687239639567,
      0.534282661410297,
      0.423758744585407,
      0.486779070606398,
      0.695909200445135,
      0.392974709480426,
      0.570208548728203,
      0.758496864945137,
      0.532485193948475,
      0.463446892797741,
      0.427838382469433,
      0.702480437107151,
      0.564926982539086,
      0.51240280844983,
      0.707346856690128,
      0.516044119015768,
      0.373111876470637,
      0.410704254637661,
      0.611716872726397,
      0.413740951937036,
      0.413389002122065,
      0.619701550847127,
      0.427529288568095,
      0.639768101024971,
      0.413096545091353,
      0.396491218347015,
      0.469909516162125,
      0.540497384149269,
      0.49425746885855,
      0.479231376657,
      0.566998302380683,
      0.497361254415356,
      0.573681876088739,
      0.507631588698177,
      0.539763931210176,
      0.515896717636405,
      0.669510379778372,
      0.597189313780819,
      0.479050422827548,
      0.47955213564781,
      0.54554876511277,
      0.483943722605143,
      0.493867238883272,
      0.536120117753286,
      0.539469306903914,
      0.444088381151162,
      0.537730422150401,
      0.423310244376948,
      0.548851351069814,
      0.478603147584656,
      0.718450707560005,
      0.630720075450519,
      0.53649035148508,
      0.526641508423249,
      0.648869915751812,
      0.530950629514874,
      0.51398804742797,
      0.50095939774972,
      0.511783543087169,
      0.46131135176333,
      0.634124325599572,
      0.605981146409826,
      0.734058803368618,
      0.681323871108271,
      0.722733240939941,
      0.461674857436726,
      0.529169572521509,
      0.536682287733939,
      0.711247727474843,
      0.607908563878984,
      0.582567752595801,
      0.552415164338871,
      0.496685337386179,
      0.401136637591085,
      0.522015647994182,
      0.625808603388845,
      0.541117929213429,
      0.502127210849128,
      0.678345658592864,
      0.523387876466407,
      0.468749477322945,
      0.404200073051012,
      0.383897789790063,
      0.300145066394922,
      0.431574699274703,
      0.43599352197188,
      0.413800325244607,
      0.360266072170686,
      0.470612546501403,
      0.312076702475576,
      0.383263381240698,
      0.449050182273563,
      0.4482809926938,
      0.453059986395476,
      0.472541241135214,
      0.458758980944666,
      0.557482478213905,
      0,
      0,
      0.608415296637667,
      0.646444495190632,
      0.577458424142309,
      0.456347195773644,
      0.552871890417753,
      0.542718038834314,
      0.570066551697212,
      0.580941171686046,
      0.590922178828998,
      0.594728284997003,
      0.445990629522709,
      0.536373799233434,
      0.469057145602403,
      0.45237414779311,
      0.363878286279017,
      0.485792628607334,
      0.403951491910197,
      0.417968262675037,
      0.350179120687858,
      0.399043400114879,
      0.513585616622427,
      0.382895342590867,
      0.46375705723398,
      0.449595944162446,
      0.362994638781609,
      0.403722937907878,
      0.483981691947162,
      0.655090734611063,
      0.641492582831769,
      0.54611771429498,
      0.449929061162906,
      0.49696085939769,
      0.550289678509975,
      0.459426231741821,
      0.442417660872342,
      0.586289650403304,
      0.564498949726301,
      0.518982835215358,
      0.508700648601359,
      0.551490552674764,
      0.551981722901397,
      0.454056996660982,
      0.475463594487562,
      0.504719483449037,
      0.527820763696765,
      0.429266417871195,
      0.520818768623931,
      0.452321306523894,
      0.795933644823458,
      0.544838075437516,
      0.558627349604705,
      0.556554237415301,
      0.432395301503258,
      0.527912462711513,
      0.422513910132407,
      0.390942751264986,
      0.525732067747995,
      0.458918104953077,
      0.487734811797877,
      0.464056315715444,
      0.501624639246192,
      0.495403930210794,
      0.503725936613117,
      0.437326180479967,
      0.396265638113991,
      0.441913723405042,
      0.560371781045461,
      0.467540229041523,
      0.438051412534519,
      0.506170500083295,
      0.589291654237923,
      0.411795703702664,
      0.561305696216173,
      0.617104501985952,
      0.493627671488683,
      0.444217647962199,
      0.675977655531782,
      0.711710410402376,
      0.433875200589197,
      0.395597440646052,
      0.449624122445721,
      0.467507889086646,
      0.331961560436845,
      0.503947523775429,
      0.465019777650859,
      0.446810839529378,
      0.517836094917888,
      0.490075003580929,
      0.579309526290004,
      0.481049206617458,
      0.642593690622166,
      0.490721174888951,
      0.59878204653105,
      0.467731719708123,
      0.446229062445867,
      0.569871003082593,
      0.493281083497165,
      0.774323947981034,
      0.536810533263311,
      0.47456223786918,
      0.43100661624915,
      0.837463464509081,
      0.520980790448966,
      0.376131366615104,
      0.805834974150139,
      0.571779182788011,
      0.501008587974771,
      0.592942584971533,
      0.678574367787271,
      0.347567025096146,
      0.351803576739984,
      0.487807146188423,
      0.463332114872499,
      0.497112414991259,
      0.604184323909874,
      0.526932158521131,
      0.521207444426686,
      0.376517222895244,
      0.561099736215831,
      0.530718053033478,
      0.471908243698496,
      0.606862075427679,
      0.584700514532521,
      0.452662640628525,
      0.464010901210262,
      0.423085338390479,
      0.483574821820161,
      0.4672853566722,
      0.468047967790093,
      0.793788754532245,
      0.578409228676678,
      0.452444606211568,
      0.467702047705221,
      0.599439524279637,
      0.839424746113527,
      0.516398254872579,
      0.458292214823522,
      0.439511488748949,
      0.474793053960743,
      0.45911743727903,
      0.413112624422476,
      0.626166785427224,
      0.625057364415229,
      0.597651014126364,
      0.609065809730632,
      0.584698386551492,
      0.552274001407094,
      0.486045289882412,
      0.505107616929737,
      0.67297952122574,
      0.591944343571934,
      0.437992710724106,
      0.551770425831393,
      0.591551950113105,
      0.700338399152686,
      0.438609694228677,
      0.602570921517791,
      0.561182020432668,
      0.628708092239283,
      0.542247072748882,
      0.523533191990025,
      0.485013758532982,
      0.510610223823581,
      0.479658981885698,
      0.59374740972631,
      0.668012202741537,
      0.495939475401366,
      0.547848818478135,
      0.669552649441076,
      0.527917782622491,
      0.631563566322601,
      0.538909214170528,
      0.713517459531127,
      0.591798954988744,
      0.583937235676019,
      0.546119988289534,
      0.519539229817102,
      0.433281983246918,
      0.454801355313168,
      0.575040645961718,
      0.510917813107182,
      0.511785683667601,
      0.636028125349532,
      0.497064917943256,
      0.63677273216338,
      0.583804361847064,
      0.618150814025898,
      0.619626450688405,
      0.636286692657618,
      0.592701984683932,
      0.542732366457501,
      0.377912384396924,
      0.520023514296426,
      0.576545042124969,
      0.613221073025544,
      0.573261268758829,
      0.580736270003618,
      0.527426963569504,
      0.528263236258445,
      0.584046131078802,
      0.798842789725983,
      0.599915342425693,
      0.53656606240407,
      0.484302938985349,
      0.539792570167515,
      0.576001706276144,
      0.527971026094428,
      0.532604940399509,
      0.334824676107944,
      0.411611680025859,
      0.542728572647885,
      0.504262527830988,
      0.442526498696318,
      0.482642087167041,
      0.556976881730901,
      0.514635408163538,
      0.426777427945824,
      0.525733594171885,
      0.589749148270476,
      0.400762420561546,
      0.494224617581989,
      0.363619189450982,
      0.479803863402964,
      0.398790511461586,
      0.438360430676853,
      0.489443716926458,
      0.532311332532038,
      0.480005966052634,
      0.825003254095152,
      0.563724285919711,
      0.372305744572848,
      0.473037115087025,
      0.582773770846303,
      0.500577878457597,
      0.497023600157936,
      0.511339969750423,
      0.518220293032881,
      0.502321147138247,
      0.466588351550447,
      0.405509814341342,
      0.627727622918061,
      0.482633943316431,
      0.557901720439438,
      0.728531823951557,
      0.590157548271973,
      0.48632223366543,
      0.516684401400748,
      0.482293192749562,
      0.558412437123324,
      0.566240864165332,
      0.479932060962465,
      0.496980084343899,
      0.513881411062079,
      0.336508052927637,
      0.53224679701371,
      0.508907570931003,
      0.70104341971494,
      0.4684680212171,
      0.492764762004666,
      0.546554906960909,
      0.515572037502668,
      0.47576225462918,
      0.519713167636707,
      0.569941991239074,
      0.627928569136889,
      0.651315686633728,
      0.487472209266223,
      0.581773255899648,
      0.534243880497781,
      0.50724089485376,
      0.559305669265257,
      0.597261671963296,
      0.46604723246126,
      0.435023244143978,
      0.711953868011416,
      0.678714097492464,
      0.491183177521122,
      0.472512475770867,
      0.58660269950391,
      0.58670463637225,
      0.371695807188044,
      0.524680464962788,
      0.558920950565836,
      0.506815488738814,
      0.488514458340403,
      0.497326939954537,
      0.486057049718937,
      0.48301090797686,
      0.529567876311444,
      0.507704735378118,
      0.525143160500497,
      0.472867927131039,
      0.441628998865521,
      0.516018173698977,
      0.479709207832531,
      0.512452707450774,
      0.570288919222508,
      0.498745758110614,
      0.464640472637747,
      0.775660050550243,
      0.535953883460049,
      0.517288100699768,
      0.581414105944458,
      0.565711155406525,
      0.518377822210268,
      0.402828996540287,
      0.521163270075693,
      0.543668037824733,
      0.463535782494647,
      0.690856183602242,
      0.502845393966623,
      0.707255123014906,
      0.64209410060906,
      0.583490777958461,
      0.527209570697126,
      0.539538756563148,
      0.62905531152616,
      0.476574276009069,
      0.528527432049432,
      0.579862945564881,
      0.55514293787437,
      0.485387599569201,
      0.49853779525784,
      0.491819744107274,
      0.628135959728651,
      0.58522342225995,
      0.501883937824733,
      0.49058649145215,
      0.482276825968017,
      0.482143921521841,
      0.460729222755349,
      0.510798493386245,
      0.5277898949343,
      0.462868036849969,
      0.531574893643778,
      0.520247664910211,
      0.545660824789465,
      0.463226486627864,
      0.632056752555344,
      0.675837759145413,
      0.620426831434774,
      0.520211420966964,
      0.597989980981725,
      0.580366819160693,
      0.503128982923261,
      0.501796641622486,
      0.514308487618313,
      0.627561826007351,
      0.641500052096041,
      0.477180711995584,
      0.551359536576887,
      0.606821082984342,
      0.689226670616282,
      0.576658716810536,
      0.581769981698662,
      0.563373836505245,
      0.629076904780276,
      0.578425877483659,
      0.437286894217667,
      0.486903458866253,
      0.456785550571055,
      0.494618466823307,
      0.598422154953123,
      0.664106846314878,
      0.52520000566234,
      0.554777444208847,
      0.660962196584954,
      0.497930733109178,
      0.502470426198229,
      0.500895323678506,
      0.534563216477528,
      0.65787538833218,
      0.822552343698993,
      0.597325369576822,
      0.692880933578576,
      0.46430664661781,
      0.507909323363477,
      0.592948800665914,
      0.627190401324956,
      0.574281070147685,
      0.67152943749084,
      0.598476901799136,
      0.450769688467588,
      0.468213274596609,
      0.437597519469456,
      0.507981132179509,
      0.523853585139562,
      0.443960533597819,
      0.524452315348372,
      0.60195175969372,
      0.770618092046827,
      0.442821631298152,
      0.610418238615638,
      0.441253465291653,
      0.466385101826487,
      0.670891315530711,
      0.569655203508684,
      0.48256193492207,
      0.661656665233305,
      0.495811511340966,
      0.483772750184125,
      0.553861455379133,
      0.476018260786374,
      0.603662855158169,
      0.513472262837991,
      0.603495500071336,
      0.420179407665669,
      0.488109794793471,
      0.602480869217978,
      0.473387538243215,
      0.449096371344596,
      0.447205710447155,
      0.75324912866473,
      0.537857358742379,
      0.427461676312628,
      0.596447389950258,
      0.471773982801486,
      0.438463987184092,
      0.495730720575499,
      0.646239308682718,
      0.512735760925084,
      0.601673889049536,
      0.541890244971894,
      0.440709262901423,
      0.631639962283961,
      0.555566957554925,
      0.541789864503921,
      0.534475817760009,
      0.490765279393566,
      0.505636055069758,
      0.528566153170615,
      0.594308414777346,
      0.537612977132439,
      0.580955994289214,
      0.517953385943662,
      0.544809981341609,
      0.422581296918119,
      0.624943937722687,
      0.594879258319036,
      0.51545283607722,
      0.50764232141499,
      0.495620152732511,
      0.46860627384611,
      0.494775163244526,
      0.517441877530441,
      0.540100029169033,
      0.568094700389654,
      0.560600421302729,
      0.506408290718747,
      0.544493341480728,
      0.48393732295299,
      0.697650691496934,
      0.619779964739236,
      0.593812292617688,
      0.525636098575312,
      0.600964637487547,
      0.603057094447347,
      0.560408505286158,
      0.522084627212482,
      0.449922679443417,
      0.640275151562925,
      0.605053123026987,
      0.526704644858312,
      0.514714736047146,
      0.56911141524615,
      0.696774646762541,
      0.443296462795749,
      0.623318033170934,
      0.542461620382111,
      0.643609949485677,
      0.563181801700227,
      0.552599516870424,
      0.51454568986299,
      0.580802517606113,
      0.476936978319103,
      0.613751308411816,
      0.602719648361425,
      0.432939363393169,
      0.541560095731052,
      0.670445279989383,
      0.502557351062351,
      0.437387432061134,
      0.380824622309877,
      0.364376058782625,
      0.296785048663134,
      0.459207898173068,
      0.415534266998133,
      0.435133863988232,
      0.330080257726137,
      0.467084978022361,
      0.291842940290786,
      0.358938632222625,
      0.46991175870565,
      0.483982109837389,
      0.443165824751432,
      0.505339379699784,
      0.434995937291362,
      0.529894860608699,
      0,
      0,
      0.682763509709523,
      0.742061680066823,
      0.680875896936897,
      0.539910466169252,
      0.705020751362329,
      0.654140251947491,
      0.660386599710297,
      0.751365844024976,
      0.647279753373004,
      0.678646379096634,
      0.54901820787394,
      0.718694870380781,
      0.585914841191257,
      0.426724992469718,
      0.44793147483165,
      0.560347483230382,
      0.45405290214872,
      0.412960721507143,
      0.421478004589794,
      0.514195123345552,
      0.516598987907276,
      0.428941996682174,
      0.567911801600308,
      0.488203030540644,
      0.475155050306098,
      0.470035794693798,
      0.498140523835523,
      0.646502014333809,
      0.635849290310625,
      0.716352297922449,
      0.620944980170478,
      0.541271167070403,
      0.568673288337445,
      0.628525146285388,
      0.576691595212885,
      0.610250486629603,
      0.702526481635546,
      0.554006465240809,
      0.594632564263393,
      0.631734850510871,
      0.632309109481775,
      0.545361813370687,
      0.535799510023193,
      0.499760814386635,
      0.554613012989997,
      0.4980446547187,
      0.524159996997763,
      0.521253679434365,
      0.717137187460601,
      0.548477167208997,
      0.581666952469122,
      0.596254429487669,
      0.520918367711229,
      0.582575511163092,
      0.449678888271103,
      0.426250817608735,
      0.543295515182518,
      0.58690786555035,
      0.572536039694239,
      0.491836369790061,
      0.673799049269056,
      0.672408581783819,
      0.655114966986991,
      0.493837969691858,
      0.554606923582506,
      0.574817759434345,
      0.520864246633157,
      0.655460786887059,
      0.583947809628642,
      0.544978413106513,
      0.517826523631842,
      0.454249437710606,
      0.562108292636098,
      0.61155162437436,
      0.563404680329149,
      0.498879279820125,
      0.833183762916904,
      0.65099079156542,
      0.440322784894318,
      0.387225674037775,
      0.46614478254048,
      0.454828602744212,
      0.392095030350964,
      0.631439791546264,
      0.542457493812002,
      0.555361193685143,
      0.658516324813585,
      0.620928511702982,
      0.529194027527703,
      0.624011668698153,
      0.663453436634621,
      0.561724706719776,
      0.6939421739559,
      0.673424096381528,
      0.596709562271625,
      0.545547258317499,
      0.544106622764931,
      0.682874319988208,
      0.460907008874369,
      0.516868865274954,
      0.53176438619846,
      0.679404033757,
      0.489511329950017,
      0.448609260593392,
      0.82462265972661,
      0.589524338122573,
      0.541033535188188,
      0.63804334399791,
      0.604255815470734,
      0.403385961562331,
      0.364314953180807,
      0.570073010914775,
      0.550135251803748,
      0.68073050238684,
      0.736584490027385,
      0.638558716605463,
      0.533592232121213,
      0.555168833061896,
      0.667277776378476,
      0.525636644174361,
      0.624252845631362,
      0.724353506123891,
      0.688818002329882,
      0.511782078075091,
      0.58421240024269,
      0.538997423514598,
      0.435546900331985,
      0.413946945974764,
      0.4946799838891,
      0.842759439632165,
      0.465515169073942,
      0.445189996539909,
      0.469131600593997,
      0.56714972641433,
      0.76822007703467,
      0.572519299074625,
      0.483561401480567,
      0.454947840274477,
      0.52177080894759,
      0.500245907767504,
      0.459501179870506,
      0.612980744669911,
      0.688634420332235,
      0.581718809289098,
      0.608608081655259,
      0.662946947877767,
      0.598621126436598,
      0.563534776870747,
      0.551268755852673,
      0.767132585350099,
      0.616793976616076,
      0.57427839435605,
      0.667421867103214,
      0.67627496339196,
      0.696992245430342,
      0.508964594478529,
      0.664260013730303,
      0.569680955982226,
      0.608032692279671,
      0.54380067812424,
      0.580949021456538,
      0.38666734709364,
      0.616616845870857,
      0.483299316463176,
      0.619020687949279,
      0.631521668640121,
      0.593639965610728,
      0.500168625209729,
      0.64238438743515,
      0.565048996260593,
      0.749547996669965,
      0.585799373730955,
      0.75817248816479,
      0.569864138377143,
      0.617933095901578,
      0.622225361854566,
      0.505727210994363,
      0.630351012172442,
      0.576884270715288,
      0.630714722576335,
      0.663437359218308,
      0.616294321349779,
      0.614061916491665,
      0.52911716094092,
      0.70051851019197,
      0.561683483495297,
      0.630893234293157,
      0.694067373782255,
      0.644458812277887,
      0.600997812123346,
      0.566243454975548,
      0.345072309250177,
      0.484819696804685,
      0.532219986441117,
      0.683986303217564,
      0.566177584941363,
      0.662484038149644,
      0.607920545412234,
      0.61285603900005,
      0.704519478854691,
      0.853269721779031,
      0.620266153698836,
      0.604946703792494,
      0.564716002439932,
      0.601770334233093,
      0.666205109049374,
      0.639151401158732,
      0.59193980007816,
      0.439803149973248,
      0.577809800880785,
      0.583101680353356,
      0.453379104536351,
      0.501735629381437,
      0.554883097495423,
      0.580752344823631,
      0.445931567754206,
      0.526225030678425,
      0.585155440859012,
      0.63154085388881,
      0.474886086452419,
      0.551495964187633,
      0.441716917951879,
      0.49057755503434,
      0.411099662943164,
      0.517860884906197,
      0.536355305626334,
      0.587140263288083,
      0.674062042390363,
      0.721218654871517,
      0.53726434967246,
      0.539295973493866,
      0.624542584568368,
      0.623027887862042,
      0.607234805773978,
      0.726981968279086,
      0.627962675373331,
      0.574484945977272,
      0.575309110280465,
      0.551233355344338,
      0.451685351519527,
      0.552803158272347,
      0.508506869273349,
      0.650705494953067,
      0.698929534254834,
      0.637156247615513,
      0.515419468534361,
      0.530299138529778,
      0.49587814061594,
      0.552784042296317,
      0.552798919722767,
      0.512442963393041,
      0.542705560267615,
      0.507769112923282,
      0.376748204585801,
      0.522967173007038,
      0.546689601953027,
      0.695029460037553,
      0.56832324127868,
      0.621850155362055,
      0.682441378865117,
      0.608872538556108,
      0.52310807538607,
      0.606560418289893,
      0.557359980307868,
      0.619753417653036,
      0.666554049466749,
      0.654289134947719,
      0.552408234779261,
      0.436571357908842,
      0.500594884346894,
      0.528797567142647,
      0.596138277984487,
      0.522148256275807,
      0.507296047627012,
      0.732053376119136,
      0.640772964631184,
      0.46342290740969,
      0.49014979750275,
      0.551351916771281,
      0.523034280450702,
      0.457779633515484,
      0.516342646710228,
      0.544532600989798,
      0.62756875527628,
      0.695606031466235,
      0.629071626643624,
      0.558933894575579,
      0.671846524227881,
      0.632488644627692,
      0.531121177091071,
      0.599612502069313,
      0.677929116472164,
      0.547799335026489,
      0.564248936130136,
      0.544138317347562,
      0.542941019059768,
      0.505610704441131,
      0.5290996415709,
      0.519121111566125,
      0.747569711467161,
      0.560405051488291,
      0.547801290547576,
      0.620686566387492,
      0.622148652846083,
      0.537374807593514,
      0.479575393801655,
      0.548672121332287,
      0.560738445022712,
      0.560055097959111,
      0.658031462334696,
      0.538975310230594,
      0.650507330497772,
      0.73889341872127,
      0.650463141475971,
      0.560271144978394,
      0.661163726058309,
      0.697846209230762,
      0.571040250944687,
      0.646913219564371,
      0.652178050091762,
      0.656001690736136,
      0.446676237438566,
      0.604266993396172,
      0.568052159978083,
      0.670765573062878,
      0.551966488729599,
      0.548713318331416,
      0.513545400658195,
      0.448048816348166,
      0.484646931988841,
      0.495089284911808,
      0.483455641930035,
      0.54787694907213,
      0.485457314969051,
      0.561967017771289,
      0.560764840600528,
      0.539556072762505,
      0.472613410074067,
      0.743199430117729,
      0.673714269024627,
      0.750164607996188,
      0.564162301307591,
      0.622897268362971,
      0.644995345246516,
      0.578412015416276,
      0.591763533378619,
      0.539884942176454,
      0.727932894254395,
      0.667990427580985,
      0.58992731561841,
      0.688199515180679,
      0.677447122729429,
      0.731016884443674,
      0.573009556762429,
      0.607716024644244,
      0.551632687529034,
      0.634854420979812,
      0.588593318889509,
      0.54430846311228,
      0.501060806240131,
      0.544328948658727,
      0.554987644992193,
      0.55488280246721,
      0.667334497493946,
      0.551665352958512,
      0.501035686622537,
      0.565206549850038,
      0.521825185870279,
      0.638359982353576,
      0.621553503023313,
      0.578303179071888,
      0.738479936477453,
      0.803865848126514,
      0.666463137772594,
      0.696505330806072,
      0.540219105071275,
      0.621200637227624,
      0.586687498422903,
      0.714704139831789,
      0.689227542871817,
      0.671449616794937,
      0.652082644628318,
      0.493588347569245,
      0.465835818446047,
      0.51034708347709,
      0.539039275655393,
      0.594559420409061,
      0.497521413665999,
      0.712083235458256,
      0.622772036675678,
      0.825407234698077,
      0.486869333045172,
      0.627622857744421,
      0.502461646575409,
      0.522163101860116,
      0.541437497807734,
      0.71118047011851,
      0.656211121635013,
      0.655599650918533,
      0.526107335480567,
      0.579320003968605,
      0.64012837067186,
      0.5386953319587,
      0.699654382313825,
      0.690212747358031,
      0.567172609975144,
      0.432338299173621,
      0.631185837169609,
      0.578617413875379,
      0.484372824780457,
      0.468891551065973,
      0.567617810600312,
      0.684031526697959,
      0.471995050334228,
      0.488965598395226,
      0.653478403902594,
      0.526114689983991,
      0.515065196001788,
      0.507770661782867,
      0.605408093677688,
      0.615163658642963,
      0.700331403501765,
      0.574925456518185,
      0.580612510521564,
      0.674659073084571,
      0.728056334703705,
      0.668067237808391,
      0.53210455761846,
      0.609166806793456,
      0.65356103844071,
      0.552657242613565,
      0.617964099682734,
      0.714636169756076,
      0.679961462494367,
      0.540082949236957,
      0.567794984943895,
      0.586185121640304,
      0.723882452224151,
      0.583771246280613,
      0.550640869009798,
      0.523342860216515,
      0.574608745076498,
      0.469525140051183,
      0.488946452814132,
      0.521946882378618,
      0.505353748556833,
      0.601516077276103,
      0.59137399852116,
      0.502500297014231,
      0.650348608770807,
      0.504109499897757,
      0.733294919247835,
      0.611202840847627,
      0.60715354199381,
      0.60573603331056,
      0.626423619640612,
      0.667690178893386,
      0.637727185909448,
      0.538221666493024,
      0.477832201216629,
      0.738832119073578,
      0.514146078455614,
      0.57480548569215,
      0.67259917134666,
      0.676575417065662,
      0.654912196249471,
      0.542454775107703,
      0.690751027252582,
      0.51906446131741,
      0.637318265992246,
      0.56720120454915,
      0.605241453911079,
      0.524521449197799,
      0.619150913553197,
      0.449769622952017,
      0.66390788691877,
      0.619029262654596,
      0.602183249452805,
      0.535035040413421,
      0.663817066393081,
      0.533298044635883,
      0.519647212596329,
      0.460756523352607,
      0.414961704011285,
      0.34786104568495,
      0.528441826172995,
      0.431053637544889,
      0.450792309767538,
      0.365381240982381,
      0.506502253344592,
      0.341355889074749,
      0.457648196735035,
      0.503210044633814,
      0.436712158812828,
      0.433297516770842,
      0.544654563549988,
      0.461302792338875,
      0.588869384292981,
      0,
      0,
      0.639849419093599,
      0.64960477567995,
      0.633614953208543,
      0.484860037539532,
      0.666690257371972,
      0.659496993735879,
      0.573352152900503,
      0.717059364989324,
      0.559059995143259,
      0.644266516654251,
      0.495567972707244,
      0.702055789797841,
      0.573174123795732,
      0.376698618965012,
      0.35555739670478,
      0.463019101542086,
      0.338660326777202,
      0.453293992354848,
      0.412972089583457,
      0.446650803016982,
      0.520353637817847,
      0.373453538786091,
      0.552888544803465,
      0.349977089355248,
      0.424810759310262,
      0.435308828029553,
      0.429230628692478,
      0.659416976491591,
      0.636747505516328,
      0.722245512787591,
      0.618012300601286,
      0.453202515108156,
      0.55413992621491,
      0.626636706675773,
      0.59648094194813,
      0.59658866997727,
      0.719135044006761,
      0.551689070965484,
      0.508047901924143,
      0.596425401311048,
      0.575365657465612,
      0.545379585862049,
      0.580501953810623,
      0.642576563296462,
      0.692617264812689,
      0.567457206453775,
      0.710205037340443,
      0.655100592724605,
      0.679911140504105,
      0.666924040147372,
      0.617842835482303,
      0.564304488720985,
      0.599376641194184,
      0.643192810127284,
      0.645361329018343,
      0.574850557612039,
      0.58996400936179,
      0.554336799306285,
      0.619335355086623,
      0.483032888493813,
      0.667112361413892,
      0.659124436077035,
      0.627749260957629,
      0.501667341815785,
      0.537203782275537,
      0.633532909963246,
      0.46157061147037,
      0.690892388093082,
      0.573367992382811,
      0.606194656283559,
      0.515342037597275,
      0.567389446152077,
      0.651700408335926,
      0.734048635955913,
      0.624193831623244,
      0.674305355129537,
      0.856526261773629,
      0.669434196058967,
      0.638433889564018,
      0.672997978136833,
      0.582955806733918,
      0.520759607238053,
      0.441635891472147,
      0.709675958910233,
      0.727394980235619,
      0.566323892188549,
      0.671941561439307,
      0.619728506385857,
      0.530735786641159,
      0.616175110194829,
      0.626037221370452,
      0.512256026180802,
      0.651985320845515,
      0.676989172496433,
      0.57681682920523,
      0.532809254186095,
      0.555495344294658,
      0.56365986239634,
      0.526134652038063,
      0.507562606888065,
      0.747598806093234,
      0.662838246914471,
      0.583251678314843,
      0.573031873743395,
      0.725055067369541,
      0.688740439528854,
      0.50711856636324,
      0.676767462250064,
      0.745899879705822,
      0.610440858350233,
      0.496182403858803,
      0.617330110119558,
      0.661074914810775,
      0.653306338600036,
      0.697816936775507,
      0.611560317492141,
      0.519202747932476,
      0.566736743512222,
      0.618215128525077,
      0.440668642362505,
      0.605094291435619,
      0.678741179168488,
      0.588596575865203,
      0.562266068534978,
      0.568081484388572,
      0.551325641157041,
      0.499356422201186,
      0.471017105778611,
      0.675035616172417,
      0.741057956175799,
      0.674731215928404,
      0.506337232528225,
      0.609133782931056,
      0.749883663849388,
      0.700142588954248,
      0.670433134598502,
      0.651230348071028,
      0.733514726683732,
      0.738675980811447,
      0.648182441169788,
      0.500283674858465,
      0.56720779559415,
      0.680993090598468,
      0.593901087002628,
      0.543483766340608,
      0.642061280787772,
      0.601140650967507,
      0.573745027419051,
      0.528027407306505,
      0.753991414358771,
      0.634510615372889,
      0.596233517596579,
      0.691994504867077,
      0.59641916189381,
      0.671296263864,
      0.493369634176518,
      0.718956516276417,
      0.651453662372656,
      0.70319847848664,
      0.614332398186078,
      0.600425898681056,
      0.533498076427765,
      0.607631459327061,
      0.666248102381272,
      0.594355021428613,
      0.669955520372525,
      0.670784866476838,
      0.753757373429709,
      0.709068446936888,
      0.638123419777253,
      0.713601173717708,
      0.581870167908748,
      0.725830570652514,
      0.651177678123711,
      0.648199445739721,
      0.640224572722001,
      0.561998227962006,
      0.631748676621865,
      0.585032207342129,
      0.724990217724606,
      0.671918028087189,
      0.63251891974928,
      0.570454829171109,
      0.567079286900308,
      0.732418605855959,
      0.761698848391654,
      0.688910867865986,
      0.752393927102751,
      0.649246801592596,
      0.597692950366871,
      0.515915458788831,
      0.540218454332625,
      0.698310721602028,
      0.660451886912537,
      0.683928629352055,
      0.586207057537807,
      0.709144101878998,
      0.739607684733591,
      0.563138907944148,
      0.669685774851867,
      0.736447654285784,
      0.487942616784653,
      0.571211640615074,
      0.591360835245852,
      0.532339447645678,
      0.550837365736089,
      0.619448594759381,
      0.59659197981616,
      0.407072527508753,
      0.557839105820524,
      0.616016151493561,
      0.503932687955376,
      0.583233063623486,
      0.69855795068509,
      0.703080543717418,
      0.587178765436255,
      0.620278936613923,
      0.667397006193449,
      0.630992331967387,
      0.517100623887272,
      0.586655036612135,
      0.712650903786652,
      0.572341286418118,
      0.535996107000263,
      0.637687162215958,
      0.563092119082446,
      0.59220016945976,
      0.684478954189836,
      0.615305882961002,
      0.483374760558787,
      0.541745585430227,
      0.627087457046758,
      0.623431708800613,
      0.634662544395153,
      0.721323917107484,
      0.592991100817487,
      0.529731395286444,
      0.530610854806,
      0.575782865906916,
      0.485586818837137,
      0.567215629361969,
      0.727274718922765,
      0.690457673619883,
      0.679095865558811,
      0.680114787303672,
      0.578232396987033,
      0.70062416364695,
      0.728857564129945,
      0.576689812459303,
      0.585893943151314,
      0.649307465728826,
      0.745186009752328,
      0.675357833512795,
      0.567603788409636,
      0.606718967378399,
      0.551193203459947,
      0.670633060632412,
      0.485670210732933,
      0.618249471638229,
      0.634057772940713,
      0.535732273615504,
      0.516632949141665,
      0.624640670952535,
      0.613810476474175,
      0.587973301523908,
      0.633897771611758,
      0.622149291946073,
      0.540024181557092,
      0.486316342050541,
      0.684613990534199,
      0.588992823286771,
      0.57347745297285,
      0.67869428630707,
      0.642439153890982,
      0.628817158653997,
      0.653162006845114,
      0.642613023507967,
      0.637049937424776,
      0.509109442088429,
      0.495955777742981,
      0.581795375855512,
      0.718628895447106,
      0.661984281244731,
      0.619341719349259,
      0.683605319750775,
      0.581668213398424,
      0.512496187403912,
      0.694337623943068,
      0.655064984522217,
      0.511793089030835,
      0.578678484807286,
      0.680675636380708,
      0.563314354856481,
      0.487742477292537,
      0.527124660539743,
      0.561456655120712,
      0.503210154668255,
      0.664848761755548,
      0.73479316309963,
      0.698407554378056,
      0.64094847158259,
      0.646757129171786,
      0.630066632278996,
      0.687530059658319,
      0.529252105220748,
      0.680680763469348,
      0.727233646898445,
      0.660199077892597,
      0.586028327902956,
      0.644109359589933,
      0.711682303151592,
      0.572176520459515,
      0.703664172648912,
      0.605933609658224,
      0.576336623704832,
      0.633714386383773,
      0.688196245889218,
      0.501134323133933,
      0.625488912630987,
      0.607080903694111,
      0.597696335321303,
      0.612239451348485,
      0.603031324614751,
      0.579952984275906,
      0.662731916263379,
      0.542092680164921,
      0.60189685052286,
      0.701222750970433,
      0.622787887153811,
      0.732349257646245,
      0.564796213792177,
      0.725276045974259,
      0.563884192985529,
      0.619944905397886,
      0.661268679995866,
      0.673994893129886,
      0.615792531011621,
      0.659276494067944,
      0.738255873139311,
      0.697365684003996,
      0.738585821911128,
      0.605623999515718,
      0.608342916642857,
      0.558747376397788,
      0.569391254066093,
      0.58169268096981,
      0.52898958488129,
      0.751277587392168,
      0.690378281800445,
      0.558853065480724,
      0.730337110946941,
      0.617910856706529,
      0.687937342990674,
      0.573319212348205,
      0.651060983923158,
      0.693187654752091,
      0.643951050701834,
      0.635230141040181,
      0.630349301478343,
      0.588693104623964,
      0.613725608567554,
      0.661414484147465,
      0.549904882086603,
      0.700806339039056,
      0.709500049913863,
      0.741369523876344,
      0.731645881940001,
      0.561365814180199,
      0.59321650504703,
      0.632321862919142,
      0.545841578738366,
      0.715093039460235,
      0.668116414457491,
      0.617770775372143,
      0.655770004244325,
      0.555159760152936,
      0.593548493210344,
      0.532745639548385,
      0.739830370932113,
      0.76166197439152,
      0.564431004830016,
      0.585867422035057,
      0.429905409924091,
      0.420497497867874,
      0.446856964604539,
      0.532711457930713,
      0.513058943500112,
      0.383004260980993,
      0.869496968114575,
      0.59834931033265,
      0.660953134702918,
      0.584385148353922,
      0.620944846311711,
      0.43747745268401,
      0.461674014520869,
      0.543581701495649,
      0.773041189417083,
      0.661643180643549,
      0.667022068563663,
      0.578050216989291,
      0.599524864413499,
      0.600908109653296,
      0.504523941452688,
      0.642857972215308,
      0.688706412574846,
      0.561887005526617,
      0.430165914805799,
      0.706398842745009,
      0.557369793381047,
      0.492971204811855,
      0.536874501017479,
      0.748038383791216,
      0.653460953857065,
      0.619623266888479,
      0.606345702255475,
      0.683041960615053,
      0.639106715718906,
      0.48998219280221,
      0.691802334908428,
      0.753608832257028,
      0.64771135648535,
      0.701272888032805,
      0.608799418503514,
      0.65520700882699,
      0.662945885675834,
      0.723221719438749,
      0.621729281973596,
      0.59613575937069,
      0.604297140164635,
      0.634308940771767,
      0.541221579917172,
      0.618610367855609,
      0.705275326841789,
      0.608548296749942,
      0.558979687466391,
      0.613226184299475,
      0.602189197785651,
      0.724062732538027,
      0.617273196754208,
      0.721505244375317,
      0.694257557309871,
      0.653895419070091,
      0.614638618144247,
      0.618422748049729,
      0.75333367388373,
      0.674893271734277,
      0.648158185463186,
      0.706954661745878,
      0.691722986829669,
      0.748889452297619,
      0.665732861829695,
      0.730109467806236,
      0.616947222469952,
      0.681040287088474,
      0.639750916349003,
      0.57282875598159,
      0.609107319102928,
      0.581855948956122,
      0.52478127691713,
      0.501877440541936,
      0.731795534313284,
      0.587598301471195,
      0.616542955119545,
      0.732368901279985,
      0.610729863907013,
      0.637702499023385,
      0.48937034509719,
      0.7140080130949,
      0.652783129627842,
      0.676034862091674,
      0.622207597101019,
      0.59874212077614,
      0.556928741576497,
      0.599320175380035,
      0.669800814664253,
      0.653550594735541,
      0.660722935574339,
      0.655627184250695,
      0.746231862918356,
      0.73871102215003,
      0.668879246822395,
      0.514877839977182,
      0.443061743636991,
      0.410871069518999,
      0.318931257443766,
      0.484139606980345,
      0.419319675679192,
      0.473382350737261,
      0.323744720467673,
      0.502419455140213,
      0.375345018081357,
      0.445997665735329,
      0.503401277482602,
      0.483332690892335,
      0.453627429150708,
      0.764542074223682,
      0.814723106909614,
      0.690933382947097,
      0,
      0,
      0.550065580643642,
      0.456009279195903,
      0.416776352546758,
      0.276331871760075,
      0.484744657514153,
      0.520195067537028,
      0.38678706581734,
      0.494944291119005,
      0.464501654840047,
      0.49539525375045,
      0.338493851725422,
      0.49058282840559,
      0.461899829689158,
      0.524181321063224,
      0.360433421604741,
      0.417866113160613,
      0.353373736851412,
      0.441913782798358,
      0.313560741326407,
      0.31958278499633,
      0.527964822243823,
      0.368445631148794,
      0.482440437716508,
      0.323432017163375,
      0.422412661160871,
      0.455099572403695,
      0.430701993127863,
      0.662649569835485,
      0.516106546341674,
      0.507452359860431,
      0.478824077903241,
      0.334624198237878,
      0.534298739204646,
      0.463817670034978,
      0.423234549578463,
      0.534170819088205,
      0.502123614283206,
      0.496366077262528,
      0.384332671438698,
      0.57057606252616,
      0.462965370211149,
      0.455331890427422,
      0.595518303204658,
      0.75847413645942,
      0.82449682214298,
      0.637290874532409,
      0.767063049809674,
      0.719338508554703,
      0.729795795682763,
      0.741474624075712,
      0.710547731488985,
      0.521101952464512,
      0.633074533548804,
      0.789211603079487,
      0.759134472403417,
      0.675565455346849,
      0.590486863040259,
      0.470629237558065,
      0.553202453533712,
      0.433963777299063,
      0.486388010566053,
      0.51520415392218,
      0.527279076404666,
      0.425273683191821,
      0.435028809021611,
      0.496662181047903,
      0.475276830293196,
      0.499283937372304,
      0.384760816109133,
      0.555175123315815,
      0.520988099780864,
      0.625703580662713,
      0.772392813047826,
      0.797529948192064,
      0.687495120204034,
      0.750545536180782,
      0.744663187152568,
      0.742349904652139,
      0.769147221088828,
      0.737381416412322,
      0.673436777182192,
      0.537164906707928,
      0.517935817550854,
      0.76496856234466,
      0.805516379909284,
      0.404634812320292,
      0.497997101862898,
      0.412857940003414,
      0.5377267520617,
      0.462948424939026,
      0.520571561899937,
      0.501806605280299,
      0.57087431009192,
      0.457214233473228,
      0.495135775302548,
      0.485897844254944,
      0.597343818530236,
      0.545134868973578,
      0.524183436680809,
      0.581768859218719,
      0.804601008685853,
      0.742322217121426,
      0.6671132939199,
      0.615813710666773,
      0.711191827679587,
      0.746881250365271,
      0.558533575251942,
      0.744673470156224,
      0.810100457863094,
      0.698689556173987,
      0.589874264650937,
      0.637673304865764,
      0.739511900656364,
      0.423947933671232,
      0.483491754862092,
      0.498436085027193,
      0.448329925956674,
      0.36716887767286,
      0.529467532094756,
      0.420015017009575,
      0.475120530405174,
      0.504755751210504,
      0.441036820927191,
      0.525203680971022,
      0.411409538566013,
      0.441989184201052,
      0.474136117452538,
      0.516843539431857,
      0.771164145108232,
      0.756584080387166,
      0.750008399317017,
      0.526659535983354,
      0.688235136749128,
      0.819118002317673,
      0.753078162768272,
      0.723718917192112,
      0.734262941548416,
      0.801186430047206,
      0.823164593249583,
      0.77807589959564,
      0.575877680755153,
      0.565030964926525,
      0.624324989463419,
      0.660427090515904,
      0.603601347165582,
      0.618589175957247,
      0.495875053589898,
      0.51173838878988,
      0.414664673334533,
      0.611394571105746,
      0.65812877270658,
      0.685341110579445,
      0.743134518495208,
      0.612689147336147,
      0.551700640599662,
      0.525880513229009,
      0.796543825790055,
      0.647596791554401,
      0.708226203740895,
      0.679853035276094,
      0.691085926001248,
      0.573934465864476,
      0.633667473331106,
      0.729324248741015,
      0.602447617684804,
      0.799085704366782,
      0.746272812677559,
      0.832827868541578,
      0.741228662174507,
      0.665354815740134,
      0.603120947995083,
      0.609576383270052,
      0.722887804847098,
      0.613178756198472,
      0.55230465797201,
      0.646877357229472,
      0.678685240414358,
      0.43251019268417,
      0.640015571543204,
      0.835188618187024,
      0.645835424793378,
      0.634665700071137,
      0.555878840326732,
      0.643181464784136,
      0.778644318810882,
      0.822064747702189,
      0.708410183791488,
      0.796869006663222,
      0.623537211669038,
      0.638405093576798,
      0.655746139937371,
      0.586435436159869,
      0.773822522263572,
      0.719335805101483,
      0.690452124938946,
      0.655688402772004,
      0.736116464631654,
      0.814248558240446,
      0.437260004586832,
      0.498359835167727,
      0.446104625641413,
      0.327634538965086,
      0.450121775205889,
      0.555839242077448,
      0.443880255434849,
      0.423113978658487,
      0.444929407991202,
      0.419451853406304,
      0.517112680445071,
      0.417788382807901,
      0.583448926798644,
      0.516631797949708,
      0.659925579604024,
      0.757936234252779,
      0.731242635553144,
      0.662868652303137,
      0.677276418796586,
      0.739093146901081,
      0.643223354798718,
      0.644680153034369,
      0.68227103219541,
      0.781816551275035,
      0.639950306475357,
      0.601959265110897,
      0.656126009923243,
      0.642637525993531,
      0.453781871701581,
      0.463349872155997,
      0.444740979919503,
      0.402591695315789,
      0.330698226504536,
      0.439320560060687,
      0.532587420403948,
      0.559050699011678,
      0.470104050674651,
      0.450932451863807,
      0.505591488421711,
      0.526811933599283,
      0.379047679909668,
      0.494598922292769,
      0.643501687375382,
      0.799043827572628,
      0.741178332804772,
      0.701958658902605,
      0.703416951006785,
      0.66129549227477,
      0.784402428599351,
      0.788338323427155,
      0.671113940577441,
      0.585999057933117,
      0.695037456955113,
      0.822326642471585,
      0.763246198763805,
      0.647458184146596,
      0.639408824861614,
      0.475987445930841,
      0.611966213177811,
      0.340192010521632,
      0.467356716178478,
      0.455336945352352,
      0.507429076375149,
      0.453049367541253,
      0.471853555071967,
      0.614053487683221,
      0.483883937797719,
      0.401004353944166,
      0.421530261283314,
      0.498200759196129,
      0.499696508675073,
      0.747529945960554,
      0.651138853569493,
      0.626286091047531,
      0.730465049678263,
      0.704157457519039,
      0.647352209570502,
      0.651641809409966,
      0.698007621879509,
      0.698028498891494,
      0.545897930997489,
      0.573818022576717,
      0.649459048018001,
      0.772010895431521,
      0.767699660760345,
      0.445423885690368,
      0.463036285477339,
      0.433141502928932,
      0.443058484878666,
      0.566398620328445,
      0.516185998361744,
      0.508071402243257,
      0.406616343157781,
      0.479704758822051,
      0.51041249553528,
      0.386139869933085,
      0.478180234715408,
      0.505943793507583,
      0.548724776567879,
      0.70874064321811,
      0.80626798297743,
      0.774431841777398,
      0.657844777741573,
      0.724837282115449,
      0.657821749984349,
      0.76029640564041,
      0.612670221222454,
      0.748686787124962,
      0.78832936948697,
      0.766555784247735,
      0.625404206603562,
      0.629031099444077,
      0.796030980579073,
      0.564028842446332,
      0.691702054632224,
      0.612825763434483,
      0.673994465449775,
      0.548856860427284,
      0.69657947767999,
      0.473572440403197,
      0.46609049524886,
      0.692378158176415,
      0.480562178943827,
      0.703552953927336,
      0.500423679479522,
      0.585067552206937,
      0.529382728663724,
      0.521968266856213,
      0.667660952804645,
      0.779158794797725,
      0.717286714954543,
      0.776498930527648,
      0.68059549425449,
      0.796487078659223,
      0.599719661016504,
      0.732848466706283,
      0.740610519950319,
      0.747934946468298,
      0.659467269990776,
      0.763989089184787,
      0.616772024523386,
      0.662169294536923,
      0.675274190136749,
      0.64134304669474,
      0.677674028844431,
      0.517223686845171,
      0.473940043387783,
      0.47292153597991,
      0.515632320110912,
      0.681093628229871,
      0.765047573568189,
      0.601961580550516,
      0.776340270426107,
      0.632414719081623,
      0.57247633837615,
      0.612216099385573,
      0.780090248646446,
      0.733104737457479,
      0.710016050159872,
      0.732918952776672,
      0.694990197550324,
      0.649811228475928,
      0.690686580830429,
      0.751283155872066,
      0.634199733170496,
      0.738080411397348,
      0.72676675175589,
      0.816179746468228,
      0.805310422779138,
      0.630037866981173,
      0.424438136039152,
      0.468302671142091,
      0.456563005031661,
      0.559910681872642,
      0.542422938577302,
      0.322386434211633,
      0.424030405699833,
      0.377351677649501,
      0.382978943334569,
      0.389853482883464,
      0.659023115398528,
      0.663256564921071,
      0.437710690758486,
      0.492053965102796,
      0.356467119250448,
      0.356794457852457,
      0.288719991722631,
      0.529165070682417,
      0.427813749383934,
      0.471471788037259,
      0.815427011433527,
      0.570806968297418,
      0.421496205135707,
      0.602087813358536,
      0.673798260140052,
      0.476296843773029,
      0.615694191283603,
      0.74020854595394,
      0.634448056777519,
      0.487594056165337,
      0.64090525348668,
      0.658615984034561,
      0.463753335455387,
      0.552476081181885,
      0.47460610686267,
      0.629805511424472,
      0.583361398301616,
      0.615954052157371,
      0.436799695913825,
      0.675420736761271,
      0.506463737737804,
      0.48205714414903,
      0.617081505158446,
      0.801668472836709,
      0.706588368881651,
      0.696645136377625,
      0.623320224511609,
      0.755346978987295,
      0.72298308102293,
      0.594632046454981,
      0.763916602593209,
      0.826031594851342,
      0.723443150118528,
      0.652126080780897,
      0.639375618362813,
      0.715922404124659,
      0.5223615181961,
      0.67909241832561,
      0.430359036181477,
      0.639949011268946,
      0.52149813140983,
      0.559848714399595,
      0.589919035398063,
      0.514798963371803,
      0.706126155416529,
      0.43532706743909,
      0.577996210022663,
      0.564515883103519,
      0.453636488691782,
      0.570060733661213,
      0.616771607888068,
      0.786739775983455,
      0.737791482539,
      0.730440060525399,
      0.65856914223682,
      0.670406393226952,
      0.821710687089579,
      0.734327159675646,
      0.703562450477404,
      0.752602664297928,
      0.757313765774756,
      0.79010258059179,
      0.781740068626577,
      0.603760533107086,
      0.632497005605107,
      0.645858950323749,
      0.68318076377061,
      0.578728378895289,
      0.671500439607392,
      0.541950379904171,
      0.504328055557671,
      0.468252667716656,
      0.590955562403375,
      0.632365841281334,
      0.684064755097249,
      0.719622332486199,
      0.50825087433562,
      0.578122450398215,
      0.478298406450553,
      0.781975557653099,
      0.670821939777197,
      0.661834776436727,
      0.600834939542795,
      0.636882349970169,
      0.647621068487155,
      0.627630201799024,
      0.734276847519035,
      0.712542679319726,
      0.783650515756605,
      0.706165322268774,
      0.82003101985859,
      0.736214299297615,
      0.713442574447902,
      0.476100831946192,
      0.435545171643259,
      0.364316027667083,
      0.368450622466244,
      0.506718700091463,
      0.416410432478366,
      0.468847558741124,
      0.390621271081108,
      0.478914526181446,
      0.369396615898098,
      0.400911347006112,
      0.473338192773311,
      0.446011585838834,
      0.495811878124416,
      0.835074868225382,
      0.879014998514654,
      0.739416955279591,
      0,
      0,
      0.452267784899304,
      0.376870817994058,
      0.359596724596271,
      0.319568071631316,
      0.452496479125608,
      0.486391542273622,
      0.390226518741838,
      0.469275081687222,
      0.383127928874209,
      0.376966451413237,
      0.343499194137087,
      0.428298692134309,
      0.493805647400943,
      0.53364811214074,
      0.36024199399504,
      0.412098062867899,
      0.405973881979713,
      0.394340366438053,
      0.278288342751713,
      0.367224563652011,
      0.504372992659646,
      0.30048190416299,
      0.38630310644044,
      0.315838550989645,
      0.428606035232026,
      0.396510228447936,
      0.456377683372634,
      0.700009288214201,
      0.561848888024737,
      0.466089423666596,
      0.42156107458845,
      0.403970045738541,
      0.645807773254014,
      0.482520189098098,
      0.447405641776967,
      0.559244721339954,
      0.395249841550487,
      0.503220820589027,
      0.412039745195217,
      0.539511051486577,
      0.482075046771595,
      0.37811989780791,
      0.536232082899059,
      0.670187014555028,
      0.760931996859111,
      0.604928266939287,
      0.620825857999094,
      0.639402716015843,
      0.659192250860254,
      0.613656999404173,
      0.650292046119825,
      0.595306887037652,
      0.552927884736263,
      0.792567050352021,
      0.676623054590128,
      0.586036080653608,
      0.658841877725174,
      0.388418211069298,
      0.588499449270514,
      0.404472035053045,
      0.650041996501933,
      0.625779105391632,
      0.470693597266969,
      0.438506058514838,
      0.472564532879141,
      0.512196244644432,
      0.419513410833304,
      0.445109146059138,
      0.404760151347879,
      0.52641418342462,
      0.517079928220554,
      0.549858093160125,
      0.716909578711165,
      0.712607980106751,
      0.581348903074372,
      0.619410206459518,
      0.67055468444311,
      0.696828891922067,
      0.782407466924995,
      0.629568902059601,
      0.63587594638056,
      0.572993929016731,
      0.636961348329274,
      0.596727623050326,
      0.684126468285208,
      0.464357623028606,
      0.453948797665506,
      0.373355932950471,
      0.5107049164527,
      0.410606633603189,
      0.483286058909206,
      0.507208862529303,
      0.569051118715113,
      0.424779627281785,
      0.509638462849012,
      0.46922274258397,
      0.59716403388205,
      0.560224081631953,
      0.56966477102726,
      0.588852994879292,
      0.612030520227627,
      0.664988843780178,
      0.545674810482228,
      0.567720542969146,
      0.597753950613111,
      0.613668918305305,
      0.527445227478048,
      0.74550146464636,
      0.637546514386764,
      0.600506488611489,
      0.573028741008871,
      0.643172009848922,
      0.697641740265886,
      0.403560368455265,
      0.493391307327606,
      0.520480249049354,
      0.502175622902557,
      0.410423166214301,
      0.469457558260725,
      0.407610683667499,
      0.466164456250068,
      0.4998384101913,
      0.423584913087549,
      0.524107412924459,
      0.415265406318568,
      0.489398144373743,
      0.455295482157461,
      0.559479940378739,
      0.703984478598322,
      0.590407860183768,
      0.652738953210885,
      0.486288555370895,
      0.58085230165916,
      0.667540474251604,
      0.713785484949712,
      0.736146303509766,
      0.647354194398309,
      0.650693802470792,
      0.681739090826581,
      0.732436947693126,
      0.645613408438547,
      0.552061484883227,
      0.741704308326837,
      0.594890891771615,
      0.617225732066697,
      0.57617277023442,
      0.513762544471631,
      0.532466157348798,
      0.534639333105445,
      0.571415175843994,
      0.635945634501914,
      0.69864051349275,
      0.672526301070186,
      0.649646654438078,
      0.558417598718415,
      0.537595660242956,
      0.68773199048577,
      0.563806558174502,
      0.636097172850171,
      0.549881427789063,
      0.663970827468418,
      0.548435312315568,
      0.607182399445891,
      0.560891493397016,
      0.64691249816524,
      0.762904014757064,
      0.776729358910817,
      0.711121803059759,
      0.601985764212251,
      0.720021701703632,
      0.601304038698368,
      0.576178949648001,
      0.714699100477345,
      0.564369931770639,
      0.536853684020015,
      0.668788958344393,
      0.696953071443888,
      0.399849004663179,
      0.616749700875136,
      0.784703705275818,
      0.679604685188453,
      0.621553390059889,
      0.556251527020185,
      0.6781403226277,
      0.721803117219146,
      0.661893955367704,
      0.651478080629739,
      0.704353372930633,
      0.595886341567863,
      0.51364249318448,
      0.672332681275475,
      0.549725132637326,
      0.633318773670018,
      0.720381190148008,
      0.684135867400074,
      0.633975174433094,
      0.754577946037044,
      0.670353908667173,
      0.297894739059226,
      0.482663976207484,
      0.51381114387601,
      0.373189692089689,
      0.464203689095729,
      0.48626330607237,
      0.421721207583662,
      0.320096658047721,
      0.559554740758992,
      0.482274565397234,
      0.641040512082307,
      0.439830407776264,
      0.61471579295336,
      0.458063898902904,
      0.571686517712398,
      0.59030797994228,
      0.59311102565812,
      0.538173475839506,
      0.564388806559616,
      0.731115610132082,
      0.583181440677553,
      0.627696254941135,
      0.746352025432739,
      0.706027180043009,
      0.593935101200346,
      0.582661659762667,
      0.623133099558995,
      0.626750825716185,
      0.440709332236831,
      0.417572142283482,
      0.386064778856743,
      0.357851003992901,
      0.341362794009137,
      0.483679045595504,
      0.54248987914563,
      0.502949248378695,
      0.569663295777265,
      0.58434024673552,
      0.638164623233239,
      0.46571786067891,
      0.379824685614865,
      0.484431262023824,
      0.621737162211191,
      0.660929024725037,
      0.618241412224914,
      0.544825149974939,
      0.590841073568055,
      0.585827623437748,
      0.735146408846748,
      0.651484358108898,
      0.712031862672082,
      0.662666883118935,
      0.620559746695341,
      0.714278595955922,
      0.648204324561826,
      0.598560400505034,
      0.577446379826194,
      0.468937252754497,
      0.562565870990094,
      0.427432188831516,
      0.553804149436097,
      0.486058207691632,
      0.713107732535076,
      0.53615560640429,
      0.46431526603707,
      0.630265622126022,
      0.378745494287878,
      0.484079424496278,
      0.501928080848516,
      0.504657520508178,
      0.473998088199533,
      0.655705755240691,
      0.621117700167852,
      0.562725523967825,
      0.606416519026561,
      0.572255887586902,
      0.738790370820801,
      0.600740068446174,
      0.543265250043285,
      0.646988676483996,
      0.540142185778363,
      0.577297244543555,
      0.64254006389978,
      0.642067682454876,
      0.697670177629575,
      0.483959405720259,
      0.362189013698964,
      0.426338043285873,
      0.449534195771456,
      0.482265958096181,
      0.504843499040965,
      0.534028412141323,
      0.447863368013591,
      0.446776194951697,
      0.482569662020313,
      0.307942499695282,
      0.440025055770587,
      0.576410818196733,
      0.580536926906096,
      0.569440729870312,
      0.641518450687483,
      0.676288778691923,
      0.533739004844051,
      0.663601140972937,
      0.692899313914032,
      0.681307599054845,
      0.560660116094944,
      0.581095619999709,
      0.703154038020287,
      0.68500437651178,
      0.570754285729333,
      0.665877073580837,
      0.669219937762961,
      0.438706408344601,
      0.613146340406605,
      0.498547652797518,
      0.598576166034014,
      0.498580434073799,
      0.641879663555651,
      0.518664709284952,
      0.489955367227777,
      0.653252596218166,
      0.477235054329078,
      0.623932679311291,
      0.550435135306679,
      0.607684714478863,
      0.534407049390545,
      0.480118455871349,
      0.623537512931815,
      0.645560157394129,
      0.654433251933608,
      0.620329403339195,
      0.644777610399536,
      0.72184387051978,
      0.496425591624781,
      0.647785549446901,
      0.628105787233167,
      0.674366004147014,
      0.541774769215474,
      0.721882190906451,
      0.587102443851479,
      0.619739278546825,
      0.679223700928987,
      0.588318030884884,
      0.69626826827043,
      0.507232242643206,
      0.434452327696003,
      0.409247298712445,
      0.571832651911157,
      0.589825330596922,
      0.721347214006559,
      0.657404842688981,
      0.72995423957855,
      0.66942155955659,
      0.538549680789865,
      0.600900894657902,
      0.738301418353886,
      0.602204816591612,
      0.627839463780784,
      0.685961068876693,
      0.619564287329624,
      0.581851626552596,
      0.62614856745367,
      0.648245093546063,
      0.636266141362279,
      0.726504352303582,
      0.796976269857408,
      0.716460110204932,
      0.684815210553286,
      0.72066131569609,
      0.336798347734028,
      0.456884663242954,
      0.478627314243971,
      0.514952100128963,
      0.563157954588844,
      0.369657988243781,
      0.435576285225102,
      0.512949125111888,
      0.419445187808124,
      0.473928143069466,
      0.576040815264498,
      0.456533255437848,
      0.465142421564133,
      0.395355659232209,
      0.395061130839471,
      0.309274691949659,
      0.351682555725323,
      0.49051419743685,
      0.439606280127651,
      0.432170338275367,
      0.552379950719077,
      0.485385723341305,
      0.441805301195514,
      0.409950602167971,
      0.644368276207061,
      0.460523364475888,
      0.644978306980279,
      0.74146327463544,
      0.494502252316861,
      0.560180875331855,
      0.698935640486724,
      0.70844218396708,
      0.5241955535627,
      0.533535049243947,
      0.457604458118739,
      0.682650777823656,
      0.63254427057474,
      0.658964347408275,
      0.403285491350456,
      0.60891006750157,
      0.501790866853833,
      0.478527207764755,
      0.572873150034734,
      0.622143206861411,
      0.640258784160284,
      0.706724181227724,
      0.508257936238802,
      0.688622388874893,
      0.594465275993556,
      0.603795956321313,
      0.703158166144339,
      0.671219293319945,
      0.604985767921239,
      0.573865465185931,
      0.638411650028249,
      0.707696349047169,
      0.469256050988143,
      0.633546973273283,
      0.456781490452291,
      0.534981077686508,
      0.500096382314146,
      0.557627872481668,
      0.608065931235221,
      0.50104933376346,
      0.648689264466626,
      0.457902770342186,
      0.630968151298477,
      0.481327668318062,
      0.519004143493397,
      0.5380320465893,
      0.518343496797479,
      0.681956571357664,
      0.654589384100884,
      0.664329583453423,
      0.611121392888045,
      0.537487417227089,
      0.676442947760314,
      0.677985431585835,
      0.651923799327607,
      0.691376473748005,
      0.692779548004968,
      0.670456990656961,
      0.720205235041669,
      0.664422516102066,
      0.614817512103975,
      0.732703934614937,
      0.561384409431284,
      0.566681335805767,
      0.679332229832559,
      0.547607530552147,
      0.539588154342717,
      0.517730049870919,
      0.513679670555926,
      0.613089543951913,
      0.694375376941473,
      0.716156579516552,
      0.562029953177924,
      0.5587372656949,
      0.502600542269376,
      0.669674441861295,
      0.570478745795916,
      0.63873299811288,
      0.533649064731252,
      0.660859605900308,
      0.619554531101686,
      0.59188479783427,
      0.580769969144653,
      0.670479224689921,
      0.719149930294981,
      0.757471347901638,
      0.695673694720939,
      0.646410521454105,
      0.653367862972735,
      0.559563960554926,
      0.49269465578021,
      0.421363655319495,
      0.368310778612525,
      0.554660706441165,
      0.487060509845488,
      0.510903077157307,
      0.470151619321756,
      0.528089560585588,
      0.407233646682303,
      0.447457549660357,
      0.51979836075178,
      0.494583001009727,
      0.518291445021739,
      0.728195424546147,
      0.69693789430255,
      0.693502333263386,
      0,
      0,
      0.371666860581713,
      0.40488647897058,
      0.30607408189423,
      0.326537598489391,
      0.425082655509696,
      0.44437438810732,
      0.4312514650809,
      0.376863914943473,
      0.325410176506152,
      0.330491780179009,
      0.386971239478051,
      0.469643249387077,
      0.494845166507091,
      0.550989287159085,
      0.347657725085553,
      0.467316335336486,
      0.463864083168775,
      0.421368007618005,
      0.301677566510842,
      0.379521171985152,
      0.565369087156054,
      0.361079859232343,
      0.448643251135934,
      0.390227786744593,
      0.436420851407353,
      0.464930273264372,
      0.546415964323512,
      0.685932399746615,
      0.496247325589772,
      0.493178372510972,
      0.364271609613612,
      0.438017703072791,
      0.671293737140355,
      0.58215777953923,
      0.543206303729228,
      0.561070942485684,
      0.468216611782893,
      0.49400215960185,
      0.527069384983921,
      0.488451219740238,
      0.607813611765359,
      0.459445796046039,
      0.516275198849087,
      0.612075608846262,
      0.615725363491877,
      0.539953461447136,
      0.49384662044161,
      0.692570660564811,
      0.690921449828358,
      0.527053718785979,
      0.656041081625748,
      0.640945878228721,
      0.481806532705793,
      0.769170725047516,
      0.570860988560011,
      0.484694353374673,
      0.74357767394665,
      0.450664229284838,
      0.618780267584759,
      0.361497904282787,
      0.761246086985953,
      0.769597795302261,
      0.460868123669953,
      0.420954855958764,
      0.482448270861197,
      0.494809493275321,
      0.44920597861639,
      0.593655010254477,
      0.409363922565826,
      0.481195550085533,
      0.528045400701157,
      0.540539885827188,
      0.581431038960156,
      0.624724895837667,
      0.577025083309227,
      0.50678437530007,
      0.677172784668776,
      0.670606955870853,
      0.739511862119835,
      0.624284319389378,
      0.593251192008719,
      0.731204067219607,
      0.691739865023652,
      0.503297216737615,
      0.558483491168474,
      0.47330080538178,
      0.458325176039964,
      0.50254615344765,
      0.486519642027988,
      0.317988779784168,
      0.606429628517038,
      0.47481842387001,
      0.566037130882662,
      0.440559871609562,
      0.458354560307972,
      0.544621923290275,
      0.605388718554305,
      0.602878583748358,
      0.62059865235574,
      0.531489328525811,
      0.472211498552022,
      0.438989039472298,
      0.513334041630539,
      0.620957677056984,
      0.553094002845453,
      0.60561102071913,
      0.693243305524072,
      0.789527478066684,
      0.545347800512104,
      0.497207832181397,
      0.557750082320665,
      0.5711917340581,
      0.675139954112596,
      0.455942372380232,
      0.433360514691364,
      0.517238016774945,
      0.51053945375467,
      0.402990963475017,
      0.467033747060503,
      0.450002551103271,
      0.538868137340819,
      0.471344126273243,
      0.501586043367155,
      0.508180610216947,
      0.405674912057848,
      0.490351508743945,
      0.47395539140621,
      0.613529657745247,
      0.561724656985129,
      0.516679941718583,
      0.60772973497965,
      0.464503633508126,
      0.644740921965651,
      0.497747500981754,
      0.624349844027611,
      0.776500050727805,
      0.597767624579745,
      0.548814343975906,
      0.512434676106835,
      0.588958439838409,
      0.661283085025174,
      0.596806959612321,
      0.742670805530465,
      0.582552231646048,
      0.591617029610312,
      0.596390575309503,
      0.48020019378528,
      0.510161269055624,
      0.492351481860239,
      0.483504150211603,
      0.659568140944816,
      0.628799652892596,
      0.633497154572501,
      0.661362681342589,
      0.56926201605311,
      0.518389333639155,
      0.663851226833822,
      0.570506546938605,
      0.66475295787394,
      0.533058228839663,
      0.638441744328966,
      0.542275968273007,
      0.644524205714437,
      0.567700358541262,
      0.677657233135116,
      0.740115637423283,
      0.803549064287006,
      0.621331451407043,
      0.612788047721047,
      0.672296647712558,
      0.548643480233002,
      0.464627329106866,
      0.739301255198286,
      0.651457250147454,
      0.530630372937506,
      0.614018053683507,
      0.634424191575953,
      0.348407041442847,
      0.472304591642346,
      0.701683419348838,
      0.750492052636549,
      0.619705880225307,
      0.531211488005702,
      0.646332926170182,
      0.642818816483069,
      0.580059189480746,
      0.563733110230468,
      0.689360298547916,
      0.671900586015123,
      0.559420020352009,
      0.757922342765894,
      0.678746750862969,
      0.551571662055018,
      0.681659830436871,
      0.68622986084787,
      0.719408438020224,
      0.675255819335171,
      0.610523619832447,
      0.504946991190756,
      0.490848506255675,
      0.5055187871317,
      0.318001966111372,
      0.480038867232401,
      0.57424402344577,
      0.516331058884081,
      0.302277389458123,
      0.684505686332923,
      0.661321968594522,
      0.566480248501637,
      0.409615684294438,
      0.571594862307248,
      0.482606360715301,
      0.429378029433354,
      0.540106351636991,
      0.493620858631846,
      0.424714416452778,
      0.518881766216857,
      0.77022954001489,
      0.591829772736454,
      0.606438336932079,
      0.753700936399395,
      0.65542684547566,
      0.63204758120195,
      0.531458409266462,
      0.679245085228726,
      0.691822164663027,
      0.497645952608558,
      0.37595517262565,
      0.37091022010655,
      0.474675420440654,
      0.357830391439263,
      0.456255039465705,
      0.547210230461719,
      0.463168886406226,
      0.680026281720863,
      0.661823884432498,
      0.614800893986018,
      0.410455322594941,
      0.38529709688576,
      0.442876892173555,
      0.625862687084349,
      0.439848835756836,
      0.535661599938823,
      0.51312134372673,
      0.51208606744661,
      0.640699066626744,
      0.71657061723976,
      0.507573744624283,
      0.704492668039087,
      0.676023707832529,
      0.679181389161448,
      0.62971915537044,
      0.559934103590814,
      0.5645306674072,
      0.704470933675858,
      0.48884001598916,
      0.607080573269822,
      0.508260002581146,
      0.598623205196764,
      0.66785420856134,
      0.85323037734737,
      0.558625958716364,
      0.414498825867279,
      0.589487210248635,
      0.461984018326221,
      0.63772956266395,
      0.486532848380651,
      0.542272445347295,
      0.552925955822623,
      0.764213226793947,
      0.601133530607964,
      0.580778609906173,
      0.498158656828916,
      0.519599265259535,
      0.778440842616464,
      0.652764052935343,
      0.55424917267163,
      0.640021424779359,
      0.536181591196599,
      0.67711462140113,
      0.651134302215692,
      0.763962982974391,
      0.576537946607706,
      0.452310905799846,
      0.400024097903577,
      0.476374034573563,
      0.60457170572616,
      0.496556272860147,
      0.509503913111222,
      0.589314694463122,
      0.459184993313151,
      0.426075709349386,
      0.429357457711381,
      0.441276802638354,
      0.471825906777955,
      0.648257210656003,
      0.574629740654062,
      0.529268359018403,
      0.515344291017349,
      0.554327028160233,
      0.450347597409285,
      0.643627052643627,
      0.748655964701352,
      0.678721965484259,
      0.741928370370265,
      0.544854400591885,
      0.547384952049959,
      0.579069388025073,
      0.644982415327461,
      0.672138008870622,
      0.575797762519767,
      0.446344338185529,
      0.554350436125023,
      0.560419482782222,
      0.503932344525677,
      0.5656483072852,
      0.681033645871003,
      0.59276884425144,
      0.489031966523735,
      0.420716348416884,
      0.464475366319942,
      0.593942388216875,
      0.528224733757177,
      0.551674977502599,
      0.590769146618684,
      0.414976031962497,
      0.571271760982208,
      0.584227738356208,
      0.531261799837394,
      0.577401326711316,
      0.754835711408612,
      0.669418225116187,
      0.492997585531895,
      0.744148900875896,
      0.605355600876357,
      0.660853081666545,
      0.557312724118192,
      0.663223586660476,
      0.655073036863184,
      0.543033874321824,
      0.677990184217363,
      0.47973912810568,
      0.666264257140268,
      0.472591053619592,
      0.490429595432079,
      0.546126417773373,
      0.547079249972241,
      0.516731101291557,
      0.673262938032458,
      0.58959533251932,
      0.636140309301112,
      0.628035107446723,
      0.524297702350519,
      0.546125958322665,
      0.702542714515505,
      0.570946195092208,
      0.63203449272516,
      0.638208523240902,
      0.597726872770954,
      0.598849044070042,
      0.540324833081706,
      0.687380182050188,
      0.657430516880389,
      0.707780371392127,
      0.80397792707874,
      0.541053001441188,
      0.515897862412309,
      0.729159999667365,
      0.337273767034955,
      0.461132475553599,
      0.454969394240642,
      0.434660274063104,
      0.588399931930872,
      0.45352989146767,
      0.60307742110703,
      0.560756470080626,
      0.401138742592014,
      0.53556530834045,
      0.639957197752428,
      0.518059943541418,
      0.483132106081629,
      0.574487413073467,
      0.413528713936608,
      0.311762010023893,
      0.428438363391228,
      0.490406936026696,
      0.459090175068307,
      0.348289437326334,
      0.527029590177644,
      0.495261720933253,
      0.44502798604662,
      0.429684319376918,
      0.576883957148794,
      0.456208883908676,
      0.527100675549253,
      0.54938417361777,
      0.589170581158322,
      0.875855453733076,
      0.830725519057433,
      0.73280818357303,
      0.633271356089946,
      0.578214432580696,
      0.534682713353675,
      0.650169394042526,
      0.571751221183444,
      0.654965141104097,
      0.4395996679365,
      0.546579023334075,
      0.551642869579665,
      0.524730119546382,
      0.473635590461618,
      0.47164163394356,
      0.484135763017667,
      0.737425530050452,
      0.62704701530846,
      0.623430451021592,
      0.536561118350404,
      0.758873054563201,
      0.727115774391979,
      0.553598660819896,
      0.440686154167328,
      0.576635554923597,
      0.654546228652685,
      0.714725023593601,
      0.417890646332338,
      0.4514358338015,
      0.554293752797359,
      0.500835988291471,
      0.489828709853639,
      0.583214632697779,
      0.658139198155679,
      0.548667703888352,
      0.427917393922719,
      0.525810677975759,
      0.617811390288202,
      0.406797716201104,
      0.575248105052552,
      0.576798388547132,
      0.505678252451282,
      0.660214482950654,
      0.53281775055049,
      0.609339023449599,
      0.568345604587126,
      0.633702514269373,
      0.616672743514654,
      0.556083825562059,
      0.748571605023169,
      0.665511170119747,
      0.629704019553672,
      0.596101291139644,
      0.59210579050332,
      0.68147264075104,
      0.672343405618109,
      0.730067629329035,
      0.596537014769479,
      0.583520264912129,
      0.638129554835055,
      0.476492927433174,
      0.517850570149028,
      0.473191950520642,
      0.481855896748098,
      0.640911732872294,
      0.631870424317825,
      0.652608379994938,
      0.617680038517279,
      0.552892923211417,
      0.532669788476935,
      0.621443489731746,
      0.584364812966763,
      0.698543362185436,
      0.551788179885991,
      0.641070117009174,
      0.589007892516913,
      0.661470422574935,
      0.506160801246567,
      0.694199636759117,
      0.700433922963021,
      0.775351602440156,
      0.676235632149404,
      0.530391837848516,
      0.636207371296144,
      0.529908376494203,
      0.410588004165953,
      0.380903515401395,
      0.350841393265185,
      0.464603435809726,
      0.447876929872254,
      0.466903895049988,
      0.425194848326753,
      0.508669151419521,
      0.406288387837668,
      0.41005417008386,
      0.499810542165058,
      0.471211679197472,
      0.504171823957749,
      0.633305334478955,
      0.454814243958959,
      0.565466168766732,
      0,
      0,
      0.402940722829954,
      0.433117805975442,
      0.388170438810638,
      0.315339139999693,
      0.411928732237449,
      0.453888004957468,
      0.485795612286034,
      0.340788204549931,
      0.407897888484349,
      0.471616295751079,
      0.434516753358013,
      0.518792746135025,
      0.420949474807415,
      0.50382277954728,
      0.355621323667791,
      0.571301248790299,
      0.455236738753808,
      0.481054945900454,
      0.506771938267288,
      0.362486078512785,
      0.621998453488867,
      0.505731695958208,
      0.549509751356982,
      0.429337544005827,
      0.419525024996773,
      0.525639457925104,
      0.525212839647074,
      0.664069491840989,
      0.645188586706682,
      0.533473616801263,
      0.411679579064845,
      0.693035679971441,
      0.621713822606465,
      0.711870356526602,
      0.571457031028622,
      0.554890061399645,
      0.453974668405667,
      0.672653414006596,
      0.685145975235741,
      0.557101776765563,
      0.695659382612658,
      0.482021138986207,
      0.555750438407388,
      0.630648227049643,
      0.603672762793676,
      0.56791714680178,
      0.581047583259109,
      0.646179000713134,
      0.752402318198216,
      0.608933629472089,
      0.681078139198904,
      0.648627096806278,
      0.592120264962812,
      0.694547659596887,
      0.550517064331139,
      0.471490072532752,
      0.748273882911988,
      0.552899663015214,
      0.654586290348356,
      0.565098983793594,
      0.655287587167907,
      0.843524158085108,
      0.552544789899424,
      0.425521162366921,
      0.541849983046738,
      0.433964852996268,
      0.508355038315322,
      0.614518419306538,
      0.432490978563807,
      0.507559378209051,
      0.569269290800796,
      0.723677439480861,
      0.640953828226602,
      0.613015786927603,
      0.705713907188533,
      0.618191633224647,
      0.660472599850016,
      0.754201119733949,
      0.701340996692054,
      0.677610209746354,
      0.724148383943798,
      0.783341889261023,
      0.65209135305572,
      0.546876573343881,
      0.503557877990435,
      0.442281697193355,
      0.468745049943418,
      0.637842600723245,
      0.585698326957646,
      0.443404840590165,
      0.756238646063449,
      0.475101402373216,
      0.567051949400497,
      0.490026770464426,
      0.472981054835,
      0.528777851288854,
      0.720150580091859,
      0.605098036009985,
      0.605874429676806,
      0.538536511773052,
      0.510690331859317,
      0.528609130064554,
      0.536191122181273,
      0.722545580114837,
      0.63398686406634,
      0.635904187833712,
      0.722516383441933,
      0.652711633295373,
      0.507471658643931,
      0.521928913261171,
      0.582281145202528,
      0.654764617761693,
      0.62752412332348,
      0.478153095266107,
      0.59364469032598,
      0.713542082800724,
      0.579098183901463,
      0.366324872085191,
      0.527775508314924,
      0.49000030659905,
      0.585316617911481,
      0.494842784642139,
      0.615127263013921,
      0.520598314727676,
      0.57867217402789,
      0.456370127651887,
      0.457323827421638,
      0.618559843376891,
      0.617765307728971,
      0.542929806650425,
      0.594736048485039,
      0.383159421629095,
      0.803381126938131,
      0.525974290789526,
      0.549009156749195,
      0.767577802153535,
      0.565436767409682,
      0.676239460465785,
      0.519603416716511,
      0.643630914605691,
      0.70931343886484,
      0.616908196750996,
      0.747031053419724,
      0.522627234759358,
      0.643435035080656,
      0.613706614426191,
      0.538225253003327,
      0.548956097383119,
      0.555628714607171,
      0.51633571324581,
      0.594718931569346,
      0.645836070804288,
      0.532263339067454,
      0.702549591924355,
      0.640421738102168,
      0.545042630681952,
      0.679825711921677,
      0.51186703882972,
      0.691732878553617,
      0.617929867897593,
      0.662440548527505,
      0.702299403989103,
      0.711637149425327,
      0.595137863331077,
      0.6905952214764,
      0.784762076004509,
      0.745085079854185,
      0.592002308931953,
      0.610620241811415,
      0.650618179566637,
      0.459155585667575,
      0.477017701974225,
      0.714744201441529,
      0.673099054844475,
      0.561748786390772,
      0.687869116968004,
      0.616801635902508,
      0.402537940345667,
      0.433935286474969,
      0.677431962804202,
      0.717720902302297,
      0.649095193553875,
      0.54559963401757,
      0.636398711759138,
      0.569644092813769,
      0.512588178890064,
      0.491716874803907,
      0.640183997231673,
      0.711658670246632,
      0.571113703032397,
      0.674090210650023,
      0.705077043474154,
      0.602222168192082,
      0.641818127972639,
      0.759978639483003,
      0.817393839954963,
      0.659704085986905,
      0.664094867009175,
      0.655376036595627,
      0.561627038812127,
      0.486493793409075,
      0.522822596388361,
      0.625506971210168,
      0.612371095284359,
      0.564482658562286,
      0.387555203238227,
      0.702641927729361,
      0.627645215749141,
      0.446175450535871,
      0.481693686951346,
      0.529772265824269,
      0.586051414695959,
      0.443423716563355,
      0.550317604455256,
      0.495539205604895,
      0.44012703908406,
      0.544722733162574,
      0.700017564383434,
      0.605305330825493,
      0.594025042473869,
      0.696497959802422,
      0.550668500276,
      0.515602132186238,
      0.545135868203664,
      0.764941142285082,
      0.644683052754038,
      0.447500256271061,
      0.524276809836432,
      0.380164814007163,
      0.545691197249145,
      0.443960094557763,
      0.632270873933597,
      0.559668245418915,
      0.468488486206052,
      0.532948910558479,
      0.503212102730032,
      0.48042910933864,
      0.427910898733292,
      0.554829853927068,
      0.50219091411911,
      0.612187434171466,
      0.588043322124783,
      0.51596613733595,
      0.582075100671822,
      0.536242726944164,
      0.690745184544844,
      0.694618279947439,
      0.614462593302706,
      0.629561034157695,
      0.685219769591406,
      0.535924604379755,
      0.73107950645386,
      0.521852486025048,
      0.602370474911988,
      0.787744765834428,
      0.490062112678833,
      0.591562486534871,
      0.63897893092432,
      0.624301058297337,
      0.818755139040113,
      0.808098944091437,
      0.558972983007359,
      0.460747945193184,
      0.555206983564494,
      0.408932868167865,
      0.727275740151132,
      0.757559814785808,
      0.604926339865253,
      0.55920394671191,
      0.765675421065218,
      0.587480976903788,
      0.564652881009058,
      0.599605163234683,
      0.695949119222761,
      0.767272702452044,
      0.701445564295706,
      0.618652734051307,
      0.650256743804888,
      0.687674502372761,
      0.76103680280346,
      0.616128903679153,
      0.747563204493136,
      0.575189714347818,
      0.523237462957533,
      0.41402574215765,
      0.485930290586462,
      0.68924923328124,
      0.705763079554262,
      0.7776475505267,
      0.563017743039169,
      0.459120305856578,
      0.521323538163505,
      0.506450754444013,
      0.431676098746856,
      0.445663686566187,
      0.606086409175574,
      0.551200530684488,
      0.638088654715743,
      0.55808935592428,
      0.510332862376121,
      0.543302102738382,
      0.628753105960261,
      0.790260043814093,
      0.675417846046163,
      0.823154312084313,
      0.613736081012406,
      0.612143881309535,
      0.607003434916734,
      0.707800292640923,
      0.621770236408948,
      0.636668669763999,
      0.480856906922664,
      0.594042814554255,
      0.57096041270739,
      0.509918221878702,
      0.557564195870589,
      0.636475291765682,
      0.641862263792182,
      0.462640419740315,
      0.407520972063438,
      0.496922465643223,
      0.550963259999952,
      0.461600710003616,
      0.655822514021002,
      0.602340131277155,
      0.510387462241839,
      0.604541928431235,
      0.666574044993483,
      0.504960921966734,
      0.555500246317341,
      0.809311172980848,
      0.627938921060167,
      0.524398584968822,
      0.796399357588282,
      0.642088773414241,
      0.681624772278703,
      0.583247468936012,
      0.69902373342484,
      0.728850777116166,
      0.59206392767316,
      0.729514362811705,
      0.442949908276773,
      0.692466403632962,
      0.534223313871247,
      0.621716558908943,
      0.574270087578705,
      0.566664229906693,
      0.486935777836732,
      0.700418425333357,
      0.653817587232748,
      0.523701360294177,
      0.723071008745504,
      0.600027794882496,
      0.628127925012354,
      0.720510210193282,
      0.607073428515791,
      0.609457680762207,
      0.673331120251749,
      0.52004840083692,
      0.71883668448176,
      0.620165711538525,
      0.706658698764699,
      0.704528509245443,
      0.72596717140374,
      0.720393329789696,
      0.558900621928537,
      0.572907962545504,
      0.720251580710536,
      0.379219565137113,
      0.462135380071545,
      0.489793322058155,
      0.446155680212845,
      0.583775366177284,
      0.456538707245324,
      0.650027529949582,
      0.39270317811204,
      0.44748868588525,
      0.487119022181054,
      0.639520853447778,
      0.444723892570316,
      0.539499629115632,
      0.656022263575894,
      0.4276324430739,
      0.347743108810871,
      0.487967121607676,
      0.516434088724638,
      0.588426018059686,
      0.502087205838699,
      0.475879535675437,
      0.57471945677967,
      0.430461733781525,
      0.393814989779676,
      0.581621176894338,
      0.570252817779217,
      0.484148204898967,
      0.603424858074812,
      0.733529954070038,
      0.884168796355784,
      0.762647900142269,
      0.621606787448786,
      0.67666215151073,
      0.733492129908467,
      0.592814310067549,
      0.737981815594906,
      0.642570505275775,
      0.70158046424399,
      0.487465083233923,
      0.488046440800812,
      0.629671074369171,
      0.558532975268216,
      0.501924165342599,
      0.507749323578682,
      0.496618664012368,
      0.655508755747277,
      0.720968874339762,
      0.713297297787178,
      0.658872409290737,
      0.789742153642249,
      0.720388557311023,
      0.602524543920235,
      0.392277163097705,
      0.562015221467085,
      0.70226303471284,
      0.680748007378711,
      0.522516684223214,
      0.548547315606286,
      0.600625534285957,
      0.530044426168862,
      0.584936468670277,
      0.675941593750621,
      0.683767151329509,
      0.584456045763456,
      0.430095959609524,
      0.567493875623094,
      0.654342498412791,
      0.531983705754171,
      0.642629599571079,
      0.549256662752364,
      0.496048264712542,
      0.705736475825748,
      0.529956354684697,
      0.649355923420837,
      0.594009500906356,
      0.77324696605807,
      0.644561617777657,
      0.579288106631833,
      0.767859421952395,
      0.732720105048814,
      0.633466986252335,
      0.585518566785854,
      0.712198310853219,
      0.660152739337889,
      0.729788282249439,
      0.709410329598487,
      0.531063244427683,
      0.56586781805055,
      0.661357589303514,
      0.572454109026131,
      0.516763695856055,
      0.52316206095474,
      0.476500680072485,
      0.572664265991415,
      0.630545266544135,
      0.579996666006817,
      0.651777791274912,
      0.654327443859659,
      0.566168504624083,
      0.620748086133031,
      0.526252136627506,
      0.724255408640779,
      0.59456302052513,
      0.673495337827715,
      0.63398662773531,
      0.705299575709599,
      0.551352692171813,
      0.685694697686517,
      0.785807448956213,
      0.726050603631547,
      0.698941880908609,
      0.565620293372304,
      0.647661452709633,
      0.507789743289489,
      0.435696621698298,
      0.370930179206222,
      0.3315739798224,
      0.47170228095502,
      0.474620290075181,
      0.438048046939553,
      0.366711801802835,
      0.488937865170908,
      0.388354643593108,
      0.408026841965431,
      0.491785512311118,
      0.509002702956782,
      0.515769260896044,
      0.607672758198845,
      0.471020809177979,
      0.544197513949606,
      0,
      0,
      0.361098061627244,
      0.439727151212376,
      0.407419430164004,
      0.325761447400671,
      0.398669989054749,
      0.5347174565409,
      0.548280544400632,
      0.447171208168055,
      0.408257248863932,
      0.449683045691952,
      0.45121753595709,
      0.495413777345349,
      0.501922378013057,
      0.591107155284131,
      0.358670456387469,
      0.571055538709968,
      0.410809999473289,
      0.608092984390897,
      0.483129832896234,
      0.499624344764013,
      0.606296033313917,
      0.507007098311353,
      0.571661071240138,
      0.434694918478352,
      0.520782259951945,
      0.557194575020081,
      0.542551835940451,
      0.630402461740401,
      0.792030944032183,
      0.733430014221102,
      0.500750670594954,
      0.826547867056404,
      0.559612380404377,
      0.675502725690236,
      0.566725532307805,
      0.580304296686996,
      0.674805928469928,
      0.722398308299982,
      0.714659546744679,
      0.559645545413704,
      0.698015143766148,
      0.416834492322094,
      0.583672036893881,
      0.741276275225474,
      0.612222483756618,
      0.659530809734242,
      0.573780563652749,
      0.637912878442113,
      0.753039761488809,
      0.513181575704678,
      0.536374344913051,
      0.75647707091354,
      0.561158816869343,
      0.638649164179326,
      0.545353141479892,
      0.422591546804936,
      0.626683443236089,
      0.660398297157382,
      0.73556753023789,
      0.638862025507462,
      0.634610989960007,
      0.798036194327539,
      0.559963789438245,
      0.535457175155415,
      0.695959110363932,
      0.534226968445466,
      0.709296351561924,
      0.475894300259452,
      0.49105165687731,
      0.536974971389453,
      0.576871774665509,
      0.807961307478047,
      0.714466271521875,
      0.609795109060916,
      0.75515111419534,
      0.76995300487831,
      0.603338344318483,
      0.753298586686323,
      0.673421963894356,
      0.641190955099738,
      0.73212193410476,
      0.680129483160651,
      0.57609036670252,
      0.552431357029645,
      0.612205652317679,
      0.4995984427141,
      0.571954631912948,
      0.678530314548641,
      0.633435226792814,
      0.734101983593132,
      0.711039432595231,
      0.506014790020481,
      0.550874527568891,
      0.517239697920699,
      0.590854988123023,
      0.545544043781018,
      0.660355094011661,
      0.588039928705989,
      0.557363916536589,
      0.580109764030504,
      0.596188947549536,
      0.580101401979612,
      0.590548603469345,
      0.686086552453797,
      0.616224736298999,
      0.623868692131642,
      0.659301011892972,
      0.617782508223061,
      0.517812139342822,
      0.528581969331251,
      0.54225428479591,
      0.706212683767359,
      0.537158314692052,
      0.499174240712824,
      0.767924548123329,
      0.810518537406738,
      0.596969340450953,
      0.495557334306917,
      0.568324550934453,
      0.555419901798284,
      0.514590235032454,
      0.482864752463366,
      0.628872575008848,
      0.590321742465368,
      0.543555067680546,
      0.471827331144786,
      0.550653703347598,
      0.496619313577264,
      0.65472866462239,
      0.531518876874357,
      0.579631805019326,
      0.447795171239832,
      0.751719652289641,
      0.474153996656702,
      0.653819403076065,
      0.627085867706273,
      0.471870735165504,
      0.815550312501716,
      0.612953438772849,
      0.639553802148112,
      0.593097873010895,
      0.57278232867363,
      0.700440989046915,
      0.501999240943816,
      0.62105363744661,
      0.61995702186956,
      0.63012303630305,
      0.646842601048667,
      0.66060751181878,
      0.583304060777631,
      0.59161513173823,
      0.640117010817457,
      0.535514521355657,
      0.69736703937242,
      0.697249808456287,
      0.671843718052423,
      0.620990470026938,
      0.529021887536999,
      0.660691626800571,
      0.610645134597348,
      0.658431442654519,
      0.72172390193908,
      0.625143746519141,
      0.552414259006656,
      0.650361227869599,
      0.728774169346209,
      0.615662235020464,
      0.643603532170794,
      0.63986679648091,
      0.635329647970029,
      0.52815548646688,
      0.445850669208006,
      0.748414453297907,
      0.634188725465616,
      0.602474097317105,
      0.723202519358297,
      0.685353050738099,
      0.421555741925079,
      0.488666295514219,
      0.64661241178207,
      0.620211589148804,
      0.724411010610231,
      0.66421954668043,
      0.631841187913959,
      0.564964960508945,
      0.579157894858127,
      0.550026355352075,
      0.659595498731807,
      0.698760141170818,
      0.663021215362516,
      0.718086160528527,
      0.635067754486655,
      0.564380173170815,
      0.656224185826219,
      0.746460839320795,
      0.732993524324791,
      0.680878728898535,
      0.676662861968143,
      0.67040622397559,
      0.600366578020415,
      0.558018790206754,
      0.721163942266799,
      0.768536482345542,
      0.59707747020098,
      0.582631650454427,
      0.437010631400968,
      0.537422341335713,
      0.436616106960404,
      0.437342457920492,
      0.528780299438523,
      0.662170153618603,
      0.596655267131622,
      0.598062155146553,
      0.669046669932989,
      0.462396624653573,
      0.434814913629947,
      0.646745571556449,
      0.68656372881285,
      0.619911123540975,
      0.541134134847808,
      0.565641689786483,
      0.522531043292292,
      0.413327880402624,
      0.53526658157192,
      0.730801365089172,
      0.699236658169885,
      0.480365370977104,
      0.635235153566259,
      0.409752743451754,
      0.69981585108488,
      0.665578430439559,
      0.691534301398699,
      0.591723722922438,
      0.505988443348555,
      0.426542051195367,
      0.424911157737134,
      0.476094646029659,
      0.422178814821939,
      0.622482882446313,
      0.593186231580222,
      0.676962758856295,
      0.676991865363281,
      0.551684933033215,
      0.564538089583293,
      0.668911946156967,
      0.735772266527709,
      0.617929167929892,
      0.694963929539093,
      0.649092103550421,
      0.669851460469414,
      0.51921793461907,
      0.682803978812721,
      0.500094397878161,
      0.726773981275449,
      0.684343939496045,
      0.659415084542595,
      0.512217799242681,
      0.699249579999589,
      0.60570116056769,
      0.837006353319724,
      0.70059042368213,
      0.588843262430077,
      0.578016133545803,
      0.600181904184103,
      0.487243998892785,
      0.743756270318856,
      0.884339801334166,
      0.602463667690326,
      0.650387096960942,
      0.651075250430268,
      0.524416574995352,
      0.609167186707745,
      0.614036404959469,
      0.740450724794104,
      0.793038155189143,
      0.665605693741178,
      0.567604586776032,
      0.639513547238378,
      0.727769447471738,
      0.742163157364005,
      0.67062621843675,
      0.706683455758476,
      0.597165252192839,
      0.564449640161126,
      0.472600217333517,
      0.539046068769412,
      0.718743979702207,
      0.816903810666911,
      0.842828593956605,
      0.603739717339358,
      0.504065200502471,
      0.616190164461921,
      0.534089107933156,
      0.463748697665292,
      0.664439217004064,
      0.579436967239583,
      0.599750737252593,
      0.740783402043429,
      0.53811975265856,
      0.528884994249294,
      0.580601610843941,
      0.620420463014884,
      0.802617857361533,
      0.634817611627562,
      0.702158976949827,
      0.713522477266261,
      0.651484428031863,
      0.62343370842377,
      0.682442297233985,
      0.541589327658628,
      0.598358243421829,
      0.524300231569767,
      0.620958510017787,
      0.551638967588766,
      0.55675006149293,
      0.456967900261174,
      0.671575754279418,
      0.722005571389416,
      0.50593797967747,
      0.452473249954365,
      0.561449456989015,
      0.555623295780389,
      0.538820435676246,
      0.717924994031278,
      0.61556712688564,
      0.544807994771828,
      0.767458986518257,
      0.663638704034348,
      0.553391902325132,
      0.620587131562375,
      0.804250064148205,
      0.579671995324165,
      0.513730024105315,
      0.648507826820688,
      0.521544849833689,
      0.635201621542076,
      0.575804815470362,
      0.789582684066175,
      0.622910613797247,
      0.638170015374902,
      0.748479497711376,
      0.56064249352218,
      0.676586392563516,
      0.521419945995915,
      0.65391850339267,
      0.611437944116391,
      0.643009585428525,
      0.518670203247143,
      0.633265757219963,
      0.608434243128873,
      0.466636319291915,
      0.763091027577684,
      0.600039050514507,
      0.730153178262676,
      0.673092049916984,
      0.601932929574598,
      0.572020050413606,
      0.651884723696175,
      0.550094545692204,
      0.7416802337663,
      0.578369775648538,
      0.576439191477444,
      0.647457778875858,
      0.643594997317002,
      0.584874680053436,
      0.617799670695965,
      0.569383341451713,
      0.751604412204941,
      0.545239600329431,
      0.46265946394517,
      0.575592018007877,
      0.543557092583688,
      0.690877331341901,
      0.531655193081012,
      0.632044767970688,
      0.354068616736086,
      0.407614588330227,
      0.492058831840897,
      0.678171633123013,
      0.504847060542401,
      0.576863524600958,
      0.688331654259525,
      0.465220498657822,
      0.409119926451793,
      0.533815540824036,
      0.52012745415093,
      0.612790138640038,
      0.478880140938918,
      0.447135415977538,
      0.677309232399104,
      0.493466041355723,
      0.503338573809675,
      0.574247666116274,
      0.578685675271783,
      0.484767547034625,
      0.739155488612336,
      0.868257545474552,
      0.620927247148509,
      0.63353616248069,
      0.48536974079636,
      0.676824477263729,
      0.718476049955847,
      0.563607938913689,
      0.698331590717273,
      0.560436883824913,
      0.714386883980077,
      0.405193787068072,
      0.469011698294392,
      0.587943246585998,
      0.521317948340528,
      0.666845582812286,
      0.579921751805926,
      0.508896683836445,
      0.470072985990611,
      0.750225975158406,
      0.741555240217169,
      0.644728385449056,
      0.718201546117145,
      0.676081828403724,
      0.579472848234162,
      0.436889499092997,
      0.54321538368147,
      0.730510622205575,
      0.599486961617998,
      0.56309476590544,
      0.731586359678414,
      0.584744757323021,
      0.53649113421227,
      0.664697969245473,
      0.766425314403443,
      0.618290295525187,
      0.574246677535289,
      0.520126535945337,
      0.495648836292006,
      0.657132508550512,
      0.563291826003549,
      0.787501736599432,
      0.587534116235611,
      0.562209511789796,
      0.75397926039162,
      0.612397585924321,
      0.657619423486511,
      0.59403545631739,
      0.714682201820955,
      0.633640717948587,
      0.573799557917692,
      0.674425854153325,
      0.656879487634578,
      0.605830122887741,
      0.529095985103498,
      0.729006910869219,
      0.639459407751573,
      0.67675316476254,
      0.686794892293553,
      0.524175650893658,
      0.538724903388657,
      0.662705763914298,
      0.597910795113621,
      0.518653848665935,
      0.673194158313709,
      0.470213617651833,
      0.617728908747864,
      0.610345524520305,
      0.469968579541182,
      0.639676026432923,
      0.728221584826946,
      0.614884266002094,
      0.57703196107536,
      0.527563250910639,
      0.712092485964481,
      0.596948796487676,
      0.65816485765602,
      0.620423305331899,
      0.634277380484469,
      0.563469512300136,
      0.656262419721241,
      0.760789494785333,
      0.657138915134449,
      0.732666907800433,
      0.586742695763153,
      0.602832931437372,
      0.632054651472782,
      0.478437389368287,
      0.452893179770649,
      0.363490020624391,
      0.555670723159651,
      0.490853086210981,
      0.487700719089324,
      0.427522259630938,
      0.544512449533204,
      0.408681469250219,
      0.471706365952307,
      0.539031488119413,
      0.405586325669837,
      0.488562855864147,
      0.569843000664427,
      0.335155874776063,
      0.547471494391508,
      0,
      0,
      0.219934510648349,
      0.36582915696116,
      0.29647020579086,
      0.308479807307089,
      0.336226160404955,
      0.487283548657075,
      0.449691978373023,
      0.363980186533238,
      0.358835705374448,
      0.37611821837122,
      0.277994856908853,
      0.387244102937539,
      0.482532234228178,
      0.565850012588844,
      0.264001627010931,
      0.442441925505467,
      0.378613948282554,
      0.58441532462065,
      0.330785329073771,
      0.456822851839682,
      0.491900941982363,
      0.288191438842319,
      0.476586536413544,
      0.384026030262938,
      0.455629280334582,
      0.546202605036545,
      0.586610129034649,
      0.651671240125706,
      0.727764830749227,
      0.703537770191357,
      0.480228948726853,
      0.727531680124682,
      0.535840091330121,
      0.566770712075935,
      0.46781791295746,
      0.669204943792889,
      0.667335409718368,
      0.620076373260912,
      0.547240991781176,
      0.546970994921628,
      0.573211047915296,
      0.509042179132695,
      0.579485163782006,
      0.773419511419255,
      0.5475097952735,
      0.689509844930076,
      0.545128162846041,
      0.549790215258142,
      0.666010978431532,
      0.488582589959198,
      0.751149750247326,
      0.807886689903705,
      0.578374382343268,
      0.625019595787246,
      0.455797047538155,
      0.428879408530018,
      0.65968246069748,
      0.617526916534917,
      0.681763455548871,
      0.535626739408172,
      0.595951041464233,
      0.609803454417935,
      0.504161573442167,
      0.584692840277974,
      0.627073937299281,
      0.54797119259132,
      0.704103609768793,
      0.427364997174821,
      0.527546205444811,
      0.535832058664121,
      0.579333533458407,
      0.701519348467767,
      0.633029534259582,
      0.643810384328431,
      0.629536320047126,
      0.712801569519624,
      0.468348053536637,
      0.74166503710697,
      0.603634304073574,
      0.610946475586786,
      0.644018819924435,
      0.622101872958956,
      0.440390343397943,
      0.486532525866528,
      0.567260546073559,
      0.615963599314098,
      0.582556791959595,
      0.622025894644645,
      0.638707913975188,
      0.774864762235492,
      0.549254550004978,
      0.5472432921588,
      0.570539476611503,
      0.520343676136721,
      0.567145200833301,
      0.601081169668558,
      0.46017754587958,
      0.579214693768486,
      0.533251171718923,
      0.642063798810953,
      0.648251594876828,
      0.501028813914344,
      0.569640812505074,
      0.548047263696272,
      0.567747785319699,
      0.500626248867273,
      0.510962104861142,
      0.55498048493731,
      0.576396158234213,
      0.538107081468479,
      0.520134877620484,
      0.651208485957153,
      0.505391797321763,
      0.506508020298067,
      0.713474644985149,
      0.745811735709645,
      0.606902145972724,
      0.558957719785972,
      0.585530805938611,
      0.540520237597782,
      0.395662585325993,
      0.466180300574739,
      0.528086881590613,
      0.649427613133169,
      0.422740582600456,
      0.539705138077351,
      0.603443341083791,
      0.467944380839967,
      0.528883312833139,
      0.488788969609074,
      0.659398476753357,
      0.456600996892822,
      0.584190348415551,
      0.436116921926032,
      0.665688050128647,
      0.591454288198858,
      0.456983626514223,
      0.716085268060891,
      0.632966189264631,
      0.584863227534347,
      0.508030359284949,
      0.507783689805235,
      0.572294036969714,
      0.546065619156856,
      0.588926421354605,
      0.549875681213771,
      0.556766652130971,
      0.591672943504808,
      0.635067952891394,
      0.551939313644546,
      0.658582737157077,
      0.574967904725727,
      0.531432821299617,
      0.661783218255625,
      0.666783035343866,
      0.624137462003491,
      0.582454433217516,
      0.535024429846188,
      0.654915888239052,
      0.548112262543249,
      0.597305508079629,
      0.602318207702937,
      0.660638555051536,
      0.515830598607582,
      0.57071313866232,
      0.681036494947662,
      0.546778366536392,
      0.617484842265757,
      0.596706942572681,
      0.553619100382824,
      0.568629548725601,
      0.480421618715829,
      0.74348638700474,
      0.637708529967698,
      0.536324109962435,
      0.640994801616501,
      0.677018709682743,
      0.436668183221104,
      0.526256671804879,
      0.619601179814078,
      0.589170837188196,
      0.64111075777297,
      0.599718406401751,
      0.549425090530537,
      0.564107577093922,
      0.582461401446102,
      0.546209365063207,
      0.66504613379127,
      0.669893906840088,
      0.595238940333128,
      0.648293267341214,
      0.540155213152999,
      0.515980358356346,
      0.61163969310081,
      0.650349806134464,
      0.560099414779914,
      0.620837219635711,
      0.633656723566411,
      0.724576198860156,
      0.622639372721432,
      0.62328664417535,
      0.681176267958426,
      0.671128646381923,
      0.674243759794754,
      0.567883429472367,
      0.399263205468297,
      0.56816488097063,
      0.390063118938318,
      0.424159458889727,
      0.498382037400055,
      0.617380175989372,
      0.556352948646331,
      0.550686933200474,
      0.610687259404615,
      0.508839810809977,
      0.455329095766782,
      0.558899878689852,
      0.693831517388366,
      0.614350546392613,
      0.359412173470921,
      0.486293572090779,
      0.444428700179611,
      0.487825619441408,
      0.536944972605259,
      0.588763298929787,
      0.620973069420749,
      0.362560950101554,
      0.660754798913113,
      0.449828639065682,
      0.629766237368292,
      0.636899771859462,
      0.645623422723425,
      0.640435781639293,
      0.491568891549496,
      0.411781829931723,
      0.437742572186808,
      0.434109745826433,
      0.40999236969955,
      0.516923823800772,
      0.548108498335831,
      0.732452880421141,
      0.720610398715387,
      0.558082282096191,
      0.492409564391455,
      0.635315870175054,
      0.626867509749264,
      0.574987066648904,
      0.537369718837079,
      0.5423496652003,
      0.643597769667091,
      0.383150904607988,
      0.601956714992957,
      0.529130073933323,
      0.610631380729802,
      0.554071821721373,
      0.744206694161395,
      0.573970638538799,
      0.552310642140511,
      0.492627891013343,
      0.706053581373833,
      0.546176265365287,
      0.502458349081845,
      0.642333266920634,
      0.658688100509586,
      0.498133369371289,
      0.711623227020961,
      0.799776304654739,
      0.577334422333626,
      0.595689925808113,
      0.526669010087275,
      0.536989527051335,
      0.708855141125012,
      0.562120184879201,
      0.579254482147495,
      0.739860388237989,
      0.621290981770729,
      0.55237969860202,
      0.528188711968572,
      0.594101742226447,
      0.695372451889726,
      0.682572428936876,
      0.583370333084783,
      0.557743896737139,
      0.621285291491369,
      0.568379292307994,
      0.676991517449228,
      0.680189837405528,
      0.743176983463419,
      0.676130816443412,
      0.55467890602624,
      0.560327373441613,
      0.574185577181507,
      0.549634021476111,
      0.511538391281362,
      0.749205172911701,
      0.545051163553817,
      0.546805914734608,
      0.724716569908363,
      0.518050477369236,
      0.451855171087202,
      0.57271693578493,
      0.579775274911467,
      0.727298075764753,
      0.524613790062505,
      0.483630125064116,
      0.672905573115266,
      0.625005259971821,
      0.521883791637653,
      0.63460031239794,
      0.580452758371028,
      0.513621522740297,
      0.553514187965399,
      0.566859419969204,
      0.477162113576957,
      0.607158404968192,
      0.551788583331977,
      0.655819364439204,
      0.71967006865357,
      0.500439806586164,
      0.457289655826389,
      0.549424832534881,
      0.559912426443213,
      0.510286054630017,
      0.670443237602625,
      0.560315665827257,
      0.493271148236228,
      0.76577616269832,
      0.61542344831344,
      0.453335389330621,
      0.562459354793972,
      0.72268134725906,
      0.66426800593516,
      0.468210665833351,
      0.509633466038293,
      0.537591672665521,
      0.641655647078699,
      0.47731341730402,
      0.746665533503199,
      0.558238563359492,
      0.584858989177266,
      0.733236640132009,
      0.517648853000282,
      0.614586970661092,
      0.486564679003795,
      0.510107594586655,
      0.531271929835166,
      0.658069255809751,
      0.462203392245116,
      0.61536477591445,
      0.620766584139855,
      0.524505081651118,
      0.679859175580638,
      0.581402623230766,
      0.668102851179779,
      0.527209779357779,
      0.527401697661151,
      0.606133054283463,
      0.603245886420912,
      0.532321236533147,
      0.637952468648063,
      0.636691714344187,
      0.444527261997952,
      0.617704028798906,
      0.575911429626721,
      0.547414776655255,
      0.585840301953993,
      0.537639835173709,
      0.756603674016718,
      0.526735000488963,
      0.41078729186572,
      0.444168079989431,
      0.64630745681603,
      0.661207816638986,
      0.522648217021681,
      0.54123403085965,
      0.278339866951106,
      0.434500431703805,
      0.410063930549648,
      0.636933713207297,
      0.657719494264481,
      0.49570759957076,
      0.706937819097868,
      0.497760462247201,
      0.409187512086582,
      0.501749760092714,
      0.468851240953908,
      0.494213462955616,
      0.3260916782909,
      0.596204437242115,
      0.633088597028421,
      0.477616021470471,
      0.475406215653387,
      0.562516428858876,
      0.493581822695338,
      0.407737664977736,
      0.859611522644711,
      0.858962697227687,
      0.557480072687486,
      0.694167578124487,
      0.431126358908859,
      0.52954320391885,
      0.609678018137693,
      0.566835361085101,
      0.538701779394344,
      0.509189756968993,
      0.60813409292498,
      0.40304254016086,
      0.480722805933032,
      0.564129602433643,
      0.511225583930642,
      0.699744441760053,
      0.656730746901596,
      0.522074494660603,
      0.429947574442584,
      0.616923673754094,
      0.622207469073426,
      0.439926767777959,
      0.641537487757142,
      0.544986400061822,
      0.54373910032619,
      0.549704342011816,
      0.57688598522555,
      0.622560338827503,
      0.496235363437622,
      0.462357374401519,
      0.717433748615112,
      0.616927474253564,
      0.494445604460733,
      0.631236020531527,
      0.705864807397408,
      0.722149787441538,
      0.497696176445811,
      0.515158978696807,
      0.536438243901219,
      0.667288393098595,
      0.44594058589818,
      0.750571494508929,
      0.536077739246588,
      0.543273980260382,
      0.77019962807104,
      0.595697439562435,
      0.587550652724082,
      0.519578722959239,
      0.567448230389469,
      0.593655161656177,
      0.581255786907374,
      0.565853345211339,
      0.609293759951189,
      0.618009278866516,
      0.414736429830239,
      0.719952914570084,
      0.589261525235571,
      0.634239609137849,
      0.527547306064866,
      0.489465523451844,
      0.571322329429132,
      0.598398877770834,
      0.511763875218324,
      0.521953313049843,
      0.592946944915632,
      0.515444900247396,
      0.634851474257394,
      0.573804650286014,
      0.444594768162458,
      0.62858869626945,
      0.67485257415459,
      0.609201306064111,
      0.557185080312183,
      0.553044904048454,
      0.708715707252658,
      0.553514703982752,
      0.603669136366042,
      0.540294436210101,
      0.663233788429542,
      0.532325583936104,
      0.491057448297026,
      0.701830096781716,
      0.536554222552085,
      0.654136400265456,
      0.60689522544283,
      0.492476225863334,
      0.654867570606241,
      0.503652730324023,
      0.465499595875055,
      0.415475246459275,
      0.579354568813864,
      0.51211932640114,
      0.535186488371622,
      0.499738551013799,
      0.585067101592781,
      0.408674556884656,
      0.52122217805029,
      0.575559774988161,
      0.358599885358857,
      0.467012422808514,
      0.542574436222485,
      0.339484736950091,
      0.541775339030256,
      0,
      0,
      0.286236198669163,
      0.337708496070992,
      0.395638161819248,
      0.306861756853936,
      0.338827762519957,
      0.407401656719625,
      0.330935720195142,
      0.26484354764323,
      0.25209265160715,
      0.349450052789327,
      0.329232028505345,
      0.372129497195801,
      0.425408041879993,
      0.551249767156508,
      0.2803749472936,
      0.47110912144758,
      0.282231525169346,
      0.596522286016133,
      0.36205958939605,
      0.519041831055894,
      0.470626919167166,
      0.33120922625823,
      0.467764063082301,
      0.298617620657218,
      0.42670942922777,
      0.604735163909723,
      0.638923044949281,
      0.674746040448851,
      0.611565532241143,
      0.487329194638891,
      0.429356628287826,
      0.59002963842064,
      0.441727245438784,
      0.540385578166361,
      0.461463089377075,
      0.739730855917999,
      0.507101292605211,
      0.519039997710059,
      0.432254294385323,
      0.523916546311284,
      0.506226569938515,
      0.528796755758831,
      0.571707931635931,
      0.609494431479857,
      0.488996198172529,
      0.474868904512123,
      0.528910937493671,
      0.473661423214303,
      0.58269840273142,
      0.494245529564625,
      0.774703977512204,
      0.677938694480163,
      0.451983734240546,
      0.537776484317286,
      0.505990624302937,
      0.473034029273975,
      0.697774708121432,
      0.535964632945738,
      0.631591385065595,
      0.413657956556959,
      0.483570926413936,
      0.565826636693272,
      0.512023941182303,
      0.482987691242841,
      0.551494657188981,
      0.467029832878155,
      0.537046714780224,
      0.40186138455667,
      0.394400053706222,
      0.49876425757133,
      0.565428682830499,
      0.527568261974994,
      0.597697189555226,
      0.608941240756992,
      0.543446130182268,
      0.46857362999655,
      0.44990422781193,
      0.741063042840299,
      0.544540889985144,
      0.423865871142156,
      0.548414065547813,
      0.546562901974301,
      0.401400533929257,
      0.540293507369386,
      0.608114631553005,
      0.568090212867891,
      0.529503419395722,
      0.596872415507435,
      0.58811669987273,
      0.552670753619463,
      0.551189277108519,
      0.545654750387492,
      0.591931171808626,
      0.505708699155443,
      0.463443678047892,
      0.600317993073049,
      0.529429036183866,
      0.639298812721226,
      0.551619373430068,
      0.565285117589063,
      0.740139128712737,
      0.529816070330396,
      0.471997933841499,
      0.464341451255216,
      0.643212520729259,
      0.404965861133326,
      0.44177456289614,
      0.567344877858304,
      0.562438279898712,
      0.520423857736666,
      0.457936267135043,
      0.595494928195791,
      0.495025198908866,
      0.598967733594326,
      0.523042455902303,
      0.597054056280379,
      0.545184617913275,
      0.392232008651357,
      0.498013407141348,
      0.445148392463444,
      0.398864407918895,
      0.454370903886343,
      0.447911279691698,
      0.560804738799967,
      0.332584394025954,
      0.53236652627138,
      0.506263803080465,
      0.432005036877969,
      0.527136134600249,
      0.52966378782169,
      0.669675093571784,
      0.420785622228468,
      0.629874749417723,
      0.497576989872922,
      0.692840850545484,
      0.481136494576762,
      0.47123020714356,
      0.513390055704787,
      0.630614620892034,
      0.511923351599674,
      0.522074140351405,
      0.501636593836084,
      0.509084727543154,
      0.506497143438464,
      0.656445908190355,
      0.549931670695868,
      0.46263720608456,
      0.522120586920884,
      0.482164890465334,
      0.488670022799223,
      0.625989251871276,
      0.538336096363351,
      0.419365673925126,
      0.593682951673376,
      0.640258566931536,
      0.504179848302507,
      0.473691193857067,
      0.551031689247962,
      0.649276354682881,
      0.61170056570432,
      0.599153380788954,
      0.582185548506134,
      0.598279887990648,
      0.535120530388533,
      0.547362867166153,
      0.69087249459633,
      0.51833852363618,
      0.516038033813283,
      0.585193592632912,
      0.531901745116801,
      0.538339174300186,
      0.514824826126116,
      0.684057560078167,
      0.614444156957075,
      0.62345150378836,
      0.60047104602843,
      0.586405228768842,
      0.411973687568196,
      0.465719523364232,
      0.672647021339854,
      0.617942281454358,
      0.462834068648106,
      0.599348947721174,
      0.531159533824178,
      0.581416800946168,
      0.543442752205103,
      0.530810292394584,
      0.602952693866624,
      0.577307479390732,
      0.602713619857008,
      0.642236520297214,
      0.490515820986639,
      0.494150244636583,
      0.646567145716219,
      0.640962736712289,
      0.541896327614516,
      0.510094288646561,
      0.482524469144546,
      0.654679659128068,
      0.528386072261635,
      0.559881301468003,
      0.448206320378403,
      0.448193358291831,
      0.585083373964772,
      0.518220112693116,
      0.369069438583429,
      0.485943921501537,
      0.450012443679988,
      0.396880346782611,
      0.461436546132728,
      0.564298978189021,
      0.496931014729619,
      0.444359276851859,
      0.501928464899768,
      0.499660364562381,
      0.501287018939104,
      0.486159825545429,
      0.631615324996434,
      0.5703788209766,
      0.333605949135756,
      0.320109076726938,
      0.46699319047499,
      0.507232100250567,
      0.543832208523823,
      0.551145327781127,
      0.4986992598646,
      0.435229732582408,
      0.579279635917384,
      0.412967648556946,
      0.416098206004677,
      0.373345238445354,
      0.504899635992454,
      0.528248817056272,
      0.516883481238805,
      0.363731548482229,
      0.376438689274324,
      0.401463199596847,
      0.460521421049059,
      0.403077240035862,
      0.474162985692643,
      0.696577215982901,
      0.567908537616336,
      0.544131186363731,
      0.468868244811546,
      0.505096414383486,
      0.468171278301296,
      0.541460850093494,
      0.412723338491614,
      0.564000014447264,
      0.67760880330222,
      0.429461758041423,
      0.608989323720522,
      0.523996494947083,
      0.424403412736495,
      0.51876565560078,
      0.648462333286997,
      0.601937337418595,
      0.419106548375799,
      0.448718682994279,
      0.563085976713834,
      0.461917952683678,
      0.511060899787567,
      0.50286973018344,
      0.632972296539973,
      0.434999440293518,
      0.700322853826417,
      0.554286813095676,
      0.469950491856429,
      0.591558099191924,
      0.508142373161864,
      0.535425721081989,
      0.685298972922888,
      0.467418920246047,
      0.527500156724848,
      0.714929301790885,
      0.646151510668135,
      0.524188004607533,
      0.579934277462478,
      0.547660456610229,
      0.683352111980032,
      0.446059587710428,
      0.529249778639131,
      0.546986192422252,
      0.560973727873653,
      0.492307240582436,
      0.683757447188322,
      0.600224342771064,
      0.63645160863956,
      0.503069038023513,
      0.562894475917235,
      0.550098338584303,
      0.421826852775384,
      0.495874821334901,
      0.518434780475138,
      0.699923987361197,
      0.539055604422735,
      0.568797447151248,
      0.616764686779494,
      0.582254251844179,
      0.517090370912535,
      0.489193585666881,
      0.54388456883781,
      0.61878017805447,
      0.535562581545964,
      0.509189494197582,
      0.440614742920091,
      0.469241102448446,
      0.544908371468009,
      0.575090814509717,
      0.608454098769223,
      0.459546142669276,
      0.488209857327453,
      0.467940345992912,
      0.514209340229583,
      0.580503595890183,
      0.521749826686946,
      0.591487318780558,
      0.717295831287204,
      0.48118635571753,
      0.371371265134555,
      0.53972546624005,
      0.434369948197505,
      0.438377836696646,
      0.595487914303269,
      0.539734796687366,
      0.559695951538413,
      0.632114091922378,
      0.530910222851861,
      0.513238556308048,
      0.489022227765067,
      0.557602059695688,
      0.707209407737742,
      0.388786832926791,
      0.491208635232308,
      0.603335943488588,
      0.601907127728211,
      0.478748537987674,
      0.576818658925687,
      0.546622193278732,
      0.597080333128929,
      0.558810551012812,
      0.395276946465492,
      0.640446195985652,
      0.489765411269397,
      0.50762046262086,
      0.424849041793281,
      0.610154564592167,
      0.450648335611937,
      0.666558716121137,
      0.514552397889441,
      0.474868534192352,
      0.583154823438138,
      0.555668534076125,
      0.446174131402957,
      0.482694266544251,
      0.520648939925762,
      0.673873844983968,
      0.623121145014153,
      0.500537742797838,
      0.563056272182336,
      0.539277188106335,
      0.459575130147833,
      0.611101175782763,
      0.653914311053302,
      0.503646918643844,
      0.517229024794025,
      0.518196031805551,
      0.616435711609026,
      0.311815102578952,
      0.422309315196991,
      0.271468828483891,
      0.647968555906586,
      0.561518366726554,
      0.546188357555941,
      0.498220375767001,
      0.293943275957331,
      0.405692754331479,
      0.377344240409951,
      0.58165403797368,
      0.684570933426412,
      0.447191148565333,
      0.614957602401783,
      0.471554942333942,
      0.461668321911481,
      0.506107536748414,
      0.456433320224892,
      0.48960993206797,
      0.2876678183729,
      0.747106348931612,
      0.586259154710088,
      0.53002008801788,
      0.469240231623464,
      0.511456792141422,
      0.492673441936859,
      0.380744418898803,
      0.811207492459436,
      0.690180952165468,
      0.465631933683494,
      0.714215725448159,
      0.482513162461212,
      0.389277780941317,
      0.51093127321595,
      0.52375351870713,
      0.461827238759814,
      0.506572333995349,
      0.494992622029692,
      0.409219112872094,
      0.591465151792924,
      0.473564261941726,
      0.485859708617998,
      0.680567767902002,
      0.626274818922078,
      0.513355122901993,
      0.446296031932963,
      0.48499191952209,
      0.582201860822221,
      0.424099468308356,
      0.517865184629541,
      0.434067734846586,
      0.555533732873228,
      0.551679876268372,
      0.539405109336331,
      0.619086867571492,
      0.471960619587117,
      0.559736203068888,
      0.622086443397814,
      0.526296921916424,
      0.508302578948077,
      0.557280832303854,
      0.537606606529043,
      0.738858616988427,
      0.44095818303342,
      0.430840282115085,
      0.595149126817066,
      0.596470437816726,
      0.416900487268479,
      0.592389533194497,
      0.529855700097491,
      0.582554671778488,
      0.642697797596705,
      0.48193122874574,
      0.600320377286716,
      0.471926217381372,
      0.589326456544271,
      0.466282899130156,
      0.584224298809403,
      0.522378169169855,
      0.657824024721999,
      0.556920466438287,
      0.3779723211902,
      0.55207532200014,
      0.612021993493022,
      0.585891363962853,
      0.531161496193468,
      0.514307570095768,
      0.657605809308458,
      0.617866396196335,
      0.436309444323315,
      0.523877285896292,
      0.520820015830218,
      0.466345240469503,
      0.614443468061664,
      0.590011505406131,
      0.422992349271237,
      0.562138180054816,
      0.630335031738481,
      0.54303583799232,
      0.476541426518499,
      0.553454923155324,
      0.630617178463724,
      0.621788552619329,
      0.613431229431948,
      0.577312368389774,
      0.602392799519991,
      0.510945602128492,
      0.462798452274755,
      0.674738411210598,
      0.500108196406672,
      0.526284120875713,
      0.588275370187151,
      0.526174815904923,
      0.520462128414184,
      0.499541220429462,
      0.375416699130983,
      0.343246140632591,
      0.478105468879093,
      0.418643493470558,
      0.467538597333658,
      0.431910897948551,
      0.499277155067269,
      0.365246142581257,
      0.458843976324133,
      0.498316534028425,
      0.43352637267466,
      0.464120576572383,
      0.533557106516392,
      0.384112291664434,
      0.555088339841511,
      0,
      0,
      0.29754741552425,
      0.433171461352432,
      0.380564627848347,
      0.255627096568051,
      0.298190373154687,
      0.438016215820091,
      0.384272921902552,
      0.311551972511739,
      0.313656731777733,
      0.435869361954807,
      0.319532636106464,
      0.39733371798955,
      0.410957255247675,
      0.608390105679217,
      0.368437013478683,
      0.501059358339764,
      0.436715072574181,
      0.619907908908672,
      0.38386632169623,
      0.55727144706982,
      0.539635603355274,
      0.364056055513357,
      0.479938296176121,
      0.449533225051839,
      0.443173160105524,
      0.561838604611758,
      0.591254028887274,
      0.680359712773133,
      0.533554285437916,
      0.470013630576596,
      0.453730719339148,
      0.439334221012933,
      0.463364755950446,
      0.49702969026985,
      0.461394977656773,
      0.677797999516539,
      0.465104103801198,
      0.457697420003021,
      0.385289644137311,
      0.546748384761621,
      0.501448867047027,
      0.554439695247834,
      0.611924476891602,
      0.495920405707122,
      0.560095769832973,
      0.465361962210181,
      0.528907224817339,
      0.526192264316191,
      0.518021843552846,
      0.569187698124699,
      0.589643019808491,
      0.593745218723069,
      0.445754302457121,
      0.494923006213072,
      0.514534775008706,
      0.449970612913115,
      0.568174842165328,
      0.477794841373037,
      0.599788019986574,
      0.394673020577688,
      0.535292005355984,
      0.472979317630014,
      0.538380416297249,
      0.447799954601087,
      0.530315448491846,
      0.479787201404195,
      0.50226022963239,
      0.374510320489796,
      0.460501690853002,
      0.492045132713995,
      0.543971566817689,
      0.482074962354387,
      0.554373020810737,
      0.596439491262386,
      0.54012537120565,
      0.445544932406083,
      0.463156456559699,
      0.701311882756662,
      0.554287532586428,
      0.480171118742429,
      0.466301952659968,
      0.446668634183383,
      0.416786651907061,
      0.460238035817509,
      0.58704271951908,
      0.555101186732988,
      0.570360316918689,
      0.566499888416523,
      0.524971211508762,
      0.419625614224661,
      0.534051805455766,
      0.570931508983316,
      0.515685693715653,
      0.476990939980699,
      0.503945653541158,
      0.57065431041433,
      0.499947044340461,
      0.628456977242586,
      0.566916555945598,
      0.465620884894298,
      0.694186044441711,
      0.575117126641909,
      0.441625332552972,
      0.510003742798982,
      0.622567832565198,
      0.482074386241483,
      0.446923691883673,
      0.5058161183868,
      0.594602555936368,
      0.454606003802798,
      0.456196109091093,
      0.572179094797806,
      0.514879672275736,
      0.721226057321793,
      0.491181608487417,
      0.560460998233165,
      0.493207776122933,
      0.443833833343879,
      0.53012266049107,
      0.352494872243054,
      0.485028595966798,
      0.445051717097727,
      0.476148702812438,
      0.550320001408524,
      0.334527918202298,
      0.525626057776243,
      0.515303637623455,
      0.384890710463633,
      0.5435861089768,
      0.55492170285906,
      0.543815390472932,
      0.441474173591463,
      0.602442366015997,
      0.548956198861311,
      0.668713156924249,
      0.54593559840761,
      0.458266584393787,
      0.497897812477057,
      0.596212624414858,
      0.568402677396606,
      0.479762732611657,
      0.490826919682631,
      0.536109105576894,
      0.542291196239212,
      0.607102434860919,
      0.5736166296706,
      0.488125554319143,
      0.468916584280297,
      0.48805097581556,
      0.526228862500035,
      0.588807689313969,
      0.589734852852465,
      0.469458721803672,
      0.553540675693348,
      0.655210155039221,
      0.464991042208471,
      0.518221042881579,
      0.595919884969367,
      0.606535489283532,
      0.562017304385293,
      0.614374439489165,
      0.543154223216726,
      0.574422777523404,
      0.450314165680994,
      0.544730519017762,
      0.716528295522628,
      0.48416753357687,
      0.53536646017443,
      0.54871048379745,
      0.535738231912235,
      0.615362645358488,
      0.499087182234853,
      0.6119840625428,
      0.585298646126377,
      0.534147398647094,
      0.601880349780734,
      0.553087864616126,
      0.466956885603313,
      0.487268904935737,
      0.663122207282714,
      0.585232781554068,
      0.461086831637781,
      0.58409545791628,
      0.609805310241212,
      0.576940996598508,
      0.507459609016122,
      0.486303612886368,
      0.597153124055201,
      0.546143306548245,
      0.517208664262492,
      0.589711448776551,
      0.453525081601663,
      0.516462216604163,
      0.663513242378234,
      0.56489766096437,
      0.454744658793605,
      0.475607032538777,
      0.509617503543141,
      0.541758970443577,
      0.512001641455954,
      0.509392314559568,
      0.449978164262491,
      0.388759097658957,
      0.563850296635633,
      0.538141814490053,
      0.387088942347956,
      0.486205749118076,
      0.479395128410625,
      0.37919735935196,
      0.420396843370122,
      0.602546076581163,
      0.515653817310184,
      0.436817596743496,
      0.494041612708565,
      0.52776466790322,
      0.500576975086655,
      0.409467136358032,
      0.490240275252098,
      0.55813333266898,
      0.425764186246401,
      0.49728512163352,
      0.541464351496874,
      0.43183170045161,
      0.471428954408625,
      0.547341373276246,
      0.531262175075006,
      0.430507647857746,
      0.462667588016018,
      0.448078986938073,
      0.450634470698431,
      0.347953820652584,
      0.501129595034101,
      0.577960600330645,
      0.565060033212305,
      0.431114451749297,
      0.451072789867528,
      0.446406225873782,
      0.44325703982203,
      0.395174648985991,
      0.401015289633045,
      0.577104505124535,
      0.487038749829474,
      0.526812342826836,
      0.474092748181573,
      0.476518344451657,
      0.55039840041376,
      0.527220057885317,
      0.421084118429166,
      0.557759832316213,
      0.711478556457983,
      0.431742008060298,
      0.561873634565593,
      0.444817489034878,
      0.39159506433291,
      0.483883107026746,
      0.407718920914197,
      0.646623870608484,
      0.415650529211483,
      0.455598192298916,
      0.453718682116171,
      0.497441707161376,
      0.452521754183951,
      0.384594676085591,
      0.579097302855841,
      0.471807359029607,
      0.693491983468284,
      0.482160750288944,
      0.514086712325235,
      0.547399593247905,
      0.505749754870149,
      0.527618926572744,
      0.57753565549835,
      0.486962966942754,
      0.457460038471961,
      0.689098311979017,
      0.609054458968957,
      0.495562960085566,
      0.543366247255549,
      0.518340000787358,
      0.691642443773435,
      0.428986441202468,
      0.470985789907083,
      0.573819511884538,
      0.467785345789936,
      0.442573753148357,
      0.573991464427413,
      0.572212016226247,
      0.541259698919852,
      0.523218895591062,
      0.520810197057941,
      0.474041473438754,
      0.448450801291473,
      0.494874527664873,
      0.502234008995183,
      0.595999174716995,
      0.475468827224967,
      0.594776394521696,
      0.550406264980162,
      0.629464156147015,
      0.54243572539769,
      0.513436933545309,
      0.537057592459114,
      0.56682617604076,
      0.572055525032863,
      0.505016935663948,
      0.459106454144797,
      0.475587500731165,
      0.56144812991267,
      0.539161493600315,
      0.614681412107915,
      0.491746944276922,
      0.541049377682923,
      0.513294100761716,
      0.553363461761789,
      0.547611295788331,
      0.499781032970882,
      0.640213857605931,
      0.556726468096115,
      0.522992785057181,
      0.393054978277832,
      0.603939776330795,
      0.487892979519398,
      0.336075613374975,
      0.568597236497099,
      0.599269376677219,
      0.600303840832264,
      0.556104863146659,
      0.50815403081904,
      0.575660586164393,
      0.451890117167704,
      0.534230153613595,
      0.628405515474737,
      0.418710856281613,
      0.474291787305159,
      0.558844761021804,
      0.525320635961,
      0.430784335987682,
      0.609716534126316,
      0.508480801570055,
      0.582940601217346,
      0.483190754344068,
      0.494988246299846,
      0.664366473683765,
      0.441821684790572,
      0.467915134743103,
      0.437322961330324,
      0.597150787693012,
      0.517279729989077,
      0.611085779311063,
      0.518352824701084,
      0.552640244649975,
      0.531896891844554,
      0.579563257842613,
      0.529858705864463,
      0.496011290916168,
      0.574510299583051,
      0.580146403016911,
      0.647398019293877,
      0.461165109832156,
      0.517538278998139,
      0.578867384404995,
      0.49160834797329,
      0.598833305172175,
      0.647186253537779,
      0.502120439144971,
      0.564448133848335,
      0.527085319495379,
      0.542987950963201,
      0.329753626878059,
      0.401324863568717,
      0.368489901354367,
      0.598333901038942,
      0.554486749308161,
      0.529536522973189,
      0.451599433361286,
      0.625680091719154,
      0.393032574980762,
      0.382940823813973,
      0.596336330591363,
      0.662112221228812,
      0.501293169423675,
      0.577529801712084,
      0.422454125645703,
      0.471701681893816,
      0.404475195815706,
      0.419161614125585,
      0.497986673524376,
      0.379173870776133,
      0.739720724196434,
      0.641167064418867,
      0.789290943403831,
      0.561615178390226,
      0.551797358381568,
      0.534464285370329,
      0.462468526539231,
      0.621530840769407,
      0.605254803703808,
      0.507583759046441,
      0.665053740986308,
      0.51434493331674,
      0.373028027715939,
      0.509631012076263,
      0.575893431768014,
      0.426366050597339,
      0.405373307880368,
      0.498694263888747,
      0.419821021697281,
      0.628406515499474,
      0.549514969266246,
      0.555007910787518,
      0.565792903883561,
      0.567295320014963,
      0.586608280073315,
      0.517241658073309,
      0.468156045467471,
      0.56995017111145,
      0.529742504747837,
      0.466695903444908,
      0.490456531524086,
      0.61764710056676,
      0.495181933130027,
      0.555246459342195,
      0.621793280152343,
      0.410209593383647,
      0.582513181931536,
      0.509163894687049,
      0.517766126828044,
      0.470398136209078,
      0.439489937663333,
      0.573183540670465,
      0.620841268442604,
      0.459914713752153,
      0.498173529087457,
      0.578603588623833,
      0.520185598701931,
      0.347685403998291,
      0.529698956751802,
      0.528606178287725,
      0.516335000061963,
      0.468550737580143,
      0.535060680560617,
      0.638455364207229,
      0.551938130157983,
      0.561729197828364,
      0.450912677908,
      0.597172217851029,
      0.614741431741537,
      0.601535005506653,
      0.556798292289699,
      0.391761469639313,
      0.552732007008537,
      0.54358041588283,
      0.55953545248635,
      0.511253458438568,
      0.562642527352006,
      0.574060137974323,
      0.634188788500578,
      0.461598303667357,
      0.487044903013686,
      0.43892638082428,
      0.490518989048884,
      0.5887627249814,
      0.580428779999361,
      0.466235951148557,
      0.524462952200833,
      0.650600905633597,
      0.506562265909215,
      0.536237255237728,
      0.54543673139469,
      0.606916225503167,
      0.525047116563796,
      0.633358403286364,
      0.588330388090435,
      0.54921175443534,
      0.439167419973598,
      0.470465365235392,
      0.709828433388994,
      0.488129496800424,
      0.526113659699085,
      0.551227751745129,
      0.514143866346808,
      0.553337134904632,
      0.501638750853045,
      0.423621994284319,
      0.459675951333273,
      0.547414363822308,
      0.487620420622872,
      0.454423019723389,
      0.48218258576015,
      0.539104808096109,
      0.381263436826754,
      0.49484081472085,
      0.560455885609097,
      0.384021022632895,
      0.448922659555375,
      0.529153608845324,
      0.434340401303776,
      0.501125675203127,
      0,
      0,
      0.244056361269593,
      0.420289165678917,
      0.356917921525803,
      0.239614534825193,
      0.248168148778852,
      0.432712186108311,
      0.349964123904659,
      0.312532329182776,
      0.215511321304962,
      0.379342111286463,
      0.277478486724796,
      0.335355298175304,
      0.441215737349083,
      0.669600062475157,
      0.410954348544281,
      0.520467918018943,
      0.434620303200793,
      0.595971949923659,
      0.445046932821917,
      0.564179310544571,
      0.5379261402114,
      0.354355642110581,
      0.496261840550014,
      0.43068033628522,
      0.467749678567394,
      0.580410817001404,
      0.615417627344419,
      0.680002872053984,
      0.548901580934727,
      0.500565444866296,
      0.397747809941944,
      0.425105558970149,
      0.46541866456953,
      0.465916340361211,
      0.477013977629494,
      0.605759992834244,
      0.47013194206077,
      0.498270764986284,
      0.39443012937639,
      0.470685370557802,
      0.523790957612478,
      0.570993658516799,
      0.5415959379589,
      0.470638293374206,
      0.625041969378181,
      0.477499355760518,
      0.47740644537227,
      0.539163461351633,
      0.633489368129274,
      0.536525274522022,
      0.4457844414475,
      0.630328769430051,
      0.406238733021927,
      0.528545408096447,
      0.454936124110857,
      0.413094949297611,
      0.650515374127231,
      0.505451104495754,
      0.589161868517813,
      0.307165066717141,
      0.569514356022408,
      0.486720811228808,
      0.465857880428589,
      0.483621266410507,
      0.460029545416046,
      0.518695898451897,
      0.48439683137716,
      0.478412829016938,
      0.413421867328635,
      0.56656706928046,
      0.528122652550961,
      0.494146389892776,
      0.584357711895893,
      0.602151661134457,
      0.518254216289648,
      0.480980529625545,
      0.492623966940599,
      0.69119211185506,
      0.569418813250766,
      0.536939066352403,
      0.428885727884442,
      0.471465841370834,
      0.38627869421122,
      0.522250150500791,
      0.624639885390601,
      0.540104169867111,
      0.567302462430864,
      0.54258884687615,
      0.47579507071802,
      0.375935260517795,
      0.568941360703309,
      0.626196436260554,
      0.517722258709057,
      0.388590726641802,
      0.48680389552148,
      0.530175245453537,
      0.486121961913717,
      0.599974886149518,
      0.604442633124641,
      0.506487733213483,
      0.586803050695701,
      0.578592480865595,
      0.512408296949064,
      0.496539492534752,
      0.641787464703527,
      0.534155227032017,
      0.460030063932111,
      0.416096150719529,
      0.569580220482489,
      0.484950975351143,
      0.438216550379624,
      0.619342060601661,
      0.473248846571379,
      0.68060120610541,
      0.441197847195566,
      0.515020484102675,
      0.52027246370293,
      0.445725791281876,
      0.478738570770653,
      0.406308354862733,
      0.514939020023145,
      0.47644097678213,
      0.462651979063566,
      0.503668770576108,
      0.346224914987066,
      0.511900529288008,
      0.498691635217487,
      0.446417991718384,
      0.517625602892096,
      0.473535448945309,
      0.622740790885804,
      0.493570367039473,
      0.657656534090476,
      0.695576401740281,
      0.562895397099824,
      0.550080612379393,
      0.523106847539965,
      0.493172192963088,
      0.532098422988658,
      0.501152714764022,
      0.541204096137602,
      0.477901840734696,
      0.501790736758958,
      0.513639386718505,
      0.614158780464273,
      0.597534603225851,
      0.483233359725841,
      0.518538232977904,
      0.414225156249631,
      0.523247641790656,
      0.654656971807329,
      0.522278702209699,
      0.402871654512,
      0.551948593171261,
      0.644808799267294,
      0.504084207682719,
      0.549896573957233,
      0.615824552566173,
      0.559123852930533,
      0.564141690563317,
      0.640020791005586,
      0.569703172826727,
      0.557463191851299,
      0.464791397408459,
      0.586567517078527,
      0.619407377412893,
      0.455805247393354,
      0.512224176462753,
      0.545569109411312,
      0.535705799829446,
      0.624045669732271,
      0.503227200893003,
      0.65706838592828,
      0.528238412544764,
      0.501668833784612,
      0.624665746048443,
      0.564826282236733,
      0.419052007761266,
      0.487083759121883,
      0.58080553166242,
      0.575036741040461,
      0.433286194152435,
      0.527305370215739,
      0.593576137701417,
      0.519446869402146,
      0.539707265547187,
      0.552292697118761,
      0.566710279958403,
      0.558746945963793,
      0.489316034282399,
      0.51130379618337,
      0.449040062578049,
      0.547724377089672,
      0.619187615489892,
      0.551993811110829,
      0.533125226066792,
      0.567494184856052,
      0.482706330177618,
      0.450638349041276,
      0.455774561852905,
      0.449198917632163,
      0.429615009485077,
      0.377550072673054,
      0.618159250857539,
      0.55830338186772,
      0.410349798763254,
      0.487129518878099,
      0.456885063605331,
      0.364558881853933,
      0.399504015569654,
      0.628741429521478,
      0.52688970554945,
      0.457024563500515,
      0.51756307314369,
      0.574529705966838,
      0.513485718467408,
      0.432973877938569,
      0.541821080659486,
      0.633400692984462,
      0.435402665346419,
      0.499759717526017,
      0.506632747487431,
      0.418809761048987,
      0.461562134564963,
      0.543317282371093,
      0.519934016133291,
      0.409366281097406,
      0.385984001531686,
      0.435136893172016,
      0.455564673067467,
      0.361296195105655,
      0.526439070150039,
      0.640271525026487,
      0.486491131867379,
      0.450395301651824,
      0.443307657243614,
      0.43453857672554,
      0.397931739421947,
      0.433144084187477,
      0.406800040473007,
      0.457455176471386,
      0.508896269699002,
      0.555169721058938,
      0.507068458010305,
      0.510212718124778,
      0.614968643692735,
      0.576676623056715,
      0.486915415783555,
      0.487064930447211,
      0.713968085654362,
      0.315365370044022,
      0.498308345313132,
      0.435807348451637,
      0.445337813131728,
      0.476102242681079,
      0.490049996121394,
      0.697409530391268,
      0.395599358974948,
      0.473953323780756,
      0.456683390814682,
      0.519943348061018,
      0.461289647332052,
      0.433835030577019,
      0.592279655767818,
      0.460701223642456,
      0.681015071425458,
      0.43500336390266,
      0.547154221261098,
      0.496219370137948,
      0.571408982165564,
      0.544543081698735,
      0.549107026633004,
      0.525561209773701,
      0.495123160375452,
      0.714510015832655,
      0.65711162914739,
      0.541503351444182,
      0.488867946566599,
      0.515077657873643,
      0.690996151488803,
      0.433356252339674,
      0.498017244929918,
      0.541421356670914,
      0.43609571473758,
      0.453202807297965,
      0.524276237850441,
      0.512880130748496,
      0.453564307393064,
      0.530574686489188,
      0.543562455089203,
      0.447987433161654,
      0.468347103837548,
      0.464895956227064,
      0.547071650148904,
      0.472441238361495,
      0.542147068586685,
      0.489737475241215,
      0.557408901027507,
      0.584200218358233,
      0.489687183231093,
      0.484481366162564,
      0.541544592441872,
      0.578775334308257,
      0.615033517869555,
      0.569948611075132,
      0.418127750452706,
      0.544167820793905,
      0.57690077692677,
      0.518687419276888,
      0.615521253061438,
      0.605232861721402,
      0.529279357211618,
      0.498066827074029,
      0.491967351751091,
      0.549375942974119,
      0.567780475862494,
      0.62436418875059,
      0.472257612770714,
      0.515957001781297,
      0.371320380699559,
      0.633595736986988,
      0.494353808671644,
      0.32734537359323,
      0.647588814209782,
      0.647763079623985,
      0.596606079232715,
      0.597786766788855,
      0.441800417596679,
      0.55085764838751,
      0.496269599619231,
      0.610793713039643,
      0.566479708319974,
      0.458504355567264,
      0.486908382066393,
      0.673513276349832,
      0.503794180633486,
      0.390678616214361,
      0.621733065525863,
      0.515711359157716,
      0.598735371527995,
      0.475365992931056,
      0.425727812708089,
      0.69083855342392,
      0.396663209497549,
      0.497966878876459,
      0.516882568270567,
      0.532906801772223,
      0.519857705386141,
      0.670832890254487,
      0.511245769425728,
      0.505940040627099,
      0.575065376244681,
      0.573910663796406,
      0.560709962461647,
      0.505818380365792,
      0.634763159490946,
      0.529464907138127,
      0.651423222088737,
      0.461777107554796,
      0.620400734709188,
      0.54661830777762,
      0.503813804765129,
      0.635202081037078,
      0.632493659092056,
      0.536039128316385,
      0.514619913994623,
      0.562836925462546,
      0.434534988508076,
      0.293035302855869,
      0.375748652442161,
      0.308861375234655,
      0.433658291754774,
      0.536506376170285,
      0.493605694543203,
      0.595818826338974,
      0.715489020427618,
      0.440044946385707,
      0.46646491624596,
      0.606901463973072,
      0.551622276264161,
      0.541313162787744,
      0.483356156148426,
      0.436065851441267,
      0.504176086786694,
      0.423148157357685,
      0.429208183854642,
      0.506689113214726,
      0.376176610182566,
      0.636493258916028,
      0.562504178581913,
      0.773651410332018,
      0.508889834943728,
      0.655072406269754,
      0.520995751862789,
      0.607690115760434,
      0.686500202949577,
      0.695930950397967,
      0.483489903435505,
      0.73383474348084,
      0.51914416903892,
      0.394497028854507,
      0.59053940403021,
      0.559312295558141,
      0.403102010510196,
      0.451681706042983,
      0.491020250355792,
      0.33173800836467,
      0.533403901203371,
      0.61893140856282,
      0.562279070473082,
      0.475150999635732,
      0.579339143694684,
      0.594289759999027,
      0.507389412959736,
      0.467289887496316,
      0.619831902242263,
      0.551069362471058,
      0.416844735637388,
      0.479729683312537,
      0.630098605473152,
      0.33768826992246,
      0.482626041122208,
      0.583122812726942,
      0.442382796345725,
      0.550246542775308,
      0.332860614420493,
      0.486834064978593,
      0.386790980360512,
      0.543432392600974,
      0.568484530031567,
      0.552811153552102,
      0.515430736669605,
      0.508220660220718,
      0.604204452050443,
      0.553890757056124,
      0.404278378515593,
      0.574849469565531,
      0.559505980007156,
      0.580269638660557,
      0.513254364921012,
      0.420168689177283,
      0.640564206610282,
      0.519651522424656,
      0.624722430989885,
      0.525708869991861,
      0.613226734898989,
      0.553411047354081,
      0.604379419560755,
      0.493562806865849,
      0.37612838991713,
      0.620961268979503,
      0.567353323374922,
      0.580876827469317,
      0.517840873243891,
      0.518630309500901,
      0.550450068351899,
      0.644407608593704,
      0.452601650717222,
      0.542084733841994,
      0.430216587755469,
      0.46321905559703,
      0.627315766019475,
      0.541548620673402,
      0.393624154166942,
      0.544917776293366,
      0.64444743646448,
      0.478231101936889,
      0.568612695560404,
      0.583807280579071,
      0.579072051161825,
      0.500087133950517,
      0.651588994949451,
      0.546610628572467,
      0.558869158555502,
      0.423165455469381,
      0.520785409921997,
      0.584448645671974,
      0.43720874789368,
      0.525714963597554,
      0.571752912219207,
      0.531976405298185,
      0.571268892647736,
      0.503333956800193,
      0.384157816726167,
      0.428131315286236,
      0.514528782941849,
      0.470675857462826,
      0.460700183952712,
      0.440376368366965,
      0.562758976104923,
      0.405665538979156,
      0.474927205306987,
      0.547450065081279,
      0.394256770939865,
      0.402557000322035,
      0.520118093602113,
      0.473805439462489,
      0.528807840377701,
      0,
      0,
      0.338328421537821,
      0.391911583554154,
      0.350700312796576,
      0.206204617754539,
      0.237481725644523,
      0.376288245612166,
      0.41800942212696,
      0.333961734392781,
      0.339966421234271,
      0.276531305192357,
      0.238973039364173,
      0.324100554746425,
      0.490330981095669,
      0.615073823305081,
      0.359560020491978,
      0.398362296317967,
      0.39478990615111,
      0.559081194515594,
      0.351999346886884,
      0.566232139796598,
      0.490208334458617,
      0.318582174648731,
      0.465844773091086,
      0.292034681555639,
      0.54937660453354,
      0.579543341335116,
      0.557719143321664,
      0.65468652553296,
      0.494743871432656,
      0.425179696570317,
      0.445548407521295,
      0.38677523968161,
      0.433026107924508,
      0.403591880846929,
      0.43773552309782,
      0.534776312534555,
      0.413755615598953,
      0.47093200659267,
      0.376093177200457,
      0.322445502305724,
      0.486210319903621,
      0.569517565448119,
      0.592217210719034,
      0.533468700786227,
      0.569230306592834,
      0.478042530151315,
      0.464859736926285,
      0.494997972989426,
      0.598668182417803,
      0.492772344518737,
      0.402894583907284,
      0.535614711193926,
      0.399613676800921,
      0.537518455286718,
      0.473787469030763,
      0.391464810336067,
      0.630896046311614,
      0.47504046208259,
      0.54590667374513,
      0.326045062749525,
      0.512631609747804,
      0.570234915204619,
      0.48551299736597,
      0.433252875714709,
      0.416240799553453,
      0.631227302978729,
      0.48790764183441,
      0.488916696327573,
      0.365719318285464,
      0.538254277104637,
      0.548037397296668,
      0.495419306523421,
      0.562095479065999,
      0.644165095021044,
      0.500317337575984,
      0.474699273037123,
      0.448935246685613,
      0.665054186242697,
      0.559191739580455,
      0.452557681118094,
      0.441960914983141,
      0.44668198661222,
      0.386151826699659,
      0.538575466168218,
      0.577190791799171,
      0.483111996129025,
      0.488203361133019,
      0.533446381783002,
      0.481389795012897,
      0.40895958619929,
      0.535439045593843,
      0.644441977244132,
      0.52045848317276,
      0.369672161131204,
      0.414638515445185,
      0.497419217504877,
      0.517761415402191,
      0.537271243416289,
      0.697415332909313,
      0.43111318960447,
      0.51161311882283,
      0.754351734612547,
      0.547017978758221,
      0.494702763526039,
      0.556642627431189,
      0.534004094951464,
      0.441595264824257,
      0.482467625050283,
      0.562986652494998,
      0.452343374505643,
      0.423226890791958,
      0.552552793725119,
      0.447521616066811,
      0.417554320080199,
      0.479888992821334,
      0.440995425862452,
      0.482245794462144,
      0.401307447405785,
      0.475487899861193,
      0.414598934653941,
      0.525352574770289,
      0.42164037338998,
      0.440232205157269,
      0.469839527807598,
      0.304850197700658,
      0.477437093173741,
      0.466253227320522,
      0.431678527386873,
      0.509762225501598,
      0.541779781873574,
      0.6072862947011,
      0.405707491176727,
      0.620950098137576,
      0.707422072155803,
      0.60071101485102,
      0.681425348859624,
      0.493851946432126,
      0.477168006115043,
      0.51323952597807,
      0.509696311464756,
      0.60001721188511,
      0.486111442993283,
      0.444964109171673,
      0.491149913081478,
      0.661813366822371,
      0.580083013222658,
      0.471503323356045,
      0.461908213534927,
      0.483689800450669,
      0.471893245971469,
      0.662079723477287,
      0.559473640701942,
      0.47878635027837,
      0.597028501833297,
      0.693215447800808,
      0.560304863481496,
      0.598627949250908,
      0.588526349659899,
      0.623808439073809,
      0.604616337592795,
      0.630492008972131,
      0.528569267838542,
      0.527052256658338,
      0.401508443400645,
      0.608536198329551,
      0.543008889319245,
      0.518332983372339,
      0.484393030854859,
      0.542848058419964,
      0.57052246587906,
      0.585552008960861,
      0.524142936523133,
      0.692269199998276,
      0.593246941883132,
      0.564234727349837,
      0.652279462669921,
      0.497113466527295,
      0.449691053026538,
      0.440628690255872,
      0.615683175454973,
      0.561372560314941,
      0.500694184315902,
      0.542316215726285,
      0.622332939105064,
      0.575715400410134,
      0.494492722811065,
      0.555014011363134,
      0.612210584390985,
      0.599395941671734,
      0.528339000096006,
      0.502409467146181,
      0.475310141645702,
      0.536555400870705,
      0.599482210748257,
      0.596926472425169,
      0.505665762174892,
      0.54657518913374,
      0.447995425808044,
      0.434133798496737,
      0.428022672834387,
      0.413681529184622,
      0.351716649550397,
      0.345765595439429,
      0.554186422476958,
      0.537197262305337,
      0.407964966758409,
      0.433038528333391,
      0.414907332126937,
      0.411950098159808,
      0.362920299422664,
      0.565762161680727,
      0.451314315237191,
      0.387843145887351,
      0.472811649673059,
      0.522448225983087,
      0.447845203298898,
      0.448709660285384,
      0.528003706232427,
      0.642837782302864,
      0.420657108610666,
      0.487121937709535,
      0.498140764961165,
      0.447982022336345,
      0.467030592677256,
      0.517452258843174,
      0.439058659922141,
      0.439716573931342,
      0.339537058987776,
      0.479217894713988,
      0.39282671783113,
      0.386900887640259,
      0.474315687929272,
      0.63010941997724,
      0.425285325201832,
      0.443804711439246,
      0.489113512687032,
      0.449397738116318,
      0.398734987587897,
      0.405258462070536,
      0.467477240585603,
      0.496045187937282,
      0.489507046272916,
      0.501368254717734,
      0.478077032641836,
      0.494176609703509,
      0.58837757769742,
      0.553712819483031,
      0.481318609637122,
      0.530170297590286,
      0.689391426489163,
      0.404607180421077,
      0.49327301586637,
      0.467806428811604,
      0.485591814969168,
      0.448404046724007,
      0.428779393869976,
      0.661277753508044,
      0.337489649264654,
      0.391201658870593,
      0.494678091481494,
      0.503185243652638,
      0.462909374810107,
      0.470600497552683,
      0.545805410232419,
      0.483206541844296,
      0.64557524982182,
      0.442509825000704,
      0.576076252501188,
      0.545095057964124,
      0.546131988064125,
      0.629376629168096,
      0.540706770827333,
      0.535774931243741,
      0.485143687318773,
      0.663755978899397,
      0.595008360453395,
      0.539723253962718,
      0.399692760903113,
      0.473776955425265,
      0.616128420195213,
      0.446335277999698,
      0.585494205672684,
      0.548086243755547,
      0.410258607244732,
      0.395147764241928,
      0.481767664186051,
      0.439699402422389,
      0.547048876659312,
      0.478987029925438,
      0.517241755039625,
      0.330168317469177,
      0.419067535204336,
      0.429757118135274,
      0.553150610093301,
      0.442618871778466,
      0.503885280851402,
      0.535641475779054,
      0.549997839066709,
      0.511813854605874,
      0.512046792284182,
      0.454459946719907,
      0.494298672733639,
      0.521413585381731,
      0.576481600172227,
      0.538966127144576,
      0.440175164616795,
      0.519630819089106,
      0.578096996521799,
      0.520657471765713,
      0.50973760705047,
      0.556951492557309,
      0.556625729576006,
      0.521066345939358,
      0.452574996865776,
      0.523136005045874,
      0.589475745346484,
      0.619581657104245,
      0.441869518474077,
      0.503729370119293,
      0.435561852160306,
      0.492472726621086,
      0.536580561567383,
      0.320053969064585,
      0.614750134190096,
      0.609040091324427,
      0.583327589859841,
      0.550434830835369,
      0.47221259620032,
      0.533916023676185,
      0.482971959999484,
      0.626699731295997,
      0.543896529766836,
      0.442662113749687,
      0.456962801364057,
      0.615207662092558,
      0.500040681249688,
      0.49847750263121,
      0.672918860707697,
      0.52063582084839,
      0.598671064273858,
      0.460063478704759,
      0.464140910963218,
      0.695821210998559,
      0.446365947450029,
      0.474226542068229,
      0.542602809397056,
      0.555957533446067,
      0.53015741123063,
      0.708507558434317,
      0.590189183265197,
      0.390799160737205,
      0.601021680298104,
      0.61465500331336,
      0.589070276823258,
      0.550273189572413,
      0.570820538874642,
      0.576698269949733,
      0.650060952911653,
      0.406866835518482,
      0.611280682646279,
      0.501860202287883,
      0.413015796998007,
      0.60677783960708,
      0.612390576562362,
      0.563086897349685,
      0.592346673266323,
      0.557996769502559,
      0.594143048424674,
      0.27937869235645,
      0.351946415937512,
      0.41125804631837,
      0.394048962283131,
      0.451342912616849,
      0.436654183647247,
      0.678803404258312,
      0.614317303651065,
      0.423287322334635,
      0.463104868699169,
      0.641109353474603,
      0.497951649453952,
      0.504837307141003,
      0.527194869137168,
      0.462425390433125,
      0.490680487577158,
      0.434479848420695,
      0.463814759489394,
      0.449643110580406,
      0.321489822832553,
      0.503898744432805,
      0.544558685001048,
      0.538464569849585,
      0.468351451627652,
      0.596918869715744,
      0.504779611186232,
      0.570602451261572,
      0.672268577354868,
      0.725137626699947,
      0.517498296158442,
      0.727849907373157,
      0.474976540718882,
      0.421336274279156,
      0.607847702096521,
      0.512015153145079,
      0.382347678324643,
      0.486247879744859,
      0.50649656941677,
      0.356274210384037,
      0.510337404000121,
      0.557941195674366,
      0.538030615295797,
      0.39638967426294,
      0.492335208014306,
      0.58050043336623,
      0.457723644754015,
      0.394828857401136,
      0.568440495893399,
      0.544231876901816,
      0.423166838691395,
      0.461842079549139,
      0.579167314845602,
      0.372845363848008,
      0.458597022521217,
      0.515500148038922,
      0.444756954210558,
      0.593556321960961,
      0.436849562756257,
      0.474077359618143,
      0.471250773651211,
      0.550015253978359,
      0.588873585978281,
      0.588157155597643,
      0.495161377826191,
      0.480463947105583,
      0.527314859034795,
      0.539218228162042,
      0.408645825554397,
      0.684867164134288,
      0.541149001285337,
      0.577578528736567,
      0.51461126045861,
      0.517462840760602,
      0.622367207502803,
      0.535157233225836,
      0.624325217027397,
      0.539551928723296,
      0.609382020915764,
      0.493998837860999,
      0.647212907612115,
      0.565160535474481,
      0.451934327630082,
      0.613620084098829,
      0.56693054989289,
      0.598866782997732,
      0.450322138199966,
      0.516268931978011,
      0.61694245126279,
      0.636512834676924,
      0.483671905985963,
      0.484015646906866,
      0.476257387250574,
      0.408864160970796,
      0.584300333164479,
      0.550856015463674,
      0.535947688076279,
      0.553484017267626,
      0.68461221666134,
      0.565888483855141,
      0.633967050216443,
      0.5915831837621,
      0.633012054838199,
      0.534595727998907,
      0.654214201600513,
      0.550096282930043,
      0.491215309349619,
      0.361932224535987,
      0.536141449914999,
      0.599545345957624,
      0.520878718542857,
      0.521190959643488,
      0.54956628044967,
      0.586929029672036,
      0.557951536194013,
      0.512703793657291,
      0.427153623118501,
      0.335553596722074,
      0.480945213813338,
      0.431797714209596,
      0.444533422223821,
      0.405977886474493,
      0.494389854585215,
      0.39615786030657,
      0.481284914792085,
      0.468026460018691,
      0.398665893724277,
      0.47170041539926,
      0.542399067393989,
      0.440341916732388,
      0.546638432152449,
      0,
      0,
      0.374743930808303,
      0.482296856425721,
      0.34470122659987,
      0.262435653324781,
      0.269404427622235,
      0.405193413991053,
      0.452197659682632,
      0.350155123589617,
      0.389762679879988,
      0.328046944339456,
      0.231370454017391,
      0.368679791721379,
      0.469762315780546,
      0.626035862507871,
      0.34966699198131,
      0.466997581967579,
      0.427210392225719,
      0.639058579427411,
      0.335491884609909,
      0.454089727382098,
      0.510482894876298,
      0.36076863277719,
      0.520165350365926,
      0.399888949014244,
      0.548869842043132,
      0.620808863182927,
      0.624573632778483,
      0.73539923344967,
      0.511733616789718,
      0.443951433046944,
      0.381304699471817,
      0.387823927738295,
      0.404167814263346,
      0.415486523129491,
      0.446636786393394,
      0.478007127945637,
      0.466676825284782,
      0.422995016065888,
      0.346455364654056,
      0.448341827687212,
      0.503352791898536,
      0.528320604545015,
      0.578832344241412,
      0.547011948107686,
      0.608982084986057,
      0.4357307046841,
      0.46537396168451,
      0.502612856262892,
      0.624026969941074,
      0.506873774440788,
      0.46717996136435,
      0.565316199993486,
      0.420844284977154,
      0.572511577408352,
      0.537890213900375,
      0.384571919073265,
      0.575586669463688,
      0.390153762782114,
      0.568493458998483,
      0.343232807170861,
      0.502971950792496,
      0.517601008360478,
      0.459234312000087,
      0.408817135235617,
      0.412935493810108,
      0.551569996887579,
      0.456020693893453,
      0.454016462347897,
      0.339784585749067,
      0.453469504928059,
      0.546045985268228,
      0.498298631560741,
      0.525030501128582,
      0.644822992375432,
      0.504245930036998,
      0.473922247393547,
      0.415025961975448,
      0.638952244942987,
      0.573185516850945,
      0.434164828022705,
      0.477455757095791,
      0.510444700991095,
      0.428560458699342,
      0.488137834296978,
      0.563862940675166,
      0.458009631349302,
      0.381431908018362,
      0.500456778400838,
      0.489395979096101,
      0.413302705688793,
      0.528005019735725,
      0.599057632339311,
      0.565086127691034,
      0.376519749986025,
      0.468721507897987,
      0.539728234550292,
      0.485433764778149,
      0.59039633293897,
      0.671890388811055,
      0.429313528731408,
      0.487691995663771,
      0.835261681190439,
      0.438184256789605,
      0.495869914476299,
      0.556700994632874,
      0.569136197395966,
      0.442706516693193,
      0.491403731223811,
      0.600498594642379,
      0.478716753932977,
      0.479852688051696,
      0.661659274349496,
      0.471850148784125,
      0.460352226997478,
      0.43059641070213,
      0.554217223654852,
      0.385921121587735,
      0.357767221367561,
      0.472378652666114,
      0.351369926022847,
      0.546289488470333,
      0.42631041594859,
      0.489985150986908,
      0.467236064346333,
      0.322006959105867,
      0.494839247442814,
      0.494234939743754,
      0.47620620034217,
      0.493685324805804,
      0.554000248848978,
      0.613256346708345,
      0.442636934491223,
      0.603519379018746,
      0.542298142076722,
      0.615025697675391,
      0.725874007095726,
      0.455709777888389,
      0.507671967936886,
      0.540642476441763,
      0.584534200736889,
      0.628159067265601,
      0.51111597884452,
      0.508438404984301,
      0.522987969995627,
      0.607193458790205,
      0.553843592253659,
      0.570213538504633,
      0.448612407885758,
      0.502497466894641,
      0.507177706860114,
      0.687251759482369,
      0.629646824357203,
      0.48029330784863,
      0.524152650138738,
      0.725970158016053,
      0.578963907671889,
      0.699290007035179,
      0.570115498246152,
      0.596226027840571,
      0.586730393008479,
      0.567931634431395,
      0.532164640260824,
      0.520403785862729,
      0.392459976116683,
      0.615344205799069,
      0.672889155996417,
      0.525960099552271,
      0.47862578459489,
      0.512722947971309,
      0.58738430302756,
      0.633325052636875,
      0.508103593606134,
      0.635584910817429,
      0.585381500610133,
      0.547646860542651,
      0.547993162886246,
      0.471356099838301,
      0.450001355848213,
      0.440879207419751,
      0.654321730950664,
      0.507121741507048,
      0.473782886134308,
      0.512485842391141,
      0.614230077040878,
      0.64188321612463,
      0.53036437842647,
      0.587295898941841,
      0.564849586822332,
      0.588715773457875,
      0.531053560585319,
      0.500041280919454,
      0.404556328243473,
      0.467075119661952,
      0.579925565170466,
      0.607051188275388,
      0.524467883228091,
      0.572371148787389,
      0.424078955508636,
      0.492807222896031,
      0.473605670064562,
      0.53034096308634,
      0.452573053778584,
      0.361351089445062,
      0.567386396383468,
      0.509908283031815,
      0.444805788111345,
      0.413638884569951,
      0.447305558502543,
      0.577013321204854,
      0.400047562296994,
      0.566198908934305,
      0.51560910696155,
      0.387042184058381,
      0.457625369012094,
      0.501558606898528,
      0.436356965222387,
      0.428089399408177,
      0.493405206562448,
      0.658476555058836,
      0.445770782745275,
      0.518420058859724,
      0.55044870689858,
      0.41137250303277,
      0.465670833551378,
      0.50884429469691,
      0.470470468270226,
      0.381401262207989,
      0.356655807005459,
      0.710255902377076,
      0.512958460644297,
      0.36278829271656,
      0.482912295561172,
      0.600633270255372,
      0.473950418177071,
      0.477931351903836,
      0.51438038102214,
      0.476780938574341,
      0.375535518046532,
      0.382378295241794,
      0.406128025130296,
      0.546389186023236,
      0.50051835764033,
      0.499076115636966,
      0.441565908020647,
      0.46927859691808,
      0.530025378825413,
      0.548595259393684,
      0.443049687198581,
      0.557105569637044,
      0.639485707342295,
      0.460567544675921,
      0.448912798567621,
      0.514573492525162,
      0.462331817270076,
      0.453269958125312,
      0.355722904455945,
      0.639251028210598,
      0.31581263328942,
      0.337395232694945,
      0.496872886261538,
      0.653735051145069,
      0.456339095601945,
      0.38893891701105,
      0.516431122553608,
      0.457422577427216,
      0.590599024351621,
      0.495967139047615,
      0.516624332736966,
      0.63827408996049,
      0.46236510549569,
      0.590150619943804,
      0.439379769838967,
      0.518429438233139,
      0.510128694846186,
      0.630634690273181,
      0.620720241561999,
      0.496893541955634,
      0.381195565580441,
      0.501939896451697,
      0.584301162729172,
      0.464260125180392,
      0.751693629756788,
      0.549786974258852,
      0.427753233499263,
      0.427226263755528,
      0.438799880234923,
      0.303975815173119,
      0.556198032823045,
      0.435090958320752,
      0.515237014132596,
      0.383442828286598,
      0.443140516274467,
      0.436215134680559,
      0.553832053367399,
      0.408344173529266,
      0.619346562228134,
      0.547277870525572,
      0.574052993999274,
      0.563096815411845,
      0.598142484929908,
      0.447182507604154,
      0.522937544589085,
      0.587527594929912,
      0.566898787396697,
      0.49940688569512,
      0.517257916050046,
      0.572048234209851,
      0.576832554420272,
      0.51848708855158,
      0.578416895653625,
      0.496991425726319,
      0.540410034160788,
      0.519840592254772,
      0.469140411098676,
      0.536922554601223,
      0.543678474802119,
      0.620360067194429,
      0.464424289622371,
      0.534206310246585,
      0.413501754435976,
      0.507633417792041,
      0.55696631166652,
      0.395920968048547,
      0.525534961714031,
      0.594654418842083,
      0.519812067948562,
      0.538580082084791,
      0.532242928399755,
      0.634003137622113,
      0.501655952330641,
      0.529550941929754,
      0.536140980102979,
      0.422659697169238,
      0.52271211827835,
      0.551756758260614,
      0.548372041534235,
      0.471054741019662,
      0.605580333013865,
      0.504480077589033,
      0.538245785418917,
      0.49910134614903,
      0.422233034269606,
      0.607858909886373,
      0.489599218893956,
      0.484814673489548,
      0.502692859435793,
      0.559580892333751,
      0.564142957082831,
      0.710266766243277,
      0.57197900966869,
      0.499390589354739,
      0.534202644662943,
      0.692538065577732,
      0.626889140159357,
      0.642901172871502,
      0.572210875006198,
      0.545276874704862,
      0.585668813804161,
      0.501875392581049,
      0.592570773795055,
      0.495178896337395,
      0.432198921282657,
      0.620547271839303,
      0.714171158260652,
      0.539832159804946,
      0.575003514823941,
      0.573185980701618,
      0.58148904488874,
      0.29369921640901,
      0.423538287061093,
      0.457169072846226,
      0.423923104989885,
      0.482632739079109,
      0.428537119110281,
      0.697236158335566,
      0.3787981636323,
      0.4616130429186,
      0.344857598116065,
      0.644873810678173,
      0.38943272599923,
      0.489337010084702,
      0.463986350521014,
      0.518275157099036,
      0.486359368649954,
      0.465406220041126,
      0.467472166487054,
      0.518644761931655,
      0.35533019692238,
      0.45242922200333,
      0.554875216901915,
      0.462174600160233,
      0.506277823323943,
      0.533933717157498,
      0.552516870421107,
      0.493449380198688,
      0.635077208436398,
      0.580905242135992,
      0.690908166675405,
      0.656371182692636,
      0.522190922340515,
      0.426394143354802,
      0.617808171410075,
      0.526173431154749,
      0.516490592162372,
      0.526215036054197,
      0.56446940349968,
      0.405095876692539,
      0.515936694309049,
      0.571163104779182,
      0.533053354161471,
      0.409351029882509,
      0.516127832486764,
      0.671431979743932,
      0.47869271627584,
      0.451322317944505,
      0.555328221642989,
      0.552141450478968,
      0.411017137083863,
      0.494316530295405,
      0.583985239054736,
      0.462431635540118,
      0.499615834758806,
      0.557096835230596,
      0.4677096008102,
      0.521236941942668,
      0.413486053183482,
      0.580744743336485,
      0.53526076200394,
      0.439791828792434,
      0.50241294599545,
      0.586715210771326,
      0.423219868757323,
      0.497840254663414,
      0.526084578557663,
      0.538152391664203,
      0.393398331444623,
      0.565269531825108,
      0.435529307038231,
      0.442422062710691,
      0.498562688677712,
      0.52449938163678,
      0.581587956280932,
      0.5786024303811,
      0.602268496499684,
      0.50800284633063,
      0.583993368855281,
      0.601765880509236,
      0.676644378216481,
      0.528773464340272,
      0.451283193338866,
      0.64698865789487,
      0.539306307774263,
      0.578128343536993,
      0.585080718481518,
      0.556820004321156,
      0.602054361440304,
      0.572266838880629,
      0.530005335902698,
      0.466644383163574,
      0.437299810573818,
      0.445325132575627,
      0.637587984509123,
      0.656982135797337,
      0.54038311671674,
      0.495782267070058,
      0.691335125240902,
      0.582063229820381,
      0.684079907447832,
      0.582649612821419,
      0.636554029029251,
      0.555813664072689,
      0.566703223484226,
      0.5333168029948,
      0.521782676107087,
      0.338824338894847,
      0.558525086556793,
      0.628793755954451,
      0.534396467979062,
      0.486245829295358,
      0.496560655606727,
      0.577534848715602,
      0.517585097303895,
      0.517648922799285,
      0.459593014571796,
      0.375422480507124,
      0.527157153720443,
      0.485439358433501,
      0.42898235048105,
      0.408814197813152,
      0.498523955404325,
      0.403383890980844,
      0.457759433256353,
      0.4419231960389,
      0.415379578493882,
      0.520645240156856,
      0.556139834298586,
      0.434302430855043,
      0.574535926109927,
      0,
      0,
      0.419872251231846,
      0.492310962945577,
      0.331204273991987,
      0.311009724286298,
      0.340509969550014,
      0.421591038244023,
      0.458457128325815,
      0.403068446517659,
      0.491907695013636,
      0.355628257425582,
      0.29132771579673,
      0.373170549511229,
      0.450119511101342,
      0.616732536243628,
      0.290734642648173,
      0.413324384016079,
      0.40042722684974,
      0.612428774879355,
      0.398332520759735,
      0.48974739389925,
      0.513612085405351,
      0.373907264214968,
      0.51305118680863,
      0.366055152666722,
      0.528340331636162,
      0.595452633034659,
      0.611946752065058,
      0.696165116750524,
      0.525017885267195,
      0.456159090292158,
      0.428515588262645,
      0.45810298380683,
      0.486223457947803,
      0.465323996347032,
      0.445369977937162,
      0.551420164793353,
      0.461367751801067,
      0.455515047179452,
      0.407357185407086,
      0.483645662532819,
      0.519330903013477,
      0.60050614912758,
      0.601822569994664,
      0.493270557459095,
      0.602776324945166,
      0.483851640034617,
      0.408785687425006,
      0.517045080844614,
      0.631024408684685,
      0.483561602892445,
      0.506759756628151,
      0.630483159038037,
      0.410029227885493,
      0.549410874675241,
      0.462949894145826,
      0.400465642209217,
      0.605865671488095,
      0.464930461600743,
      0.582145996115176,
      0.394124908937197,
      0.657070124124092,
      0.510148496264123,
      0.431994927068862,
      0.462526855796403,
      0.456534069849823,
      0.467775041031321,
      0.475513276916499,
      0.419659555130988,
      0.38299715360914,
      0.607993589533903,
      0.599482990089103,
      0.470704469897461,
      0.412199835376254,
      0.758957985082682,
      0.512854615996114,
      0.476988938739847,
      0.503761866140815,
      0.70770138718654,
      0.649537258249723,
      0.406159396046706,
      0.446233316634613,
      0.498872577014904,
      0.391221898171759,
      0.477913900798313,
      0.560072420070592,
      0.407133689917255,
      0.449269617421362,
      0.475428398658404,
      0.531777146643547,
      0.345616524878577,
      0.657669374899285,
      0.578816109807328,
      0.61117380904886,
      0.433003860196675,
      0.485490883649204,
      0.551976375167265,
      0.535658777968335,
      0.631131608991288,
      0.681094861936372,
      0.466946007444695,
      0.596064926543141,
      0.761135932556562,
      0.512261648205482,
      0.46780980966552,
      0.726426201448189,
      0.549114833995223,
      0.446586998869491,
      0.524459025188113,
      0.545319694276403,
      0.455998134080165,
      0.449848347798349,
      0.658557611564424,
      0.518887649306085,
      0.460446166080085,
      0.485081936733175,
      0.547578213800152,
      0.444141263954491,
      0.361020438405449,
      0.475344321620723,
      0.426302172835982,
      0.531963435149079,
      0.480076732938907,
      0.523804821993602,
      0.430480280060255,
      0.373172781941505,
      0.468940778292331,
      0.507909491973372,
      0.464823451587788,
      0.513033695637483,
      0.735031983546989,
      0.629202237347928,
      0.410431241764599,
      0.580823058291617,
      0.585601699835318,
      0.56683841115542,
      0.700856651959658,
      0.452142150714382,
      0.413544242841341,
      0.479818767110736,
      0.59872665476656,
      0.666406856437979,
      0.51030487661607,
      0.537472171285986,
      0.547622295431112,
      0.599037379568476,
      0.590970728286101,
      0.536120145813182,
      0.466788248184929,
      0.481603797460167,
      0.536840371132512,
      0.665462160303079,
      0.7041537426912,
      0.46949973593122,
      0.509154398379406,
      0.718051830993057,
      0.635487336911337,
      0.723418543003245,
      0.624649577483978,
      0.568099934696219,
      0.560093256894104,
      0.592471471423775,
      0.553829220470844,
      0.52509438980433,
      0.396064799829819,
      0.616703531372583,
      0.639722050698718,
      0.495204479488172,
      0.476402339087204,
      0.515556951949984,
      0.445787341470118,
      0.681634625956884,
      0.481664781658356,
      0.635413742440952,
      0.484520503716338,
      0.533483816599877,
      0.634768344784425,
      0.434337828597912,
      0.448164104987186,
      0.490848331432448,
      0.67672020977183,
      0.534367724508879,
      0.56676673455434,
      0.518929816832603,
      0.576733677847517,
      0.656343782162372,
      0.530364083291995,
      0.5038908894306,
      0.601755904683449,
      0.544189872332798,
      0.514463536864568,
      0.48804230798668,
      0.448197077811049,
      0.513631633033872,
      0.584152984287584,
      0.522353082700779,
      0.504703204013128,
      0.572137720337234,
      0.398206674531843,
      0.51153538042358,
      0.479510379391683,
      0.715124728540126,
      0.582824416302795,
      0.412582686326206,
      0.625812391178741,
      0.457448928814093,
      0.458261390046193,
      0.486043727396511,
      0.440007528502009,
      0.636065918427533,
      0.430525027743453,
      0.673818644942427,
      0.531400739984425,
      0.377700519792851,
      0.431536560096701,
      0.490972215735894,
      0.48818929611939,
      0.399337398048106,
      0.506387178517255,
      0.616735256553069,
      0.45763454568888,
      0.501735281012512,
      0.630385276692149,
      0.518632357865637,
      0.456655669585106,
      0.413076318478396,
      0.399452756415928,
      0.567605307289005,
      0.387417939945156,
      0.76777078984814,
      0.539608507994443,
      0.419595110940322,
      0.483771529024367,
      0.578712420556655,
      0.517342259164422,
      0.519170538219221,
      0.611938704186947,
      0.650107560602965,
      0.404728777370388,
      0.46355807189907,
      0.532388948029699,
      0.6140750323653,
      0.433817810158276,
      0.527982989788081,
      0.504230367654904,
      0.492525091150095,
      0.51396912274367,
      0.519521273610381,
      0.464535442903655,
      0.556686792440665,
      0.601740987457978,
      0.488045836118676,
      0.499360568314839,
      0.483292656281111,
      0.426095247301021,
      0.449824499794932,
      0.412037160845227,
      0.705190650830978,
      0.350000385497338,
      0.489829249328802,
      0.462596014101801,
      0.654507555006306,
      0.503833294065336,
      0.481935008995507,
      0.57601764810041,
      0.497024694901246,
      0.571726314882039,
      0.465226423218799,
      0.555505142289459,
      0.619245498405871,
      0.473471251342613,
      0.4527672626469,
      0.399595124875714,
      0.469528645165803,
      0.464783017860075,
      0.761802747596392,
      0.62860935269351,
      0.489195938809965,
      0.450862175574357,
      0.545166063958651,
      0.496284849875078,
      0.419105837856825,
      0.731767511901361,
      0.570319339878667,
      0.398036349021304,
      0.409791852645436,
      0.459368297216974,
      0.403324391859553,
      0.460623347187089,
      0.570048042485394,
      0.592581032983414,
      0.41123668479323,
      0.384856911934576,
      0.444874861925159,
      0.574946690866227,
      0.403226056586187,
      0.646107384503394,
      0.635654037429591,
      0.517491757067389,
      0.55747594909094,
      0.671622618766971,
      0.389139339918105,
      0.435907994812761,
      0.620561044030864,
      0.555454452557169,
      0.503022260129227,
      0.470300315082679,
      0.574132811108581,
      0.569617318083848,
      0.52992545676234,
      0.615182199732287,
      0.469354204696538,
      0.498874571409037,
      0.501131603659025,
      0.480622195267824,
      0.524767762776204,
      0.533378081795853,
      0.594572501948788,
      0.446622339179243,
      0.496359871214209,
      0.399658283115919,
      0.47638781792238,
      0.564028645340708,
      0.346672842009407,
      0.46143443491683,
      0.554430339489334,
      0.580645360278389,
      0.50715347277468,
      0.491665678990948,
      0.581750765075348,
      0.531416242366872,
      0.537318935505514,
      0.579216091190995,
      0.399961293890852,
      0.499092496024236,
      0.563853165742291,
      0.498579260859555,
      0.451238459429598,
      0.60606768950841,
      0.506835994471642,
      0.628512525229987,
      0.498799744701358,
      0.484924004134983,
      0.63459021583996,
      0.495617685512972,
      0.501859252425375,
      0.526837532586688,
      0.576743272104634,
      0.514207024914606,
      0.69656895468879,
      0.637219369033007,
      0.569118649852211,
      0.546022405220243,
      0.694878163185085,
      0.657528985114036,
      0.730138269299464,
      0.63338254083973,
      0.531924862784972,
      0.623506057216441,
      0.510827097019802,
      0.592645152521912,
      0.516477322916921,
      0.438639527305626,
      0.631649746144242,
      0.742595786445879,
      0.492976385418019,
      0.533291116315333,
      0.520906745519834,
      0.519297115767975,
      0.30779889574629,
      0.421112360761861,
      0.46204937177673,
      0.550160539488419,
      0.61021651200297,
      0.456000243662989,
      0.703470170221625,
      0.350049152861041,
      0.42277788837009,
      0.412970214274442,
      0.673273624189461,
      0.476553146565373,
      0.498727550846378,
      0.535288809108941,
      0.512973035047512,
      0.497849117254937,
      0.45349397176031,
      0.422110988384507,
      0.505539065433131,
      0.356436725753771,
      0.412202721714539,
      0.602486665320571,
      0.440096228289367,
      0.439858429050752,
      0.494487634641496,
      0.53391039627828,
      0.501451771783391,
      0.510648432448264,
      0.529311227555674,
      0.746500017079195,
      0.59234145414974,
      0.534600885106693,
      0.43906544400799,
      0.711283545292531,
      0.592900002650652,
      0.664327526535717,
      0.561807378308054,
      0.571203224833204,
      0.333787884975924,
      0.518132775454984,
      0.640553275803194,
      0.612135150458442,
      0.404164526770845,
      0.565147675355981,
      0.654703404916371,
      0.562967590999473,
      0.402473379517117,
      0.605010107137876,
      0.571038348192273,
      0.43021146380733,
      0.47780865102067,
      0.526812226049325,
      0.482833712776736,
      0.494319265053431,
      0.670057666852272,
      0.475740695692608,
      0.60677986699137,
      0.471152156324598,
      0.583684560114335,
      0.5060336320916,
      0.522804383756573,
      0.538206476089392,
      0.576388516544556,
      0.439772028612684,
      0.47965492184593,
      0.510477279283643,
      0.511302707656036,
      0.355915537268339,
      0.493309377953328,
      0.497809000395659,
      0.539937484557922,
      0.50232725552805,
      0.471990344978688,
      0.588505212115971,
      0.522759070285524,
      0.546438379243998,
      0.54810007440501,
      0.614106087319954,
      0.592627315131086,
      0.685158173564658,
      0.597719863951022,
      0.565704298022342,
      0.604857111753942,
      0.500242393320523,
      0.586596546840241,
      0.654690683500116,
      0.589769488775632,
      0.584362340021822,
      0.625741639937793,
      0.497626397033665,
      0.418543197730925,
      0.457676190510304,
      0.483821064896288,
      0.636152740898796,
      0.708577418475582,
      0.511705632202564,
      0.502514556063653,
      0.685518918509978,
      0.613062798861606,
      0.664022357997763,
      0.598726605193648,
      0.596557768944986,
      0.519485222908847,
      0.616545216168973,
      0.54957065926824,
      0.548884010156932,
      0.356909488563434,
      0.569405489043024,
      0.619310014576714,
      0.531767529985884,
      0.503376179176553,
      0.509050957428782,
      0.507968398812113,
      0.515728597358556,
      0.528849508124711,
      0.444100416777127,
      0.357336600004902,
      0.476539781870267,
      0.498007113854501,
      0.493777857441777,
      0.450033697221824,
      0.531859062563699,
      0.389750187290354,
      0.470220536546927,
      0.47845104693392,
      0.563624787229286,
      0.541262789815402,
      0.495876723920022,
      0.33033450577257,
      0.457280403684647,
      0,
      0,
      0.481290315424016,
      0.409448570849427,
      0.43920509191165,
      0.40683172660159,
      0.378851557581748,
      0.536662507539685,
      0.542775520869193,
      0.542179610858678,
      0.511602778654409,
      0.42115921181359,
      0.366305105663751,
      0.447934253832985,
      0.48613545038395,
      0.573072035940411,
      0.316373201459191,
      0.423919344031779,
      0.37235464473633,
      0.595300674628262,
      0.489349332546441,
      0.495398475235149,
      0.549674394949911,
      0.390393865714019,
      0.461396490260712,
      0.346934946357651,
      0.501920595952497,
      0.636166679604791,
      0.667630493543116,
      0.698382181989553,
      0.52347189009437,
      0.48567559329001,
      0.486007311070887,
      0.47983677421335,
      0.581164226147911,
      0.621989079500665,
      0.53888894414089,
      0.601226830930032,
      0.485592705192806,
      0.505609741780155,
      0.439568444745594,
      0.543315896403579,
      0.526795479237022,
      0.711092082134675,
      0.727753141478448,
      0.547138480097445,
      0.55902496427911,
      0.595746450486321,
      0.444395803962831,
      0.500427748185577,
      0.63922696960644,
      0.512670248607236,
      0.483014186250265,
      0.62455201378713,
      0.386607596224455,
      0.517711993200805,
      0.450881814011688,
      0.428119750701684,
      0.576554311112577,
      0.481240000398899,
      0.642918745325805,
      0.452571123430058,
      0.856101403627188,
      0.640527091068395,
      0.498216562688465,
      0.598202838273054,
      0.513379969734749,
      0.458559073408674,
      0.470876065822698,
      0.534848961527556,
      0.390054048157116,
      0.698854013328858,
      0.669699992010951,
      0.529544289155297,
      0.477042543024439,
      0.792216238668843,
      0.553900034615252,
      0.525163295339318,
      0.611595080575368,
      0.67404537650738,
      0.64662265985428,
      0.399147942110276,
      0.544598568799478,
      0.574116770672078,
      0.424753397536393,
      0.534032219613379,
      0.498787223995804,
      0.469511492974537,
      0.50307200346936,
      0.544321456015727,
      0.564530869911396,
      0.427597308902265,
      0.637547930720706,
      0.605595474515036,
      0.568987738769325,
      0.500529935158613,
      0.556146844907394,
      0.580472564845798,
      0.520723937134886,
      0.617389921203632,
      0.715688275418331,
      0.570614747643236,
      0.622421206499558,
      0.624350100390085,
      0.558233628244815,
      0.424448633786062,
      0.738125661792365,
      0.552107607110897,
      0.448117860009583,
      0.633783599538832,
      0.561163775512707,
      0.494601973447745,
      0.474370266561451,
      0.58709023117218,
      0.489781702276535,
      0.498011294615191,
      0.549543360744223,
      0.538886059187231,
      0.554393390191852,
      0.366803524733332,
      0.505751739495965,
      0.546666444714932,
      0.523610979918836,
      0.551854622179629,
      0.467779130784388,
      0.410980213052389,
      0.45924219431846,
      0.486466662673733,
      0.631583912211915,
      0.491957145807897,
      0.499334059399211,
      0.756000864991384,
      0.571671405428751,
      0.414401049743164,
      0.617333498404818,
      0.633998964883359,
      0.673865675566359,
      0.725310624232256,
      0.508343535267724,
      0.418710246025379,
      0.480788648891314,
      0.579965653637951,
      0.600643011611786,
      0.446637118758431,
      0.63629557504392,
      0.527726624958654,
      0.642807530432751,
      0.586896600920226,
      0.549157830798813,
      0.525410839216572,
      0.542623763079454,
      0.543108211367535,
      0.65559716208866,
      0.558089303600297,
      0.553270209787648,
      0.482819611289734,
      0.795042351732471,
      0.756412338843587,
      0.672192743214884,
      0.651272705494429,
      0.573244090060646,
      0.58420223033951,
      0.612356247420748,
      0.540856211763812,
      0.463539662331698,
      0.397290431428777,
      0.586143993745675,
      0.699344430552613,
      0.581130561690919,
      0.481047261390139,
      0.557827568313029,
      0.450840743285875,
      0.630252102335984,
      0.551120465324674,
      0.619551404441566,
      0.520691039944688,
      0.590289341792339,
      0.65432350878475,
      0.522321957046843,
      0.521927143535573,
      0.560539125023432,
      0.600220520312686,
      0.573935717931076,
      0.548847909637489,
      0.684932306837807,
      0.705763509527227,
      0.618674565985687,
      0.586776980670288,
      0.43017889036988,
      0.61179446334877,
      0.553980085429629,
      0.49475834743637,
      0.546575141222175,
      0.538486960122027,
      0.517972781500476,
      0.62652222587067,
      0.513295977014052,
      0.56261238682772,
      0.56703485373168,
      0.458349194774887,
      0.573517219625684,
      0.515321765780406,
      0.730436890875196,
      0.616004113772592,
      0.444232642561073,
      0.647173555833115,
      0.595214166397999,
      0.507336992683615,
      0.641429054068669,
      0.628857059578123,
      0.614195215887216,
      0.44725530575608,
      0.697894706920826,
      0.527923722425077,
      0.432825836601948,
      0.434340132816498,
      0.537861237663084,
      0.458347933931812,
      0.438177137983493,
      0.559477661114257,
      0.597874839942915,
      0.359246258227941,
      0.668039695190851,
      0.670388922028712,
      0.614325164368552,
      0.467128743855661,
      0.498763664321958,
      0.466774954380604,
      0.59524159392886,
      0.420350779038147,
      0.667195813107946,
      0.536080456931214,
      0.441600257460256,
      0.550003700633062,
      0.620023176040564,
      0.51495807951278,
      0.695991195456184,
      0.761481044997324,
      0.719265242127785,
      0.426198055266462,
      0.456742308170793,
      0.682136778573659,
      0.639733157263829,
      0.530395733202795,
      0.579964042480679,
      0.568137574424695,
      0.46970341360167,
      0.579104208058832,
      0.578059610813251,
      0.414898708916037,
      0.545260171668297,
      0.60536558656578,
      0.683691142254905,
      0.528824059573493,
      0.499029058545257,
      0.427256546525524,
      0.479060459441909,
      0.438192066871948,
      0.703547985476972,
      0.413239442209659,
      0.500488052035491,
      0.507395776958224,
      0.615660188040352,
      0.561384384495397,
      0.541511112176225,
      0.62627341384421,
      0.489724766964761,
      0.61904920402417,
      0.486579630450625,
      0.642724017089068,
      0.646257139423441,
      0.520292649005696,
      0.484239294025588,
      0.459336163570138,
      0.544717316965263,
      0.514228596699295,
      0.772643402112531,
      0.626221983472675,
      0.553722626399389,
      0.400131362865606,
      0.525534434795819,
      0.579871186150843,
      0.39818872272967,
      0.579030080251086,
      0.508299924714782,
      0.452171695056521,
      0.452994894503034,
      0.452736112848782,
      0.552240734897542,
      0.51759084730208,
      0.724396015112979,
      0.569939388706168,
      0.507741071730646,
      0.534186976131756,
      0.546797460560037,
      0.596741550841488,
      0.455178066262004,
      0.67465588904001,
      0.74131444738344,
      0.526046956959764,
      0.569011616902508,
      0.639801418296395,
      0.511152346871673,
      0.498068386395111,
      0.60128130407117,
      0.605810412764702,
      0.54840887094464,
      0.527885990179565,
      0.598948908236717,
      0.501251395012874,
      0.519279121634632,
      0.633329825245828,
      0.420302053868284,
      0.543691007512585,
      0.570977349723539,
      0.485817418994555,
      0.568608711156337,
      0.517076526821371,
      0.603808577078724,
      0.487665457967093,
      0.524825643115662,
      0.464332086697544,
      0.426578132679409,
      0.574410514084527,
      0.460019822089352,
      0.55309919051514,
      0.565919898283418,
      0.548457960676076,
      0.543372194859046,
      0.45506130724052,
      0.55653966755872,
      0.536317256065247,
      0.502304556884136,
      0.531041692961153,
      0.427482282312828,
      0.484253586173871,
      0.486632344941042,
      0.531881350959777,
      0.453462771848694,
      0.655909645803119,
      0.478019197532435,
      0.596888605383781,
      0.49021915530606,
      0.48393567046071,
      0.67375372607693,
      0.520089091082007,
      0.47283702815841,
      0.508561782843552,
      0.597575053401197,
      0.540772027807365,
      0.703188384035455,
      0.629738259979033,
      0.603826088971114,
      0.525984839391652,
      0.811790799379593,
      0.770641361152808,
      0.751034609118016,
      0.600024555469492,
      0.61451719627098,
      0.653149970141457,
      0.51216082932602,
      0.59092286797204,
      0.464596468697579,
      0.505503670993789,
      0.615548568454364,
      0.644877217354886,
      0.558821127692904,
      0.484339495627516,
      0.556160946035398,
      0.516137126685255,
      0.334478904526595,
      0.425323453580547,
      0.564372778447441,
      0.667579339176643,
      0.593219850855173,
      0.48750834755719,
      0.641279970830431,
      0.401109406772353,
      0.39945127554519,
      0.492989331587154,
      0.678239970997822,
      0.531780354176484,
      0.492154455156539,
      0.596022469044178,
      0.536356326906081,
      0.516515454710442,
      0.448482401354974,
      0.40610713263392,
      0.548596299500916,
      0.411923858001243,
      0.581996632898166,
      0.59339072552642,
      0.427664768491857,
      0.542071811364341,
      0.518047432283016,
      0.541659469543492,
      0.465472056375762,
      0.580956740421834,
      0.663060408545466,
      0.599175626335673,
      0.637985775192359,
      0.56965715434362,
      0.505397508707654,
      0.70213924672025,
      0.605041196376194,
      0.603417010450727,
      0.580663000699796,
      0.624424599360613,
      0.327251150843374,
      0.513269457422176,
      0.610679919321254,
      0.670510107084003,
      0.443503073962439,
      0.581431073345185,
      0.414439758687319,
      0.637655564568882,
      0.463923871544567,
      0.74314390254469,
      0.561156206935036,
      0.523928901802106,
      0.497433879728534,
      0.559130518461178,
      0.52583417335644,
      0.582929051128067,
      0.58684837285917,
      0.452451340387242,
      0.590802020738133,
      0.522834822503304,
      0.548839072285252,
      0.542189527196674,
      0.557065504367251,
      0.564332553406917,
      0.572628675332588,
      0.461787071148581,
      0.56423039232405,
      0.455997826512304,
      0.56910339844083,
      0.451227401471771,
      0.504318921153341,
      0.668994292245612,
      0.569596236871028,
      0.554875409938489,
      0.474618355202069,
      0.607906959590407,
      0.536725818624923,
      0.511993018251873,
      0.491557062029051,
      0.606899706101613,
      0.569567150080073,
      0.681715664417901,
      0.61384496410381,
      0.558097574240543,
      0.622732601570744,
      0.500076213471947,
      0.570446180658954,
      0.706377669055454,
      0.590628249673059,
      0.591592081804535,
      0.634952610278898,
      0.549156199104827,
      0.535780227451563,
      0.471803023288911,
      0.480681769818987,
      0.634595551318438,
      0.591968414703998,
      0.556384028978172,
      0.522875471259252,
      0.776731188151144,
      0.712003915758684,
      0.630090032048936,
      0.620319702042368,
      0.5882160591334,
      0.557818426488499,
      0.643127837163259,
      0.560746028719975,
      0.512530536530502,
      0.377357680062186,
      0.496413732822512,
      0.691720301214423,
      0.584557969345932,
      0.520912288631582,
      0.482442742062055,
      0.502931601155979,
      0.605084423894771,
      0.564209478051739,
      0.436668696788153,
      0.434866237989327,
      0.561834077265314,
      0.510859667645238,
      0.523031794849035,
      0.516345963599126,
      0.617234865083214,
      0.498061797282026,
      0.544994252736661,
      0.56600260656438,
      0.704048113217779,
      0.75979925100809,
      0.592140451739554,
      0.450786482976531,
      0.529285280091438,
      0,
      0,
      0.41157344026687,
      0.434829998685093,
      0.450980550042703,
      0.365183189914876,
      0.413419110334579,
      0.436909995362908,
      0.522281961802257,
      0.482909182203883,
      0.428813435747803,
      0.411785474440796,
      0.429906764219606,
      0.406407584554429,
      0.446015716527333,
      0.503867039847327,
      0.295901170188502,
      0.379981372564295,
      0.437227164280662,
      0.559505571206664,
      0.432772051448668,
      0.420278440539286,
      0.524031491062574,
      0.366676636066047,
      0.442096527785151,
      0.382304344894361,
      0.449176241814599,
      0.60583100639276,
      0.561939852379891,
      0.710531004767738,
      0.585702523005162,
      0.520151086405873,
      0.495633742978337,
      0.469758885205175,
      0.585024827780607,
      0.623194838386252,
      0.55621643625362,
      0.561458056874267,
      0.464429851916654,
      0.586266646500016,
      0.495556752728619,
      0.556891609430276,
      0.573047337973687,
      0.625790160155785,
      0.653390592231352,
      0.538809493516556,
      0.583192987952014,
      0.546839226299781,
      0.508572545693862,
      0.465910693408992,
      0.657771050193106,
      0.459259722653574,
      0.480793258278575,
      0.609653173239508,
      0.410028863645583,
      0.501407118578603,
      0.462681063576724,
      0.407156898990746,
      0.590194553081142,
      0.503319172229146,
      0.651413736444692,
      0.417038101976553,
      0.841114708590322,
      0.681062297797344,
      0.49564230401439,
      0.573762451350834,
      0.512065848495021,
      0.465966066487516,
      0.502969179580124,
      0.622684327864596,
      0.397655098105085,
      0.595555947559614,
      0.59577816504185,
      0.486721370813821,
      0.519537616108253,
      0.781869463480183,
      0.543637108842459,
      0.525557157486036,
      0.702683223370427,
      0.546000396240741,
      0.622976918230421,
      0.425842218407212,
      0.483219924627147,
      0.582529154874632,
      0.368544278761449,
      0.481948822374653,
      0.563247093899578,
      0.515919315062288,
      0.475486180227481,
      0.565099893505323,
      0.587051851369575,
      0.457777164899199,
      0.490137680686572,
      0.580913339046626,
      0.551732354233376,
      0.498778985389958,
      0.592132350655719,
      0.577553929233607,
      0.658049261643845,
      0.573599678489664,
      0.60991570151119,
      0.533448315843116,
      0.512243860375153,
      0.515637502000263,
      0.480378554100569,
      0.664526857049812,
      0.658170813829509,
      0.595457669668618,
      0.588995876721633,
      0.654848956496449,
      0.470998668514293,
      0.510285363858518,
      0.655440237605005,
      0.554894142866168,
      0.490569426281528,
      0.539466858439083,
      0.574677024674719,
      0.598400699049457,
      0.58008894029148,
      0.417614004546969,
      0.508304026435403,
      0.511232181009061,
      0.549941639158148,
      0.602642905796603,
      0.524308288455894,
      0.433372511341409,
      0.570573913811205,
      0.543294681526874,
      0.683924168877604,
      0.593486799778131,
      0.508308312672254,
      0.582532651444152,
      0.58041042949595,
      0.327389574444947,
      0.640380347288757,
      0.525128434960054,
      0.739917995306016,
      0.699957404988468,
      0.487968664040269,
      0.495377967446011,
      0.457491546298815,
      0.598488659013627,
      0.483268089298502,
      0.473662879196157,
      0.685609575828036,
      0.515849746804252,
      0.653488886023856,
      0.599984521345669,
      0.569604064660711,
      0.55930041557933,
      0.547882584386708,
      0.601735955633055,
      0.589493755023498,
      0.522430210856126,
      0.557321314858715,
      0.587423051447463,
      0.717735647323218,
      0.665721941184374,
      0.624876847901825,
      0.609734492371181,
      0.624143461334531,
      0.592321866782497,
      0.650448934989624,
      0.530045135319638,
      0.551487825427033,
      0.379877949925999,
      0.616899158619356,
      0.657284900307161,
      0.511127860708593,
      0.557203323885167,
      0.551099304153404,
      0.47518415859869,
      0.578883316610451,
      0.598118985630754,
      0.628833041533407,
      0.566006172081527,
      0.603213909566253,
      0.673807283548489,
      0.564071761807428,
      0.526210637502681,
      0.589068807532669,
      0.580906505896661,
      0.529808874995046,
      0.567292239615781,
      0.588841463144968,
      0.623386415640719,
      0.534305659608287,
      0.525695928824171,
      0.472687235907729,
      0.580101716043691,
      0.57925441601633,
      0.568661468546487,
      0.554468930836185,
      0.472010830548332,
      0.488203542423681,
      0.593281972683027,
      0.53793369713157,
      0.559468271629963,
      0.575859317777295,
      0.460255153022542,
      0.671641588365589,
      0.564232119496994,
      0.566372771299355,
      0.575221839044397,
      0.505051730160565,
      0.609279900546161,
      0.574287789466292,
      0.454553345602886,
      0.703464469148816,
      0.713314899633947,
      0.503286698387143,
      0.480737359581673,
      0.722089772785328,
      0.524126979829782,
      0.431227302213813,
      0.495563057832751,
      0.570922965586755,
      0.462588742535337,
      0.381856944806441,
      0.561983701425458,
      0.538025007565104,
      0.443029134953159,
      0.627166645658516,
      0.519309990550928,
      0.534121787825315,
      0.466962647465495,
      0.448487204101341,
      0.509557256141088,
      0.57274967272527,
      0.504426622619869,
      0.461337879739151,
      0.568055638141233,
      0.395521133644926,
      0.573924008569335,
      0.64525291849603,
      0.528408716936358,
      0.706761282241295,
      0.704895677536998,
      0.569163045696897,
      0.430686236557399,
      0.538798308757205,
      0.597121734930155,
      0.726250810633484,
      0.507785438013676,
      0.592973162560651,
      0.542991997436431,
      0.576819230383704,
      0.544972578384454,
      0.556844383495583,
      0.389756501587939,
      0.583298912515614,
      0.583571394714151,
      0.632853539559151,
      0.566198891480913,
      0.412447605285949,
      0.367465919788631,
      0.438516699796878,
      0.486034035023542,
      0.661836527651633,
      0.579785217921993,
      0.57182929146107,
      0.59314071266165,
      0.545639166863338,
      0.541005969153996,
      0.463628937040666,
      0.617937227691795,
      0.511523926762689,
      0.61918060373153,
      0.535949217995316,
      0.559640643273976,
      0.59250302479235,
      0.658232476399451,
      0.478176717908226,
      0.50983793428877,
      0.548881563794808,
      0.509155744263648,
      0.678253430422707,
      0.583356064168274,
      0.434292609782917,
      0.410021985764892,
      0.407705555873488,
      0.605186052138197,
      0.412348539235071,
      0.468940078805707,
      0.533811559292583,
      0.547150941235565,
      0.496569494665247,
      0.50059970367692,
      0.583845378097911,
      0.534868568943654,
      0.639978002013915,
      0.545855150154238,
      0.490074403701018,
      0.540135714562348,
      0.533433013695542,
      0.554064379455569,
      0.475460046380171,
      0.571678739071888,
      0.624374213413499,
      0.665037071934365,
      0.56075862241237,
      0.586186807356233,
      0.537531805643405,
      0.537415900234787,
      0.641279247769786,
      0.515594655439656,
      0.48315531456494,
      0.457079105251234,
      0.50522586178025,
      0.504685880045925,
      0.533858861253674,
      0.613612075068559,
      0.406873777041369,
      0.59504807680553,
      0.560509647910314,
      0.548819407367344,
      0.575847573177507,
      0.519304863014138,
      0.607626664412459,
      0.515551374054414,
      0.502543434746776,
      0.456303670466104,
      0.48197741224033,
      0.490685906307273,
      0.406406830746356,
      0.605013678572785,
      0.592340624593402,
      0.511367272683081,
      0.547822323838483,
      0.449121478565675,
      0.490923008841734,
      0.489722645134296,
      0.53885248143218,
      0.534385330688501,
      0.431547479006203,
      0.489653978448325,
      0.497797216814252,
      0.515234138075046,
      0.453512050726671,
      0.610659056406801,
      0.489032118973116,
      0.54824523130672,
      0.640957046116987,
      0.452681845188788,
      0.717520769796084,
      0.465574910620494,
      0.499552232628845,
      0.554039668337917,
      0.60818349951196,
      0.502141534502026,
      0.59163569394517,
      0.620252843281347,
      0.577289818360321,
      0.617980169019302,
      0.713831173375424,
      0.676190620785299,
      0.699944278771367,
      0.594513470412504,
      0.617960617658079,
      0.682639470821283,
      0.497301513981532,
      0.582465869703478,
      0.458959969626146,
      0.427612349096865,
      0.626999256774834,
      0.604908894814284,
      0.508233491535438,
      0.57021236902488,
      0.540210822842781,
      0.611490526798706,
      0.370958375562091,
      0.39044721214539,
      0.503926152047061,
      0.706531824634152,
      0.484251203725502,
      0.449789788424279,
      0.506260322831225,
      0.679895561023206,
      0.358035538366485,
      0.5019839255255,
      0.670232062978112,
      0.557239517315603,
      0.43976558675356,
      0.498690725396679,
      0.485013775053322,
      0.414129189603665,
      0.392958830344793,
      0.434945827187936,
      0.514192907250015,
      0.381952047703278,
      0.76767297294145,
      0.543612318467321,
      0.487028089747514,
      0.468046644988368,
      0.444173954824837,
      0.493364375762789,
      0.398273440155164,
      0.722313531352448,
      0.660061385558997,
      0.606614273950966,
      0.658058928059038,
      0.591322783364086,
      0.536581120575736,
      0.565129524466207,
      0.568670742666669,
      0.568306526522295,
      0.698018549281048,
      0.5849944974384,
      0.43631072192029,
      0.60803567497566,
      0.586984298467422,
      0.579091606386832,
      0.444833595971966,
      0.477667139869926,
      0.540675723672055,
      0.632007528916737,
      0.553435017091725,
      0.715362522879088,
      0.450592042381974,
      0.617398595005663,
      0.688006761685873,
      0.51433507088783,
      0.466585342097334,
      0.533398796511127,
      0.614425688643294,
      0.417368492786315,
      0.497133246712404,
      0.522572344662284,
      0.545572008239635,
      0.537655411335185,
      0.545703617716259,
      0.561115992334195,
      0.586553960534101,
      0.470672362412463,
      0.597753976069434,
      0.511265619787311,
      0.542428427613385,
      0.40907556103203,
      0.561089622590711,
      0.604529465271945,
      0.533399092527932,
      0.586180296055957,
      0.416707371689765,
      0.649887170209384,
      0.492555720025941,
      0.493373772908688,
      0.545910626162766,
      0.582573197907136,
      0.576201450372672,
      0.57191478054641,
      0.635528659136571,
      0.549803104581012,
      0.583408361140308,
      0.496653156527235,
      0.507198818059623,
      0.699108826944098,
      0.540714293548238,
      0.60346609355098,
      0.65891105274521,
      0.521150904623139,
      0.570355288800356,
      0.502880674425433,
      0.550202521392989,
      0.609214808117786,
      0.545621887797924,
      0.512629350766979,
      0.589081309669057,
      0.70222207175959,
      0.620943009248507,
      0.636784926349485,
      0.584447040832844,
      0.626098880910243,
      0.576724602566101,
      0.677307426119035,
      0.518016684987702,
      0.555665672079449,
      0.335543060451168,
      0.590675147200638,
      0.665782498620183,
      0.52730706580268,
      0.586452631997544,
      0.484592102925875,
      0.507991238775877,
      0.655891491537927,
      0.584354218509258,
      0.489395463404381,
      0.512241143721865,
      0.623986000374616,
      0.499594299551593,
      0.559213580762445,
      0.542410103660805,
      0.64479137318035,
      0.530404456243401,
      0.568052043973536,
      0.597070856302045,
      0.597973562514988,
      0.676371672007761,
      0.496678299717762,
      0.422422082301451,
      0.526929649127561,
      0,
      0,
      0.414167134855118,
      0.460658167320936,
      0.560577145156402,
      0.478313081443827,
      0.467409708384118,
      0.348384986467563,
      0.492755644766636,
      0.42742499211939,
      0.361138722344194,
      0.411645386799386,
      0.440667248056721,
      0.433187163719579,
      0.487199141128999,
      0.445289996859461,
      0.412020921179455,
      0.47504049986303,
      0.416111701011728,
      0.501995280051073,
      0.439287309789051,
      0.383095006860109,
      0.522799660484484,
      0.358011117470337,
      0.489828543015723,
      0.428169703624718,
      0.481476220260415,
      0.580613362784761,
      0.555016894468309,
      0.692702680371274,
      0.690103512642489,
      0.677988167798197,
      0.701543957946225,
      0.760881335641862,
      0.647823716615909,
      0.801645498745453,
      0.637809214407785,
      0.687769449196449,
      0.676780069584674,
      0.712089305139731,
      0.669968092124203,
      0.644393204234994,
      0.738035002374245,
      0.488026990578441,
      0.61370131415673,
      0.513535952456204,
      0.632734049370151,
      0.588650840184581,
      0.553886575221955,
      0.585810341528203,
      0.651323552831366,
      0.49548102773367,
      0.47555516377231,
      0.636220579359278,
      0.430227125720747,
      0.453070785038663,
      0.472884577042786,
      0.332859085456538,
      0.612820883807237,
      0.750722925718368,
      0.774570551790195,
      0.582209665737198,
      0.657601865931312,
      0.717560621852038,
      0.716637039815872,
      0.728486555892866,
      0.798790905286917,
      0.701021276445595,
      0.6042931829482,
      0.742038818890812,
      0.663176228279757,
      0.601899658518408,
      0.562529537323278,
      0.75363669829885,
      0.580254544794658,
      0.756102470679448,
      0.537566237377409,
      0.707588837826315,
      0.676689256200198,
      0.557365470789467,
      0.604415876131056,
      0.445782635873771,
      0.498438532548532,
      0.525205288608897,
      0.402907126723907,
      0.407274244212583,
      0.538359435015179,
      0.697875401697966,
      0.643486861235006,
      0.719192563645108,
      0.742817768980797,
      0.72539667035842,
      0.716061810190666,
      0.757672658702909,
      0.685203855657571,
      0.712568678409787,
      0.735982688631025,
      0.68162885116453,
      0.731095843710084,
      0.5886661934127,
      0.601182417679258,
      0.55184933692006,
      0.524748003779593,
      0.500634984731094,
      0.554671485263187,
      0.725598527152387,
      0.644337050941314,
      0.575187796593661,
      0.65692210799634,
      0.532012022917198,
      0.468755816650642,
      0.601255939547714,
      0.78989938804274,
      0.6003742460056,
      0.468669399043909,
      0.663798199174288,
      0.718347993729688,
      0.708461006766593,
      0.667932316630938,
      0.63944345117152,
      0.720907666655203,
      0.605233089890366,
      0.615017027541867,
      0.754147436529374,
      0.705913275056774,
      0.597333800876158,
      0.676442138413303,
      0.756374419747338,
      0.647207551604235,
      0.550523890450203,
      0.529152532059765,
      0.47872103337728,
      0.542185791397015,
      0.447608252392772,
      0.611421044641518,
      0.487855632406256,
      0.721890645226791,
      0.6959578246084,
      0.508300572722828,
      0.711101257221774,
      0.514068083781702,
      0.585171242528486,
      0.480362032269247,
      0.556428719324394,
      0.690506633384816,
      0.632057129418776,
      0.690866014672166,
      0.715026533690469,
      0.717784646076157,
      0.713170365750669,
      0.722900328991809,
      0.727176117857795,
      0.649021004236375,
      0.588764266174772,
      0.683896543031368,
      0.688612696172579,
      0.64475933942558,
      0.611060418663815,
      0.652316718259239,
      0.640891185825976,
      0.588388970835226,
      0.574369871057897,
      0.679350629272067,
      0.471206290452491,
      0.658430419954627,
      0.383792968795461,
      0.693858531301512,
      0.60776101586739,
      0.545496889915878,
      0.624220961125046,
      0.491954572119928,
      0.539358225086206,
      0.772396138806847,
      0.766676622963502,
      0.70913250008039,
      0.603797765296469,
      0.618545277214514,
      0.672658758658469,
      0.741122276316807,
      0.777667238507744,
      0.735108515975892,
      0.647067108297301,
      0.757497680392573,
      0.747157306429951,
      0.537495499653531,
      0.544373011584844,
      0.532015413413967,
      0.458426303298018,
      0.505401457715626,
      0.664308664449542,
      0.599423051212585,
      0.557479893380391,
      0.545857264409279,
      0.488665288776858,
      0.497262617592369,
      0.564412270298952,
      0.540874489955379,
      0.557759707855398,
      0.579547667540994,
      0.444591799722338,
      0.765824994269911,
      0.68672676873113,
      0.692583135633257,
      0.769051133792208,
      0.834738839767285,
      0.716991194948773,
      0.79006926281197,
      0.658406529207391,
      0.675327592377435,
      0.720972246849965,
      0.689375399726409,
      0.685221501611211,
      0.730851725437441,
      0.723688528622524,
      0.613384610214805,
      0.610624984131617,
      0.605110029762464,
      0.417718757475189,
      0.707612749502717,
      0.728519384571861,
      0.564644095502601,
      0.449346989832019,
      0.478862697718249,
      0.518845975447452,
      0.37714183207369,
      0.492525094126503,
      0.408386810986225,
      0.617633694808902,
      0.56742290312595,
      0.647759273671704,
      0.630689822206494,
      0.743398502208588,
      0.703901355936452,
      0.681602181295764,
      0.661233930045699,
      0.625708977722928,
      0.673990899141767,
      0.696592722438714,
      0.620867061214851,
      0.560934120060523,
      0.730952036828993,
      0.738399921596057,
      0.724036053801442,
      0.562034309864224,
      0.517567507291131,
      0.471895655636144,
      0.656826091491523,
      0.773450768743845,
      0.641231608713237,
      0.587645607175258,
      0.715760779152227,
      0.630762397086408,
      0.440362903675594,
      0.627066982686294,
      0.450016119125193,
      0.583993312361392,
      0.446008898094796,
      0.72913780603553,
      0.75217255264371,
      0.657523845205976,
      0.577200652685965,
      0.720097918875709,
      0.644097567942249,
      0.778767140842294,
      0.763563438452287,
      0.698211731790722,
      0.610454721899599,
      0.717862378712425,
      0.769907184580775,
      0.606362602876903,
      0.582560175864935,
      0.664866697332142,
      0.551722586001094,
      0.548720963575936,
      0.547948269030145,
      0.655357966227251,
      0.683701335196356,
      0.610728597943567,
      0.444544086102828,
      0.475052534065289,
      0.517515176316862,
      0.634412558469092,
      0.455906505808192,
      0.503138962477696,
      0.46498380804782,
      0.729435172715969,
      0.735024319477394,
      0.752852161972841,
      0.726917451215498,
      0.753892404561998,
      0.734173109826404,
      0.728157058745331,
      0.719955721277158,
      0.726834490595684,
      0.682053789751527,
      0.689544917181056,
      0.517011081195992,
      0.560647502536298,
      0.509788439612436,
      0.756761734357616,
      0.586460310779,
      0.512071548040694,
      0.553563325237531,
      0.542445331620974,
      0.622587855488365,
      0.535021566410076,
      0.438293843363177,
      0.516376611993705,
      0.603108120102388,
      0.531146013128511,
      0.527874947364583,
      0.639508078818961,
      0.457639496767347,
      0.733564778069602,
      0.69290211514991,
      0.748869464209505,
      0.648484760853059,
      0.711381524992446,
      0.761033167192231,
      0.699868444412993,
      0.655572840930048,
      0.742286488263409,
      0.653125148940592,
      0.784053706061724,
      0.649505627964772,
      0.668601662939473,
      0.630796718139007,
      0.536469803776349,
      0.601659390660202,
      0.505702172241172,
      0.455285943287286,
      0.501634328704354,
      0.583698234477573,
      0.571560646474423,
      0.370883390072746,
      0.513908739370787,
      0.477232017650185,
      0.604434308371926,
      0.473309866156787,
      0.572026029957164,
      0.480399670064366,
      0.538572125384283,
      0.718304236393572,
      0.65973581078179,
      0.747611353958505,
      0.745498485474119,
      0.747302141514488,
      0.701551993192291,
      0.669361810748985,
      0.651237877608852,
      0.711675484917328,
      0.663439071092177,
      0.652545988348828,
      0.671397141991993,
      0.596488385020961,
      0.618224503114127,
      0.608332517403521,
      0.604007053524059,
      0.573806088155748,
      0.697008394217225,
      0.46195047108719,
      0.53754531839823,
      0.482570993042518,
      0.427211507454365,
      0.682437074252438,
      0.567322374926441,
      0.49534276112647,
      0.606286000821087,
      0.489602774038952,
      0.616021718393486,
      0.411535875718212,
      0.407832396235551,
      0.443315290826817,
      0.632751648491084,
      0.432268644078923,
      0.465916519373627,
      0.505431308339623,
      0.742511297011866,
      0.422807512228011,
      0.476740995099435,
      0.582638846633217,
      0.519776168055575,
      0.42250344865556,
      0.442809122012563,
      0.484115951516411,
      0.446070900780179,
      0.389446362958724,
      0.325281972925075,
      0.518480775080407,
      0.4461982255519,
      0.783581054417453,
      0.558314725701421,
      0.46492132288734,
      0.5236345856345,
      0.530466503050739,
      0.445676179323355,
      0.442185729671253,
      0.749558424697324,
      0.702135476455544,
      0.577760610616826,
      0.619042984404596,
      0.748385355950734,
      0.73761416974983,
      0.688843767354291,
      0.772823459473076,
      0.656809322402971,
      0.727588111089071,
      0.7339863838163,
      0.668970384197579,
      0.668928118534776,
      0.628629450290623,
      0.518794500288797,
      0.537375855895855,
      0.477271280685218,
      0.565926337496815,
      0.536661847152447,
      0.594458379642198,
      0.635269277151876,
      0.496198570136865,
      0.636102096868916,
      0.688486544617501,
      0.538848243765403,
      0.469687032940273,
      0.55341683260771,
      0.565270900233293,
      0.493471163415645,
      0.579785466469545,
      0.680245302586048,
      0.623449136045237,
      0.657713298987619,
      0.7478593274565,
      0.708719146337791,
      0.599043663329641,
      0.582543824699398,
      0.717051106513828,
      0.68776572244838,
      0.679104908714304,
      0.53276263163278,
      0.77023105507786,
      0.501612385000824,
      0.523051150432513,
      0.642078247003147,
      0.473224599841462,
      0.67611489951998,
      0.528959543822595,
      0.477564737980642,
      0.581967222938883,
      0.535552199015075,
      0.560663348608959,
      0.667375581618373,
      0.628939472109182,
      0.530637018879904,
      0.661253021545444,
      0.50072182485002,
      0.617971917224714,
      0.696380869623055,
      0.636261137590631,
      0.627103631347055,
      0.704624931969718,
      0.682709493411439,
      0.697719643323066,
      0.733295620179296,
      0.743657096566317,
      0.584996194005439,
      0.556881237673382,
      0.672121033671245,
      0.671084411087433,
      0.663948893568643,
      0.582912423458744,
      0.653858700372797,
      0.636858275060668,
      0.634493138554159,
      0.532455640835307,
      0.69768830101654,
      0.47695679167167,
      0.661610640700775,
      0.330304903283813,
      0.648200425971715,
      0.607439952338727,
      0.539112616752487,
      0.646526270482608,
      0.516572769464553,
      0.522739622103854,
      0.825730124470658,
      0.818489392577913,
      0.788087411040575,
      0.788713373370816,
      0.772635635570522,
      0.734468381057963,
      0.784753104613738,
      0.821930332020456,
      0.750195671298614,
      0.724066869955237,
      0.793048163046547,
      0.791838091655417,
      0.470857495534692,
      0.549393988079926,
      0.517870038250474,
      0.386181233060385,
      0.544312626415716,
      0,
      0,
      0.470088682645143,
      0.461596147288314,
      0.536623057455832,
      0.448646590120861,
      0.4151439439513,
      0.423814928286977,
      0.531764460151992,
      0.530631884559037,
      0.404747079569501,
      0.426154472521762,
      0.492262258499636,
      0.480584814512553,
      0.44363741726953,
      0.462679207063362,
      0.392787834683083,
      0.463330263161526,
      0.364666614377781,
      0.456353531470026,
      0.385744926766924,
      0.407749868762457,
      0.447884801685154,
      0.357755704406939,
      0.482811724215685,
      0.405236156569035,
      0.39021544762137,
      0.419776819701583,
      0.491066717196701,
      0.677905588288379,
      0.715626971233243,
      0.802373079694393,
      0.696420901804316,
      0.766521823503312,
      0.6172715863285,
      0.795812981100256,
      0.63053975636596,
      0.66945057696592,
      0.742740296085546,
      0.708505851660229,
      0.68107987160171,
      0.678294138662078,
      0.693820721380206,
      0.478727821265636,
      0.537953590234345,
      0.805303637724659,
      0.647578044849473,
      0.803293450317835,
      0.588988476285172,
      0.698166334763289,
      0.554243024155199,
      0.496029786042217,
      0.552337628337769,
      0.666552587474208,
      0.501803029545844,
      0.581073060520002,
      0.445114552474171,
      0.362122903763056,
      0.647279718581099,
      0.761783266861238,
      0.767073687715084,
      0.578666894872881,
      0.674280024729296,
      0.699746242884769,
      0.722694243631215,
      0.693935666077415,
      0.808452484756718,
      0.688021322777678,
      0.726216426389641,
      0.730984537334203,
      0.700418292510827,
      0.547506121800541,
      0.524201762642852,
      0.838924608507387,
      0.606276178357396,
      0.741480725908498,
      0.62509715073452,
      0.821610407216761,
      0.52259446068958,
      0.621854047399825,
      0.536275419100948,
      0.518803663993195,
      0.567334172256864,
      0.517683607584319,
      0.455657386046014,
      0.459986706594258,
      0.532181336622582,
      0.665975573967391,
      0.667292126152603,
      0.705756347920427,
      0.72004077810493,
      0.775959023682626,
      0.695242770309659,
      0.74951357872929,
      0.668634609821175,
      0.712568749198708,
      0.690879451932719,
      0.636082073580047,
      0.650952559575578,
      0.598165806780195,
      0.582854078411643,
      0.630086057122357,
      0.60467200825194,
      0.497983113796446,
      0.618957421160966,
      0.576311322425253,
      0.636562489408759,
      0.518091867795183,
      0.557012943960549,
      0.600432433236718,
      0.614276335594344,
      0.661436638030889,
      0.761899041310298,
      0.627467109100842,
      0.449231334339649,
      0.626128447096307,
      0.782301267459277,
      0.702793126775839,
      0.692464767654644,
      0.6347778291147,
      0.696917689069362,
      0.576221179628157,
      0.619627814124759,
      0.722503858000534,
      0.700554296141725,
      0.589356406887489,
      0.600824014354014,
      0.712121151750418,
      0.519054579398226,
      0.471649850926558,
      0.580613450482927,
      0.536526303433361,
      0.594346168876433,
      0.462481788865569,
      0.512940898984536,
      0.476482598073787,
      0.672611701790269,
      0.659486178901123,
      0.535432611838207,
      0.771930915665358,
      0.571277867012637,
      0.559888304555126,
      0.504536112894543,
      0.553562627512323,
      0.71850176100675,
      0.612128318934943,
      0.667658250436332,
      0.699454220899675,
      0.670054878974564,
      0.691647416397507,
      0.700188966690257,
      0.695699116109201,
      0.625688897697451,
      0.606595446764305,
      0.683974037441757,
      0.715515481858214,
      0.596794069068933,
      0.561438817149801,
      0.635944805304497,
      0.6431476888463,
      0.578594072838127,
      0.57087692395436,
      0.664915833016507,
      0.477523548458801,
      0.65930879533932,
      0.388179918981074,
      0.644838902215973,
      0.633768670047126,
      0.479674585168036,
      0.594675949794168,
      0.461896169043586,
      0.541284233827547,
      0.743470435421828,
      0.715061114424475,
      0.74428917643924,
      0.572621841552851,
      0.559727230630929,
      0.70434988849344,
      0.723792886294914,
      0.749904040468854,
      0.717197923529559,
      0.661535550261176,
      0.736713663062283,
      0.709923272221643,
      0.49490391889222,
      0.503133319346892,
      0.570747012642996,
      0.487405821758284,
      0.528123681818942,
      0.624228446782094,
      0.605418419443777,
      0.501957399863462,
      0.53064992033721,
      0.439330152533766,
      0.436798480889062,
      0.574882232721067,
      0.566077647744219,
      0.501106037442542,
      0.496323460374166,
      0.451913139850393,
      0.785718848939492,
      0.706836451040501,
      0.687436018728383,
      0.818336524890849,
      0.880215749651507,
      0.746825107081434,
      0.779353755819338,
      0.650209034096934,
      0.658334591079323,
      0.695386903894431,
      0.66026718300943,
      0.682783499474849,
      0.800578013520703,
      0.773017695022728,
      0.708171220943897,
      0.680836238439823,
      0.663590972603352,
      0.398954488898812,
      0.769425324937899,
      0.757367942141883,
      0.536109885683718,
      0.454615306613439,
      0.460752861303459,
      0.464083686631171,
      0.42698111216448,
      0.4777340753439,
      0.431043745438829,
      0.64844049500431,
      0.531605961365531,
      0.688970460264999,
      0.63525444694003,
      0.788349743338001,
      0.820365775189527,
      0.735858337979192,
      0.670872155096861,
      0.606622016276853,
      0.679117821227483,
      0.678906430062114,
      0.64043263958445,
      0.563551395964728,
      0.735606689514302,
      0.804419935719666,
      0.779086984145988,
      0.703259948597418,
      0.545808159372434,
      0.529599192051981,
      0.762932214244389,
      0.795812445006486,
      0.659747805748799,
      0.615184059880381,
      0.687241710502398,
      0.657994841941499,
      0.466349075767148,
      0.590833481185492,
      0.458874655808684,
      0.648733655648646,
      0.465790381162258,
      0.716390681031017,
      0.737456210898546,
      0.624589476760395,
      0.543091344105805,
      0.746711620352667,
      0.619209637562722,
      0.754036809487629,
      0.740626277207071,
      0.673957503322002,
      0.586449309077053,
      0.676195695496067,
      0.780864118443082,
      0.630029309040276,
      0.562571262245765,
      0.622270553963645,
      0.569522603995961,
      0.500424014973965,
      0.600246337321683,
      0.622577167701945,
      0.679934558934212,
      0.551172740963691,
      0.460205149717878,
      0.553284330035112,
      0.58473983521441,
      0.650752439113801,
      0.590997278564069,
      0.520233363463401,
      0.512156554806056,
      0.715020085462149,
      0.719097131964038,
      0.737772145090907,
      0.736590132656721,
      0.796940327898177,
      0.713999000880818,
      0.726514630275411,
      0.704547690746594,
      0.769439844982818,
      0.651593650186033,
      0.637102357422942,
      0.567098563647765,
      0.562620263352555,
      0.508654273710202,
      0.790834562828858,
      0.523237877773014,
      0.522487399841972,
      0.573930707691549,
      0.559701068688895,
      0.606677291969219,
      0.541898455540826,
      0.384451209586839,
      0.615099015776989,
      0.682718874929381,
      0.474779706655457,
      0.558008721284475,
      0.665163340237002,
      0.489470641261392,
      0.714990745022793,
      0.666276111291813,
      0.717366565785191,
      0.63798175338622,
      0.707754302083502,
      0.761372481801044,
      0.693410629349521,
      0.637837915147349,
      0.716447528310691,
      0.653748859332102,
      0.7683320566114,
      0.647263645019653,
      0.659917378951424,
      0.594161590827886,
      0.614269764447053,
      0.617129159018108,
      0.542358723100699,
      0.497306054937729,
      0.519255799293341,
      0.574685427430908,
      0.579968559241162,
      0.446313167435854,
      0.487245000236484,
      0.534179409900751,
      0.601871798490289,
      0.400330038252984,
      0.57881101728041,
      0.45547437003144,
      0.58700385794486,
      0.753796089380432,
      0.641933401416992,
      0.738200937203525,
      0.722112054640022,
      0.735789457265468,
      0.686835060917417,
      0.680068657712381,
      0.607167571707689,
      0.739738095172783,
      0.671940322749413,
      0.670207092891113,
      0.688122118948794,
      0.529765697943442,
      0.632703665412592,
      0.619952786699187,
      0.585662710183586,
      0.492722126949972,
      0.689760676243061,
      0.47352742159692,
      0.468917141131587,
      0.53161774049093,
      0.463198095489937,
      0.676546533303008,
      0.637392798827542,
      0.477573785329797,
      0.637778903231865,
      0.457012073649061,
      0.629037399068228,
      0.476714127942648,
      0.427686156018478,
      0.541809097451383,
      0.488078447679372,
      0.429197283409875,
      0.438771703453218,
      0.512942071858123,
      0.565171591405641,
      0.410717803134817,
      0.459275411756024,
      0.575217429896605,
      0.389650661499092,
      0.497479980520219,
      0.349125102373503,
      0.426834796090837,
      0.434245578565648,
      0.400243305575241,
      0.32567403511316,
      0.453418673782809,
      0.45657919850692,
      0.618560247776252,
      0.518908206893548,
      0.678520554535496,
      0.466412446620087,
      0.620001660881137,
      0.463928149652963,
      0.530684278629143,
      0.708057352553989,
      0.681798971987498,
      0.575203060964124,
      0.593095968115621,
      0.724511650082411,
      0.728695795123372,
      0.661803397860173,
      0.760912993840401,
      0.644970557217933,
      0.694295679185288,
      0.700337473750663,
      0.661144127521041,
      0.66399342163246,
      0.63446207738376,
      0.500973763964429,
      0.61610223689241,
      0.544377386397247,
      0.566351247566858,
      0.473162176153094,
      0.604677869173071,
      0.648291107705144,
      0.511503065309153,
      0.56495685969211,
      0.58941551703691,
      0.542155450834107,
      0.436322988387709,
      0.42423856133645,
      0.538380345738966,
      0.45976860535115,
      0.641083999131215,
      0.672736619746073,
      0.615362580036475,
      0.6690729773864,
      0.73705984431095,
      0.6780123304955,
      0.567807725645405,
      0.588033218145699,
      0.709402278008696,
      0.681451978609949,
      0.631818618306404,
      0.55172669062564,
      0.73841389048626,
      0.459663667686593,
      0.572547916386074,
      0.723268578154761,
      0.523970190207504,
      0.667055946994421,
      0.475562823096195,
      0.506708702317722,
      0.573543404621954,
      0.652554440438886,
      0.509132621034462,
      0.696674869232365,
      0.576994714347351,
      0.556211664529941,
      0.658834477523816,
      0.479118323265948,
      0.622893355286712,
      0.710332670290071,
      0.639543831366326,
      0.570577303537185,
      0.698337907557725,
      0.63502644566068,
      0.673691075495611,
      0.705560592535306,
      0.718881439393862,
      0.57104423070031,
      0.585185153127109,
      0.661111579633142,
      0.670507941482871,
      0.613256689347285,
      0.523590567652492,
      0.637258215766249,
      0.644065456605092,
      0.631309800319217,
      0.4878712783878,
      0.693261867844732,
      0.47693061667263,
      0.64984927997616,
      0.354843246582656,
      0.59672593446746,
      0.613971061128822,
      0.485978466117981,
      0.585040718389457,
      0.503268835170746,
      0.534156011259051,
      0.782319608923781,
      0.783594741659824,
      0.788807467784982,
      0.761700827102893,
      0.732994419217635,
      0.701954771073769,
      0.763544967619523,
      0.798077715550742,
      0.756202726872984,
      0.704806918950349,
      0.765050682218955,
      0.775168151297715,
      0.454995978029519,
      0.505308159188125,
      0.533956063934991,
      0.469328751039315,
      0.5760747680777,
      0,
      0,
      0.394480690568858,
      0.439416641017461,
      0.456787427461825,
      0.324411542728528,
      0.296946115489255,
      0.370570605559569,
      0.443557199614288,
      0.430384889637318,
      0.351954575769232,
      0.436988084741142,
      0.39986811073022,
      0.471946010777642,
      0.337013340759252,
      0.386145282646096,
      0.346678918593244,
      0.364052555158064,
      0.379261724426858,
      0.380996653430876,
      0.341836329759376,
      0.403280917890239,
      0.444757169058421,
      0.324069394482055,
      0.423851945086318,
      0.329891075904184,
      0.370772158717529,
      0.362030345136408,
      0.427789412123303,
      0.647765962798512,
      0.571704509714879,
      0.707408971166464,
      0.546306363782219,
      0.558734907105425,
      0.498686928611789,
      0.579637794564562,
      0.490314557513306,
      0.564549225993344,
      0.661523980489689,
      0.642885780756904,
      0.599053042638662,
      0.637570405328647,
      0.54004728056041,
      0.499580330444606,
      0.546208049523472,
      0.832054389360468,
      0.580916124758653,
      0.785949279268346,
      0.614298109850481,
      0.615415796732791,
      0.542258682354941,
      0.49538093499883,
      0.761856296384824,
      0.614148141007279,
      0.476496338493924,
      0.56339294193909,
      0.473007156187898,
      0.449327957040458,
      0.547044949196223,
      0.604811997335365,
      0.608348997875134,
      0.439308042194293,
      0.580004751510541,
      0.540905867417267,
      0.539808913043937,
      0.561446608644375,
      0.616765984745405,
      0.582235783030971,
      0.684864699733317,
      0.563821060827526,
      0.697159052506615,
      0.506695656392332,
      0.465018629853003,
      0.707848645031849,
      0.602968250977285,
      0.684225522553427,
      0.551622953537724,
      0.704355977281634,
      0.517427774780232,
      0.572404608711828,
      0.449066739166988,
      0.6236408481011,
      0.620957977901112,
      0.468021729208369,
      0.387502010088477,
      0.498094188720433,
      0.522284144356442,
      0.530535964400893,
      0.603163570159824,
      0.612031605703718,
      0.615003940617584,
      0.752108508218357,
      0.598866559770922,
      0.54890589230884,
      0.585602860274179,
      0.529660695126329,
      0.58551608024005,
      0.601582061718711,
      0.458935406453295,
      0.567326557997221,
      0.505491618183945,
      0.654315289385235,
      0.673225278764023,
      0.463083007414949,
      0.694957021520597,
      0.484654328697786,
      0.605482851935911,
      0.483002091048009,
      0.451547366224035,
      0.550138270434975,
      0.579248152168814,
      0.610270096640015,
      0.503401126263232,
      0.573362079228377,
      0.429275945244429,
      0.470813244432331,
      0.677140719258112,
      0.615029790255672,
      0.587901048776134,
      0.565514256172719,
      0.526122031032761,
      0.482880353287429,
      0.432677846135489,
      0.576291356516095,
      0.571743944078183,
      0.603966079560577,
      0.523156963578921,
      0.572698400791714,
      0.435017269795047,
      0.419212496901603,
      0.556352900463359,
      0.501311523484057,
      0.690492969089637,
      0.46152657744248,
      0.453991027507083,
      0.442002878342035,
      0.587597055333934,
      0.602611441069324,
      0.500569949491854,
      0.619077542682449,
      0.473453208781864,
      0.500734742843833,
      0.576159705929686,
      0.424890385303339,
      0.708510743114926,
      0.555539414465496,
      0.621960119277014,
      0.599008811278398,
      0.57919295950195,
      0.537160671847295,
      0.580184976122101,
      0.607479358060706,
      0.655652538051776,
      0.630032829335606,
      0.568356954413245,
      0.713197308716302,
      0.626536943355604,
      0.571420358510195,
      0.628228957821909,
      0.557130444845086,
      0.502029405533867,
      0.544817327756508,
      0.635674962847661,
      0.483860254121899,
      0.587676382429043,
      0.383446825876019,
      0.660095558260291,
      0.61620819266028,
      0.517777337169481,
      0.530633526794692,
      0.473239974797446,
      0.528878626680533,
      0.655686096405267,
      0.542853156340693,
      0.666450678873678,
      0.504367221780361,
      0.51440165021181,
      0.663340529388882,
      0.589489015625431,
      0.542449744947532,
      0.524716613769927,
      0.616391508328548,
      0.474106709648623,
      0.499760960068583,
      0.467259341441256,
      0.514228334319351,
      0.566264064969545,
      0.455090278485506,
      0.480039542857913,
      0.605567336191588,
      0.535221674783478,
      0.494968105828303,
      0.518785946551243,
      0.386441033515977,
      0.399309993470611,
      0.556899529879689,
      0.590211153162263,
      0.473163110966206,
      0.544856830183996,
      0.357153815904781,
      0.775407784412168,
      0.641599695748534,
      0.555049848537927,
      0.644112268931317,
      0.67551239721364,
      0.622102140481189,
      0.582428750460226,
      0.455695859902334,
      0.562455285089547,
      0.504635919026859,
      0.395667564661884,
      0.469458928970997,
      0.772394583093257,
      0.621122186967113,
      0.575254166888171,
      0.593454157360505,
      0.571646389727563,
      0.366353104411223,
      0.614151079226406,
      0.713800002189363,
      0.570282959017435,
      0.403992966852157,
      0.434615814082901,
      0.436015371333086,
      0.397125107385474,
      0.462097582399551,
      0.448306859113329,
      0.523578845911032,
      0.527793301682335,
      0.718289942166669,
      0.563155231690634,
      0.630427098414027,
      0.723302875264128,
      0.676434313149274,
      0.588469411213689,
      0.543444810785694,
      0.542320773364205,
      0.535685583726196,
      0.544603347389524,
      0.459354388322884,
      0.659827111504011,
      0.710443561609148,
      0.802254123372819,
      0.697537909229461,
      0.565223910022173,
      0.460490831895644,
      0.663635403239466,
      0.582889932439954,
      0.533926922456439,
      0.466499660737033,
      0.552873558609225,
      0.641597885065493,
      0.430029913028832,
      0.571958287030377,
      0.460554580246683,
      0.463484798529952,
      0.43451753085935,
      0.719557301551857,
      0.631090821107994,
      0.506052799507736,
      0.452700781354007,
      0.629239121083118,
      0.616610412157522,
      0.524965236418132,
      0.64436399446069,
      0.685284366956319,
      0.530261055266521,
      0.54251282833167,
      0.562594799394253,
      0.558086446982721,
      0.517307220142672,
      0.568473074837047,
      0.510758170637776,
      0.55136230951441,
      0.52037453480857,
      0.449569760587061,
      0.686120673747722,
      0.59967142085769,
      0.366435352680873,
      0.507163673844666,
      0.466663053207269,
      0.649832513005613,
      0.562336552701155,
      0.534244744123637,
      0.481215348436326,
      0.619992469146533,
      0.606334278333285,
      0.601353288476221,
      0.723834040427053,
      0.577992468903567,
      0.540689338168434,
      0.576562079153272,
      0.74348786793036,
      0.626250211445389,
      0.548004382095214,
      0.501858866902058,
      0.52411508793349,
      0.559311177099344,
      0.507800141504987,
      0.721214293885793,
      0.467009251613723,
      0.481765544851191,
      0.518910108366963,
      0.500190770777911,
      0.621668842361888,
      0.495023997615893,
      0.400446350358842,
      0.530543161859173,
      0.609215723597015,
      0.512381287844291,
      0.504411195741435,
      0.605665388494458,
      0.509157454082432,
      0.525017387940509,
      0.497600425346886,
      0.535194162874241,
      0.519719671113003,
      0.589451490010755,
      0.589847815705238,
      0.617377165912153,
      0.5544076068873,
      0.524480575389926,
      0.573082913817217,
      0.539163902545708,
      0.462069803622298,
      0.639026312722715,
      0.561474260277291,
      0.637233696117716,
      0.54270764276602,
      0.56493942033209,
      0.527191654324654,
      0.528030230362282,
      0.501761168254392,
      0.521050957559394,
      0.45392366100968,
      0.373820597801105,
      0.462760401910533,
      0.480147584728669,
      0.313174100846204,
      0.590654150005884,
      0.499995619516788,
      0.527791607241424,
      0.712897752135969,
      0.530287972342777,
      0.67553224434752,
      0.48670389182468,
      0.57895575682365,
      0.526525735191284,
      0.669195104386032,
      0.501974362644267,
      0.737179824359783,
      0.605790798441564,
      0.615323228330139,
      0.690782357196711,
      0.572912231352563,
      0.564612233264681,
      0.680802689948813,
      0.55810601507597,
      0.518744045576723,
      0.654923290876568,
      0.475833754704073,
      0.470258331537207,
      0.52056348649616,
      0.467537738271069,
      0.64777972908813,
      0.680394971795387,
      0.518006380525722,
      0.655583629463723,
      0.419849181495155,
      0.631535000708667,
      0.436793813632517,
      0.404705411372132,
      0.457400284144922,
      0.485323526691146,
      0.516285124138327,
      0.434598940396563,
      0.483227822692698,
      0.359395966056456,
      0.390788094551984,
      0.455026374297031,
      0.536759250114225,
      0.391326156735856,
      0.513613090886382,
      0.343903490702374,
      0.340736837645245,
      0.380188689715919,
      0.428649894014501,
      0.38419141201672,
      0.365034895098882,
      0.39069579804937,
      0.416081082753574,
      0.456769568738987,
      0.742443310811774,
      0.464954240181418,
      0.499090092288559,
      0.472808362322453,
      0.493435055484903,
      0.657782032909891,
      0.625264167397056,
      0.565495532856768,
      0.562513103388097,
      0.487604179449294,
      0.455173611067703,
      0.612138910274071,
      0.509460328765566,
      0.57843250278201,
      0.559823261203764,
      0.541030607019982,
      0.404452690974948,
      0.462759051028947,
      0.556671765816895,
      0.443185428949415,
      0.607353002847937,
      0.664559714548122,
      0.488949306710384,
      0.39475488231843,
      0.531090922884225,
      0.573168172245442,
      0.504246582665532,
      0.37983840876209,
      0.381248568924273,
      0.575203213697483,
      0.367571963427026,
      0.357634107374438,
      0.495411807103007,
      0.458365212795594,
      0.637861504363703,
      0.534177931504877,
      0.585665281693793,
      0.522841894691817,
      0.595437643228426,
      0.557188063122449,
      0.561408769212564,
      0.454992007749089,
      0.583065149968681,
      0.494491182874623,
      0.53222439079803,
      0.419698825624694,
      0.578370676635686,
      0.545395390175976,
      0.577478281620047,
      0.685994049405474,
      0.496535560060706,
      0.645036902857282,
      0.464118475793949,
      0.521479681559265,
      0.526846269866406,
      0.681981457951821,
      0.450457350030316,
      0.702613774309306,
      0.590537432489575,
      0.448977574628474,
      0.667187073660395,
      0.500746475889938,
      0.523775868612399,
      0.69583954935835,
      0.544179507883271,
      0.547826200963975,
      0.645919890288728,
      0.590737479461235,
      0.534898802328149,
      0.505129296872618,
      0.607204500502093,
      0.605612428854428,
      0.633709776952572,
      0.515687580377814,
      0.689227563912335,
      0.605687337206024,
      0.542075232965304,
      0.575251144483585,
      0.569990439469217,
      0.552258275452054,
      0.497765487270724,
      0.668525826186181,
      0.513003254411431,
      0.586414337458389,
      0.394800678777139,
      0.619925539663421,
      0.61474526577367,
      0.519576266967616,
      0.557060112571394,
      0.519938851045687,
      0.44883739714112,
      0.62137716382804,
      0.588226079745346,
      0.573173437009612,
      0.523366416214245,
      0.577827366332182,
      0.615818628704019,
      0.540734771090299,
      0.566290174147133,
      0.614495113583101,
      0.545170358772167,
      0.539845316677138,
      0.614602894522295,
      0.44175450258356,
      0.432395560551757,
      0.51885271027701,
      0.385581572021331,
      0.506346187427168,
      0,
      0,
      0.456114084244555,
      0.441419723420923,
      0.50967696879595,
      0.427460279136675,
      0.354428915240702,
      0.425274088541984,
      0.545676251929254,
      0.393071814992847,
      0.446384431240446,
      0.564466945281631,
      0.357095087190346,
      0.404673273057907,
      0.38324713075505,
      0.390311030713715,
      0.257181646358423,
      0.27865158659246,
      0.287647285035189,
      0.330253269149523,
      0.298719089088412,
      0.350550026266197,
      0.362188414376568,
      0.21380204887088,
      0.327785875912596,
      0.251901530675157,
      0.349442698642363,
      0.351405139050905,
      0.397704295295272,
      0.643041842148424,
      0.537261211971332,
      0.470501749889262,
      0.4611243295452,
      0.46623732501046,
      0.447148222340798,
      0.529307682835206,
      0.499228604323695,
      0.492233408632031,
      0.551505641918392,
      0.570376285273605,
      0.52239854740696,
      0.579257380868142,
      0.476066579508123,
      0.466896225490045,
      0.590241980139761,
      0.716588600807902,
      0.581693441833701,
      0.557242558667924,
      0.510280843410996,
      0.477388467745573,
      0.52722087907976,
      0.495105219596827,
      0.737820512464331,
      0.630568160120116,
      0.416921666802019,
      0.453332023988543,
      0.524498276364617,
      0.407559921610279,
      0.522382579797527,
      0.471982173693343,
      0.579294756506544,
      0.409856264959929,
      0.556488880549182,
      0.48310279363133,
      0.498354654366867,
      0.526634775992466,
      0.439737698252349,
      0.574778518734732,
      0.550493901036022,
      0.50071442077339,
      0.496949144663386,
      0.432662379495562,
      0.504733450139957,
      0.522505439929535,
      0.54392579109206,
      0.61306003309463,
      0.491309472022524,
      0.451980165397004,
      0.482829101125486,
      0.536461701336209,
      0.378213480309863,
      0.597545399075066,
      0.50457807859969,
      0.441534324129744,
      0.322128858117905,
      0.458465467170252,
      0.488899818699089,
      0.492540147873501,
      0.582898935408414,
      0.575632066286967,
      0.553056380370091,
      0.539334428578612,
      0.501331781162537,
      0.582353735846576,
      0.591384721533164,
      0.475710161135356,
      0.551180257723532,
      0.589045618552133,
      0.449827614893192,
      0.572839198851215,
      0.511869509080091,
      0.521043635975687,
      0.712157650567156,
      0.463059044551221,
      0.675000865538494,
      0.519933711949907,
      0.621148218778355,
      0.456344140103755,
      0.339003518132944,
      0.476970563069192,
      0.526736661447222,
      0.444245186004737,
      0.38519445484103,
      0.582812715995744,
      0.417208290761426,
      0.534182360935491,
      0.556366370142715,
      0.570301561136402,
      0.587940355469487,
      0.475913356995673,
      0.518076290495514,
      0.525207101523036,
      0.389664028344098,
      0.536927847181897,
      0.536918603588176,
      0.465241344744783,
      0.496154505474197,
      0.574305568643965,
      0.467488826473464,
      0.35726321317196,
      0.521487356737385,
      0.434321846495663,
      0.708341420372558,
      0.4315515806351,
      0.433469864298307,
      0.456596539138487,
      0.641034942843601,
      0.61708010329657,
      0.463254775090409,
      0.381265117085089,
      0.390927728291792,
      0.470451308325159,
      0.639121899042669,
      0.455359253859198,
      0.705696031295161,
      0.572344448842652,
      0.615131448084543,
      0.566984544544752,
      0.586242699319528,
      0.553821895016954,
      0.551935006633977,
      0.59650404409464,
      0.665463176382306,
      0.554695672554242,
      0.530369334179795,
      0.619119698107659,
      0.62529616222384,
      0.531280520153775,
      0.630183914216315,
      0.585400074624142,
      0.564219167270895,
      0.52928418296888,
      0.605768249241857,
      0.488335045784582,
      0.585654429286951,
      0.372103558637298,
      0.631133610473534,
      0.555181586682164,
      0.525660667240073,
      0.562657820383646,
      0.525666043065035,
      0.499148159870152,
      0.608702965735169,
      0.571585675782608,
      0.646490724264986,
      0.511359346343676,
      0.519953544642858,
      0.614488429791327,
      0.55780857510692,
      0.555914508080462,
      0.460447528378407,
      0.64474379908196,
      0.539637013307403,
      0.487817935160332,
      0.456976479019287,
      0.472905555323858,
      0.637159082421389,
      0.467377100163099,
      0.556377034988371,
      0.538846217315024,
      0.490528188721968,
      0.511385023061903,
      0.525319154185594,
      0.504217815567037,
      0.396026534630909,
      0.539192629135663,
      0.557150898195506,
      0.480858306821442,
      0.511420357490566,
      0.377713018896095,
      0.618221964413408,
      0.581876610074574,
      0.548191913491553,
      0.490837856339843,
      0.502636757159985,
      0.607041790619599,
      0.517709833590341,
      0.476764381538104,
      0.524788500869547,
      0.505103332264793,
      0.408114450568691,
      0.457349903843068,
      0.719152690983199,
      0.549742045425863,
      0.517807656887835,
      0.451246688554547,
      0.463946132702528,
      0.400503997280383,
      0.487790116810851,
      0.589824434752014,
      0.532318422658364,
      0.346112452640922,
      0.347428431456003,
      0.447407702959891,
      0.398981184666025,
      0.414600902872315,
      0.440942474231262,
      0.478663103087394,
      0.550580876645383,
      0.613547314367135,
      0.522980627823243,
      0.454758175930499,
      0.405077007498897,
      0.584208314491081,
      0.55826056307432,
      0.482823274668794,
      0.539264115958826,
      0.476891042604307,
      0.54267528566491,
      0.442886297258887,
      0.569122753864788,
      0.537969525494157,
      0.706403387471631,
      0.540073228662833,
      0.53931342121116,
      0.439224567157132,
      0.540000366820195,
      0.454501564597605,
      0.449817407941965,
      0.455205076933725,
      0.512567787898844,
      0.621572078316145,
      0.363461395424297,
      0.50513693521117,
      0.543854630116795,
      0.35454851359517,
      0.376376291852109,
      0.588321194783422,
      0.655202905254432,
      0.520074320526003,
      0.477662463946444,
      0.495798881253609,
      0.672612256062841,
      0.508078064780588,
      0.442512271589864,
      0.656939597384897,
      0.470062313456911,
      0.550850728099206,
      0.492506317915892,
      0.502685853700307,
      0.524456775841356,
      0.490831587125592,
      0.51595221762725,
      0.513815550362084,
      0.413242715643908,
      0.450531451597361,
      0.657765186874284,
      0.573458717979812,
      0.31483112174106,
      0.513405897217879,
      0.417804512480246,
      0.619260103776525,
      0.390557186057104,
      0.660659128757645,
      0.494302264102,
      0.566368901543357,
      0.496825346317844,
      0.64002557151353,
      0.657119646968384,
      0.447901756522386,
      0.488670054021653,
      0.555415800612526,
      0.676295483646604,
      0.504623098136588,
      0.47715208753182,
      0.523265248664578,
      0.496236598807512,
      0.547766957120678,
      0.487556092203847,
      0.522619779780483,
      0.480345352634246,
      0.50851463173707,
      0.426483222504153,
      0.510593606493521,
      0.636229941660974,
      0.481227672008397,
      0.421820712188054,
      0.43283342195673,
      0.543804076043983,
      0.475400361985897,
      0.469514062355791,
      0.57726764060119,
      0.477587813159531,
      0.519035621394804,
      0.508024020733398,
      0.577397866837675,
      0.558343483527781,
      0.555207257080156,
      0.507530565593376,
      0.646634169759273,
      0.575917981483606,
      0.485915871583166,
      0.559034997341471,
      0.5898630372755,
      0.428362643896381,
      0.619902032091639,
      0.568402926391605,
      0.61812600062991,
      0.584741274471316,
      0.508240910355701,
      0.56912505296241,
      0.498156788744421,
      0.468156865657917,
      0.526874169726406,
      0.407575909435276,
      0.362394738604634,
      0.41090275187196,
      0.481176995924424,
      0.373955039607831,
      0.644140371016828,
      0.476523249198643,
      0.571472377025145,
      0.651099901035977,
      0.476975523806298,
      0.636713409688217,
      0.517386004024124,
      0.460720651667007,
      0.516867287610093,
      0.606499340197711,
      0.533304302134153,
      0.683693668843069,
      0.492662209430017,
      0.573736857201648,
      0.577484197898015,
      0.549525267840401,
      0.555134134074313,
      0.694520319204274,
      0.588264905717858,
      0.564209931690091,
      0.619094070233256,
      0.497877352274252,
      0.462008751469641,
      0.492738355111308,
      0.46421829899321,
      0.63209991631716,
      0.607248817062428,
      0.540221288157879,
      0.590498403609406,
      0.49922234073945,
      0.521225902396467,
      0.38918341709313,
      0.399949336911662,
      0.456052783527884,
      0.560013205467765,
      0.59300176536376,
      0.467743570343398,
      0.444145893593921,
      0.330815869749047,
      0.358832872476671,
      0.438411922472622,
      0.553956622732608,
      0.360036943993689,
      0.531166195516933,
      0.406395292416579,
      0.386931988082478,
      0.384680676700301,
      0.317794011227605,
      0.373026239677931,
      0.392897049094565,
      0.293509292723507,
      0.436331355849745,
      0.430531873962371,
      0.555752635252056,
      0.427104620566598,
      0.37415936865521,
      0.446769911639901,
      0.475221278681785,
      0.621220694839854,
      0.741756903135394,
      0.733650804114581,
      0.552836381518833,
      0.469587223249448,
      0.433090730005756,
      0.587709622983686,
      0.485446754944973,
      0.52245457963722,
      0.530915054410513,
      0.537057684844064,
      0.421324758506793,
      0.460103296866899,
      0.578365356863581,
      0.443278390385337,
      0.624778494132976,
      0.588917967204792,
      0.486015887213695,
      0.39660049205937,
      0.470856298647273,
      0.57856429757565,
      0.459588006600971,
      0.36022171490004,
      0.381413773770735,
      0.559376773430864,
      0.345756285028242,
      0.43915440450438,
      0.571836201433147,
      0.451031890094092,
      0.588923453341492,
      0.582169896784371,
      0.58457180881848,
      0.512581094278099,
      0.581505010711575,
      0.535950536286497,
      0.617147014933556,
      0.491627383534695,
      0.564919625083119,
      0.509553365046471,
      0.4840909481384,
      0.458621439637262,
      0.614505261375416,
      0.552910550716225,
      0.563924154829631,
      0.643429905643852,
      0.446372941207363,
      0.615655523360539,
      0.475843625328413,
      0.436159217262637,
      0.461644547218583,
      0.617029932719404,
      0.482884914357906,
      0.634788480283534,
      0.509903544853915,
      0.461406649390817,
      0.571281494491542,
      0.522698498584785,
      0.501158077948577,
      0.701587340566351,
      0.59347054601986,
      0.544703484742291,
      0.642549750257004,
      0.593786612729598,
      0.561445092535646,
      0.509692594439678,
      0.585296252096937,
      0.622972993506514,
      0.560357298785862,
      0.510430735584209,
      0.585714262902225,
      0.594742095236146,
      0.522956978449057,
      0.591820583445899,
      0.583723158074386,
      0.528184593135591,
      0.481980026422123,
      0.631321029800876,
      0.500352988360159,
      0.59875333454277,
      0.389424339419406,
      0.613175055586844,
      0.639464973706638,
      0.499760226193524,
      0.54553990275811,
      0.582014571364107,
      0.476860609480093,
      0.553822455329242,
      0.60969727679731,
      0.581287595929409,
      0.489846737358546,
      0.573143852954855,
      0.563048204340264,
      0.52480354106923,
      0.558857710282922,
      0.551071650345304,
      0.528029244171143,
      0.46934636302782,
      0.572706043304215,
      0.496472715409591,
      0.442580751857596,
      0.564091213202937,
      0.444021331777359,
      0.585945344074093,
      0,
      0,
      0.428282784366439,
      0.413063419050851,
      0.453718302562682,
      0.393974692461029,
      0.352564488164855,
      0.482591809238599,
      0.52421258412618,
      0.361958694167912,
      0.41888318696697,
      0.49874892131677,
      0.37165738832912,
      0.431605890591304,
      0.367047366819516,
      0.462086478007226,
      0.20808520099578,
      0.246389407464239,
      0.217753321350285,
      0.334418232587776,
      0.167310769165114,
      0.321302195272528,
      0.316400204256216,
      0.219245321950036,
      0.303228594726837,
      0.17599203367551,
      0.332088083722465,
      0.319708699919541,
      0.430072069316228,
      0.654013649687596,
      0.515808834579918,
      0.425598614937493,
      0.453384790465236,
      0.4394205500033,
      0.437048421097389,
      0.465136986831488,
      0.496167264953261,
      0.439895072981593,
      0.541804317929035,
      0.542495512131117,
      0.3829144704857,
      0.492146174638174,
      0.442942869308282,
      0.46140478734648,
      0.516571631204429,
      0.57518970326701,
      0.546334338904242,
      0.451749880857775,
      0.506481302430583,
      0.490126989433071,
      0.466876145834278,
      0.49244841600607,
      0.480464145249307,
      0.662874569330093,
      0.426468478565744,
      0.529855148840896,
      0.480910238211532,
      0.401409127869442,
      0.526811804055686,
      0.408417696876049,
      0.663626049984676,
      0.394075801802572,
      0.528964806859813,
      0.470097409359516,
      0.424904842671484,
      0.466859451827423,
      0.439043723221185,
      0.536472574346569,
      0.554916824453315,
      0.448193929179632,
      0.424698959648373,
      0.398762658689486,
      0.488000792161668,
      0.485937873366454,
      0.531771873505173,
      0.621367415713062,
      0.532481482667862,
      0.460979424817139,
      0.468221198282043,
      0.541818895321146,
      0.396424259280076,
      0.414290748860712,
      0.430697141820372,
      0.446344974477095,
      0.310523624447973,
      0.381901644407608,
      0.463371300093212,
      0.506483950026623,
      0.607840061597434,
      0.49113085747461,
      0.519234281604298,
      0.41699410387048,
      0.597440145810551,
      0.519298035200375,
      0.47867284049516,
      0.378925784419839,
      0.549489337376344,
      0.540253688442948,
      0.421967342548459,
      0.547159453316112,
      0.454515081289914,
      0.483412363397873,
      0.60725981792969,
      0.473136711346504,
      0.548112768988513,
      0.475843185349331,
      0.675634681806516,
      0.481507428688265,
      0.358911109285282,
      0.450823695404889,
      0.447641643506189,
      0.402548496530895,
      0.449009048397646,
      0.670412107252241,
      0.392292359075477,
      0.587874273040446,
      0.508854391332427,
      0.571464669472407,
      0.5272991238577,
      0.42663614606685,
      0.535238527868431,
      0.52295343199799,
      0.465042317585979,
      0.506361112612584,
      0.55443980679343,
      0.401426455054251,
      0.360946096466912,
      0.523833362774536,
      0.466861518991508,
      0.366050544159624,
      0.539724008592286,
      0.49021900421139,
      0.552139364057778,
      0.430985410107488,
      0.417351821378436,
      0.444418315068267,
      0.628487737328072,
      0.747419425840079,
      0.490003654806835,
      0.440377743939294,
      0.472184874224987,
      0.487637948175683,
      0.614712334490792,
      0.41062939878241,
      0.604174565183076,
      0.546702775255056,
      0.584464295547559,
      0.541800518583628,
      0.556130547640922,
      0.577858753417991,
      0.480658373258407,
      0.536522747838651,
      0.643094073722447,
      0.577485873036288,
      0.535281423250471,
      0.573673574608474,
      0.620138434951706,
      0.511739766832168,
      0.675127090638021,
      0.6845836260264,
      0.519282625575508,
      0.535482003331147,
      0.556571021482586,
      0.507470127811111,
      0.542095468705142,
      0.393122494240966,
      0.646424768186946,
      0.56303171249981,
      0.480876355271683,
      0.527945489832484,
      0.587960572628363,
      0.449112647043601,
      0.572342161701836,
      0.563634457845908,
      0.633679711407758,
      0.46786511606467,
      0.54266949906538,
      0.57218047268006,
      0.508613511826984,
      0.5064018923961,
      0.479691628424864,
      0.554416102438113,
      0.516149372400303,
      0.504834538472494,
      0.458766071365355,
      0.46239597802501,
      0.60442371805414,
      0.417303533638061,
      0.520704519025005,
      0.475605980758235,
      0.473226813313809,
      0.547879451982788,
      0.418233006823924,
      0.504725002252149,
      0.372727180484027,
      0.528364011839176,
      0.471610862497431,
      0.43507743645901,
      0.509468022214846,
      0.432513668564709,
      0.465310994195706,
      0.571176428978807,
      0.523548963508564,
      0.394296524298398,
      0.435277380552395,
      0.63122815743237,
      0.488469010452831,
      0.483632830834891,
      0.501129931541814,
      0.45711174418852,
      0.402569309103224,
      0.457445841528143,
      0.700017331273702,
      0.483163086062297,
      0.478403904784832,
      0.426552705674236,
      0.494933841211226,
      0.300260089884867,
      0.502024856635966,
      0.576593537696569,
      0.601369584921418,
      0.283696822232677,
      0.311796225421065,
      0.419775701984635,
      0.358241935819846,
      0.383097177926611,
      0.401675269484767,
      0.425040718769957,
      0.527781238060899,
      0.528154414320531,
      0.4762712285349,
      0.46118151011167,
      0.416480982784951,
      0.51610721060469,
      0.547964037401257,
      0.377232695361633,
      0.520540848446135,
      0.453267478028921,
      0.437841641024167,
      0.409688239152371,
      0.518300699415466,
      0.43591973670131,
      0.595102772181064,
      0.509532603324364,
      0.49696195340624,
      0.490751392848309,
      0.506868116554574,
      0.533276823321849,
      0.478032744764404,
      0.410892661056098,
      0.539967598506866,
      0.53542138334081,
      0.377939006769487,
      0.475239117046692,
      0.450979232433362,
      0.353366285127478,
      0.38706667196761,
      0.480774388451488,
      0.677018757872419,
      0.416087820413861,
      0.463301060992393,
      0.498572171444147,
      0.613508055604426,
      0.485990647554797,
      0.433694855121208,
      0.692663155089502,
      0.442291980431319,
      0.535799054967049,
      0.445978784479239,
      0.512497886721754,
      0.522400773585608,
      0.517341257603789,
      0.558757368241356,
      0.491146749193132,
      0.479440651951938,
      0.515020379844249,
      0.647464705395784,
      0.536779820314314,
      0.197142076610948,
      0.479580359910312,
      0.455739843136638,
      0.621026754536248,
      0.420634041318528,
      0.619262908338915,
      0.48859482405865,
      0.511612251014442,
      0.467816517943673,
      0.520688390148159,
      0.570987967210889,
      0.435179247705391,
      0.569319658172379,
      0.50413006907164,
      0.489206631297079,
      0.472366302184533,
      0.45994405502297,
      0.433488828372827,
      0.452445547404527,
      0.467963921080407,
      0.5297897461364,
      0.527445119860025,
      0.482253902846474,
      0.50744764677339,
      0.41932202086481,
      0.525492723700003,
      0.600616514692796,
      0.466879759698011,
      0.357097251694607,
      0.41188679668955,
      0.508426074342047,
      0.480152934047336,
      0.507720338434969,
      0.678903621021217,
      0.412253133091198,
      0.51978668155016,
      0.512671260630999,
      0.512436941129498,
      0.570970326031579,
      0.486033310751499,
      0.525295357083761,
      0.540054841881952,
      0.568567356231674,
      0.480124112647257,
      0.508374198860464,
      0.540531262681152,
      0.401759721661526,
      0.601174592619718,
      0.511064082561193,
      0.507061010015455,
      0.52665635232537,
      0.4927186433146,
      0.560294765599748,
      0.562567169373417,
      0.418097694229921,
      0.530704892227713,
      0.462441293908861,
      0.33307158284579,
      0.483102322135094,
      0.517335667376525,
      0.424108075670782,
      0.572456494989399,
      0.502850044917067,
      0.549852171644769,
      0.591121377219105,
      0.440635776896223,
      0.577338197628222,
      0.499410301182721,
      0.555717498442369,
      0.494708342117242,
      0.521835447776041,
      0.532993180814894,
      0.674558962693131,
      0.530927806384018,
      0.511844284223418,
      0.485544260250583,
      0.589068175306228,
      0.509856504848596,
      0.626514288664138,
      0.549855896081109,
      0.575599506822245,
      0.530172434319497,
      0.468453686681897,
      0.55500347271213,
      0.475366646922943,
      0.474664282238407,
      0.6897989606019,
      0.576395208282897,
      0.537796726184234,
      0.508815618779776,
      0.547057588164442,
      0.487098434498593,
      0.322533821743695,
      0.457842147409831,
      0.44591058410396,
      0.63087255607672,
      0.487701977776055,
      0.458392914954548,
      0.356290597428213,
      0.508088080086006,
      0.338171335831126,
      0.375034354205204,
      0.535806876265245,
      0.419212233084664,
      0.502186910356508,
      0.423299841092959,
      0.411998778604872,
      0.3809305863396,
      0.35753364382711,
      0.372197602594401,
      0.399348898975378,
      0.210058897253703,
      0.601096859640049,
      0.422236028747967,
      0.483803597801758,
      0.364595577900702,
      0.377895883132491,
      0.398854581557097,
      0.431551340940868,
      0.600359711957325,
      0.68394310978402,
      0.750972424477003,
      0.52007893704752,
      0.491184407609574,
      0.444721055048712,
      0.564682651342766,
      0.448182319463036,
      0.466631105359403,
      0.502181777677754,
      0.583657794459583,
      0.407023866217864,
      0.478341069264084,
      0.613662628456783,
      0.391395868375868,
      0.523673799001633,
      0.489724740066574,
      0.500753749373545,
      0.391841442865136,
      0.467975448858553,
      0.702318819872853,
      0.440497759712205,
      0.395021922915786,
      0.397224479638149,
      0.524329089069551,
      0.374260874845244,
      0.550725757831318,
      0.612910734626066,
      0.42645440674206,
      0.487938955085731,
      0.548928828521708,
      0.570309636580722,
      0.567804500211888,
      0.561852212071531,
      0.487544710147133,
      0.517885863696333,
      0.525579348929157,
      0.519057614553195,
      0.525942249793706,
      0.431648622716702,
      0.382127578233594,
      0.574418419941679,
      0.472832564592449,
      0.510197025315253,
      0.609099354511961,
      0.480353002970334,
      0.537762094944932,
      0.486732208476704,
      0.54840744820304,
      0.414500310673313,
      0.542350711423996,
      0.523838859919087,
      0.632452255908861,
      0.51256071853454,
      0.488802167454809,
      0.491079947769907,
      0.484468367462257,
      0.484342695850411,
      0.620094524930015,
      0.553897778652945,
      0.591602388199737,
      0.584164700312578,
      0.567713280195475,
      0.582256702896251,
      0.503845426458492,
      0.545733343420858,
      0.666583658093574,
      0.549912513036911,
      0.523376875248762,
      0.552876257087797,
      0.577144705433248,
      0.487980118622441,
      0.679260208800826,
      0.685337424414888,
      0.499716587954436,
      0.531927323516761,
      0.570530559256398,
      0.495896156446643,
      0.561763650841119,
      0.313984554563976,
      0.588770199209547,
      0.615103724673285,
      0.483771955338069,
      0.52883287962164,
      0.588892017891634,
      0.503447152030561,
      0.546777809584503,
      0.588303240965758,
      0.526839803060568,
      0.448786472112458,
      0.589204068327136,
      0.509999435104119,
      0.41911601128418,
      0.501063692116884,
      0.540641525331578,
      0.450578065612827,
      0.408067605355006,
      0.501424961033297,
      0.400315012456623,
      0.340146199874647,
      0.560605683985203,
      0.473790490919983,
      0.59403433942647,
      0,
      0,
      0.422388904239614,
      0.500037029843702,
      0.491956776624856,
      0.446012493299656,
      0.380325337753899,
      0.479650141123768,
      0.407246894196042,
      0.371089618907806,
      0.404096154114392,
      0.537266427109411,
      0.425522254354435,
      0.47018590841157,
      0.415941260918825,
      0.469901690539572,
      0.229583569678067,
      0.253209504893211,
      0.278196402001496,
      0.352451609461017,
      0.230520998817709,
      0.31626300227806,
      0.342639430788511,
      0.174859198176512,
      0.314614883011439,
      0.208304130945281,
      0.339622682345697,
      0.321863892493503,
      0.413328734490342,
      0.673747132503256,
      0.456920543308109,
      0.419478896705963,
      0.417558881508853,
      0.449652874251556,
      0.390514514373312,
      0.466915927749499,
      0.471679205964178,
      0.421026572473083,
      0.471388114829171,
      0.516293024963686,
      0.395369795952327,
      0.478489284924619,
      0.460318400821105,
      0.37930981594303,
      0.451353602854276,
      0.481181667172757,
      0.608489968538814,
      0.43186159986466,
      0.434571440165279,
      0.492427012785581,
      0.507368669102752,
      0.471276504409317,
      0.48549615861072,
      0.720296743425199,
      0.32467620643734,
      0.531821190104226,
      0.425871838042072,
      0.404728564099003,
      0.434446302992781,
      0.369384319068871,
      0.697819763728956,
      0.342218857985438,
      0.499898589194115,
      0.476146347013369,
      0.535435625374597,
      0.478310997672863,
      0.47522805793465,
      0.539003094725168,
      0.471796260233925,
      0.405357162204758,
      0.37874456860642,
      0.462407904102757,
      0.437023589335709,
      0.453589054139675,
      0.469075293015036,
      0.531582222191701,
      0.467544541115044,
      0.42464253455012,
      0.409166001131614,
      0.520682780368902,
      0.443183346798442,
      0.327859297907141,
      0.383888155283923,
      0.421563802414402,
      0.283268110745925,
      0.437807506788102,
      0.419528411471488,
      0.498864346719459,
      0.521686681592347,
      0.469325581139436,
      0.523019653824773,
      0.437939900369871,
      0.575538957003457,
      0.490640497895724,
      0.465829525517285,
      0.467290228245497,
      0.518474350826888,
      0.561472269076122,
      0.452677257621662,
      0.629356162656541,
      0.45355643849971,
      0.416601262170585,
      0.406899515862757,
      0.492754228446969,
      0.494667909504433,
      0.343583353347211,
      0.720485984449786,
      0.502746840101513,
      0.299683215762897,
      0.481570721669413,
      0.440851459692107,
      0.459104090379287,
      0.475744648680992,
      0.69850895990443,
      0.452703388771695,
      0.486710495341485,
      0.451207697525226,
      0.534719808472435,
      0.523968320987417,
      0.431519555770516,
      0.47710094788632,
      0.454628067509534,
      0.502217045614266,
      0.421576427248953,
      0.477979379204971,
      0.45242940465315,
      0.450483300557321,
      0.441696768834485,
      0.517394122673606,
      0.469234595914506,
      0.448330288929756,
      0.404515076190499,
      0.491820632069844,
      0.404695245942207,
      0.431350106865223,
      0.486576518327344,
      0.606400664322093,
      0.771925537585962,
      0.480347428670227,
      0.380329234008441,
      0.445237568161476,
      0.439729170607798,
      0.559640020592682,
      0.426962626365238,
      0.655484925504255,
      0.540759639645309,
      0.481912439447682,
      0.522051984907455,
      0.507541643885826,
      0.537449723007703,
      0.455981318133289,
      0.512746055554906,
      0.676574287290388,
      0.569950865384539,
      0.491864681917107,
      0.639425703573001,
      0.48608533405885,
      0.586789271162959,
      0.627177516588598,
      0.724294357289031,
      0.46401023638605,
      0.475129329452617,
      0.536751657634834,
      0.538507900710128,
      0.448131575865828,
      0.390762421430777,
      0.650416936212093,
      0.593249299842641,
      0.482324034653374,
      0.457646790114216,
      0.525028239379258,
      0.519026330292761,
      0.477725259687527,
      0.511740760440807,
      0.593632524485497,
      0.458521064651364,
      0.496987403814135,
      0.527081601338672,
      0.454429000132152,
      0.491915953981726,
      0.438269106156961,
      0.579287178960181,
      0.588792020763121,
      0.413910776862475,
      0.560652692778782,
      0.477399246261472,
      0.546977311941686,
      0.462476118999693,
      0.474777714572386,
      0.546580469865671,
      0.487127983390624,
      0.513803758708783,
      0.381346037497828,
      0.46863543529902,
      0.338153357229494,
      0.558939020296642,
      0.455376389347459,
      0.439803977309278,
      0.551543960321041,
      0.392311333740391,
      0.517320494040321,
      0.566709033340115,
      0.455889756299953,
      0.387432837988224,
      0.380262133072628,
      0.709370177293906,
      0.438689146367137,
      0.47237593938416,
      0.491338136611868,
      0.526994595818389,
      0.521153699811488,
      0.458078291014516,
      0.692834233185767,
      0.492200714933716,
      0.30791815106752,
      0.390618242599474,
      0.43406488534256,
      0.288987818912053,
      0.611653756636051,
      0.611688346858753,
      0.565745921538734,
      0.291473965779311,
      0.304387379765567,
      0.542642277793769,
      0.340500546874467,
      0.331156511803476,
      0.368361673175941,
      0.441318152682794,
      0.649731151115647,
      0.482441027739381,
      0.458029006905967,
      0.469127367128725,
      0.383758888231081,
      0.430849914346366,
      0.541736732920212,
      0.366144536608788,
      0.430298166464322,
      0.578241044811864,
      0.50417779586236,
      0.419305691741926,
      0.462463136637222,
      0.342435287310128,
      0.550960109925985,
      0.403914366869951,
      0.545009830250163,
      0.461027499544873,
      0.473586811106638,
      0.598464524929785,
      0.501230070295824,
      0.390680255189297,
      0.561537864997874,
      0.605264151942889,
      0.340877291229392,
      0.433564356813718,
      0.468957566267045,
      0.301198196754458,
      0.357968129228466,
      0.449336756969334,
      0.685715896459211,
      0.385111858887487,
      0.408845249616912,
      0.446540404919925,
      0.516742158459356,
      0.468770897591218,
      0.341747359285834,
      0.728534868304746,
      0.461101790789258,
      0.49103527256372,
      0.455015101599719,
      0.494725265789393,
      0.446224550481209,
      0.435264572665581,
      0.563657403196082,
      0.459402680337036,
      0.491040666062225,
      0.437659076597745,
      0.66239018199422,
      0.562750851309755,
      0.245504169227199,
      0.410932144854928,
      0.4341500785251,
      0.566383371509642,
      0.386156339683037,
      0.481289754003661,
      0.468147408545486,
      0.433145467349102,
      0.512531940721967,
      0.475760140951405,
      0.444601677538512,
      0.406663780617062,
      0.669025023508615,
      0.547108052732462,
      0.511686822148992,
      0.480427900240875,
      0.457424400217672,
      0.473569485866316,
      0.425743120188496,
      0.455220028094496,
      0.522065228343055,
      0.413153942727838,
      0.408844893135198,
      0.447303336596314,
      0.357535324309143,
      0.448212972076579,
      0.678204839585084,
      0.491594456021568,
      0.393713280966163,
      0.379367748775243,
      0.502277934506731,
      0.484683122238817,
      0.54659273505155,
      0.729048610766392,
      0.413901984613365,
      0.51400373336416,
      0.412892484182414,
      0.463533520509435,
      0.530024681605165,
      0.501536515784409,
      0.590905913175035,
      0.458021092061347,
      0.569876808424756,
      0.426272623974461,
      0.510361283974512,
      0.573549004961746,
      0.361908710783609,
      0.55304350000954,
      0.526124454323917,
      0.587104107258814,
      0.52460992799079,
      0.444938524540283,
      0.55379328707265,
      0.516161335316572,
      0.464353038595503,
      0.506093628166886,
      0.478849749990612,
      0.380630495295614,
      0.54267694008768,
      0.48858642420999,
      0.400642569905853,
      0.503644049229909,
      0.479617214414151,
      0.604960920143465,
      0.661515863118346,
      0.464843893346015,
      0.547080793575886,
      0.523159412749963,
      0.501322210698947,
      0.483551986821052,
      0.528367916773704,
      0.499962283385873,
      0.639956127052044,
      0.554846136489092,
      0.489626863424338,
      0.617134880442932,
      0.484707864950671,
      0.566917509755111,
      0.624272826310979,
      0.659110529712321,
      0.517647173754492,
      0.540720228831691,
      0.533515721159597,
      0.532870974877763,
      0.478237618769676,
      0.435436692313714,
      0.719809188022138,
      0.535534477705096,
      0.517496456490314,
      0.561936327256215,
      0.475147646702085,
      0.52030891448197,
      0.383818286442974,
      0.450564559336889,
      0.420573409976387,
      0.643321035716668,
      0.438087206362874,
      0.504934211875498,
      0.361483070925333,
      0.598748731545635,
      0.410948110302488,
      0.384756627068652,
      0.529047451665553,
      0.527554773798644,
      0.444326012223283,
      0.347321462143248,
      0.336528195619786,
      0.418600586821644,
      0.340525457057369,
      0.368162633323725,
      0.358682579365637,
      0.212008319768137,
      0.675661519945945,
      0.446537035119388,
      0.37504063421036,
      0.4117081437042,
      0.45273175436979,
      0.390688409223639,
      0.465554291471037,
      0.600868310104147,
      0.763549295551027,
      0.512520086974566,
      0.609694961250652,
      0.581480522945067,
      0.459018537757951,
      0.58915818814061,
      0.459348569585068,
      0.640207368126648,
      0.559587121058115,
      0.566364585165798,
      0.428018279360778,
      0.535364723136906,
      0.697852166946053,
      0.464488069385483,
      0.412576530085937,
      0.422325199257112,
      0.461880686843515,
      0.544951956487073,
      0.403506046165244,
      0.735138497413055,
      0.442691327616229,
      0.319990654260834,
      0.376913802176194,
      0.419492041459552,
      0.368948968709069,
      0.488776159850373,
      0.629134346684782,
      0.418816410502869,
      0.549439780741011,
      0.491169128403463,
      0.521514135579704,
      0.544438512042651,
      0.520377763708701,
      0.437285184832694,
      0.482316388485225,
      0.550937396775957,
      0.42819174486755,
      0.489267514747423,
      0.558449562466605,
      0.441748759951585,
      0.501638196429154,
      0.405802881897055,
      0.611468874703503,
      0.626682764170095,
      0.418760437015391,
      0.567168074190676,
      0.529391318140674,
      0.490746265161698,
      0.418696417726286,
      0.475138643650257,
      0.546160675468538,
      0.622205305711895,
      0.506320290596708,
      0.463950823904427,
      0.552621176338902,
      0.443937494066986,
      0.535534415152377,
      0.651192033950061,
      0.589230650058894,
      0.524516722066414,
      0.555706782617755,
      0.526733325593137,
      0.528043185816445,
      0.411535123968918,
      0.495166606576775,
      0.705637423191782,
      0.517065635501071,
      0.466985765188486,
      0.587893150455843,
      0.491398694125387,
      0.5405444693902,
      0.63763926182278,
      0.704789910014713,
      0.480423866831697,
      0.5039781580441,
      0.529791427218188,
      0.549805296869172,
      0.481802851765248,
      0.387724118637649,
      0.56664392328031,
      0.593453066284948,
      0.485906283036083,
      0.402745426363833,
      0.525533976112203,
      0.518218734588725,
      0.529124844109745,
      0.515522039840124,
      0.451967616016969,
      0.455858487679695,
      0.52569698287927,
      0.453831461441488,
      0.467124204912549,
      0.419182996650854,
      0.510912924452683,
      0.344679342015212,
      0.405093569661338,
      0.51213205767363,
      0.362108747794511,
      0.370371485760721,
      0.498891890260044,
      0.40217398622659,
      0.541160937173506,
      0,
      0,
      0.46452977461477,
      0.51907801295054,
      0.451921688356784,
      0.435717941166362,
      0.392017514461633,
      0.433511179051249,
      0.413920144465399,
      0.416812950797008,
      0.428525965974865,
      0.538325603889891,
      0.381320600670209,
      0.466308402591014,
      0.540224679873734,
      0.538384661700595,
      0.298410539712998,
      0.32678346287873,
      0.342346831367918,
      0.346223283929072,
      0.325801141179539,
      0.320161817759451,
      0.347788428046115,
      0.27632346742124,
      0.359199545621419,
      0.196847185680364,
      0.326906849247903,
      0.392320666409822,
      0.382658254832648,
      0.646231718977171,
      0.489326610932121,
      0.400420424677731,
      0.455424860995643,
      0.449857837026194,
      0.423724671983261,
      0.42233109406772,
      0.502811890393615,
      0.425369099800416,
      0.493482635968035,
      0.415456064961253,
      0.382392791274679,
      0.48004968910667,
      0.422010341001286,
      0.463859133371292,
      0.515568408426583,
      0.517609292095766,
      0.604674528246475,
      0.439249323668942,
      0.434842815497594,
      0.488266415485578,
      0.548914424413996,
      0.453780279515883,
      0.450223462017507,
      0.698982002115664,
      0.347244133449965,
      0.462942877507772,
      0.393112535577059,
      0.35665889529292,
      0.508625923396757,
      0.403934262123794,
      0.710650921678466,
      0.334658209878349,
      0.645019908151964,
      0.475757104830504,
      0.494328649876483,
      0.415681593382012,
      0.413437832661082,
      0.550243191032942,
      0.486421366712706,
      0.423833629001862,
      0.345572504046828,
      0.507755340110371,
      0.454489295110571,
      0.359661009434989,
      0.458452635936735,
      0.564114243887963,
      0.406482156583522,
      0.369175591517805,
      0.438516854023507,
      0.540633085270912,
      0.48644317578082,
      0.281239749249113,
      0.364174266639184,
      0.375339575739449,
      0.284978930145291,
      0.415929132466995,
      0.362692839745341,
      0.447060457298608,
      0.417894607863215,
      0.501394592855549,
      0.470661588906187,
      0.440986402183159,
      0.496045727664245,
      0.409970395352653,
      0.459097213996914,
      0.485097403873664,
      0.454931864060259,
      0.571142338906603,
      0.46836542510966,
      0.624545535895247,
      0.529642861858029,
      0.42797771278889,
      0.447034055102746,
      0.706195979746026,
      0.504033377177063,
      0.393125895425181,
      0.719485839622077,
      0.484400811927026,
      0.362036777934606,
      0.539920318155506,
      0.495428849054945,
      0.535054059374679,
      0.4894260946752,
      0.709709295587333,
      0.404918072863743,
      0.357388414533998,
      0.455679380413648,
      0.491832661629434,
      0.509147908954067,
      0.403656251312066,
      0.517003359053601,
      0.416531645824076,
      0.497910393649667,
      0.429607156861537,
      0.398223902595265,
      0.470050387441455,
      0.421643752332237,
      0.48333129225642,
      0.623775801234199,
      0.450412077320394,
      0.42077672271465,
      0.365213002308696,
      0.494664182589951,
      0.41658535377818,
      0.48910939536525,
      0.483562411549981,
      0.609257930676698,
      0.776286920295663,
      0.487947411156979,
      0.41061364080867,
      0.466670951342717,
      0.476761551306851,
      0.517626823674557,
      0.447651282558085,
      0.613045617604623,
      0.505291133439826,
      0.527019868523003,
      0.553464338262724,
      0.530994291421487,
      0.511192335990471,
      0.462121289311261,
      0.454809263420195,
      0.681061735682325,
      0.678823760663032,
      0.533457535942662,
      0.714692668552394,
      0.541576277361907,
      0.558081124557467,
      0.564145255456206,
      0.735116287232405,
      0.452781073561502,
      0.415248898507915,
      0.574337293594159,
      0.520501952256582,
      0.513236872747216,
      0.387662382389751,
      0.67052279891652,
      0.628784983636096,
      0.57028518974877,
      0.446883190800649,
      0.538800709004921,
      0.509395829145072,
      0.551405057240497,
      0.459910811636744,
      0.653439707608457,
      0.476621533273422,
      0.437272610088914,
      0.560533263222096,
      0.4686113668244,
      0.445425280912289,
      0.403132361995899,
      0.683085122731482,
      0.488690087990734,
      0.459685721427215,
      0.525802294354885,
      0.475301116021973,
      0.602131560109939,
      0.428003856399053,
      0.403802511469083,
      0.602606208704141,
      0.486568193861923,
      0.396566376826519,
      0.382827158207192,
      0.51138282243483,
      0.306697380221565,
      0.598796302925944,
      0.482042006079881,
      0.432612371055881,
      0.585614258228026,
      0.380127145739455,
      0.476295510580465,
      0.528066422878105,
      0.478001477164525,
      0.365797095497217,
      0.411918293536243,
      0.688491232889485,
      0.475045738858996,
      0.443155486853886,
      0.510209859459351,
      0.573876591832823,
      0.562649063182153,
      0.456418692768523,
      0.714394765000335,
      0.526937078342304,
      0.35957555600946,
      0.423483123233271,
      0.478018471695775,
      0.302256041875564,
      0.561120074270411,
      0.640382707756738,
      0.514345539952696,
      0.32592787220112,
      0.441926672459169,
      0.652477183339582,
      0.44142866477465,
      0.322965261678308,
      0.438435292885296,
      0.447311400298927,
      0.661072815401052,
      0.47123846658261,
      0.579612558122568,
      0.490407314664034,
      0.350342871090238,
      0.462134416334849,
      0.55790055637589,
      0.385993223613952,
      0.526039014161215,
      0.662848512141167,
      0.64887762327639,
      0.386609513853545,
      0.471467980452056,
      0.448690927072995,
      0.590413832265958,
      0.433590854230944,
      0.479073454758814,
      0.409546611302558,
      0.48656427646439,
      0.531701052098043,
      0.523397235720191,
      0.369435650182441,
      0.585388640437055,
      0.56987772329605,
      0.443834172960561,
      0.443127465001695,
      0.464344795738018,
      0.319634277844946,
      0.419563747305588,
      0.415701480904315,
      0.697177863346579,
      0.364569519381348,
      0.353591585385015,
      0.487264994629814,
      0.470899375852353,
      0.450890883009191,
      0.327956376590339,
      0.717744881012544,
      0.418099866986168,
      0.454694950559641,
      0.439332811437557,
      0.447286630056039,
      0.506230690300538,
      0.452558484207825,
      0.574772008955293,
      0.426191685842901,
      0.48342303361662,
      0.398737622023037,
      0.63897577202029,
      0.538513153127026,
      0.290665606493483,
      0.355815417234018,
      0.465795966582322,
      0.478650785025211,
      0.338316002374259,
      0.429769807401684,
      0.420039774098136,
      0.424177587563509,
      0.470764444944282,
      0.463566458027816,
      0.461534682848342,
      0.450002393898443,
      0.541085189754352,
      0.519911000622684,
      0.528171758411635,
      0.444609089328636,
      0.495065080147525,
      0.452797451605751,
      0.429051009150648,
      0.465826759037032,
      0.495660166498184,
      0.461355471958187,
      0.348949365924158,
      0.439557503104425,
      0.371349827447875,
      0.426498127522782,
      0.64705678093343,
      0.530026051773514,
      0.429082864491989,
      0.402232793783216,
      0.446552621540998,
      0.458350424656082,
      0.500741835632963,
      0.719464299889558,
      0.406041913653718,
      0.612367878735347,
      0.441523553007626,
      0.411891045770501,
      0.53098368444,
      0.530152864262083,
      0.631305612502474,
      0.465290223863063,
      0.588676749507802,
      0.437371515221677,
      0.463190787037505,
      0.548077593530444,
      0.415038269492585,
      0.511083206468507,
      0.513507262524641,
      0.62914733788424,
      0.553217110106134,
      0.455826289758074,
      0.544922087544204,
      0.486596343497505,
      0.501121363072717,
      0.513994409312904,
      0.484102023361952,
      0.362024677488223,
      0.535612130631177,
      0.526261654655142,
      0.399297277861453,
      0.620784130461867,
      0.523082977539016,
      0.602078072951338,
      0.615262681130634,
      0.470694642381143,
      0.611582874718271,
      0.557505635829478,
      0.47036030234275,
      0.439887057615644,
      0.614535249910883,
      0.505751164098509,
      0.690596640119558,
      0.582390933868523,
      0.548242218538689,
      0.617457421735903,
      0.525444211494168,
      0.584004052371009,
      0.630077420238583,
      0.657849479307612,
      0.439529824691325,
      0.567935597693996,
      0.549199857304168,
      0.518091722429387,
      0.481199896174018,
      0.446948426444404,
      0.724730928665246,
      0.699863836197368,
      0.516725071886557,
      0.633811149557478,
      0.472020950831106,
      0.510112943076612,
      0.366376310496062,
      0.393498727252127,
      0.450352763307418,
      0.556599490474955,
      0.455417972219586,
      0.470812428289531,
      0.399475895315024,
      0.453264116020595,
      0.431722654201578,
      0.352340312155499,
      0.553999929304318,
      0.502924932327175,
      0.552666690786808,
      0.411719845435326,
      0.348263646223243,
      0.413195801396421,
      0.27935716199113,
      0.402985521381035,
      0.340584576175915,
      0.269230829035186,
      0.565620297701813,
      0.433981791733168,
      0.354237490595529,
      0.488537586485476,
      0.461245870132808,
      0.445448250147192,
      0.429625561315424,
      0.753114216586039,
      0.771625739062828,
      0.467645834764916,
      0.571579320122204,
      0.601255707367231,
      0.455622025667552,
      0.581395405793045,
      0.434123950279611,
      0.663168684779674,
      0.630800642610118,
      0.487111930318545,
      0.405801004081193,
      0.497216356807574,
      0.70931642570109,
      0.520448945495001,
      0.396497286327245,
      0.388288719162918,
      0.519887042447581,
      0.609664179026709,
      0.492262233044583,
      0.734315027895963,
      0.40461519443217,
      0.375659002857614,
      0.423894481381889,
      0.415522221664711,
      0.358937649644458,
      0.497680043101544,
      0.645168447414215,
      0.461097837737628,
      0.634755388583698,
      0.518963805906689,
      0.489739201007249,
      0.548148612391525,
      0.49797658456637,
      0.533365917790844,
      0.50320932353348,
      0.551258109217593,
      0.475492810114501,
      0.504213537114166,
      0.577172141319825,
      0.439455690008733,
      0.570116561006981,
      0.51545814305227,
      0.599789468216633,
      0.613422189385516,
      0.411039616306175,
      0.584734190097791,
      0.548994920493145,
      0.532325871361358,
      0.464436487622125,
      0.600731290694317,
      0.532408417632955,
      0.65213460760035,
      0.506280344814787,
      0.522081332780514,
      0.568748621110101,
      0.510325110209594,
      0.554823827779746,
      0.601333336819462,
      0.587141545178221,
      0.457688373681765,
      0.573921796663508,
      0.580096104193736,
      0.46204109995732,
      0.45773814107612,
      0.409148483115585,
      0.703740913741939,
      0.671913903686664,
      0.493160205296692,
      0.679225369115249,
      0.537245049141058,
      0.539125759239674,
      0.569915662413233,
      0.726159765631521,
      0.511419749589129,
      0.412412886686536,
      0.590378941595039,
      0.518344040390417,
      0.509099635245416,
      0.408584465117034,
      0.584380956806961,
      0.628021250317588,
      0.56300409374555,
      0.480315783937051,
      0.539757121444505,
      0.483087624120564,
      0.499872538441846,
      0.45741869980719,
      0.41447401336402,
      0.398920283637831,
      0.441201894994607,
      0.481407102796911,
      0.428961597423256,
      0.333348054974199,
      0.495621651317377,
      0.352335257243658,
      0.455103745310603,
      0.469722681738054,
      0.427985093251005,
      0.404899345608077,
      0.448961567895727,
      0.303750415764192,
      0.464621590922923,
      0,
      0,
      0.35187389575633,
      0.452177053719192,
      0.473340231779197,
      0.360680824943423,
      0.325213769392942,
      0.50792261874097,
      0.444313227647228,
      0.371258263500863,
      0.373157781374908,
      0.536666587004558,
      0.419007753483941,
      0.326792818053077,
      0.517695703515803,
      0.520219907540662,
      0.238035081993223,
      0.349852861254753,
      0.285921672113468,
      0.339620211644892,
      0.293590192672288,
      0.346243312543267,
      0.390724817971086,
      0.259249488532802,
      0.360117256016547,
      0.244063239024559,
      0.333851620792598,
      0.381032353334121,
      0.375686329529153,
      0.634910933865829,
      0.483776735700817,
      0.435781845594277,
      0.407666733257037,
      0.433668935860789,
      0.527114104704319,
      0.431318845568513,
      0.504129274952235,
      0.467984967838207,
      0.456171716200913,
      0.487759228930979,
      0.403895772250921,
      0.485641042542591,
      0.419159424004531,
      0.44185841075651,
      0.518117235967403,
      0.454558513770314,
      0.622829937197034,
      0.40114845735256,
      0.390507048245152,
      0.457855527614209,
      0.498836363477454,
      0.446914108668562,
      0.378423825996945,
      0.71461119925517,
      0.356133875721577,
      0.413180804030871,
      0.382965014041241,
      0.358292872718091,
      0.584863960517852,
      0.418760378909906,
      0.725713208629959,
      0.313410177872746,
      0.714681085494209,
      0.554448958794631,
      0.48811196737463,
      0.402637116881547,
      0.393381338887153,
      0.559321698414515,
      0.459709635511893,
      0.467523631529063,
      0.319912963797054,
      0.517603676743938,
      0.505440649913637,
      0.356055938687024,
      0.446922217992537,
      0.59137277025355,
      0.371849511903268,
      0.378683641885441,
      0.427788226937806,
      0.530387766423499,
      0.456109766657035,
      0.348616268786587,
      0.369163584649905,
      0.435033056738733,
      0.269827043210264,
      0.447570830064648,
      0.380672806217699,
      0.425663922708834,
      0.376989694684466,
      0.456620455706198,
      0.4585170009564,
      0.370593611342989,
      0.527927893911364,
      0.425456281714044,
      0.438832540741985,
      0.56345053329952,
      0.425733431376371,
      0.569703389062644,
      0.472792826313583,
      0.644014138661628,
      0.508641647518268,
      0.472482231884935,
      0.464891038013789,
      0.769450367796443,
      0.509803811587565,
      0.50154664456411,
      0.729837759945666,
      0.499336927005787,
      0.437627953910722,
      0.610858206401669,
      0.467874011473403,
      0.51229619859712,
      0.503435923593304,
      0.722971036757773,
      0.402819979544413,
      0.450915215727056,
      0.434319889512962,
      0.424516946776746,
      0.462663436557969,
      0.330575976371866,
      0.473762054473062,
      0.428939481333702,
      0.500740027894666,
      0.436608156436494,
      0.422677042589049,
      0.454802386245449,
      0.232280955206903,
      0.509165782625474,
      0.570697274283172,
      0.548191917458283,
      0.437203623324602,
      0.455050087649867,
      0.489639857455278,
      0.411050049242831,
      0.638455517651965,
      0.453376637230951,
      0.616512556492648,
      0.663237940936068,
      0.496989870916412,
      0.454997600119711,
      0.447822751751514,
      0.458980536844603,
      0.473771787107686,
      0.448953460785567,
      0.557052764941325,
      0.543600902432335,
      0.578459902410493,
      0.570632869556094,
      0.505607307053526,
      0.533549377845652,
      0.48734218147312,
      0.508881024289764,
      0.668293901070881,
      0.679534689217582,
      0.462131287658782,
      0.624061652364724,
      0.476098086224121,
      0.555440060213466,
      0.574889767947415,
      0.740147596484658,
      0.565339078818449,
      0.472459351003159,
      0.601059318402359,
      0.513400763958124,
      0.584611057054031,
      0.363205703757413,
      0.70143839761728,
      0.613826537445103,
      0.545434939840088,
      0.494374834998843,
      0.502966803413432,
      0.482843316965853,
      0.593210840026335,
      0.441634845219881,
      0.682789832546807,
      0.536097848322523,
      0.392743535430673,
      0.601865417040257,
      0.49558673908574,
      0.38297362606753,
      0.394092763586162,
      0.709775822125032,
      0.555295577148149,
      0.552775090577611,
      0.496119333389159,
      0.513476639953687,
      0.577141295875098,
      0.416221997846928,
      0.38155571485045,
      0.588536750445348,
      0.578462409176922,
      0.438670402566778,
      0.44586479919334,
      0.510032243513879,
      0.320960934122345,
      0.59071373396716,
      0.470356535833514,
      0.403027674957487,
      0.593260684050307,
      0.403306653322059,
      0.503421265129778,
      0.423949623433086,
      0.683945647263565,
      0.59017649375328,
      0.465107404582431,
      0.706653044803125,
      0.515110289277941,
      0.391778353371479,
      0.592219856158153,
      0.715746174985365,
      0.505894327248321,
      0.379496799674661,
      0.742855564958715,
      0.482727121910096,
      0.329368974531806,
      0.45271100656749,
      0.434333235187641,
      0.260074696243458,
      0.386805618765609,
      0.672309607033899,
      0.475930922101635,
      0.379173169558505,
      0.533793015911676,
      0.633021084919703,
      0.445398775457651,
      0.357817108074264,
      0.458839223483083,
      0.426663328070567,
      0.616973727501323,
      0.471098226506361,
      0.810510427794591,
      0.581339841029292,
      0.473589222535431,
      0.428037344599496,
      0.505312991475929,
      0.432720664309103,
      0.576352373011742,
      0.668547961252532,
      0.590072624241571,
      0.434766076213124,
      0.473338355078052,
      0.43466069983209,
      0.612354433371669,
      0.350453372467439,
      0.499828831697912,
      0.345621299833997,
      0.461575208929913,
      0.441966831504153,
      0.531001602417298,
      0.365827375925743,
      0.638786644401718,
      0.633707365968816,
      0.47177026419128,
      0.44567214898804,
      0.42921218632024,
      0.339544168405591,
      0.410155814192968,
      0.428093184118348,
      0.714112966456422,
      0.441851915790467,
      0.447890821609301,
      0.501184369497862,
      0.490270168528228,
      0.396755675579321,
      0.424811972293092,
      0.734607674969477,
      0.463554243655889,
      0.438469680874793,
      0.435441181433647,
      0.494658237458548,
      0.54607411989266,
      0.526663697691296,
      0.569891122803162,
      0.474890535950971,
      0.508573101627624,
      0.447436457369683,
      0.637628652521945,
      0.517914772695683,
      0.402347717542062,
      0.389123916051859,
      0.498090244319588,
      0.442162295464556,
      0.320298209261925,
      0.432336358281389,
      0.445999747029077,
      0.507761230018794,
      0.462810492327523,
      0.483538301632807,
      0.560040043942708,
      0.469004784657392,
      0.443823490413252,
      0.451829352994798,
      0.475440586715325,
      0.497616733245757,
      0.424961266847614,
      0.417925464377488,
      0.378231760825866,
      0.496677880374031,
      0.527138570334982,
      0.450227108781387,
      0.399282084172462,
      0.550788042012983,
      0.416897019203636,
      0.423554552699516,
      0.667408635203934,
      0.573434335660834,
      0.474513903235692,
      0.382915074762829,
      0.406072627471767,
      0.39447901290652,
      0.526213714111007,
      0.731261622230782,
      0.379522989942826,
      0.702028485923103,
      0.498394040637092,
      0.490953242253092,
      0.543873575907362,
      0.557420649262386,
      0.579925236072598,
      0.475028350016552,
      0.611706636688238,
      0.388094740572177,
      0.472683515672072,
      0.593430846535625,
      0.387094150781156,
      0.500461135983747,
      0.470081443737182,
      0.615801575221988,
      0.541340812929024,
      0.419670389609548,
      0.535560805609773,
      0.497019955884518,
      0.551905738154372,
      0.487866947601933,
      0.512357825295366,
      0.348027093837136,
      0.530248350938464,
      0.598845981397923,
      0.362919577615802,
      0.569585217475996,
      0.483274226390482,
      0.616192089921613,
      0.510221817809417,
      0.454815443470621,
      0.656924955217531,
      0.480806552875333,
      0.471849410442673,
      0.529640829392106,
      0.637249504555987,
      0.51642641016424,
      0.650079408983672,
      0.554290924669429,
      0.527539871992596,
      0.573471955701985,
      0.501088119768805,
      0.602135995478402,
      0.624216135640501,
      0.667754616506053,
      0.500330049301311,
      0.612683554164212,
      0.518838295199698,
      0.525044257600338,
      0.517052526142273,
      0.411140362698657,
      0.7453307269572,
      0.741564671960002,
      0.541445342848905,
      0.565786508075818,
      0.437193750164699,
      0.477006528720737,
      0.383134683506483,
      0.441229773044137,
      0.458157186392517,
      0.414208411001654,
      0.455978702361443,
      0.473086955088597,
      0.440891002802786,
      0.317946184551598,
      0.370790761172829,
      0.403105570988032,
      0.554587915930762,
      0.372966407055797,
      0.547250462622402,
      0.410126826302507,
      0.338575352615164,
      0.422886086654365,
      0.294689328634681,
      0.401511989746113,
      0.377224205257212,
      0.244999191910808,
      0.342536480561658,
      0.44531209060065,
      0.465633536269194,
      0.390169321689034,
      0.432388953323067,
      0.454908673399658,
      0.434408758710249,
      0.735318026551931,
      0.61192166814464,
      0.548176149435455,
      0.520980393647932,
      0.610992623358044,
      0.425997620920761,
      0.597745766746648,
      0.399822112265585,
      0.543551974799481,
      0.60513620207701,
      0.522146865031535,
      0.340340029772879,
      0.481871925690699,
      0.694333965439425,
      0.512254819194881,
      0.420166302001325,
      0.400784340825269,
      0.633892898437474,
      0.612140401633745,
      0.476925663669079,
      0.745088450778134,
      0.395452904396225,
      0.519696769439806,
      0.61689028359355,
      0.472973066165382,
      0.376227967018937,
      0.3698220464697,
      0.653547937673766,
      0.452604741076642,
      0.629118808860148,
      0.481543746386824,
      0.457467922577674,
      0.544689969727476,
      0.522595824747975,
      0.581227674224005,
      0.533042834076447,
      0.575940058606711,
      0.387713390941201,
      0.520444591919934,
      0.614168251096397,
      0.360933576682952,
      0.490795233160463,
      0.504225797607457,
      0.579561349318052,
      0.52564441861975,
      0.446076342058408,
      0.613454921558492,
      0.513993290046604,
      0.529033570138957,
      0.531756930578823,
      0.617741430442909,
      0.478754667455806,
      0.62202699035025,
      0.585127221399577,
      0.440971945837816,
      0.618767370568856,
      0.525756058533407,
      0.600599596059179,
      0.57844449071256,
      0.629643186915273,
      0.492809030342076,
      0.607322151695974,
      0.543067129320856,
      0.502819104790654,
      0.467000714004173,
      0.442980134202212,
      0.701728111200654,
      0.705434836324476,
      0.503491458455994,
      0.595720913382978,
      0.46505503826208,
      0.494850023627757,
      0.550936207088144,
      0.731160415732811,
      0.598350786698623,
      0.39889845119332,
      0.622826530880606,
      0.49294496353089,
      0.580612203781907,
      0.356648753365613,
      0.60106967777684,
      0.611528200602735,
      0.525862876945953,
      0.529028865331214,
      0.512899391377956,
      0.477125912399024,
      0.431406130661833,
      0.417955813470168,
      0.33510177411743,
      0.295692973611054,
      0.387569849114061,
      0.433648801825443,
      0.314856998906104,
      0.332385900556314,
      0.421903502295558,
      0.368559649859387,
      0.399188547442982,
      0.387761307346186,
      0.373350028489857,
      0.420171455829899,
      0.39892782738538,
      0.285397508416255,
      0.396823771397692,
      0,
      0,
      0.513802771263965,
      0.472011926980542,
      0.432779266595174,
      0.439200158668034,
      0.472948249493901,
      0.543530523585896,
      0.55031117231034,
      0.526277859984879,
      0.523503983874956,
      0.494359242382761,
      0.474886252294553,
      0.444792840802653,
      0.412966318489759,
      0.34484393523207,
      0.407880556171499,
      0.540192125895411,
      0.404753233416942,
      0.415426054120039,
      0.439687340275872,
      0.469606109836712,
      0.523825019831405,
      0.433392108438572,
      0.506026220288162,
      0.517949449049002,
      0.351383946208512,
      0.39805612085801,
      0.403282174454432,
      0.634817929373793,
      0.562907492933998,
      0.525198412597782,
      0.509265124751165,
      0.490167094658572,
      0.502543356008372,
      0.493818192544437,
      0.455125674397514,
      0.501672485659677,
      0.506283350005105,
      0.54245264013611,
      0.50674997241387,
      0.545321500978771,
      0.526432510706927,
      0.362407327002943,
      0.4803928278963,
      0.46426148236856,
      0.635032409471251,
      0.533079354551698,
      0.535459545375713,
      0.468275782937798,
      0.510471862746511,
      0.480159417917094,
      0.430438827658804,
      0.700246698179075,
      0.485849897567445,
      0.483916344837238,
      0.373481932709169,
      0.316765494286716,
      0.572107375718915,
      0.448672838015592,
      0.691628989929948,
      0.454203938133289,
      0.546468682295359,
      0.553929887312441,
      0.513638548340327,
      0.438953543487861,
      0.421073739240657,
      0.548965757169056,
      0.56988825211698,
      0.542439225383598,
      0.451455038896937,
      0.442861295687662,
      0.461172026000446,
      0.324988072972674,
      0.495253803061728,
      0.673230841864413,
      0.519028873848066,
      0.50434108837798,
      0.479209053050353,
      0.589976885832483,
      0.44157471090711,
      0.40279103547691,
      0.463847930661956,
      0.528648887516075,
      0.407108823456237,
      0.539284763561633,
      0.549119396111292,
      0.454954736357217,
      0.486746890944737,
      0.497902163019904,
      0.51290837167523,
      0.466840811806095,
      0.558304310255022,
      0.523958505906516,
      0.452948714091981,
      0.532187012093573,
      0.387661288493563,
      0.491170562727506,
      0.587076068801515,
      0.655215729304194,
      0.429794210474791,
      0.530323593683078,
      0.527631477036539,
      0.647504373641547,
      0.465135058475657,
      0.667193697020025,
      0.717524824489387,
      0.563032364522857,
      0.568761840121889,
      0.517182042771565,
      0.491828049727407,
      0.602526890512784,
      0.508422050299238,
      0.710775709077838,
      0.471403090480032,
      0.485895020935563,
      0.531073116467465,
      0.51136347984611,
      0.420580097452142,
      0.331884340543629,
      0.45737831680182,
      0.561889778918161,
      0.487750239912623,
      0.46788116092851,
      0.476966316500375,
      0.394743627397766,
      0.29442692539228,
      0.557084937538121,
      0.429233665320529,
      0.546320236336773,
      0.579500589637811,
      0.628448500500432,
      0.534958063990643,
      0.420071318122274,
      0.719587550087182,
      0.526099251581112,
      0.62157342970381,
      0.548534849586023,
      0.519642329413603,
      0.598781152136469,
      0.445498909100248,
      0.498619171104354,
      0.462943882551421,
      0.490821698319417,
      0.574208168228979,
      0.573565952575117,
      0.618311827804187,
      0.616006776005393,
      0.496291387174291,
      0.459794180760969,
      0.533193688659897,
      0.549514945181955,
      0.620925170511689,
      0.645440093963145,
      0.445685310903501,
      0.508497208041786,
      0.471203784079819,
      0.458442456067371,
      0.575752516019827,
      0.707619021411368,
      0.584964038493831,
      0.552192906130736,
      0.628637515042698,
      0.497324559797936,
      0.61164750664324,
      0.414268967699211,
      0.661041943392668,
      0.585426612759815,
      0.548057486208197,
      0.465966546942951,
      0.507917392519424,
      0.480621000129527,
      0.672342223737158,
      0.489774596466379,
      0.672448920614183,
      0.544343870104155,
      0.517514799327216,
      0.652350075927848,
      0.48316925978515,
      0.44415453322144,
      0.434582776630097,
      0.693180918775823,
      0.542271099803222,
      0.626117612998635,
      0.473891626202618,
      0.408845467069938,
      0.568809863056614,
      0.484922238489408,
      0.441693420248388,
      0.619522622195058,
      0.560791363273956,
      0.508955491910748,
      0.53027363307282,
      0.440006727973159,
      0.350112452161179,
      0.607355850797896,
      0.502952210960274,
      0.508045218411905,
      0.606142161583064,
      0.542647074558999,
      0.645042689379621,
      0.512297536758958,
      0.825911861445086,
      0.664004225450933,
      0.517600389088027,
      0.69302082108036,
      0.572492749709755,
      0.390444993229476,
      0.597750796161507,
      0.730090124570539,
      0.461904886763128,
      0.419955565417361,
      0.697498806876272,
      0.426463234381538,
      0.461408293389362,
      0.524008986252688,
      0.430391561278969,
      0.366414841107717,
      0.581211671374696,
      0.71859355150238,
      0.567805032075843,
      0.436430296591063,
      0.504335847594244,
      0.601718645690954,
      0.423787612875395,
      0.421892901214906,
      0.449861553678648,
      0.498875866292081,
      0.560317783258356,
      0.580723972648085,
      0.83387482223431,
      0.632265174524611,
      0.536099157567363,
      0.58672625629852,
      0.548353338412729,
      0.465322362382889,
      0.512845150500378,
      0.525647184155101,
      0.467581344978341,
      0.404809530088481,
      0.552898139920509,
      0.486702596723026,
      0.539508574691147,
      0.503022985131183,
      0.547372118600792,
      0.450124403720385,
      0.537187126159537,
      0.611696609016143,
      0.553011217498331,
      0.439505552362006,
      0.668156433584658,
      0.636668988317665,
      0.449931750652871,
      0.547171712777581,
      0.456634968339455,
      0.470278187208673,
      0.420712501359896,
      0.510022873451699,
      0.686316827770181,
      0.598026841169462,
      0.552131957170929,
      0.614665281607607,
      0.602326679191332,
      0.46542828347983,
      0.466299185438243,
      0.746383453692931,
      0.468313568786217,
      0.578590169095162,
      0.614895436748329,
      0.460842264696633,
      0.60963905333554,
      0.567598076455827,
      0.562770085698177,
      0.429228964349629,
      0.586925299103603,
      0.557044607085549,
      0.768283732104969,
      0.55735789353306,
      0.487682427687725,
      0.494470119159941,
      0.549136656750713,
      0.458667466213339,
      0.471068524262238,
      0.587360735070079,
      0.463169080108042,
      0.525326464057713,
      0.511699342274217,
      0.46391410218855,
      0.662292860123181,
      0.599986472382999,
      0.526439883513021,
      0.477446661596798,
      0.49160043012107,
      0.477614001394199,
      0.487396673362879,
      0.516824730743779,
      0.428018698253008,
      0.510013345849691,
      0.518361605192621,
      0.539601521455429,
      0.469001302225115,
      0.578232726779522,
      0.540013604576872,
      0.478013328948133,
      0.683170012215818,
      0.608047863830387,
      0.555482493162128,
      0.478686552911789,
      0.592196609751091,
      0.470234773719695,
      0.536689534874734,
      0.708493384637777,
      0.538891053798091,
      0.718878114233752,
      0.612817247443258,
      0.501108256543983,
      0.505574995546353,
      0.553650350229793,
      0.611734360860903,
      0.544329456984945,
      0.624356840286791,
      0.478032434665939,
      0.513300353958959,
      0.566072349894923,
      0.386282776787032,
      0.475862358003289,
      0.494168889013197,
      0.625384450450728,
      0.547199755580728,
      0.544704702669928,
      0.530760716303435,
      0.503045498235778,
      0.531383533021097,
      0.529772499258755,
      0.549834106852297,
      0.49424266914311,
      0.552215414258797,
      0.539697063874638,
      0.361709653701195,
      0.520640476283758,
      0.442008618790428,
      0.621139684940629,
      0.567751756177971,
      0.496482443256103,
      0.677501698052031,
      0.523184689779292,
      0.479642161808899,
      0.509272569161064,
      0.612882082274716,
      0.53429827512989,
      0.560308292438583,
      0.592234301139131,
      0.493695514562038,
      0.628623365271694,
      0.4698536165054,
      0.514207372943503,
      0.540296092991976,
      0.674659488835175,
      0.548190778722416,
      0.639758037182057,
      0.525220191788426,
      0.521124781319241,
      0.550686319768264,
      0.456507933041947,
      0.708116020344184,
      0.707458403437172,
      0.543859729306609,
      0.499547351365133,
      0.510567569111098,
      0.446501211830244,
      0.420033081854817,
      0.488443595069691,
      0.558161683830473,
      0.523569608622523,
      0.493596322336212,
      0.456852025115293,
      0.436110061933247,
      0.386469348864398,
      0.39386990552113,
      0.490152608209745,
      0.548404339071834,
      0.47436512000026,
      0.489149783702642,
      0.39463967200246,
      0.36889840604727,
      0.46124370435444,
      0.373375168950095,
      0.461773588935542,
      0.496988029061365,
      0.469158495428345,
      0.403736753145412,
      0.419674223298089,
      0.724172948320295,
      0.407042802204186,
      0.510011201053317,
      0.480039275989139,
      0.461840658213095,
      0.637208102221968,
      0.507990918108549,
      0.575517075415396,
      0.519139188151132,
      0.463147353793455,
      0.516760274235424,
      0.611315579358942,
      0.535304330100096,
      0.657866512860735,
      0.667089546693219,
      0.545070927465775,
      0.357835737978641,
      0.465798411397389,
      0.686423317461374,
      0.417239822103408,
      0.487338598869158,
      0.49397871688252,
      0.611492863883875,
      0.519657105782036,
      0.524087174504982,
      0.71738936933038,
      0.495088505201478,
      0.58334857009912,
      0.703736136705546,
      0.552250719480148,
      0.458215596247821,
      0.488057429016725,
      0.641118059482988,
      0.472827870094361,
      0.618678134282027,
      0.552869320679129,
      0.518877788871615,
      0.529101308279271,
      0.475595197573201,
      0.585050084040187,
      0.593463855936412,
      0.599174809258966,
      0.44918457256793,
      0.521237139142883,
      0.511880359269923,
      0.406243204960357,
      0.528284072254262,
      0.442539417705083,
      0.605481396581099,
      0.591049486020526,
      0.479224404010324,
      0.632203896074121,
      0.467960885534206,
      0.485923814459561,
      0.551899009842293,
      0.59003425473377,
      0.457174049736191,
      0.545928571363495,
      0.612218682319894,
      0.430286966809584,
      0.631694020531518,
      0.47880632171178,
      0.548199320562425,
      0.552999764875304,
      0.64996228498687,
      0.569082088101937,
      0.639027948897963,
      0.487236179228955,
      0.486687786899827,
      0.490538180353987,
      0.524286756227023,
      0.637608208094815,
      0.673257950336301,
      0.478883123437145,
      0.532646431483792,
      0.462623521843578,
      0.455327977241572,
      0.626634386867482,
      0.703518608879056,
      0.578196707519918,
      0.526030671829217,
      0.63601078124647,
      0.485678024142601,
      0.580111544187232,
      0.418872605497052,
      0.572805957147803,
      0.611296368912057,
      0.512770889795028,
      0.51923504474243,
      0.522353555656739,
      0.517127271911383,
      0.406666172410078,
      0.373688061831249,
      0.350998598829724,
      0.273375695802487,
      0.311779056973945,
      0.375480426692674,
      0.354921338316079,
      0.335210526219746,
      0.433261322714724,
      0.358018112526391,
      0.408059930587871,
      0.426227692534535,
      0.40235487727684,
      0.440054923059826,
      0.432578176492412,
      0.413113510899793,
      0.5058628704187,
      0,
      0,
      0.595164728286785,
      0.493655306148932,
      0.412874977374206,
      0.459665223361713,
      0.512376072271338,
      0.576606319777846,
      0.593696927900875,
      0.613598693998685,
      0.558161667531258,
      0.485099122456122,
      0.478629890919398,
      0.482463349500992,
      0.416497089561874,
      0.394740585635035,
      0.485507901041898,
      0.641619986067266,
      0.396073488019546,
      0.45266008905308,
      0.552884434717049,
      0.590308317494202,
      0.591819949869786,
      0.507232794260727,
      0.623197337129635,
      0.539401360702156,
      0.44501669590447,
      0.430105619415048,
      0.491993714494063,
      0.682625371677142,
      0.663083922422016,
      0.735338152968733,
      0.600624758263856,
      0.640588722474141,
      0.452020615373406,
      0.577375980042083,
      0.503907081715395,
      0.51726946890122,
      0.586121689120613,
      0.540730942478163,
      0.660432093296328,
      0.536239961557724,
      0.573057070866508,
      0.382777041733597,
      0.420038750776608,
      0.595656205301167,
      0.636219091683342,
      0.713310432809905,
      0.61583548969593,
      0.545559813757841,
      0.557173329126093,
      0.487533677017583,
      0.534288983862395,
      0.747248480937542,
      0.571555378668673,
      0.553726630183484,
      0.411236477817796,
      0.3025199319006,
      0.54293441454809,
      0.646485109704852,
      0.742190145273291,
      0.487200927913665,
      0.554912299964878,
      0.595499864978225,
      0.544856297914509,
      0.460577932668587,
      0.472873912021339,
      0.559714567579566,
      0.694379072677666,
      0.672492472100413,
      0.509126634779608,
      0.481724427156723,
      0.442476727455552,
      0.478370980943534,
      0.611732903162988,
      0.655818231049525,
      0.608809125257895,
      0.58722380688228,
      0.569145571112516,
      0.545494686218328,
      0.476915450656051,
      0.519857650272337,
      0.603954683346061,
      0.581015750330078,
      0.463726930724854,
      0.54249731741325,
      0.603429788314157,
      0.45773446347179,
      0.600692815330735,
      0.608942798197658,
      0.487273549904167,
      0.711258726950978,
      0.561583711146643,
      0.539224261607526,
      0.413366685549083,
      0.525119417188187,
      0.50709021242234,
      0.492691560838756,
      0.521395243789754,
      0.687310481509888,
      0.417866665627157,
      0.554302245357449,
      0.511224689497533,
      0.557723928644409,
      0.529657062670223,
      0.638830896070322,
      0.778908276954481,
      0.512370458544976,
      0.54640640691671,
      0.485455590899401,
      0.546039771757366,
      0.675721924732412,
      0.54245190447367,
      0.746573209105733,
      0.520526979644599,
      0.547681433627672,
      0.756031106412649,
      0.646520774538547,
      0.497469675240849,
      0.413284498732959,
      0.552225135538545,
      0.5810404684803,
      0.523872175123586,
      0.578257694963653,
      0.529313086383591,
      0.391619277463265,
      0.400699567868384,
      0.508343498427963,
      0.401026888822986,
      0.437290948931472,
      0.637533566728912,
      0.599109233873207,
      0.541300384744766,
      0.424420907034173,
      0.629551109675654,
      0.560185409230586,
      0.568342336025803,
      0.606139007598261,
      0.547756617033105,
      0.770519368174235,
      0.571980932897951,
      0.645694827219011,
      0.541541309393365,
      0.55518667844929,
      0.571668761920286,
      0.573615370354494,
      0.625963597848636,
      0.600837646395899,
      0.543055411143908,
      0.518883956432715,
      0.60320385865695,
      0.582795445639224,
      0.704414959514854,
      0.5856305987011,
      0.488061474050994,
      0.63845509976977,
      0.522455426782159,
      0.459770874445392,
      0.658889873421596,
      0.751267389908485,
      0.499307013693076,
      0.583640264819933,
      0.581427097603709,
      0.534981937952551,
      0.560437760900577,
      0.54824884902159,
      0.691014712281754,
      0.587790038952911,
      0.565154923123261,
      0.549763163937993,
      0.520093290847655,
      0.481269488874729,
      0.734250213395455,
      0.495791784305896,
      0.623417348707679,
      0.497935081899685,
      0.548317649645095,
      0.617433810029075,
      0.541800372726062,
      0.449440767056934,
      0.423972997706031,
      0.679615052869988,
      0.602114391256409,
      0.693598946075553,
      0.473124094120928,
      0.47284118716629,
      0.528766691094907,
      0.530845614553594,
      0.480636684119821,
      0.599427917403066,
      0.533340883599815,
      0.53089163044313,
      0.53582689917988,
      0.37073022520914,
      0.426503536325862,
      0.553586456820928,
      0.562417055682589,
      0.571162114990159,
      0.614164827698234,
      0.600895755808945,
      0.629274678135236,
      0.499660970356284,
      0.837749505342663,
      0.663331467191785,
      0.697673190873872,
      0.720920897016888,
      0.633946814816741,
      0.452651914198971,
      0.459635882146244,
      0.485702903600181,
      0.360598916804706,
      0.525513156345099,
      0.714487287206196,
      0.565338898230497,
      0.516441556722405,
      0.6051023372728,
      0.540657146247335,
      0.408579586664666,
      0.732220635518521,
      0.824679709698278,
      0.579410315835078,
      0.534229286866815,
      0.571257141427034,
      0.536671840460156,
      0.452789338949696,
      0.501310204466714,
      0.470690536904959,
      0.543291106818232,
      0.580051875205738,
      0.613245143275736,
      0.698047212324649,
      0.680131374696888,
      0.577988636768344,
      0.689563068904233,
      0.589046598406172,
      0.522035770644743,
      0.590016860209912,
      0.539619258065056,
      0.506423152374616,
      0.426859048549263,
      0.590080834509333,
      0.603267562147538,
      0.600316114400799,
      0.620917498754064,
      0.621813439904392,
      0.54428389087135,
      0.725642801589985,
      0.752003163317391,
      0.652932098707354,
      0.559974863671056,
      0.653698180420394,
      0.651877914085132,
      0.519053290575323,
      0.490994130860038,
      0.450219327333421,
      0.642262733848809,
      0.500436767979927,
      0.643128341912983,
      0.752306072486113,
      0.674745175617865,
      0.551727242396839,
      0.707422388272696,
      0.676303390075552,
      0.462125909130752,
      0.462930342467408,
      0.736439159050141,
      0.483335411132917,
      0.58080923342303,
      0.787577685307522,
      0.570827421966634,
      0.570128276048628,
      0.5731493758251,
      0.6006449405189,
      0.510618933582382,
      0.611451150955597,
      0.644523604312034,
      0.729694401150101,
      0.578792789291469,
      0.483165437071922,
      0.587185562097573,
      0.598096983544593,
      0.580948189963051,
      0.639983419383237,
      0.653514459158828,
      0.536694394427403,
      0.610118613655554,
      0.546250166902495,
      0.571049334539426,
      0.732531826557814,
      0.737216175323853,
      0.571780007233282,
      0.476386997478447,
      0.457872685599337,
      0.593199792941819,
      0.511303600167229,
      0.577373734742277,
      0.445932650822798,
      0.56774570037701,
      0.544824607860374,
      0.641371961828565,
      0.460468077455698,
      0.518171798837397,
      0.58063258892728,
      0.573780913349325,
      0.70052930590247,
      0.596983024338615,
      0.545301889491655,
      0.550454490280748,
      0.709554902646589,
      0.577459898396498,
      0.558347058132148,
      0.7486798259402,
      0.600457443660301,
      0.623007346749668,
      0.632713062098775,
      0.506681070957383,
      0.555198823233875,
      0.5279663730188,
      0.622264062763338,
      0.588696021637518,
      0.603939284005732,
      0.555160706107051,
      0.491099640620886,
      0.554011044312404,
      0.390659853103457,
      0.575947495655907,
      0.510018152962605,
      0.623342408283077,
      0.625190457909694,
      0.594622109564464,
      0.579016881517474,
      0.54578174169975,
      0.572422851791169,
      0.622801254533363,
      0.555700027323884,
      0.605559710073176,
      0.559097333874604,
      0.520447515919036,
      0.409214670923969,
      0.629596208957753,
      0.473499071699986,
      0.637853153376213,
      0.609366267974638,
      0.55195503582153,
      0.676892751749093,
      0.579610734267189,
      0.564095175278458,
      0.555931760865533,
      0.598646151376578,
      0.594976678787658,
      0.602663476564307,
      0.575780470170425,
      0.462521168355733,
      0.730682638804672,
      0.516435690174411,
      0.494525952781906,
      0.557184617581931,
      0.700263329557836,
      0.566787898970361,
      0.65316984921668,
      0.55208914699949,
      0.583084979978606,
      0.606935832975602,
      0.557040567838494,
      0.748462389238806,
      0.699748497981605,
      0.552966135088067,
      0.523940139160578,
      0.52303394917298,
      0.550732806950179,
      0.448155512923048,
      0.467595564724268,
      0.58316403162755,
      0.593629061777036,
      0.512957485332124,
      0.375311390719369,
      0.430230195378938,
      0.481803160496434,
      0.464575874419535,
      0.461686179650569,
      0.631762982448193,
      0.500489880672853,
      0.455806931158869,
      0.396709736056729,
      0.408204299322498,
      0.549684440466835,
      0.455323814835693,
      0.51859868778118,
      0.6150142572522,
      0.540985788766358,
      0.458309122458493,
      0.413322750137383,
      0.770850750726801,
      0.49604983579323,
      0.533991813001639,
      0.511711952422816,
      0.474769313542851,
      0.671518141140019,
      0.47943527221357,
      0.5986872808458,
      0.499449558470443,
      0.453416671733299,
      0.529184067465985,
      0.57253420914474,
      0.575614945047442,
      0.649208323508241,
      0.517199547025161,
      0.52507150180858,
      0.377465724417211,
      0.573890630791363,
      0.73275966935029,
      0.441242871290911,
      0.534960295588349,
      0.543877993790804,
      0.532343786973523,
      0.429385087940366,
      0.531372144128651,
      0.749178289813351,
      0.552952134961771,
      0.608408673739367,
      0.654871270239102,
      0.575606624032561,
      0.406520893896163,
      0.563653808473651,
      0.670326705380376,
      0.539569954385773,
      0.579303636313618,
      0.590382730232189,
      0.582806153612905,
      0.547578416832442,
      0.549391333668678,
      0.530171374032483,
      0.607840947368637,
      0.596225172675889,
      0.567346925866811,
      0.563459468354732,
      0.477690751855719,
      0.422380460927895,
      0.611800178219842,
      0.511280969375166,
      0.611889143209833,
      0.684341666381222,
      0.54488016707055,
      0.636428898680181,
      0.483925429812184,
      0.547738767272811,
      0.555448821622172,
      0.576517380431953,
      0.567207593617316,
      0.606746289683276,
      0.53505404520627,
      0.404975247250212,
      0.736809059373143,
      0.537652395912813,
      0.587226463401753,
      0.571428441587341,
      0.630361530333469,
      0.57282678184715,
      0.614783694627239,
      0.508190902305506,
      0.520946330336729,
      0.600310826928351,
      0.550373705088402,
      0.738316546520529,
      0.596861679837079,
      0.488421383903389,
      0.561723117572257,
      0.543605415735847,
      0.501396778385746,
      0.703964041790033,
      0.735131370824789,
      0.501375802464451,
      0.551837636739672,
      0.608977110606254,
      0.552900071336225,
      0.498853796279911,
      0.533682059613579,
      0.618252976922891,
      0.574818850120922,
      0.576147003260489,
      0.555461909131726,
      0.533842485516839,
      0.523363430363276,
      0.421175628367811,
      0.417714541767438,
      0.478917623443782,
      0.494739157228705,
      0.441043640289849,
      0.378361261281372,
      0.45192936024716,
      0.457295002629616,
      0.461444346608351,
      0.36632407723225,
      0.395301789009291,
      0.467266200750341,
      0.385706171281919,
      0.297299250306757,
      0.51736463854792,
      0.415266976002051,
      0.577222260289669,
      0,
      0,
      0.456647652764697,
      0.407340838007964,
      0.31838263339401,
      0.362205377570611,
      0.384884534397131,
      0.499428090099069,
      0.530827023429531,
      0.487055247154641,
      0.378374524015711,
      0.458413250233413,
      0.356725242600788,
      0.376406536698254,
      0.383009595525415,
      0.395669312002117,
      0.350985665608093,
      0.488985998591406,
      0.301518777708436,
      0.482698985033818,
      0.422562245063591,
      0.45370922938536,
      0.498069777414293,
      0.349948218574471,
      0.481436715037721,
      0.349312173357325,
      0.388916725041812,
      0.497648223627263,
      0.53005016690314,
      0.662570579015445,
      0.540342525257804,
      0.729218810960943,
      0.545670172436607,
      0.542344704102635,
      0.429027954101001,
      0.572281241367553,
      0.410831047762555,
      0.507226842169132,
      0.51137161290173,
      0.539071178809603,
      0.629319241574002,
      0.496139983099821,
      0.51037260370134,
      0.372271070160346,
      0.459442683434395,
      0.625557826233465,
      0.685369422344013,
      0.770169371463462,
      0.630254249113717,
      0.587253863571503,
      0.567728912055611,
      0.500095807400828,
      0.538404699843914,
      0.747811796715176,
      0.610969594791396,
      0.488347872558886,
      0.448829462904142,
      0.374191862779825,
      0.523273762724912,
      0.626625526113101,
      0.765075385526017,
      0.392505202747175,
      0.545633473795908,
      0.550559044094566,
      0.455819361078065,
      0.444843196442477,
      0.496228544611782,
      0.578805335610819,
      0.71696826347548,
      0.638196698480811,
      0.520496355724057,
      0.494291076287348,
      0.479758149116388,
      0.524853170074816,
      0.655165199663152,
      0.597858744640027,
      0.67517588081881,
      0.552629564749208,
      0.568970157400055,
      0.50697151743806,
      0.488600004926075,
      0.544514594419707,
      0.627183940713739,
      0.523425725861087,
      0.353629422916848,
      0.496614579283918,
      0.443678146744608,
      0.540136210302642,
      0.540325442033147,
      0.659736477389909,
      0.528282998501567,
      0.749147546987791,
      0.644116214089939,
      0.458184259054415,
      0.410091914614304,
      0.519997024741423,
      0.452674707120894,
      0.484353041033358,
      0.478085284795944,
      0.720390427713247,
      0.443930378276433,
      0.644245605958887,
      0.548391009782401,
      0.547409246644522,
      0.582744875829537,
      0.547553219392791,
      0.764311607355452,
      0.448032277725691,
      0.410143905880206,
      0.506439530464901,
      0.58166863152572,
      0.624635293499245,
      0.488280091445762,
      0.760608720947724,
      0.487233328541463,
      0.433438372191722,
      0.74053736989716,
      0.628290449844916,
      0.50351715324108,
      0.459877492451625,
      0.552352318341449,
      0.540767325562751,
      0.373231500034698,
      0.514477605269934,
      0.521168465257143,
      0.446510213651657,
      0.392738238594623,
      0.483188293654,
      0.339693492854801,
      0.437860077553144,
      0.508401994909401,
      0.500140788036979,
      0.517073977098876,
      0.450303864990019,
      0.53288789313095,
      0.521784515407896,
      0.654832199683414,
      0.551277386962552,
      0.514077617049013,
      0.698323636274643,
      0.578532834934045,
      0.632288603312235,
      0.47997125153555,
      0.466262386136688,
      0.545260178311436,
      0.582598326023614,
      0.586858098694349,
      0.556794191238671,
      0.515396476649132,
      0.566264829876004,
      0.56280682525593,
      0.518032846558942,
      0.739445978308753,
      0.589163675935646,
      0.465747953913187,
      0.710807343775111,
      0.493145460011788,
      0.546715194337384,
      0.628996078309258,
      0.758597413137262,
      0.516108866128113,
      0.563072755671312,
      0.529921249332191,
      0.556659102545151,
      0.574332991719372,
      0.438712316779622,
      0.736195363687088,
      0.584808174423698,
      0.453949717477967,
      0.604545398116083,
      0.553789500100011,
      0.547570411024566,
      0.691425027489079,
      0.461330380405177,
      0.617259340128022,
      0.511528060744114,
      0.520260840526146,
      0.567806044790067,
      0.572810682609895,
      0.353848749542123,
      0.448732400925655,
      0.643359581142945,
      0.581412757244454,
      0.5754944540331,
      0.50167740412731,
      0.473409354289188,
      0.584814715471813,
      0.481997628607472,
      0.543220312463616,
      0.578877782103987,
      0.544873944798409,
      0.540692499186315,
      0.502946646008853,
      0.464795065527999,
      0.436039941434928,
      0.615074860886172,
      0.473255154986392,
      0.596141122847429,
      0.6641226730879,
      0.436809045699498,
      0.687906843605337,
      0.561259250495509,
      0.615710048395271,
      0.584991174972933,
      0.66605164358533,
      0.738860626906501,
      0.545300596854592,
      0.392220798427873,
      0.454001518351299,
      0.390154438571101,
      0.330459951006979,
      0.451965528555726,
      0.740560341606125,
      0.557638979611227,
      0.573211009134555,
      0.642785708950707,
      0.58108017561088,
      0.380227432100103,
      0.645943194936391,
      0.81464332484759,
      0.617875127959872,
      0.449435656750739,
      0.422989711730601,
      0.488890995490432,
      0.393625454974862,
      0.549169251385786,
      0.428802129288565,
      0.537495728695609,
      0.567090177096111,
      0.739104571083716,
      0.497317236119111,
      0.594595913552676,
      0.55795202643258,
      0.678774938588183,
      0.541217153241515,
      0.425747548197206,
      0.450931046200168,
      0.497749270656271,
      0.440449053133562,
      0.403406796424354,
      0.544304992982452,
      0.693771767329502,
      0.727533220177386,
      0.75185873072863,
      0.569246535376979,
      0.495813418612157,
      0.68171134648519,
      0.640533740060443,
      0.618372847976753,
      0.473892156634782,
      0.552621182675129,
      0.699757564841817,
      0.424432353087247,
      0.535096038103848,
      0.483289996628445,
      0.554017377215392,
      0.385210936097096,
      0.800757508937624,
      0.754698210860582,
      0.528274632029107,
      0.542554458338644,
      0.611711655625905,
      0.581257903472566,
      0.426909648682293,
      0.484421148031861,
      0.669993273003018,
      0.572083462377739,
      0.565895869937469,
      0.724217764765091,
      0.554260110507702,
      0.553077107381518,
      0.527452664485586,
      0.599339070706546,
      0.52864294729988,
      0.560398778872963,
      0.472606569076333,
      0.636827195576424,
      0.558821735871792,
      0.481911531636043,
      0.556242710781824,
      0.60381993842781,
      0.566643320243938,
      0.681503649438981,
      0.533293307811592,
      0.567902149838004,
      0.617423422104597,
      0.622776930985855,
      0.663089473165447,
      0.704060172128822,
      0.623497436206916,
      0.584513571479484,
      0.491261409502312,
      0.456956195445058,
      0.58579573464389,
      0.595583553041976,
      0.604505940875394,
      0.426338193303613,
      0.587322704336819,
      0.527430104955769,
      0.660355182799969,
      0.42779581246961,
      0.444101996586937,
      0.543464066684633,
      0.490958434993841,
      0.728073059766502,
      0.519160144644584,
      0.444888189612816,
      0.527038123517447,
      0.734956644029716,
      0.546175388635518,
      0.479483204816042,
      0.758460883745294,
      0.477387317162991,
      0.506543115253492,
      0.527030767501955,
      0.541192521934645,
      0.601896964430068,
      0.580797443546935,
      0.641021607383281,
      0.656765180201587,
      0.536508384047737,
      0.456208990560163,
      0.476068209617326,
      0.539361242646604,
      0.319180916852392,
      0.603730747101836,
      0.516283199065546,
      0.578774070306433,
      0.669661653209968,
      0.56741052764546,
      0.592399294133443,
      0.579009299825882,
      0.585335280500562,
      0.624598456000538,
      0.471365491908258,
      0.472994669071721,
      0.462419225221503,
      0.510156931760747,
      0.394023250606633,
      0.646086004271462,
      0.49337288103706,
      0.646915877967711,
      0.660180335973501,
      0.523343921161713,
      0.626969006632954,
      0.578960106375135,
      0.550356882252603,
      0.578294319438619,
      0.549638497322013,
      0.519037004694055,
      0.631521673449169,
      0.585207052533348,
      0.482522324847927,
      0.704309417513994,
      0.51771263719973,
      0.518770326812108,
      0.542177736301812,
      0.731596214133724,
      0.55584685592796,
      0.572736460445938,
      0.565189181237536,
      0.598205217425797,
      0.614644746687348,
      0.436722106077413,
      0.767221740005967,
      0.701143907357261,
      0.452340710643678,
      0.616842830363476,
      0.486188094821077,
      0.634685426602255,
      0.484362952416786,
      0.3937020072611,
      0.540917787566886,
      0.463360504582272,
      0.47592782803393,
      0.449604955695963,
      0.367376034955482,
      0.435988912707908,
      0.39702841349018,
      0.38886997973186,
      0.563120416212793,
      0.492990822177214,
      0.382698181745911,
      0.456703886389277,
      0.406324598111355,
      0.440077766074017,
      0.360449854689012,
      0.39039848269974,
      0.487142127931444,
      0.397288208390121,
      0.487251517575266,
      0.392649363599771,
      0.496046896155054,
      0.437929424284852,
      0.444280494789985,
      0.438500990610356,
      0.45319203471524,
      0.588426556690082,
      0.552646039415373,
      0.618674081014023,
      0.511181628156463,
      0.42170809762063,
      0.519982554320245,
      0.690850198349812,
      0.428195386411551,
      0.446303002477693,
      0.429761604990193,
      0.577071523978529,
      0.280784475440836,
      0.647121882721357,
      0.75567200954352,
      0.530291225377593,
      0.544116218434316,
      0.584890267633557,
      0.5810753758654,
      0.431403909916942,
      0.523174614304804,
      0.766402585757123,
      0.496992080997247,
      0.479351876752247,
      0.485945981098994,
      0.600813727993731,
      0.421809837926947,
      0.587608742902898,
      0.690950549682858,
      0.500443511752175,
      0.569639485167032,
      0.628201391434456,
      0.550357844996989,
      0.560340927536616,
      0.568953597573701,
      0.602959489855928,
      0.642522817601934,
      0.545536723649098,
      0.462307105718769,
      0.496624438007514,
      0.544323115565562,
      0.375060227724942,
      0.609583955970868,
      0.483915628966288,
      0.575827525592746,
      0.688021801378357,
      0.547000542148961,
      0.586050022153068,
      0.540200095325415,
      0.57862409073495,
      0.589374484231274,
      0.548375444003726,
      0.467699518290712,
      0.592798361811747,
      0.579119763925739,
      0.478676895688196,
      0.705740607203223,
      0.547850108714621,
      0.603128732862798,
      0.52154423565399,
      0.663171522133902,
      0.580012996895413,
      0.586747233414907,
      0.526162631971372,
      0.531987275591754,
      0.586989739940198,
      0.471182316150493,
      0.753864268652857,
      0.628401826132831,
      0.455943315419197,
      0.681909908056149,
      0.496494191453382,
      0.574618505131553,
      0.668120551355341,
      0.756283959086201,
      0.560380579822872,
      0.532689080291253,
      0.572823636161854,
      0.555085387124864,
      0.566776595148521,
      0.432263173324689,
      0.624162463941218,
      0.550844316303778,
      0.468731442105894,
      0.622533888010645,
      0.546430959108285,
      0.572065249928771,
      0.416176325809995,
      0.429508921593319,
      0.469118502005096,
      0.466850210561802,
      0.437389653498491,
      0.415051644673786,
      0.46663253325501,
      0.450672177404566,
      0.465223034744522,
      0.368885472899884,
      0.446033911376687,
      0.461568250904017,
      0.45302694230191,
      0.275565768645269,
      0.481485657895892,
      0.349687052212424,
      0.554119822856444,
      0,
      0,
      0.311751736095512,
      0.367843652666255,
      0.312810695206105,
      0.319873662086302,
      0.328639464270263,
      0.404612214621325,
      0.343041040492715,
      0.316306682310475,
      0.229505891488766,
      0.378420360291623,
      0.286748962862499,
      0.39609800967079,
      0.392875532835138,
      0.442378830122381,
      0.279715891801518,
      0.331692550742149,
      0.313476476261481,
      0.491465020531915,
      0.324247069143377,
      0.428271216136199,
      0.478943344426429,
      0.26439693077868,
      0.366408015217422,
      0.281340187757465,
      0.4151627470752,
      0.505319500755587,
      0.494165330113995,
      0.652546476676512,
      0.458155867434561,
      0.388961656640663,
      0.497973313612722,
      0.362151680233518,
      0.411815383707024,
      0.326527765094795,
      0.427384740674696,
      0.534163537303036,
      0.375696474588069,
      0.533490723139386,
      0.441276118494191,
      0.376408313688836,
      0.417254061691877,
      0.374564001064718,
      0.542017946091228,
      0.614817415863811,
      0.679948920327991,
      0.57945794233625,
      0.525258939391807,
      0.537423857974712,
      0.548726655103506,
      0.528638187320217,
      0.605557674581566,
      0.781084489733605,
      0.493682486801202,
      0.502812809806388,
      0.573166451075521,
      0.43288988755684,
      0.542080435463723,
      0.426750638915086,
      0.794922953092679,
      0.37425738703677,
      0.357491326206305,
      0.430049625029746,
      0.414907847455518,
      0.38834321310505,
      0.411179906616317,
      0.602547190246914,
      0.551123816878535,
      0.435511792448428,
      0.398669299863614,
      0.476903474880752,
      0.512882204175495,
      0.545861308135939,
      0.605623008911372,
      0.639172023871566,
      0.571104824105276,
      0.591235572098851,
      0.536054459603439,
      0.497830423950425,
      0.679892832003633,
      0.645257487682956,
      0.514726446273893,
      0.483406039597009,
      0.294297165414659,
      0.539172280643462,
      0.506045648587754,
      0.50240695907459,
      0.391406522342399,
      0.552863316174855,
      0.514073717578851,
      0.466422075566731,
      0.573171967404684,
      0.370266623231991,
      0.486889527900314,
      0.477983007950046,
      0.38579321329874,
      0.4453577976905,
      0.438025889213242,
      0.721817194605742,
      0.473722360996607,
      0.616929831488028,
      0.612578386298119,
      0.534372507466827,
      0.566682593074079,
      0.518886264470705,
      0.795313670442478,
      0.525187612847283,
      0.372165474968041,
      0.56805651323434,
      0.608241625139863,
      0.509315351657015,
      0.371045865113105,
      0.789558947710657,
      0.53211454177902,
      0.351686099007001,
      0.47784346812501,
      0.507805244397905,
      0.43212915087183,
      0.32634946425457,
      0.514134300178754,
      0.44093398932574,
      0.324459839489871,
      0.43562338689793,
      0.497072010027055,
      0.447540984942193,
      0.357080133963286,
      0.342818248216609,
      0.375253132648084,
      0.397700372531205,
      0.492890932118856,
      0.468950910261859,
      0.613831215242165,
      0.467838501211923,
      0.51186797667677,
      0.496498239052174,
      0.66969038056124,
      0.640901752925698,
      0.608398223583419,
      0.494433751169851,
      0.488528023618615,
      0.583083626150592,
      0.444442328033282,
      0.512693805679675,
      0.481671818396894,
      0.578777814887454,
      0.577233477496996,
      0.554241443412451,
      0.547759746285738,
      0.55992211062893,
      0.427761777427421,
      0.458012216154539,
      0.726307632527605,
      0.569296265300514,
      0.443686498738405,
      0.67392510102343,
      0.508018364974377,
      0.535842234433268,
      0.553052508531415,
      0.818341645891028,
      0.563112660752438,
      0.596644730350992,
      0.571476944769914,
      0.589865327369504,
      0.596266012856066,
      0.656210218864619,
      0.765671740985279,
      0.597256066009451,
      0.475720833355677,
      0.549599356417888,
      0.577624409653475,
      0.531656987537209,
      0.591216425657574,
      0.441524388516458,
      0.593126504074623,
      0.497076909990413,
      0.555725144178365,
      0.575701611119286,
      0.532397041886633,
      0.295068538985367,
      0.409571565040958,
      0.677617560201778,
      0.487400525984308,
      0.545403001490287,
      0.501840041425864,
      0.44194481702749,
      0.592123243727641,
      0.518258887253461,
      0.546932228448531,
      0.577831408098944,
      0.538889786057972,
      0.57545314451517,
      0.592316909756572,
      0.519558666421815,
      0.621417895412556,
      0.521489149889703,
      0.504725561183421,
      0.475240764484798,
      0.665654778675694,
      0.488362041456961,
      0.669935163093506,
      0.475413154340442,
      0.480797067997565,
      0.411673948866073,
      0.425323933469838,
      0.766438485147504,
      0.506293255070375,
      0.412516259843603,
      0.430821607619864,
      0.379231102028548,
      0.344160026166357,
      0.350434425339816,
      0.808328533015748,
      0.382164218199808,
      0.553489102494319,
      0.63084607533274,
      0.570924779947413,
      0.439319707727173,
      0.515946139301434,
      0.752294741855414,
      0.643921707045622,
      0.511490037618413,
      0.525641178166261,
      0.579174735628073,
      0.439423057926464,
      0.544058593412583,
      0.46673534427618,
      0.503283142991135,
      0.52441022590891,
      0.739390722851414,
      0.436411098742036,
      0.461215291658524,
      0.313485512547722,
      0.553224374808914,
      0.56409552099718,
      0.469906477749037,
      0.40704491859533,
      0.47562627275437,
      0.433497594072551,
      0.399528818858592,
      0.393407415880938,
      0.49603435287114,
      0.727474283595257,
      0.696897074977086,
      0.59056436060496,
      0.473448984177031,
      0.600760751023766,
      0.501548485302205,
      0.570435299887364,
      0.524302150002011,
      0.544420231097047,
      0.670418061212392,
      0.47515269159426,
      0.554241534308458,
      0.630088294137558,
      0.430764296444549,
      0.445599741545803,
      0.726726098632571,
      0.7935068750165,
      0.412790047343458,
      0.453532331525967,
      0.402342960558527,
      0.474728566970796,
      0.434461863083659,
      0.385084276697113,
      0.758767081507973,
      0.597829699281642,
      0.49178028590376,
      0.407376899259807,
      0.454416815308518,
      0.569782534722225,
      0.478192578754507,
      0.633416024040274,
      0.543001316607871,
      0.529226465160691,
      0.593477135081663,
      0.688325388192643,
      0.562530189911088,
      0.678759788292796,
      0.579443573558224,
      0.474308389492714,
      0.5334558792393,
      0.447738153056118,
      0.540373287257082,
      0.530493177380541,
      0.643440498067509,
      0.516734517616183,
      0.697703845775851,
      0.501819056729313,
      0.39944404394057,
      0.639075231152256,
      0.480077843252609,
      0.511839034280754,
      0.428966407763746,
      0.638664673488256,
      0.571804324945655,
      0.368487038048632,
      0.555609912946129,
      0.535276688109534,
      0.5672872624446,
      0.494852577609967,
      0.439297636495863,
      0.502831887286742,
      0.536517266012707,
      0.714469120601748,
      0.603415960327323,
      0.464178986297051,
      0.553442624272037,
      0.657889727950995,
      0.532369295467114,
      0.423017722203612,
      0.806919179321454,
      0.559584713319385,
      0.562320295022664,
      0.479877172827334,
      0.407067528687423,
      0.619575658912569,
      0.54665820239546,
      0.665751385519143,
      0.631905245391191,
      0.532648152001425,
      0.3888785965778,
      0.413249902114182,
      0.480021974649405,
      0.281707785053768,
      0.5256619255074,
      0.435583666808887,
      0.608990671235167,
      0.631474356748409,
      0.537637781552573,
      0.624045326850229,
      0.601267227975863,
      0.605733983949622,
      0.624436288692146,
      0.521534903163974,
      0.467279962439506,
      0.593635904652915,
      0.545222385355529,
      0.477686710163704,
      0.579344799096905,
      0.427292124888965,
      0.603902317526657,
      0.644127327647332,
      0.480313000839898,
      0.558874962377259,
      0.596851383403118,
      0.508958470149409,
      0.56651083286446,
      0.536643847040908,
      0.429679247707085,
      0.64451017658399,
      0.504153445167306,
      0.448911479989785,
      0.651740712808535,
      0.525475185890944,
      0.544827921584866,
      0.60276308578775,
      0.73511862082461,
      0.583047398997927,
      0.549135452178228,
      0.620556136345141,
      0.514621818675384,
      0.51527544270855,
      0.643272879116774,
      0.811564215124066,
      0.650388927443443,
      0.505776846908786,
      0.593891622056008,
      0.548429701023115,
      0.532617788471876,
      0.373632531283747,
      0.35105671030086,
      0.426587364838524,
      0.357921520605254,
      0.36473706230201,
      0.3992384464445,
      0.300125840143469,
      0.19694903076783,
      0.447305981261435,
      0.345781935885921,
      0.54887428576592,
      0.46747530949018,
      0.359116201626613,
      0.492055386675386,
      0.370443141413035,
      0.380156454614175,
      0.413168556119448,
      0.368917013213168,
      0.427546523887534,
      0.246659197357439,
      0.364676554735966,
      0.427225804638083,
      0.400206061131399,
      0.47888429763392,
      0.378111227488101,
      0.433637673747281,
      0.423094906141147,
      0.594690867868682,
      0.565978039612226,
      0.53226970744701,
      0.506368991035041,
      0.502414265233044,
      0.48994107379672,
      0.639829564515231,
      0.504239620836254,
      0.479644431684768,
      0.454580059331363,
      0.588603325484724,
      0.43250034076673,
      0.616191005705545,
      0.771643600870261,
      0.560623125342714,
      0.598168314952161,
      0.599230405824448,
      0.541865232345075,
      0.43592158100691,
      0.514714120847861,
      0.841505594518187,
      0.5859929133025,
      0.427684407772539,
      0.571996505295898,
      0.581524016060661,
      0.480857613229591,
      0.589739434627207,
      0.722342401167149,
      0.553489662977318,
      0.614847129194947,
      0.618831675301787,
      0.46689073567494,
      0.545710929797676,
      0.587688713502105,
      0.611483905103281,
      0.639192624079682,
      0.498813856870544,
      0.357167394760647,
      0.457622533585927,
      0.476147615318585,
      0.378259580511809,
      0.535902914691036,
      0.437602394172002,
      0.536547656420179,
      0.662948912465357,
      0.493706106905944,
      0.558229809702836,
      0.560257262677958,
      0.588818055095201,
      0.551961519079351,
      0.578752396695813,
      0.519518439506086,
      0.636043912922523,
      0.549048010966066,
      0.455048781960805,
      0.630887483665747,
      0.475282156595748,
      0.581224950866643,
      0.458250340898738,
      0.657584657138641,
      0.586532157661196,
      0.540367343640966,
      0.585215713646455,
      0.531919228027393,
      0.418063972603549,
      0.470070449298519,
      0.777459653328783,
      0.574552376965635,
      0.461271694301954,
      0.639486076852832,
      0.513933628653243,
      0.53628748442578,
      0.58245769623197,
      0.811197228370049,
      0.556869770081557,
      0.562177686569876,
      0.554660517517171,
      0.601952575431469,
      0.60063685114181,
      0.66186248785743,
      0.639633580901496,
      0.62744300037328,
      0.46322924968291,
      0.574550969652726,
      0.540213867204762,
      0.535107979996122,
      0.392323220404022,
      0.397151367010305,
      0.348119236867346,
      0.256373808035158,
      0.335513025474086,
      0.480853543321898,
      0.362735553476951,
      0.328547390568831,
      0.39832278431005,
      0.358324276387719,
      0.438705970159164,
      0.404342944027503,
      0.493740779119549,
      0.286597624671053,
      0.625396667992582,
      0.488259082007391,
      0.579677894509895,
      0,
      0,
      0.273946415724899,
      0.336936179508921,
      0.333648550303038,
      0.345565997418361,
      0.327536060212664,
      0.399969728944981,
      0.385562430704464,
      0.355867475748515,
      0.295221178600773,
      0.361766623155865,
      0.288412394511028,
      0.47149712524178,
      0.385860542975512,
      0.482383284398384,
      0.329179270049611,
      0.356651765394551,
      0.331447618021858,
      0.474013253025506,
      0.355132301687217,
      0.3959170231124,
      0.449626740385291,
      0.257651521385813,
      0.440317896283016,
      0.242351790512832,
      0.443169418973969,
      0.465647511452302,
      0.463094598821553,
      0.654343600370198,
      0.446325395139171,
      0.459661094966118,
      0.471380843030156,
      0.342911318352823,
      0.401504690126336,
      0.486863356174885,
      0.346880285909017,
      0.472466612158479,
      0.382429070935551,
      0.560054307435438,
      0.327140424858469,
      0.329287990937295,
      0.44180662206334,
      0.391615384638183,
      0.553344376154531,
      0.598500114644664,
      0.695812788222908,
      0.436336356231855,
      0.531279974114667,
      0.551090453265289,
      0.601788728999781,
      0.478057094467718,
      0.553619843063089,
      0.789183187145069,
      0.435624848143886,
      0.527313715820133,
      0.491591925418493,
      0.498557336920374,
      0.570975824059498,
      0.423561875022126,
      0.80150563155577,
      0.297300554522336,
      0.392122942349198,
      0.501743838600989,
      0.416916708711105,
      0.379908811944343,
      0.392384464087143,
      0.634787263690397,
      0.515861289188554,
      0.367872100948875,
      0.313279241027327,
      0.486272689107939,
      0.485876482337753,
      0.475277366398778,
      0.593016926767716,
      0.575056094421467,
      0.524850500222021,
      0.536459417066192,
      0.569741568696209,
      0.576046719766332,
      0.612319678267074,
      0.595136708575922,
      0.435880688831931,
      0.467772444926247,
      0.432653369767763,
      0.52937931764652,
      0.5263663477575,
      0.414859700811112,
      0.404781445811905,
      0.487913795886788,
      0.434942129371385,
      0.427886172728269,
      0.558711925669187,
      0.377205199609464,
      0.450648948640708,
      0.41396821933602,
      0.361028116348911,
      0.462912770210478,
      0.351289800093019,
      0.750740485172165,
      0.488153643772995,
      0.517298085011271,
      0.506612255092324,
      0.493118087219636,
      0.466555829133415,
      0.502476430554481,
      0.813356107462197,
      0.467794797875157,
      0.377730723811263,
      0.581115515808971,
      0.563717359783773,
      0.439908709713868,
      0.399927383214931,
      0.801704329085409,
      0.570196097411651,
      0.426223637971623,
      0.419845836054676,
      0.491846255679722,
      0.452954887212682,
      0.301106403663066,
      0.517682021402328,
      0.453649156374527,
      0.311489348069884,
      0.388102161701805,
      0.441761084152785,
      0.382831544313035,
      0.347409897899847,
      0.369710476134542,
      0.418623987824493,
      0.439047104104993,
      0.469927824488126,
      0.462918603036444,
      0.562655958121906,
      0.445913890777657,
      0.519642104700216,
      0.424616340571909,
      0.566119017673066,
      0.554109978041275,
      0.574644964260963,
      0.414818498546351,
      0.42641609918152,
      0.596027123286717,
      0.489867558931441,
      0.578343526917908,
      0.486260810614987,
      0.594270099976451,
      0.53953596113497,
      0.562559142610695,
      0.512781836722635,
      0.475362282621044,
      0.45234207166251,
      0.453553352618014,
      0.739421543722035,
      0.571958305389144,
      0.466321074171882,
      0.600781233200192,
      0.508642853821382,
      0.550842858343146,
      0.511463331304218,
      0.824177587583236,
      0.615398743333028,
      0.544027579018452,
      0.586690172495178,
      0.567623275965643,
      0.582201455307454,
      0.591347741964859,
      0.788620387226112,
      0.6204734358066,
      0.52254050106496,
      0.495269529603486,
      0.560862544280273,
      0.56292389859815,
      0.583589720425537,
      0.415764410245659,
      0.516185621798643,
      0.543841802475253,
      0.510082360239573,
      0.575651627284596,
      0.54051070573093,
      0.311675424972157,
      0.410253592510038,
      0.639321676977292,
      0.517699276764481,
      0.460985983970524,
      0.551720627421334,
      0.513598975758184,
      0.658051412800835,
      0.473322819985661,
      0.515359539406786,
      0.557841493544682,
      0.525127027818237,
      0.523823824210877,
      0.549932795234454,
      0.551864526472583,
      0.564001027320618,
      0.606580106415475,
      0.537799920601287,
      0.481604760619827,
      0.6589576364874,
      0.466147911938571,
      0.519336588155143,
      0.403393699806415,
      0.436711457049458,
      0.325393586700383,
      0.392125283367414,
      0.779796667451772,
      0.526325697040581,
      0.43254853635265,
      0.37780867832867,
      0.398516291856567,
      0.503198029491244,
      0.398657530809004,
      0.813047403540471,
      0.428224171193135,
      0.439785978968032,
      0.486893295111426,
      0.551340603300017,
      0.455605781383172,
      0.478447369431969,
      0.730047195084067,
      0.656136464488472,
      0.474855126568246,
      0.511072885878964,
      0.56521760893568,
      0.460386798236943,
      0.530895188408691,
      0.495602851580451,
      0.468016318531059,
      0.414113611871716,
      0.638901283706404,
      0.438084852945842,
      0.395606291166117,
      0.274874715835704,
      0.352816745746995,
      0.598559075459843,
      0.453571373059915,
      0.404009415069602,
      0.497607592795447,
      0.501253450312477,
      0.393546451531284,
      0.424227143913685,
      0.368031713051128,
      0.550490838103252,
      0.649563643175679,
      0.575686695875935,
      0.451960405723619,
      0.559464688934154,
      0.528940243956269,
      0.590586232091389,
      0.532252504734045,
      0.576429326464803,
      0.706379583901672,
      0.424684775970716,
      0.459536954553201,
      0.550837629012306,
      0.465341457968092,
      0.452247896042612,
      0.483039005895062,
      0.783687244667322,
      0.392771025517012,
      0.357793331051473,
      0.398136105389404,
      0.430636945049554,
      0.3914221363706,
      0.368723766506695,
      0.814016742459128,
      0.531894154177838,
      0.508922787174538,
      0.361196760322715,
      0.465363391004547,
      0.497936805439905,
      0.4350826895195,
      0.653629109839012,
      0.515127924160605,
      0.521981832230505,
      0.543003100700226,
      0.699689951860741,
      0.509370347626791,
      0.60915483621577,
      0.624986623522668,
      0.431561705698106,
      0.545358108745575,
      0.475100135662243,
      0.494065798371425,
      0.550956260235125,
      0.486696692835683,
      0.431453944505665,
      0.669658158410975,
      0.460441299021582,
      0.421234655690878,
      0.51383540738176,
      0.521254329658932,
      0.466152877682527,
      0.32949171481651,
      0.49902341561336,
      0.535242781072429,
      0.389677616545766,
      0.541183864484722,
      0.570300285921838,
      0.491659114355066,
      0.535815830633337,
      0.486256392572264,
      0.432425412028362,
      0.536009718677345,
      0.750858243287071,
      0.672285648931557,
      0.456990356591433,
      0.503313328787332,
      0.564298477557273,
      0.524110405249385,
      0.471367504975649,
      0.80530327957166,
      0.59934982651004,
      0.542230640207221,
      0.476195860375931,
      0.426170484159552,
      0.535575314107147,
      0.513853814211057,
      0.65752623522739,
      0.556469598202262,
      0.49281656265366,
      0.455645630587182,
      0.451540723895794,
      0.530556270400365,
      0.390133044208608,
      0.526577939070804,
      0.480343558666949,
      0.493376791754929,
      0.568549975401519,
      0.466740204038599,
      0.587742160925456,
      0.531499731208609,
      0.555133117483387,
      0.56817488803782,
      0.465615942951101,
      0.486580163953193,
      0.581146721108357,
      0.519406181578317,
      0.462037563517555,
      0.608528311098519,
      0.43441574014331,
      0.485338104614114,
      0.533834718673414,
      0.506942326429573,
      0.625440801268873,
      0.550845144538047,
      0.501749191233082,
      0.518545546150705,
      0.591174811652334,
      0.446789313359825,
      0.645335752596372,
      0.526356737905669,
      0.489559098297836,
      0.641042760434439,
      0.486427960698006,
      0.557469727437807,
      0.561719136550523,
      0.737999369865281,
      0.54660757070901,
      0.531195170574134,
      0.560100826195252,
      0.512644318560862,
      0.473725947551199,
      0.592199619226144,
      0.832290230083297,
      0.619429023266679,
      0.529450944877737,
      0.525168351489429,
      0.553259121943375,
      0.546250501508206,
      0.352566757423865,
      0.389606554977899,
      0.432847917469127,
      0.347131500501001,
      0.458784351469977,
      0.321931895224856,
      0.334472461095042,
      0.225060599135063,
      0.420773511852567,
      0.405985506048364,
      0.530478581666544,
      0.419402565041606,
      0.400568916652963,
      0.489843044578364,
      0.315811419966164,
      0.416002766894333,
      0.394341391578958,
      0.394946229803862,
      0.418749234294098,
      0.273002516222733,
      0.344920543681805,
      0.424606150982816,
      0.374713765329835,
      0.440200195542909,
      0.391659034538786,
      0.422122787236323,
      0.501149069972253,
      0.635955201166368,
      0.476745675604501,
      0.418060538077176,
      0.500949887025319,
      0.558886835576083,
      0.458993533614337,
      0.670153966871401,
      0.567296717593413,
      0.653048754643293,
      0.531680072374144,
      0.537177383147798,
      0.452105417841306,
      0.465027800972511,
      0.794844860406881,
      0.579993455459345,
      0.50725647453237,
      0.483698121001441,
      0.546906907408576,
      0.579554970106257,
      0.478976642409076,
      0.838223633514796,
      0.515522313300449,
      0.434989350470201,
      0.579520871371614,
      0.545617451204341,
      0.463474868253543,
      0.46369745698295,
      0.738528883790625,
      0.574806028238267,
      0.517454303605807,
      0.527214381681534,
      0.439397004074557,
      0.519991756386288,
      0.525501625435124,
      0.544104910159723,
      0.593979850201385,
      0.487395849529544,
      0.406285093884511,
      0.511259616395185,
      0.447622214968046,
      0.378157602306159,
      0.554317526727927,
      0.43384646513212,
      0.505488603375056,
      0.545898728984015,
      0.560324263506207,
      0.583004086459833,
      0.527406413473814,
      0.548438724469174,
      0.455557017145171,
      0.549785308032975,
      0.515520864832972,
      0.643196086622845,
      0.531747746162878,
      0.482760714480097,
      0.6093482065163,
      0.51246287220883,
      0.531040855138906,
      0.466822296161903,
      0.675735411339208,
      0.535615923734228,
      0.546147881129031,
      0.554248837054736,
      0.491905158171291,
      0.408300165171607,
      0.470852020087517,
      0.781701266152381,
      0.558583832573276,
      0.484772722027947,
      0.533887559337704,
      0.516452902358353,
      0.570034112617936,
      0.550864067661259,
      0.822826918150443,
      0.599308270509017,
      0.506669057628429,
      0.588391481846318,
      0.572225561579228,
      0.590441652034935,
      0.596075667280501,
      0.669347245609018,
      0.664294497695296,
      0.449925703107997,
      0.54050131218963,
      0.545768662610864,
      0.575159408860176,
      0.408853402129346,
      0.369057083012922,
      0.387684980477439,
      0.285569844038454,
      0.353451470793865,
      0.494592879290957,
      0.293167323854688,
      0.309080264530581,
      0.370963898570557,
      0.310613214318148,
      0.354671993057077,
      0.358420111573114,
      0.456891929633312,
      0.399764339495449,
      0.566916974575636,
      0.429512918872569,
      0.565405934773653,
      0,
      0,
      0.294950028615603,
      0.304944438026541,
      0.436494917676558,
      0.299734286967023,
      0.339721381969997,
      0.388591840917144,
      0.437922991505955,
      0.370716486054564,
      0.306026606387644,
      0.329540693667541,
      0.386738610024912,
      0.372417784555574,
      0.543956086926717,
      0.652294613137704,
      0.361725793536697,
      0.375463490680013,
      0.337943701632005,
      0.469096387226355,
      0.337073445074908,
      0.435155837164608,
      0.418473148011119,
      0.278971004554298,
      0.398643105496717,
      0.327349437435175,
      0.428293427130547,
      0.45968566244598,
      0.46707758421548,
      0.69655164009456,
      0.520124675280689,
      0.43850735489371,
      0.459519482016742,
      0.374735560294254,
      0.456413735979535,
      0.528543997326496,
      0.368287470120455,
      0.485945893285475,
      0.364978137057959,
      0.481602902847234,
      0.38526039807599,
      0.429042179585345,
      0.484056418435733,
      0.415684217728327,
      0.558345300065716,
      0.552968012685051,
      0.70886211780792,
      0.438125545444969,
      0.561542365952492,
      0.592508365688722,
      0.565782395894071,
      0.532696078086505,
      0.490874220442103,
      0.784461227572801,
      0.428864463713554,
      0.577808278946768,
      0.464123496438607,
      0.479232577342839,
      0.620758752683565,
      0.510001344543049,
      0.800188366688351,
      0.34949701724008,
      0.693962861682222,
      0.539733223321101,
      0.381541809050574,
      0.359971975424021,
      0.386867718522309,
      0.630795902077895,
      0.463550563379191,
      0.423131085930242,
      0.341880499939742,
      0.57356400452208,
      0.51008304008405,
      0.490681649280553,
      0.486604119019621,
      0.709669779585428,
      0.487445799363712,
      0.423862784633886,
      0.538025985596075,
      0.563365721431652,
      0.469908054202351,
      0.421878884605496,
      0.443820076514597,
      0.441116933715209,
      0.446255182094649,
      0.491155437774642,
      0.543723405190628,
      0.450608519594006,
      0.407149445563875,
      0.480712911447361,
      0.436267852845709,
      0.372038996994129,
      0.557636447122467,
      0.445025874744443,
      0.449173195969946,
      0.407959685754775,
      0.389137794490304,
      0.43719332515433,
      0.426579935772228,
      0.734585684693158,
      0.621577658306677,
      0.518888452674185,
      0.45552392265733,
      0.512438445019842,
      0.4392066729521,
      0.445584989668915,
      0.812449956515299,
      0.439301172565232,
      0.417570787289185,
      0.529578348723781,
      0.484471550747688,
      0.428552687234214,
      0.478315209960353,
      0.803192724467715,
      0.50097274022438,
      0.414685975965392,
      0.406040066087544,
      0.45404915503412,
      0.38862543077374,
      0.283256369833073,
      0.52581121700809,
      0.404635114659664,
      0.396264488087998,
      0.366701593368488,
      0.428538544494011,
      0.42495775779518,
      0.330337867676087,
      0.452944989538158,
      0.478747210759167,
      0.396907242050008,
      0.418878253904414,
      0.515631163094058,
      0.482551899892629,
      0.397728881331876,
      0.434895949241682,
      0.425096128639661,
      0.500551694666032,
      0.517521569140045,
      0.528833370577489,
      0.488719698250675,
      0.417099716608068,
      0.550247857684058,
      0.521475336346388,
      0.562934179336602,
      0.514410716571725,
      0.591686042290287,
      0.640603698253925,
      0.595461861827314,
      0.506493972411598,
      0.524942906910673,
      0.523093269173074,
      0.436880348374776,
      0.733696337489122,
      0.552327563319769,
      0.497571684357755,
      0.631912939731805,
      0.509038810603476,
      0.525786190651719,
      0.540074931371259,
      0.814925819816525,
      0.619023876931579,
      0.565643763952946,
      0.626128227251751,
      0.502287008588521,
      0.580233223306977,
      0.477297109632118,
      0.780627089443042,
      0.602877041899784,
      0.513944106277005,
      0.505958283130973,
      0.493498301862485,
      0.574764506891179,
      0.570619748603512,
      0.38295159503609,
      0.597547962780223,
      0.555788079280203,
      0.52821305505848,
      0.656113586829328,
      0.526440917654641,
      0.327455836411133,
      0.346750574034927,
      0.616036276966542,
      0.566934537139278,
      0.472766600967256,
      0.57482354208921,
      0.63378224642246,
      0.690172352251431,
      0.501427471695425,
      0.511014536433112,
      0.543549353315931,
      0.555395254616144,
      0.52866418487793,
      0.522326248420149,
      0.565835595984411,
      0.459869276934588,
      0.618863408175261,
      0.521435908528726,
      0.492115989394684,
      0.666211426428917,
      0.459126660685565,
      0.542336244420599,
      0.417065513457063,
      0.45469305466979,
      0.322988125782589,
      0.343064056274679,
      0.772507272878836,
      0.544320638203384,
      0.437593191868106,
      0.451741777506662,
      0.471822038358646,
      0.50985973155819,
      0.428175720630301,
      0.809414070445785,
      0.563424366931501,
      0.404710318388739,
      0.437795218169748,
      0.532696889774815,
      0.434831478838521,
      0.450582106845233,
      0.721266789676435,
      0.668575950492004,
      0.427701731340697,
      0.52472909239931,
      0.658507020210771,
      0.568304504215548,
      0.528025594989068,
      0.491823818394541,
      0.449343692488121,
      0.433191444517209,
      0.503583043617369,
      0.431229994034668,
      0.421543409560656,
      0.286970622534088,
      0.30964071297251,
      0.590888201550148,
      0.426040149466391,
      0.698981727494748,
      0.444837579241234,
      0.613261186778989,
      0.395124856305679,
      0.393928761891584,
      0.409725266806686,
      0.527924248159131,
      0.568289077352524,
      0.512625771930903,
      0.458389383798926,
      0.534006513780167,
      0.531268010916381,
      0.601793619906101,
      0.464411782058578,
      0.543158844156213,
      0.684578561241769,
      0.57774331441349,
      0.531885458105635,
      0.508125315007441,
      0.438088838955732,
      0.471043179939057,
      0.508448504450582,
      0.792464263921264,
      0.407748593490394,
      0.440556482125546,
      0.383277840530048,
      0.511580728564907,
      0.437803179891295,
      0.325441350719092,
      0.813910431072708,
      0.5013547615249,
      0.467692158637803,
      0.407498223232585,
      0.462067536318732,
      0.533508837132892,
      0.468468008077511,
      0.633763364829249,
      0.498174489177711,
      0.505350692382491,
      0.440993534087481,
      0.655331800290362,
      0.549159907266561,
      0.414568900538556,
      0.597130328617555,
      0.452230750175466,
      0.496448685458815,
      0.472850040253824,
      0.530904243491635,
      0.553428738908028,
      0.450462116959486,
      0.396872244456584,
      0.563505330638029,
      0.454012444364951,
      0.482022109491536,
      0.513432916884904,
      0.525526418378825,
      0.444839700781846,
      0.263071597077899,
      0.363048785648418,
      0.526510257682047,
      0.383765854209216,
      0.548674992365656,
      0.594388220003758,
      0.444809749276752,
      0.416796133912688,
      0.431504386383889,
      0.457615625050214,
      0.474005243453341,
      0.752656608600113,
      0.634488150942374,
      0.452153295471102,
      0.421741199244897,
      0.491787581171692,
      0.521134828703228,
      0.507982570528838,
      0.809020384992527,
      0.533676993068398,
      0.624125289623799,
      0.463037032001877,
      0.444986434140134,
      0.536451435341393,
      0.470114942843143,
      0.682107499247082,
      0.578769312243536,
      0.448938648042509,
      0.320413904000159,
      0.499969657590406,
      0.473265513781137,
      0.371778936362187,
      0.57221793924118,
      0.56437521642196,
      0.429726985742379,
      0.565456252130652,
      0.50033623289043,
      0.52519479996598,
      0.525033602723669,
      0.539296460277016,
      0.604511316364262,
      0.456152106999447,
      0.449147442657911,
      0.555344096619057,
      0.481097990697454,
      0.404521235137811,
      0.637140899972581,
      0.483724349489344,
      0.456623652831711,
      0.5446016288968,
      0.519066796280207,
      0.676094058662262,
      0.462845592567738,
      0.53774425978335,
      0.498747482220817,
      0.564824608852643,
      0.375751896213356,
      0.628176464622345,
      0.526168290143894,
      0.510723604630601,
      0.636874609649886,
      0.449206457031559,
      0.51135388514961,
      0.527286049719186,
      0.747008526589467,
      0.562503155093458,
      0.654072615651782,
      0.541479925094985,
      0.537297226023487,
      0.517933096713337,
      0.491990516625364,
      0.81554615724944,
      0.601989543270082,
      0.555855162816603,
      0.492090849323044,
      0.441979124709146,
      0.604655098207118,
      0.320634613653977,
      0.379568346380451,
      0.429906601270018,
      0.364939141584967,
      0.413115501467196,
      0.341597957864726,
      0.373590417020052,
      0.336043304914948,
      0.375631357423114,
      0.436491430199625,
      0.430224100823341,
      0.492493489878874,
      0.574681335490603,
      0.510660580412852,
      0.440438774635347,
      0.394634238221404,
      0.406942299196777,
      0.397150102118932,
      0.40510490171595,
      0.305567332081869,
      0.423042253890178,
      0.427829655726173,
      0.391847887567129,
      0.451315006102769,
      0.40339221601874,
      0.45888176144655,
      0.465966483145582,
      0.594577595275486,
      0.430756002984343,
      0.489441355349409,
      0.606131124422765,
      0.593964009578044,
      0.464983636874274,
      0.657393832783911,
      0.513742320485099,
      0.641643495401657,
      0.569541025317697,
      0.594654092686056,
      0.421578311452236,
      0.474555590434229,
      0.779664958988227,
      0.621210421105251,
      0.48753067301848,
      0.434359504533361,
      0.512939161997414,
      0.622792730601616,
      0.508078088164508,
      0.827513716040472,
      0.514148168712533,
      0.510472401168664,
      0.501966761041649,
      0.582155646203828,
      0.407395293777142,
      0.584731544032527,
      0.736123241554147,
      0.496552771091154,
      0.453436758719375,
      0.453054723526904,
      0.475761853557266,
      0.531034443852545,
      0.526115297536503,
      0.530453961065246,
      0.596547903999636,
      0.491602525843622,
      0.314756214475498,
      0.551518962052114,
      0.487619437242185,
      0.377549957567149,
      0.548152631058397,
      0.505347174175179,
      0.497624790206928,
      0.56675420180313,
      0.524455615823024,
      0.652624529656675,
      0.4551424622606,
      0.510643066367331,
      0.517589569117061,
      0.542141745215539,
      0.498998583933515,
      0.609658037051702,
      0.528055477827001,
      0.509637848144175,
      0.63197611950446,
      0.557354788975544,
      0.462160431362282,
      0.518403610974684,
      0.699423918438764,
      0.571123186990745,
      0.650519828812599,
      0.513852563437659,
      0.509944683695176,
      0.496005679857872,
      0.44365747408176,
      0.783724115163029,
      0.563650820735221,
      0.492333133011088,
      0.574193517448906,
      0.51013608317544,
      0.563888769110843,
      0.545906095224823,
      0.816478314797679,
      0.617433629855606,
      0.523041986118662,
      0.65161520404946,
      0.518916115556353,
      0.566060169057885,
      0.440057388794366,
      0.673817358008896,
      0.615343102141171,
      0.500494737603188,
      0.518355140740021,
      0.504198021354438,
      0.581083051355435,
      0.381687236490546,
      0.308037438285682,
      0.34645431550949,
      0.260247340040841,
      0.332225955189855,
      0.444578304255059,
      0.317677331946368,
      0.250372045043016,
      0.346693959745158,
      0.321023063707747,
      0.365652763937093,
      0.374814661203569,
      0.438901777580631,
      0.427352648399192,
      0.500400068176998,
      0.41778008706397,
      0.535321512866436,
      0,
      0,
      0.451334457629625,
      0.369691560403092,
      0.432770666084048,
      0.329211934040789,
      0.343309158084002,
      0.458842343601324,
      0.457238164457439,
      0.45040574944774,
      0.408612694390973,
      0.35961089637864,
      0.38222581154462,
      0.362468648769376,
      0.53468318516367,
      0.60597463471399,
      0.499983493265408,
      0.557814693315985,
      0.513109375396247,
      0.514102862113526,
      0.426103941459521,
      0.466261875975468,
      0.610433447786084,
      0.392389560798409,
      0.602959155673526,
      0.526950923123371,
      0.461815268092703,
      0.50151912420315,
      0.598808527616179,
      0.637829655223184,
      0.553677711330856,
      0.380573542172303,
      0.505047057773945,
      0.418172862985807,
      0.531688184845328,
      0.544992182174405,
      0.417404503479264,
      0.479793173184309,
      0.404354424205964,
      0.492404685892913,
      0.423357729574118,
      0.421384314152544,
      0.603488110118449,
      0.381071606238486,
      0.536613031393644,
      0.570816127042867,
      0.680275418135651,
      0.468057661351854,
      0.576693756502289,
      0.522979431520266,
      0.607740774497397,
      0.570946374930987,
      0.52223918791728,
      0.76621028425988,
      0.405075033763741,
      0.599880052452403,
      0.474320389358319,
      0.464916105822112,
      0.602609966575178,
      0.47555454976401,
      0.767935169392668,
      0.389040041468728,
      0.753322595289828,
      0.59935346758148,
      0.444157039035274,
      0.384229268010703,
      0.33030229868555,
      0.590361065935926,
      0.42573712384635,
      0.534318150039,
      0.326159172298597,
      0.536448617206925,
      0.513762403893895,
      0.500983949616297,
      0.503659035461462,
      0.680062757202123,
      0.491374637022358,
      0.484244127689441,
      0.558405588358488,
      0.61498273289587,
      0.50382299980522,
      0.437587805435114,
      0.528914810939424,
      0.588217498548599,
      0.507832477448174,
      0.539452229119121,
      0.553444219159744,
      0.434636115179397,
      0.378498486336863,
      0.416258641299207,
      0.432494087979872,
      0.345622540743202,
      0.541715337178271,
      0.499731161478197,
      0.426843204001561,
      0.360458327133659,
      0.404612818718658,
      0.420315482799972,
      0.535538520189634,
      0.715536567614423,
      0.584281944495103,
      0.574651655723103,
      0.510768882173341,
      0.560349614066563,
      0.477093752126782,
      0.433665571512846,
      0.787503829610539,
      0.562718135477189,
      0.524282379592253,
      0.605324465014532,
      0.510006901736921,
      0.453102287617932,
      0.575133753384755,
      0.765495265185105,
      0.522129528788706,
      0.334938474195794,
      0.441798555343883,
      0.41172927969113,
      0.409394562863235,
      0.281286341942993,
      0.483278004763183,
      0.445307217289197,
      0.441694964015044,
      0.381025834374803,
      0.448085023918068,
      0.370862725438584,
      0.310646049366618,
      0.507280849649145,
      0.484362941796626,
      0.506870825618943,
      0.510804138465016,
      0.569170260571079,
      0.515023852814219,
      0.390814156025289,
      0.51272097461184,
      0.511816092897367,
      0.530073743988247,
      0.525044746030797,
      0.552294555483356,
      0.502564997243278,
      0.458031474612854,
      0.554392558267707,
      0.535176715084938,
      0.55079702925763,
      0.601090336190796,
      0.557947391000392,
      0.643484665991655,
      0.598469631294767,
      0.536259206628647,
      0.54611956316872,
      0.578991431842716,
      0.431962278871043,
      0.705870640423528,
      0.503796228143298,
      0.466234147365682,
      0.53090341884528,
      0.49611911830857,
      0.559949715946653,
      0.528090608367551,
      0.789651650638198,
      0.590986684871931,
      0.598527955100641,
      0.644773448966761,
      0.518026871558683,
      0.593803070552631,
      0.49919482058773,
      0.742102795483123,
      0.60840345614374,
      0.577500643480259,
      0.583898687919703,
      0.486932310216972,
      0.562036863466459,
      0.634229994214816,
      0.444178797020761,
      0.667644847619989,
      0.58514871589666,
      0.537893744682568,
      0.646455295615903,
      0.462678629695108,
      0.329701400716386,
      0.349480145750558,
      0.665840169446723,
      0.547622848948239,
      0.581844349024061,
      0.526723824245852,
      0.590086648792872,
      0.727445550849608,
      0.524096774757579,
      0.569124986991273,
      0.625124678205133,
      0.571989004048628,
      0.564088315794076,
      0.553931576175242,
      0.530401217355599,
      0.492119034762817,
      0.636719979686583,
      0.548289499596535,
      0.565990215683386,
      0.635113238344752,
      0.552674714241414,
      0.509843714180305,
      0.445149839517226,
      0.427790747701067,
      0.2615743621071,
      0.317915424496429,
      0.757207343226943,
      0.535384773418818,
      0.423960083794096,
      0.604879164322815,
      0.56479060987694,
      0.338739989512855,
      0.384643418267448,
      0.780112703558397,
      0.506357361479308,
      0.524300318620869,
      0.519558822379547,
      0.514882070305611,
      0.477901410042367,
      0.44273006138254,
      0.685129680049013,
      0.665735689496823,
      0.471152697695914,
      0.592056070214124,
      0.600547956975063,
      0.518656959970815,
      0.521086803838803,
      0.598049558193711,
      0.478118172252788,
      0.478513274652308,
      0.458501203759998,
      0.403455631891976,
      0.385529296505232,
      0.290309815687135,
      0.368880823759971,
      0.627467328302972,
      0.39247327819186,
      0.710610464181099,
      0.45416920989063,
      0.551259356063845,
      0.38322136382919,
      0.413431493440895,
      0.398441195468295,
      0.485640666388413,
      0.557096347650232,
      0.529572488580971,
      0.515635938383453,
      0.495146036895432,
      0.504911574897177,
      0.600600939760724,
      0.539019658464342,
      0.569851207536722,
      0.666591888665256,
      0.562234017952984,
      0.589574302903827,
      0.495182265942463,
      0.404584132458644,
      0.52323188160547,
      0.509406202058839,
      0.776023696419089,
      0.561799223372744,
      0.594305237615703,
      0.525126368633735,
      0.617114613442297,
      0.434445477973815,
      0.365992347227426,
      0.778045562720083,
      0.466124455313528,
      0.511352195363147,
      0.403503811054113,
      0.46035438383979,
      0.544519337476992,
      0.594854587948418,
      0.626632561838922,
      0.48291394387142,
      0.53080295887037,
      0.532697128973663,
      0.632219281900528,
      0.528054897053897,
      0.510042510770805,
      0.549133853837389,
      0.511194711726916,
      0.601918769483222,
      0.530808611665573,
      0.632862827548848,
      0.604861514472315,
      0.473776714555218,
      0.421012317926311,
      0.574376715602651,
      0.559938493285804,
      0.563262141454595,
      0.488697260774482,
      0.571210413325826,
      0.439734496624238,
      0.33739317743094,
      0.367711726851373,
      0.531688374452509,
      0.360938414064043,
      0.599520499190668,
      0.597552223000822,
      0.621096386850482,
      0.520697501920288,
      0.51366391405771,
      0.519474213692954,
      0.49615353994317,
      0.703222380972499,
      0.606229230349848,
      0.552135796289911,
      0.489924482737299,
      0.457114501054591,
      0.558097027737178,
      0.57529946676774,
      0.781586726661716,
      0.526546705934039,
      0.649836551070455,
      0.517951874133856,
      0.5150490941395,
      0.573030876295141,
      0.552981796351209,
      0.714640381303377,
      0.548078913786046,
      0.461815121479056,
      0.399963176385594,
      0.476389359462124,
      0.491790811763721,
      0.348024085385143,
      0.663364064989313,
      0.51749068174139,
      0.510292357388292,
      0.562634726580852,
      0.606744236114627,
      0.558428961095151,
      0.589789086844686,
      0.596179870349315,
      0.632935264805643,
      0.429868016105005,
      0.53548474866513,
      0.545647835022756,
      0.605350221333603,
      0.409867904031339,
      0.591399119618952,
      0.467349500534677,
      0.482648672079862,
      0.494678474755744,
      0.44766537057031,
      0.66662232363258,
      0.474450132419886,
      0.551109322061704,
      0.480006898704359,
      0.593374719850357,
      0.392808404940001,
      0.615844589298211,
      0.514675714243718,
      0.386741968840976,
      0.55446234771824,
      0.488570738277629,
      0.517146566184404,
      0.575242549918076,
      0.732617054514657,
      0.55922463510269,
      0.650537331038215,
      0.515528968310522,
      0.574494108884385,
      0.564891129302873,
      0.531028293480299,
      0.781730804944113,
      0.596090387807757,
      0.61324741479343,
      0.495201076828126,
      0.47626222517757,
      0.613143356662207,
      0.408711265635585,
      0.484761395983701,
      0.442790840032166,
      0.330094169856735,
      0.417377705158059,
      0.322281012308669,
      0.429875295991858,
      0.335822694184107,
      0.468722169513817,
      0.449298879451167,
      0.451116906735418,
      0.52359498271837,
      0.534472792009545,
      0.479258436092048,
      0.461530731772827,
      0.462975969824091,
      0.509994710643201,
      0.428920362384034,
      0.471970520631035,
      0.518119080874384,
      0.483399733699908,
      0.48945598712791,
      0.587304398571284,
      0.527846164414743,
      0.483782107934868,
      0.582025996258231,
      0.518467467845779,
      0.595616773152619,
      0.489890320823794,
      0.581362946909412,
      0.668154789478529,
      0.575169325263098,
      0.477836658326143,
      0.625536746130193,
      0.529203563121492,
      0.557746321130634,
      0.518363539369712,
      0.57021982063047,
      0.439562239822444,
      0.584749901729691,
      0.757382067110218,
      0.567194202961367,
      0.568768577798468,
      0.530488825974518,
      0.516499622931022,
      0.640766021361486,
      0.517681194696368,
      0.791080802513002,
      0.582948102096862,
      0.640408381024415,
      0.600012573968044,
      0.565850927092209,
      0.379873134608929,
      0.60116417161325,
      0.696282623079214,
      0.564138371037215,
      0.463848114179402,
      0.455954150850082,
      0.54745128265099,
      0.550859271840154,
      0.565093977522583,
      0.576777634240672,
      0.58802494132242,
      0.4620217690413,
      0.349589561554264,
      0.513726994839068,
      0.558446955173565,
      0.374197731913242,
      0.547947212036381,
      0.499391614515854,
      0.472331907902216,
      0.552716629655765,
      0.535943900457414,
      0.656560873934219,
      0.538040911457553,
      0.596584593566351,
      0.508950169267406,
      0.568013164955261,
      0.558304135379475,
      0.616020134223934,
      0.610639213594545,
      0.462550256712,
      0.570897414304036,
      0.552009107760702,
      0.499328937245847,
      0.598434179088536,
      0.667866243637802,
      0.582505741117062,
      0.649718651149174,
      0.514392202333504,
      0.576858337738638,
      0.545441577417526,
      0.419792371168285,
      0.756902992964456,
      0.527146354866658,
      0.490225023057958,
      0.522638067849232,
      0.520817463421725,
      0.572450513276363,
      0.530278342120754,
      0.78024802006179,
      0.614495703730987,
      0.550082758928571,
      0.647872413325994,
      0.532785425450034,
      0.590779675488902,
      0.468010416177399,
      0.688009525654307,
      0.608479356502953,
      0.601267180137528,
      0.604462312176984,
      0.537498868286418,
      0.554764422294253,
      0.402100157932398,
      0.31556125107192,
      0.367341082038936,
      0.29978064062435,
      0.358294902265732,
      0.437192448494314,
      0.370209664124845,
      0.329579516307049,
      0.428540463553044,
      0.335880015437258,
      0.398524078459257,
      0.444877150116892,
      0.462922166302468,
      0.450906792112225,
      0.499624950359996,
      0.411149026024497,
      0.551775933276736,
      0,
      0,
      0.577918589010968,
      0.45136703903461,
      0.516895055116966,
      0.486658422392564,
      0.509944652600135,
      0.595434041995023,
      0.545281753009098,
      0.553662181323908,
      0.509816664095005,
      0.437928621462145,
      0.544674717377374,
      0.54392373795769,
      0.47525721246806,
      0.487114489901471,
      0.583752500059509,
      0.620393133897806,
      0.496441978891911,
      0.552162718373592,
      0.476486090658014,
      0.522089323811634,
      0.639954855939406,
      0.466885020839802,
      0.670489558558752,
      0.553180739599447,
      0.47497181520237,
      0.581697564066763,
      0.661246976823417,
      0.594047903161397,
      0.652735940389384,
      0.556428932678684,
      0.497931442238838,
      0.579333106221862,
      0.537391936764025,
      0.630649142471203,
      0.493010051320986,
      0.482897255350741,
      0.51035012789857,
      0.56276368689451,
      0.494868751047719,
      0.473232878968424,
      0.681846357511915,
      0.52986383934944,
      0.471015076066651,
      0.621026722527137,
      0.670400856169968,
      0.533794459469217,
      0.599865271406776,
      0.459336508106408,
      0.607825945480758,
      0.61729496193544,
      0.54017806767815,
      0.755496657752728,
      0.458031583887426,
      0.623692193066179,
      0.489276468462953,
      0.48419597238376,
      0.587983882908102,
      0.582649480465852,
      0.738206300057587,
      0.474296624851894,
      0.552139818529412,
      0.72548702295335,
      0.527574723834945,
      0.473105768789786,
      0.414240934234749,
      0.58146216393666,
      0.540208661946389,
      0.540315731059132,
      0.479237589204703,
      0.476678663650336,
      0.480750027833157,
      0.513858118266166,
      0.553136365968948,
      0.689635362283627,
      0.542722929935296,
      0.558504338764119,
      0.592425669343655,
      0.601324731228228,
      0.513955703263236,
      0.51717318024458,
      0.611704794311093,
      0.666510940397237,
      0.570190516152577,
      0.601081776551526,
      0.61927761993488,
      0.429033912657344,
      0.527167073119764,
      0.544417203848086,
      0.493152888776266,
      0.445592415116913,
      0.575979692608024,
      0.534512233416167,
      0.446333904706708,
      0.489606048284901,
      0.486945772560662,
      0.519376403990469,
      0.625304017423266,
      0.722541840459532,
      0.570331469343379,
      0.629547301825407,
      0.549203990867388,
      0.694553603936376,
      0.510801376835484,
      0.520194754310791,
      0.753891156193601,
      0.629804470969914,
      0.588426051486338,
      0.535767641473245,
      0.508557682351367,
      0.464933286485362,
      0.546837939569994,
      0.718550343611999,
      0.576223370235994,
      0.508383437880555,
      0.541599066112408,
      0.449438053939361,
      0.494102462402013,
      0.371327203916264,
      0.566672998788209,
      0.573456952106047,
      0.420262761797859,
      0.521512253185523,
      0.512912982364285,
      0.348928908626074,
      0.432847818641821,
      0.569600032629345,
      0.446002874807107,
      0.556809292739261,
      0.562540117680354,
      0.596174990009708,
      0.536950623466892,
      0.430453601427817,
      0.509458736870828,
      0.562023585669984,
      0.561478637787252,
      0.590322095309864,
      0.604646663279817,
      0.522684509237907,
      0.467404942101224,
      0.580968259365999,
      0.515455585256626,
      0.53322634094359,
      0.615380941357248,
      0.610143537942278,
      0.640205063659812,
      0.57216278665231,
      0.542195079496826,
      0.494374958143924,
      0.560175410104528,
      0.500226484870739,
      0.686948701856357,
      0.669715551512621,
      0.542180775127031,
      0.546160108402118,
      0.472973997988432,
      0.461752470407053,
      0.589130400824536,
      0.764076617336786,
      0.580814740108389,
      0.643050818913178,
      0.639264138236351,
      0.564278621985284,
      0.618017490959702,
      0.536625817278555,
      0.71093257317155,
      0.563320388147448,
      0.632085930363705,
      0.574383294357523,
      0.549187386115034,
      0.572454832557955,
      0.643378819549334,
      0.524659481793926,
      0.609193181758987,
      0.534909238710784,
      0.601978428657625,
      0.626737094195961,
      0.589569830540325,
      0.394040999031077,
      0.464680324462466,
      0.622727195836145,
      0.549308947789741,
      0.591704557068979,
      0.452552294660823,
      0.564707727064098,
      0.76003909412474,
      0.498141752197579,
      0.620315353342496,
      0.608964614233279,
      0.518803157937143,
      0.641289771069678,
      0.597047856669743,
      0.525255656370523,
      0.542629372804823,
      0.614258519047819,
      0.632835797251511,
      0.627280043229735,
      0.647999332104066,
      0.608633733906225,
      0.601907740694814,
      0.463725471886761,
      0.528636055969847,
      0.455890906007392,
      0.448133260652955,
      0.73637836745706,
      0.510264381517569,
      0.468883783595746,
      0.574371054889724,
      0.534313699469888,
      0.469147451205154,
      0.393374764733795,
      0.753957278053015,
      0.441088463572847,
      0.603601084165098,
      0.582528449504841,
      0.52188987447358,
      0.475975330947984,
      0.464603224136759,
      0.649571128906203,
      0.653502014510545,
      0.505943645119129,
      0.618156379230528,
      0.497288503763862,
      0.370970367616287,
      0.535505333716761,
      0.654739094745557,
      0.581676182273023,
      0.50727002549897,
      0.515536829165433,
      0.491913106094795,
      0.402990236780226,
      0.34809485667191,
      0.482535022802017,
      0.502302210690384,
      0.422438973315396,
      0.490253436536688,
      0.467484813384009,
      0.450885676633443,
      0.406325892081909,
      0.430699427145639,
      0.370059749316905,
      0.472241505570277,
      0.608382203907354,
      0.617271671488551,
      0.575515211782359,
      0.517775563046482,
      0.529454600110312,
      0.599648942529614,
      0.610851142710481,
      0.595782540932585,
      0.690747323047215,
      0.524702381900201,
      0.684374572984362,
      0.483477391805517,
      0.430548910240801,
      0.592515174860377,
      0.54613401383484,
      0.734665872569736,
      0.701630229805771,
      0.623714954243661,
      0.719707843514815,
      0.641457043254008,
      0.463938563697657,
      0.451059813350646,
      0.741452052094531,
      0.537203375035713,
      0.558080604120769,
      0.51515876165912,
      0.504629192885442,
      0.54902778030841,
      0.677095792935411,
      0.618552683050917,
      0.492840745302534,
      0.686903720666636,
      0.668999748134315,
      0.625986059276488,
      0.585999894169185,
      0.613979036361322,
      0.560708531070172,
      0.575701295663975,
      0.664917769162358,
      0.600967328425648,
      0.589652306433993,
      0.636017442451201,
      0.52639737844424,
      0.599729231236333,
      0.622678911907208,
      0.614362998351879,
      0.736273735277025,
      0.60921540218961,
      0.562273737411583,
      0.46728511519607,
      0.466155686930139,
      0.541730122574739,
      0.587264342495587,
      0.471552261771508,
      0.581317429018124,
      0.636685111463948,
      0.669327878255717,
      0.545597683433517,
      0.624274902801948,
      0.667405704155596,
      0.59553576718766,
      0.671621574155359,
      0.669741453407362,
      0.608821554052828,
      0.625384653081558,
      0.570377808880958,
      0.52807632264017,
      0.603926696484663,
      0.749082014382817,
      0.563703819725665,
      0.655988413959114,
      0.560974371015288,
      0.50194731935357,
      0.602884692825228,
      0.553032707627259,
      0.670436556232649,
      0.534797251012732,
      0.536852808614016,
      0.492086637475476,
      0.495664445430863,
      0.523023501337144,
      0.467462929852092,
      0.586190026713849,
      0.533234383197038,
      0.591750691277591,
      0.625486010558299,
      0.629949693320814,
      0.553389246171044,
      0.567987373054406,
      0.61147708379173,
      0.633402563205336,
      0.456574088596018,
      0.605029353214609,
      0.576855695790353,
      0.566185821453893,
      0.492862074714447,
      0.652153634178972,
      0.525497187790886,
      0.55333575044106,
      0.582024894889764,
      0.543627119340076,
      0.652529838911225,
      0.526308037145532,
      0.573607856708387,
      0.52773344295785,
      0.585915118898607,
      0.515147620931861,
      0.646411556860771,
      0.586549654360283,
      0.507761901460299,
      0.584800999134238,
      0.50855966119381,
      0.511255074000666,
      0.61207267738803,
      0.719134942870803,
      0.611081306305689,
      0.644882592366173,
      0.491728534558097,
      0.582274514641379,
      0.604818076933021,
      0.560780703572739,
      0.767538099985329,
      0.678973467425223,
      0.639492579301537,
      0.473293767042467,
      0.526489156976709,
      0.565325271155347,
      0.561488437764388,
      0.548574445643754,
      0.499570288888001,
      0.445983474698793,
      0.537538646724228,
      0.439596256723159,
      0.447605430478113,
      0.344696152794788,
      0.49129574497029,
      0.54631050177349,
      0.498790290539657,
      0.622679941670543,
      0.46232199146172,
      0.434836827724225,
      0.459906367596804,
      0.487608466812648,
      0.580514019301156,
      0.469739384540967,
      0.574204381731478,
      0.582370881010663,
      0.52387539327388,
      0.525437279322416,
      0.574956305955253,
      0.578465059052691,
      0.558530111566876,
      0.647780969794086,
      0.57457284181523,
      0.590714587194142,
      0.439650312752214,
      0.60548489137944,
      0.649756508622338,
      0.544300558754033,
      0.627912797442318,
      0.648035665699906,
      0.653467513235103,
      0.644741997089213,
      0.537268825696349,
      0.641971279897764,
      0.525401885207637,
      0.595911957268307,
      0.750846462084061,
      0.545255230582322,
      0.631070514402328,
      0.560861426824251,
      0.63027431135212,
      0.577032550547404,
      0.61801397601618,
      0.735803075311144,
      0.651416065903039,
      0.644197668900718,
      0.607592771733687,
      0.561008872065911,
      0.42404499596656,
      0.602791074824415,
      0.67497563064656,
      0.625622267350251,
      0.501406260266546,
      0.528570945168645,
      0.584951333608344,
      0.560280809809423,
      0.558750719231636,
      0.597733587230083,
      0.587568723366598,
      0.485969403305332,
      0.538095983119389,
      0.474510306918427,
      0.531375332296411,
      0.455396632041063,
      0.598028130324108,
      0.461512211745503,
      0.529828050384395,
      0.567424337108163,
      0.618953918969988,
      0.595855432965875,
      0.554227597621773,
      0.606133534949991,
      0.491555471045232,
      0.540322244798847,
      0.629555123831927,
      0.611737844950659,
      0.591309638932659,
      0.445233909609722,
      0.569413795109943,
      0.567668390501453,
      0.564099998039183,
      0.607999575228612,
      0.656276500311338,
      0.641826403770637,
      0.610695197310851,
      0.529276322327532,
      0.53111534029389,
      0.5673399898444,
      0.513047734731104,
      0.727744694513267,
      0.666275997673502,
      0.5133387585116,
      0.537860853566479,
      0.523262680814348,
      0.506847526758533,
      0.582052937405251,
      0.734359850030267,
      0.591431141363753,
      0.625044277513745,
      0.656290608587757,
      0.555024355061303,
      0.629676697602235,
      0.522877213720836,
      0.632647685011531,
      0.568193873440707,
      0.657872678554778,
      0.629543229500535,
      0.566862721187206,
      0.555889792756701,
      0.403440629475208,
      0.362066082530855,
      0.336175895314802,
      0.251782547518207,
      0.342635242801323,
      0.398655900523402,
      0.376882558207448,
      0.264415855306915,
      0.399303824812385,
      0.336925567417237,
      0.358684773083565,
      0.430851458512034,
      0.490112986209119,
      0.388744119912616,
      0.514262636681035,
      0.45403239156034,
      0.550297971811144,
      0,
      0,
      0.581750056570065,
      0.530360259982533,
      0.490935775174281,
      0.495133596195059,
      0.532428597805088,
      0.553199693819255,
      0.555079331395867,
      0.530292216067671,
      0.493571899531167,
      0.459450367126378,
      0.540777565518106,
      0.550019716195032,
      0.475243763744122,
      0.460336854124682,
      0.404495003950018,
      0.473198457580753,
      0.320240491925844,
      0.471712923872116,
      0.352139772586847,
      0.403614990024276,
      0.527207307596828,
      0.385093852014333,
      0.533368455187887,
      0.370493719477345,
      0.393342988818237,
      0.528766713127595,
      0.530120857134215,
      0.613857177597165,
      0.713725678294618,
      0.798949414940326,
      0.615921526141598,
      0.680469807714883,
      0.503620879462447,
      0.679016853236152,
      0.520171669852425,
      0.481988107468157,
      0.60569984156122,
      0.559532455689727,
      0.71390119256412,
      0.479663807452468,
      0.690444740460643,
      0.545148681320499,
      0.467568730563937,
      0.544450414900836,
      0.65729070144967,
      0.590025298587796,
      0.54400252593982,
      0.524721142999543,
      0.527024025043257,
      0.512583094175793,
      0.534839423594412,
      0.716773452053611,
      0.54604336289108,
      0.601224592211596,
      0.489438933750737,
      0.494426570808895,
      0.59123064199167,
      0.697279533387205,
      0.716347915190455,
      0.508785304754926,
      0.554779120310486,
      0.755545219572527,
      0.564400033685216,
      0.48413337546446,
      0.612545093603156,
      0.609154195500374,
      0.623003290717995,
      0.579513228533013,
      0.546013513268072,
      0.548295756230044,
      0.474935444495568,
      0.503384954681618,
      0.611361013814925,
      0.687487838354591,
      0.534367276822109,
      0.500229719279286,
      0.494048177497943,
      0.561651909376662,
      0.508355147236116,
      0.580745259394094,
      0.723674179780482,
      0.647429836280278,
      0.442149295453041,
      0.510607706480198,
      0.58085201104607,
      0.426549961424614,
      0.518715144091835,
      0.574267441146404,
      0.49624071392849,
      0.560059411136115,
      0.600731372731343,
      0.555145477804779,
      0.4565580433944,
      0.481822232081817,
      0.504903093515269,
      0.511192366468647,
      0.488697269560652,
      0.674781610634042,
      0.602895364590205,
      0.559790089134517,
      0.413933569501609,
      0.647075908660368,
      0.481865379457322,
      0.522196548607679,
      0.689747005447623,
      0.483653085733274,
      0.449137285107098,
      0.37636404279746,
      0.45622374023016,
      0.50404985486039,
      0.477634633887527,
      0.66315784346743,
      0.552118145136104,
      0.531324410111118,
      0.646521323567436,
      0.552342049073411,
      0.508673896395804,
      0.394369846112099,
      0.602715518030484,
      0.543151301190261,
      0.400929615062133,
      0.549114539487057,
      0.510167630583644,
      0.362659042745765,
      0.397878154034947,
      0.523306473851245,
      0.419730550939411,
      0.433183508207958,
      0.505221531172578,
      0.716558478484668,
      0.533504821149898,
      0.458647408974123,
      0.500271998375903,
      0.423094586672281,
      0.522316308771763,
      0.521198568502399,
      0.530898444280111,
      0.51762139545349,
      0.490598904350462,
      0.573355688511142,
      0.505417118971608,
      0.457019971947474,
      0.5850744297228,
      0.64666158370714,
      0.559604123377183,
      0.57417448273384,
      0.56199470004702,
      0.54717304044287,
      0.631260141374174,
      0.491331266506953,
      0.707350011512957,
      0.615315576223622,
      0.551696721593149,
      0.649894066735534,
      0.5227123624226,
      0.504916090813697,
      0.585653366365603,
      0.696950923234815,
      0.599324918595529,
      0.557843740921275,
      0.555984152403868,
      0.583200950024937,
      0.683370627858229,
      0.4038444691543,
      0.636240086478436,
      0.610859264666934,
      0.539025588924363,
      0.498448700883707,
      0.534580872630676,
      0.548261532828431,
      0.627508711732806,
      0.543416686750885,
      0.572066004412765,
      0.552849558919144,
      0.564952616730404,
      0.579433103616441,
      0.682120384414405,
      0.44674121800874,
      0.485253268355078,
      0.590706438106029,
      0.580112479712716,
      0.632706610687045,
      0.545456178301925,
      0.543344219142987,
      0.697053954742428,
      0.448357361232537,
      0.498474881602812,
      0.592115723819082,
      0.504546828421937,
      0.568652144292801,
      0.64578148398086,
      0.460277832190894,
      0.466454551057276,
      0.607512332400718,
      0.596625387861841,
      0.619137784952408,
      0.658030548389891,
      0.476333972813952,
      0.607708542852309,
      0.54921749842172,
      0.536116339770733,
      0.480566048582564,
      0.508116076650623,
      0.697037666257561,
      0.50592881051082,
      0.440620735504911,
      0.463578005372424,
      0.481023038347088,
      0.475140160162833,
      0.468687612747055,
      0.685662101603529,
      0.457692941160653,
      0.476255345900624,
      0.509031492287467,
      0.446059763997473,
      0.372194907192395,
      0.490092726393407,
      0.593660661740522,
      0.619951120967822,
      0.407756237568138,
      0.459072087513198,
      0.44822122913955,
      0.395755068716561,
      0.442892658832997,
      0.513357744518982,
      0.545385430495158,
      0.476686399241346,
      0.591347307921931,
      0.553784478901133,
      0.425937708658982,
      0.373455929086392,
      0.541597587605351,
      0.531521138626008,
      0.45840140300476,
      0.499102792838947,
      0.445074797824237,
      0.4453851572711,
      0.383571126202703,
      0.459395338870878,
      0.446898901949987,
      0.504015203547428,
      0.585454464146436,
      0.598126519386064,
      0.465432046168332,
      0.577887333542141,
      0.506128670757136,
      0.525392263651233,
      0.525027145370815,
      0.587035946758165,
      0.642963164087805,
      0.462831279574611,
      0.590233059051964,
      0.434247932586429,
      0.519946977100744,
      0.493155311425104,
      0.586619057249502,
      0.690159583541378,
      0.748487857503436,
      0.575666360029002,
      0.764270194923296,
      0.638047801101548,
      0.506809480533689,
      0.48976591616975,
      0.694323892907754,
      0.594848815821628,
      0.573963633249257,
      0.62170019038576,
      0.547688667070867,
      0.61903802902546,
      0.606230235581287,
      0.545450891592575,
      0.517500982643093,
      0.702721310899286,
      0.675118259310375,
      0.56853614072564,
      0.485981674147728,
      0.515346473705872,
      0.617825020096545,
      0.557651626130081,
      0.61307002516806,
      0.747249021436532,
      0.586935127332583,
      0.669669920665826,
      0.546383826875668,
      0.605656348155406,
      0.584189740213428,
      0.578247586312216,
      0.820111886719457,
      0.660827136390882,
      0.5955676773171,
      0.486817545601169,
      0.558535290220345,
      0.615753499206041,
      0.643908817868508,
      0.443850788709268,
      0.612719283263565,
      0.625228012714677,
      0.718120362864184,
      0.432147062752673,
      0.755160545382189,
      0.68225101763588,
      0.601917121477707,
      0.659101840730222,
      0.661953490121301,
      0.544309911782462,
      0.62690075333944,
      0.584783392096955,
      0.543935542728502,
      0.676458652159299,
      0.707546596403146,
      0.573717976044299,
      0.614297443224037,
      0.63378283339868,
      0.632759549344355,
      0.618566671238823,
      0.564947426312351,
      0.632017600352915,
      0.632517150833886,
      0.497530973057712,
      0.469688917240666,
      0.458555654491376,
      0.612386978728455,
      0.466320439766014,
      0.59778706184571,
      0.519126397262803,
      0.506537848575747,
      0.634415182166347,
      0.653521787210486,
      0.561971157106237,
      0.58143006299696,
      0.578086749299876,
      0.617350254716906,
      0.471717640306309,
      0.518644572240228,
      0.494805774211109,
      0.545191357866968,
      0.474276890105059,
      0.724947822181027,
      0.507731902197337,
      0.511592965579357,
      0.566499716463321,
      0.593895297282029,
      0.593200893927307,
      0.557661910599665,
      0.58112430655775,
      0.578012508095275,
      0.56409392632219,
      0.50175971090271,
      0.62298663887202,
      0.564893464097316,
      0.499428810431973,
      0.731147512500611,
      0.511414657166148,
      0.508932459619856,
      0.52422762127164,
      0.688376889152213,
      0.596812635633186,
      0.570219833099395,
      0.530698333277411,
      0.569485985489464,
      0.673939088128483,
      0.447266749165915,
      0.72960691001263,
      0.62127065209245,
      0.54411522992702,
      0.505197456155206,
      0.51712707963021,
      0.709421108876997,
      0.615532836350398,
      0.568241182873689,
      0.52044679088343,
      0.46838340233927,
      0.540883914188018,
      0.479801893604573,
      0.446999376491461,
      0.394789622818906,
      0.490222555253397,
      0.525412108965963,
      0.568589316519906,
      0.548972620859884,
      0.499958464745247,
      0.409261529685531,
      0.360861718444572,
      0.364830761216311,
      0.477625909226976,
      0.373056686084943,
      0.538691111667346,
      0.441841586249358,
      0.402534702805946,
      0.472972210529152,
      0.389398240023652,
      0.470630200355941,
      0.465465870004775,
      0.503858693443059,
      0.449114065586753,
      0.598799797668051,
      0.443653976913241,
      0.480930859811089,
      0.553562978033433,
      0.547117012749102,
      0.613303357897077,
      0.646904707513364,
      0.624188387741193,
      0.597232357270095,
      0.513290009666292,
      0.645340411994106,
      0.510908328815906,
      0.500686219701985,
      0.696803585532713,
      0.557590394112658,
      0.584624102932546,
      0.543375189465364,
      0.601853526342623,
      0.519029801150408,
      0.602840521879943,
      0.702113672778585,
      0.574856000993213,
      0.609760119560475,
      0.545209479519658,
      0.468447106033176,
      0.460297854331065,
      0.483112168255684,
      0.600897795502567,
      0.535852773517256,
      0.521187378986571,
      0.636991979044954,
      0.644394515808188,
      0.566522438493413,
      0.578456716824272,
      0.605654892707672,
      0.618346450389778,
      0.520498093025188,
      0.565681792851024,
      0.485300417952984,
      0.587994088575597,
      0.433832069581259,
      0.688849388580716,
      0.470748523688286,
      0.494592092877043,
      0.549839530183552,
      0.610782292920553,
      0.577203334015893,
      0.558465367477843,
      0.586728813168861,
      0.539133685375919,
      0.561521082555802,
      0.576992446752583,
      0.577388016387278,
      0.515792141484953,
      0.457311007827531,
      0.716622814426568,
      0.581898988742579,
      0.481885319011717,
      0.567249804970312,
      0.640348541023604,
      0.569016372774415,
      0.567178631598226,
      0.533172723741344,
      0.561844119148906,
      0.669188696406075,
      0.478510027387498,
      0.715360822725755,
      0.60491582019784,
      0.542569850961421,
      0.568098346804201,
      0.542485113104925,
      0.532842984780516,
      0.624069723397838,
      0.682629593264099,
      0.561210989834074,
      0.549268168276677,
      0.599680492227822,
      0.534260939696858,
      0.705281705310188,
      0.399398380592863,
      0.542805677852071,
      0.604531805086125,
      0.580991870869851,
      0.530058063063078,
      0.534280058200038,
      0.59317342486575,
      0.595235611260372,
      0.498705146786158,
      0.379467955526767,
      0.339860013993221,
      0.40555784869947,
      0.421657382849081,
      0.446253061340314,
      0.325906262147672,
      0.466500962322157,
      0.356961588175502,
      0.43974342436933,
      0.482034238671648,
      0.517506263767337,
      0.360283840472469,
      0.410466666687509,
      0.384332490446719,
      0.455934674820741,
      0,
      0,
      0.468310970336456,
      0.459423613595184,
      0.414035168393213,
      0.378208937209049,
      0.399923184701277,
      0.526295676180176,
      0.57009551444794,
      0.528922025051841,
      0.563088957316386,
      0.420853487348771,
      0.45065426179255,
      0.354471348811944,
      0.391302364855552,
      0.463319664774793,
      0.311141629678265,
      0.401792585944985,
      0.282343149584563,
      0.385436164694714,
      0.282651937734572,
      0.322956781146104,
      0.480302673948883,
      0.286708559942273,
      0.380776041187779,
      0.293641840193849,
      0.36182740694019,
      0.407729629213482,
      0.392979030156129,
      0.526313270973915,
      0.572863393826964,
      0.745093018621897,
      0.589804661162558,
      0.560023639655485,
      0.51254849300169,
      0.636310690636025,
      0.448981024303141,
      0.49968871204341,
      0.604932008037035,
      0.565318280055194,
      0.683020077734761,
      0.4552191286678,
      0.600705589286241,
      0.493734459708714,
      0.523117448545557,
      0.549909136699138,
      0.644634130289261,
      0.633295160992799,
      0.510551635533654,
      0.547582472960465,
      0.51537811790949,
      0.549192030593313,
      0.512788747742868,
      0.748748303635192,
      0.602298687555136,
      0.645816384093296,
      0.500501198497227,
      0.47930149880855,
      0.590339473750708,
      0.596491263823897,
      0.711362331786474,
      0.48923892770205,
      0.539327938960478,
      0.640864028572202,
      0.483338702109412,
      0.420500640595761,
      0.583105743720289,
      0.589133721855976,
      0.639594670706065,
      0.590255579636072,
      0.553478773727158,
      0.517765163422653,
      0.421131689737737,
      0.444886238874765,
      0.632973317618901,
      0.660509131145582,
      0.424315329896986,
      0.40410096810121,
      0.514731802874742,
      0.53724722538216,
      0.486920857426439,
      0.658558184167236,
      0.761102908809821,
      0.584096160126747,
      0.417247208996206,
      0.513758018873149,
      0.597250066909705,
      0.467868301472318,
      0.496613641004896,
      0.494731176316544,
      0.432665662481667,
      0.621312332418594,
      0.618337973191053,
      0.619489828417246,
      0.435360963031112,
      0.516586311595215,
      0.434597663882289,
      0.478408990234717,
      0.488287449105128,
      0.674546311325701,
      0.615752490218599,
      0.660089064775401,
      0.510482546231128,
      0.546438835995288,
      0.515302089284622,
      0.491568398441094,
      0.692421857020206,
      0.411427078513765,
      0.351439962108949,
      0.381045231415399,
      0.443294029725734,
      0.440867569762188,
      0.36514911057524,
      0.595619656654255,
      0.527894822510971,
      0.481584930060786,
      0.588175187337589,
      0.51189809365454,
      0.45855581814868,
      0.408593142841155,
      0.522738754752527,
      0.482934560390508,
      0.453557397914445,
      0.523610049112552,
      0.444746734671537,
      0.404020441370235,
      0.340492457657405,
      0.485694101499512,
      0.401598600446665,
      0.37599572459519,
      0.385653676026734,
      0.770657315435595,
      0.548759545729894,
      0.432367081910177,
      0.450762620036522,
      0.490840637590518,
      0.500876675479056,
      0.492493004809436,
      0.505083541207214,
      0.413005111591051,
      0.398954936527273,
      0.529729074126683,
      0.480800438775884,
      0.428283131616029,
      0.528287312782404,
      0.620815466909685,
      0.519636214064005,
      0.469373933548268,
      0.544396082883162,
      0.655357361032491,
      0.553355805445977,
      0.533090411692975,
      0.683838112952728,
      0.615746548903715,
      0.530718863073011,
      0.65800517405277,
      0.508107194861451,
      0.536210833526132,
      0.557624139238629,
      0.717815950167726,
      0.596047795447845,
      0.494318183457316,
      0.516691533403671,
      0.549040761065308,
      0.62441330046496,
      0.33467572458442,
      0.606821513681009,
      0.720918100122962,
      0.569205746179572,
      0.444841445490259,
      0.532515778632331,
      0.551379898894563,
      0.591692047409932,
      0.548878994212121,
      0.647110867944302,
      0.54689910095439,
      0.555741097107673,
      0.528964267999464,
      0.689040355287309,
      0.426861728342169,
      0.411062801452928,
      0.5552832340483,
      0.635414965319521,
      0.52043011139756,
      0.583067342187928,
      0.429633674038083,
      0.626462969713864,
      0.491350349871446,
      0.50353576134441,
      0.564031326197635,
      0.507164958794897,
      0.56797961649146,
      0.655834365551496,
      0.470932430084429,
      0.454067575226731,
      0.576905611048367,
      0.499860098597302,
      0.521460629847037,
      0.678559676460541,
      0.471399069597617,
      0.576114603210447,
      0.554210695049631,
      0.507391579424886,
      0.412456964834782,
      0.505451007031689,
      0.71893238047839,
      0.551544162693032,
      0.487707635874276,
      0.443779297090134,
      0.4283936197373,
      0.349032376353167,
      0.426510347673741,
      0.687779540461065,
      0.437238722373278,
      0.509798432738101,
      0.508131306941015,
      0.454907122474564,
      0.359310331484239,
      0.40087881555747,
      0.556091019826606,
      0.547522584193385,
      0.371425431503909,
      0.34287896340561,
      0.384776599772557,
      0.404519010480619,
      0.41530320778403,
      0.440072040240811,
      0.486163817419376,
      0.501941015403527,
      0.666786445178527,
      0.523024192231417,
      0.489045891039209,
      0.31577472933677,
      0.495373518639853,
      0.516737919562147,
      0.480024865405334,
      0.463837463560037,
      0.456420715416999,
      0.472683493606961,
      0.384406469839935,
      0.326349517062208,
      0.490154652665734,
      0.532330244830484,
      0.655044553793201,
      0.571488826744768,
      0.422383076710231,
      0.504576432037198,
      0.403068813965463,
      0.491397942049501,
      0.409808088334668,
      0.555920856118953,
      0.638207149058796,
      0.331671822083667,
      0.441128814910247,
      0.505005963523723,
      0.391242658654943,
      0.404656801198624,
      0.65530878758822,
      0.698794854302415,
      0.607840148375211,
      0.565092583596634,
      0.692070188860834,
      0.475258888583522,
      0.458259784244081,
      0.534423593522064,
      0.661061394840053,
      0.593001692742072,
      0.574020038265325,
      0.482865457012805,
      0.637161717042964,
      0.594115729716033,
      0.498405269613155,
      0.471701703283129,
      0.69896090515184,
      0.622312114241778,
      0.491079502177063,
      0.609668885454512,
      0.521824201573639,
      0.413984850816693,
      0.588202194734019,
      0.475996531435163,
      0.49278448296884,
      0.762217778772062,
      0.58278354333174,
      0.691598111719991,
      0.545903474759739,
      0.507298469178785,
      0.658420265310111,
      0.540426074553385,
      0.635380496994721,
      0.564462575604679,
      0.565579779673186,
      0.50081798594203,
      0.521764525111622,
      0.614835433258916,
      0.628514730785868,
      0.417051097563077,
      0.613343672739199,
      0.631923465545191,
      0.723090094783106,
      0.489713677236869,
      0.772486163388298,
      0.608006621302878,
      0.561420948648375,
      0.672837964911713,
      0.69727151403979,
      0.460609803107628,
      0.636619610935207,
      0.52946656431523,
      0.473224492685485,
      0.560844041468978,
      0.697721141330228,
      0.523342871842101,
      0.632816970395896,
      0.622595754345547,
      0.626209546602474,
      0.676377519221646,
      0.61043467875431,
      0.607888147854383,
      0.671014792425649,
      0.481490273929705,
      0.515086385151929,
      0.423968308554838,
      0.634085194457508,
      0.37743286237651,
      0.654264190925896,
      0.464121991647635,
      0.3970319696715,
      0.673685655379,
      0.679061747679239,
      0.560627103445558,
      0.640269062784748,
      0.606128247864651,
      0.679573516273131,
      0.526663930553975,
      0.430428377367119,
      0.452780053401697,
      0.566903650190061,
      0.449087362264947,
      0.727518903569869,
      0.418617908594932,
      0.47625019627154,
      0.564109526406532,
      0.570735968353867,
      0.544615434043556,
      0.527058806127761,
      0.610489290200456,
      0.606309396433219,
      0.512183175811379,
      0.537298720769893,
      0.62836848766339,
      0.588531494511984,
      0.503369517978045,
      0.722190647891406,
      0.490129477796319,
      0.520338601467334,
      0.545381046287347,
      0.670344168799308,
      0.60390615898492,
      0.483255183726599,
      0.482387023991491,
      0.591537038107166,
      0.616287452041451,
      0.410360499893768,
      0.720473171895835,
      0.654554383325827,
      0.575547228322392,
      0.550816977255229,
      0.542521724620581,
      0.759126507719171,
      0.56561754369764,
      0.50497953044806,
      0.596652795720882,
      0.502109047696075,
      0.553543935997469,
      0.408385755136792,
      0.494765458050584,
      0.408158955907334,
      0.477534022821581,
      0.441745736935217,
      0.596813823095896,
      0.494718010331346,
      0.399894225261773,
      0.371599214969641,
      0.332866947608141,
      0.387036731658834,
      0.391678880549647,
      0.389058265593238,
      0.37562694118471,
      0.327603847226176,
      0.41855294842284,
      0.458726488902161,
      0.39117233896144,
      0.368015812433429,
      0.407027631626171,
      0.420637216901114,
      0.433312022646699,
      0.571662976335588,
      0.472117194870983,
      0.545857959913312,
      0.528818995413359,
      0.440991384691837,
      0.567603569364786,
      0.654366003757351,
      0.561921187589625,
      0.472215141582777,
      0.465423115843453,
      0.599386070341667,
      0.437512303432456,
      0.49193358284184,
      0.718229681655734,
      0.549920405617535,
      0.606272975573661,
      0.592467203757595,
      0.497227984092938,
      0.482269941128517,
      0.529527167333962,
      0.698196525143867,
      0.525192134543402,
      0.518570199884701,
      0.454326041693854,
      0.492873966207471,
      0.452562700827876,
      0.506099848992024,
      0.535891339310149,
      0.408383328363291,
      0.501759507111623,
      0.685477618497909,
      0.670520862268155,
      0.575870180975538,
      0.657024735167778,
      0.620027919237537,
      0.68977872893891,
      0.549233245263843,
      0.476050165419766,
      0.499751544781723,
      0.584185067065996,
      0.424971958109662,
      0.694626397848513,
      0.438324032985926,
      0.441662794741184,
      0.618322860965901,
      0.609024418352337,
      0.541866410802877,
      0.504857567010679,
      0.661779919152536,
      0.598819549811601,
      0.510435061300719,
      0.55165903883979,
      0.587257872705249,
      0.582123604103039,
      0.472763507368147,
      0.708415176958952,
      0.4666042603007,
      0.420547489968193,
      0.483832994007716,
      0.634578233280668,
      0.566339472659463,
      0.481862219752871,
      0.518918217930846,
      0.637890240074017,
      0.608197958174313,
      0.537225952905622,
      0.696385542482328,
      0.615782685133454,
      0.54128301292553,
      0.581342163923189,
      0.518321176718544,
      0.55309418208173,
      0.579207347681384,
      0.67548249345181,
      0.563831308332724,
      0.546345321215969,
      0.542510870451889,
      0.497406135246046,
      0.671819014650192,
      0.376094671120589,
      0.513707139427896,
      0.721174790389488,
      0.552621903502073,
      0.434209097587915,
      0.543458526229722,
      0.600670918186616,
      0.607658041229221,
      0.52533222218007,
      0.398079272103981,
      0.32666291482533,
      0.364693430417851,
      0.426196041581526,
      0.417513478552351,
      0.345841368595786,
      0.438725263290132,
      0.324521901933883,
      0.409427045486974,
      0.418967932305075,
      0.494739298057083,
      0.406241740468963,
      0.356028352835879,
      0.334937103018353,
      0.422459419488859,
      0,
      0,
      0.432016288054832,
      0.334964116407389,
      0.391291365430534,
      0.308095997019905,
      0.338823784105086,
      0.503657594144781,
      0.529947153399539,
      0.479323002677218,
      0.489418621180271,
      0.361444768324028,
      0.400688336602887,
      0.384510364215941,
      0.461092460287804,
      0.499442910743482,
      0.333999785953486,
      0.413518578542253,
      0.337182203267378,
      0.370162927308614,
      0.32092881729574,
      0.350625642082496,
      0.475617721730608,
      0.294659344943036,
      0.392519176976679,
      0.279421741326284,
      0.37082260805058,
      0.386765368576478,
      0.373780112145209,
      0.534810182598047,
      0.508534751431815,
      0.53243160219025,
      0.555708629722388,
      0.438532831408852,
      0.46652720496864,
      0.480473766716029,
      0.423898885368465,
      0.543835946346881,
      0.539684396161035,
      0.601680115744496,
      0.440602022207488,
      0.509577054215962,
      0.500829345272776,
      0.480646534185234,
      0.617672152021354,
      0.481217569824807,
      0.62131125545061,
      0.446201784798295,
      0.515075591020259,
      0.461243006498171,
      0.49463073254658,
      0.539304603295909,
      0.463749258417456,
      0.658934018069506,
      0.510996188935043,
      0.44407943258432,
      0.42863372722216,
      0.426882266303792,
      0.556656853078607,
      0.455917815914492,
      0.613474834258938,
      0.462932632058409,
      0.481581182776754,
      0.564348503105799,
      0.431124181122716,
      0.448481566469319,
      0.535644694773419,
      0.524433766646706,
      0.530320910384275,
      0.533824886988185,
      0.39380939825203,
      0.50354710398522,
      0.471306909376538,
      0.43602896431851,
      0.548308705446155,
      0.574594454468792,
      0.420691693369824,
      0.372491827670263,
      0.627546390486141,
      0.611389601029553,
      0.452546829823455,
      0.459427327660764,
      0.625700744067267,
      0.469130796945375,
      0.332103380126805,
      0.571817858602792,
      0.605698766630981,
      0.431210672399352,
      0.451358893019298,
      0.429156202970388,
      0.394863150845366,
      0.532736620576353,
      0.637478390070639,
      0.599584947695282,
      0.533753901961002,
      0.471877346371018,
      0.47316631840035,
      0.50328790855114,
      0.515109840876022,
      0.643028757703349,
      0.649926772708092,
      0.54530088458492,
      0.498992834806384,
      0.527887907388093,
      0.423816063345933,
      0.472626340707509,
      0.706606970669735,
      0.466834026135287,
      0.386735928626789,
      0.455886808610924,
      0.405388303286684,
      0.307975969714228,
      0.341285854760205,
      0.58040146727274,
      0.420661909726608,
      0.460125241311572,
      0.483469048355984,
      0.475497981501955,
      0.439028386734851,
      0.369056501014376,
      0.479173525280061,
      0.429444055771096,
      0.463230406022743,
      0.49081900128099,
      0.404032999562527,
      0.401100365224019,
      0.292313110191585,
      0.381280868842847,
      0.459976326687875,
      0.450836288588264,
      0.426763355701295,
      0.684159893322195,
      0.602664815190414,
      0.437561056825317,
      0.408904898271034,
      0.503887066244765,
      0.507676587474738,
      0.502216232446377,
      0.571959657958671,
      0.385569759028158,
      0.414550106397738,
      0.537812385368454,
      0.47892160633574,
      0.491487545553106,
      0.507848409716694,
      0.627534253758764,
      0.591375229949178,
      0.499553853182,
      0.595142475857269,
      0.622431018241808,
      0.49712644455745,
      0.485935125537262,
      0.662399508445872,
      0.620906181320323,
      0.511450187825029,
      0.521133513858155,
      0.411226846912474,
      0.555903192093927,
      0.419282940073045,
      0.665317255679541,
      0.646866017577669,
      0.523902285082603,
      0.54202706926916,
      0.577201491603765,
      0.603631598423754,
      0.338174956331231,
      0.606613782530179,
      0.678396538510565,
      0.590320136600166,
      0.430942028115464,
      0.489439237731165,
      0.590005743501773,
      0.543305728909436,
      0.475104773878748,
      0.693904182275581,
      0.611652097744161,
      0.523234255875464,
      0.577130148800923,
      0.588636844597006,
      0.383978516834117,
      0.418300542760246,
      0.62656177947043,
      0.671382491285277,
      0.483903365991948,
      0.542205906597234,
      0.534978222593978,
      0.536756217470206,
      0.53595776679782,
      0.472643030345232,
      0.611449754586632,
      0.596680073839426,
      0.567836996048526,
      0.688955830421023,
      0.420821748462579,
      0.421115413204894,
      0.652708296203933,
      0.545447174076184,
      0.500309503772175,
      0.670714093038314,
      0.477253503660049,
      0.510997772556185,
      0.586945445236715,
      0.432541149105212,
      0.356551898625732,
      0.418768289847213,
      0.664639216574077,
      0.551756521934458,
      0.417105937695112,
      0.446651351723759,
      0.362368676267015,
      0.399949196417417,
      0.408137985963766,
      0.630949317964258,
      0.473258255311438,
      0.395060993775991,
      0.44760555546172,
      0.463838877607713,
      0.362054153619152,
      0.350049406214872,
      0.508846684228423,
      0.610251918320536,
      0.367696075920942,
      0.381593419735389,
      0.516925298448128,
      0.384515278554394,
      0.389092111079912,
      0.438492647530103,
      0.449598566692064,
      0.516029430909159,
      0.634480018084251,
      0.475538983099539,
      0.448849702533173,
      0.215310124362872,
      0.418408434791117,
      0.593136249087467,
      0.469046895133278,
      0.438172935022653,
      0.472525165002954,
      0.444020462154323,
      0.416713691979007,
      0.396510697104496,
      0.39664316708838,
      0.51150020381973,
      0.524656061219977,
      0.560519970431207,
      0.43238214512683,
      0.445740377487668,
      0.378788460661216,
      0.517028876055768,
      0.446225927966679,
      0.499119953383451,
      0.630263148108734,
      0.376709140615545,
      0.45178342688114,
      0.503836408121273,
      0.347709480050255,
      0.495888870242635,
      0.571596477855343,
      0.675865160263456,
      0.497649269489024,
      0.52948252834591,
      0.494780630493222,
      0.488460478013378,
      0.482634334070567,
      0.417028455425875,
      0.643817859068833,
      0.528740569003315,
      0.591952976892784,
      0.413728397628488,
      0.629588618218202,
      0.511245109688659,
      0.510805139747955,
      0.490446513863776,
      0.735994646999686,
      0.489356390478562,
      0.436964767486645,
      0.48902083160172,
      0.506688836176428,
      0.390935905461933,
      0.52018318686058,
      0.437923191174077,
      0.505062509288734,
      0.397189773495769,
      0.738354317096002,
      0.620622498040074,
      0.52050064714847,
      0.385998213288001,
      0.704275861101567,
      0.547995467532212,
      0.533152122791238,
      0.529323733835663,
      0.563654373027524,
      0.516790067667697,
      0.379486455597011,
      0.508254831095445,
      0.620533191448017,
      0.413438565529939,
      0.622121854805086,
      0.640103575071057,
      0.591373426524993,
      0.630307661684346,
      0.655209256440079,
      0.512880734489795,
      0.48518636263732,
      0.644990534634054,
      0.706174241843444,
      0.452581301212523,
      0.468688114212602,
      0.529370411147798,
      0.401941471432107,
      0.466530369835899,
      0.652541390700786,
      0.496943751255261,
      0.547847745875888,
      0.547350338823823,
      0.535886543802831,
      0.634257897865567,
      0.614398473489498,
      0.621307797938469,
      0.680179298376734,
      0.509907974541824,
      0.495868429255801,
      0.658133038163316,
      0.586247136202484,
      0.365031309079841,
      0.588344527634205,
      0.558061738050011,
      0.470069333988678,
      0.643435403578508,
      0.579917539683774,
      0.603823570929281,
      0.613805781384407,
      0.598358003854779,
      0.743773022163837,
      0.508792706948866,
      0.425409200090189,
      0.616369966106947,
      0.585129162435657,
      0.367950479450754,
      0.571640425898498,
      0.395516913801904,
      0.477068091281828,
      0.503713667809865,
      0.561526233086341,
      0.603412541077597,
      0.547370885537936,
      0.588299130208803,
      0.576926829634979,
      0.546326039600108,
      0.499927219548873,
      0.626723034206432,
      0.612890683413207,
      0.488633030968539,
      0.503558572350991,
      0.49382953154032,
      0.543386021252923,
      0.449887661379865,
      0.640915167901144,
      0.537335691709624,
      0.577354707506683,
      0.553771670941393,
      0.598978023197652,
      0.534853192514716,
      0.393704719845437,
      0.671683406021642,
      0.659297622955806,
      0.566356135918531,
      0.425761326723065,
      0.493945744205791,
      0.609914895162099,
      0.382716242172115,
      0.476785012297455,
      0.5563906179769,
      0.465180667286647,
      0.499784813969993,
      0.359271477773171,
      0.539665043856902,
      0.330207610104817,
      0.445946253860332,
      0.421981059509333,
      0.620999259770022,
      0.543910920039533,
      0.414201737413577,
      0.502597128697115,
      0.369375398603383,
      0.432789914503689,
      0.388036780505337,
      0.414071757361258,
      0.446258617656157,
      0.337994429749157,
      0.445080473777817,
      0.457026956309413,
      0.315867174626723,
      0.388894939815862,
      0.389689115440356,
      0.462710013518613,
      0.435295586154281,
      0.540957958069717,
      0.499075741193687,
      0.519779785566251,
      0.613532420548938,
      0.500958653473323,
      0.514494204052192,
      0.646411696105922,
      0.565800428809029,
      0.477700522859361,
      0.508496023146563,
      0.543121877087823,
      0.483215778846619,
      0.575261209948735,
      0.687137123349177,
      0.536822030247556,
      0.621997883603391,
      0.541555179629035,
      0.503626595477533,
      0.45076596735176,
      0.494434381298443,
      0.660245652154404,
      0.464461014281474,
      0.439645771994353,
      0.403388891928396,
      0.489496311318822,
      0.500158253431385,
      0.504422433854823,
      0.504064164129638,
      0.466259482324208,
      0.4928306407287,
      0.613611955148474,
      0.592190362085733,
      0.60754567366452,
      0.619222787376067,
      0.634184614230062,
      0.750096093410798,
      0.549097241306645,
      0.454208964997892,
      0.626976610034517,
      0.58242137301008,
      0.417407499572547,
      0.61578973133752,
      0.443101358565619,
      0.392335466594945,
      0.521235793380851,
      0.504248259158257,
      0.548360924929009,
      0.580668687973226,
      0.636188414088812,
      0.592920256726257,
      0.510080289765102,
      0.532144446906519,
      0.644215514274234,
      0.619720464377459,
      0.471662033410293,
      0.447293176876852,
      0.425144266033076,
      0.473729369051866,
      0.460972410121506,
      0.639833458349783,
      0.563684719126008,
      0.55511920521243,
      0.572615585402919,
      0.603547965276732,
      0.496421923077919,
      0.474370074761761,
      0.66285917663341,
      0.608497506295449,
      0.542710690416776,
      0.508019477615605,
      0.446265359579835,
      0.56353986245364,
      0.439253351428954,
      0.636550640974848,
      0.644920533759151,
      0.516105722113355,
      0.570186965944481,
      0.554073838718946,
      0.571146455490666,
      0.337309213558862,
      0.511963695303891,
      0.669933848779699,
      0.572213569336637,
      0.430330297415978,
      0.456034365494859,
      0.604171988968279,
      0.485358318867496,
      0.420625256819869,
      0.39595577556101,
      0.287164821269393,
      0.411471834227333,
      0.393249174393561,
      0.411699565593737,
      0.376499113911748,
      0.472856990678115,
      0.354151165723764,
      0.395109853960177,
      0.441728041541728,
      0.520376465461178,
      0.464093402262906,
      0.358236443129166,
      0.322004198635868,
      0.378704145806119,
      0,
      0,
      0.309013893320306,
      0.327968539760237,
      0.344268683749592,
      0.211906502516197,
      0.353467349846112,
      0.38228736283102,
      0.341412428298945,
      0.281271129714114,
      0.316263359705155,
      0.253010396180403,
      0.326306679400898,
      0.366023773018216,
      0.626770255374278,
      0.673190980303394,
      0.456000161956672,
      0.589161164777996,
      0.52153557676574,
      0.464819678201314,
      0.593775557002815,
      0.557636623031807,
      0.608687782507012,
      0.474392447878365,
      0.521151609808119,
      0.53568204561649,
      0.485900771762818,
      0.535619110693019,
      0.480471609580042,
      0.574084031985294,
      0.536525853478022,
      0.453493023032329,
      0.510083108803124,
      0.412631139306392,
      0.558443209555385,
      0.569162313590586,
      0.493126340924147,
      0.54731864364975,
      0.451852129929447,
      0.581873989586799,
      0.353855110616188,
      0.46373837990581,
      0.561294789252125,
      0.523058225164849,
      0.624358724632232,
      0.512185475919285,
      0.636358721385214,
      0.516512154082329,
      0.615988021975492,
      0.480729289658932,
      0.618784031034991,
      0.579238456629815,
      0.533264775359333,
      0.654277090538724,
      0.517736457334306,
      0.572295047071786,
      0.465318719668776,
      0.435404926455182,
      0.587324524966688,
      0.474568363222749,
      0.633060677043794,
      0.415272438586483,
      0.672116106702249,
      0.628962290711157,
      0.491055284172834,
      0.476007810222932,
      0.504307127656157,
      0.489398383852692,
      0.427511552746073,
      0.467497041691428,
      0.365204448914354,
      0.628092242022114,
      0.563070730340319,
      0.465500254220179,
      0.558316843255702,
      0.564433856963014,
      0.595398636365477,
      0.550641865121445,
      0.662637671754589,
      0.664990940836399,
      0.477407113781802,
      0.457391091431113,
      0.568427135396521,
      0.592426305847518,
      0.385631359418415,
      0.568534902928592,
      0.669339809957639,
      0.385762454237978,
      0.420550178253654,
      0.491317790042619,
      0.56598427744019,
      0.394323236791295,
      0.626381441718076,
      0.617162720562182,
      0.503455391233507,
      0.451650615731891,
      0.504368568949622,
      0.472511700426859,
      0.535304028308594,
      0.655038947401692,
      0.695753829609782,
      0.521418217180314,
      0.548169771296873,
      0.473045895825474,
      0.437741014503088,
      0.52409451753161,
      0.662559288095959,
      0.488995717793401,
      0.541226029255736,
      0.672746440447384,
      0.442639169282285,
      0.475331731387861,
      0.457086944382468,
      0.602997849892252,
      0.565103215492132,
      0.366694479441902,
      0.435429621502917,
      0.44054862205322,
      0.470197964852097,
      0.366734418419384,
      0.528224612081295,
      0.526485869395173,
      0.481502863477642,
      0.41953004001501,
      0.434138115551231,
      0.418877881997455,
      0.318296155011779,
      0.57353731368337,
      0.53628930083114,
      0.570655372000661,
      0.544024702030702,
      0.559164294911873,
      0.597259657024246,
      0.436704917195716,
      0.525934561517553,
      0.530238772100951,
      0.520397347249324,
      0.510904285425105,
      0.582161611071893,
      0.512037897720066,
      0.498281658707341,
      0.531024176410194,
      0.507606193773757,
      0.517095932401755,
      0.53599760838162,
      0.622185270709564,
      0.589585142792213,
      0.506004107210211,
      0.550821531349334,
      0.559556743224721,
      0.574968780636743,
      0.534414860055274,
      0.646710468315963,
      0.73079686920156,
      0.51924104736824,
      0.596619239718197,
      0.523019469610706,
      0.634715513674161,
      0.458028173653312,
      0.648834382163652,
      0.673465168509477,
      0.559873368119424,
      0.590876883980922,
      0.522481886307521,
      0.656318375128032,
      0.537054517541984,
      0.636094589132354,
      0.720304318589686,
      0.660647949329935,
      0.536678303356996,
      0.579441330717371,
      0.580651072206836,
      0.481312255789746,
      0.481249752687079,
      0.695597611290415,
      0.641242559173186,
      0.498275419904851,
      0.597605656393737,
      0.610630535143823,
      0.397565544431826,
      0.446616948442879,
      0.704046493800776,
      0.613131148820927,
      0.544658012660238,
      0.602676438242925,
      0.626612143808848,
      0.528638346251586,
      0.67075967942796,
      0.476650551371144,
      0.639601703814451,
      0.643292021660662,
      0.553393904783698,
      0.601618545914542,
      0.471308507749327,
      0.41680285425146,
      0.706660446886829,
      0.613254899860042,
      0.583432850823964,
      0.641500621512608,
      0.566533018744629,
      0.434753386384888,
      0.487772831596368,
      0.399719152525585,
      0.350267598650103,
      0.401780343840313,
      0.622832348800575,
      0.605813162481003,
      0.3392256354255,
      0.458116916211275,
      0.394966969513581,
      0.385051298509804,
      0.443568645427022,
      0.664572159826388,
      0.625725998346813,
      0.439178193204093,
      0.551433142490027,
      0.475906223510511,
      0.452580470059275,
      0.492502446696074,
      0.542837666948683,
      0.595313485989467,
      0.513180727117044,
      0.530903406950122,
      0.576877955441059,
      0.447203227375884,
      0.473337541981137,
      0.451072564262348,
      0.54584447076947,
      0.456161294728945,
      0.475126927001068,
      0.389090076479671,
      0.349918511861377,
      0.248217094571562,
      0.462805501640874,
      0.612097670656593,
      0.427452578546152,
      0.498791338226339,
      0.508082907120732,
      0.498461778908558,
      0.40142683951065,
      0.539817769129697,
      0.532755223483533,
      0.52683961707151,
      0.549439918502793,
      0.610083814033246,
      0.557510306957066,
      0.531582460003531,
      0.49237547593982,
      0.513039118050803,
      0.462471320049833,
      0.513728636356808,
      0.604358136511554,
      0.576777906130553,
      0.502052621877727,
      0.478264546509321,
      0.399634887999823,
      0.522249391140066,
      0.476372202234139,
      0.665675804599242,
      0.451649482275303,
      0.550434918204404,
      0.493946905247734,
      0.465866285223526,
      0.466400333465587,
      0.413132004045861,
      0.604853751365285,
      0.505968154609395,
      0.586558565018653,
      0.477680583576929,
      0.598093931642724,
      0.557342577579894,
      0.568003632134871,
      0.526628884787989,
      0.662797463003801,
      0.590061695787144,
      0.571388976213904,
      0.57593573757715,
      0.526539263442505,
      0.534450576989438,
      0.490556834022868,
      0.522987799212052,
      0.553266665479919,
      0.47250236124851,
      0.732604673161476,
      0.672845991579584,
      0.445883649219872,
      0.379174308270958,
      0.659300053536634,
      0.487728654873323,
      0.52052604793429,
      0.566512619890999,
      0.572104961586276,
      0.499078015817383,
      0.400248019374458,
      0.420462226798504,
      0.630149200338397,
      0.45406075097701,
      0.663530329995968,
      0.661676287593096,
      0.586835296916295,
      0.682485468304093,
      0.560474328478935,
      0.55688242078288,
      0.582449783796521,
      0.671557126182199,
      0.664204603092584,
      0.618963774486542,
      0.405719639904238,
      0.575173275190987,
      0.541473573906885,
      0.526861548382317,
      0.647813253622816,
      0.583214074533628,
      0.567735620678446,
      0.574738936754152,
      0.501649162421759,
      0.596085912418899,
      0.619549391889827,
      0.676798947961483,
      0.574186221496849,
      0.554372330015829,
      0.378198367070005,
      0.68661329776692,
      0.724271492825125,
      0.341710902980149,
      0.620476082794422,
      0.616105017884807,
      0.496001767497715,
      0.630787924816195,
      0.575391700829196,
      0.533386830799287,
      0.602871245326676,
      0.598356297469448,
      0.682776876764731,
      0.530576455501501,
      0.503297333565221,
      0.635995341153033,
      0.726890680793641,
      0.458309181186058,
      0.480468123239373,
      0.508150608252213,
      0.497755517604322,
      0.463692306906996,
      0.561776651698464,
      0.619850096409697,
      0.493825359963137,
      0.581249329902778,
      0.541366363534915,
      0.572808343040136,
      0.46159336063751,
      0.624861345921875,
      0.744385459744449,
      0.549042568691874,
      0.556065806067907,
      0.583542460545624,
      0.625219346052185,
      0.509544237848955,
      0.612049029598412,
      0.558596455153387,
      0.58435911587272,
      0.528828207560783,
      0.56320715993761,
      0.548756635011603,
      0.552721594394729,
      0.661199219674009,
      0.764979860710343,
      0.641911243414365,
      0.446867536806838,
      0.514683141062992,
      0.598378189576444,
      0.370405713575557,
      0.406726291223556,
      0.356592051055992,
      0.3266698896164,
      0.536200232360646,
      0.332821737196342,
      0.377478849152183,
      0.263218406270947,
      0.402856615720343,
      0.426317360413868,
      0.588670005214584,
      0.605854719019321,
      0.629773907891635,
      0.590724032656032,
      0.428600801019308,
      0.507031139075406,
      0.505746063875907,
      0.515975390013512,
      0.595684078211624,
      0.557097033180349,
      0.477003549849098,
      0.478672292300696,
      0.502303007399485,
      0.511278028265545,
      0.550146532848404,
      0.484227695482026,
      0.500167485620673,
      0.582851286472763,
      0.470597940124299,
      0.66140584907116,
      0.604739696892313,
      0.54063856114781,
      0.430673188079564,
      0.622082414787931,
      0.5937404771892,
      0.441856381600332,
      0.500645059603777,
      0.521293000845653,
      0.511308422717872,
      0.58186671513671,
      0.665626434017896,
      0.620467269275136,
      0.501374889922237,
      0.580393029357746,
      0.559194707341732,
      0.519817014010352,
      0.532746994105556,
      0.672915463281489,
      0.490341553281525,
      0.550250556788414,
      0.544208839404042,
      0.436733056192895,
      0.494237718755014,
      0.488410455492952,
      0.537055006638032,
      0.597580177224928,
      0.464498429695406,
      0.59467169217233,
      0.478875415178157,
      0.595552767173093,
      0.560535559076099,
      0.624963225936316,
      0.657807929596046,
      0.537356058130671,
      0.397179553322492,
      0.638212989172051,
      0.731340114129627,
      0.406706055987653,
      0.543228285879814,
      0.581603042515414,
      0.462558588004494,
      0.553442295822713,
      0.558941439009427,
      0.589182924636143,
      0.570293018114816,
      0.571881297816442,
      0.613000850480756,
      0.57529209944416,
      0.543858695839678,
      0.662155100506096,
      0.74374128981915,
      0.539405331609185,
      0.483169227512234,
      0.553832795574627,
      0.528459966195076,
      0.472024446719221,
      0.62773631213869,
      0.539071519278753,
      0.566794860118998,
      0.518383067805078,
      0.59158116045743,
      0.556433851430942,
      0.519613410885098,
      0.641819409632695,
      0.724973533360871,
      0.54726509382023,
      0.566939289252431,
      0.524921336050844,
      0.649836357702329,
      0.422170504319134,
      0.661880779580778,
      0.678915872043508,
      0.553733721007034,
      0.60505255726966,
      0.488502083175426,
      0.670140475295805,
      0.514882377007351,
      0.541241403905647,
      0.696123457223362,
      0.631935850177893,
      0.541676519580609,
      0.558880309334324,
      0.559116639320876,
      0.481994708139557,
      0.486068450795838,
      0.454360139727921,
      0.371501289939515,
      0.489239587004755,
      0.441418214110816,
      0.401075426020108,
      0.399808849027814,
      0.482856438460139,
      0.385885872137315,
      0.385232665490519,
      0.471330120692767,
      0.559449980689875,
      0.476997612938167,
      0.425664434064966,
      0.367526443454007,
      0.461135643808895,
      0,
      0,
      0.447597724926357,
      0.390603220592472,
      0.360884379647999,
      0.325092644067941,
      0.356143753679221,
      0.460831276695158,
      0.35001126583813,
      0.475220367073637,
      0.415993964788606,
      0.306596301233889,
      0.343209352190172,
      0.450265177226656,
      0.555663052987476,
      0.635028029881016,
      0.495846669511815,
      0.666848544904696,
      0.552856405456237,
      0.531720054833494,
      0.654211781889402,
      0.644820366828856,
      0.652874196455592,
      0.560308803927721,
      0.607392506112417,
      0.578831577312421,
      0.55974543508401,
      0.588794325952359,
      0.55421935938561,
      0.608872725544444,
      0.529425579415881,
      0.414881562222955,
      0.556905087103085,
      0.412248920072896,
      0.684144640773549,
      0.546532407937137,
      0.482331418868804,
      0.523004050213353,
      0.439716560580089,
      0.622975575553376,
      0.43527645943796,
      0.486211997366478,
      0.588590145894371,
      0.486149392620758,
      0.60680092804865,
      0.575930558811499,
      0.739521149421533,
      0.603176798910567,
      0.649111083249168,
      0.531970312382045,
      0.645048633714234,
      0.544548735432464,
      0.606417683567668,
      0.722081497636353,
      0.591367626721833,
      0.611152686902471,
      0.512146014576545,
      0.462638800930731,
      0.578405506014086,
      0.465088446796871,
      0.619242569809332,
      0.404550315552877,
      0.657348008254113,
      0.606396777747025,
      0.517493639704856,
      0.483239286569491,
      0.475851692354804,
      0.454056557617747,
      0.436808198563214,
      0.596825775482808,
      0.371961627474939,
      0.548956366148628,
      0.519951205662703,
      0.453565110445264,
      0.607408835962386,
      0.570554868389176,
      0.659959659131557,
      0.643628360142145,
      0.632425546254463,
      0.601192290700918,
      0.519076477142137,
      0.492057799871296,
      0.570445509152901,
      0.684847708174303,
      0.452349241549016,
      0.627538473150193,
      0.727812077575361,
      0.360066747817526,
      0.408604184870558,
      0.472169199321352,
      0.618275162515686,
      0.446263962334328,
      0.680347944768715,
      0.641539108322186,
      0.49540542907849,
      0.456653086007998,
      0.466471551637897,
      0.434043741191684,
      0.638826031201988,
      0.659715416605218,
      0.692863779389462,
      0.56518626897923,
      0.576597687895925,
      0.497866581021728,
      0.481683877243202,
      0.621827149538396,
      0.710718941444487,
      0.538580471887768,
      0.597398961070099,
      0.706029508928192,
      0.46174040267274,
      0.523205293587568,
      0.522622423831717,
      0.624055896972308,
      0.621688064006313,
      0.359061879533792,
      0.497782263786686,
      0.44462818935613,
      0.4674599161482,
      0.385027953953961,
      0.550035962447465,
      0.531552047226737,
      0.531597466706012,
      0.446181589452952,
      0.479636500102633,
      0.412688406391731,
      0.41229156474977,
      0.554532122249595,
      0.50763342546226,
      0.625378370537907,
      0.617693516878296,
      0.597541036165619,
      0.608093140719916,
      0.485539403084767,
      0.581416788830849,
      0.592892749693241,
      0.592114283797423,
      0.559539336295619,
      0.602854236913216,
      0.570115273811852,
      0.56539390249594,
      0.545794500314797,
      0.54785119847992,
      0.559917423473669,
      0.51293777218058,
      0.642158091286062,
      0.576415389773635,
      0.565612447445631,
      0.538039044602196,
      0.566026648401123,
      0.599685215188641,
      0.504574388313108,
      0.67099576624387,
      0.692517531840433,
      0.489687824938446,
      0.504731329258353,
      0.52404773505603,
      0.579657244166064,
      0.479207759029867,
      0.648821442192108,
      0.703042212933491,
      0.609182458603325,
      0.620380310680512,
      0.530705733840987,
      0.660064704937375,
      0.624070803360218,
      0.64610710561553,
      0.680716736389177,
      0.678166990808176,
      0.545330881453426,
      0.592180187537607,
      0.573291985571699,
      0.528686234666774,
      0.463694912199062,
      0.65623967663029,
      0.656307758933462,
      0.466347480812472,
      0.654219587965235,
      0.688132001394619,
      0.380091752752372,
      0.457072785206527,
      0.637344447806198,
      0.652664959962177,
      0.554933725371678,
      0.533024536428161,
      0.606419563334991,
      0.624647247803038,
      0.620156874746202,
      0.559239991721542,
      0.611761225215328,
      0.676756286455089,
      0.589758810441291,
      0.568437647902499,
      0.509074083160365,
      0.431593937084698,
      0.638727906654888,
      0.663164818046794,
      0.664606036903326,
      0.67827078731069,
      0.628696925378023,
      0.435318091906672,
      0.463954342713359,
      0.429568376015755,
      0.405597701009192,
      0.432050360905895,
      0.677532076743637,
      0.655738391173941,
      0.420685328339284,
      0.494029475609535,
      0.498672823304124,
      0.312592160705489,
      0.475532572973476,
      0.603489279506004,
      0.583495563443878,
      0.51350605910672,
      0.619477072355689,
      0.532068397239102,
      0.451909874953508,
      0.561934042399275,
      0.577906741929248,
      0.679733313649808,
      0.602691339440777,
      0.562765387206504,
      0.546954903108228,
      0.462529551908204,
      0.476526950047472,
      0.529977738689193,
      0.610307174213679,
      0.471961738121236,
      0.406963822473822,
      0.449218236743222,
      0.434088301590989,
      0.262110047655576,
      0.453602104782973,
      0.702588472984407,
      0.438789484956457,
      0.505770909563689,
      0.515762138935763,
      0.47019957006355,
      0.397656663854761,
      0.441169005480881,
      0.470689762270041,
      0.483213760750503,
      0.612570643147585,
      0.67619275487345,
      0.635497183506902,
      0.558645173739862,
      0.50809441421142,
      0.532682301763655,
      0.533613502800329,
      0.584025610587697,
      0.705443135280992,
      0.609547312420768,
      0.602815465562824,
      0.445184641731597,
      0.421398353037079,
      0.590217351758101,
      0.496996671636823,
      0.696901896601619,
      0.51287433267424,
      0.633503713395724,
      0.587346272895887,
      0.504559327539861,
      0.483162857796377,
      0.433511511951835,
      0.576501024050941,
      0.537471905339388,
      0.618473950163681,
      0.480576329742991,
      0.481449962638471,
      0.51090616007701,
      0.646111688797737,
      0.568151624711061,
      0.599778390261357,
      0.651258617424091,
      0.65878524193902,
      0.603664724500818,
      0.546465824681428,
      0.624944963838815,
      0.52618969268583,
      0.591089482171496,
      0.617155593627189,
      0.530117893549225,
      0.681756820764185,
      0.693677076978054,
      0.441440812138723,
      0.348104623155562,
      0.614781404051081,
      0.509569620328287,
      0.513102262465184,
      0.585889042973828,
      0.601853883246154,
      0.489387372251379,
      0.41374867847805,
      0.40549655000331,
      0.613950735887374,
      0.428871146775441,
      0.652083940220997,
      0.637868091668282,
      0.611389765487381,
      0.560874439866397,
      0.57914350422029,
      0.600672738230417,
      0.63844861390988,
      0.722725454064203,
      0.643195273045351,
      0.670509221042167,
      0.535458401156891,
      0.482076738614445,
      0.61046756938843,
      0.538859198704316,
      0.708178848133381,
      0.63919278306043,
      0.466377126719418,
      0.602062540954521,
      0.559054135867577,
      0.568303543073026,
      0.59358365090964,
      0.590059946515637,
      0.559248558704395,
      0.580432633166015,
      0.443888875800228,
      0.611087740605238,
      0.674627523366031,
      0.405258527779585,
      0.583726188440896,
      0.601173943893679,
      0.496873478495362,
      0.640613460638138,
      0.608047445548929,
      0.551129399004096,
      0.626860284376206,
      0.595484225286832,
      0.606310763126973,
      0.575612013568463,
      0.583577745756091,
      0.531629426488009,
      0.698039933539239,
      0.490935050295418,
      0.485152623827491,
      0.573910528692731,
      0.473722276412717,
      0.499590701297151,
      0.598789642010463,
      0.639588457165326,
      0.523990763767238,
      0.561454652321192,
      0.549776316278381,
      0.632637127064141,
      0.461021270404831,
      0.700865579713847,
      0.690929166172299,
      0.513436885461315,
      0.525982561856611,
      0.561945607487754,
      0.544568193902043,
      0.563989716609606,
      0.704402411038694,
      0.607356114395349,
      0.636868003475355,
      0.518813047774676,
      0.523058213317966,
      0.560624459584117,
      0.64167058939357,
      0.710423329874877,
      0.715866937914699,
      0.649204631105525,
      0.460256673541377,
      0.587793826278686,
      0.619009893675661,
      0.382206557743433,
      0.423724861387985,
      0.477776842633828,
      0.362834875537542,
      0.598736352091874,
      0.403159325215646,
      0.371117018496955,
      0.323275218177665,
      0.400398771302564,
      0.469444222937363,
      0.530288089786982,
      0.528361035652935,
      0.537491466267744,
      0.463039759948896,
      0.437492326594902,
      0.575237433729625,
      0.601968331162631,
      0.566228950754303,
      0.677617769435882,
      0.611893503082879,
      0.491968880673578,
      0.500564291327111,
      0.515149682892168,
      0.511522462411211,
      0.588266734265029,
      0.507934837825654,
      0.61009283531679,
      0.657132556912635,
      0.461402092355724,
      0.575206782519999,
      0.63974598774736,
      0.495652333714753,
      0.555428490004361,
      0.706281136921776,
      0.586827825767396,
      0.490229401146488,
      0.480692464030217,
      0.534183607815844,
      0.476141504722929,
      0.540645088054696,
      0.654740215401659,
      0.629529502116709,
      0.557564329516241,
      0.60938141090676,
      0.58736307658993,
      0.542357828030277,
      0.603636297552843,
      0.669156529984687,
      0.562569073127294,
      0.615591663899689,
      0.578164647928789,
      0.488177013049689,
      0.512224634821822,
      0.508391890392498,
      0.545271713202825,
      0.652344939467298,
      0.379292471145931,
      0.536484763751667,
      0.545455309868616,
      0.593678405841251,
      0.572680646784487,
      0.596312103571111,
      0.531457713078307,
      0.540475500638312,
      0.44035895479492,
      0.529634217494367,
      0.711351591982223,
      0.414240317815752,
      0.484909132543495,
      0.554796868525721,
      0.431200408799438,
      0.608241237113376,
      0.596375276624264,
      0.60361595242316,
      0.611252223183531,
      0.576851220392195,
      0.616122981935107,
      0.639877935770631,
      0.603271330627531,
      0.644898927540075,
      0.698266492303253,
      0.568711859977133,
      0.499712761081655,
      0.623642680365534,
      0.574578135710545,
      0.460568968180569,
      0.699729459328236,
      0.509555383140598,
      0.627940644541726,
      0.496494100685144,
      0.538122180682385,
      0.568394440013627,
      0.515758535994115,
      0.650841033992683,
      0.687434785565769,
      0.508450664836725,
      0.481365162481069,
      0.537603202214734,
      0.58528310572518,
      0.472993964276724,
      0.625740391172716,
      0.705487478848472,
      0.607914319889171,
      0.623968791862308,
      0.517725705082708,
      0.67102982839289,
      0.599341530995422,
      0.616807057014933,
      0.660854811410404,
      0.635820201758208,
      0.580554107972246,
      0.592506402946627,
      0.563325270162125,
      0.464451954457162,
      0.486913596330159,
      0.42852910225162,
      0.380209927762901,
      0.4682600964452,
      0.461443885763923,
      0.417125667817956,
      0.368728931050984,
      0.490598537954488,
      0.407203171827325,
      0.385058627395184,
      0.486324340855894,
      0.571875650199247,
      0.516499212528681,
      0.415356763929102,
      0.334712690461175,
      0.489198767940248,
      0,
      0,
      0.567468729246375,
      0.412016056115826,
      0.494046388844227,
      0.517018362858441,
      0.632047883757648,
      0.635071341802246,
      0.486800501433915,
      0.62108231880812,
      0.525874822704808,
      0.496553660470047,
      0.574674814227904,
      0.606715251768136,
      0.548620104439869,
      0.509103730693145,
      0.493975537199177,
      0.518537237622707,
      0.478598149867413,
      0.504920441791966,
      0.431949334201831,
      0.46329437987015,
      0.569951475864518,
      0.457930397341454,
      0.547417536437563,
      0.516387402147037,
      0.505329979726425,
      0.443810829951812,
      0.452695828456298,
      0.4885497551045,
      0.516031201433394,
      0.565468064359875,
      0.5887733359382,
      0.708237138081096,
      0.646788899998629,
      0.625695889968915,
      0.581053536561252,
      0.561933691669166,
      0.617621743250569,
      0.655155826780958,
      0.564014963444598,
      0.52810862246813,
      0.626487421525766,
      0.574486291348679,
      0.637127170702401,
      0.537173646054781,
      0.705603715764854,
      0.509509906251484,
      0.524760732432177,
      0.440837488477756,
      0.643395728485312,
      0.553117792631783,
      0.519426228448448,
      0.670609661604254,
      0.470758758984471,
      0.5304619700333,
      0.533295516323237,
      0.435435758736806,
      0.494626663051655,
      0.658877904218953,
      0.62642277594025,
      0.533065641894679,
      0.635189245516007,
      0.655949531265403,
      0.50440203439795,
      0.541263043482338,
      0.56953657480653,
      0.547827016637349,
      0.524185321742543,
      0.588007355721983,
      0.538135976264354,
      0.508913741652507,
      0.546247009307636,
      0.468344594993958,
      0.564095882855135,
      0.540903278532826,
      0.582623321577105,
      0.494418688423216,
      0.567099271345363,
      0.610985524102603,
      0.463480836053085,
      0.382463472670748,
      0.575141679219606,
      0.692188465983405,
      0.505907400011887,
      0.616781481121041,
      0.631144447032245,
      0.434963830174155,
      0.405436064297633,
      0.537833735972432,
      0.599599352758768,
      0.560941715295285,
      0.668223715455705,
      0.577472396201073,
      0.496847517475186,
      0.473480790371127,
      0.584297275745159,
      0.506078926612563,
      0.700036314291485,
      0.665149432269493,
      0.681889405207502,
      0.494341747345599,
      0.446170220897574,
      0.536009010847705,
      0.377974189116395,
      0.629598091485768,
      0.680621790968459,
      0.560366250838552,
      0.521102478916664,
      0.595813263762855,
      0.464166057942451,
      0.367240969621778,
      0.40806856849889,
      0.579210715458054,
      0.476798381416366,
      0.435864875101399,
      0.551832549314369,
      0.559086660012243,
      0.499491033945667,
      0.501066255297041,
      0.565348106973009,
      0.528178523433582,
      0.532075820939973,
      0.564264952833228,
      0.640328994628546,
      0.460345302814004,
      0.479569310042517,
      0.55367053917659,
      0.504191160223073,
      0.511244196781866,
      0.487655614182834,
      0.558808104190605,
      0.521776225492387,
      0.415482219055908,
      0.517898794994212,
      0.577297134175227,
      0.503196629681362,
      0.533950364939328,
      0.607768969542726,
      0.599314321695418,
      0.481829111968797,
      0.471231468414808,
      0.412169526917944,
      0.427865192668716,
      0.520367531627673,
      0.656700733920489,
      0.624360934766641,
      0.643459588674061,
      0.54281344461508,
      0.61625940600899,
      0.68408317491857,
      0.576362118082391,
      0.676965249470054,
      0.588168544115442,
      0.638110135826764,
      0.502358734606765,
      0.538014066104875,
      0.538478493907993,
      0.417995120206853,
      0.667134093653298,
      0.64593699883733,
      0.547363500063271,
      0.663249447215723,
      0.513391842039296,
      0.627445029391395,
      0.421130034846661,
      0.619182735802739,
      0.57444244449544,
      0.620902141405082,
      0.493754531024773,
      0.594077632322446,
      0.599448858245363,
      0.562975812202347,
      0.514350648965775,
      0.63514834132605,
      0.628617062834925,
      0.537692883190447,
      0.687196548562659,
      0.636772246913616,
      0.555195653323944,
      0.526748137522336,
      0.657933738549626,
      0.671894329079059,
      0.625157524221541,
      0.552802923260698,
      0.609234946060626,
      0.6377191320257,
      0.566917470806688,
      0.48766128225771,
      0.621845761915564,
      0.621009676324789,
      0.617411267482786,
      0.626961852149902,
      0.446959856346858,
      0.499717238469591,
      0.572137921534529,
      0.589976434387957,
      0.641648157909346,
      0.672354146510432,
      0.561972196291967,
      0.469917151320817,
      0.490193579329599,
      0.533940436176377,
      0.490560583608158,
      0.53832803553255,
      0.678178606446425,
      0.634542540653729,
      0.447026379616601,
      0.476942098714499,
      0.495267438636659,
      0.491604319320567,
      0.496322089829474,
      0.561788320974355,
      0.483113226321296,
      0.513794147991807,
      0.527327243161807,
      0.481621529608927,
      0.366267509463612,
      0.470043220819008,
      0.537166035337905,
      0.665692721986611,
      0.515512793084937,
      0.491871936615435,
      0.526384712195346,
      0.389940485916976,
      0.393824111250329,
      0.455318735909039,
      0.503547147835344,
      0.515836414608949,
      0.544127963733062,
      0.523112020254962,
      0.44658147291258,
      0.428656498039269,
      0.548786872320275,
      0.742042269776876,
      0.510356093572671,
      0.56022088192822,
      0.584337478609811,
      0.471078806639035,
      0.399661835349871,
      0.444652300481039,
      0.414172883558292,
      0.502914569365984,
      0.53559903099968,
      0.649713317550387,
      0.56267991514693,
      0.420129480896001,
      0.51212475613441,
      0.481791055151846,
      0.657094596253256,
      0.617337981187455,
      0.712326562552725,
      0.483145302347133,
      0.677708028788428,
      0.4065746981955,
      0.397681315118058,
      0.458245171037835,
      0.523474761633775,
      0.663683445622007,
      0.607474919747393,
      0.699012793205983,
      0.723102807117419,
      0.582030001043402,
      0.50835329780895,
      0.558366338706784,
      0.642080337750618,
      0.527313948007237,
      0.705011597971748,
      0.598810078562109,
      0.588330242968327,
      0.577481577505353,
      0.68838828608184,
      0.555312237809905,
      0.48111765182513,
      0.611643276759253,
      0.778604184893347,
      0.581627522361342,
      0.509150141261706,
      0.647354449771736,
      0.519137814019108,
      0.487965834474882,
      0.499606957996979,
      0.495489845669784,
      0.578077361308119,
      0.658016873700381,
      0.452845708337738,
      0.445045838461868,
      0.553753325538671,
      0.576234712465114,
      0.671411342171736,
      0.623372512004566,
      0.600765510126104,
      0.478901743585863,
      0.52593016655887,
      0.548092312070456,
      0.663008842244654,
      0.506396859875264,
      0.663850938802667,
      0.580476764421272,
      0.575154420009544,
      0.5823739174602,
      0.463459674276058,
      0.49625374338612,
      0.537591932617248,
      0.662557961854791,
      0.614294041535716,
      0.599779435302755,
      0.598810310230861,
      0.468723409804127,
      0.433538211341562,
      0.499405506470787,
      0.668668069792538,
      0.58625727261686,
      0.500030161626011,
      0.648272651466172,
      0.649954985023647,
      0.617833262606679,
      0.570544668821109,
      0.606345954798169,
      0.593241027212688,
      0.5792894977634,
      0.562267242659395,
      0.531956284026514,
      0.58398996529416,
      0.505449005195277,
      0.589490159542286,
      0.574712730116112,
      0.453549710070161,
      0.583343834929552,
      0.670967590057367,
      0.544506465237812,
      0.58528706234386,
      0.580454197389454,
      0.618648378970521,
      0.532340601451396,
      0.512156964991419,
      0.515202147480349,
      0.675954652542629,
      0.474984688512819,
      0.525234874725241,
      0.526938080285523,
      0.426561955489311,
      0.5025365407451,
      0.622385232560729,
      0.69808539986806,
      0.533426276449599,
      0.566344711445496,
      0.612533727960151,
      0.670700554350528,
      0.599273417755975,
      0.693151762678943,
      0.58663495725252,
      0.59104334483446,
      0.554178330877363,
      0.532700377537891,
      0.500677877827786,
      0.49625513957338,
      0.667447247163707,
      0.569404467816805,
      0.686606549518357,
      0.481521297618276,
      0.540401877317302,
      0.56355744628388,
      0.462607917057866,
      0.671297345592139,
      0.673258568543437,
      0.633912844803532,
      0.498890514789426,
      0.640332673772354,
      0.580834651702411,
      0.466193022886562,
      0.493923964918641,
      0.543242410606268,
      0.571889220097615,
      0.595614321166269,
      0.492801041958766,
      0.494706277526075,
      0.551560691246074,
      0.561005903655465,
      0.531501288568205,
      0.612510452821785,
      0.582458968348895,
      0.424244834551271,
      0.434571842161758,
      0.397896831972976,
      0.473824306920357,
      0.415234858464279,
      0.466232355851094,
      0.521003184915936,
      0.501484366832719,
      0.439027335128758,
      0.461563022573754,
      0.422197922125531,
      0.390799542634804,
      0.470216323349523,
      0.50188761811047,
      0.626881167439956,
      0.599694435675285,
      0.439295475760045,
      0.46955523632182,
      0.62255585938347,
      0.527707529223827,
      0.675919738260895,
      0.681383758098933,
      0.576998516192968,
      0.513070450266983,
      0.545307640761742,
      0.546657727370984,
      0.491670638773431,
      0.506473975674421,
      0.666479389512384,
      0.556182985421957,
      0.554387549529012,
      0.493864474588981,
      0.470093189107844,
      0.368818881901554,
      0.649203823717676,
      0.584481854275973,
      0.595552125425034,
      0.500054270482029,
      0.557182897602361,
      0.549097381365284,
      0.509348784539865,
      0.50092859495752,
      0.55385582662062,
      0.528747405613642,
      0.428580814900953,
      0.548173094278684,
      0.659918135693871,
      0.529685220351627,
      0.6279100346834,
      0.641998371640906,
      0.631403059338215,
      0.599375342932214,
      0.573067337362337,
      0.474662829303865,
      0.691931192170314,
      0.495902398292059,
      0.512510514763023,
      0.554938912508979,
      0.417048665801536,
      0.513480881931805,
      0.602764353987554,
      0.64823389379205,
      0.533680807877945,
      0.557932656166169,
      0.580886379859802,
      0.654682223286284,
      0.571445852770347,
      0.632904860834457,
      0.606596709560702,
      0.580493094536917,
      0.541506992677687,
      0.492706927003539,
      0.448657992951362,
      0.521843529232837,
      0.685847132117782,
      0.559373006541632,
      0.680406961767521,
      0.545669059029304,
      0.595742284624762,
      0.649971704066292,
      0.584844240115534,
      0.638870829107731,
      0.620873362065452,
      0.632304795432947,
      0.521254407615795,
      0.565349273901361,
      0.560251669293664,
      0.426158383865544,
      0.65904910161142,
      0.656954628484309,
      0.496398628672374,
      0.661851673212123,
      0.517268149637597,
      0.628677868670643,
      0.418218313292596,
      0.577872958382135,
      0.574294698099488,
      0.63613038608622,
      0.525132286244085,
      0.578476669453103,
      0.563252442357298,
      0.46981870547441,
      0.444266341095373,
      0.372002060431708,
      0.364824538086766,
      0.449712976877346,
      0.466509694733365,
      0.427092014569955,
      0.393091782384816,
      0.47820509309605,
      0.420404827364062,
      0.382835829623109,
      0.495576656779219,
      0.590236987176472,
      0.522660469624997,
      0.464239956061011,
      0.374418758502849,
      0.42781016152332,
      0,
      0,
      0.541249358104419,
      0.38036320678905,
      0.448697191711317,
      0.486687283854212,
      0.611988819933496,
      0.60763796024701,
      0.482867836385677,
      0.573399535948509,
      0.437289469373653,
      0.466328299266857,
      0.554157029870935,
      0.58652730484479,
      0.531810899085073,
      0.437352196266719,
      0.411588821290926,
      0.476353533325264,
      0.299619991456799,
      0.41180178449129,
      0.38391761167306,
      0.415965525308942,
      0.533423152388451,
      0.387091300814144,
      0.47370963914192,
      0.35934544522889,
      0.396727954774582,
      0.422084513683586,
      0.389692643221867,
      0.508350779966406,
      0.473685934433979,
      0.67270230863885,
      0.616044680404634,
      0.75197243183045,
      0.530478699041031,
      0.63113737330995,
      0.572168641196699,
      0.625464217669833,
      0.76875936575294,
      0.665541846712973,
      0.586874960987189,
      0.534678736188836,
      0.598913092410562,
      0.588543338315976,
      0.694900571699977,
      0.536449080232027,
      0.728883323713487,
      0.561445690021505,
      0.553211350784244,
      0.499592686923256,
      0.506013881138076,
      0.540655485725941,
      0.575451186260504,
      0.736149385058131,
      0.535667455435865,
      0.56338736561501,
      0.527691682220651,
      0.410452161588919,
      0.511390989536476,
      0.746464300827981,
      0.658128490748523,
      0.536505141635583,
      0.641484788738752,
      0.656309195863716,
      0.528347866541902,
      0.545242947994735,
      0.625944369655159,
      0.570098397394364,
      0.557913689521532,
      0.557443520853577,
      0.529156238015469,
      0.525983136989058,
      0.5600465507555,
      0.525331713809469,
      0.54938732150743,
      0.508759245759714,
      0.621685915661525,
      0.516116690223722,
      0.540363224883569,
      0.574945095092329,
      0.482384499789212,
      0.524083783364954,
      0.673446258881847,
      0.65334687066103,
      0.478600379018639,
      0.581293817465381,
      0.589662737615544,
      0.430130797691839,
      0.453448738410171,
      0.526835179027389,
      0.634558210834509,
      0.553378577547037,
      0.693674116275315,
      0.472693064873917,
      0.536882880825179,
      0.450974244925233,
      0.61121260721242,
      0.514401770515828,
      0.572363844765489,
      0.72968402796231,
      0.675502453859293,
      0.535824154041561,
      0.426739550394627,
      0.631931355258885,
      0.450386773623811,
      0.559898919864813,
      0.684354305892272,
      0.52188428543059,
      0.494567233531891,
      0.617739883469728,
      0.457306303910593,
      0.41536854622985,
      0.407859786442583,
      0.61556274041765,
      0.450546256841502,
      0.430832941304318,
      0.641686067615833,
      0.720127840249558,
      0.515764682545515,
      0.508005530158768,
      0.564227648878383,
      0.531373626666463,
      0.494232968386934,
      0.541573945811885,
      0.598905336122777,
      0.471912000758239,
      0.440461742203015,
      0.479101050438804,
      0.451542560959991,
      0.487052085987593,
      0.473211432636163,
      0.494422227650177,
      0.479720112952555,
      0.519475923718472,
      0.479288451878008,
      0.539464121625932,
      0.507150242717563,
      0.491037823614596,
      0.610513245199867,
      0.643388433940597,
      0.544603257823403,
      0.479708360388684,
      0.454505070977208,
      0.420698027011441,
      0.508557970704745,
      0.743343494108693,
      0.613323250156785,
      0.603900715440739,
      0.537359236562757,
      0.625505292250576,
      0.68779807253357,
      0.568768557622085,
      0.736721442375669,
      0.608385160527325,
      0.648558954836368,
      0.494147421174126,
      0.561363077846983,
      0.54967552909634,
      0.438766360407411,
      0.710070455954625,
      0.595922843877639,
      0.526728472490631,
      0.645926814812261,
      0.521507790572296,
      0.66208428358638,
      0.334412826916908,
      0.626115934960666,
      0.589101815967324,
      0.677678122134648,
      0.461705971426709,
      0.57405032013144,
      0.552306033389602,
      0.515859748275438,
      0.566221394487877,
      0.651468035570315,
      0.593757036851468,
      0.52874256159464,
      0.639522163447534,
      0.624777938122589,
      0.531699523354965,
      0.556332218428763,
      0.682801999631343,
      0.663005686988382,
      0.572617266330071,
      0.653834968852202,
      0.544571658733882,
      0.526217684643863,
      0.595044141961915,
      0.558255317572839,
      0.653751663389075,
      0.54341634976099,
      0.604740411181903,
      0.639642517763126,
      0.449870916810006,
      0.498271429049182,
      0.575041196088886,
      0.608869837400389,
      0.550320694030599,
      0.723043621672224,
      0.517668407314865,
      0.489267322093106,
      0.487531656625591,
      0.540785701682595,
      0.503679793768824,
      0.535670776698792,
      0.734834536394394,
      0.613126287568809,
      0.393655250206453,
      0.517452578398657,
      0.448744123525146,
      0.465011932651315,
      0.509548162840984,
      0.641638455380991,
      0.465372098262917,
      0.532804458326218,
      0.509582931614766,
      0.505483260533007,
      0.424298326079305,
      0.539327251057538,
      0.565838606973295,
      0.577809385767287,
      0.442664433001554,
      0.431032406785938,
      0.486027179209161,
      0.382580802232596,
      0.430519740023946,
      0.370900144123375,
      0.515041537369433,
      0.486784726250945,
      0.581772497053058,
      0.512953747430187,
      0.518489529721457,
      0.437035702270676,
      0.541706117951001,
      0.63342027925533,
      0.510495278450892,
      0.538193583771963,
      0.552744183740981,
      0.458882001545709,
      0.450849844897519,
      0.45834719364486,
      0.537151107933702,
      0.545479497059442,
      0.588797041057582,
      0.664627559978377,
      0.519734619720195,
      0.522756768497318,
      0.534756655700973,
      0.476889680337189,
      0.6916520325356,
      0.627618181336136,
      0.745120812221176,
      0.3949305310089,
      0.542953731668525,
      0.411375785478629,
      0.483894125906672,
      0.410597336359243,
      0.536603266455473,
      0.688593377562634,
      0.603544881387769,
      0.615997297434699,
      0.728992360878109,
      0.55292985016995,
      0.524904654894311,
      0.559795575261418,
      0.636909478650933,
      0.497373804748415,
      0.677101250961616,
      0.600034135097018,
      0.562850104434894,
      0.585226245200252,
      0.574449770745428,
      0.526964182635304,
      0.48730428615171,
      0.649279573001474,
      0.749907736747411,
      0.547002887169123,
      0.475591026513806,
      0.591660078269815,
      0.514075796508537,
      0.477771338162472,
      0.52218144185691,
      0.579836145778165,
      0.625840086111771,
      0.605693297111738,
      0.479001230895809,
      0.468584017439333,
      0.538192729485112,
      0.541972450937566,
      0.690831163366426,
      0.612657578906089,
      0.629895191518261,
      0.479586241081335,
      0.546234246683715,
      0.543236004195267,
      0.681927201273111,
      0.492372324792756,
      0.67925688428067,
      0.58966583750147,
      0.608898290693827,
      0.574231868413516,
      0.548394960739702,
      0.522291955086988,
      0.550492305621304,
      0.733375944164716,
      0.592065595125225,
      0.521762411471896,
      0.791655154928259,
      0.50994299852184,
      0.577688659222025,
      0.56442664322332,
      0.714415295678892,
      0.549186885259611,
      0.518463816205096,
      0.617816087166689,
      0.700226243773093,
      0.636954086076532,
      0.605514871915731,
      0.65038655383375,
      0.646773640106838,
      0.612373505331219,
      0.578672615169855,
      0.527345682358053,
      0.636914895568901,
      0.496806112226933,
      0.652966961580286,
      0.530981702974388,
      0.426440093638283,
      0.567725208711711,
      0.682709985328941,
      0.565512693414107,
      0.591190549898296,
      0.619277734803515,
      0.623881722240589,
      0.571846741800431,
      0.493878605847737,
      0.477117738233504,
      0.650322088004148,
      0.535763299515827,
      0.606240898157979,
      0.542830410989821,
      0.45035202076277,
      0.50877672841569,
      0.653668495102997,
      0.686310310307627,
      0.521628034981329,
      0.587879300964848,
      0.613253867301098,
      0.657880888811692,
      0.569757577871635,
      0.716592551827647,
      0.646883954466305,
      0.615961807046708,
      0.623396161675253,
      0.530538077157126,
      0.522090385190781,
      0.489482598156088,
      0.730042772221212,
      0.54152736743977,
      0.664783618098808,
      0.506189963416227,
      0.584284269878192,
      0.611193804712377,
      0.408719985024173,
      0.706914714433409,
      0.628186461201087,
      0.690567685017222,
      0.482269560455299,
      0.589406975035936,
      0.494885809581864,
      0.449607554436374,
      0.463401036144596,
      0.502773966152078,
      0.560533261396107,
      0.53585205226005,
      0.470743282344759,
      0.476522742661464,
      0.525917922584958,
      0.53465139630755,
      0.533574544591999,
      0.58776503275632,
      0.574352277684407,
      0.391836948621698,
      0.45521202639079,
      0.381463356033472,
      0.45978364827775,
      0.388167807081926,
      0.421344475490115,
      0.45839727155778,
      0.413877134020119,
      0.396642783191068,
      0.429642481187651,
      0.349512926087978,
      0.539728130859248,
      0.452832556530624,
      0.485306332425225,
      0.574574220598268,
      0.625425840461351,
      0.400555501971485,
      0.534022989189754,
      0.571628502046612,
      0.508023682358239,
      0.645215503027792,
      0.730572595409378,
      0.496886113175265,
      0.486302037560937,
      0.493451457299111,
      0.525328199512742,
      0.531246950912322,
      0.492536271644946,
      0.730870057834438,
      0.518404024674906,
      0.448175685982264,
      0.448410776993244,
      0.539630837344259,
      0.425760736842456,
      0.674192845816264,
      0.601484252163006,
      0.53884799262498,
      0.424461355244283,
      0.466525882933999,
      0.468738207883859,
      0.54904490526471,
      0.469679399847789,
      0.518804857217041,
      0.488339614139215,
      0.384444455497123,
      0.568762415499393,
      0.684213017384502,
      0.56249423484734,
      0.603211803805108,
      0.648724648980997,
      0.602411503539001,
      0.621842643490624,
      0.571476913460656,
      0.483713036722018,
      0.693415853999121,
      0.52932411834921,
      0.589464834092029,
      0.534116324553026,
      0.445714398680989,
      0.563628805885283,
      0.647985791398413,
      0.65368650599183,
      0.496883547482704,
      0.561424949249351,
      0.616666186152232,
      0.584271437911878,
      0.535734718590024,
      0.672691310061062,
      0.632231432391199,
      0.563286339092548,
      0.60794305909055,
      0.478851187428832,
      0.473771260133052,
      0.520488041469781,
      0.747908560262898,
      0.546839860399366,
      0.650292417394068,
      0.520919291884225,
      0.63167615905848,
      0.654967891688997,
      0.567366864106425,
      0.70185672281889,
      0.608209472209982,
      0.669923991681423,
      0.521786864679723,
      0.556571488652197,
      0.551068853803034,
      0.409784534350066,
      0.677825054591172,
      0.616575196433112,
      0.521975120749238,
      0.65424473859608,
      0.49690627456425,
      0.666826717113089,
      0.362831899291899,
      0.585404574932918,
      0.638525558768526,
      0.672137400531089,
      0.463077393483541,
      0.629726124161004,
      0.518512214878039,
      0.537954907078873,
      0.479849595008948,
      0.446773635647414,
      0.354740434244297,
      0.514147796079083,
      0.501510099926492,
      0.515241328144197,
      0.422992267935253,
      0.563220720898262,
      0.449260939439185,
      0.518678077935021,
      0.573466804723936,
      0.565980850730698,
      0.527007817635726,
      0.48876540870804,
      0.407308253365694,
      0.519531446935184,
      0,
      0,
      0.475206790055655,
      0.411438472374294,
      0.440537983038582,
      0.39543326116602,
      0.434935338453545,
      0.50866122429492,
      0.440138566207577,
      0.415072474696225,
      0.484090040439916,
      0.414033733578693,
      0.446116034468072,
      0.335893797186848,
      0.436368141750975,
      0.500785586829121,
      0.283533532082007,
      0.442746076321917,
      0.337033545246479,
      0.359048037365444,
      0.317000308656592,
      0.323802240125326,
      0.50659333415878,
      0.295282605706454,
      0.408677656490767,
      0.388735928312062,
      0.34270660058687,
      0.431856549064639,
      0.357438914266953,
      0.497664350905897,
      0.471240641975059,
      0.605960691023833,
      0.57059815475975,
      0.560949337038254,
      0.450799686328205,
      0.498180479630937,
      0.495909091972892,
      0.606721712752266,
      0.66757906264858,
      0.635146249438251,
      0.471606541460777,
      0.496602982550144,
      0.549588768458759,
      0.555909823523621,
      0.706422930233502,
      0.533952539603285,
      0.714409370610916,
      0.550552495502428,
      0.512671397262688,
      0.468836723919234,
      0.502688586369278,
      0.52844125422705,
      0.540360403047199,
      0.745346226625972,
      0.554253377311429,
      0.5663743727269,
      0.50386448385732,
      0.360556745836133,
      0.472655259421188,
      0.583443573621154,
      0.605139938957024,
      0.390686141582767,
      0.559644153001281,
      0.529516190823357,
      0.479461601030482,
      0.576279830482388,
      0.622473458991955,
      0.507034093308822,
      0.508728368684938,
      0.499343792772177,
      0.495739216005267,
      0.56802997696046,
      0.567680212642053,
      0.475468879250097,
      0.541152078087258,
      0.514728288638954,
      0.559105042252535,
      0.459554108971192,
      0.513906133742021,
      0.587985346467511,
      0.477883801374326,
      0.542487984385306,
      0.654022545455461,
      0.619096391727871,
      0.363272013134981,
      0.601085579805056,
      0.544301734124616,
      0.436406088587273,
      0.485318266348172,
      0.436533813133276,
      0.624989838197724,
      0.499446618381393,
      0.668897774965422,
      0.528502798442219,
      0.594825324783291,
      0.439556672258486,
      0.569891698100674,
      0.479441229581348,
      0.515136217299023,
      0.716590542491505,
      0.609474221197966,
      0.583641321837317,
      0.498854747453456,
      0.571991368851595,
      0.431194822007786,
      0.5014448541085,
      0.716546679832449,
      0.535094336449573,
      0.412394587628273,
      0.603900950575676,
      0.426143926584557,
      0.368201547381407,
      0.325630325796818,
      0.635813937442002,
      0.503566717429528,
      0.33778613363719,
      0.574897606491861,
      0.674476537007578,
      0.536358340137085,
      0.490707267699555,
      0.498681706291829,
      0.494558786574174,
      0.386551328042705,
      0.510028724381833,
      0.535028688007721,
      0.475307594377715,
      0.402314948717124,
      0.485308344080053,
      0.512764196208434,
      0.524096804950338,
      0.493917735154558,
      0.636692588183329,
      0.527955983524471,
      0.475403595985339,
      0.481427756714318,
      0.533510838883343,
      0.562408721301401,
      0.426299416321073,
      0.609605045222763,
      0.459536493353345,
      0.530009758799024,
      0.453930985571158,
      0.486513090364517,
      0.438851869685061,
      0.539361446122532,
      0.700546121790959,
      0.605453070352483,
      0.586578076705258,
      0.513451231663703,
      0.593104329469411,
      0.6730216089076,
      0.541271747577698,
      0.729224412835865,
      0.579221566403609,
      0.670818951768753,
      0.503867388159781,
      0.544087351966115,
      0.537171123881482,
      0.467866450246939,
      0.663946937204411,
      0.507033791504009,
      0.491419930054104,
      0.617675161794672,
      0.509624957948033,
      0.574989937531689,
      0.396670835649465,
      0.620196694775261,
      0.588264474428044,
      0.688762942701447,
      0.480012536375353,
      0.57225861612918,
      0.550924326290508,
      0.498720253371522,
      0.660256471780267,
      0.63253029428228,
      0.514975826071528,
      0.442966177666204,
      0.625042849263693,
      0.573440486543268,
      0.430587001261706,
      0.568758878646285,
      0.680988071885504,
      0.686202357444943,
      0.502831218153692,
      0.634122496985844,
      0.616540637948266,
      0.551365902255645,
      0.619641253474236,
      0.590924881105098,
      0.635726666755553,
      0.503086527143297,
      0.580250987834171,
      0.547969886114385,
      0.428730739386543,
      0.427480272882833,
      0.532768534947124,
      0.602214772970156,
      0.547059897458348,
      0.725749614380567,
      0.500530509685254,
      0.518475175489348,
      0.501994579413425,
      0.57730627990943,
      0.434225393935716,
      0.479920819950112,
      0.715138486197593,
      0.566673969157988,
      0.412390725530588,
      0.536012588720458,
      0.455547998124922,
      0.422934443935866,
      0.448736316386661,
      0.65124769187119,
      0.534437384174447,
      0.477490631403886,
      0.466526112521958,
      0.496766303081093,
      0.450169541054014,
      0.446834643187957,
      0.506192641652682,
      0.604301094982716,
      0.383731487277688,
      0.430836258553891,
      0.523279701937813,
      0.418453849240263,
      0.440497301524836,
      0.396685071143664,
      0.481197162118658,
      0.468253910088765,
      0.604130327327558,
      0.536777931077344,
      0.471222525057072,
      0.351219986970907,
      0.507251283647951,
      0.620005624302589,
      0.520482657421659,
      0.491110487096076,
      0.519709858796188,
      0.486914696115758,
      0.468890052315147,
      0.366972003773648,
      0.54454339548676,
      0.590201228653327,
      0.581803999432412,
      0.677349377865653,
      0.587755762400278,
      0.471457073355428,
      0.407480646223602,
      0.456860615276908,
      0.445282165730917,
      0.541110343304901,
      0.693447468503608,
      0.404516985660869,
      0.520186194924514,
      0.446678084707235,
      0.328788616884245,
      0.352172303331253,
      0.603508641266939,
      0.658607983977119,
      0.440870796561585,
      0.484691562036544,
      0.554754953471532,
      0.513018435804635,
      0.495490224229786,
      0.538868462356614,
      0.645695321808269,
      0.444214849556524,
      0.635832566064536,
      0.523294941450788,
      0.527520393528765,
      0.557314716110357,
      0.408346977900879,
      0.528913130356764,
      0.527080946757116,
      0.551335363800098,
      0.460450595121167,
      0.53262439354773,
      0.424661146323764,
      0.475413099225077,
      0.542564812314946,
      0.469006283641628,
      0.568388043990748,
      0.546048294195619,
      0.624183409865433,
      0.595337346060997,
      0.583457058412133,
      0.426544507024872,
      0.558295697016758,
      0.529583557689697,
      0.443830560237216,
      0.597044512504091,
      0.636505210439314,
      0.481892861690666,
      0.525531246324873,
      0.53866519122084,
      0.664625951817858,
      0.413294300326854,
      0.660086997257112,
      0.61877194168959,
      0.592996544769228,
      0.505233331572032,
      0.611793485041901,
      0.500471537337121,
      0.429322946999394,
      0.710526540679621,
      0.525018093458926,
      0.554980729004242,
      0.727459073353276,
      0.508808020699589,
      0.555490845862624,
      0.477901673680601,
      0.70317793421179,
      0.512502378382548,
      0.443553314274763,
      0.596879217622122,
      0.602891039060103,
      0.617330083823925,
      0.562471120265726,
      0.64106636622297,
      0.616463946562719,
      0.586383382579358,
      0.560527104898849,
      0.568875773044551,
      0.519384330886184,
      0.464877734794238,
      0.657933601210794,
      0.587431268718095,
      0.444822879702827,
      0.530352352337071,
      0.703140296197464,
      0.545080483065292,
      0.586415969809896,
      0.598636362064983,
      0.603171436012884,
      0.525401627840624,
      0.50015352062001,
      0.510395940701319,
      0.60447617114764,
      0.560680165407401,
      0.550952038231496,
      0.522487972872065,
      0.476332801236319,
      0.491735756515873,
      0.615215812205549,
      0.677208415493446,
      0.545678163175486,
      0.569810836679965,
      0.570308154295126,
      0.63454921503859,
      0.548945057123409,
      0.680530105669199,
      0.639050398516703,
      0.631820330282185,
      0.550500861599715,
      0.541810868526708,
      0.533058020390663,
      0.514905115995173,
      0.687761971795138,
      0.48900379832697,
      0.656629561339609,
      0.489831373621955,
      0.521535500632999,
      0.582446119957064,
      0.424560415271413,
      0.719151685687815,
      0.617969368133395,
      0.69341005867441,
      0.53179531719138,
      0.549568319797002,
      0.515225231040515,
      0.389920444280698,
      0.376437086612425,
      0.386561853982134,
      0.365102797840821,
      0.668297825557281,
      0.413442108973446,
      0.394127116245148,
      0.410729891244632,
      0.446598185059748,
      0.540000562051455,
      0.498556763428667,
      0.491136044017923,
      0.375142449916985,
      0.48130787199962,
      0.358202515103254,
      0.445398158010725,
      0.412117073976685,
      0.369337694907164,
      0.404441974150169,
      0.318518075239937,
      0.400979841914179,
      0.392449983408931,
      0.46122368925363,
      0.606631174671007,
      0.522572541718682,
      0.470088723905107,
      0.476903886479579,
      0.599992884618832,
      0.506140110483696,
      0.609173313128246,
      0.558892358595659,
      0.504855839873649,
      0.507825884798782,
      0.69208011931387,
      0.503711843889825,
      0.485821154667051,
      0.472106598486493,
      0.533511466433582,
      0.43811238202075,
      0.523104463823854,
      0.723462841803826,
      0.5570551602888,
      0.419237650579361,
      0.606694783950801,
      0.515204870676269,
      0.455104826245843,
      0.46321799323914,
      0.642099695901071,
      0.470030414104136,
      0.37091667859637,
      0.479209203612331,
      0.466274949661208,
      0.556997772102803,
      0.502298998077701,
      0.497385995403357,
      0.501070830148004,
      0.410312092982927,
      0.534078326461902,
      0.686516085278471,
      0.510362439381798,
      0.582534570018175,
      0.566216088138067,
      0.606334413272311,
      0.563847557538031,
      0.540360874491841,
      0.480950691683623,
      0.635928471093711,
      0.548345449191097,
      0.601791914495468,
      0.562523226495871,
      0.494664779757391,
      0.481695530669824,
      0.654059212908484,
      0.646473214570904,
      0.504496829231079,
      0.587027420042579,
      0.578762929285913,
      0.530325979853561,
      0.511828282109718,
      0.659870506120901,
      0.648224378492133,
      0.607823886707302,
      0.48638313202402,
      0.474728043279124,
      0.464410215890593,
      0.546982915690668,
      0.697197365343921,
      0.525029794351731,
      0.62950279630811,
      0.481159576930114,
      0.580686782040022,
      0.641540794575933,
      0.556722525872547,
      0.730847835359021,
      0.586453984250052,
      0.672536770406897,
      0.506773429355374,
      0.551608655534441,
      0.543704263027367,
      0.422651568489808,
      0.695867324273474,
      0.53753835597537,
      0.474596039688013,
      0.646900239642942,
      0.501739803478337,
      0.582314358408615,
      0.402961003179221,
      0.55262523422957,
      0.629895710521318,
      0.690358475440267,
      0.533630252244141,
      0.600436318841472,
      0.524477323616739,
      0.558180565393424,
      0.535351201920128,
      0.473193331401533,
      0.423031604707025,
      0.539850076158692,
      0.515547846102264,
      0.548607383383969,
      0.45541513624863,
      0.602865423390175,
      0.433232446382415,
      0.514464162187091,
      0.583802698164603,
      0.573873460338375,
      0.590116945591025,
      0.479906585285643,
      0.415730629059056,
      0.517560822683379,
      0,
      0,
      0.60786992689407,
      0.364227966386744,
      0.415651005830508,
      0.430424335566156,
      0.436448155576798,
      0.635648312736758,
      0.548110805637352,
      0.614375760031937,
      0.583566552340355,
      0.46614474531932,
      0.395784880390391,
      0.42615511278025,
      0.639145720801335,
      0.661288368444241,
      0.551891967178374,
      0.640583166848597,
      0.485513420099012,
      0.446867523308524,
      0.493037468199996,
      0.572180732816051,
      0.614093056673239,
      0.399118867701685,
      0.683936026356257,
      0.583354224591248,
      0.494161034369927,
      0.536162605054326,
      0.612061651659665,
      0.576013273242894,
      0.464916567392666,
      0.488928178467449,
      0.573147267742544,
      0.526146906471812,
      0.456267933732489,
      0.472025267244806,
      0.416064774312203,
      0.49519846584268,
      0.530828763677034,
      0.677309746719243,
      0.468593574496678,
      0.463348493495396,
      0.482329551375348,
      0.611854860352131,
      0.671012667060846,
      0.581732450867274,
      0.68741717407298,
      0.548650181890526,
      0.558929036822916,
      0.457246809271257,
      0.539030494308084,
      0.556724156631078,
      0.552891353877949,
      0.718529787062548,
      0.488392176348901,
      0.579471135058378,
      0.498859516467359,
      0.404171108509457,
      0.585122987055737,
      0.415447376348998,
      0.658134111874412,
      0.431021827210175,
      0.554178879789875,
      0.518408683433371,
      0.447076489324787,
      0.532293058843185,
      0.565942605557627,
      0.50379922698857,
      0.437311142626438,
      0.502867283872671,
      0.410246445305896,
      0.708368750895585,
      0.685105808716556,
      0.569154992598593,
      0.631093902582658,
      0.5811360240869,
      0.538602588210554,
      0.541288646762082,
      0.609913614101546,
      0.541158765283691,
      0.43687018964233,
      0.582096955248993,
      0.61520465166997,
      0.546917764946123,
      0.520759144025265,
      0.640810419042946,
      0.610425485051491,
      0.447274817718181,
      0.462010279115432,
      0.475400591720325,
      0.496233369184952,
      0.491816767350357,
      0.673269714727746,
      0.54293598843853,
      0.640817336467925,
      0.447218875362078,
      0.512876050044812,
      0.431231410321211,
      0.543545841010101,
      0.682489097895733,
      0.728256180382974,
      0.567173496598507,
      0.555349893826014,
      0.49700018010756,
      0.418945221245261,
      0.520788037510706,
      0.714158237011045,
      0.546307067359326,
      0.531686142748911,
      0.663073672556709,
      0.54941253236797,
      0.433189992351475,
      0.518400752347255,
      0.611339511055676,
      0.608607154003856,
      0.417959229767807,
      0.515406869963047,
      0.489997852185645,
      0.501606492271167,
      0.421781081853105,
      0.518849352305132,
      0.551888433077776,
      0.480815666718457,
      0.578634788905518,
      0.556202801517397,
      0.441284639409533,
      0.39481472774351,
      0.593995073015087,
      0.709345096181787,
      0.596566414897173,
      0.588848857988237,
      0.66003105537624,
      0.54323321435861,
      0.431683879824097,
      0.512403595191197,
      0.520013658608052,
      0.581471828754914,
      0.639361418114438,
      0.638242552708467,
      0.478551329915596,
      0.486305215552013,
      0.518306896082346,
      0.551755486024288,
      0.569346921650057,
      0.574498951642116,
      0.687980281448146,
      0.626004925406089,
      0.570356204363546,
      0.536551996608341,
      0.659156280247102,
      0.652009324702396,
      0.549620268791807,
      0.719258713303898,
      0.551907532224836,
      0.670173566902045,
      0.558998422441763,
      0.706499355475862,
      0.713548379080215,
      0.551242453747744,
      0.732874379229499,
      0.510187202797557,
      0.552698278723224,
      0.64825793744022,
      0.538535175129823,
      0.59144682983576,
      0.507015801858564,
      0.661178328737825,
      0.572909929694585,
      0.735175534780601,
      0.565248897824601,
      0.630876760305507,
      0.596197804693136,
      0.513539291895364,
      0.517017402955396,
      0.643235363454217,
      0.488228924893339,
      0.467555347403044,
      0.629720452592625,
      0.567249961171637,
      0.475787463772327,
      0.539957585010019,
      0.607974153769542,
      0.696716285135393,
      0.50814042695063,
      0.655711614395594,
      0.751456713365921,
      0.617020440514204,
      0.65560180324455,
      0.56967877079854,
      0.599231963851649,
      0.542857906917982,
      0.610480715595238,
      0.585525890435598,
      0.454559194913056,
      0.532345754754279,
      0.569493546574016,
      0.578881740578105,
      0.622296892044142,
      0.751655439235768,
      0.599256314639849,
      0.518671166883976,
      0.509662377415651,
      0.530120411240467,
      0.435983282690829,
      0.467377154347562,
      0.700476299315008,
      0.594674268321967,
      0.512550449523965,
      0.519399447426919,
      0.504731665464599,
      0.422830194230136,
      0.468675611589577,
      0.682454107349945,
      0.66208772110259,
      0.583496753764334,
      0.588727243912774,
      0.547707043543116,
      0.461634907304967,
      0.492501496644624,
      0.549878402038946,
      0.605772828279646,
      0.474000155467059,
      0.635779603681499,
      0.575576787755112,
      0.481531258147224,
      0.498375117991793,
      0.567165153507959,
      0.535373608208961,
      0.473637207850523,
      0.54299660391527,
      0.523427235103568,
      0.424203222297403,
      0.349045891929528,
      0.50151117228774,
      0.613735722892385,
      0.526526576351949,
      0.559649494373246,
      0.572436634583177,
      0.510913887649651,
      0.455782595322185,
      0.491449993130488,
      0.574155072856022,
      0.640882971965771,
      0.592465803459923,
      0.677340794187623,
      0.631642970249299,
      0.439363250158471,
      0.498780566479626,
      0.549631344332963,
      0.547238890765555,
      0.6068905087598,
      0.719398484650451,
      0.523775892245641,
      0.497303915810145,
      0.520119187341764,
      0.409771767942236,
      0.589519502601217,
      0.5312593077993,
      0.692062667022585,
      0.372415306660801,
      0.550352095708299,
      0.519384434201085,
      0.492271888140534,
      0.566527466726088,
      0.485111825826651,
      0.651127310742801,
      0.468956428667155,
      0.606203611204789,
      0.506720721077227,
      0.563350548096749,
      0.700891963254981,
      0.574897859102155,
      0.595553159764099,
      0.565934858977943,
      0.577146828548983,
      0.596330394073865,
      0.557457122746374,
      0.497466763982217,
      0.444468980054703,
      0.627739036910589,
      0.55867215566675,
      0.560978845812741,
      0.547923169954017,
      0.598546843140237,
      0.607722057438934,
      0.543705694954503,
      0.430455683649719,
      0.549537687706447,
      0.524481995523947,
      0.503295816135942,
      0.60765232877391,
      0.620461334741046,
      0.475065616918948,
      0.478760146171016,
      0.516953541620029,
      0.649734563033851,
      0.431027615019092,
      0.683751500821965,
      0.678874534188992,
      0.578478710266259,
      0.572375485120718,
      0.614528810217751,
      0.511013607470434,
      0.513531717206043,
      0.681537600860443,
      0.618604541396953,
      0.644102559908859,
      0.518594262367782,
      0.544923044220777,
      0.528051854393822,
      0.540493193095994,
      0.714848144875181,
      0.64507590612765,
      0.557192868349768,
      0.56055384404832,
      0.530559888489415,
      0.689233090294393,
      0.594748855900965,
      0.627335281361625,
      0.54829853378348,
      0.587637049304564,
      0.577522833144193,
      0.603467071580199,
      0.503886455086903,
      0.49586846200929,
      0.572523037215146,
      0.73923833657579,
      0.584344453631927,
      0.600183413049919,
      0.550210563041025,
      0.535200707579311,
      0.64734799583605,
      0.605770708827052,
      0.61015482473919,
      0.555238438818868,
      0.659023535979789,
      0.579184914276398,
      0.607418914282385,
      0.5571128936553,
      0.54325939881126,
      0.62332941067871,
      0.518212748126178,
      0.519782706093817,
      0.658686886147336,
      0.686177406907324,
      0.532966283682884,
      0.604226107682436,
      0.634023151008288,
      0.637815982302328,
      0.556185359043424,
      0.714495057029193,
      0.586351278936575,
      0.641951764447968,
      0.497298538816196,
      0.711865284038993,
      0.660662338471898,
      0.583589155285714,
      0.71833191570611,
      0.502173277101892,
      0.637375816252133,
      0.514802645005559,
      0.572036421158939,
      0.572910913337954,
      0.51921023714419,
      0.710898995403214,
      0.581669799435861,
      0.748864232285954,
      0.52059009801393,
      0.66359301178334,
      0.570970410473723,
      0.422444928960555,
      0.436734965583385,
      0.448883004803315,
      0.483480437672523,
      0.630313607773936,
      0.430434471335746,
      0.427626329512957,
      0.417437798159156,
      0.473255270721493,
      0.542732158644036,
      0.545246474935386,
      0.468860984189321,
      0.624928200186999,
      0.48923604782343,
      0.460290875502912,
      0.550863221070191,
      0.513645081874661,
      0.459491038886237,
      0.567547414680283,
      0.545922393906306,
      0.441810594128842,
      0.479637472812773,
      0.586593255661734,
      0.601295728591236,
      0.568243263317702,
      0.58884474893322,
      0.62743251511486,
      0.624686275392233,
      0.475155926857469,
      0.474570905424429,
      0.551599601309816,
      0.503782667593741,
      0.489072053960898,
      0.695779823520161,
      0.556756572505626,
      0.487852667256588,
      0.507551045706884,
      0.521097881480115,
      0.436940310912051,
      0.555813117777756,
      0.716283237257047,
      0.743252577698132,
      0.551732555400628,
      0.599427906039072,
      0.510506797770481,
      0.445847500496151,
      0.473869749841015,
      0.653471079589068,
      0.577160307307059,
      0.482492047457664,
      0.590510738200846,
      0.537735775440418,
      0.560175457240761,
      0.514126815290407,
      0.580071523360092,
      0.603909263019493,
      0.419485950889498,
      0.44591925882627,
      0.537103518776088,
      0.582035002663404,
      0.643607776824176,
      0.610530843732497,
      0.62657122178283,
      0.617554569186594,
      0.604673511219697,
      0.578546173866751,
      0.567021346796416,
      0.519361772896685,
      0.553138455453945,
      0.714837074704749,
      0.595817358359273,
      0.596783572417629,
      0.657216520003954,
      0.652283608915393,
      0.523408134277902,
      0.660369758984378,
      0.594451593665386,
      0.537836107547772,
      0.630310909542198,
      0.700615084624132,
      0.617651966043694,
      0.639525421694989,
      0.539020181537173,
      0.615118979497364,
      0.596283617226322,
      0.577921115935348,
      0.693605489261231,
      0.548245321234963,
      0.60875478935383,
      0.526245404703927,
      0.629922427251794,
      0.612151833267333,
      0.547394534424074,
      0.701647011015842,
      0.520705061788395,
      0.697893769287447,
      0.540691804268463,
      0.690787776586925,
      0.720522967982264,
      0.539786572953563,
      0.702403093911862,
      0.554954343764254,
      0.523970345470524,
      0.678860050460565,
      0.554290907962743,
      0.596742628956144,
      0.493936030826914,
      0.654437740052095,
      0.599907551771286,
      0.690878985315541,
      0.614392075018383,
      0.628069195888553,
      0.575560201432415,
      0.536477056062676,
      0.531432513760366,
      0.442400109304416,
      0.433263087566203,
      0.510151589035179,
      0.487264281860758,
      0.511115652267839,
      0.449357509636152,
      0.570843730230606,
      0.428941831727492,
      0.487830735706714,
      0.55070677332148,
      0.631983506116365,
      0.755977352946252,
      0.607200613159135,
      0.425717964900357,
      0.513117172507381,
      0,
      0,
      0.529625525487672,
      0.342830567758987,
      0.375951719318618,
      0.34115062268415,
      0.425609339869478,
      0.550497100931763,
      0.509747098254947,
      0.526948783249645,
      0.462418996139379,
      0.374654936195735,
      0.3486669514585,
      0.417595832475785,
      0.585720796292147,
      0.624364555942976,
      0.514157410847467,
      0.600917771494169,
      0.436759967055622,
      0.42512994976223,
      0.467608657955786,
      0.52900042493538,
      0.594674755844992,
      0.372261170325778,
      0.643611858728755,
      0.514361583193216,
      0.443396095071142,
      0.504813914028697,
      0.56856477292805,
      0.555151567048893,
      0.506471854614226,
      0.493269085867442,
      0.503977756750697,
      0.486057179131062,
      0.488829694072395,
      0.480729495726713,
      0.490486879580806,
      0.53313681268575,
      0.508466501506047,
      0.62471707028882,
      0.437816091323888,
      0.540325061977682,
      0.527313447165762,
      0.614499704925596,
      0.623020014405511,
      0.51986750713405,
      0.661390365273661,
      0.548885875028891,
      0.624537569925388,
      0.450898818534177,
      0.572573039619366,
      0.532638976166645,
      0.501398214911309,
      0.702885825593481,
      0.449672919791353,
      0.528654631505006,
      0.472964804815912,
      0.430104340707184,
      0.555397245178368,
      0.378865942387736,
      0.647200780470551,
      0.482374292813888,
      0.566422292897512,
      0.528078104428146,
      0.489897623749965,
      0.487546576400922,
      0.517430950090134,
      0.495168608109823,
      0.434134689820223,
      0.629447627074239,
      0.406309840955594,
      0.654693691702984,
      0.605472932292405,
      0.488642403501159,
      0.596752086397979,
      0.576470242836379,
      0.534595280427493,
      0.515613034372925,
      0.692254189238645,
      0.546087718785469,
      0.414450324452585,
      0.538184743573983,
      0.56580173444851,
      0.541574154506995,
      0.485743766569011,
      0.616705186163747,
      0.579781241668157,
      0.400434161334846,
      0.488548863182464,
      0.483719997068142,
      0.5266816904622,
      0.473151473971405,
      0.643075375649515,
      0.521630076423401,
      0.560777243501185,
      0.503395483566104,
      0.530391893551217,
      0.407462393147994,
      0.575906193688014,
      0.652905667735097,
      0.693890786502674,
      0.53448444038116,
      0.509821481848402,
      0.606551878186957,
      0.449902406794014,
      0.534319814364233,
      0.723766106860097,
      0.58377354435643,
      0.512759455259102,
      0.660287745071906,
      0.5278329812467,
      0.37989322147643,
      0.475892518269353,
      0.545464848414707,
      0.560037352928536,
      0.361762642565988,
      0.507849284542305,
      0.490751369779528,
      0.498236391151568,
      0.424455168831674,
      0.552388790776806,
      0.493658051017418,
      0.507686340197731,
      0.563198584322768,
      0.514053461003445,
      0.411440184704401,
      0.434065253813338,
      0.568009326078487,
      0.637967666052823,
      0.597002517647081,
      0.569017520486493,
      0.601365826748314,
      0.552495121561093,
      0.398860163437489,
      0.490012920829084,
      0.571401443509992,
      0.573128895204842,
      0.598132768905942,
      0.587104016781155,
      0.465141698873495,
      0.485337813882178,
      0.511669357976636,
      0.520555657016463,
      0.540016505307872,
      0.570914419267091,
      0.663292818222716,
      0.605973757443811,
      0.584049787429041,
      0.549672068356785,
      0.631564470069369,
      0.620053104824517,
      0.604139966775367,
      0.655775829067154,
      0.539627630230698,
      0.53967217687218,
      0.521697160807225,
      0.702830325930934,
      0.657447994240402,
      0.528200004323082,
      0.718063677377844,
      0.546168921050404,
      0.542031327964704,
      0.64030151077078,
      0.515414619902068,
      0.591313482649047,
      0.483173525938224,
      0.628934744147575,
      0.562184502983313,
      0.670664356588625,
      0.488285135955273,
      0.68481319678351,
      0.564430879253229,
      0.53018425843809,
      0.535748345042478,
      0.632258233090992,
      0.507586209620282,
      0.500550884438118,
      0.67139794907672,
      0.53204787152806,
      0.476994110895823,
      0.56522440940391,
      0.592702219843313,
      0.624014546318036,
      0.492094966100621,
      0.620439791598757,
      0.681440397577111,
      0.560140548341809,
      0.598949723248471,
      0.518895209156051,
      0.599846212653599,
      0.531215671662285,
      0.562639168733385,
      0.581058626283032,
      0.47168377720531,
      0.523295428585215,
      0.564544599231802,
      0.550933475143821,
      0.611406158834827,
      0.691340734298123,
      0.574643937562854,
      0.471904417396872,
      0.54442395505435,
      0.525494645358725,
      0.450369039036926,
      0.500221057950361,
      0.686554350802112,
      0.605541232261366,
      0.425437751187601,
      0.610506528720514,
      0.626758441796267,
      0.321011170574489,
      0.5719183785193,
      0.547045888308959,
      0.603955643049043,
      0.546707665164158,
      0.557191311886504,
      0.607024925411522,
      0.455262654001091,
      0.467181692779749,
      0.535494739735264,
      0.602684392587077,
      0.516009556051329,
      0.582049213472718,
      0.512221890735354,
      0.45616894147428,
      0.467976602934038,
      0.523124193442998,
      0.512064399814064,
      0.554229682955361,
      0.505000076318234,
      0.468349369353427,
      0.454621585772968,
      0.303987836033696,
      0.54155404790873,
      0.622689255638413,
      0.595671855636135,
      0.561981206555947,
      0.548414931777188,
      0.501015340707643,
      0.41070326622458,
      0.45725588138195,
      0.499002260642454,
      0.582079660884857,
      0.542838087442256,
      0.617860078376943,
      0.585569983430575,
      0.472547975353331,
      0.446827154518424,
      0.516731311020892,
      0.515495247722123,
      0.586380825063221,
      0.670846279848144,
      0.48134045234061,
      0.497704069790282,
      0.503236093874189,
      0.395103346619233,
      0.55661840117105,
      0.503321136243439,
      0.673602431414011,
      0.378998078934655,
      0.673455049921489,
      0.521971934062792,
      0.500808985273854,
      0.524727432846766,
      0.473653113038356,
      0.576409080966407,
      0.459261528097906,
      0.587233663563857,
      0.488961342359671,
      0.548022481553437,
      0.640461169462669,
      0.532185478953131,
      0.556259564412207,
      0.544799500350208,
      0.574654641347164,
      0.592373367317572,
      0.486787363603334,
      0.46224018898263,
      0.560382505467592,
      0.580917318983974,
      0.530964989436168,
      0.528728358919495,
      0.510817395109691,
      0.549262035696668,
      0.517736002603504,
      0.447718005287476,
      0.475601815762771,
      0.53986528767736,
      0.554717400359947,
      0.513426081656711,
      0.564910658410228,
      0.600558996421731,
      0.489392963823932,
      0.489377437913442,
      0.499283889936668,
      0.576512916018378,
      0.432295373988408,
      0.615373519341303,
      0.59697608540919,
      0.504597388200719,
      0.57841741781472,
      0.54101649857056,
      0.515726841154951,
      0.549384606738178,
      0.69682748727923,
      0.582021612041327,
      0.680808715002262,
      0.494732405768682,
      0.534463381176232,
      0.485603844274633,
      0.483941958599674,
      0.60381738115884,
      0.602492044081374,
      0.471839441452522,
      0.553908794449632,
      0.59175278652606,
      0.665254293851348,
      0.567345958952537,
      0.638854060886704,
      0.528647823668843,
      0.580966918520793,
      0.516463897676571,
      0.556430308867349,
      0.488341491180477,
      0.457304885540425,
      0.633922149947963,
      0.688935185885244,
      0.541081089175941,
      0.570100757587387,
      0.558531680497485,
      0.552828662566789,
      0.620616229190369,
      0.546064649472573,
      0.581041319798108,
      0.547324393850175,
      0.620297710258453,
      0.53072230502168,
      0.582462722455005,
      0.539916746730866,
      0.512180244974115,
      0.67014257975932,
      0.542991427829483,
      0.527139501968627,
      0.601541365379383,
      0.683758851682778,
      0.544326825551799,
      0.601181297789101,
      0.596580140829529,
      0.653536149999104,
      0.561053346729506,
      0.676182826151277,
      0.523469840110413,
      0.558519472661826,
      0.53322188141255,
      0.678725758451625,
      0.625864359207126,
      0.545021267656219,
      0.714316542121001,
      0.543534543003339,
      0.624373166409443,
      0.516375072973046,
      0.551372102235839,
      0.52943244511992,
      0.491478067031785,
      0.667591073772616,
      0.5842214559813,
      0.652086286141139,
      0.50116495589933,
      0.711000204129188,
      0.538572900208402,
      0.388725378006057,
      0.465992586018385,
      0.473876437453805,
      0.464125078732036,
      0.507470231611495,
      0.419389038790661,
      0.423564415974988,
      0.357060234139411,
      0.430549782699559,
      0.474399473872643,
      0.563463389418244,
      0.476614771577534,
      0.561676006143082,
      0.541498806435833,
      0.407855174001263,
      0.56370862413556,
      0.498798455626087,
      0.473422660496575,
      0.527796657593478,
      0.503158925409866,
      0.455322046461048,
      0.447726325819061,
      0.515240777964233,
      0.549887817051599,
      0.458474605125875,
      0.56695241506615,
      0.601363746116972,
      0.575251618717245,
      0.459080357692494,
      0.536487834552197,
      0.522383254070339,
      0.520224740303815,
      0.520125111859122,
      0.645995262616565,
      0.495774644576798,
      0.554144316946912,
      0.53817802215258,
      0.535654897320036,
      0.45615549232025,
      0.521985337502424,
      0.651710750111789,
      0.67022539099564,
      0.528598711510662,
      0.519930104844952,
      0.513450133628264,
      0.421884476405776,
      0.468217644126185,
      0.666137358643769,
      0.544772628676904,
      0.450432764469114,
      0.523364992889457,
      0.529257514594313,
      0.558867155801347,
      0.486778643990612,
      0.561673188834952,
      0.570351871386951,
      0.395183000572873,
      0.486374064986394,
      0.566956621557163,
      0.56285704617101,
      0.622408602634342,
      0.658557465643465,
      0.553739899973667,
      0.59336361129925,
      0.573410305671326,
      0.484857564658926,
      0.578449967481189,
      0.482901208236342,
      0.514275011189582,
      0.659099226476386,
      0.553325813851096,
      0.565594707463088,
      0.598464539459785,
      0.63709399030242,
      0.54385579625766,
      0.615042012382647,
      0.563936014717414,
      0.547816329829563,
      0.60660030798025,
      0.686934107481977,
      0.557178490135585,
      0.563542827773058,
      0.505356990605126,
      0.624084454558103,
      0.598621819853746,
      0.529018603424852,
      0.683065359120754,
      0.550335085527975,
      0.629897559567501,
      0.538440229689527,
      0.624079967644248,
      0.598006573569493,
      0.55875062181725,
      0.653256102572728,
      0.526766701284071,
      0.57767408300059,
      0.512524914632822,
      0.697360655028991,
      0.659810171168621,
      0.517934150393528,
      0.663202421714596,
      0.541448726868822,
      0.528515456402104,
      0.661104978138161,
      0.529184114754025,
      0.627976641281137,
      0.473625990791597,
      0.622028679999085,
      0.564284909463403,
      0.634253561774354,
      0.557716392592281,
      0.655977803096327,
      0.545046254278171,
      0.559478651946625,
      0.550678047646541,
      0.50065397958672,
      0.461572495600977,
      0.545453550626211,
      0.531363911889532,
      0.51542355617754,
      0.500736275285675,
      0.607549650538248,
      0.490518856590248,
      0.520057981813583,
      0.588014385482545,
      0.602738052102756,
      0.65966102950235,
      0.537595827609304,
      0.383649810973459,
      0.55852437635385,
      0,
      0,
      0.499084482085871,
      0.408172969126314,
      0.499561370402425,
      0.515263764037096,
      0.521803030093201,
      0.53128477109296,
      0.56658566517604,
      0.532371758612696,
      0.486832333704655,
      0.396410596312371,
      0.391434898721364,
      0.490872101739875,
      0.454031211760197,
      0.586319401738196,
      0.500575465809544,
      0.591370221655396,
      0.425482624396051,
      0.48829732691793,
      0.405694971715881,
      0.364239007092208,
      0.589534782325391,
      0.479290422194037,
      0.545290195875454,
      0.553582853979107,
      0.432905348502221,
      0.429218313295958,
      0.457613693483335,
      0.456340789290894,
      0.490820458406858,
      0.605537479142678,
      0.607573689862473,
      0.67896506529938,
      0.598339304099515,
      0.724259749541811,
      0.675192519245445,
      0.62288132324128,
      0.637656004052232,
      0.634034491307885,
      0.63614387971619,
      0.616426372260343,
      0.578397543411775,
      0.54777418665901,
      0.609210252640847,
      0.637252957179328,
      0.702701233665614,
      0.565045993104171,
      0.632829725571183,
      0.4752682500484,
      0.594222036245926,
      0.584500322367988,
      0.582535817668123,
      0.680636328292901,
      0.530725267749688,
      0.578657671033328,
      0.571985380139205,
      0.451720178844338,
      0.451800680184777,
      0.686407342770611,
      0.649870770310626,
      0.648041272438393,
      0.618226398496165,
      0.641589588539275,
      0.549226770982975,
      0.615291862381191,
      0.658831548331687,
      0.698803393571842,
      0.528753285345636,
      0.668751753166217,
      0.588091607135951,
      0.577799490747031,
      0.605948214998906,
      0.583168821730686,
      0.618179338279102,
      0.597213095575311,
      0.603665236287943,
      0.567048472894151,
      0.66886459691654,
      0.503056133797872,
      0.61483391287494,
      0.549113874457959,
      0.49429382987746,
      0.521559455170573,
      0.492957752464031,
      0.601992069438432,
      0.608207198415315,
      0.655994182598446,
      0.570005473027489,
      0.62930776675728,
      0.647085497751783,
      0.623379064362218,
      0.680561340879357,
      0.687380821725802,
      0.6290938382487,
      0.714959268320163,
      0.677124082838867,
      0.624892846367002,
      0.647256276069913,
      0.684811056911008,
      0.613935900767805,
      0.513470307949808,
      0.625799278439272,
      0.611137998437831,
      0.498082671652801,
      0.595221309481765,
      0.629665426624982,
      0.613441335523967,
      0.509553000592788,
      0.567173723546701,
      0.605856147345759,
      0.463993594223428,
      0.434811836509866,
      0.567934522094342,
      0.621015615101231,
      0.545556462152806,
      0.658975409239574,
      0.598164914928374,
      0.649014137688993,
      0.538958306332441,
      0.674244723799165,
      0.620377389036299,
      0.541268573490377,
      0.681096922782319,
      0.647128818536546,
      0.53079229171278,
      0.495290653125281,
      0.64462894246943,
      0.512429695363546,
      0.532650738899731,
      0.58355151317781,
      0.614378493665185,
      0.528965908633812,
      0.424222520783162,
      0.524974779420746,
      0.705266904413861,
      0.656881292889538,
      0.545612718255623,
      0.597485680161876,
      0.60445923247933,
      0.588360734956605,
      0.536079815264982,
      0.516509069444811,
      0.478168926359495,
      0.683151576516041,
      0.662787186218398,
      0.587508949515615,
      0.64615794537298,
      0.651152935071057,
      0.628249576327238,
      0.681026413797887,
      0.691963710103711,
      0.684372501417454,
      0.57008264564303,
      0.740162230273887,
      0.637595848085673,
      0.626669863652363,
      0.527023045550948,
      0.567627025638762,
      0.619471342368821,
      0.605244367112089,
      0.53176072995993,
      0.601272558496883,
      0.530613161590902,
      0.548977224458855,
      0.655526198533498,
      0.564737904496751,
      0.56959007416291,
      0.66481594995541,
      0.559962142275315,
      0.711927910869265,
      0.558534259321453,
      0.662519793567009,
      0.657634495362372,
      0.696827752832289,
      0.60642216145815,
      0.54784358541401,
      0.650030635597606,
      0.644277225404222,
      0.655347572885918,
      0.662282280237744,
      0.670454442232764,
      0.686045753550852,
      0.641465181664405,
      0.610532130724593,
      0.610311809125557,
      0.554645354128061,
      0.595420728019687,
      0.615950374544835,
      0.609004039213398,
      0.551145498356564,
      0.585734676238377,
      0.596242586093697,
      0.506672540217505,
      0.547273433203021,
      0.561297716057376,
      0.551144112864645,
      0.597035778344522,
      0.702939144180602,
      0.622133623864537,
      0.654853763452406,
      0.664340747069365,
      0.637915042552139,
      0.595737688545525,
      0.535137662280045,
      0.660040814257931,
      0.619834544108811,
      0.600898379801422,
      0.651191102250551,
      0.696849697624641,
      0.575904307200187,
      0.701794049320267,
      0.584000751709152,
      0.510246117543891,
      0.529552625327171,
      0.601084171970522,
      0.648610752159617,
      0.462998310262866,
      0.451401004934794,
      0.593554766282987,
      0.668976339720694,
      0.525015680521422,
      0.534571370996062,
      0.619983178389591,
      0.479953553116882,
      0.465505116490555,
      0.459845493537398,
      0.567001803779667,
      0.535017824474744,
      0.697105808534964,
      0.652722000601557,
      0.670407112376373,
      0.574779414222685,
      0.660564927920118,
      0.705886985368192,
      0.587627768983401,
      0.682360123089782,
      0.647487254087658,
      0.662428076134361,
      0.552105726645378,
      0.618455434835908,
      0.422227921274078,
      0.535928819910997,
      0.635701504670507,
      0.649348336279347,
      0.609317794544689,
      0.466819581373391,
      0.54361269380304,
      0.601607628231475,
      0.54450721680537,
      0.634388796457261,
      0.68874726579406,
      0.598201397996846,
      0.587301777149764,
      0.567609283773693,
      0.460896648784967,
      0.445663999715572,
      0.682704147880837,
      0.670373655896789,
      0.554323974922548,
      0.672676874028525,
      0.701720254097605,
      0.528132129755627,
      0.695510716868174,
      0.714122866574077,
      0.655935659638084,
      0.556824275694107,
      0.709005922052235,
      0.558028869144286,
      0.50354151504886,
      0.570948968354054,
      0.641276919478867,
      0.57029255318941,
      0.510680035093917,
      0.581541871439549,
      0.640898614667891,
      0.517590855675299,
      0.455284362933129,
      0.668479551814161,
      0.533743906203514,
      0.530766302536887,
      0.583943385406387,
      0.495451683259524,
      0.603300486485763,
      0.562473357313451,
      0.678711628069222,
      0.677806937920973,
      0.697865064926177,
      0.691487144088765,
      0.651020325619373,
      0.666269740894363,
      0.662523769024629,
      0.649234142020337,
      0.692017804540806,
      0.596149941073208,
      0.612164493061868,
      0.551551397717676,
      0.653272236556632,
      0.519050399626664,
      0.548996237396613,
      0.606765134935071,
      0.616395856187268,
      0.560816727400237,
      0.717944449687296,
      0.698735968029738,
      0.64295940598572,
      0.596018239995697,
      0.549389317342049,
      0.6210575790202,
      0.56346538590819,
      0.52851124001277,
      0.609083263122439,
      0.632383964810218,
      0.602424513617345,
      0.675690804652983,
      0.696525967101802,
      0.596232550671182,
      0.597023825926928,
      0.692219184673756,
      0.624440803660008,
      0.636520787269498,
      0.712154200201648,
      0.603029601680576,
      0.674248343182948,
      0.630145283625451,
      0.626174793688281,
      0.578415762184266,
      0.481734276858258,
      0.622008515915965,
      0.633563666123406,
      0.564469583835051,
      0.628884335088896,
      0.533716297938181,
      0.650086605627861,
      0.560505876325889,
      0.565566672499293,
      0.668070769123558,
      0.617160599134398,
      0.606797999215965,
      0.532231331001463,
      0.595342766366332,
      0.520716643864252,
      0.560736815946833,
      0.636879220191702,
      0.658449801330537,
      0.676158544115953,
      0.691309465526179,
      0.695131404739804,
      0.623191983623468,
      0.638745841185857,
      0.693990029164964,
      0.615330954726914,
      0.669723698433219,
      0.614992941580407,
      0.642451421569232,
      0.599171048278257,
      0.609984902254013,
      0.680984945508502,
      0.586477078276993,
      0.603851558941652,
      0.514655000954096,
      0.522148600813073,
      0.580532196676767,
      0.639973885418958,
      0.617323976313071,
      0.542037104311848,
      0.660294174196433,
      0.576665794173311,
      0.674329067107898,
      0.525882852656227,
      0.531989195938637,
      0.536811793504612,
      0.538867064267837,
      0.48118681667808,
      0.514465136291172,
      0.430971677726952,
      0.440919744872412,
      0.476661737181804,
      0.490137577988796,
      0.675042358840443,
      0.528605291745474,
      0.530982767177701,
      0.373988012082173,
      0.573817630993573,
      0.395982079864678,
      0.578217252697513,
      0.488721641113634,
      0.480617753761759,
      0.602690139801946,
      0.428209933449461,
      0.431518810794637,
      0.431260419983811,
      0.356754605500637,
      0.480889051802483,
      0.435718638051284,
      0.579293573810803,
      0.532011998477241,
      0.497700727317904,
      0.632949509391402,
      0.564751867384423,
      0.602294789431596,
      0.628169529246047,
      0.600076829771646,
      0.654932823461019,
      0.669967142114184,
      0.628727297520943,
      0.696414436866394,
      0.698071677220659,
      0.629054784800238,
      0.62166283767457,
      0.686088787347228,
      0.500366007654436,
      0.567776107633599,
      0.621211529699223,
      0.586984510330047,
      0.498231498917574,
      0.512713704144564,
      0.645272216204683,
      0.654576299279271,
      0.423232699579567,
      0.576293927409694,
      0.626472935262934,
      0.492675343209377,
      0.429439826397379,
      0.530901238991254,
      0.631603762397665,
      0.511828247104848,
      0.698364340971902,
      0.669158998143091,
      0.650265184524644,
      0.687526252282367,
      0.653544498423582,
      0.634530430390165,
      0.610763446757742,
      0.667537499327402,
      0.599613599239158,
      0.663099333274187,
      0.560786624605279,
      0.662361363705648,
      0.613948430646473,
      0.522289476147992,
      0.638387504072372,
      0.588479846890021,
      0.559392989801494,
      0.563918508436572,
      0.548545535023039,
      0.665940142346033,
      0.541944332347985,
      0.613806123143808,
      0.715797230798223,
      0.630003764432878,
      0.658847553846415,
      0.560697772276806,
      0.648595134209014,
      0.594749385032939,
      0.692950164172094,
      0.674064370854699,
      0.58923525389488,
      0.631131410252432,
      0.675611336213313,
      0.598608791998161,
      0.693080246517612,
      0.726602656748191,
      0.669836888356487,
      0.583511537795693,
      0.734228450893496,
      0.643864444780532,
      0.638639770744127,
      0.528587697625648,
      0.585878449527926,
      0.605626234677126,
      0.578824017345481,
      0.497506000588878,
      0.63313910688769,
      0.51559149065265,
      0.556305270752159,
      0.652634979274513,
      0.576483707636931,
      0.606624278196447,
      0.643916955255221,
      0.621825923053391,
      0.704916131339647,
      0.551121084660382,
      0.689008548038356,
      0.752951604907979,
      0.760735943551077,
      0.786209027030812,
      0.696473748415574,
      0.613533572985948,
      0.697645172628384,
      0.731983287760568,
      0.691644255506788,
      0.666757103443078,
      0.698670550455032,
      0.696397283001768,
      0.544997456963592,
      0.516362723959687,
      0.630302520288797,
      0.660562848442336,
      0.66743994259196,
      0,
      0,
      0.478025852625946,
      0.414887117172322,
      0.485569689848917,
      0.499223986977275,
      0.513207503284509,
      0.520299521560029,
      0.558532982998284,
      0.487209074330976,
      0.436498518473553,
      0.402086598505737,
      0.376687140369325,
      0.480055474713128,
      0.444402365797342,
      0.534329339148605,
      0.443552270578124,
      0.544805536736991,
      0.326151744952211,
      0.448492592049882,
      0.375608588397162,
      0.366418352281357,
      0.517401196988162,
      0.418936023365364,
      0.48133181271325,
      0.470613358409017,
      0.40830188652749,
      0.446175001991475,
      0.421287968799116,
      0.467303856834575,
      0.45191576497435,
      0.61082564464137,
      0.562449556595921,
      0.661458216716842,
      0.581058968820607,
      0.701042129005585,
      0.673988122844959,
      0.599073778760227,
      0.669278861734715,
      0.586454053055823,
      0.629986521399363,
      0.548602963491749,
      0.512937009792947,
      0.511921621473503,
      0.607383481755121,
      0.620356511439296,
      0.724551595069105,
      0.56703406817101,
      0.631767177950242,
      0.523412074928515,
      0.575706215213595,
      0.581324909925186,
      0.590060941498651,
      0.626813914610839,
      0.517542054970746,
      0.600645189402698,
      0.576903894920509,
      0.462787533520575,
      0.471562920981975,
      0.663768287043625,
      0.611907951086037,
      0.635260995339758,
      0.594248906258548,
      0.600730976534505,
      0.511075761650008,
      0.604011369132668,
      0.68506385106823,
      0.683369564760386,
      0.514732835492327,
      0.650118501917972,
      0.583763453611084,
      0.502051875989047,
      0.605842331465194,
      0.587231465651481,
      0.642693292531495,
      0.552187502194113,
      0.67051308551298,
      0.582482333527506,
      0.557039569539535,
      0.523454839706755,
      0.61752670391937,
      0.597404836289636,
      0.581056443480948,
      0.542241622034407,
      0.461672847813041,
      0.573701919737079,
      0.593737004397046,
      0.634833594810283,
      0.536065018163707,
      0.612799914175687,
      0.608692256000293,
      0.612868991459311,
      0.626851450401701,
      0.672973011264914,
      0.60465854512632,
      0.685921588912183,
      0.67985562189291,
      0.589351835277527,
      0.593502947005716,
      0.639717641283383,
      0.626124780067995,
      0.588914364890544,
      0.620078614619015,
      0.58659530993269,
      0.51582123227039,
      0.532863127116772,
      0.627939672609344,
      0.63276624145998,
      0.475120063728661,
      0.58577545089604,
      0.60404008630487,
      0.498713627326609,
      0.417710420540506,
      0.601365186955549,
      0.58586056449956,
      0.511781694642481,
      0.67153242004018,
      0.634266081695133,
      0.658079793596709,
      0.533747350930179,
      0.658372347632164,
      0.611563608739448,
      0.517415311075099,
      0.663556591391243,
      0.650174960337056,
      0.493486916961436,
      0.478227486627722,
      0.608610688947875,
      0.478763831060181,
      0.457220103191696,
      0.583846979863374,
      0.590180928617809,
      0.487153747508367,
      0.435565923366737,
      0.548671582208938,
      0.714608808317475,
      0.646529204461542,
      0.532608813568076,
      0.532724282853995,
      0.616021319232795,
      0.597361335398442,
      0.589500774781932,
      0.5055116940023,
      0.448073516998202,
      0.638345305870834,
      0.651723818106365,
      0.597452172037882,
      0.606913639104414,
      0.615957722095916,
      0.63295869884467,
      0.699714425962209,
      0.669815082496786,
      0.647720165224658,
      0.563302230725906,
      0.709073701380644,
      0.617786775770927,
      0.685560825877069,
      0.575932015615741,
      0.56787749333321,
      0.683093339831282,
      0.59242958890143,
      0.526454053067772,
      0.554809394184047,
      0.517398872046601,
      0.586946411031954,
      0.664032131324039,
      0.625647854275399,
      0.550865683382198,
      0.642414544279908,
      0.576307785776112,
      0.696525711497227,
      0.582802791448564,
      0.638008471659876,
      0.621123891861952,
      0.690451775221506,
      0.59263454350976,
      0.524673755638458,
      0.606212008791207,
      0.637983914616717,
      0.622324915427245,
      0.646492344526903,
      0.671766004019442,
      0.669830050602684,
      0.593427467974881,
      0.633303105744369,
      0.51225376396495,
      0.584212226118322,
      0.607840741720733,
      0.659770749434561,
      0.633388309893898,
      0.517833644635562,
      0.57212407435654,
      0.617139756314208,
      0.508512006253603,
      0.57765283940308,
      0.584545814681883,
      0.569795149788605,
      0.578408980195997,
      0.641928894703354,
      0.655974230288085,
      0.625660095040484,
      0.636483742069652,
      0.620727714564307,
      0.595625684041282,
      0.521482978101273,
      0.645988992094305,
      0.606024507765382,
      0.586768625223372,
      0.612788018040086,
      0.681637580748677,
      0.560253781828195,
      0.662577859490264,
      0.637086837162068,
      0.470123961110463,
      0.565358722144998,
      0.606973692560481,
      0.662337309780998,
      0.539797407993465,
      0.522881096512602,
      0.606410175327953,
      0.641303193233041,
      0.497071763197349,
      0.478986338532957,
      0.623238113109937,
      0.497617071531638,
      0.538092895698159,
      0.511868664137882,
      0.537185813636587,
      0.467515310372781,
      0.691062627416092,
      0.628945530105017,
      0.657070719480864,
      0.554727054562431,
      0.651810691665953,
      0.66919928219331,
      0.545700668152364,
      0.657032059475493,
      0.626286525743484,
      0.65226886129314,
      0.618368840394834,
      0.612665503180289,
      0.582353133427011,
      0.5238207790158,
      0.637789201561914,
      0.551402236322743,
      0.615803685411549,
      0.527038573420697,
      0.55725455971472,
      0.611910462864156,
      0.550144257903251,
      0.606697010714455,
      0.591758316782861,
      0.56113529845108,
      0.605523872112196,
      0.568898667530566,
      0.530856847086224,
      0.414395011490564,
      0.660605598852916,
      0.619064359279692,
      0.559812791660467,
      0.512609161551035,
      0.67822400796271,
      0.499779714628679,
      0.667759232597028,
      0.738705715587138,
      0.656473656423304,
      0.529589365477691,
      0.64781044588127,
      0.553242964980156,
      0.482372566815953,
      0.549336216949242,
      0.612381941545642,
      0.568831811964206,
      0.51444508855443,
      0.571035562905377,
      0.620163707043497,
      0.539359136413368,
      0.473501942114151,
      0.648033604460265,
      0.582587099573761,
      0.519917075104005,
      0.568167658977363,
      0.536744409867708,
      0.580049312988825,
      0.579574393431373,
      0.67385733571014,
      0.621244759281621,
      0.674067727046467,
      0.665010549164376,
      0.633272616749366,
      0.644510722505468,
      0.623767983005149,
      0.631088972133511,
      0.662034583717347,
      0.565541495179675,
      0.643598493104954,
      0.503590789005362,
      0.585528577478948,
      0.580057618242162,
      0.567773020795397,
      0.603101826627522,
      0.608847245237611,
      0.556277004927385,
      0.720583054092785,
      0.607006336191379,
      0.651219504884044,
      0.478641884600073,
      0.683516788365843,
      0.616128854873675,
      0.581223362007919,
      0.617217767214845,
      0.649134522057951,
      0.617447682673973,
      0.573473208687076,
      0.645262534363421,
      0.65698836417757,
      0.579648822783287,
      0.570492732123076,
      0.679382505377615,
      0.584951902516864,
      0.628598169484463,
      0.695589073060721,
      0.581030322809756,
      0.65287328637957,
      0.621195040774448,
      0.620968991432289,
      0.576987367336051,
      0.441329462210283,
      0.620343921238912,
      0.627154466183883,
      0.579557368846619,
      0.623429576201184,
      0.617539530630091,
      0.671801760357871,
      0.530329802000585,
      0.559126737839718,
      0.640215599960684,
      0.601688095124529,
      0.622615895907687,
      0.603858656523562,
      0.609201096603344,
      0.541813328387997,
      0.532498320020534,
      0.618968180209928,
      0.599800282218728,
      0.652845027118993,
      0.666752132582325,
      0.684900216239195,
      0.626398114786494,
      0.622866623150299,
      0.657874938931992,
      0.608106581142828,
      0.642740847462839,
      0.584058594459014,
      0.648054944726922,
      0.607111554327523,
      0.616252813716454,
      0.651640783368022,
      0.569551889611247,
      0.56200357569741,
      0.508729362267703,
      0.531228759892449,
      0.608766250293358,
      0.647811612479156,
      0.640170726378141,
      0.599738004851937,
      0.694691287438394,
      0.586111764740451,
      0.677919223754578,
      0.587353342831408,
      0.544204585304782,
      0.518028550778262,
      0.529249842284308,
      0.464282479154411,
      0.475377054298866,
      0.433084124859338,
      0.436589584471114,
      0.459975833611741,
      0.485992758207097,
      0.642348787895284,
      0.568401861267296,
      0.481937611301699,
      0.35437104431467,
      0.474405861113317,
      0.394358435277437,
      0.545969252411892,
      0.549563833936991,
      0.511989164057575,
      0.544883346231161,
      0.387388730448714,
      0.400363468976716,
      0.440215713374572,
      0.403427185795108,
      0.417333303157616,
      0.49187490967852,
      0.567941580179787,
      0.550857707729214,
      0.542920197593794,
      0.603869782589355,
      0.539349708187144,
      0.564885768501569,
      0.598066345216626,
      0.582550088281857,
      0.622465774088222,
      0.659375891046925,
      0.582163748328941,
      0.661672431428811,
      0.689463307452254,
      0.601992883273636,
      0.596070680790834,
      0.629593885764395,
      0.469509885503241,
      0.49440311888798,
      0.613208663239388,
      0.553595867449843,
      0.501273394668923,
      0.499483138292575,
      0.658145181283294,
      0.651976981494582,
      0.426315558584816,
      0.558428205797238,
      0.632155564397944,
      0.501401627700307,
      0.500285047341629,
      0.561053865376389,
      0.588849224993278,
      0.494056137519782,
      0.701288665941937,
      0.634140536174273,
      0.625133599806079,
      0.662737854629259,
      0.639998149355322,
      0.631008871794927,
      0.583765356789942,
      0.660580392500613,
      0.583260117845521,
      0.646668366541088,
      0.575453784037152,
      0.644460848539154,
      0.57679990915949,
      0.517778483288208,
      0.635056120901944,
      0.618706206797352,
      0.582823209923319,
      0.557490771509849,
      0.52160366839845,
      0.685216915842004,
      0.528691607112604,
      0.620827652853955,
      0.65783538049931,
      0.593690320478719,
      0.667372614207187,
      0.603568327075484,
      0.626829897631815,
      0.602452640698415,
      0.66603152606804,
      0.620428704328945,
      0.606561000448179,
      0.583921103582924,
      0.653526447991937,
      0.598686703028316,
      0.697955756378212,
      0.702474033336817,
      0.657679038784657,
      0.575988644689925,
      0.724685809915325,
      0.621832727070227,
      0.651805666003645,
      0.543352447771184,
      0.57704543165117,
      0.638288371351903,
      0.558617578654728,
      0.516471492811645,
      0.567779214663874,
      0.526021982651753,
      0.613203409780248,
      0.655484454041352,
      0.618932235134056,
      0.594137443382318,
      0.640660883098688,
      0.658098303123301,
      0.649681734654472,
      0.594068933376449,
      0.664031390767887,
      0.722413491945693,
      0.741058505778463,
      0.766972798623329,
      0.680692330528349,
      0.590042145789452,
      0.69128126856587,
      0.708519988994414,
      0.616858779413712,
      0.639543024779484,
      0.667964542291988,
      0.63891863857593,
      0.442931064788958,
      0.449024672933303,
      0.640949243767512,
      0.656938966231835,
      0.677694154946979,
      0,
      0,
      0.352571077768338,
      0.448616256592825,
      0.33208027337562,
      0.322020047332558,
      0.313210068576626,
      0.470229743848862,
      0.416932088911919,
      0.337925149363731,
      0.318505592678811,
      0.330996080085444,
      0.356495766586434,
      0.367327960708917,
      0.567886215306508,
      0.57451425091344,
      0.537367909066753,
      0.588358830692653,
      0.464733694850476,
      0.444184907631876,
      0.598633609860539,
      0.591758066248843,
      0.614710790922801,
      0.527571867283889,
      0.542799402138939,
      0.468249087326012,
      0.419876362609721,
      0.555983781473654,
      0.598732475209461,
      0.555130277528902,
      0.465709788083102,
      0.476098883252362,
      0.435690030859098,
      0.50594477513263,
      0.416939691241446,
      0.454031643293281,
      0.442913094520638,
      0.550178653323246,
      0.548202855586159,
      0.514180277951455,
      0.419838853373585,
      0.439787908738527,
      0.463656066347038,
      0.553473284439434,
      0.641433804379876,
      0.544010596739761,
      0.644963430040615,
      0.546827224842724,
      0.61329236933282,
      0.552874722461124,
      0.615241440625553,
      0.559122450381225,
      0.556844791025296,
      0.591714116970634,
      0.56384215787096,
      0.53893118376511,
      0.505936192244327,
      0.394152491740978,
      0.516138210419841,
      0.440317715705454,
      0.562043911706894,
      0.471060607524018,
      0.517428283299995,
      0.507283841717247,
      0.43826881658064,
      0.513486894972094,
      0.637897052777104,
      0.505631111713864,
      0.460194704864164,
      0.504976477405595,
      0.519310891832164,
      0.55282340351242,
      0.673503958060032,
      0.503218926305982,
      0.581887351574352,
      0.498797650942131,
      0.659098421390548,
      0.590723911726822,
      0.580706540191249,
      0.472115372845712,
      0.523879032022452,
      0.567211236294315,
      0.588131548731679,
      0.587074296340062,
      0.550520073648018,
      0.59783386364671,
      0.546385259641579,
      0.516078292384581,
      0.524525894830083,
      0.463616675490892,
      0.559559748106937,
      0.463938529930108,
      0.575085529004689,
      0.47843520139817,
      0.563592151695682,
      0.436449422709711,
      0.54150857542824,
      0.476855729989893,
      0.438655627381166,
      0.623686726220969,
      0.672451780608039,
      0.635507062558334,
      0.527078882953421,
      0.589620446535757,
      0.477871615072385,
      0.500028634173779,
      0.610652888343916,
      0.659758768841471,
      0.514923323951287,
      0.584133347072537,
      0.439380062737728,
      0.498096259911729,
      0.485270291664575,
      0.563159272953769,
      0.546717808054562,
      0.347796443090748,
      0.536963128469385,
      0.554731037599972,
      0.551780056222355,
      0.433378832692242,
      0.465757948914378,
      0.462914273220609,
      0.351081223297231,
      0.422549524418531,
      0.571053466508886,
      0.479034803954735,
      0.326560058616235,
      0.556367486862555,
      0.511385387209189,
      0.499083355484033,
      0.523117422693702,
      0.51989515827758,
      0.549573483912309,
      0.384672082092014,
      0.553918359945421,
      0.563965469980393,
      0.63683974222489,
      0.517445062222063,
      0.559239606217774,
      0.445386737328521,
      0.524620201070355,
      0.564573212561078,
      0.541792638236678,
      0.510160568961046,
      0.495467667974797,
      0.626083358489546,
      0.543352010341473,
      0.525151062932739,
      0.559494236468611,
      0.515034902053587,
      0.541443416591208,
      0.528615182741015,
      0.612700997321737,
      0.559024373318621,
      0.629784198434325,
      0.508470713888499,
      0.652644240946474,
      0.500752343719459,
      0.516118905390953,
      0.61138888967458,
      0.593539338952834,
      0.540116307001858,
      0.558393468513769,
      0.518995901719759,
      0.581610668800235,
      0.58876534560681,
      0.663480351248851,
      0.596458012237464,
      0.637616490158659,
      0.576639592026614,
      0.646308481463997,
      0.521063888653244,
      0.447044467994191,
      0.602992584937572,
      0.63529940244433,
      0.483766552015293,
      0.514697269062718,
      0.549202365845042,
      0.521209144709024,
      0.443650533194326,
      0.509963167072385,
      0.673945933929259,
      0.585934373723531,
      0.513667468955599,
      0.604685923025888,
      0.55560810118345,
      0.510465477280615,
      0.557789295954659,
      0.560474234248975,
      0.572950177850813,
      0.509851825021997,
      0.558522601168216,
      0.610971676639292,
      0.503690600299469,
      0.472796977634751,
      0.589375474571525,
      0.572066093090385,
      0.594581972753856,
      0.615721389015408,
      0.5358867619134,
      0.479083721260559,
      0.478927655546145,
      0.462671461081708,
      0.411951260682543,
      0.417896979224265,
      0.583333689767795,
      0.546008078358502,
      0.423949498932556,
      0.45712985131827,
      0.440942187481403,
      0.542993325399807,
      0.491414725403075,
      0.566643772306317,
      0.539046514390938,
      0.558768262095488,
      0.552840203491152,
      0.631083195959765,
      0.478241444523765,
      0.514326391602683,
      0.574464726088242,
      0.54503654067185,
      0.582617666789955,
      0.523325618338337,
      0.537251709452988,
      0.480325198690321,
      0.48989319908368,
      0.587671518080155,
      0.526168149215009,
      0.486835945456235,
      0.649701960298195,
      0.462929374241268,
      0.457651889493976,
      0.353734340790535,
      0.503562268342185,
      0.532429273221767,
      0.509713086184545,
      0.512370458025944,
      0.44269975571322,
      0.566198922099928,
      0.528776211982404,
      0.453706981429371,
      0.579297218819792,
      0.574658787270901,
      0.578180474511433,
      0.603812155622336,
      0.596010879255456,
      0.483003953784461,
      0.494658424624822,
      0.603190629942405,
      0.556291624521637,
      0.61454124480093,
      0.613456957883254,
      0.530357151486108,
      0.473722756645005,
      0.485981100540788,
      0.468240248195908,
      0.513301542072158,
      0.552785455293141,
      0.579715289102209,
      0.366602031076447,
      0.528800695845975,
      0.503476788841201,
      0.379423092506907,
      0.530545565747628,
      0.724568767414054,
      0.596574973115709,
      0.475947233552,
      0.564669731895752,
      0.411738004840077,
      0.535349314496619,
      0.532794912617078,
      0.516709723293184,
      0.519991489121014,
      0.505914638668731,
      0.609242588097183,
      0.604468797243654,
      0.567083426174825,
      0.495056483264221,
      0.55077597180767,
      0.543781507087538,
      0.54319650454254,
      0.625109245173459,
      0.572705063093618,
      0.569344353959581,
      0.514118158600524,
      0.461922133107423,
      0.42013956107068,
      0.450521605500135,
      0.470477843842724,
      0.378153562589734,
      0.454791436718417,
      0.625446672852566,
      0.519213615025428,
      0.498818614760983,
      0.463798895572086,
      0.598212029991567,
      0.461340436145123,
      0.604071442565622,
      0.577936642763662,
      0.57533487605239,
      0.433760508110899,
      0.533734203900762,
      0.501564367865127,
      0.568519524452711,
      0.609037387397036,
      0.668569776372886,
      0.534212760475185,
      0.589248952472276,
      0.513352568097522,
      0.553239055397641,
      0.525145736498935,
      0.600696595001381,
      0.549302858621291,
      0.462309214827091,
      0.532240979266127,
      0.569811101416728,
      0.552502095298594,
      0.520799999286574,
      0.568312649393046,
      0.504245630735822,
      0.609570637511186,
      0.482747065673078,
      0.508836837202586,
      0.503708852899198,
      0.549254837874333,
      0.548919364063941,
      0.66930744810871,
      0.51975399857326,
      0.559440110362571,
      0.558399686218173,
      0.542585216394005,
      0.567071552167461,
      0.553965934723761,
      0.586157191169327,
      0.518428494656807,
      0.541234462741347,
      0.57668701817247,
      0.508896279218365,
      0.597746191492053,
      0.599646848897685,
      0.652093138526657,
      0.487638915021803,
      0.456330122426537,
      0.582595491277951,
      0.578614089561656,
      0.517716218440238,
      0.54029866155487,
      0.518862343128704,
      0.570232826884891,
      0.478311818921276,
      0.625678616375808,
      0.54446393041928,
      0.594512274154362,
      0.488320278626419,
      0.666219493354327,
      0.521174576249196,
      0.53565951522392,
      0.645089181094029,
      0.620489970031915,
      0.557801876106554,
      0.520299667117554,
      0.532168944787878,
      0.568723819357492,
      0.554861220009553,
      0.644992156230569,
      0.575552320629831,
      0.628723634641646,
      0.495210439020064,
      0.648230654229196,
      0.539092243117479,
      0.412332632654911,
      0.414448546759022,
      0.450166248977382,
      0.393878919138694,
      0.47050054486263,
      0.410596756006858,
      0.387344578178673,
      0.406636840374181,
      0.385054705206346,
      0.592624640758991,
      0.557710599050691,
      0.451844022422591,
      0.519845664418115,
      0.504955924499243,
      0.490594172475491,
      0.565615394829006,
      0.584478201625597,
      0.531055141675407,
      0.640672767515447,
      0.560099349212701,
      0.480849356672241,
      0.490532340101107,
      0.462700225579759,
      0.475104098878796,
      0.50439340809065,
      0.635925246370704,
      0.564895665950787,
      0.56870822599485,
      0.460558247308375,
      0.478607673142356,
      0.482467075136391,
      0.434254273544496,
      0.480696655359073,
      0.571658456402724,
      0.499577075476694,
      0.459182941141149,
      0.492738487824,
      0.519411555834575,
      0.423374047976779,
      0.458848012654331,
      0.580024662819131,
      0.577688113720038,
      0.5653015868155,
      0.524052147611843,
      0.474533790625255,
      0.462524366724458,
      0.512872680370817,
      0.607983677649471,
      0.621626589673761,
      0.540839306392426,
      0.56289831529177,
      0.493728515090091,
      0.494373142188613,
      0.525304686032415,
      0.582467222910167,
      0.56151506285888,
      0.387145699414735,
      0.534790754733129,
      0.60613993779391,
      0.548903192667748,
      0.536698638568072,
      0.559889723353202,
      0.491755756697864,
      0.506113932528031,
      0.468910604690245,
      0.468731344133122,
      0.536729792516273,
      0.574882836272944,
      0.542511260664788,
      0.680262878689125,
      0.482829204173141,
      0.558781532248121,
      0.596265363955921,
      0.571637380936919,
      0.550500375342143,
      0.580567071240548,
      0.601049503167347,
      0.594411218533718,
      0.556746298011578,
      0.652491812850698,
      0.564044957792308,
      0.582759597740104,
      0.524352411869785,
      0.624870270673585,
      0.522947421067774,
      0.459767597558391,
      0.562151350492347,
      0.565476436735379,
      0.516829925348294,
      0.578069055759101,
      0.553867284412662,
      0.525715732209252,
      0.506479972646882,
      0.583901437600051,
      0.529899988078184,
      0.632673081073852,
      0.497530090196484,
      0.62752225422778,
      0.517075938888248,
      0.525040368855129,
      0.626828188369511,
      0.565180363471334,
      0.549282585412139,
      0.551963237944419,
      0.528726101471134,
      0.589687938699844,
      0.578844522672961,
      0.63986992528607,
      0.606510676050329,
      0.661933058205319,
      0.597596049447675,
      0.610240550146519,
      0.528592614721107,
      0.473855832232281,
      0.539818424207976,
      0.488169343894132,
      0.448588463404232,
      0.422741003503598,
      0.461887905125028,
      0.403287159009144,
      0.478566642339097,
      0.490298353262415,
      0.4354251277413,
      0.456227506720073,
      0.4627768081811,
      0.48055923058557,
      0.486074925338018,
      0.459419068070202,
      0.346920888960933,
      0.487848614206724,
      0,
      0,
      0.480985994017657,
      0.505328367837336,
      0.304400818393609,
      0.361297520840769,
      0.35713452899528,
      0.469392370890686,
      0.520845767044236,
      0.469129399101232,
      0.463920157046366,
      0.365621628915233,
      0.372795380448173,
      0.367421257576835,
      0.617850151975869,
      0.625463783505693,
      0.511163562846214,
      0.551480304621191,
      0.461033488068277,
      0.388908303055397,
      0.564208390997756,
      0.556183722032951,
      0.563613172034394,
      0.494387791097652,
      0.508995918231071,
      0.426299918647591,
      0.425344878935586,
      0.521892252482835,
      0.560154397849524,
      0.518499191014985,
      0.454403333069541,
      0.446959514401253,
      0.457762940059063,
      0.516002656057759,
      0.434978177148687,
      0.47809197253997,
      0.39047645674407,
      0.515263333427478,
      0.471252962460131,
      0.465431831171385,
      0.461585510206856,
      0.494386548615567,
      0.498747023444379,
      0.536747325198382,
      0.634521584271568,
      0.521997891436117,
      0.588240292448525,
      0.518816931289406,
      0.566197599013427,
      0.519105169067354,
      0.612715531333363,
      0.539829557616564,
      0.50117675087658,
      0.564198692928692,
      0.509408748224614,
      0.535825002962699,
      0.483293722261673,
      0.37445454894622,
      0.498981132216619,
      0.383847944810234,
      0.571431778826984,
      0.477844257272419,
      0.558108349531104,
      0.478390464417777,
      0.48871556383825,
      0.470994508483395,
      0.443776182512332,
      0.463499118090238,
      0.462649972600303,
      0.657544426148477,
      0.429261752393665,
      0.579951445410107,
      0.631911978632075,
      0.473046257740345,
      0.56044631097258,
      0.501183893702578,
      0.574076735874295,
      0.563007363375416,
      0.542773515103907,
      0.52956681092404,
      0.504426863927063,
      0.44630225289996,
      0.463495902416183,
      0.579889319571248,
      0.525148623035534,
      0.548727450411111,
      0.545237803542441,
      0.426338116483424,
      0.441359412361864,
      0.403504357206982,
      0.553468162637529,
      0.447367582308518,
      0.494555093437085,
      0.544158243232335,
      0.603449199503791,
      0.434776958290331,
      0.476024367216207,
      0.451923628910214,
      0.394800377152306,
      0.608935932019833,
      0.695351702810208,
      0.573567352333168,
      0.48810883246749,
      0.536670195538492,
      0.458743153079502,
      0.477062263953716,
      0.636117544218567,
      0.631459137665495,
      0.527280844772324,
      0.659435739793381,
      0.439046909212559,
      0.453742384037452,
      0.496397516608823,
      0.536426729994779,
      0.500629193116703,
      0.410400927792537,
      0.542346074998052,
      0.48605663350783,
      0.435416454442085,
      0.292367823365756,
      0.448379070617705,
      0.49965842446611,
      0.513222171772157,
      0.438164669320272,
      0.517054592727275,
      0.435819298612197,
      0.295581204545431,
      0.572630417733206,
      0.550614865980016,
      0.561290168246757,
      0.519271994314478,
      0.621018106410074,
      0.553615543602307,
      0.382788594153528,
      0.518077366039191,
      0.546117839761351,
      0.60964595010734,
      0.495922722015314,
      0.514989603790534,
      0.431278698531789,
      0.534865070218448,
      0.548557287838453,
      0.519101176995955,
      0.494497544582762,
      0.491939068667462,
      0.50464071710205,
      0.561647319959736,
      0.519078893306754,
      0.542828195322172,
      0.526841420585731,
      0.542472660101424,
      0.539840911746753,
      0.624782279159011,
      0.526279850467136,
      0.564494038516668,
      0.517411676338484,
      0.633573610031165,
      0.537922373370054,
      0.493861773776891,
      0.590240538248195,
      0.580330998992753,
      0.54388628398775,
      0.550404437556118,
      0.510822196514832,
      0.537640338929673,
      0.558786485668713,
      0.639426826051534,
      0.586151472174974,
      0.647760576730366,
      0.508756165756955,
      0.586852107680022,
      0.55892150324973,
      0.46735898297105,
      0.520491808300081,
      0.631640994719549,
      0.499328059775906,
      0.550475550206074,
      0.598005331605885,
      0.486475126220879,
      0.400090216566742,
      0.491859492097753,
      0.63857398627815,
      0.562430999313929,
      0.524042130039399,
      0.584970367525968,
      0.558933326771025,
      0.508856877863064,
      0.531178832622368,
      0.543295435456515,
      0.590638756314306,
      0.521654093960165,
      0.556905910249593,
      0.56079984891464,
      0.555954991899528,
      0.444069905001996,
      0.591568798914879,
      0.549421283719529,
      0.573187047319329,
      0.59733681609277,
      0.507610415092971,
      0.533387550108695,
      0.537734988599964,
      0.501321835901457,
      0.349718759009587,
      0.445518422852361,
      0.595182955684196,
      0.566566679214903,
      0.51163020717965,
      0.495628507209975,
      0.51859737845401,
      0.44548064717924,
      0.398249181624142,
      0.567344067828946,
      0.575429669386406,
      0.521323077812589,
      0.48365345825528,
      0.669955413474125,
      0.515318629114208,
      0.482406735569199,
      0.528404332769551,
      0.562605766647303,
      0.624232569585531,
      0.553602885141105,
      0.466043650160103,
      0.519636712293511,
      0.456545419128243,
      0.544565734473499,
      0.513179342078171,
      0.467694491458416,
      0.519783954181252,
      0.491225353371542,
      0.45570044834622,
      0.268988456614814,
      0.384198888543342,
      0.587666492931402,
      0.506074821208384,
      0.595448009688433,
      0.459582748482426,
      0.549326437464542,
      0.469457166446373,
      0.454436982754866,
      0.499921130629811,
      0.546035671259991,
      0.433186231687981,
      0.605244238988921,
      0.581137188788555,
      0.45334659636105,
      0.504789167163317,
      0.599666749298988,
      0.521483528013004,
      0.571569249791182,
      0.596897030299367,
      0.565503601383648,
      0.495061608423815,
      0.463015069186353,
      0.413563829994433,
      0.483250724570897,
      0.494248091403826,
      0.58820443985585,
      0.40607506744842,
      0.636866550386802,
      0.468085093938722,
      0.472620164336367,
      0.547441895766974,
      0.492207361500886,
      0.559058766536921,
      0.492042638372879,
      0.524507683649257,
      0.454731926357416,
      0.523828539098583,
      0.499650251926621,
      0.499592007603885,
      0.504003866417614,
      0.462556865889042,
      0.586060565448193,
      0.574055574517439,
      0.551276648123556,
      0.476275790410003,
      0.514664492912965,
      0.508770853751261,
      0.504090980082696,
      0.578644830441943,
      0.519204170648501,
      0.579128091403362,
      0.542708894198599,
      0.453666321669067,
      0.390251939386596,
      0.490800988953151,
      0.506314686496506,
      0.429060783989127,
      0.49192079745527,
      0.627473681350352,
      0.480160210207749,
      0.440193433612333,
      0.390118275654499,
      0.611053217942313,
      0.452675218616766,
      0.578203618688383,
      0.589663323033838,
      0.51620749992304,
      0.479030268908367,
      0.549528169053632,
      0.472733596207192,
      0.569473350226202,
      0.590737049179261,
      0.653634288784548,
      0.570670356267871,
      0.484403341289639,
      0.479882183827814,
      0.511846998992355,
      0.494411327907439,
      0.615321210660675,
      0.501534777747896,
      0.425844206169884,
      0.565989850071987,
      0.557574963179267,
      0.557928930103026,
      0.499534878319273,
      0.562835933561416,
      0.520056889040172,
      0.541476947364978,
      0.458952119723688,
      0.5182834296972,
      0.46202646330147,
      0.548605700008979,
      0.549140960454087,
      0.666692693735875,
      0.492209966389477,
      0.54987815131022,
      0.5543264400371,
      0.519648984868108,
      0.580324512008995,
      0.564001494758391,
      0.545362528378845,
      0.498118549696188,
      0.543274838188387,
      0.522813089398664,
      0.552814602953977,
      0.540349237043271,
      0.553778411907901,
      0.643593328316716,
      0.509802358818485,
      0.474971568845177,
      0.502366892601658,
      0.57589877878547,
      0.504562133006007,
      0.524343204425428,
      0.544432701221122,
      0.560653752335303,
      0.544847332342858,
      0.669275281948319,
      0.511337692599898,
      0.551702758502426,
      0.524391603010277,
      0.662134567213522,
      0.513075284684116,
      0.552433249115552,
      0.604951106100053,
      0.617235233025867,
      0.56002020181377,
      0.506288867299752,
      0.534193334373309,
      0.536649187565242,
      0.539715829736216,
      0.603415919065553,
      0.56176499014954,
      0.617735480461702,
      0.507652980479076,
      0.582022069008397,
      0.5249896248838,
      0.428079944073337,
      0.424047092056335,
      0.53005774934951,
      0.421727399282546,
      0.551605466907585,
      0.437387231984399,
      0.38662223850971,
      0.424157040209903,
      0.382794923763254,
      0.674143190333841,
      0.491971576456738,
      0.508253420029329,
      0.579025310557007,
      0.509636631331971,
      0.458895279281134,
      0.54721499858997,
      0.50351120836764,
      0.531046615297538,
      0.60709237632418,
      0.51859839761234,
      0.429266429821124,
      0.425117584924593,
      0.417749353327398,
      0.518087120660625,
      0.47915340181045,
      0.587610714098,
      0.508393237944575,
      0.577233164719721,
      0.455080343331138,
      0.418177876957835,
      0.460679558217015,
      0.433996802297202,
      0.477443755246426,
      0.540214502263777,
      0.500124131599448,
      0.485257199652375,
      0.449821886612748,
      0.403377861376071,
      0.428475795781378,
      0.486505755282146,
      0.601516998036562,
      0.62489549640821,
      0.54503484301852,
      0.46452197805714,
      0.419241903271105,
      0.425558932259447,
      0.468577123542532,
      0.575697359312785,
      0.578289575095347,
      0.548265373145137,
      0.441028326472052,
      0.44475060839127,
      0.462926547853615,
      0.537719418614825,
      0.527593678266871,
      0.530917404453741,
      0.384532742461263,
      0.518654659607556,
      0.532545316776758,
      0.553248641867683,
      0.54760490633019,
      0.54946433477729,
      0.513521258255142,
      0.514612758260829,
      0.451841529556724,
      0.494312926417526,
      0.55287246004909,
      0.498581219578709,
      0.531685497680936,
      0.668291234214681,
      0.498068163450803,
      0.523400379924802,
      0.533273223798704,
      0.548815431360836,
      0.546507452276627,
      0.591632343332647,
      0.578507736744907,
      0.594793092885477,
      0.572253860381906,
      0.614593061649123,
      0.563427737829854,
      0.501928752929995,
      0.474113023357721,
      0.625385999101046,
      0.500958443859807,
      0.500779553095778,
      0.533811574377276,
      0.57782404623686,
      0.548244096873923,
      0.548851709840573,
      0.555080734353523,
      0.493236243710512,
      0.516563365049381,
      0.602629562817393,
      0.530335396449928,
      0.578495801519231,
      0.481637999975451,
      0.622292118637662,
      0.555964429497367,
      0.488436860973248,
      0.58943342308084,
      0.572963440790121,
      0.558724146136095,
      0.55043406066718,
      0.511724435788294,
      0.558584694928566,
      0.543165369762581,
      0.628409579085106,
      0.609208611964187,
      0.643835180199124,
      0.550483788677713,
      0.587941414555924,
      0.557795348064745,
      0.469205112442689,
      0.487724807548822,
      0.453021603055036,
      0.375691497310771,
      0.425095072164598,
      0.440672193996974,
      0.401256766709032,
      0.436203461043201,
      0.471486896610443,
      0.384884766944693,
      0.457718777949124,
      0.479460707104061,
      0.431717151515926,
      0.489218032531544,
      0.506971819475493,
      0.420368399919526,
      0.540646425557208,
      0,
      0,
      0.605315868038983,
      0.44599980872793,
      0.354458673995053,
      0.388721322183015,
      0.433569632491362,
      0.517073004600372,
      0.660825719279035,
      0.568105647443869,
      0.518917439704931,
      0.421246966651162,
      0.427050735973732,
      0.370291935635604,
      0.425049562554226,
      0.563317040941183,
      0.42286917108838,
      0.566334254443298,
      0.504381040023795,
      0.439669924513718,
      0.357391107355072,
      0.377826158896637,
      0.497965877241574,
      0.391084829031764,
      0.556469371518931,
      0.464659524783629,
      0.446715335511685,
      0.411678802223771,
      0.43388604667335,
      0.479616928707308,
      0.464921840709123,
      0.569669858182618,
      0.596798584270018,
      0.541278050378818,
      0.402345484690168,
      0.494968071783698,
      0.442070072785666,
      0.54599230289674,
      0.589139667469191,
      0.543640630998493,
      0.562957339638898,
      0.485729827703719,
      0.510131709673244,
      0.477380171798918,
      0.570590887873552,
      0.549053216216539,
      0.588368827319175,
      0.508985307775531,
      0.506056168336639,
      0.477824231921967,
      0.540332770407048,
      0.501024998714085,
      0.535651007343743,
      0.593962647719938,
      0.411355652163845,
      0.56074108631141,
      0.570080795318848,
      0.413713276862083,
      0.506877085340482,
      0.39096657857609,
      0.555187654200324,
      0.616099936551427,
      0.597693865461631,
      0.552268600201762,
      0.471324264214802,
      0.556392623878397,
      0.473381167604226,
      0.503350239128238,
      0.511705432233841,
      0.706705235047003,
      0.421801339008001,
      0.416756184065865,
      0.612768410499562,
      0.449790672324735,
      0.544251024072067,
      0.478992173796013,
      0.54338914315183,
      0.438446127583277,
      0.59859872318048,
      0.58585047224401,
      0.467756019075853,
      0.418099294966795,
      0.502634154908204,
      0.565880482867518,
      0.461250440840646,
      0.507385663981196,
      0.570374113219103,
      0.428759272343355,
      0.435485851452789,
      0.438960426355073,
      0.525836606283252,
      0.554681196919486,
      0.582261600997994,
      0.570033278549883,
      0.555746225311931,
      0.477724454493382,
      0.529349486598802,
      0.43780269148052,
      0.50801379877177,
      0.590438804060707,
      0.667244365744979,
      0.558149430931636,
      0.475623918491975,
      0.474569012205496,
      0.410723821347037,
      0.485375110786992,
      0.62182919109523,
      0.547271960324785,
      0.602403700536438,
      0.561784327738952,
      0.475620713446021,
      0.328225960341773,
      0.550450611481763,
      0.542270234773715,
      0.478203406006392,
      0.53779893968914,
      0.568884606394684,
      0.47740248181957,
      0.443184819267448,
      0.370716279122809,
      0.505910017027968,
      0.556939107957269,
      0.56671261810915,
      0.532174086514649,
      0.499914450522118,
      0.411436550714188,
      0.388297477769031,
      0.461859722770199,
      0.441215912068633,
      0.590588640191506,
      0.530705279559149,
      0.610103107309803,
      0.509747058619167,
      0.413042167525368,
      0.5854178885032,
      0.533518221873084,
      0.517655074173096,
      0.539307784738692,
      0.504129258629758,
      0.523645170966759,
      0.549064813931475,
      0.49595205973028,
      0.529110562353499,
      0.448947786564278,
      0.623077568509625,
      0.566263145992631,
      0.584413056448103,
      0.532857860991826,
      0.541852656493112,
      0.522943660300635,
      0.576235958397304,
      0.605842191763266,
      0.646930308048341,
      0.557035754033242,
      0.620994653837724,
      0.501486797913314,
      0.586177633738393,
      0.511018530227959,
      0.414163753059244,
      0.583561959638685,
      0.576548345420368,
      0.503675390267617,
      0.550424059670583,
      0.540005116035865,
      0.57914619957181,
      0.509270427150008,
      0.595603033406431,
      0.570515621433491,
      0.655824943273619,
      0.527043587413323,
      0.573930330612453,
      0.527436111160931,
      0.445769577622657,
      0.504154103788054,
      0.661064741527849,
      0.549435580665206,
      0.559830029974238,
      0.589421897325123,
      0.463315250026287,
      0.459296546671872,
      0.512634004276939,
      0.649433140380657,
      0.569672364951418,
      0.513019512516586,
      0.530968865878279,
      0.556534415339037,
      0.487445410061631,
      0.496999702740986,
      0.48434806486251,
      0.570131212481531,
      0.497385931039328,
      0.47749472651227,
      0.562174299228078,
      0.549618181315623,
      0.549565413153639,
      0.571472184622058,
      0.566222750401948,
      0.588596368074195,
      0.61622486204019,
      0.573227578512878,
      0.480514182603455,
      0.489593072314728,
      0.524022368604597,
      0.40775651248109,
      0.478301479271229,
      0.621718943597276,
      0.654992575728238,
      0.497813155149931,
      0.537233927379444,
      0.525667990410459,
      0.31391385535639,
      0.515284534551633,
      0.524351853044577,
      0.51171653794804,
      0.376564872058311,
      0.510847488721891,
      0.730957739193165,
      0.565475972221184,
      0.440218063868963,
      0.457335121196077,
      0.661288457655544,
      0.64860954817172,
      0.534018171813285,
      0.511208426267668,
      0.395826623797753,
      0.460325949558847,
      0.542460019928053,
      0.491533048916442,
      0.512000344439861,
      0.574690007868874,
      0.559803926042111,
      0.410511978653418,
      0.324911448656638,
      0.48455585986083,
      0.57006260328943,
      0.576240601318913,
      0.558238844695828,
      0.561181366005821,
      0.520129029573464,
      0.512021338152816,
      0.391691338962551,
      0.383778491171752,
      0.526058568832065,
      0.497569025791585,
      0.791289968610853,
      0.634633975914313,
      0.514321599533357,
      0.551850973120756,
      0.50164499453537,
      0.427762242288388,
      0.577573506665843,
      0.587729867445481,
      0.488898800389419,
      0.541942200089614,
      0.467006228026582,
      0.323204177624195,
      0.503033844461151,
      0.485471720741287,
      0.600421507754993,
      0.53913384883139,
      0.673196994812797,
      0.552056196039173,
      0.436242971360874,
      0.546992991112937,
      0.479974434403467,
      0.545314389102355,
      0.511041125617063,
      0.605018212207543,
      0.462676308848135,
      0.407436488699262,
      0.602205414071678,
      0.534059865732763,
      0.464092201419683,
      0.474356973268712,
      0.484902284177796,
      0.508865102146292,
      0.570108344182829,
      0.576134989243848,
      0.610099163730176,
      0.51554339441461,
      0.48932803994321,
      0.511276386030726,
      0.504698843461484,
      0.563701361947104,
      0.614459712610017,
      0.407734737403962,
      0.397929971369272,
      0.456102496005585,
      0.565038144375578,
      0.553022837243285,
      0.581767087860469,
      0.619543825481905,
      0.429316252347401,
      0.414295568541943,
      0.439990308448524,
      0.576055253281229,
      0.422352100672881,
      0.532937188215087,
      0.580618519325418,
      0.469535185130821,
      0.500410772723315,
      0.489135957218342,
      0.468559011239114,
      0.624885510534549,
      0.581583808526145,
      0.61835446908003,
      0.652172879561311,
      0.545331068010692,
      0.484470702700164,
      0.431043998584159,
      0.584895140397779,
      0.602672096770213,
      0.520242170076488,
      0.540641005552822,
      0.516448210857334,
      0.610600443402569,
      0.571586921249252,
      0.537134719335969,
      0.575914988990846,
      0.61915523118712,
      0.585258426413035,
      0.54393019190318,
      0.522062817404679,
      0.651277188403508,
      0.604654456087741,
      0.544020188000111,
      0.603287577771049,
      0.455788047937982,
      0.547675773057541,
      0.570182567897839,
      0.58469155087894,
      0.5367924531438,
      0.586595972046767,
      0.547638751338732,
      0.431250593541513,
      0.615035634883393,
      0.488721722828299,
      0.545362934057391,
      0.541856756593398,
      0.494041220185908,
      0.581457109466877,
      0.513983023802764,
      0.62389377509744,
      0.590716961889985,
      0.593315493136988,
      0.538362588354749,
      0.548810446035911,
      0.565600842137713,
      0.569138966657917,
      0.664861729927067,
      0.671542307092244,
      0.567580510830104,
      0.625917129167669,
      0.495175177351648,
      0.580755410326054,
      0.474581781907845,
      0.536929519720756,
      0.669617195410454,
      0.570461583580377,
      0.577575495001459,
      0.506970140150497,
      0.54188663988877,
      0.478160247043092,
      0.548450360344754,
      0.606667858662905,
      0.529229357589277,
      0.607751156429129,
      0.487826464776101,
      0.626186396054188,
      0.517491366700903,
      0.373679854396531,
      0.556873288120876,
      0.656187248635352,
      0.577406393872434,
      0.565074163974057,
      0.412394818574489,
      0.426969788492497,
      0.333036219382637,
      0.340535556172585,
      0.557523949184215,
      0.528362408341733,
      0.474844184397432,
      0.35637164745854,
      0.487290076711325,
      0.354250449303975,
      0.498073764951654,
      0.565809616738467,
      0.626423373408269,
      0.473741989663542,
      0.497591599089384,
      0.468039126947859,
      0.430473446614198,
      0.350039896212203,
      0.460892091105414,
      0.489251973469898,
      0.518937916030844,
      0.541891796241438,
      0.615761271324836,
      0.438732724864523,
      0.481466148685111,
      0.415748089654298,
      0.417792226352486,
      0.557564092057976,
      0.605971683866841,
      0.546256060481017,
      0.482124422237171,
      0.426651429979494,
      0.485237302459107,
      0.41133668643734,
      0.474812978084292,
      0.594130006305825,
      0.565593783500748,
      0.447611594397294,
      0.477806535692663,
      0.405042039769922,
      0.349548877698274,
      0.459393553001501,
      0.549187512528516,
      0.529232953754556,
      0.516361074616193,
      0.472050908690521,
      0.514126591462409,
      0.461895730755125,
      0.529483654570572,
      0.547498354984217,
      0.509334715248634,
      0.529374613661006,
      0.580793114696421,
      0.52679091713443,
      0.607983834557056,
      0.536672524131412,
      0.567037718360402,
      0.538826427933515,
      0.535905909464801,
      0.563193416375471,
      0.523479214445523,
      0.571759159057898,
      0.526631936581122,
      0.470474871323032,
      0.536816585730638,
      0.464078796163402,
      0.586700152054595,
      0.442621895813094,
      0.555490594544817,
      0.531268249226186,
      0.583760992273106,
      0.549340434815667,
      0.544505086878913,
      0.643609468327296,
      0.604041850523141,
      0.58467578264159,
      0.558506844764456,
      0.47681748022692,
      0.622953745395096,
      0.482015960161091,
      0.58879950551555,
      0.568754619047035,
      0.594432268327696,
      0.560192714463829,
      0.531835271805658,
      0.527906945905412,
      0.548481272363431,
      0.581461218996144,
      0.642826373435097,
      0.541236417511342,
      0.635206629830578,
      0.454007453706129,
      0.600218469907263,
      0.502913651900686,
      0.423708909707165,
      0.541602413580356,
      0.553628591194404,
      0.527553704589745,
      0.559998710387233,
      0.525137638357665,
      0.572137105365234,
      0.49269792195868,
      0.559186355119481,
      0.588959585712619,
      0.646060466152543,
      0.528057717322213,
      0.573535001307113,
      0.53377529991997,
      0.515290797309752,
      0.467728940392885,
      0.4486068512828,
      0.380290932703149,
      0.458809482705599,
      0.456633719464749,
      0.428312160616482,
      0.428318248793922,
      0.549823419370103,
      0.390385125825673,
      0.464178982657191,
      0.488372899966902,
      0.41288978642067,
      0.47339118128685,
      0.468107369937564,
      0.379949627409996,
      0.500889223748943,
      0,
      0,
      0.514331295685713,
      0.358662796838878,
      0.418550252196311,
      0.494809731021623,
      0.467641719111023,
      0.497806393170005,
      0.563130243771898,
      0.467711865701348,
      0.428420218323612,
      0.35111586514117,
      0.348908298045504,
      0.500915438039756,
      0.38639191641674,
      0.611309612554205,
      0.439660733486879,
      0.619303948201791,
      0.38430747135762,
      0.422117439896212,
      0.388360955242725,
      0.406602686782647,
      0.537723716452214,
      0.429490040975575,
      0.595377870636621,
      0.465762439593277,
      0.437003077560252,
      0.417241607085489,
      0.450585080293946,
      0.49607710984725,
      0.50089894276612,
      0.567700516253144,
      0.529567108317957,
      0.637137703552721,
      0.45079263064601,
      0.502324562870623,
      0.491903475554275,
      0.519282391448204,
      0.586652814663934,
      0.524253997618209,
      0.484141949327341,
      0.437192182354079,
      0.440207783351584,
      0.529010675743065,
      0.597562301122692,
      0.577605938392884,
      0.584537975086945,
      0.529371432939575,
      0.512138324794608,
      0.448937072695027,
      0.572640422550208,
      0.501551764710499,
      0.502929695329135,
      0.52971213741437,
      0.446016352612293,
      0.53523903150933,
      0.553655400028036,
      0.402861813598592,
      0.468813974040277,
      0.488932962979319,
      0.52239373081577,
      0.601323244974143,
      0.603183411234204,
      0.534727934847314,
      0.490863331649091,
      0.613030582901387,
      0.66619896629026,
      0.493635814367753,
      0.463574902819219,
      0.513463870324216,
      0.402737408757116,
      0.415302225043538,
      0.689278440508792,
      0.493817168563023,
      0.569528456884082,
      0.490609567228274,
      0.637443794083792,
      0.449506806994525,
      0.616209265028088,
      0.580342078570174,
      0.50660525628307,
      0.405258640573542,
      0.578323204693394,
      0.577197950475384,
      0.473115782833403,
      0.509472396243356,
      0.586526112641684,
      0.40254497197208,
      0.445246579995977,
      0.445019676478853,
      0.544152276558416,
      0.532804242180304,
      0.504573265652927,
      0.559422906865486,
      0.578345089893204,
      0.476836938657206,
      0.542111983928613,
      0.470558706629824,
      0.49963982356509,
      0.590117957623865,
      0.624356210229715,
      0.542474147120482,
      0.44633277458569,
      0.525875301432752,
      0.454963925941064,
      0.473067663313392,
      0.533554102741235,
      0.526627367082222,
      0.556750384938778,
      0.540329351095011,
      0.463344701005161,
      0.386476624778852,
      0.480039242918975,
      0.564870878745641,
      0.48456622213094,
      0.462742893219605,
      0.528384954585427,
      0.532841361388447,
      0.464421234469713,
      0.376384537189321,
      0.546105175301343,
      0.515607810807742,
      0.468284479260626,
      0.497925568483799,
      0.48656809296543,
      0.394588595151672,
      0.404245760727146,
      0.506276937236098,
      0.491877098657486,
      0.496343300149434,
      0.571547026853041,
      0.552649700172588,
      0.488465910983014,
      0.419237327220772,
      0.589771467079389,
      0.615262179861277,
      0.519838573224044,
      0.568879128381374,
      0.529002244065351,
      0.569940477296594,
      0.489529486185189,
      0.433706775946505,
      0.445592150627423,
      0.469600833971219,
      0.583220996823991,
      0.581285342138693,
      0.571039267925206,
      0.543401013761563,
      0.554712246941243,
      0.530640226491004,
      0.593126264120568,
      0.515351455128947,
      0.635143292551524,
      0.537546546991782,
      0.543911031623513,
      0.505042964268029,
      0.573448877732448,
      0.542401151637341,
      0.439228343863536,
      0.555476742589054,
      0.559533666114519,
      0.501795613056686,
      0.557556495505027,
      0.525154420264643,
      0.623031081583762,
      0.415076655870616,
      0.595131290151278,
      0.572184617991716,
      0.624562765680411,
      0.536642685191513,
      0.590763802518194,
      0.55584765332609,
      0.44178592682549,
      0.542385297206118,
      0.588262687201186,
      0.47918544603769,
      0.542191589506304,
      0.54191788223737,
      0.536784482666147,
      0.452242979171049,
      0.49774799758695,
      0.62177948765512,
      0.615372209178494,
      0.553028693965957,
      0.594374244459327,
      0.571739516935075,
      0.475815061910516,
      0.509604309742153,
      0.472178256476159,
      0.540366273896406,
      0.449038895504907,
      0.536653706979169,
      0.574492489326707,
      0.517409641640257,
      0.537751649720601,
      0.585729509807657,
      0.55099739135012,
      0.591788414794666,
      0.654031945907623,
      0.589758229404547,
      0.489613639275506,
      0.50103289268709,
      0.461883637815572,
      0.470351973632336,
      0.478041391328136,
      0.565920747866578,
      0.597199777029428,
      0.397633103799258,
      0.454682357913631,
      0.382103619201862,
      0.362329532071575,
      0.680434406265609,
      0.578788219273524,
      0.574189869127727,
      0.445680669033011,
      0.551812773918834,
      0.740460959139817,
      0.511051146371823,
      0.481286517630732,
      0.498202536052373,
      0.653728625268978,
      0.514217778196887,
      0.509377888689964,
      0.4955859040361,
      0.340856906433488,
      0.40035415686123,
      0.531060468873389,
      0.510879171527435,
      0.497548994312195,
      0.529298316760309,
      0.445611394511602,
      0.469712854999788,
      0.372049652771606,
      0.518645855129705,
      0.577216185645914,
      0.491943738386159,
      0.472528247977357,
      0.468355867660421,
      0.476371086313408,
      0.743484858865902,
      0.569379347339906,
      0.444457268819057,
      0.566513219768596,
      0.608857972854609,
      0.74640071274761,
      0.602553633724956,
      0.475780723243049,
      0.5068532428275,
      0.50047850220067,
      0.509360276531095,
      0.61850358032612,
      0.548054702965435,
      0.488373743749498,
      0.509857969541317,
      0.436661464670153,
      0.395181072554696,
      0.476834316216851,
      0.479383328084052,
      0.58102503554311,
      0.542519093288868,
      0.606833797292756,
      0.583461818485587,
      0.448801818932534,
      0.54705279506315,
      0.511931373677526,
      0.570502461787807,
      0.454746966502297,
      0.562811965368918,
      0.592547394367002,
      0.481186931086595,
      0.642787930216946,
      0.529458010073397,
      0.478436593292642,
      0.454074344880573,
      0.517134203349876,
      0.585210284476913,
      0.573698678970909,
      0.533129878392791,
      0.638908881938471,
      0.497601009776242,
      0.554248618846452,
      0.563555831315116,
      0.525555764546524,
      0.492270102323769,
      0.598114255509204,
      0.413043381355269,
      0.46793145906321,
      0.46941396513984,
      0.547806031997217,
      0.553075726288278,
      0.50137450679736,
      0.652755528452016,
      0.465577002651305,
      0.417349675497594,
      0.469571643947739,
      0.623686451597694,
      0.414919755091842,
      0.547080404482196,
      0.590373559179079,
      0.534153841082265,
      0.452645318837793,
      0.453392365957826,
      0.504601921401821,
      0.740199050796937,
      0.611693710041997,
      0.599097948487386,
      0.550912470234652,
      0.661808448069049,
      0.539091832435573,
      0.427874845324125,
      0.575821720498277,
      0.672487035707922,
      0.540572630707415,
      0.478866600474828,
      0.527585976086972,
      0.585897874960548,
      0.568959982306746,
      0.530283868008394,
      0.557804426592438,
      0.587164040256277,
      0.62884002822105,
      0.540840824102876,
      0.512717399762434,
      0.633825230999588,
      0.525384241716829,
      0.553788111581545,
      0.583059368651236,
      0.472452859398383,
      0.595363770995097,
      0.516968778232713,
      0.568410038834128,
      0.591453991192061,
      0.613256645275435,
      0.53487143710404,
      0.478903879570351,
      0.633710559770794,
      0.487972074277936,
      0.550666644811941,
      0.563418038622241,
      0.613553294549434,
      0.518307147687387,
      0.503946815113161,
      0.613470862133887,
      0.528147750233154,
      0.561819826451242,
      0.508138487979242,
      0.562190571766778,
      0.582329052746877,
      0.566046453890201,
      0.573470784898669,
      0.687175316483091,
      0.547221102992518,
      0.591681785093099,
      0.530179867483425,
      0.550448828363548,
      0.521728522073521,
      0.516660707287005,
      0.645320138624177,
      0.568425033014983,
      0.530148215810253,
      0.498415338845447,
      0.595470357639424,
      0.541246634211147,
      0.465304450559752,
      0.570048133996179,
      0.550934232658128,
      0.57583798482557,
      0.517420807304007,
      0.582936724054251,
      0.555373554904355,
      0.46367832435078,
      0.520299903304687,
      0.567219749881028,
      0.45317451396745,
      0.505801611062351,
      0.405087571958938,
      0.42597553784686,
      0.369615507745547,
      0.416392198679202,
      0.640702468587131,
      0.563455900605195,
      0.506761606748054,
      0.32590015661367,
      0.456413034044058,
      0.361210723095841,
      0.545902094168142,
      0.557861767437772,
      0.541280051709777,
      0.52363529389913,
      0.504536443435771,
      0.424862185172813,
      0.445658420121096,
      0.405260843386596,
      0.385579296948542,
      0.466519790583046,
      0.520864887343199,
      0.567491376577209,
      0.581859009493286,
      0.41661489912128,
      0.462117735300295,
      0.489227354791097,
      0.444541121327142,
      0.51421993528662,
      0.556955151139871,
      0.532234885890237,
      0.465329862757411,
      0.438185227605576,
      0.482625876090376,
      0.371104283469566,
      0.536313311713727,
      0.561836212398625,
      0.584701835462553,
      0.429710897191022,
      0.46915011886847,
      0.433150988086936,
      0.353826821865311,
      0.52598587431378,
      0.552989154973265,
      0.550424582992249,
      0.433667093146238,
      0.450477759677798,
      0.458297489690312,
      0.414044837084709,
      0.503124314040911,
      0.548894629395832,
      0.519833855911307,
      0.44926383881348,
      0.493543321474446,
      0.502344260267455,
      0.60130080045473,
      0.54932299094228,
      0.594068042997223,
      0.53606718320748,
      0.566156099625092,
      0.569880169653286,
      0.471646829334561,
      0.590139632824814,
      0.545076622456557,
      0.562726766883933,
      0.500068142472312,
      0.478006668640298,
      0.607004499982996,
      0.522735261473385,
      0.54647706341565,
      0.531851094042686,
      0.591901920407232,
      0.529412233839817,
      0.493041523116568,
      0.622057168781196,
      0.651717965286318,
      0.544933592318681,
      0.575609928823387,
      0.546841067967843,
      0.560993946322271,
      0.497753252743918,
      0.502734086846799,
      0.573964800566772,
      0.544799236457499,
      0.540373978065962,
      0.522155905705286,
      0.538669324816811,
      0.597440539164285,
      0.498323563224129,
      0.62941949269062,
      0.531826529408587,
      0.556498355940817,
      0.520866833665731,
      0.565588722784719,
      0.563711942927641,
      0.428262431206644,
      0.564039236365285,
      0.514285144786906,
      0.50555421057987,
      0.564990031324272,
      0.557757690905728,
      0.641447759085548,
      0.434408403653732,
      0.59734372275585,
      0.588938509840417,
      0.65782616441716,
      0.520290665449477,
      0.587794103910233,
      0.520061091870544,
      0.524094891712478,
      0.4870383429089,
      0.459895357836583,
      0.403492112622112,
      0.462826133511277,
      0.475540196186062,
      0.454843259909972,
      0.486601128510878,
      0.536873916370166,
      0.416233183654092,
      0.457847051443312,
      0.475523910978194,
      0.386961973264052,
      0.480742062975121,
      0.44923106660096,
      0.409070170737312,
      0.494058868894863,
      0,
      0,
      0.355015407497302,
      0.272067962953159,
      0.275042729521032,
      0.286915595570063,
      0.394309704886303,
      0.46060531584374,
      0.404995788042093,
      0.351653467546158,
      0.316148782105081,
      0.255587287009672,
      0.267019341409399,
      0.347899807277224,
      0.399483483512302,
      0.490052748316048,
      0.424504247150713,
      0.562516225020136,
      0.351837583684061,
      0.39298740246355,
      0.442106681745485,
      0.536728841674228,
      0.494388165672198,
      0.380222553549413,
      0.565482424203077,
      0.441348170805001,
      0.42632400458635,
      0.412246492815218,
      0.479083633051913,
      0.446867535771254,
      0.463510974211083,
      0.547695971794154,
      0.478762573442561,
      0.561473009412638,
      0.404212860581765,
      0.43310992996119,
      0.43566465167155,
      0.505979836259304,
      0.611321955727213,
      0.529038175285197,
      0.50068084567904,
      0.47094098682465,
      0.402616198152747,
      0.525808633969448,
      0.575849302651437,
      0.562176496194023,
      0.609212956752521,
      0.447838439963011,
      0.530417870356975,
      0.5008731997289,
      0.466022210171275,
      0.525284591981007,
      0.500891441580315,
      0.578140681136732,
      0.443680473037665,
      0.493553838585948,
      0.499242866677133,
      0.374552877204278,
      0.446473119753157,
      0.459721275799984,
      0.547633192056257,
      0.484624019570152,
      0.552745874931938,
      0.507413302586686,
      0.468460846194318,
      0.619782655672408,
      0.684307697584515,
      0.452219597649071,
      0.488045728965891,
      0.45241531191332,
      0.420573979160079,
      0.490454578846371,
      0.742614234305464,
      0.485503843720325,
      0.624554946910684,
      0.507277782799677,
      0.620557710679562,
      0.538028303571207,
      0.513014072922322,
      0.492978294410724,
      0.528110002685431,
      0.471528606169591,
      0.541843239116155,
      0.48045216617283,
      0.420212348061654,
      0.517865517078729,
      0.591993737199903,
      0.36496244843347,
      0.453582473219344,
      0.466645578048282,
      0.601960184737238,
      0.50009545977533,
      0.489179123740815,
      0.586016687638881,
      0.620665627509378,
      0.56232790977242,
      0.591335385293629,
      0.453018818312525,
      0.501944627552479,
      0.537591068238035,
      0.620776242942532,
      0.655288787280542,
      0.474902213794258,
      0.500215409328537,
      0.519976722093874,
      0.488480907818399,
      0.559404463420607,
      0.509385304296357,
      0.483221480374308,
      0.536504488919154,
      0.488998195426382,
      0.373816249768142,
      0.443287958738488,
      0.528090288981853,
      0.561982906326311,
      0.338092109464946,
      0.481388003283858,
      0.542965505890843,
      0.484522217563903,
      0.368151230039394,
      0.596079079248923,
      0.506479018216336,
      0.458459935385673,
      0.468102276480552,
      0.525660730217566,
      0.393825678787904,
      0.32736770656809,
      0.563084183031454,
      0.50835873166773,
      0.513359928902014,
      0.533358437409752,
      0.47980939006759,
      0.569474391487221,
      0.389251103499079,
      0.492948515595486,
      0.643472671008169,
      0.542685677572699,
      0.565065726361524,
      0.529760044838615,
      0.491871898092358,
      0.55498450453435,
      0.405412991564426,
      0.47243126390959,
      0.501864475973934,
      0.442170209330442,
      0.509362447613676,
      0.55639526405146,
      0.567538307237514,
      0.541218517895013,
      0.539180049787637,
      0.579683627396296,
      0.50871411016738,
      0.625103394937032,
      0.55961719692486,
      0.586890212996272,
      0.488928455413621,
      0.582897751989595,
      0.513585478716783,
      0.497186306518642,
      0.568623988971281,
      0.557517552909987,
      0.515451985551164,
      0.597494860504069,
      0.503904754524017,
      0.63251581558155,
      0.478680457081258,
      0.613363184050022,
      0.568295274419273,
      0.618397641698983,
      0.468155497859124,
      0.565716636796202,
      0.503416185518386,
      0.443949852592148,
      0.65860321695456,
      0.608924924817216,
      0.510891755427603,
      0.51295270177965,
      0.598889151444479,
      0.566106723274836,
      0.404414607528397,
      0.486338960142372,
      0.600340195934901,
      0.586760344493796,
      0.49681492678511,
      0.545406373292515,
      0.55242047688944,
      0.564825667593192,
      0.476982597005867,
      0.508923767293105,
      0.567353246056632,
      0.5038736304642,
      0.563455351170091,
      0.462904036957147,
      0.51607121367429,
      0.469631612149153,
      0.56831447790933,
      0.542464303085034,
      0.546711167376635,
      0.581691500601035,
      0.513915204464573,
      0.471027683327886,
      0.487513987060519,
      0.414476236795607,
      0.396863729885475,
      0.450752560168944,
      0.544420554560205,
      0.536241713749612,
      0.362050554745084,
      0.444208652538132,
      0.34303893877088,
      0.425711443954899,
      0.596741469234987,
      0.593272630644262,
      0.509902047415902,
      0.468785957929367,
      0.575760763067599,
      0.692638164156657,
      0.427831994406841,
      0.427329711582308,
      0.529664235205054,
      0.625176572516571,
      0.502773184269289,
      0.474690961390549,
      0.583906377169382,
      0.403212026638299,
      0.430046523291929,
      0.470198636174585,
      0.491928132267776,
      0.46918900221083,
      0.582629173852151,
      0.428775174901856,
      0.428464446486247,
      0.295973983225687,
      0.442722998688573,
      0.55707589709779,
      0.431842488971618,
      0.449613026996764,
      0.423455365227698,
      0.434234602415861,
      0.719311409613997,
      0.537377478866621,
      0.459873788597696,
      0.648852856233112,
      0.702197830809424,
      0.543924952630903,
      0.523408951558349,
      0.41016150411101,
      0.441778204502741,
      0.473390667521526,
      0.459779762065509,
      0.538541685455898,
      0.54335626228425,
      0.476217493135403,
      0.469709879465242,
      0.430314122789155,
      0.349661955616796,
      0.491556167533455,
      0.591495479853467,
      0.574813851993699,
      0.398708232083903,
      0.456419568711881,
      0.521509841781763,
      0.479890708176723,
      0.511397658056366,
      0.777620089309089,
      0.617423337415861,
      0.430518768270969,
      0.593110509845218,
      0.526221335451769,
      0.522003469174693,
      0.592020964026545,
      0.42022524468071,
      0.544009118608575,
      0.443182235169481,
      0.545904086107447,
      0.538239411699117,
      0.498717738891953,
      0.435861545788463,
      0.723527749925587,
      0.58172338183035,
      0.476921153034333,
      0.511304715299322,
      0.493483472869576,
      0.538517029840764,
      0.571394894601679,
      0.413367725039607,
      0.424997871426377,
      0.418279321979216,
      0.529519301997082,
      0.466018628254759,
      0.435064979801378,
      0.631670741088797,
      0.520451185059797,
      0.580529887049277,
      0.530554908024836,
      0.60006317695878,
      0.442602726852195,
      0.523042441449364,
      0.540597897509877,
      0.509950569172895,
      0.407338184320684,
      0.394551426946852,
      0.484890872423888,
      0.564039546863103,
      0.549957516770067,
      0.577702770036616,
      0.494385492350836,
      0.673765979959678,
      0.470717160675647,
      0.524122712020305,
      0.497477219390559,
      0.61709943541209,
      0.562120283863111,
      0.439223932725517,
      0.536128552339819,
      0.524255218349544,
      0.5388160977146,
      0.530363339264022,
      0.552634591586549,
      0.503506176784463,
      0.637878904558656,
      0.424726591398681,
      0.47578211201257,
      0.526174662136319,
      0.498979062474513,
      0.526219354903123,
      0.578234573524475,
      0.432081104560409,
      0.597656374332257,
      0.524935924254309,
      0.533863452608098,
      0.550448876037598,
      0.552250079090242,
      0.57722877409516,
      0.540988136621671,
      0.54796796824184,
      0.555618543464907,
      0.521795899863246,
      0.524067996459283,
      0.593444536030861,
      0.560937855765412,
      0.450597229804068,
      0.455544992681679,
      0.509714410392866,
      0.621950542462172,
      0.51375555838271,
      0.532818250886573,
      0.551680342258757,
      0.537319653760013,
      0.515303814573447,
      0.650109090120435,
      0.581182568450743,
      0.582855554152993,
      0.491215527447035,
      0.55643700641813,
      0.536578511387083,
      0.512523101623147,
      0.549434799211453,
      0.567545095504161,
      0.576139347019476,
      0.500994313000379,
      0.50435899074444,
      0.537632892737188,
      0.468361278261058,
      0.607207194623381,
      0.585857311726588,
      0.549947467105198,
      0.506730706050277,
      0.564584858018306,
      0.526409691246785,
      0.34712337992844,
      0.426246073297039,
      0.456243910093427,
      0.34946939417828,
      0.491079630398233,
      0.400649763834565,
      0.423180876559923,
      0.328809283726262,
      0.398206515424724,
      0.595903668953811,
      0.565913695568427,
      0.537137416920836,
      0.393734037972698,
      0.421848210472996,
      0.342330686402735,
      0.594747051255798,
      0.525129744845916,
      0.577803845087187,
      0.568752927055066,
      0.452554301358626,
      0.362214122276289,
      0.451686371036886,
      0.441361024390952,
      0.481945766718418,
      0.47030858509427,
      0.542804061744078,
      0.510268097861594,
      0.530186283745629,
      0.412846529242493,
      0.433943036696737,
      0.456211250568822,
      0.408969626807019,
      0.45569566104149,
      0.550470680165126,
      0.421100898556846,
      0.433677935423215,
      0.441777207365754,
      0.416250422655548,
      0.377743063824626,
      0.513298931896972,
      0.55141606403229,
      0.497341479592513,
      0.4419757481601,
      0.46052159839423,
      0.430370942366737,
      0.358010927631591,
      0.481417667399686,
      0.53206649664165,
      0.478614279396051,
      0.452499297073418,
      0.438875599537364,
      0.435310161681708,
      0.420343763348187,
      0.491616888515769,
      0.490519580917206,
      0.559660069439252,
      0.30318231109322,
      0.477797218117895,
      0.530613579388444,
      0.539777972362621,
      0.509156186950503,
      0.567347539389482,
      0.550441829361049,
      0.611501279998115,
      0.49293526667519,
      0.480731442378968,
      0.536097588733944,
      0.543618031510843,
      0.57610318811165,
      0.54695235037399,
      0.459300382060175,
      0.528749997523439,
      0.528305262809039,
      0.584704335088467,
      0.508128294881134,
      0.566240113080943,
      0.52876690409406,
      0.485228498153822,
      0.526212034917005,
      0.597297863186293,
      0.556216711388571,
      0.575331418186811,
      0.50804570946975,
      0.561202396244903,
      0.504679552020134,
      0.473020260158682,
      0.548650685923733,
      0.548087117380329,
      0.600246880109998,
      0.525577716518037,
      0.547828896841774,
      0.564838193137743,
      0.482270967238053,
      0.617975165657436,
      0.56622371423523,
      0.571121415727251,
      0.497804335234033,
      0.542863353349658,
      0.504589153959386,
      0.477170779864369,
      0.616259468616426,
      0.576641065908235,
      0.512182630532814,
      0.595469729815103,
      0.529639538845894,
      0.625559664344362,
      0.4511818347684,
      0.601292127558,
      0.55631873178762,
      0.581341419947796,
      0.500377767312668,
      0.527800935591773,
      0.533089583454767,
      0.432809494063487,
      0.458697130331075,
      0.411669759276881,
      0.360004389495735,
      0.420873874990042,
      0.440082736987616,
      0.402350702905307,
      0.438370439054112,
      0.477076596264408,
      0.371344328690139,
      0.451031219228517,
      0.465961327524448,
      0.402813256472398,
      0.499770798701295,
      0.419509845858973,
      0.404610399172926,
      0.490969211447447,
      0,
      0,
      0.373458161004158,
      0.328117775910951,
      0.301705464840104,
      0.225887623200996,
      0.375489376267599,
      0.462174602036476,
      0.368884413676247,
      0.27257125951788,
      0.331789665692462,
      0.238294527721325,
      0.256991385129085,
      0.348385528576263,
      0.440767091803067,
      0.514830797657217,
      0.286056292951149,
      0.396485455008005,
      0.311197484262249,
      0.303827649725944,
      0.325178999501334,
      0.359842433458487,
      0.481218473178126,
      0.305690561498822,
      0.397590731829647,
      0.299937842026983,
      0.304363814270312,
      0.366393849201337,
      0.335031539730816,
      0.460126446353484,
      0.431435026051424,
      0.389886921829,
      0.378689281025307,
      0.490856688455932,
      0.450990807266587,
      0.387124308765709,
      0.449969921186343,
      0.521132853472757,
      0.455711784983948,
      0.462337252393915,
      0.450977065357493,
      0.533869340903866,
      0.424601086795569,
      0.580932917036793,
      0.584270119706627,
      0.49592523692119,
      0.593756559934618,
      0.431869688972677,
      0.434085188352943,
      0.486341049781846,
      0.535840165184292,
      0.504327284053463,
      0.458742861176561,
      0.562856866780837,
      0.351235777536579,
      0.444603426768029,
      0.520972516834381,
      0.364002035105886,
      0.480275241188365,
      0.332333790657106,
      0.543293066532622,
      0.433055804137442,
      0.55507410941143,
      0.466315343677037,
      0.462578633581939,
      0.624508891278803,
      0.514630371939376,
      0.464541010081025,
      0.425312716615994,
      0.667762287015675,
      0.417156715306013,
      0.468428261289515,
      0.720968992387063,
      0.457398392075999,
      0.537949191127492,
      0.49823263861566,
      0.521853730835791,
      0.436114553760017,
      0.420975725645375,
      0.520194071037287,
      0.425750709667745,
      0.396721364375466,
      0.449624702029635,
      0.45033763623027,
      0.328349461739186,
      0.543012903456812,
      0.58763185866636,
      0.356797366970418,
      0.429287514583949,
      0.453874902509338,
      0.596309208588961,
      0.445610567662594,
      0.507497002390807,
      0.563445635508374,
      0.680781232568509,
      0.557710151408832,
      0.568673686035285,
      0.493024816002854,
      0.473870564616629,
      0.573955572059526,
      0.675569213939358,
      0.559086714765032,
      0.541856438094938,
      0.57830029050628,
      0.538847490382215,
      0.50690191362631,
      0.60321253219168,
      0.489489849195508,
      0.495630955175364,
      0.629794698789784,
      0.516810316639151,
      0.346630036088396,
      0.405898900196358,
      0.554702576551693,
      0.493581338477343,
      0.295295075421781,
      0.402771163031135,
      0.478513822408801,
      0.50301922248383,
      0.385003953033775,
      0.601382265189337,
      0.453047528346379,
      0.467187314876088,
      0.532886976325073,
      0.511569937504412,
      0.439217250357358,
      0.331785934837827,
      0.568057806612225,
      0.47111080083846,
      0.570167728785769,
      0.496722352607608,
      0.510705189898759,
      0.652426184251622,
      0.408286180027784,
      0.455128162137958,
      0.488085136495968,
      0.634344848797814,
      0.566400135111774,
      0.405159916383949,
      0.407431134010784,
      0.581330293121401,
      0.392424638001489,
      0.446154875761486,
      0.462689454637675,
      0.566308931416666,
      0.510915584484175,
      0.585547939400818,
      0.540578709175417,
      0.527470997227332,
      0.55949296137831,
      0.547895272317616,
      0.531557769195669,
      0.608991274652096,
      0.543734538132273,
      0.570676614000595,
      0.47559134851187,
      0.544099191131595,
      0.512863122253436,
      0.447232676690453,
      0.593829651244977,
      0.561379384880371,
      0.519433082171641,
      0.572445472198295,
      0.478754953759822,
      0.55122922890495,
      0.35902023651602,
      0.596577656418849,
      0.54438179030045,
      0.573476134031517,
      0.472750396923794,
      0.530699839331004,
      0.533565177322052,
      0.459146581014012,
      0.638667221810448,
      0.62932186505907,
      0.498942265093832,
      0.50861401005799,
      0.559277265278344,
      0.470872549199679,
      0.406776678206307,
      0.511596990706736,
      0.677603445928746,
      0.566137377997592,
      0.480771107759283,
      0.536255983980377,
      0.557340730361797,
      0.571294105848043,
      0.570461203792327,
      0.536274955803596,
      0.572572341521157,
      0.4984051813799,
      0.533897997734135,
      0.497073094794768,
      0.497034557935962,
      0.450747441367092,
      0.556638284017527,
      0.555445997342178,
      0.561982247312257,
      0.514235314923654,
      0.476620872766631,
      0.482889489297945,
      0.502867717270453,
      0.429409102298469,
      0.355837628068326,
      0.42004204492973,
      0.55182139375428,
      0.497329609868747,
      0.396306763959448,
      0.44458942237179,
      0.406124282380709,
      0.356712174912841,
      0.457236562510527,
      0.58173459785053,
      0.498295098199535,
      0.387045633284252,
      0.477530499785816,
      0.659489849518989,
      0.372838599938774,
      0.388389138390205,
      0.480367008308749,
      0.623723630573643,
      0.547313409454604,
      0.376187196657874,
      0.532733614563274,
      0.445614727044681,
      0.409976277989404,
      0.393630037501503,
      0.476828637820057,
      0.486201145755958,
      0.577776908672024,
      0.459104446533748,
      0.410790679882574,
      0.255084085222693,
      0.447212310338554,
      0.536432391456216,
      0.479252887435798,
      0.506106860025012,
      0.361967109883854,
      0.47681318453928,
      0.498386395467103,
      0.363748464272293,
      0.387824029200755,
      0.574681077832582,
      0.541623510934109,
      0.482452741014034,
      0.491861246124345,
      0.467855050027913,
      0.430680183208417,
      0.408672523586049,
      0.367701896616798,
      0.521736305351507,
      0.509791652076419,
      0.479061580459301,
      0.494303856237512,
      0.460836034999392,
      0.301377491464986,
      0.39031884968547,
      0.551035762592475,
      0.580894975429253,
      0.347637893349175,
      0.514472854955577,
      0.47136616704943,
      0.465110522122163,
      0.530336776894377,
      0.703856244673928,
      0.637738589906784,
      0.429268280277531,
      0.549770038320726,
      0.502854517626093,
      0.472257273990529,
      0.523689655354334,
      0.472756490102293,
      0.497246888333691,
      0.453463846908498,
      0.475073902142344,
      0.491885373610616,
      0.540013178551264,
      0.474476877509987,
      0.651042855206672,
      0.493928552032275,
      0.471097544571347,
      0.464375701604378,
      0.369064771431739,
      0.541015870281085,
      0.578317617328628,
      0.443367841506477,
      0.384584701945798,
      0.445806717387497,
      0.540355826133428,
      0.442478497605512,
      0.453190313265635,
      0.608148351917639,
      0.513345035812043,
      0.522933639028476,
      0.551517331046592,
      0.602345790264867,
      0.448453309866204,
      0.489957865195715,
      0.585279289151216,
      0.438639883783156,
      0.438077964363088,
      0.483998347525783,
      0.487696075581762,
      0.526540670292287,
      0.560358015899288,
      0.581436182192587,
      0.53169121681306,
      0.482085068606961,
      0.412249448441134,
      0.434750043505984,
      0.465272315957123,
      0.627960903944747,
      0.437166191716996,
      0.444346649375394,
      0.548812655620675,
      0.553973419884357,
      0.560209125591305,
      0.529721580786028,
      0.543979532425554,
      0.541548358896764,
      0.600794986897216,
      0.475097255630975,
      0.517790187755055,
      0.533497576799825,
      0.5314489015947,
      0.497221190354043,
      0.585955235483813,
      0.373214393343799,
      0.511617122293339,
      0.492734028974148,
      0.487890446467541,
      0.561533416716656,
      0.535051831047221,
      0.580977530797802,
      0.489318681191562,
      0.478959438811715,
      0.535067568641437,
      0.539156669885494,
      0.491987731686801,
      0.541169362352218,
      0.552052126108442,
      0.43137717167536,
      0.523635498880601,
      0.508543680822297,
      0.610898859716659,
      0.476803925706911,
      0.503739000593083,
      0.532513612193667,
      0.560488333408045,
      0.506748423371608,
      0.650826005452541,
      0.547538385377186,
      0.503025774253064,
      0.453601770396726,
      0.568838671635155,
      0.493853184059429,
      0.536355985341414,
      0.550316018839664,
      0.563713669066499,
      0.586182691394988,
      0.523799647628501,
      0.511595806008434,
      0.46303754027716,
      0.393267956170124,
      0.611774160390462,
      0.573359575033767,
      0.549746031527886,
      0.493838673616674,
      0.556644763000913,
      0.558234620217442,
      0.291861893024864,
      0.370136508454425,
      0.431062991129453,
      0.365576302878075,
      0.492149378550437,
      0.40560232320952,
      0.483883322066138,
      0.292170321830195,
      0.440391599561219,
      0.631045303376128,
      0.567973621804351,
      0.507019571561501,
      0.436386129371082,
      0.406245640898996,
      0.291051809279988,
      0.542452079190467,
      0.519544869194265,
      0.539874900391631,
      0.416417037707613,
      0.301191284032438,
      0.371014596525269,
      0.450451406685008,
      0.420196386934489,
      0.399123506122838,
      0.505024084321768,
      0.501898835862411,
      0.555440657305256,
      0.560889081373223,
      0.372917153583974,
      0.465073644368298,
      0.435064118241749,
      0.362424288700263,
      0.430479089275609,
      0.503834735504858,
      0.455182764762714,
      0.444455515843996,
      0.458276594106491,
      0.46164984661873,
      0.430708039067548,
      0.46641623340407,
      0.558063000735944,
      0.475521583822787,
      0.413017749576111,
      0.461786899494392,
      0.409812357668803,
      0.351546509673311,
      0.413764971899009,
      0.57482471906733,
      0.432521061800392,
      0.376462462174416,
      0.399976659151581,
      0.466286530679345,
      0.467924604162409,
      0.447808515232804,
      0.512453871709598,
      0.47230220337584,
      0.390315011102346,
      0.472104508141576,
      0.49866854927407,
      0.518941664413503,
      0.533330218913065,
      0.526643523116312,
      0.568838773713605,
      0.551182222735723,
      0.486276019848188,
      0.497304788582658,
      0.53100302008285,
      0.487031511274418,
      0.491589358412581,
      0.562068239296054,
      0.434598566016809,
      0.477990624636934,
      0.499910306241687,
      0.58696032908873,
      0.476263179272221,
      0.533021528432793,
      0.559122298559361,
      0.559047487380324,
      0.528362297334138,
      0.58258687037848,
      0.56454085168234,
      0.535118946174857,
      0.49485950484176,
      0.519535539313629,
      0.477477447268731,
      0.562240837109326,
      0.543852931650022,
      0.562106672868263,
      0.577133601337061,
      0.520756632617058,
      0.528948671369842,
      0.512984821250336,
      0.503676955677243,
      0.613159738922736,
      0.55428369739774,
      0.559905870183057,
      0.482506449752865,
      0.545509273880132,
      0.504942746830879,
      0.388769082196472,
      0.604857601513741,
      0.577206142642204,
      0.515762772631424,
      0.575786953386216,
      0.490631433333153,
      0.566458665424092,
      0.333755005409752,
      0.576717044518154,
      0.599383148272941,
      0.546101697664191,
      0.473712658263585,
      0.56394524043491,
      0.57196203773778,
      0.465913979751274,
      0.459544304444864,
      0.388496125270247,
      0.350833907301809,
      0.445188048494518,
      0.47512096490886,
      0.424651130473212,
      0.428909538394309,
      0.528958838289877,
      0.362400220229643,
      0.50520110811517,
      0.512500421575661,
      0.391461909018816,
      0.482639965907413,
      0.49838043257789,
      0.354876024642822,
      0.497940667920845,
      0,
      0,
      0.479068023822092,
      0.373911181368836,
      0.348918025340821,
      0.356049749144575,
      0.371295598568521,
      0.474187584268193,
      0.393195450328014,
      0.458600969225435,
      0.495194126233545,
      0.347667275840344,
      0.348066343709938,
      0.346623828242218,
      0.307688976207929,
      0.423326522630499,
      0.42047747974454,
      0.404491465359615,
      0.435567478288029,
      0.38529470558322,
      0.392765494950848,
      0.29967565694901,
      0.544850678825093,
      0.407407564556362,
      0.345108543523269,
      0.464390897969914,
      0.407809619713528,
      0.37657720735434,
      0.33934384948534,
      0.469413542403789,
      0.478238726063407,
      0.39738386470031,
      0.463224898215262,
      0.556851396106266,
      0.410753236899788,
      0.447305078324746,
      0.479778608442356,
      0.539040881294056,
      0.492543234202074,
      0.537333556631568,
      0.549588687187399,
      0.591302917849786,
      0.534631038573388,
      0.599764316910642,
      0.561621633009568,
      0.507101548703779,
      0.518481669846698,
      0.428149029696372,
      0.494270525523294,
      0.474766218759841,
      0.555294277299613,
      0.536520250011861,
      0.511285360582081,
      0.577196201841423,
      0.416817188290556,
      0.454721081611367,
      0.622567790400945,
      0.386672323761204,
      0.542406011846868,
      0.400795473538475,
      0.576511065404282,
      0.5288486096326,
      0.502734232088841,
      0.559490378711128,
      0.482381257549919,
      0.583541886889018,
      0.443149966780611,
      0.465384728656191,
      0.433748893670033,
      0.69861014567842,
      0.440497427431166,
      0.474051278444735,
      0.606140921214244,
      0.446161074535412,
      0.528059570352195,
      0.485268190540477,
      0.517743495366311,
      0.488654998606427,
      0.464798806860246,
      0.551657040091316,
      0.473322697012583,
      0.374332871549539,
      0.459308142174769,
      0.518332124437815,
      0.428094044404203,
      0.482349736484708,
      0.598707536512948,
      0.403434540382584,
      0.378072199430361,
      0.511755610905711,
      0.618392451340695,
      0.445261116099018,
      0.497441478172518,
      0.618081214381925,
      0.669078870914385,
      0.585056509557218,
      0.520848322014347,
      0.53268579914952,
      0.59032823864635,
      0.60150052330045,
      0.659226897197529,
      0.546408187602601,
      0.575358572296949,
      0.549833761365658,
      0.468111946973611,
      0.582530524799405,
      0.659233286871861,
      0.48843840325709,
      0.615933236382422,
      0.59378953532686,
      0.520533932915266,
      0.349365604561329,
      0.396611992771083,
      0.55942200286751,
      0.509612141128216,
      0.312951226004126,
      0.452699229368631,
      0.519341464449693,
      0.499121529585085,
      0.397762751327609,
      0.570738818969923,
      0.48744993555195,
      0.449349900863356,
      0.592189379373499,
      0.489952570400076,
      0.445634830076704,
      0.370823334973637,
      0.572892795228669,
      0.516598184676029,
      0.51439233303509,
      0.488112833079586,
      0.625190738043029,
      0.557322869897683,
      0.430206420397502,
      0.474951516630849,
      0.521921825284931,
      0.631640088035184,
      0.555718024751364,
      0.459069822183349,
      0.50670246169431,
      0.552998854473542,
      0.417560142466379,
      0.447495325094217,
      0.46179524086234,
      0.568366329795723,
      0.568271974065711,
      0.551378951408038,
      0.573192311182739,
      0.548379769987521,
      0.519661197885002,
      0.575431406743383,
      0.538962271336972,
      0.620938189720885,
      0.57659815689444,
      0.5648925490526,
      0.524973518408353,
      0.530694594804882,
      0.521320047028215,
      0.441137954457894,
      0.627678256803917,
      0.530958254807098,
      0.524315808419874,
      0.559706964189705,
      0.512913181747531,
      0.55232670316459,
      0.389612411837167,
      0.610683743089781,
      0.556846210048785,
      0.627192417117767,
      0.525940842026818,
      0.53562338786828,
      0.537131525997744,
      0.463759568813417,
      0.547794543869845,
      0.652880602599018,
      0.500247192728619,
      0.483445579438989,
      0.550682247637918,
      0.518002480213159,
      0.39039783736288,
      0.597180953490422,
      0.69711908256868,
      0.601636118180626,
      0.558108374898567,
      0.562273930345021,
      0.579481922269248,
      0.524596278073101,
      0.573993279101902,
      0.572689788064377,
      0.538227699158363,
      0.525967215932597,
      0.543209492060402,
      0.534147435680097,
      0.487578102940134,
      0.520063764133559,
      0.579135195879612,
      0.572662800726752,
      0.630206805505139,
      0.590177659772925,
      0.495290372318243,
      0.559146934038636,
      0.472369653043222,
      0.522585061202148,
      0.409229426945932,
      0.435395067875602,
      0.565081346621066,
      0.485760369486394,
      0.442199976662727,
      0.477267346986528,
      0.40692648206143,
      0.333538044278107,
      0.593265967745621,
      0.593343299536398,
      0.411897153565376,
      0.423113479226795,
      0.469316693763747,
      0.566154855401029,
      0.46469754332393,
      0.398694862223726,
      0.528924273952722,
      0.605990308890007,
      0.599092695393201,
      0.403235335613753,
      0.509484682510296,
      0.411384206161031,
      0.394092179371818,
      0.347922529118968,
      0.453011572389787,
      0.544555954341532,
      0.485052256355223,
      0.526120445387087,
      0.483298261078029,
      0.31687677053688,
      0.456168597178997,
      0.495105433332424,
      0.508224564896196,
      0.439917157058456,
      0.387604141539807,
      0.52467814681784,
      0.493574395026935,
      0.415427743152648,
      0.343464603715001,
      0.431343054297396,
      0.441722689593036,
      0.516097764704421,
      0.561361512266531,
      0.442813840088449,
      0.418823230714639,
      0.415733622411895,
      0.387205214629761,
      0.59437051775684,
      0.534294458251703,
      0.410758700423908,
      0.586845129116041,
      0.442018339834821,
      0.300765561970573,
      0.404098281893288,
      0.422192684164114,
      0.588625210157246,
      0.442295704807867,
      0.53214695213435,
      0.5865615523486,
      0.447987551515246,
      0.5462899765653,
      0.50673975238164,
      0.606604002195111,
      0.357002140445154,
      0.633749063561682,
      0.549163742640723,
      0.471177914616957,
      0.524478630094936,
      0.587337906390865,
      0.480962840930768,
      0.456874529448433,
      0.465390685583833,
      0.57363948145957,
      0.575767226034451,
      0.506775750875933,
      0.654450388230276,
      0.495989543853933,
      0.454321966467102,
      0.478075291865188,
      0.406679475759418,
      0.556217806202553,
      0.596465788406494,
      0.463219453099109,
      0.441839062327581,
      0.4904475885884,
      0.50449158597827,
      0.452094731044131,
      0.525216103011598,
      0.529693553720398,
      0.494021713954914,
      0.45877878960384,
      0.427587160533922,
      0.617154392023441,
      0.507233890958567,
      0.4932920348031,
      0.573180243909884,
      0.494957678315141,
      0.518986268229978,
      0.50795058408257,
      0.531146975228192,
      0.595060782978092,
      0.551936722521991,
      0.578195837885432,
      0.556139079330477,
      0.541114850408234,
      0.497771620432785,
      0.443607918951735,
      0.461559014917948,
      0.638147447924947,
      0.455483698943875,
      0.536203204079854,
      0.561374887104803,
      0.608510803822505,
      0.563406266063706,
      0.523187993936822,
      0.557469308008388,
      0.576893411167033,
      0.638378009838187,
      0.563344334117044,
      0.575645484443127,
      0.622391127257849,
      0.551830137801024,
      0.520230448300436,
      0.541037313079553,
      0.436631671924221,
      0.581973287813059,
      0.549765294926185,
      0.562144220206279,
      0.536022446282036,
      0.516211488953974,
      0.565842830834488,
      0.531322382049665,
      0.561353754445371,
      0.52272126714962,
      0.554885819419868,
      0.5558701030046,
      0.563331611768128,
      0.492547365225383,
      0.462204552109662,
      0.566383181082223,
      0.519339522532552,
      0.610322710855265,
      0.555981541721624,
      0.554764542676179,
      0.479966402836355,
      0.595100042104093,
      0.536926417732772,
      0.672391950722261,
      0.59575167802432,
      0.551596421588826,
      0.568219566215013,
      0.560166307565566,
      0.485763958361001,
      0.533805290094682,
      0.577792955232635,
      0.554318049318635,
      0.599630424237984,
      0.559218486574291,
      0.519243192808181,
      0.46337641265291,
      0.409708322039938,
      0.618582906652953,
      0.632404506523934,
      0.575719313037709,
      0.524476537462999,
      0.597205040136659,
      0.579813707699179,
      0.31226091278657,
      0.363438262472698,
      0.420656311120662,
      0.37841118268736,
      0.54571585968418,
      0.456193973991278,
      0.459469541754214,
      0.319121447611815,
      0.485615536222722,
      0.648240538128282,
      0.557640810565774,
      0.575874598457694,
      0.403622198208578,
      0.400005354661049,
      0.349975459895388,
      0.540700657425806,
      0.491787149132627,
      0.552283320894915,
      0.512339952798154,
      0.449903708361194,
      0.416481197657656,
      0.508217920442804,
      0.433410615452912,
      0.568407714386954,
      0.400421022595248,
      0.541007467152916,
      0.597953040053785,
      0.575191646114639,
      0.45027724595907,
      0.42714850935579,
      0.455325022319627,
      0.387157155811323,
      0.457639031528586,
      0.518435896696331,
      0.51923506051167,
      0.471373657019317,
      0.429485590488766,
      0.504175359489492,
      0.471690194730449,
      0.472559324217402,
      0.553590412649275,
      0.46605808061803,
      0.478756701952468,
      0.454379612755076,
      0.377089119477373,
      0.376514817015399,
      0.444636991786575,
      0.584310829241296,
      0.511581440936674,
      0.403287159978374,
      0.439049559612898,
      0.444326033089964,
      0.459878473235074,
      0.481431075423247,
      0.513244344251597,
      0.497371099205586,
      0.42409989855255,
      0.548729308079775,
      0.560323539201659,
      0.590926573495535,
      0.490401220606592,
      0.538969671058663,
      0.499827335065355,
      0.596963875968463,
      0.573724101373789,
      0.516863370994089,
      0.543033065328556,
      0.53736207509916,
      0.532883077025207,
      0.484426858936218,
      0.423865415389639,
      0.555383517659764,
      0.538809916357263,
      0.580768959875957,
      0.580022047713182,
      0.531345061243156,
      0.506900037477275,
      0.576800712005294,
      0.597775103017176,
      0.608693274398063,
      0.596552080960162,
      0.557841665138852,
      0.577756040751453,
      0.525177955869792,
      0.491951025524158,
      0.50295193372392,
      0.583074811056358,
      0.554806117457511,
      0.515509126916845,
      0.543794801097643,
      0.47687537318757,
      0.53641334817005,
      0.496771619811105,
      0.59161905591803,
      0.566833409826262,
      0.582677232780799,
      0.51801320114672,
      0.569933825179559,
      0.518717452714054,
      0.40481759730595,
      0.571249685659662,
      0.584484535232355,
      0.538737886649211,
      0.542969490081748,
      0.505465500443268,
      0.561985984689196,
      0.407784527025632,
      0.598830278054924,
      0.595841513629198,
      0.5542399724713,
      0.528654091638865,
      0.580991296242089,
      0.560877735913401,
      0.497902503769113,
      0.494993821175124,
      0.436774330607879,
      0.386637185790045,
      0.445523935558822,
      0.482709633161121,
      0.42539031314193,
      0.391332923620708,
      0.530238846192163,
      0.396610613736165,
      0.486878958108053,
      0.491666185292089,
      0.413949328477839,
      0.454109691743338,
      0.482642693023086,
      0.365245207846272,
      0.500600904017199,
      0,
      0,
      0.537318660713797,
      0.334511481393696,
      0.319491475550365,
      0.360665988264144,
      0.39605909616796,
      0.602887942358047,
      0.546180030395117,
      0.589042497235781,
      0.55627461718034,
      0.376602619625103,
      0.375579303363129,
      0.439193723848639,
      0.375124177579444,
      0.544598445968246,
      0.442659098788027,
      0.426623974180762,
      0.390114195865348,
      0.383618126508374,
      0.413694057763178,
      0.301474218282845,
      0.555145919083188,
      0.430784707855763,
      0.387824439079301,
      0.430832129948493,
      0.371100606742775,
      0.364483364063485,
      0.342580890158311,
      0.515075890543427,
      0.514614397085135,
      0.573116929812695,
      0.540388768297865,
      0.668527483662275,
      0.41748996990633,
      0.517496148885359,
      0.451720542396627,
      0.554402073911245,
      0.663564134691986,
      0.58769928428448,
      0.635076219216206,
      0.53664876656412,
      0.562085485902997,
      0.61018932820757,
      0.545096203615683,
      0.53498153589615,
      0.583982430782719,
      0.439174178811153,
      0.556124819140126,
      0.517216596987855,
      0.516769637058262,
      0.547809626567317,
      0.527397033221429,
      0.612519964938107,
      0.439091636111767,
      0.48819876048602,
      0.595971078277908,
      0.39335493490481,
      0.516141787680995,
      0.493839025427391,
      0.637527452737415,
      0.613775478430218,
      0.583184691046318,
      0.596493448739801,
      0.440343683313213,
      0.49957756637182,
      0.660233880146774,
      0.525710591134785,
      0.546164197779288,
      0.599949991298449,
      0.403768151319157,
      0.510903214913712,
      0.60226143649575,
      0.505568972899645,
      0.48739993316736,
      0.531098108110228,
      0.638482641527015,
      0.524707623177856,
      0.580370651362947,
      0.549876953736075,
      0.450277724533196,
      0.43716352680038,
      0.596131558899272,
      0.520940721684978,
      0.489740582024419,
      0.498251556157297,
      0.621490717222675,
      0.351648996304132,
      0.402735521848752,
      0.552898705040362,
      0.673894081902119,
      0.563465271734683,
      0.520399865171894,
      0.600178826208335,
      0.516419556755503,
      0.542845102697987,
      0.540524635136188,
      0.5133101983279,
      0.523529806716893,
      0.566088079329803,
      0.649558978588244,
      0.469462579398518,
      0.461864669289262,
      0.502396818862768,
      0.453511921060962,
      0.552977135949324,
      0.675597038038332,
      0.528802260848137,
      0.58469554478193,
      0.599546417036648,
      0.544392670444014,
      0.411614144417134,
      0.38172626321911,
      0.653807051244076,
      0.538589050788973,
      0.450883749219164,
      0.56611917285924,
      0.641283800176192,
      0.490485519312437,
      0.401098484300015,
      0.56991877821405,
      0.589925083467545,
      0.50797532667456,
      0.573278071638916,
      0.510814299310716,
      0.402868860973441,
      0.36071789593325,
      0.593168428484017,
      0.533977756036597,
      0.495179230545964,
      0.504911843483922,
      0.607480732894209,
      0.503319929596175,
      0.497668735718233,
      0.48186663377876,
      0.630106781338615,
      0.606928990056775,
      0.579494133142962,
      0.489161674279859,
      0.57197850339942,
      0.548350937857375,
      0.533970638946027,
      0.447647139946813,
      0.542406025404165,
      0.575852021171039,
      0.554643570576385,
      0.546356997433264,
      0.568885247032566,
      0.591785124850478,
      0.538914132808407,
      0.563926464980847,
      0.577460340476848,
      0.636426896319822,
      0.557944533399314,
      0.618963464724854,
      0.556761448705875,
      0.610354111261914,
      0.606497384507001,
      0.470754239143526,
      0.636379928922967,
      0.521197273008216,
      0.513092210675274,
      0.591344830773707,
      0.501519651978676,
      0.630207232046974,
      0.429932985058971,
      0.669228630521076,
      0.546988028495543,
      0.657344071686804,
      0.555918311693052,
      0.577398746907966,
      0.53726186958462,
      0.544655325354433,
      0.541009577280301,
      0.660968272473564,
      0.539673450092406,
      0.583292089581424,
      0.571526400175934,
      0.570660561371653,
      0.433476078216085,
      0.568181303622835,
      0.642160371839521,
      0.659102842399938,
      0.647359528445356,
      0.570817983008018,
      0.620124187191929,
      0.588011039303696,
      0.562487819008903,
      0.594195161592003,
      0.559201804095953,
      0.551662780259726,
      0.615013394105715,
      0.594553502290699,
      0.463769340351602,
      0.51626349449384,
      0.531184171899837,
      0.574235166390042,
      0.643337088437549,
      0.598420819547756,
      0.535293373358492,
      0.559415467674512,
      0.522668360321016,
      0.531340882779234,
      0.45398683177219,
      0.511188046558025,
      0.586709804520949,
      0.521444852541077,
      0.483377883479643,
      0.475469035974478,
      0.421367293910049,
      0.395406983772421,
      0.685454068962713,
      0.630311880114007,
      0.498338413223721,
      0.450899348766405,
      0.484756757164291,
      0.636554829956332,
      0.496249831984672,
      0.459696818982636,
      0.615861120484528,
      0.579499054854678,
      0.446304060655963,
      0.398095337217828,
      0.661772773665644,
      0.406214209808544,
      0.349374373349895,
      0.391243392121427,
      0.432443913694966,
      0.555123266340618,
      0.55786936569307,
      0.485396144444228,
      0.481906147116502,
      0.407022097415543,
      0.456930994947498,
      0.512766104894352,
      0.556678335454064,
      0.468819106813054,
      0.431713123948605,
      0.485529479837279,
      0.642582350358257,
      0.479887116312486,
      0.408499620161316,
      0.471088305928511,
      0.514698950862011,
      0.660871128035905,
      0.584493751577091,
      0.434590193757159,
      0.456745624411373,
      0.431040768547544,
      0.505604445541328,
      0.668044552637797,
      0.574923520755587,
      0.407319655300199,
      0.543968358157901,
      0.456240917975554,
      0.340001157628245,
      0.371577640379067,
      0.444399619086215,
      0.593121943257649,
      0.562667735052824,
      0.468493159775339,
      0.633558356035734,
      0.528916451573362,
      0.536584502372782,
      0.505576808907614,
      0.648303914900277,
      0.46447675902828,
      0.626183998338137,
      0.702929959212624,
      0.495011923486158,
      0.52853408801535,
      0.494554628684291,
      0.523170099679776,
      0.488252478677557,
      0.559800154432084,
      0.653421976677936,
      0.540368428991917,
      0.515748863415879,
      0.670819895459809,
      0.533055676400573,
      0.494491687445345,
      0.500021677128857,
      0.512441736049856,
      0.572784940431099,
      0.641821527422968,
      0.471797923860843,
      0.426381614936096,
      0.457527118233143,
      0.484363326554756,
      0.586515475387459,
      0.508718655540598,
      0.532412693383471,
      0.461645430363683,
      0.494737660991849,
      0.450993894271257,
      0.586949946761405,
      0.447068704872283,
      0.620683389753873,
      0.597289099274017,
      0.553342702642512,
      0.533410355577244,
      0.520858120681378,
      0.483809463031768,
      0.71825684386208,
      0.53554396834825,
      0.614048228641901,
      0.509362038504458,
      0.696583801675846,
      0.548296772932599,
      0.435732568004202,
      0.506782428252235,
      0.621184880450123,
      0.48821813913042,
      0.553215655123039,
      0.579657240015687,
      0.594421314197146,
      0.53004096234176,
      0.52330763742133,
      0.629942330216776,
      0.65724097006096,
      0.581505242727323,
      0.580577014440752,
      0.514533901397585,
      0.568635006789971,
      0.520458717081553,
      0.54680149298042,
      0.617317625219147,
      0.468149719895487,
      0.618798001404454,
      0.618851524403192,
      0.519359026035008,
      0.566935363217097,
      0.554603511205944,
      0.606607985863733,
      0.50521388833537,
      0.544449729454845,
      0.503617888469906,
      0.527980355679685,
      0.562521879251247,
      0.610215164361804,
      0.57433703288934,
      0.515286961623267,
      0.55410403954439,
      0.552654154052056,
      0.607983384495632,
      0.555008154131556,
      0.632424496946431,
      0.576659791570936,
      0.579270617848424,
      0.578977544408204,
      0.688549081340219,
      0.544380348342305,
      0.618477472776446,
      0.58597415531946,
      0.613265253347756,
      0.518392520237844,
      0.554978014718676,
      0.618718322388735,
      0.578112594159398,
      0.589187961159039,
      0.546153864679387,
      0.546901828162609,
      0.551957972814338,
      0.45672931969894,
      0.649551396521914,
      0.650274475499447,
      0.629000791290667,
      0.565493952787973,
      0.589633136141205,
      0.649572540203316,
      0.388040233105075,
      0.385605671645396,
      0.503976641805877,
      0.490597379125598,
      0.505989178963281,
      0.462583995521766,
      0.401817960681939,
      0.344004744326706,
      0.516466020740058,
      0.574934350373808,
      0.636710474247583,
      0.522093135038626,
      0.411150071351507,
      0.422093179357751,
      0.346466982127045,
      0.549458389643873,
      0.561381107113585,
      0.582470368876956,
      0.536523474687427,
      0.461773794365662,
      0.388849456152763,
      0.525656875103461,
      0.442033777963746,
      0.589183069366243,
      0.526625892954597,
      0.548669314627237,
      0.497302464269044,
      0.571258958102777,
      0.477629138584092,
      0.545941275473412,
      0.518820814209319,
      0.426675032246146,
      0.517353041280379,
      0.569549663219528,
      0.517973640660065,
      0.480977057851437,
      0.467676145080405,
      0.470755650552152,
      0.460395543003058,
      0.53104808230441,
      0.568380554144188,
      0.553091650309942,
      0.454068991922174,
      0.465325604838498,
      0.438630709148011,
      0.333629664446338,
      0.491824978025729,
      0.595825932023542,
      0.535375641401549,
      0.429720719449118,
      0.432275478951459,
      0.451556379432927,
      0.509735776007715,
      0.551482006660014,
      0.556538414181682,
      0.508855074430768,
      0.480458211443404,
      0.602254844895315,
      0.575761264985055,
      0.513825236350731,
      0.572205224650554,
      0.582069874142243,
      0.565875948138308,
      0.570429547657746,
      0.607306524362334,
      0.491605200842036,
      0.545956751398754,
      0.555222924535132,
      0.593858310100294,
      0.54862794339733,
      0.462537004072334,
      0.558096244302161,
      0.576960289788353,
      0.56472289338764,
      0.592680958267157,
      0.62653780461936,
      0.54950781224605,
      0.58740078594534,
      0.519980348859596,
      0.677395482134186,
      0.523644286215279,
      0.56930623188944,
      0.634794552467475,
      0.590100547952572,
      0.488091184035892,
      0.506902585190162,
      0.595179415870121,
      0.533954767569237,
      0.558555401462892,
      0.578672596275139,
      0.516222638771058,
      0.573567192028484,
      0.526084954743852,
      0.6478066567981,
      0.551201143183384,
      0.633389125190576,
      0.59424825573043,
      0.56471788308759,
      0.544335793412732,
      0.460770182854752,
      0.641997872164635,
      0.540864260401255,
      0.513010409993741,
      0.561745156278422,
      0.525198263605874,
      0.628343763261041,
      0.442892000469785,
      0.605341900261545,
      0.545645814991186,
      0.651169548962275,
      0.575085949509268,
      0.527194953080444,
      0.579233216686292,
      0.516336203552506,
      0.418895822951291,
      0.375546476399831,
      0.342136380212782,
      0.398487729438509,
      0.425584641344086,
      0.414921388384096,
      0.366283695183992,
      0.469734889419179,
      0.385681535633843,
      0.472832862865473,
      0.480670131347833,
      0.424174024270904,
      0.482714670487713,
      0.433857386713513,
      0.412106160183778,
      0.481172172651985,
      0,
      0,
      0.359841205587669,
      0.230478727635377,
      0.223871845332314,
      0.227523394607884,
      0.329355399885783,
      0.452885610277286,
      0.394201146834463,
      0.406893650383796,
      0.358751867218599,
      0.263144373858407,
      0.193944576390125,
      0.305496013941479,
      0.304150401051348,
      0.48987610255419,
      0.188262942267222,
      0.265002719009083,
      0.332154114753333,
      0.265743943718801,
      0.20158818603634,
      0.206934715083894,
      0.44555777994108,
      0.265740671524763,
      0.323498558757285,
      0.240609651706203,
      0.304212701646227,
      0.292218919319649,
      0.260998653654499,
      0.512434713050177,
      0.488240586034038,
      0.562550934357333,
      0.530019130553712,
      0.571925693034627,
      0.458226145960778,
      0.468768159459746,
      0.415028679682945,
      0.563760363238552,
      0.691087050487164,
      0.569663025691641,
      0.596608712695102,
      0.543462460514374,
      0.571260367000492,
      0.612167661404486,
      0.548349940496742,
      0.542377208994735,
      0.56905455478394,
      0.509750611559133,
      0.532950392975532,
      0.562952540044429,
      0.524385689710105,
      0.578391269276859,
      0.54955241903807,
      0.655367834303283,
      0.459000793060001,
      0.509543344858479,
      0.464869174155832,
      0.357692988936927,
      0.507645600363083,
      0.502328119508863,
      0.606526867593142,
      0.455346858668215,
      0.594673898801059,
      0.542618086106013,
      0.439505502831245,
      0.498309508869885,
      0.677101816985415,
      0.542522444599152,
      0.609518752195055,
      0.570290509717169,
      0.463196197690513,
      0.497382716068991,
      0.593552327776337,
      0.489959268494115,
      0.516023870829306,
      0.500061308711219,
      0.582264620956241,
      0.428665754868992,
      0.622120446097517,
      0.61016862897343,
      0.512834186298936,
      0.492773452639433,
      0.618920257191988,
      0.543626436337162,
      0.360880173243491,
      0.441371731631813,
      0.602494904432087,
      0.331011480686675,
      0.470491984597182,
      0.511067932325237,
      0.697109306567452,
      0.56784311811402,
      0.589271331676921,
      0.62366905820794,
      0.501453473806727,
      0.516648581598197,
      0.584521266067544,
      0.575426906323164,
      0.474491819113538,
      0.630880390187227,
      0.696838895296477,
      0.550366889938993,
      0.553154462450438,
      0.571095009716842,
      0.476962741293103,
      0.47769088711093,
      0.594780663797882,
      0.508465875072753,
      0.446426973700989,
      0.622633740861091,
      0.625198492014081,
      0.384152724818344,
      0.366670288083745,
      0.60330641854879,
      0.472255855208522,
      0.3767095469851,
      0.539807381928443,
      0.634118599120007,
      0.582305151592736,
      0.434859911884265,
      0.596181124899924,
      0.515999221418277,
      0.461266766693703,
      0.492830572384035,
      0.569699795221641,
      0.440413577571845,
      0.353605756955882,
      0.583412083222641,
      0.521238170407061,
      0.489843873331415,
      0.49764594422867,
      0.572484244568956,
      0.52473493817542,
      0.45173893245703,
      0.470466093923237,
      0.714640331927985,
      0.534136958382976,
      0.636386674699196,
      0.47948173216178,
      0.527097729086744,
      0.543912658883286,
      0.467242674272175,
      0.42848979914661,
      0.505461054748613,
      0.610699885854916,
      0.639765360419321,
      0.577424948247595,
      0.554898817425529,
      0.562164676736889,
      0.519016416906646,
      0.539850285862463,
      0.54824446026708,
      0.637759219264799,
      0.564602518155947,
      0.593464490310319,
      0.619366781745683,
      0.626815545374812,
      0.542001669214329,
      0.556542620290101,
      0.626507606430905,
      0.607186556884819,
      0.510620324827974,
      0.600619712622654,
      0.517945255867635,
      0.554449238411952,
      0.341801502404821,
      0.610185069352124,
      0.594850647007405,
      0.686181581972588,
      0.463544721308241,
      0.615881521704776,
      0.553001492082569,
      0.58714550343171,
      0.5347153343556,
      0.642294909504608,
      0.543343624836395,
      0.524044627309106,
      0.586537739616205,
      0.584578972616525,
      0.374094440944859,
      0.50448748298366,
      0.683279433326503,
      0.649247993670517,
      0.561253921519742,
      0.572516425522048,
      0.619592885337259,
      0.632429092677546,
      0.587075313137609,
      0.593343015555232,
      0.567533047541712,
      0.552704929337247,
      0.573199462486703,
      0.54120893632652,
      0.465463599838352,
      0.514086995864687,
      0.540232127307663,
      0.626313199374743,
      0.588221037915651,
      0.615498471020532,
      0.485853250992485,
      0.508488825264277,
      0.505968945784531,
      0.463122702907199,
      0.367795057151542,
      0.497898686811874,
      0.578696341546395,
      0.493821468956479,
      0.351693037499708,
      0.473144289645811,
      0.432472419910653,
      0.408162858255333,
      0.509880830459514,
      0.61623904981183,
      0.47071802786962,
      0.401308406916181,
      0.492618234528676,
      0.664804348956516,
      0.437030831945028,
      0.423591555538989,
      0.620271284891863,
      0.620381670588028,
      0.428179540198996,
      0.524668675635726,
      0.666843592019013,
      0.426400919174329,
      0.39453044336238,
      0.367838973066909,
      0.443039897981621,
      0.587871151717317,
      0.558624430536947,
      0.395128480982863,
      0.447404828179314,
      0.381533594893623,
      0.445567282126859,
      0.538411725778767,
      0.519899616933808,
      0.513735181489446,
      0.378542497323001,
      0.478721316116099,
      0.610602051007258,
      0.423240259717817,
      0.468849183349953,
      0.483556803183676,
      0.536645472244015,
      0.631021853227929,
      0.517817198533201,
      0.445795620339306,
      0.410694103366124,
      0.454655105717946,
      0.406850767712466,
      0.581664935293675,
      0.552127803669413,
      0.432677836537533,
      0.559068668382663,
      0.436219337900738,
      0.385454267907623,
      0.429411839385559,
      0.460566255960958,
      0.606088190690508,
      0.423340562737649,
      0.426517095555958,
      0.564385327165396,
      0.473839911651692,
      0.553382681468824,
      0.669027054413559,
      0.61968311256499,
      0.45987715651148,
      0.583651361111573,
      0.583584301518729,
      0.581192384387752,
      0.566070160645013,
      0.500396547842878,
      0.614289946007069,
      0.426126054232916,
      0.553586562584466,
      0.508730077149016,
      0.589415646468145,
      0.486277595181289,
      0.644036999175339,
      0.550009250491954,
      0.52820295377938,
      0.501540831416519,
      0.569793852033811,
      0.536688037887813,
      0.659125529249545,
      0.481204420156854,
      0.408486108962914,
      0.512161468781883,
      0.468156645191567,
      0.482005460070661,
      0.527600755706807,
      0.572834925756619,
      0.444043762339576,
      0.556227782421854,
      0.563973128814383,
      0.604118881457938,
      0.485160809385607,
      0.581948051978802,
      0.600214171803037,
      0.551750885051885,
      0.566308564696249,
      0.50623152324584,
      0.468704257482764,
      0.534049825175575,
      0.589815185052014,
      0.619513708863495,
      0.543573239284279,
      0.709351499894781,
      0.526536184190576,
      0.520245769880569,
      0.508631696687497,
      0.605704251497181,
      0.482328605501625,
      0.519955157972827,
      0.601975031344064,
      0.671619206963338,
      0.519709513756287,
      0.527769844053401,
      0.574633950059899,
      0.559139883615935,
      0.54313323778497,
      0.471552106557797,
      0.542744460087699,
      0.553790734620586,
      0.508107586220981,
      0.595665273201041,
      0.666170105540245,
      0.470776342313999,
      0.619814199735098,
      0.628747668644667,
      0.536988040639938,
      0.54039666108211,
      0.528991272350885,
      0.621847866369694,
      0.453995388987325,
      0.521449533796199,
      0.473826651112466,
      0.571114402219273,
      0.517736165019021,
      0.611115244896466,
      0.634571468593615,
      0.478876167621862,
      0.52316225875756,
      0.568131846999633,
      0.615233809814738,
      0.517304934957933,
      0.520042636534437,
      0.490799644010586,
      0.564463670427789,
      0.537752365362805,
      0.691953286454063,
      0.560185222548681,
      0.608675005259801,
      0.576893628665702,
      0.650636163805186,
      0.547841484260454,
      0.62346155484273,
      0.661605851795364,
      0.585842798352416,
      0.605399964629868,
      0.546298515333811,
      0.500657402345072,
      0.47605180886258,
      0.458308542461641,
      0.611287179585174,
      0.649955880034626,
      0.631620509239665,
      0.552921486845398,
      0.618512624870411,
      0.597898918076502,
      0.371536257274972,
      0.308887970609897,
      0.412108216265812,
      0.380489119438064,
      0.428093351713969,
      0.422838603189399,
      0.368291343266355,
      0.259654191502683,
      0.466049908210406,
      0.608487694576903,
      0.641798107838108,
      0.519614880167325,
      0.364607744239656,
      0.334131625102737,
      0.278115226878931,
      0.544212626507713,
      0.553261495526963,
      0.506762621777204,
      0.423337202598153,
      0.258508892282016,
      0.536627577882681,
      0.48507272067332,
      0.363591059926865,
      0.417471230008037,
      0.503085166930622,
      0.516337117633198,
      0.484628429289232,
      0.56330854360851,
      0.360337976656073,
      0.553555035724273,
      0.548012125173511,
      0.46016581728903,
      0.447552436311186,
      0.599063127084771,
      0.527274583903442,
      0.452898009283323,
      0.481351544107082,
      0.42985523980253,
      0.460262703826571,
      0.550518930777321,
      0.593063346855412,
      0.510380331248668,
      0.430903080406582,
      0.488369338926101,
      0.48203710426676,
      0.422825948793822,
      0.474458879068154,
      0.599033865485949,
      0.415953527405083,
      0.392734539605874,
      0.38905213144961,
      0.474270992916998,
      0.499790116630566,
      0.438626174927881,
      0.548195751855471,
      0.438616368324078,
      0.498376070861024,
      0.58521293428765,
      0.612351502353305,
      0.55901642750261,
      0.516042802004017,
      0.547564783355965,
      0.568149732054808,
      0.515953767114974,
      0.499004716437327,
      0.439671947107951,
      0.582739370048096,
      0.449319669301537,
      0.594996287512701,
      0.638126799906624,
      0.510051902612528,
      0.578743933814436,
      0.609312274111214,
      0.584431387070485,
      0.524810626749349,
      0.561008152954913,
      0.509560606960222,
      0.565036416133021,
      0.558478051033116,
      0.664859933191768,
      0.531813560643224,
      0.570387366985258,
      0.582678934812591,
      0.65642505451201,
      0.465553000231251,
      0.579943113192923,
      0.635687606740536,
      0.604425800299986,
      0.594976770162699,
      0.538378977379136,
      0.517969891161026,
      0.555508079475002,
      0.498206099885832,
      0.623548206518343,
      0.547237349240246,
      0.613573419560678,
      0.586582193829344,
      0.635744927959262,
      0.523749623521179,
      0.553974760559178,
      0.650926178059521,
      0.600070111123203,
      0.538887509995344,
      0.598415508198255,
      0.516594318240435,
      0.584860971951273,
      0.349416947057565,
      0.534204540014706,
      0.628902634696153,
      0.666058744645922,
      0.532748147037107,
      0.596394606620823,
      0.562817073722423,
      0.486034534481896,
      0.456760664002343,
      0.378710717561749,
      0.333079156843158,
      0.452137643295328,
      0.419096643353117,
      0.423132777268327,
      0.389586800910091,
      0.49721737851509,
      0.397720275699056,
      0.493225970696897,
      0.513080813577277,
      0.416113639698226,
      0.52969476331857,
      0.467587714361054,
      0.462169206171091,
      0.550328838687784,
      0,
      0,
      0.267659524187764,
      0.289115151062808,
      0.243734189701715,
      0.195874789621085,
      0.333557860907165,
      0.369710345527203,
      0.290264310035577,
      0.270837434211518,
      0.230625880597002,
      0.233704405131822,
      0.18412608011223,
      0.271287846242308,
      0.268953729503597,
      0.372982058310743,
      0.2404822050617,
      0.30875581036498,
      0.405309661990823,
      0.303462529228063,
      0.180518318569023,
      0.203089777305496,
      0.436766734563562,
      0.282635710320911,
      0.343569309211332,
      0.314210659097982,
      0.321141704443108,
      0.305713063176179,
      0.248433276879092,
      0.546966367712386,
      0.485698515999445,
      0.464035582837807,
      0.393681428457563,
      0.458496410962955,
      0.51732806217577,
      0.467573150477738,
      0.465416285619237,
      0.578679023274815,
      0.499134881404129,
      0.5118986696367,
      0.475535727570715,
      0.507695718431756,
      0.617646373330728,
      0.619871599800412,
      0.523321159011518,
      0.582965960306007,
      0.612590557872006,
      0.529207404580919,
      0.641758239597105,
      0.46160598400367,
      0.504948900495759,
      0.587742793928315,
      0.683782257324894,
      0.590265290339998,
      0.467188193299896,
      0.544967617060398,
      0.471020725641533,
      0.418826482372079,
      0.534278809315477,
      0.446920349035452,
      0.597835273358418,
      0.432979899066615,
      0.594797742880042,
      0.566494447168421,
      0.464841624817812,
      0.512530732436906,
      0.449013278379784,
      0.517295807346234,
      0.479488728910983,
      0.672402364414186,
      0.467787031901094,
      0.450904835283462,
      0.484477583787411,
      0.565366521159777,
      0.584683284194232,
      0.56547557273856,
      0.550228908857868,
      0.621937582570391,
      0.560189489362486,
      0.597200337484332,
      0.629664710439925,
      0.528184930105256,
      0.495816596219567,
      0.628957406366686,
      0.308564772661651,
      0.501898775027224,
      0.623411238290537,
      0.404291331508981,
      0.455075956690368,
      0.524757080940575,
      0.653001160286685,
      0.472095865528024,
      0.537625253734917,
      0.650956674833595,
      0.531253473119722,
      0.523870578135171,
      0.531748640090685,
      0.589640697958128,
      0.603040035248026,
      0.648411167378762,
      0.723437185136079,
      0.538034997103,
      0.676061756545505,
      0.689142047556485,
      0.545595120165728,
      0.63601866648188,
      0.674476510271338,
      0.55826932698731,
      0.467196835421468,
      0.634598417464162,
      0.641504994894352,
      0.443480331731429,
      0.413824964552622,
      0.597148033012555,
      0.512906696060398,
      0.369298634093789,
      0.470834068291605,
      0.460728678123713,
      0.591887029452967,
      0.411101058625758,
      0.607696995880079,
      0.508947529245871,
      0.448992188671356,
      0.466550242633243,
      0.537093220758565,
      0.456038203801561,
      0.389363102505014,
      0.497625079074878,
      0.545592878198855,
      0.506871672380486,
      0.639042648593196,
      0.60650025143213,
      0.548475609361084,
      0.448738616541081,
      0.561193577710321,
      0.639935578608565,
      0.630191537245141,
      0.613268531665507,
      0.513059173561728,
      0.573641875829298,
      0.648829926159491,
      0.516136107629244,
      0.507523376772452,
      0.457666788553028,
      0.614632439204305,
      0.65414647365871,
      0.60597501400339,
      0.569875663557853,
      0.533934862385442,
      0.508610810756337,
      0.529238579228514,
      0.591125368889192,
      0.669165190813189,
      0.584114783658926,
      0.619712968253692,
      0.59419320958153,
      0.623069393140084,
      0.481286336889849,
      0.642352223838679,
      0.614560177294373,
      0.641587052312503,
      0.55805655319804,
      0.595694186047547,
      0.501791571940156,
      0.565185055515651,
      0.598018439388534,
      0.598618380946981,
      0.592803396324731,
      0.702266881451206,
      0.519619557956785,
      0.708947640292205,
      0.585086660485639,
      0.526388009602204,
      0.53214710446674,
      0.603570726018954,
      0.579257306174525,
      0.540426234247245,
      0.609203946884253,
      0.540575420906564,
      0.412386987424455,
      0.55729141549686,
      0.685991926508178,
      0.661909212491435,
      0.56692641140017,
      0.618658481132588,
      0.623430119902564,
      0.614257781796313,
      0.62052745159903,
      0.614159163670671,
      0.624433458516584,
      0.569430949496839,
      0.56004086908665,
      0.540913412313361,
      0.510489954519973,
      0.640470631874937,
      0.571377304592345,
      0.658674970042508,
      0.605452462420539,
      0.675953546870878,
      0.580093817965038,
      0.474082458799576,
      0.495155178317426,
      0.454577055132394,
      0.385973680082311,
      0.435816663807591,
      0.608675100478903,
      0.544291042834897,
      0.369283185215064,
      0.49873835619034,
      0.501777648862966,
      0.332589245495604,
      0.425013570584887,
      0.588522676907924,
      0.471297100046453,
      0.500085683065129,
      0.541786741553059,
      0.628462295579142,
      0.472393521839251,
      0.54017638963281,
      0.636725099224907,
      0.619735135187185,
      0.530877758433661,
      0.577049363140721,
      0.661046483442511,
      0.442810237852968,
      0.415709813857734,
      0.423171985224517,
      0.430671211692852,
      0.572904869070815,
      0.538278355970558,
      0.475674930257315,
      0.409355550848869,
      0.316955420761749,
      0.445107583881906,
      0.576404767975825,
      0.483056649778249,
      0.521973059109921,
      0.389137524724725,
      0.483009481808583,
      0.444320132546957,
      0.359971673173669,
      0.366428164943985,
      0.492911552336647,
      0.556789109016702,
      0.581558960991046,
      0.51379363979944,
      0.594292924605653,
      0.41202029944474,
      0.552674663075606,
      0.503286881766065,
      0.638941708330448,
      0.553776457381115,
      0.536378411422057,
      0.630383316321902,
      0.457634422935812,
      0.393763522077403,
      0.4633826461326,
      0.473872891603401,
      0.588947598439089,
      0.464558692462217,
      0.476636465157807,
      0.481133824713291,
      0.568355497559448,
      0.479722224793081,
      0.556176594727249,
      0.630557650124673,
      0.443694005674408,
      0.571805848837071,
      0.473357217035853,
      0.592350606163651,
      0.528808863678886,
      0.600255431562845,
      0.645294580372372,
      0.475654239630338,
      0.550663445662862,
      0.598900100758314,
      0.584929825457326,
      0.476593803880934,
      0.637890821623295,
      0.527560748220135,
      0.563946515194904,
      0.484631803941333,
      0.377583869542651,
      0.576912296852056,
      0.664036463732497,
      0.487499372325601,
      0.381687051886064,
      0.508524117153618,
      0.47370585670531,
      0.416759501185605,
      0.57682051344993,
      0.631085482288989,
      0.426081570033481,
      0.469831477215904,
      0.573750087928825,
      0.585516574120652,
      0.409653942701002,
      0.587875424509472,
      0.613232371031731,
      0.535665349119675,
      0.642163046737079,
      0.676227210077088,
      0.573910096150955,
      0.626585908910031,
      0.643907862458202,
      0.65535624872509,
      0.546975656447344,
      0.597335014881531,
      0.501509222389365,
      0.50997770074343,
      0.502723460585382,
      0.619139574525296,
      0.590685506198458,
      0.582165683512585,
      0.552222806671773,
      0.670126113442662,
      0.579913741214993,
      0.523788421685801,
      0.564849272512693,
      0.544797157364557,
      0.55624370404272,
      0.491427948621457,
      0.581482152541246,
      0.64588107587057,
      0.56945337529676,
      0.536410295647035,
      0.61707112353429,
      0.533454157015674,
      0.627996546354564,
      0.681515526142022,
      0.587977580548909,
      0.63648951452158,
      0.509226036802383,
      0.666463681663694,
      0.520776306544857,
      0.604930192968536,
      0.539424512942731,
      0.675226374183407,
      0.511507939214258,
      0.521150505989288,
      0.580330925454251,
      0.477415958862221,
      0.553716925012843,
      0.62606404192497,
      0.618772386183122,
      0.523912612730412,
      0.508075364911534,
      0.518511413431859,
      0.575915356094109,
      0.595299646501331,
      0.696532923454222,
      0.584559133148663,
      0.597602250100171,
      0.625342317178065,
      0.584636842425376,
      0.519768181891389,
      0.644960841125966,
      0.663685756376342,
      0.618986724077304,
      0.654474860633074,
      0.541011806226357,
      0.520086293674291,
      0.558962182837224,
      0.663407610613542,
      0.626643174975824,
      0.658090183382532,
      0.648904487369578,
      0.54474804128852,
      0.694035312465046,
      0.587421669797874,
      0.352404086299782,
      0.352276355708239,
      0.394049595148081,
      0.406002715502027,
      0.397477405738746,
      0.359003322067474,
      0.325458390207331,
      0.233953102884804,
      0.408687789000517,
      0.48610055946864,
      0.644845672306092,
      0.499475162406546,
      0.314773991898411,
      0.348239595145464,
      0.240873020696379,
      0.530947515082535,
      0.529409964854106,
      0.543552662766587,
      0.424753788293423,
      0.322032320656827,
      0.506944207587763,
      0.485589351198239,
      0.452252131893964,
      0.496110454674451,
      0.440565498251103,
      0.472012631386433,
      0.444500262614895,
      0.507110083687192,
      0.481019469845584,
      0.467372535183547,
      0.538484801912128,
      0.492520234740912,
      0.49188270850096,
      0.562167195034871,
      0.518764414192917,
      0.460428373416504,
      0.491658841231801,
      0.530381617365877,
      0.493218709477782,
      0.522079312560465,
      0.589516726100646,
      0.542466516158582,
      0.52609144710551,
      0.637852440877251,
      0.588522458926693,
      0.526438773625336,
      0.541314539464408,
      0.685066213654051,
      0.549007132762531,
      0.44989848669238,
      0.558245002409185,
      0.646013520717241,
      0.500203736691884,
      0.466261305620731,
      0.550944690597086,
      0.481749484923993,
      0.542981944484102,
      0.571894588635542,
      0.619498574181989,
      0.611507907905429,
      0.520960839837503,
      0.549519874391801,
      0.594976400649812,
      0.543658634422017,
      0.585272495637159,
      0.482867848029413,
      0.63608392690104,
      0.483956365879977,
      0.527311489185641,
      0.593818933939615,
      0.502461203346191,
      0.702363986400254,
      0.651724036743884,
      0.585666769112236,
      0.575921681531657,
      0.546515009863613,
      0.602648455818187,
      0.565079203538192,
      0.610281602605949,
      0.662706820247654,
      0.580396434202631,
      0.506437786940811,
      0.560220117921087,
      0.573753230728207,
      0.505569698546987,
      0.577502607288005,
      0.604475007145728,
      0.608249195519715,
      0.622317869518198,
      0.525768253964325,
      0.521249520116848,
      0.520422027939308,
      0.553163323226828,
      0.656649948669217,
      0.528047828885885,
      0.629715733585221,
      0.562631025266086,
      0.639949944585672,
      0.520936234573447,
      0.649717975615323,
      0.617989582723346,
      0.624692857084351,
      0.586701075228473,
      0.612079925919756,
      0.483301958117351,
      0.577132954255799,
      0.621904186119384,
      0.599962617231866,
      0.647595522689039,
      0.62919979358713,
      0.525559600865169,
      0.686042054039968,
      0.607211967786944,
      0.52419309728933,
      0.515984784796022,
      0.461069400587822,
      0.358517488607046,
      0.489371986153932,
      0.456553206125594,
      0.443988407231073,
      0.45623412249312,
      0.518394147321819,
      0.446698215601102,
      0.508789153952278,
      0.537247338755928,
      0.386782213466985,
      0.454318685515541,
      0.637298039029833,
      0.611499888362803,
      0.65574896443398,
      0,
      0,
      0.32175377381816,
      0.405417586331305,
      0.335020315734659,
      0.253535970291281,
      0.273602718148544,
      0.350552057239209,
      0.337216986880763,
      0.309450329618177,
      0.296602889710007,
      0.312354137724369,
      0.269822584417279,
      0.265919042000255,
      0.275277640109749,
      0.398007259876515,
      0.452752521432952,
      0.488106525041493,
      0.395572057180593,
      0.348505346254805,
      0.353633056969789,
      0.305668584197139,
      0.432846440502766,
      0.342863844345457,
      0.526182997689958,
      0.461475987545913,
      0.423921839342086,
      0.373017734775832,
      0.327590345293426,
      0.549189148800287,
      0.547281335287788,
      0.49557960337458,
      0.443575024546301,
      0.599963062676745,
      0.457430971391861,
      0.586942234768383,
      0.495569876810609,
      0.564017820240113,
      0.490142812584315,
      0.505899145100034,
      0.459010567234916,
      0.509239703381404,
      0.627234564978642,
      0.588123828880338,
      0.513448175242004,
      0.541681815981456,
      0.628303994756121,
      0.507655951536289,
      0.606698347412255,
      0.500030350235213,
      0.558211792697084,
      0.542708211663723,
      0.642567547169985,
      0.55643434174074,
      0.469794134064862,
      0.55480158167732,
      0.495280032880223,
      0.438834864017938,
      0.551640447814138,
      0.541559789267046,
      0.599001618294022,
      0.544511883974109,
      0.517295592014698,
      0.656550288576867,
      0.470093485111331,
      0.52787280009635,
      0.49540336383694,
      0.497006987429495,
      0.443917393565703,
      0.609130884186749,
      0.430423373338435,
      0.432478060988754,
      0.493898202058523,
      0.512742260986298,
      0.595643306277837,
      0.551363142174464,
      0.587427289754312,
      0.592071360383663,
      0.533221381715829,
      0.613471956025859,
      0.578748038241992,
      0.501597890752635,
      0.454504495856106,
      0.675481538550117,
      0.434796986545359,
      0.511718421792213,
      0.603785557347068,
      0.477466883287029,
      0.434129132737663,
      0.554184002122864,
      0.592049130518588,
      0.449893441599347,
      0.541080102134767,
      0.612853629369251,
      0.529992699804943,
      0.447742588944363,
      0.554324700471192,
      0.549865953331817,
      0.644905139033869,
      0.545778808352418,
      0.681915079591828,
      0.508797596699917,
      0.631143189969963,
      0.656619232715704,
      0.512852360382142,
      0.682275428118013,
      0.66662684448822,
      0.558468033855287,
      0.528088757637735,
      0.556721195019257,
      0.576039527917913,
      0.465208138218179,
      0.423215988263043,
      0.673983016318281,
      0.534628353326454,
      0.384289324829342,
      0.511369440689581,
      0.517779369120907,
      0.483384897577487,
      0.407014901203846,
      0.603226157510439,
      0.571582481259401,
      0.405566118790833,
      0.450666173247753,
      0.600341229142116,
      0.424789728097331,
      0.409001346565023,
      0.555464573491709,
      0.483010923576314,
      0.493049892951345,
      0.602726869390131,
      0.568880509353357,
      0.499902457246969,
      0.441809346606284,
      0.605368361290073,
      0.573314872542061,
      0.585172357571811,
      0.586445478308193,
      0.532046306446874,
      0.606580837801699,
      0.609193541397411,
      0.559295101050609,
      0.567726483103265,
      0.469737141892576,
      0.602481235727513,
      0.630645933058101,
      0.576049653928069,
      0.588767569412566,
      0.563077858979088,
      0.55135678500327,
      0.592068651152585,
      0.604113865195788,
      0.65791218899351,
      0.608860060167273,
      0.606365803073645,
      0.592001418172889,
      0.624597847862789,
      0.518002855332957,
      0.596920901717213,
      0.612541888428302,
      0.655408914197956,
      0.559336871632826,
      0.57390022519981,
      0.494544911655988,
      0.56559061555282,
      0.544979878636431,
      0.5955977980517,
      0.597372835500981,
      0.668381893957478,
      0.519720593270298,
      0.699612212033453,
      0.61891213054035,
      0.576441013613751,
      0.540013194541341,
      0.630647545553012,
      0.554558402605954,
      0.546228861264077,
      0.62661586438198,
      0.556756235265343,
      0.448182379887837,
      0.601264136694464,
      0.649698196056904,
      0.689091994916317,
      0.60553187267231,
      0.670135021246029,
      0.6755048678871,
      0.646899652174682,
      0.647017554987417,
      0.607060372484291,
      0.636308401731244,
      0.503579821718772,
      0.586012146345836,
      0.589754649786248,
      0.497439664081106,
      0.59581999687853,
      0.593880970259323,
      0.668177232832034,
      0.715161346553371,
      0.710670209360065,
      0.580076979794811,
      0.438516860588128,
      0.521244428856027,
      0.493300555385027,
      0.438873101297161,
      0.536517693352106,
      0.560340797041188,
      0.494808517440361,
      0.377144037468256,
      0.516370557163566,
      0.476022133377124,
      0.372757441335695,
      0.498917436142583,
      0.561385947911633,
      0.463135605979423,
      0.512482035569614,
      0.529990509381516,
      0.636246894787696,
      0.45914039741689,
      0.527563770879087,
      0.606214173220301,
      0.630884833494612,
      0.517577969943009,
      0.548341789155479,
      0.620416972516655,
      0.421255934598469,
      0.479953220038874,
      0.411624040690312,
      0.45700527371268,
      0.548167312070327,
      0.43659818762881,
      0.601950943653327,
      0.498909503170042,
      0.425460264036862,
      0.47708410492386,
      0.640492760167128,
      0.512239738659285,
      0.447453417547517,
      0.413061381693005,
      0.47398456120214,
      0.452714262430785,
      0.440598940917926,
      0.398964092245895,
      0.476569973917104,
      0.528967405117348,
      0.57862887853314,
      0.495351546418076,
      0.574122851892149,
      0.456300219528649,
      0.543169660675732,
      0.523098231307025,
      0.666001182227924,
      0.528031824512524,
      0.508439521808417,
      0.642985150173577,
      0.464357295084984,
      0.433709750850958,
      0.444295893496042,
      0.482097209626102,
      0.535753429665657,
      0.566871262237492,
      0.483592273898926,
      0.591712174026214,
      0.588968875168213,
      0.476460869250428,
      0.435702492047392,
      0.543884241182752,
      0.338857022724308,
      0.564940138817314,
      0.506985890969817,
      0.511790175553888,
      0.501202366064602,
      0.561811264653081,
      0.577044053910114,
      0.473001906508762,
      0.559664930606327,
      0.645681177602526,
      0.54010377902249,
      0.458292556681313,
      0.591199876982771,
      0.524573802791119,
      0.548128515542295,
      0.482102523107328,
      0.456112789066277,
      0.588961583137668,
      0.636634383325557,
      0.476487821020835,
      0.37019133998224,
      0.491930210343171,
      0.488318996880858,
      0.583573793902607,
      0.509615686724893,
      0.657953780862002,
      0.446824999922005,
      0.422947171270417,
      0.490817048703405,
      0.567419446893308,
      0.418721314093839,
      0.644389899484904,
      0.619378198966166,
      0.523395685302895,
      0.617968811075159,
      0.61386406709466,
      0.514164994210699,
      0.633916018059998,
      0.611657885521657,
      0.623702370940238,
      0.4791168418183,
      0.543301213109948,
      0.581562149145696,
      0.490888161240645,
      0.499711632107741,
      0.609655104366172,
      0.533537460240728,
      0.518380658278802,
      0.572584772860151,
      0.675519118608249,
      0.577711694143889,
      0.524111702019974,
      0.616873582494083,
      0.623478299499608,
      0.549295690021306,
      0.554019117335808,
      0.566240012681131,
      0.596761074351728,
      0.585643959950976,
      0.589605145851571,
      0.668162142929143,
      0.493920621249215,
      0.633262145944528,
      0.692017415040618,
      0.578309021932392,
      0.596022579334896,
      0.576381023983807,
      0.646952266422418,
      0.510695559903707,
      0.633651194648462,
      0.520397010758724,
      0.647171367282952,
      0.58533123880386,
      0.575605114670887,
      0.624203243561133,
      0.504053052891265,
      0.586595669920386,
      0.609491979972687,
      0.620469958626266,
      0.558044492677912,
      0.566962133573245,
      0.593043292848436,
      0.600482031531512,
      0.581805335428412,
      0.674081102449195,
      0.605514621577179,
      0.622125459107268,
      0.66812043870804,
      0.611634087906445,
      0.583931578083768,
      0.591346529404746,
      0.648481758327698,
      0.635179252060736,
      0.639577819365118,
      0.540012242195828,
      0.530256443303539,
      0.546241650944424,
      0.61673403694192,
      0.591966219074523,
      0.660481413408579,
      0.5841073193858,
      0.557407963900425,
      0.699033888262585,
      0.625854012194831,
      0.394584808547522,
      0.313786473629091,
      0.383215762449571,
      0.317246018836844,
      0.364988177894956,
      0.39772673094206,
      0.345020311410923,
      0.264584606977051,
      0.439473242989293,
      0.528551340792605,
      0.631028340693611,
      0.422740304001645,
      0.305039289377451,
      0.335287652851253,
      0.320637454003476,
      0.559168418531894,
      0.505964034902764,
      0.439523411500972,
      0.525499630317248,
      0.402488595277325,
      0.475362581256815,
      0.47514733148181,
      0.473871125345058,
      0.406469909060195,
      0.502604195474707,
      0.498239914920748,
      0.462925721157065,
      0.578253063734446,
      0.518346173372756,
      0.535749310544334,
      0.533466350139082,
      0.508539283957843,
      0.537029749136337,
      0.533900056686141,
      0.570650056279786,
      0.496967655247975,
      0.515555091932092,
      0.565886271939864,
      0.429527744187089,
      0.496428707497592,
      0.576455601712645,
      0.52919894060674,
      0.50774880485029,
      0.576131523706955,
      0.552733675348505,
      0.505361930943909,
      0.526073989087267,
      0.631798589535944,
      0.530307961226091,
      0.500104169067886,
      0.576490859230349,
      0.605445815598821,
      0.460604001543807,
      0.441894100331953,
      0.496851845309713,
      0.497744437408925,
      0.482663745138758,
      0.593831783148471,
      0.661303317751147,
      0.564626766396349,
      0.537049350446138,
      0.598649073949868,
      0.595831488684204,
      0.555735481564593,
      0.629506769650145,
      0.497491179412617,
      0.588178053217003,
      0.588139233323472,
      0.554831297230185,
      0.648431030039599,
      0.4859098006389,
      0.670613030840679,
      0.627281580645804,
      0.555615466634605,
      0.572934940930765,
      0.539608437611972,
      0.598930261854413,
      0.538070003007356,
      0.602740651127801,
      0.631594606718609,
      0.597949431108126,
      0.581040537718681,
      0.615644876316321,
      0.631514022789492,
      0.576872020987373,
      0.530149461676337,
      0.586395829195851,
      0.596727925385841,
      0.636208505119469,
      0.582453563902352,
      0.548507838644094,
      0.6083357798638,
      0.564199329065012,
      0.666373582583428,
      0.530966974497025,
      0.610565082007686,
      0.574335371117382,
      0.645507465272415,
      0.566658450168273,
      0.587809415524035,
      0.614856251396187,
      0.589803365288214,
      0.574068221968655,
      0.594460808041218,
      0.555639358354955,
      0.596997523755757,
      0.573034265578293,
      0.641463677342053,
      0.611823343977212,
      0.571065221308391,
      0.574643805817789,
      0.639785326603448,
      0.647445413037254,
      0.561631115490579,
      0.513264248104338,
      0.481330886791723,
      0.40304427591227,
      0.488561877715184,
      0.466777029217442,
      0.470717121014434,
      0.483833027141539,
      0.527575242237623,
      0.471686416185536,
      0.524356357816478,
      0.562679067900832,
      0.367779434266972,
      0.430852923230541,
      0.617488852800471,
      0.544424122820566,
      0.623729375360038,
      0,
      0,
      0.522550455976201,
      0.392682457625612,
      0.369494384274429,
      0.352455545707056,
      0.349982317141038,
      0.463902459512364,
      0.458052691300985,
      0.491422094268803,
      0.40693828697,
      0.394059744407383,
      0.294955355376157,
      0.351930555061399,
      0.274466986377767,
      0.486421735498116,
      0.390300398025421,
      0.415289253056716,
      0.233632003769609,
      0.247797950686891,
      0.319751132956045,
      0.250893673631753,
      0.373188891997037,
      0.28739289618761,
      0.468438035851415,
      0.373519996872105,
      0.310997718437028,
      0.30475924570782,
      0.271268267525209,
      0.526216808112682,
      0.573494919091674,
      0.695441412304986,
      0.550961067407646,
      0.637504337286951,
      0.495112564050058,
      0.614374651221839,
      0.468601656949484,
      0.529299740998683,
      0.699752521468256,
      0.536313023633398,
      0.543264131602354,
      0.503468820136792,
      0.610200339578597,
      0.540583410488548,
      0.64205602386557,
      0.553894183185942,
      0.559524289587446,
      0.563905467240137,
      0.550108464117445,
      0.570281103473262,
      0.518033041981918,
      0.504012553981521,
      0.544536328238775,
      0.62689382555523,
      0.496357882444402,
      0.587971238877781,
      0.437455159623212,
      0.404977490640145,
      0.465923889619413,
      0.642975751698491,
      0.633577846992206,
      0.517526035619962,
      0.56427372473286,
      0.591369154383737,
      0.49185070894118,
      0.507363594709139,
      0.565349612065747,
      0.494692219787106,
      0.576411043844462,
      0.495430812051488,
      0.420435657722508,
      0.499508017523334,
      0.538346906771784,
      0.49870044973778,
      0.606260265485539,
      0.551215040234495,
      0.608444826770639,
      0.508195714862981,
      0.528695632757955,
      0.591490438454705,
      0.453230046074064,
      0.533708575810636,
      0.594982245170007,
      0.595305379387904,
      0.433275025751175,
      0.431816494986895,
      0.551239041712838,
      0.42471344581037,
      0.451989526874686,
      0.554799007834788,
      0.538659235939939,
      0.418001597887762,
      0.563301492179837,
      0.616257338908725,
      0.518231561944982,
      0.437824869004359,
      0.567108038763677,
      0.501115600910328,
      0.506537662726698,
      0.570238132978939,
      0.720253432663851,
      0.488427914529576,
      0.477933662629835,
      0.495916830656413,
      0.439961239105657,
      0.544356253986732,
      0.696917102498831,
      0.495321505899544,
      0.43373678615925,
      0.565071048073265,
      0.535961619117647,
      0.475747149027837,
      0.418795441204124,
      0.57725334770924,
      0.525174031371953,
      0.354392462106647,
      0.533178508637157,
      0.589924347745978,
      0.507591783994017,
      0.405902008137319,
      0.561765996579856,
      0.517513080357051,
      0.434181438642439,
      0.437272746132396,
      0.589665911042731,
      0.453182447063262,
      0.38928461565061,
      0.534215098890021,
      0.583267205521076,
      0.471748031027108,
      0.536341645501039,
      0.569436370384888,
      0.488897472757271,
      0.431857668586502,
      0.509679148376205,
      0.549354167074251,
      0.522837579486424,
      0.570951421376176,
      0.490082713537139,
      0.646018571374714,
      0.517681475251604,
      0.528753046142601,
      0.528249559536033,
      0.460851729925845,
      0.646652213989719,
      0.694845879929317,
      0.54537576864738,
      0.535219149095646,
      0.574509196095732,
      0.48979907050436,
      0.592229102922325,
      0.594567141787089,
      0.63755642270993,
      0.523836559959328,
      0.609716376865723,
      0.603035526473998,
      0.638806433971865,
      0.579708195176509,
      0.539645276642911,
      0.695415849711965,
      0.562058077870355,
      0.51162839568858,
      0.517146333842228,
      0.532907538642926,
      0.604485444089258,
      0.445724374944263,
      0.559523404786327,
      0.582975692184817,
      0.632768749704543,
      0.499041061800369,
      0.660567254785186,
      0.606674647617243,
      0.607865929121303,
      0.506812213115678,
      0.655283125381765,
      0.491930783678741,
      0.499697114895488,
      0.545523949424121,
      0.588843134759824,
      0.467276539085834,
      0.510365804757744,
      0.6527585523307,
      0.652717716560379,
      0.607167921395113,
      0.646568925666535,
      0.685735209945493,
      0.6065688255726,
      0.700489139783558,
      0.592908953230391,
      0.597657883240757,
      0.454299263837226,
      0.540282447028625,
      0.591372364079134,
      0.494026620353784,
      0.49585826432621,
      0.586056073031728,
      0.648501432501914,
      0.659733875267572,
      0.668278683474422,
      0.544345964555845,
      0.432300731628977,
      0.51184965041761,
      0.640061656982777,
      0.439755465980915,
      0.60681945849491,
      0.525607014513473,
      0.56842474055061,
      0.438864393538974,
      0.493893309601441,
      0.455638094191909,
      0.419076604494702,
      0.51454175508411,
      0.564730381245308,
      0.59046943523079,
      0.492588026914633,
      0.461044412192033,
      0.616666818115878,
      0.408993596435393,
      0.568291877328172,
      0.61984657451452,
      0.667662030989763,
      0.473460871542241,
      0.499404769984689,
      0.53264127861028,
      0.447091147829321,
      0.500479673628688,
      0.442592234654602,
      0.431368862636102,
      0.554175905371284,
      0.443464443658993,
      0.575411801851392,
      0.533938406576838,
      0.576369084475595,
      0.528528210367992,
      0.631163857778168,
      0.499526214611654,
      0.494607227713247,
      0.487645067043937,
      0.532418903514498,
      0.508388699151491,
      0.51236660209678,
      0.531879033506827,
      0.603929082064486,
      0.504981472577115,
      0.554385099801183,
      0.504463048741191,
      0.591956416808116,
      0.53968553896884,
      0.513483037097781,
      0.522911343068366,
      0.634061948776221,
      0.558467959108149,
      0.459075507304758,
      0.534199284362108,
      0.469379268938741,
      0.458372778519357,
      0.444662168402234,
      0.505797062197454,
      0.549589562584266,
      0.563402493381762,
      0.461725427621979,
      0.585640161812207,
      0.495418439887158,
      0.481871517802716,
      0.471921634992213,
      0.582194068412081,
      0.40003707716101,
      0.54542141246097,
      0.551685740969923,
      0.480698642450345,
      0.573574185132457,
      0.42274265798417,
      0.56683598265963,
      0.493640879774099,
      0.555266987115643,
      0.624473320668488,
      0.540410183442348,
      0.459204672412182,
      0.543765993544161,
      0.482193875048215,
      0.525713933914186,
      0.510577560267581,
      0.584800168817438,
      0.512747723823344,
      0.63015202895105,
      0.49420854478977,
      0.370554700881261,
      0.516832507968999,
      0.471917476451758,
      0.618594196355967,
      0.542177939905812,
      0.626137214864557,
      0.414470603079912,
      0.485240523819572,
      0.526078938343552,
      0.594137080086157,
      0.41013717465484,
      0.513336030241578,
      0.594696786485737,
      0.484619842174994,
      0.492906847817083,
      0.485052924961717,
      0.510060226496355,
      0.606213360227564,
      0.577803499973771,
      0.597344050691234,
      0.462594664613401,
      0.616607794351519,
      0.628681735732121,
      0.544032831219335,
      0.470480205344666,
      0.576670883021248,
      0.450127737870827,
      0.463640736458138,
      0.586226142338653,
      0.731727130804025,
      0.512777911414229,
      0.52744563032134,
      0.566978284558644,
      0.64881707669069,
      0.5200811082146,
      0.504438126988791,
      0.614097908134804,
      0.556735524346343,
      0.536319878892515,
      0.608191103388616,
      0.649310511213856,
      0.491811129130355,
      0.664701546315326,
      0.675652242283746,
      0.570290600206349,
      0.530558234129715,
      0.598305828908209,
      0.564690552235056,
      0.463905042740987,
      0.520563535862519,
      0.433933233715797,
      0.558297547518621,
      0.51839408897682,
      0.643548141979219,
      0.595788932229459,
      0.530894321394805,
      0.604938073327458,
      0.678918969288083,
      0.557280964759193,
      0.519972091540981,
      0.551620693608797,
      0.53759658443349,
      0.588689494550144,
      0.538511860299342,
      0.632844931254448,
      0.569438301500052,
      0.622966211526742,
      0.656811077866231,
      0.611548105251346,
      0.589975324834042,
      0.633717792259791,
      0.70929754540951,
      0.594369523623579,
      0.557500160186356,
      0.541723351242291,
      0.510582012952826,
      0.590273361932167,
      0.462376543417482,
      0.59811835744617,
      0.579139957274055,
      0.599602698833392,
      0.56152704882084,
      0.654896100119998,
      0.623291635812522,
      0.449327552210943,
      0.418017409775466,
      0.52337072959636,
      0.40145419291518,
      0.394646568359435,
      0.424348476903948,
      0.393499366991864,
      0.321024936087363,
      0.435875284883636,
      0.448784944320049,
      0.585892483240072,
      0.438902823076765,
      0.287450175055474,
      0.348457540090983,
      0.23713737136111,
      0.464473955284182,
      0.414123896655813,
      0.453020556180626,
      0.498816462390551,
      0.294240979595612,
      0.43870987575159,
      0.449945002445706,
      0.353932976324889,
      0.389716285373011,
      0.402048777421369,
      0.477971932166624,
      0.463679753951482,
      0.567174418855941,
      0.503649283339191,
      0.485131951713132,
      0.544869475461796,
      0.477782294469693,
      0.476159184971006,
      0.572258485923249,
      0.579224104451934,
      0.486802355840094,
      0.543384736971496,
      0.521499425301523,
      0.445999306533014,
      0.502754053898485,
      0.57159084536908,
      0.573649126161026,
      0.532134610312015,
      0.446651744227575,
      0.506255097504452,
      0.484967573621199,
      0.540133457005782,
      0.560152928881864,
      0.516632974170823,
      0.512936621015957,
      0.471745767543425,
      0.446849657721569,
      0.41241767924512,
      0.507119229477014,
      0.46169023385327,
      0.492757859967985,
      0.462697766745292,
      0.628452700619731,
      0.682886097901194,
      0.574342274111421,
      0.546854172399466,
      0.569818343346846,
      0.58667795002921,
      0.493919325077716,
      0.499834790367313,
      0.505249275604088,
      0.597082047768854,
      0.518113333285249,
      0.619385272392558,
      0.64674909241664,
      0.531485759296819,
      0.645153123006662,
      0.655959977187557,
      0.550287971163456,
      0.550145212843763,
      0.55291298126228,
      0.532369434663499,
      0.49759475406311,
      0.550189098276705,
      0.603800146718275,
      0.600033815906208,
      0.54443181477855,
      0.662812616553204,
      0.620166087295753,
      0.523566170578974,
      0.627282970066203,
      0.669664774331424,
      0.527135904320523,
      0.561639733753977,
      0.54225868405034,
      0.546732402188391,
      0.607693971457684,
      0.547578482848358,
      0.61617333170442,
      0.49634541368686,
      0.596154058223021,
      0.521762203846815,
      0.64164922038794,
      0.598926099575597,
      0.511565701342155,
      0.696745121205474,
      0.549594687520886,
      0.508156048155677,
      0.555620956479525,
      0.492228090872306,
      0.578814269448025,
      0.45150585026838,
      0.560360451652503,
      0.594427000531229,
      0.626449090231829,
      0.576568799537809,
      0.6224346674252,
      0.652670936532543,
      0.550357330807611,
      0.488197183624364,
      0.438834332926632,
      0.420783876945362,
      0.492179661558765,
      0.515680086042168,
      0.501075523879901,
      0.470306677231943,
      0.566790093704348,
      0.45971887438331,
      0.551538732066706,
      0.572059307772015,
      0.545353383086181,
      0.632534056770462,
      0.527544578590212,
      0.506989592059229,
      0.627677360990035,
      0,
      0,
      0.494702723475386,
      0.309384082213979,
      0.325899714854285,
      0.330526219680292,
      0.31443041146501,
      0.441297025719444,
      0.426793921258796,
      0.452575092811669,
      0.390757598619877,
      0.374605676108473,
      0.246717025807904,
      0.341405099915656,
      0.277531401915661,
      0.421026132420888,
      0.223581893797502,
      0.29756994477699,
      0.320440970680456,
      0.275229375793451,
      0.239125254559672,
      0.255440189526604,
      0.38227129883643,
      0.28503665935151,
      0.252620200392213,
      0.2836137556718,
      0.297737786539973,
      0.299065609633366,
      0.295066296007393,
      0.488432355510401,
      0.44823746146038,
      0.600824694272137,
      0.465539655664856,
      0.472920280299285,
      0.550349421438514,
      0.531596924058867,
      0.443687501315974,
      0.490533160174063,
      0.651083484493335,
      0.51388522299052,
      0.496658861355365,
      0.516709196002369,
      0.554699962021715,
      0.558374842716159,
      0.642051073085052,
      0.488054079582356,
      0.557899151293062,
      0.563551174937266,
      0.497620938533073,
      0.510305325974892,
      0.515150242861685,
      0.483359199813642,
      0.504370823044976,
      0.634194058990186,
      0.462719278300473,
      0.547417785427708,
      0.430927482687747,
      0.354979900300459,
      0.464733999590362,
      0.501615933877966,
      0.574553372526783,
      0.408852239069822,
      0.599982458516732,
      0.544582589198556,
      0.448454714485732,
      0.500162513998633,
      0.497020483133012,
      0.502231192535938,
      0.54778194286877,
      0.509756667747273,
      0.403696001996048,
      0.520692226530929,
      0.545250468260188,
      0.477024484531924,
      0.572979112039567,
      0.538668685291249,
      0.528000644541408,
      0.428622505875229,
      0.570021248153701,
      0.57881531371316,
      0.465935710192567,
      0.529025480503643,
      0.583013647871795,
      0.533100472271882,
      0.412608080966761,
      0.377426979517676,
      0.590124732006336,
      0.425764481432161,
      0.433585958465484,
      0.532425197170112,
      0.485949552490188,
      0.425194784329726,
      0.496650916911124,
      0.572518959178029,
      0.521077808391767,
      0.429497620337156,
      0.558589798205907,
      0.478263161391243,
      0.505514839065215,
      0.568648705858299,
      0.68181080865751,
      0.508418308754729,
      0.453161303072863,
      0.483626064029997,
      0.374825588388787,
      0.519411468300079,
      0.626524942744559,
      0.500660253023523,
      0.490231309268026,
      0.586429968359236,
      0.487819338253048,
      0.402692063409513,
      0.50976066355394,
      0.570651219528852,
      0.513189298697164,
      0.356629253794378,
      0.49496678747667,
      0.535603695913,
      0.521098659875049,
      0.417899855980229,
      0.552750849657031,
      0.540389285987556,
      0.406644509644516,
      0.448961395935367,
      0.506106634484569,
      0.474583105370049,
      0.410751252526476,
      0.522655290358482,
      0.57926620939646,
      0.413755452516116,
      0.457710132357307,
      0.489112430096731,
      0.460271437613681,
      0.365238814162243,
      0.48300590129511,
      0.565331727631551,
      0.550372457632957,
      0.595172602157731,
      0.437689470691072,
      0.508112869282536,
      0.539691677000387,
      0.453088483331576,
      0.506415154982971,
      0.449607610492281,
      0.645833792453769,
      0.648460560134603,
      0.588722405679411,
      0.52310841044685,
      0.576641062108069,
      0.476203626942405,
      0.515805749686078,
      0.599360233802154,
      0.632170531586523,
      0.514753555032241,
      0.595739174798083,
      0.554982121132393,
      0.651693331280278,
      0.58014407861921,
      0.534665123967385,
      0.660811713395116,
      0.558280847918414,
      0.505521550442175,
      0.539271646713091,
      0.487627093331507,
      0.541014792527101,
      0.448716845919076,
      0.628429408516736,
      0.569459088353587,
      0.665716278588475,
      0.444802038255286,
      0.654601415677419,
      0.574294318934411,
      0.526558886050256,
      0.529834179653141,
      0.579920245886591,
      0.469016554439563,
      0.483247731284711,
      0.549701386250826,
      0.579417355401495,
      0.455828944954525,
      0.504775804259416,
      0.583366647402202,
      0.631597344184194,
      0.528289981423785,
      0.618611877534035,
      0.665268766436775,
      0.550209798905984,
      0.645258646923681,
      0.575906792262624,
      0.530703249669229,
      0.447852293969315,
      0.537150535407186,
      0.584797141582265,
      0.496504150360352,
      0.472944186625634,
      0.580118357035008,
      0.605556302399753,
      0.661175583899373,
      0.62203408370194,
      0.526574579102308,
      0.432778033694953,
      0.489931794079997,
      0.543981035123714,
      0.422913457481172,
      0.448485091260036,
      0.544680314708992,
      0.604491193485819,
      0.385007015248652,
      0.497866287243568,
      0.561844933840145,
      0.340120690096885,
      0.455761643927171,
      0.582139378586163,
      0.588880835680592,
      0.403301913138882,
      0.417366145004681,
      0.570673071439842,
      0.395118320317255,
      0.503958331294815,
      0.601989017058904,
      0.656829581088039,
      0.440617507542943,
      0.494682390217315,
      0.464433913357752,
      0.415344890849558,
      0.450265476265361,
      0.427629658467514,
      0.350557323711931,
      0.54627941673148,
      0.513291946130406,
      0.444164462307468,
      0.494550070526237,
      0.488340473267503,
      0.506246660088108,
      0.682756066013918,
      0.463954322092033,
      0.485099415708567,
      0.475890999992034,
      0.505413675787866,
      0.394668337946408,
      0.420461611013951,
      0.480125339025819,
      0.596928415832552,
      0.47095398977453,
      0.569689414241099,
      0.479608397839031,
      0.523825592234798,
      0.486928791861081,
      0.489360804015865,
      0.429452455951794,
      0.558904534680534,
      0.543010173919999,
      0.450793373100865,
      0.475060926341361,
      0.45841428594372,
      0.331949197504016,
      0.443697834213413,
      0.511245265042722,
      0.579365858062265,
      0.438859171181891,
      0.48315860340355,
      0.462017203087929,
      0.492084149277928,
      0.497897996034867,
      0.499962483224314,
      0.598565382637307,
      0.401988660658058,
      0.540291183221604,
      0.492866299423793,
      0.442048578758307,
      0.569877487601742,
      0.454107990925532,
      0.523105275088706,
      0.537832884850856,
      0.52345355083471,
      0.438198509821845,
      0.554458676279421,
      0.498420050817568,
      0.501757505790225,
      0.483309263991377,
      0.489433064036077,
      0.494887252470843,
      0.55007062511159,
      0.495207240903201,
      0.604196554192543,
      0.48827080055889,
      0.361064498877215,
      0.531878100559461,
      0.471005275816957,
      0.471567688591453,
      0.506397434977544,
      0.620490498010444,
      0.394440329602399,
      0.455970658866963,
      0.486996602770838,
      0.554210640362886,
      0.386808693934537,
      0.531156445551482,
      0.560250486041623,
      0.491525209139989,
      0.44589052085504,
      0.397239042715157,
      0.46015776603824,
      0.461314677989254,
      0.565892107987731,
      0.505357429095516,
      0.534299184515594,
      0.523811987706784,
      0.565261104539737,
      0.516204008827784,
      0.51142769866495,
      0.593023048591096,
      0.420847636660178,
      0.484332619368544,
      0.607932694618601,
      0.678353569315317,
      0.533751919287267,
      0.534935143952475,
      0.533561623090566,
      0.622807586934268,
      0.558235617484999,
      0.47718485352489,
      0.626993291684987,
      0.561737761006459,
      0.543329732014989,
      0.580988441722094,
      0.642464626080288,
      0.503016592335556,
      0.653605919549362,
      0.655708261032361,
      0.530287774194075,
      0.520808310382419,
      0.532993227782081,
      0.561777882976789,
      0.490376188907214,
      0.467064402957272,
      0.441129372545311,
      0.598589976871223,
      0.47471713299044,
      0.576420823332749,
      0.571455247259431,
      0.475541211326503,
      0.572280274724927,
      0.60700067291366,
      0.583707459104599,
      0.521001497787821,
      0.531862976945972,
      0.469357035153557,
      0.561527047097319,
      0.553997966178363,
      0.663799654792628,
      0.536955554481377,
      0.583644483885415,
      0.618418830388414,
      0.598091295980119,
      0.571339600556223,
      0.611618952609876,
      0.67810318051498,
      0.597969556122217,
      0.556278235064184,
      0.512113264927686,
      0.521040254756641,
      0.510757502792943,
      0.448974636850762,
      0.607655834242911,
      0.595374791549607,
      0.605601350365492,
      0.525060727199203,
      0.688960256310484,
      0.63183781480245,
      0.405725527014406,
      0.415268448573628,
      0.495454969669059,
      0.375546924579388,
      0.360270725826221,
      0.368844825279161,
      0.345358776172295,
      0.280261704881318,
      0.513807974388847,
      0.453321910178521,
      0.571207133200002,
      0.335251292723756,
      0.298014683741091,
      0.328085221397005,
      0.220620060580656,
      0.44484537492091,
      0.400304276146824,
      0.384544972773029,
      0.445805524981743,
      0.269379966053562,
      0.360182066217237,
      0.374846978673438,
      0.577871809017529,
      0.342697142958995,
      0.44183239173746,
      0.407498236933128,
      0.401418091487242,
      0.518972288472375,
      0.495746910095127,
      0.459785580286136,
      0.582545025348329,
      0.476154325128813,
      0.454217641548494,
      0.523530661409843,
      0.508435365130528,
      0.48084708923396,
      0.533280430330172,
      0.497355828108718,
      0.440422043608506,
      0.493645867199845,
      0.559563964191294,
      0.584780860339467,
      0.515813349136867,
      0.480007805808909,
      0.475925948053604,
      0.417524333036972,
      0.494630372663696,
      0.580607892657617,
      0.482023559845474,
      0.490463593069147,
      0.437419348986121,
      0.46613576844706,
      0.403428935001055,
      0.520392575767227,
      0.478677585464729,
      0.441880911270822,
      0.499105529947898,
      0.645555605373474,
      0.639537962046512,
      0.54721988729473,
      0.501779442803063,
      0.545459084228317,
      0.622391312823473,
      0.50604104873657,
      0.493067723624994,
      0.470456238492944,
      0.579784705598734,
      0.516206596515163,
      0.550980610106719,
      0.629050438725809,
      0.511411365858528,
      0.605673964364255,
      0.596924223687642,
      0.539142820033176,
      0.549134081586634,
      0.539103261000983,
      0.505042696601373,
      0.463624915821704,
      0.522085150475635,
      0.611197616759801,
      0.572909435736464,
      0.501839797882526,
      0.611911768625077,
      0.570097460358583,
      0.505582470028832,
      0.6246661417693,
      0.639560813575804,
      0.568924491635479,
      0.563749742292507,
      0.548287033730496,
      0.540654546987643,
      0.526600225583476,
      0.554272055020841,
      0.608698466246929,
      0.504358470996477,
      0.584540561110024,
      0.503393330409038,
      0.665840988672317,
      0.571287369251085,
      0.522715858075442,
      0.676037117327759,
      0.513754217877421,
      0.512047179778129,
      0.542216577040311,
      0.48383529096184,
      0.548131899463689,
      0.445994464039159,
      0.610560894867188,
      0.597028643560039,
      0.612100099672946,
      0.519866144269673,
      0.580856866641984,
      0.673349626557809,
      0.541219427963227,
      0.495398797755561,
      0.467229479360426,
      0.431968015409958,
      0.484646111253336,
      0.520005344030686,
      0.504459532657849,
      0.463827141470802,
      0.57800618747202,
      0.471549367041261,
      0.55596319913098,
      0.578542545302848,
      0.52577404470688,
      0.624631349513572,
      0.481756357651683,
      0.415780643228991,
      0.528978100476919,
      0,
      0,
      0.251229555796252,
      0.237931546744917,
      0.201095705616473,
      0.206665370632173,
      0.254211119535113,
      0.38065819349194,
      0.302855398730131,
      0.249807749685724,
      0.226402712982804,
      0.195200705591895,
      0.252795048817099,
      0.24018281858093,
      0.24298215266856,
      0.352654265516844,
      0.332163578748017,
      0.446682060713948,
      0.38215185939892,
      0.382829937872052,
      0.274112744151201,
      0.325532142522743,
      0.472386988848701,
      0.360230487282228,
      0.424690089314444,
      0.407186012137893,
      0.404036529074137,
      0.383645407351381,
      0.371428340585649,
      0.484961097497832,
      0.458070709624647,
      0.482947225900995,
      0.448476671411147,
      0.474498565937021,
      0.477705243628712,
      0.56132146748812,
      0.55683021576352,
      0.527166490827372,
      0.535098832220018,
      0.553632195705829,
      0.506322123315021,
      0.536626442728017,
      0.524019642792009,
      0.53355752267944,
      0.54255048913793,
      0.521249660380201,
      0.581333798571038,
      0.470642379931673,
      0.519935129904159,
      0.50892573709274,
      0.518537877337849,
      0.509528937414999,
      0.488218277010136,
      0.588614109509234,
      0.342205879341845,
      0.483525157379981,
      0.419755315919363,
      0.378088098461104,
      0.518430867314513,
      0.48728712148801,
      0.574081808188854,
      0.499579270798487,
      0.532321448964236,
      0.552771259310634,
      0.456841677196368,
      0.503969563946827,
      0.567962427421463,
      0.558259964960465,
      0.474725011170566,
      0.582566765409711,
      0.497395204070538,
      0.447609424932651,
      0.509890172619953,
      0.451706144204949,
      0.540993619084422,
      0.527958619658482,
      0.523637730185505,
      0.44685525243805,
      0.554316341684665,
      0.589512824943136,
      0.449582262652447,
      0.400713632122305,
      0.498329020315833,
      0.589253092394953,
      0.373106545342893,
      0.420993631822718,
      0.584569928426352,
      0.496537477731819,
      0.464917484594861,
      0.533145027144895,
      0.516521550127467,
      0.479713569344534,
      0.54756262297018,
      0.534152738761517,
      0.516276639760501,
      0.536996470935157,
      0.564332379214742,
      0.540382954954652,
      0.587044070594336,
      0.595995105158444,
      0.651373987122877,
      0.497757464024029,
      0.473922817146737,
      0.536782546841232,
      0.388410806162921,
      0.610161525850461,
      0.613185509431698,
      0.469127996681487,
      0.536624537450198,
      0.492776048366677,
      0.462211391329132,
      0.331620583387878,
      0.45187538237736,
      0.570920179932728,
      0.489175863379619,
      0.407476299610989,
      0.523596461915613,
      0.472793007294974,
      0.50992326305368,
      0.402010629935446,
      0.563876049547615,
      0.551598684036748,
      0.432220321366765,
      0.577237608866725,
      0.558962358681549,
      0.470476229481589,
      0.434426178877736,
      0.527946210614625,
      0.430770441225706,
      0.374142362105206,
      0.51845309221828,
      0.451657529354351,
      0.454341083282535,
      0.369734960142958,
      0.564782870739764,
      0.454707840343636,
      0.540267187927099,
      0.602291636458987,
      0.480810676384906,
      0.434627965156297,
      0.535508227439728,
      0.43557495644936,
      0.509990646600555,
      0.491216493435529,
      0.678741973968107,
      0.533610020940484,
      0.575305143690592,
      0.552492411113996,
      0.65356955192025,
      0.550502243402949,
      0.574518499782489,
      0.624246351016142,
      0.6359331746662,
      0.529683289198125,
      0.579870273151714,
      0.660639645943246,
      0.597347561909447,
      0.558400221147391,
      0.519565047673536,
      0.608861676644078,
      0.583766967688491,
      0.500691749078764,
      0.588321300565383,
      0.555942048866699,
      0.588060020966042,
      0.447442572385532,
      0.634603367338608,
      0.600584172340027,
      0.678556779152247,
      0.508219818510032,
      0.629726453224393,
      0.599777825136811,
      0.585900322491024,
      0.552943879690816,
      0.646854040418862,
      0.519826779034135,
      0.522106854527486,
      0.556524215260558,
      0.618423115761844,
      0.525573358761501,
      0.548935761995551,
      0.606183006235317,
      0.604628720388894,
      0.635620986250387,
      0.589504376826749,
      0.63198439705068,
      0.613626362576974,
      0.546361274120119,
      0.541085126526789,
      0.555247672099894,
      0.582223911995307,
      0.561544683408284,
      0.610399418338533,
      0.518071069359241,
      0.441344366501599,
      0.626348612815544,
      0.572865290403462,
      0.715617186862922,
      0.659355260467362,
      0.513853223492713,
      0.511557705645163,
      0.528367577548573,
      0.472213968383594,
      0.455124500368439,
      0.435811119546078,
      0.608396725203465,
      0.60255059794033,
      0.494028803651033,
      0.539820471937097,
      0.558531265090368,
      0.398160429378738,
      0.509834636553578,
      0.591737792342429,
      0.425469914850957,
      0.355512953000698,
      0.468094962998967,
      0.567673206381947,
      0.3939669240314,
      0.493748380868739,
      0.532597059577267,
      0.652251617976673,
      0.429509563618032,
      0.427873355505835,
      0.462132229633322,
      0.394833990526502,
      0.392776378639897,
      0.533216570718084,
      0.39680054374145,
      0.532189344018333,
      0.537708327688499,
      0.509867101201819,
      0.486769288956928,
      0.39897621155607,
      0.51518689781465,
      0.69116323015703,
      0.48021698644261,
      0.484356106652699,
      0.515002822424349,
      0.535330112326544,
      0.45950923752558,
      0.461707678837772,
      0.349382248173435,
      0.419683258247427,
      0.476976405440813,
      0.495911256375204,
      0.537908934620994,
      0.476517677628216,
      0.520477423083963,
      0.472552968811911,
      0.487386794990161,
      0.564103395381802,
      0.573723403403425,
      0.417730353617798,
      0.475023035901112,
      0.445126730392473,
      0.371033187203972,
      0.499901714294704,
      0.563262537729216,
      0.605145695541181,
      0.463751430048656,
      0.5086445750831,
      0.550168125726809,
      0.418492469232513,
      0.554315204056485,
      0.602048218376068,
      0.614670192781278,
      0.423692951723263,
      0.577037309922369,
      0.54464292383556,
      0.462967947019968,
      0.461018909705317,
      0.463538349774925,
      0.546842242018037,
      0.488097883495639,
      0.510460853619296,
      0.527167747701233,
      0.501704808901664,
      0.499517011887261,
      0.453851442385748,
      0.486031077935276,
      0.510321076023123,
      0.549995100395528,
      0.398179996688647,
      0.479365014905518,
      0.559341308629481,
      0.521975738011388,
      0.511744354657485,
      0.544948133011743,
      0.526327427213034,
      0.459589632653153,
      0.493777122957922,
      0.6245508821743,
      0.458865804793919,
      0.518923199108321,
      0.508856206598916,
      0.566373641708375,
      0.434273175012241,
      0.510578693456313,
      0.604348476158219,
      0.447195499199183,
      0.486176786269817,
      0.493537118360591,
      0.460114835079587,
      0.518677469565434,
      0.608161753341293,
      0.517124152938086,
      0.594124985584704,
      0.472055458418292,
      0.487222486398024,
      0.427781156317281,
      0.522201027215255,
      0.602706974880462,
      0.433803156073425,
      0.524514273763952,
      0.618581422243615,
      0.616414153925176,
      0.52992850931208,
      0.52807303576842,
      0.588761523913452,
      0.668887084264128,
      0.53421967679075,
      0.565688331002001,
      0.602665454698383,
      0.592643085594256,
      0.535980213552336,
      0.576757290642725,
      0.621977171573162,
      0.469554053248252,
      0.577395318439477,
      0.64187807668811,
      0.515335256360867,
      0.593905847053548,
      0.568969534996774,
      0.567609123230504,
      0.48459302483093,
      0.522658538395065,
      0.455020529116474,
      0.61461505740556,
      0.556381314498173,
      0.593720185764035,
      0.576353878646536,
      0.470142925120357,
      0.61416066304148,
      0.487825685250838,
      0.590024573748598,
      0.520317556566092,
      0.609707384354212,
      0.616351527376275,
      0.595385676741886,
      0.574532922089544,
      0.670644430101142,
      0.559094385932644,
      0.583596761609951,
      0.689337888154146,
      0.605989552378773,
      0.531661726183079,
      0.591998796773598,
      0.593800602981614,
      0.617442442483556,
      0.588095725457834,
      0.55597233734841,
      0.538291661079688,
      0.508431230663685,
      0.489861764522887,
      0.602258784411645,
      0.601379299821475,
      0.620795524302448,
      0.570314489536687,
      0.647695340128083,
      0.669009485579361,
      0.382833415682314,
      0.353890261624697,
      0.387920717002388,
      0.32039116483818,
      0.3374015049504,
      0.347532613944262,
      0.321698689579812,
      0.326809517585438,
      0.482923343682955,
      0.42510753785373,
      0.551349449758063,
      0.376584275281445,
      0.288661747729991,
      0.364327541367318,
      0.30214772647608,
      0.429164280747944,
      0.384447850730339,
      0.406333118874078,
      0.440154575655381,
      0.432181853520814,
      0.412961794341002,
      0.371566709809046,
      0.591194949994895,
      0.373442955800569,
      0.414229825839983,
      0.451801811554998,
      0.415355151040744,
      0.506491188733424,
      0.49492396029265,
      0.475259773753176,
      0.489617063559436,
      0.482843685845634,
      0.532058918545392,
      0.544916769792629,
      0.516632739430034,
      0.516708187252288,
      0.535438633792949,
      0.510829509626941,
      0.500960541279316,
      0.511753596734466,
      0.618881034771687,
      0.501434591285404,
      0.472622464307971,
      0.498359071348747,
      0.49498696216484,
      0.400192194541021,
      0.497463650310875,
      0.598855312179832,
      0.52655750085851,
      0.478703166929935,
      0.482763651404826,
      0.482380456263677,
      0.398064084217873,
      0.4452602415596,
      0.551822337037111,
      0.467695745019242,
      0.476147200834524,
      0.59198790392107,
      0.606585397048781,
      0.552232831052215,
      0.571142148920492,
      0.573717119046229,
      0.586182424951879,
      0.535950869682111,
      0.567057774860181,
      0.56469239487146,
      0.633528582442723,
      0.534204357750306,
      0.513175732790895,
      0.572745197410224,
      0.450524084126941,
      0.581576445410213,
      0.48268975752864,
      0.572486317446553,
      0.586418665791093,
      0.606949196747972,
      0.561558132971448,
      0.542738403497886,
      0.57856743250892,
      0.640952218242195,
      0.557721272627818,
      0.505408941251547,
      0.652648285927821,
      0.571823070380289,
      0.49766305152584,
      0.628398124681972,
      0.555773783167346,
      0.577325665567898,
      0.5920879809903,
      0.612110886439701,
      0.55164969259233,
      0.63774900603286,
      0.622604982553758,
      0.651765792324961,
      0.531055808434601,
      0.567584378760062,
      0.614764844687118,
      0.610879834399625,
      0.604526762463226,
      0.525143731628523,
      0.626816912880946,
      0.520785344342241,
      0.499606984865552,
      0.584344560701676,
      0.545150514627045,
      0.615992741155626,
      0.455963507629038,
      0.610482635639231,
      0.619015088752213,
      0.567322214922947,
      0.493534215023622,
      0.589356137177906,
      0.651738214653379,
      0.608782127970903,
      0.613378522028942,
      0.612454074324239,
      0.626245672874879,
      0.496176976626964,
      0.50811813738863,
      0.518651539645468,
      0.575785216567372,
      0.594666750129805,
      0.550977675951589,
      0.585996254780402,
      0.585095206583602,
      0.369148686445285,
      0.430689425543257,
      0.456842433749937,
      0.422387422272569,
      0.560498610925618,
      0,
      0,
      0.33135710941223,
      0.315914439615846,
      0.361754470581124,
      0.337832234496282,
      0.3211819290015,
      0.383334578280629,
      0.34536692223234,
      0.274742691671991,
      0.333205833380956,
      0.279192604547039,
      0.316809634351971,
      0.299895061988596,
      0.334659135881021,
      0.456425919260938,
      0.28921343451599,
      0.431792846445099,
      0.328270505953174,
      0.352332509572452,
      0.27708553892267,
      0.254577941466159,
      0.457423008642085,
      0.340311578729442,
      0.414174770545922,
      0.378921177382165,
      0.386705507288716,
      0.371073617025417,
      0.349854658900985,
      0.470576203878255,
      0.533728907184825,
      0.5940315881739,
      0.502021625647812,
      0.555292774974499,
      0.439711971816581,
      0.615994903814484,
      0.599577957519184,
      0.503137558088761,
      0.615009311890044,
      0.578971632714562,
      0.563560270279621,
      0.527801644606965,
      0.542382636495646,
      0.497963811259193,
      0.518744708041809,
      0.524306068748293,
      0.60874928602132,
      0.529246714854841,
      0.48733438211013,
      0.510367325766664,
      0.519054144832368,
      0.476703212324805,
      0.483579954234092,
      0.592953202265854,
      0.452525661275265,
      0.456759288733965,
      0.439177160996354,
      0.395204023449067,
      0.456649920160576,
      0.552463103167534,
      0.601051271455777,
      0.507536962866453,
      0.55505986326105,
      0.555677896683169,
      0.442957566142479,
      0.496724295530154,
      0.607993640164416,
      0.591834738752041,
      0.560204299151041,
      0.613021236920896,
      0.520478195713502,
      0.430747008166115,
      0.496201250206493,
      0.532648482335122,
      0.540234404698738,
      0.491240317063012,
      0.511329032962315,
      0.597201801944287,
      0.453478144027044,
      0.580600956511294,
      0.438949408672283,
      0.405464733464186,
      0.532876601350899,
      0.582329020460696,
      0.353703138655326,
      0.428951283136021,
      0.590327772675186,
      0.522176709260694,
      0.450687048697729,
      0.564904941273498,
      0.544611486574509,
      0.537518572085517,
      0.50987154971172,
      0.526169442533411,
      0.512322329442473,
      0.560213083353578,
      0.556178441861128,
      0.564261600283199,
      0.543853631973931,
      0.5773539380762,
      0.588797448130789,
      0.451129838287875,
      0.485081033580094,
      0.542992495086343,
      0.391066168822949,
      0.483250221785098,
      0.608041834807849,
      0.466251308134456,
      0.415915139168235,
      0.479108676072671,
      0.457298894918237,
      0.352923394498663,
      0.409079814327167,
      0.585969819094281,
      0.465184396011346,
      0.423897173804275,
      0.600730025593047,
      0.54358677650915,
      0.51793766613004,
      0.427606436457648,
      0.578673596404295,
      0.513515192240101,
      0.399391198897443,
      0.596624107054016,
      0.590843359439029,
      0.481517984420166,
      0.414649396337818,
      0.519184131843165,
      0.446015703010729,
      0.359315527783305,
      0.474386997937662,
      0.427262869201581,
      0.488166938067989,
      0.331583733375438,
      0.480338550307458,
      0.410547560585388,
      0.524717136549651,
      0.576667274040841,
      0.466679539730535,
      0.563188539934931,
      0.487936084716661,
      0.42987144302712,
      0.506195355471759,
      0.491479916258708,
      0.624394302211821,
      0.607800739594653,
      0.582158610778181,
      0.531635775918821,
      0.657496177131066,
      0.602852187412642,
      0.616820343984229,
      0.617081424043811,
      0.612367446032157,
      0.499670493400479,
      0.594977356488084,
      0.67026447542926,
      0.631189279164913,
      0.557644795135248,
      0.54954161240356,
      0.616680980384122,
      0.609836157762967,
      0.478055659480274,
      0.552707660716977,
      0.551953904080299,
      0.627487805301831,
      0.498318683643692,
      0.608517517635732,
      0.563841955278067,
      0.604236579496867,
      0.507645707280548,
      0.648491506122993,
      0.627712995818251,
      0.596554326133755,
      0.572559820203871,
      0.658463695038241,
      0.541998452223233,
      0.52029906222026,
      0.61048450939408,
      0.597140850048492,
      0.566192407469721,
      0.554339607839458,
      0.622769907601472,
      0.63210685048105,
      0.658796932605208,
      0.57998685144805,
      0.639612063606362,
      0.577715501525193,
      0.515735550908339,
      0.508509809057169,
      0.567533636029864,
      0.594676110055457,
      0.555192645044356,
      0.605717137411474,
      0.504243495645359,
      0.440684957466269,
      0.547768766529756,
      0.547537971320898,
      0.699415717340836,
      0.634552982388768,
      0.544189154783208,
      0.518779518378703,
      0.516088839065722,
      0.481372950785574,
      0.488830518610976,
      0.552083412463737,
      0.588643484747883,
      0.572312683568909,
      0.52205139025461,
      0.524584806193757,
      0.566350256287011,
      0.411363115731224,
      0.539184724695733,
      0.574451190767064,
      0.518464330918723,
      0.38960241769872,
      0.442709364132521,
      0.545755751841115,
      0.373922919357258,
      0.614600525680715,
      0.609290099170982,
      0.634265842386757,
      0.39611326194346,
      0.408887364268267,
      0.467086543464608,
      0.39555861639832,
      0.406797687438435,
      0.490952483103134,
      0.421481899088115,
      0.516123385245112,
      0.559623536589707,
      0.566499802403271,
      0.542772580733923,
      0.464283913917143,
      0.558786558666978,
      0.623444547701834,
      0.505555565389869,
      0.535161824687423,
      0.557059238791719,
      0.582993856009563,
      0.510568535427739,
      0.502558931961734,
      0.50624082004609,
      0.466698274235453,
      0.530555527100491,
      0.53896677423183,
      0.47227874602809,
      0.603208540518161,
      0.575078878920768,
      0.519393059135188,
      0.502911296695201,
      0.557568137851271,
      0.572939413905905,
      0.368416086265515,
      0.429596789892004,
      0.445633425452692,
      0.443592948653069,
      0.378874270603188,
      0.596900957962109,
      0.601007279557292,
      0.517363976683948,
      0.49186391613685,
      0.569991997841481,
      0.477851900319511,
      0.583421427131017,
      0.62305322093356,
      0.594527858864351,
      0.444587628317159,
      0.587702279120245,
      0.55606479910033,
      0.436902094113805,
      0.459471340479263,
      0.381215134515009,
      0.486239689073732,
      0.404503267319505,
      0.459891533632101,
      0.529771205113246,
      0.451642671540358,
      0.451859563179642,
      0.419736781795418,
      0.428256960605197,
      0.551285958058699,
      0.559595969325312,
      0.48919309326741,
      0.453643631442969,
      0.557160561552332,
      0.559001943698977,
      0.530430804812787,
      0.542865399405245,
      0.536069504293863,
      0.514499055020549,
      0.550540151075857,
      0.637889845495905,
      0.45491905862516,
      0.539319089357145,
      0.523310433836427,
      0.535420514453874,
      0.435963785897401,
      0.532498722342209,
      0.570941527749003,
      0.405060569073,
      0.4972802189077,
      0.511960229674211,
      0.412778324240173,
      0.549583976749094,
      0.56651222152032,
      0.543976047317661,
      0.372679537674769,
      0.515253883567865,
      0.485532335053014,
      0.430649038544923,
      0.509682495199542,
      0.624977358576578,
      0.42146736584063,
      0.505332765322407,
      0.594926564109467,
      0.569788041085326,
      0.527697284053511,
      0.531438706636658,
      0.598815044160995,
      0.685404900330635,
      0.625189335710435,
      0.58712796538971,
      0.548141039781783,
      0.623755155561935,
      0.573196224577679,
      0.552633689361298,
      0.642657205826019,
      0.435870333724626,
      0.561047875363233,
      0.598374281656117,
      0.499278545900523,
      0.624891823211681,
      0.571689534737047,
      0.622054166807995,
      0.478810162177219,
      0.453752496361833,
      0.454853592676309,
      0.589654594490386,
      0.556041268698624,
      0.635403277385941,
      0.540494204310326,
      0.518929974950539,
      0.590444207285691,
      0.52878116353371,
      0.542936708553253,
      0.53399970313872,
      0.669905588583789,
      0.644961463652574,
      0.610737538803384,
      0.57311358648557,
      0.632045020865857,
      0.537812973966661,
      0.58827741434026,
      0.698148284619262,
      0.614748705290012,
      0.53934564613656,
      0.58804166545006,
      0.648137257116526,
      0.578956225068603,
      0.574911964325543,
      0.558762648251368,
      0.578740767954776,
      0.571077622904952,
      0.496991004195876,
      0.578733988372447,
      0.560275753823005,
      0.556451142852317,
      0.576378248808451,
      0.578317617882519,
      0.626784920099859,
      0.457135506745389,
      0.34286314100993,
      0.387510557445018,
      0.276545361578046,
      0.321988104731691,
      0.355872567014209,
      0.291537735277726,
      0.309603190153392,
      0.484958942308009,
      0.43300985153472,
      0.534353435060138,
      0.38483269188276,
      0.306017407322576,
      0.374560910445316,
      0.304396727211635,
      0.40482583028718,
      0.358977838680178,
      0.343117738730026,
      0.41857869801,
      0.387362306872516,
      0.356604659682371,
      0.370198218888217,
      0.366459129839144,
      0.310033865495482,
      0.400044202589132,
      0.479867019484742,
      0.466517318949628,
      0.510803493862738,
      0.507412192501967,
      0.434134492098534,
      0.447332589981877,
      0.512040094601232,
      0.505614654909548,
      0.535187936944245,
      0.500113345355358,
      0.515298566306247,
      0.563900513647798,
      0.533411579601814,
      0.503630204099508,
      0.535315255671805,
      0.609168100311867,
      0.503063339668852,
      0.419246171489831,
      0.479358056061175,
      0.450279330297189,
      0.398454126392752,
      0.481851271280488,
      0.62559941671385,
      0.47989754953036,
      0.34952420161987,
      0.433910716839791,
      0.44071764519484,
      0.340097478460805,
      0.389861958254241,
      0.513527062552647,
      0.444714712797057,
      0.407528193561436,
      0.601736611473626,
      0.556973159967158,
      0.556390511562895,
      0.622651814111684,
      0.588699722466786,
      0.633088584058971,
      0.539468851038658,
      0.581027566235356,
      0.591571479884504,
      0.663105664152422,
      0.55575056702885,
      0.593292238464146,
      0.591481878302388,
      0.445190663630585,
      0.590386602946769,
      0.56076787635793,
      0.516421118158885,
      0.576007576409461,
      0.664026561076507,
      0.582820522201949,
      0.582448674500269,
      0.613864032018531,
      0.620309819752716,
      0.554465337219092,
      0.4893062912972,
      0.675911078918698,
      0.581819274652885,
      0.522652987709111,
      0.619717729323286,
      0.611571624334419,
      0.566859262499528,
      0.546375738715528,
      0.624609902715976,
      0.611990696664763,
      0.67558973412711,
      0.641514569917538,
      0.621248093479255,
      0.519240043732325,
      0.574298240448445,
      0.640486084312789,
      0.599458710705196,
      0.62429504618878,
      0.521255343489313,
      0.610534259884544,
      0.565344043034043,
      0.49448495420504,
      0.559320696480243,
      0.577587506448995,
      0.665751873095463,
      0.481110982549299,
      0.579411151625052,
      0.575037471073587,
      0.568808025509198,
      0.51609356164063,
      0.562715542966311,
      0.656311593626488,
      0.623449642742665,
      0.651532707270535,
      0.642877958046145,
      0.658729162845154,
      0.485344389457825,
      0.491948510526729,
      0.550668412745071,
      0.610901913470088,
      0.594198058770035,
      0.571709631672797,
      0.58617378736514,
      0.562113351579395,
      0.326050294411421,
      0.435365205602323,
      0.45647573191223,
      0.370279105093256,
      0.533560380374377,
      0,
      0,
      0.418197102997861,
      0.357865103554725,
      0.379088810250951,
      0.330368502833253,
      0.315120887147147,
      0.466004813839358,
      0.480478510303139,
      0.486933368577152,
      0.428260617503044,
      0.363841343963669,
      0.381018228065543,
      0.283159141668256,
      0.394645803035433,
      0.501130180296339,
      0.21892088691497,
      0.257714376038643,
      0.267904626888754,
      0.250228624853552,
      0.287753869969009,
      0.265332748757532,
      0.39339549698355,
      0.211138837675841,
      0.318355077021869,
      0.245061968677151,
      0.285544829208907,
      0.335585682912418,
      0.334365330783077,
      0.451183052738953,
      0.409907526505462,
      0.550782371355129,
      0.453338083478389,
      0.460266365985221,
      0.441268889559062,
      0.474914949881885,
      0.461343958849006,
      0.46871458282603,
      0.60005930682255,
      0.455410247777336,
      0.495312176243015,
      0.475044367039877,
      0.441448903667347,
      0.53840393660276,
      0.481948108307703,
      0.523458315207507,
      0.581994213803925,
      0.572691617191198,
      0.459763636952614,
      0.47923043378384,
      0.439320755657908,
      0.428670523285028,
      0.54850986711594,
      0.625373123050805,
      0.478993262547562,
      0.454141889775636,
      0.414416555854281,
      0.292927616883035,
      0.434253839923909,
      0.435546427788837,
      0.611483629963346,
      0.403871542912792,
      0.572638774664531,
      0.452514852208133,
      0.44225270626426,
      0.431901868438637,
      0.539895468796834,
      0.53216231379724,
      0.576425996941064,
      0.497871158696584,
      0.464015729754613,
      0.404042398227728,
      0.489060735155097,
      0.497038792240519,
      0.549794616178011,
      0.514983539789389,
      0.462254673265544,
      0.527541403360143,
      0.409086591621777,
      0.504686834949174,
      0.433326769969075,
      0.529771835128785,
      0.473384862633702,
      0.476199826470577,
      0.286335393820192,
      0.390685527551492,
      0.567658491820065,
      0.367656251317085,
      0.423030968442044,
      0.503891152235214,
      0.472298689409845,
      0.568836398593031,
      0.54983389709928,
      0.528669341774727,
      0.520465884215987,
      0.440653824625512,
      0.468575516629246,
      0.467076089344944,
      0.51164247929404,
      0.550152142487332,
      0.630539975108146,
      0.453091417956837,
      0.454953608471714,
      0.457800969762247,
      0.397858000683635,
      0.431282019925562,
      0.626503444316153,
      0.364055348004923,
      0.295917550476991,
      0.490884630135024,
      0.421821418973359,
      0.329213647460058,
      0.319021735323287,
      0.594409137948028,
      0.420378336113839,
      0.378846811320931,
      0.556089990292742,
      0.487430660673986,
      0.452442005682756,
      0.349309961126811,
      0.599495419673324,
      0.489356321686044,
      0.347906120268093,
      0.415306730492729,
      0.486002762812154,
      0.422839399685987,
      0.34254189114132,
      0.494823917409644,
      0.459180630085342,
      0.397443559868502,
      0.397711176685686,
      0.453739268859574,
      0.481273565407033,
      0.248240878201528,
      0.438119833472728,
      0.399080101045264,
      0.526723757565537,
      0.519224384203413,
      0.46162757546809,
      0.473078890774841,
      0.433977493281535,
      0.390645275694758,
      0.463159032533362,
      0.400166469600622,
      0.612369250633328,
      0.546670406996084,
      0.567334275354741,
      0.466988240528714,
      0.575782874002455,
      0.470322175892337,
      0.539638730777089,
      0.558621130511267,
      0.59982031819504,
      0.541080495058317,
      0.537245450356726,
      0.600624085853682,
      0.497154179767247,
      0.534034219071488,
      0.50469685697988,
      0.679766427949968,
      0.621755109634786,
      0.467803004067794,
      0.492109591657574,
      0.469241269100575,
      0.605753354596802,
      0.415363162353118,
      0.579714278599016,
      0.583744100430407,
      0.541267556084227,
      0.426433241838992,
      0.603778926151037,
      0.587548590292707,
      0.520727784907413,
      0.542210846157554,
      0.653758501765081,
      0.531870507281485,
      0.470976202340698,
      0.562412009622658,
      0.548357035069826,
      0.440882134934161,
      0.468660239953072,
      0.578888387742562,
      0.630634827802802,
      0.509569578426417,
      0.511020646346174,
      0.647125313640769,
      0.580027681117797,
      0.493641102043612,
      0.520900205311161,
      0.542363758356828,
      0.515220782877382,
      0.515201855430212,
      0.542160843723059,
      0.481067493055677,
      0.344381819083521,
      0.49501516824782,
      0.540924958148748,
      0.588447970079784,
      0.619594973964765,
      0.506061458648256,
      0.486038543772232,
      0.499016539689977,
      0.559830473853324,
      0.379265280569999,
      0.451457800000255,
      0.605146132881155,
      0.530155814719351,
      0.413012913932622,
      0.471143367657677,
      0.448947181214084,
      0.36899742725858,
      0.447442707141278,
      0.603107905113041,
      0.49500232747096,
      0.318509259587959,
      0.430065784784588,
      0.503052005416157,
      0.367368599515234,
      0.528914714605894,
      0.591513786239689,
      0.648635692772642,
      0.368840117869978,
      0.411880743862648,
      0.407992948105343,
      0.343522139616473,
      0.361958592738009,
      0.39573286136741,
      0.410852289877684,
      0.529719113733689,
      0.596371424897355,
      0.453003039239086,
      0.475866440470295,
      0.416743100448825,
      0.532122694109957,
      0.560780149717557,
      0.406903132467308,
      0.441993884144879,
      0.538594437789091,
      0.470855092873972,
      0.42150897935495,
      0.404988487256691,
      0.521596648347625,
      0.518712934204575,
      0.577029179513568,
      0.538360647841993,
      0.441544537143883,
      0.557675398824399,
      0.484679801603375,
      0.483136775165846,
      0.429315526778802,
      0.513185414856873,
      0.555993305379666,
      0.306068437103181,
      0.36284020718753,
      0.463273554643543,
      0.320983892820726,
      0.349376659083757,
      0.552551788334375,
      0.609752981810974,
      0.457593762756547,
      0.421302239824048,
      0.444148222510031,
      0.443380246272349,
      0.491236448203905,
      0.486503719022298,
      0.629124231517865,
      0.408646301860403,
      0.470127361005744,
      0.453683796640854,
      0.411767542405651,
      0.458662216377344,
      0.3814079911207,
      0.446533340035774,
      0.454945268329823,
      0.444543906492194,
      0.42595710943222,
      0.488293240278192,
      0.502959468324542,
      0.396341839643843,
      0.411585695840744,
      0.519291225714759,
      0.486196384832074,
      0.496392084282801,
      0.437451769742948,
      0.525559291648655,
      0.394220553296044,
      0.38161587566788,
      0.47077616055788,
      0.462521488842505,
      0.406317214363474,
      0.494157455089943,
      0.602300823365491,
      0.409452482764452,
      0.442289310219349,
      0.470670785878879,
      0.500985009015647,
      0.406051025916331,
      0.522069903249706,
      0.579280563727396,
      0.366650234324707,
      0.403865644838448,
      0.444072126917961,
      0.380587513140868,
      0.467289623313465,
      0.588349801667302,
      0.512074295550146,
      0.368537246675136,
      0.484183665270494,
      0.461692588770869,
      0.461721355333135,
      0.527601438612807,
      0.637472666589261,
      0.352796340805498,
      0.516952367378493,
      0.590468372526207,
      0.586786154825596,
      0.459427612366748,
      0.463981908785621,
      0.606641943244367,
      0.612910236581478,
      0.650319485764806,
      0.467402820976162,
      0.499678016659197,
      0.510745120649372,
      0.500443421455681,
      0.539415448408729,
      0.598650079111241,
      0.406005127426473,
      0.576256088305016,
      0.557183545597879,
      0.518398728788584,
      0.516532887108844,
      0.484003756040955,
      0.585927107825143,
      0.449717457742028,
      0.406449589893137,
      0.458743055112694,
      0.578904429358747,
      0.478722321574989,
      0.56998378608104,
      0.509273178916767,
      0.479047493870238,
      0.559835151186479,
      0.506502247429053,
      0.534063418151236,
      0.479320729306964,
      0.498706277482949,
      0.493374383322141,
      0.535976096414316,
      0.514288126487711,
      0.597206179989962,
      0.535715776765451,
      0.527973092757831,
      0.627179741585894,
      0.510168037205833,
      0.503348019343092,
      0.603844222313979,
      0.649370352779597,
      0.524113746052663,
      0.561977912260292,
      0.486888762810245,
      0.499850466624777,
      0.552333913849534,
      0.394734891061693,
      0.624113147026107,
      0.62266537177905,
      0.48449492274616,
      0.513150654368058,
      0.555179220181866,
      0.625270654048273,
      0.438547614763011,
      0.300657054368754,
      0.424872268503513,
      0.402447867277274,
      0.407116302234926,
      0.37579561610929,
      0.32453629077335,
      0.281090356736288,
      0.49480002261315,
      0.470984612347664,
      0.486556988553921,
      0.389580234345897,
      0.348800213406773,
      0.362443409838689,
      0.240393902634567,
      0.416809042067987,
      0.343406700626413,
      0.325148815902194,
      0.39479413864754,
      0.241904708397324,
      0.336517003827403,
      0.405485203980593,
      0.550023483795334,
      0.314581915067702,
      0.352408079757531,
      0.455088293132518,
      0.41525628333789,
      0.512233903842443,
      0.435855746385262,
      0.459607889441383,
      0.471577369549215,
      0.410279698385569,
      0.436565381650479,
      0.550098307348259,
      0.464481985806757,
      0.441479334130624,
      0.476918977303291,
      0.407149320826761,
      0.353269545822264,
      0.499317161714548,
      0.612461332872507,
      0.497796667703474,
      0.446685706831903,
      0.508965453668211,
      0.441766969311806,
      0.387639301640452,
      0.423809272883981,
      0.657936756231457,
      0.410584436255099,
      0.38018651901673,
      0.355030886003503,
      0.451901294886861,
      0.34237518452602,
      0.358184001564631,
      0.510299509026669,
      0.398645608713906,
      0.406106224467981,
      0.59996197057897,
      0.528468901034223,
      0.529691775863601,
      0.492051391450547,
      0.533251905500572,
      0.586955125595131,
      0.509185934427809,
      0.446371111614658,
      0.471024384660488,
      0.593229199602245,
      0.514969115170095,
      0.536231837849544,
      0.51195110730695,
      0.437530467261828,
      0.581702225514239,
      0.513247802984556,
      0.493965824048832,
      0.509846314797394,
      0.51076575842128,
      0.46679497146866,
      0.560972159141983,
      0.537082962935425,
      0.596693657875232,
      0.552001410754683,
      0.452000353155981,
      0.612589449807981,
      0.49350886684022,
      0.449907734693304,
      0.592356054462931,
      0.571027319628264,
      0.535550454129678,
      0.490584412714364,
      0.547071917300423,
      0.45986312133643,
      0.536164714410694,
      0.517880311269609,
      0.646890106839929,
      0.5599966578868,
      0.536929621875998,
      0.555924267005574,
      0.513792493930701,
      0.566377385181852,
      0.504333528080835,
      0.666383264845577,
      0.602245972594973,
      0.472479505624953,
      0.516466414049884,
      0.506941200232777,
      0.625995507383032,
      0.412508390475146,
      0.543129014905531,
      0.563592740126788,
      0.558942957606842,
      0.459017864932436,
      0.559073880246936,
      0.612541081545717,
      0.510663220777,
      0.47029366650076,
      0.481069911681845,
      0.376916170650305,
      0.409007930788752,
      0.45969851041382,
      0.426000322816196,
      0.42146523764047,
      0.543268556115559,
      0.422920386208961,
      0.443574101024214,
      0.448960352619344,
      0.305747933181651,
      0.465764554960161,
      0.381968946507464,
      0.341972592368033,
      0.483750418702907,
      0,
      0,
      0.389199257416662,
      0.336459409687922,
      0.361753186241964,
      0.275387381099459,
      0.314580124154543,
      0.439049566778677,
      0.456219565603054,
      0.458357209878747,
      0.369979630199266,
      0.332029144572872,
      0.356759997175084,
      0.294880375347772,
      0.238368918996358,
      0.369789252008311,
      0.364151477046914,
      0.434467890517696,
      0.335299060481936,
      0.281671175495322,
      0.38546992829651,
      0.370073898246449,
      0.435479494535595,
      0.318489860571541,
      0.414984992763155,
      0.368150888452568,
      0.330104456987427,
      0.360656616391313,
      0.401204633667151,
      0.428052355405562,
      0.401808976866978,
      0.404917751966253,
      0.399388374171766,
      0.408136988352448,
      0.349793164699989,
      0.402309112518518,
      0.412566736289824,
      0.451898118601555,
      0.442383470946897,
      0.576550908477746,
      0.440065109118496,
      0.4315690455942,
      0.459677234538442,
      0.540311183776206,
      0.484139759614965,
      0.476149857372995,
      0.541166884606374,
      0.416619047265531,
      0.429412767508639,
      0.425514996954742,
      0.429176313475593,
      0.44814638251136,
      0.593788702607196,
      0.613634204883029,
      0.34510281599915,
      0.392853529725843,
      0.403585729282354,
      0.344206146285336,
      0.425803499705309,
      0.370053867722985,
      0.589468994740756,
      0.413747264641498,
      0.443965876548179,
      0.443477805600441,
      0.452216039639764,
      0.344333437519002,
      0.451964553025322,
      0.436532346849607,
      0.478524047726688,
      0.427987631453106,
      0.355663792340961,
      0.379257740695638,
      0.501097097011429,
      0.438285218046997,
      0.434562699105035,
      0.446328575053514,
      0.494652827374036,
      0.420855465268101,
      0.511102515771614,
      0.479961545587028,
      0.447237623238811,
      0.402158553140453,
      0.392106803381006,
      0.506768544651899,
      0.377359995918893,
      0.45126154061646,
      0.563229028370221,
      0.315011151425321,
      0.414142650538901,
      0.451085509557682,
      0.482473020300901,
      0.410456849261543,
      0.529155153983657,
      0.568778458009033,
      0.519777400788504,
      0.409241829749623,
      0.432379227055969,
      0.479731185401957,
      0.602714207471888,
      0.586637565234105,
      0.664583611977416,
      0.433720703355914,
      0.492651522215737,
      0.497366002560568,
      0.383159674924715,
      0.53280371753688,
      0.629827947968259,
      0.430014493474622,
      0.356658807438646,
      0.413481306330547,
      0.41582531812649,
      0.327255132728103,
      0.449750643834358,
      0.57890884695054,
      0.386508497942263,
      0.360819008009135,
      0.469420151550006,
      0.477525847823309,
      0.388504570127312,
      0.313513714533654,
      0.574949568068167,
      0.49449115488828,
      0.37554696775469,
      0.384849861188199,
      0.421717728102665,
      0.386228350551323,
      0.292080730243842,
      0.476844305138247,
      0.447682023660524,
      0.430173954197605,
      0.468773858308854,
      0.42652679402971,
      0.460957626902085,
      0.301553607610427,
      0.490512108324018,
      0.443254620957184,
      0.530585603851801,
      0.44909333131702,
      0.471390638592,
      0.443377049971661,
      0.411551088815891,
      0.385820659664397,
      0.426402809569777,
      0.460294537045087,
      0.558738764109825,
      0.549892997341026,
      0.540376190621028,
      0.423175369919778,
      0.541589770507267,
      0.487339631025633,
      0.50690781587507,
      0.538476329959201,
      0.583042259056243,
      0.517171597265544,
      0.538932169931374,
      0.591746948471515,
      0.474090599685708,
      0.49917031959723,
      0.492813824385873,
      0.654464300423075,
      0.566673992774768,
      0.462985185485884,
      0.466655206128893,
      0.471738822500253,
      0.582654680412607,
      0.392329264576858,
      0.54508055886514,
      0.522488548898979,
      0.599008130905835,
      0.457711771734725,
      0.558141912941559,
      0.592979732587758,
      0.509287895103187,
      0.500349571879829,
      0.577659853733718,
      0.529638137290082,
      0.467814743491216,
      0.500005071969553,
      0.529959717757715,
      0.390363558786485,
      0.402506479434153,
      0.590442879461026,
      0.594909847558852,
      0.530186103741684,
      0.527181771045111,
      0.574317120468729,
      0.516713639875025,
      0.568211066429666,
      0.477318001769803,
      0.56680080870507,
      0.484227632098083,
      0.518467285651865,
      0.535715459499863,
      0.467017188670486,
      0.406366147643928,
      0.547354350602798,
      0.523505257313003,
      0.634935996376231,
      0.596910920430279,
      0.484932407072532,
      0.463598700118676,
      0.482940247486668,
      0.447788386039038,
      0.352866361568925,
      0.42090026468072,
      0.59777323008201,
      0.566020348580236,
      0.357522789275092,
      0.42726578163616,
      0.403691487224208,
      0.371588710337854,
      0.419264182254047,
      0.5976226930823,
      0.416624964212704,
      0.367989697198562,
      0.379121678867218,
      0.519412356510242,
      0.351081725966829,
      0.434367386445275,
      0.546539960608769,
      0.645883941968127,
      0.396096719108955,
      0.383725255732291,
      0.469279487448019,
      0.323737715101105,
      0.382056968326718,
      0.416765304256084,
      0.458023570475937,
      0.54044484603648,
      0.544863349931228,
      0.372033958588033,
      0.41928197362295,
      0.336677603164971,
      0.446118822959942,
      0.59465856286759,
      0.409884433028395,
      0.383124150884661,
      0.402620683106212,
      0.415435808426278,
      0.331048739720321,
      0.334349627406676,
      0.330977677187967,
      0.482170666934373,
      0.451784401418682,
      0.562396938953554,
      0.438036236415936,
      0.429547450436949,
      0.506917586896015,
      0.475075395276728,
      0.494566079223423,
      0.544247157804489,
      0.575735862956692,
      0.332042132995253,
      0.350125739130783,
      0.458191300944613,
      0.297985770721249,
      0.388373375292763,
      0.470557414951674,
      0.615385025424483,
      0.458117379385512,
      0.44465504984182,
      0.440577618730368,
      0.439960980589971,
      0.472090133491756,
      0.39003652321681,
      0.606092518171432,
      0.377006930629611,
      0.472025269864877,
      0.391347900997572,
      0.44791862892338,
      0.485980623827067,
      0.44881683608706,
      0.432672692837691,
      0.435202423961964,
      0.451354256059025,
      0.456355109733317,
      0.50331946061162,
      0.496642749795556,
      0.375561829814617,
      0.427672191420346,
      0.505586460926746,
      0.447501501397366,
      0.368076999878206,
      0.463751377709383,
      0.531553649484273,
      0.374367587574707,
      0.316489929077996,
      0.489699701457587,
      0.483570735923029,
      0.356785711682457,
      0.492921682173609,
      0.587848988241174,
      0.420163024146901,
      0.344537852168879,
      0.371712538734631,
      0.505749361119734,
      0.361977711407007,
      0.520902902119149,
      0.51176643816927,
      0.401355439693382,
      0.421488208310413,
      0.377220600784707,
      0.383006045427875,
      0.502615644601461,
      0.590353797746038,
      0.549418562776564,
      0.392710959330874,
      0.440890280986481,
      0.400562880823225,
      0.425245543636647,
      0.46477278867148,
      0.625379994533172,
      0.43465307184653,
      0.429984707379568,
      0.521175488080903,
      0.595142300512583,
      0.453922254816085,
      0.474918604594743,
      0.590780586022951,
      0.591578183219728,
      0.568704389073007,
      0.434021430995619,
      0.501204758557083,
      0.502501120261492,
      0.516739457684756,
      0.532334609649759,
      0.606937699538128,
      0.428534945652252,
      0.564317741684103,
      0.589531513577266,
      0.514090482674316,
      0.475080037491078,
      0.472404584837601,
      0.57198765670027,
      0.458502290538072,
      0.441560429075775,
      0.471256084009736,
      0.542696595367638,
      0.47079158273219,
      0.530325883588844,
      0.53426695773412,
      0.486117279919893,
      0.509094762639568,
      0.458813545519857,
      0.490301651206514,
      0.459510440069838,
      0.509721693341177,
      0.488312664705917,
      0.591053803430906,
      0.495331960347845,
      0.598455009108401,
      0.544913007915408,
      0.481284204440378,
      0.560315425857262,
      0.497304796456398,
      0.472164513237609,
      0.543677694921611,
      0.603951637398872,
      0.498253995140139,
      0.532716959426211,
      0.493294268156728,
      0.474722585467615,
      0.489937830899227,
      0.38276099314692,
      0.620425791828337,
      0.557657526715423,
      0.580500313072718,
      0.526346355062263,
      0.560706503562349,
      0.585377465589529,
      0.347530659584627,
      0.3294643234602,
      0.398690219868209,
      0.403805590706366,
      0.366979212703251,
      0.347346732516921,
      0.297818152416916,
      0.291620013754877,
      0.519799311284607,
      0.433309941156848,
      0.520596052430636,
      0.369669557103236,
      0.260896743717277,
      0.320523385260412,
      0.293587644116975,
      0.401952939511575,
      0.364902823637004,
      0.315542690406248,
      0.453061807743375,
      0.341078571452666,
      0.377472543558293,
      0.410103145359715,
      0.432788800271667,
      0.350805863948502,
      0.36654287888108,
      0.489064680087326,
      0.444016567628798,
      0.522436573157125,
      0.464688436486941,
      0.430024379910966,
      0.441837038817972,
      0.393778912199441,
      0.425423813053749,
      0.556881046691802,
      0.443319200732592,
      0.409695836811197,
      0.457486023811964,
      0.418227597233716,
      0.30717211688439,
      0.479055686368112,
      0.613513041236617,
      0.403513180495818,
      0.433005362149249,
      0.50178988068879,
      0.436885759366154,
      0.361412799533762,
      0.418113418201257,
      0.637596134175412,
      0.457817244852406,
      0.411177459817833,
      0.460227233274574,
      0.478426026052099,
      0.315156562540808,
      0.325719794596526,
      0.505271747457856,
      0.464595358078274,
      0.447208276649032,
      0.575876596632449,
      0.571906278860256,
      0.524685926826008,
      0.454914724006443,
      0.504607608879886,
      0.57763167033159,
      0.510862603381587,
      0.440904585519767,
      0.427091235439789,
      0.547826228175539,
      0.486948042601685,
      0.52954468658567,
      0.52543158027647,
      0.449115738662308,
      0.519343082401486,
      0.483950236623146,
      0.498811392477818,
      0.50890868398707,
      0.489055648965807,
      0.466264838355768,
      0.587890828586932,
      0.532825859292968,
      0.586437980670943,
      0.565187637886789,
      0.452958738250547,
      0.580955779792794,
      0.504219589646161,
      0.458190633581336,
      0.551054728987582,
      0.569958118986941,
      0.56058815466957,
      0.446346905645745,
      0.507202720826407,
      0.512512245672528,
      0.48203680667815,
      0.472856300349269,
      0.629319211211981,
      0.490189265868946,
      0.577248478481532,
      0.566272147860737,
      0.510468079483066,
      0.520752664489547,
      0.48843574722059,
      0.639536717723123,
      0.595562696525704,
      0.467701292314353,
      0.47415898010538,
      0.4910185286894,
      0.605689950960445,
      0.395617246283495,
      0.498712800311728,
      0.554688855389498,
      0.559160230011268,
      0.492998935059505,
      0.521987669864918,
      0.602383548839081,
      0.460950784576468,
      0.399197228417796,
      0.372526442427006,
      0.306852160681108,
      0.362162814240274,
      0.409740507019164,
      0.378587736029242,
      0.374483498740834,
      0.435602090761677,
      0.366771257065591,
      0.457985581601526,
      0.44041951420678,
      0.330366853780408,
      0.446565402901416,
      0.379467841746237,
      0.325546196657119,
      0.471430508207227,
      0,
      0,
      0.272709191290847,
      0.23109408674782,
      0.293924939713728,
      0.347161627863543,
      0.30093327229126,
      0.385597699141334,
      0.402924012429232,
      0.239946352629695,
      0.212052899182601,
      0.252031618959217,
      0.328160918183046,
      0.360171084602244,
      0.341912809475312,
      0.371601699131298,
      0.341280132056729,
      0.435862235919731,
      0.294583767956422,
      0.236544229235422,
      0.299915740842009,
      0.246206973376945,
      0.388724778611472,
      0.25812583938187,
      0.354531428507103,
      0.324889631692749,
      0.268512037473992,
      0.276014295077867,
      0.288071203992513,
      0.418461636735975,
      0.437817602210705,
      0.499389576263935,
      0.389911294287505,
      0.517698307432553,
      0.358313753204619,
      0.452238980961033,
      0.397655550152831,
      0.435285481911621,
      0.559185978280498,
      0.636637766316771,
      0.508351534058643,
      0.455994209153076,
      0.508882851966107,
      0.556170257602344,
      0.521964787116145,
      0.594244590819459,
      0.539011784532747,
      0.499212670917908,
      0.459537262925181,
      0.433975763025319,
      0.462082309785914,
      0.422087372808544,
      0.466859274648992,
      0.631900084651801,
      0.379732134428412,
      0.395334663925434,
      0.409292526322799,
      0.338499669668799,
      0.425436652959789,
      0.430941447097285,
      0.596950915345924,
      0.434701578179796,
      0.475412700912475,
      0.444869837994947,
      0.438244349431829,
      0.395304163220659,
      0.582804726351248,
      0.403546343228665,
      0.55577840456235,
      0.439249184600987,
      0.433339923637085,
      0.413544489878981,
      0.466456061347265,
      0.606852769825329,
      0.479131614141535,
      0.446503488422399,
      0.484263367638919,
      0.53875386945358,
      0.485779382560882,
      0.509247136672846,
      0.47652893576791,
      0.370843428865391,
      0.477478936430346,
      0.44699946412799,
      0.346603460763811,
      0.440006969975983,
      0.52877716297262,
      0.312218426355814,
      0.395464518797656,
      0.467139188351401,
      0.495203286358439,
      0.483502398061441,
      0.536988294084218,
      0.557881055910099,
      0.511511327881161,
      0.398759773693491,
      0.446750520093184,
      0.464657736178668,
      0.482874419163253,
      0.585347601791069,
      0.650564700019054,
      0.46246370390545,
      0.526667655873661,
      0.547172374821838,
      0.409135375930221,
      0.465127779262182,
      0.64292712705943,
      0.385522136784342,
      0.328724487662364,
      0.439590363271911,
      0.406469436442144,
      0.402407109184232,
      0.502942358842813,
      0.573713809119591,
      0.385718682251158,
      0.352171585191745,
      0.565640977556362,
      0.535763223797244,
      0.40643743858203,
      0.309768714632615,
      0.524587204564786,
      0.502176785308541,
      0.345938728262871,
      0.358386357015175,
      0.413362179084944,
      0.364800016118882,
      0.302880199697586,
      0.490467437133941,
      0.447043871325081,
      0.388147227158338,
      0.489920584273112,
      0.408560714107939,
      0.441622488194676,
      0.360910315308304,
      0.44379649094759,
      0.41359642868808,
      0.542227175469013,
      0.419762890805447,
      0.452087077411028,
      0.508704731372291,
      0.473256035684027,
      0.430778389596137,
      0.42460127992693,
      0.407420591369944,
      0.57839559318022,
      0.560386383327672,
      0.559628761250923,
      0.492122005806139,
      0.523932125949142,
      0.484517384434896,
      0.533908553500594,
      0.522849845899275,
      0.630871155878299,
      0.471286685211575,
      0.532693148528944,
      0.561599465786387,
      0.455425229627098,
      0.559151207923348,
      0.549071394169658,
      0.645275529637469,
      0.558437501994184,
      0.490170725225997,
      0.515262519865694,
      0.49096769643378,
      0.574255626445563,
      0.397042450280501,
      0.554797744343157,
      0.529190943868782,
      0.587148097116756,
      0.465210853365424,
      0.58388184860608,
      0.596107843895023,
      0.523668472340825,
      0.469890087780176,
      0.664509415639458,
      0.501665178443022,
      0.499318779169793,
      0.520706583011928,
      0.511382851733164,
      0.348735880928628,
      0.379492119645445,
      0.607288501399213,
      0.589123384262288,
      0.534048630742622,
      0.532215790227773,
      0.558482845114017,
      0.499573317864241,
      0.520170584400919,
      0.476401237220928,
      0.602225390989729,
      0.495439892032977,
      0.539648784878532,
      0.522294598993424,
      0.458273196076634,
      0.392385869238235,
      0.601857377514504,
      0.524891308146378,
      0.621352822425068,
      0.626897972446786,
      0.464628211734202,
      0.484734723464995,
      0.493890219034728,
      0.376411924245766,
      0.499431743311332,
      0.551446244011203,
      0.604642048551832,
      0.575964293955765,
      0.290725458027953,
      0.416609063252144,
      0.367994323444683,
      0.361234927561966,
      0.469233764402324,
      0.597342427260683,
      0.482548332977022,
      0.367228995568797,
      0.489914930023449,
      0.509643780766626,
      0.314293027157797,
      0.467323124065915,
      0.579373593789105,
      0.6284367679032,
      0.387713253283689,
      0.395052584586706,
      0.481718201163594,
      0.336276189560207,
      0.384668644639891,
      0.358385315569755,
      0.422935091599922,
      0.552716358743176,
      0.481996530265288,
      0.410905734008081,
      0.431460867607467,
      0.442733401455282,
      0.442404637978143,
      0.58455664071179,
      0.394209461261809,
      0.4223828507167,
      0.47698047430757,
      0.440099981263036,
      0.4588453717338,
      0.420883130437515,
      0.450731991722352,
      0.470973920246613,
      0.535756930563743,
      0.496634160525919,
      0.416832519778111,
      0.459337486794819,
      0.594924713294789,
      0.456985187728974,
      0.573368491577394,
      0.537027270642558,
      0.581708081883337,
      0.355400493215633,
      0.420983377842222,
      0.448327882193124,
      0.430682797945767,
      0.342112714790296,
      0.404849342659868,
      0.616189229058586,
      0.476296586482208,
      0.41588564200692,
      0.509361412583094,
      0.43341131572999,
      0.452085662726866,
      0.390744615434855,
      0.589608339206908,
      0.368509109582909,
      0.45803839357527,
      0.468077866878957,
      0.412354903348894,
      0.508766207226897,
      0.386886366182955,
      0.432429133130417,
      0.381654113230223,
      0.444384090827249,
      0.47790233180683,
      0.483861196588037,
      0.463347923342251,
      0.411093251690678,
      0.39452052439457,
      0.526484339804916,
      0.440009329622704,
      0.469585220596063,
      0.434542237005193,
      0.501026572147172,
      0.415714595093525,
      0.346231993348211,
      0.408866627821154,
      0.484695952487937,
      0.464406863151401,
      0.460482621726725,
      0.585827641417012,
      0.351806756126848,
      0.462316103645301,
      0.416832086559823,
      0.494968044045976,
      0.357816925674816,
      0.544401581415515,
      0.563030716324628,
      0.423254214639299,
      0.483974752640148,
      0.446999474875397,
      0.391279179517187,
      0.509015062624527,
      0.56635968376022,
      0.548778579138726,
      0.313390665604274,
      0.562290217423964,
      0.469233429510156,
      0.45873136097564,
      0.482480539775852,
      0.609375200425625,
      0.409861807860516,
      0.440155927262252,
      0.566092982088936,
      0.617125806562523,
      0.520850014099783,
      0.468226971554264,
      0.599774352496348,
      0.602975835523855,
      0.578151975202643,
      0.359293650617545,
      0.508597706202393,
      0.461605190751994,
      0.482426801900825,
      0.525932105840969,
      0.607218087426188,
      0.453516267869713,
      0.567064803949881,
      0.634507265766436,
      0.492387370499186,
      0.513628015157077,
      0.505718165125475,
      0.558512233304188,
      0.417511042302847,
      0.373050845549231,
      0.435756506886052,
      0.528314993742315,
      0.465602320872067,
      0.592857053813781,
      0.488640822340055,
      0.463965441529464,
      0.553188866372912,
      0.545756537719319,
      0.53442741847516,
      0.486498446850029,
      0.490950486543535,
      0.468386436857028,
      0.652081505237442,
      0.496316577632616,
      0.609639738449297,
      0.468784514595887,
      0.489227825331161,
      0.622650383227627,
      0.467975987496536,
      0.486170383762483,
      0.617662654157746,
      0.596104397772614,
      0.549179842157475,
      0.552602626671637,
      0.498210920492022,
      0.471309113213347,
      0.485858365207619,
      0.424853659076538,
      0.609825408573056,
      0.543180483318933,
      0.550498088806174,
      0.49448053473289,
      0.572438969459139,
      0.591905081758706,
      0.40059842959774,
      0.349240769623748,
      0.42132146831348,
      0.354181777454725,
      0.315307987274558,
      0.348456176694976,
      0.307211448070867,
      0.345806639098333,
      0.527089887060348,
      0.463383529538194,
      0.549202154693785,
      0.384055956426861,
      0.316161098192901,
      0.344122274648359,
      0.276559267869334,
      0.395922904801039,
      0.368488383505315,
      0.25791007332018,
      0.417831650346747,
      0.335355940156535,
      0.398615545347684,
      0.408612552566676,
      0.483918196779079,
      0.279094233832567,
      0.335980703688052,
      0.504411947798949,
      0.441810398856299,
      0.530422097545811,
      0.463383634314363,
      0.445536964095012,
      0.389870417223046,
      0.391919993406243,
      0.41287933486806,
      0.53924051493968,
      0.398288719751675,
      0.408356743517274,
      0.455486998741781,
      0.423851231482897,
      0.348268386954464,
      0.484369162280345,
      0.601317818010332,
      0.486579169098121,
      0.326503568913568,
      0.430309788965189,
      0.457860140551581,
      0.327320626752282,
      0.445213408190225,
      0.626249020311936,
      0.419397775476491,
      0.35066657719172,
      0.438228170117253,
      0.471265821214968,
      0.324731200168535,
      0.330506239810642,
      0.509249996626663,
      0.464299159448073,
      0.479052267772715,
      0.548009382320622,
      0.631917186723783,
      0.519838666175717,
      0.461249257590566,
      0.513830408380384,
      0.555420912927359,
      0.480028123163508,
      0.348792914870247,
      0.421528322973711,
      0.552473107237336,
      0.475783940101313,
      0.598809975147546,
      0.524676683593801,
      0.464265414087512,
      0.615934872175297,
      0.553577988426589,
      0.529332699206625,
      0.447351765350818,
      0.479049335230773,
      0.505993931740835,
      0.662526044810791,
      0.488934302716379,
      0.55349722556578,
      0.509120990670389,
      0.483872572518821,
      0.61249705336318,
      0.477466224071616,
      0.462390841815415,
      0.58615576324758,
      0.589205996284866,
      0.559482224074535,
      0.512391763457563,
      0.543387578899351,
      0.502396739599035,
      0.517848536540097,
      0.466658714454398,
      0.62584152753974,
      0.461055427152503,
      0.536485288128028,
      0.534990583195836,
      0.529422311664203,
      0.541712383044582,
      0.514473673523191,
      0.627104400888754,
      0.571503917368562,
      0.495488788552625,
      0.560690997571185,
      0.466722759720032,
      0.585227444699682,
      0.393937273446304,
      0.466301198026743,
      0.542271029328558,
      0.494744854966534,
      0.518966601509672,
      0.526415799692971,
      0.575453430102158,
      0.447442851348536,
      0.381579502233297,
      0.358402812508839,
      0.318689584535938,
      0.351410401175591,
      0.405568571964145,
      0.411388740301978,
      0.374229968491096,
      0.42240622000358,
      0.356562114447633,
      0.45228811523784,
      0.458697070675176,
      0.350200493161915,
      0.372474498958783,
      0.421176593058634,
      0.385986071729529,
      0.48645984574725,
      0,
      0,
      0.340994136454973,
      0.303922822852207,
      0.29975900662413,
      0.296654304615938,
      0.239968585475736,
      0.35310928851726,
      0.35094507073732,
      0.32067603554044,
      0.267156549288254,
      0.230443833020187,
      0.302460867258033,
      0.293852860137428,
      0.373771393954973,
      0.423326210934832,
      0.279749329435458,
      0.31989870655547,
      0.310711885091503,
      0.207754011541708,
      0.344365033274944,
      0.311353236290829,
      0.375697170760026,
      0.29116638467473,
      0.371247235110637,
      0.254814245623966,
      0.24174450789111,
      0.326399862104422,
      0.370749841170828,
      0.424082700731877,
      0.371512816549641,
      0.483030352504733,
      0.423752641335079,
      0.423749066085719,
      0.361705733946357,
      0.380162537718974,
      0.408147591384634,
      0.467430111148078,
      0.559784024669693,
      0.534898920027023,
      0.498023023731999,
      0.465709822996798,
      0.487641680574526,
      0.557811346493088,
      0.509620787447845,
      0.576467846402652,
      0.594882481032501,
      0.551457762817052,
      0.462745047400676,
      0.428337369683925,
      0.445532002726023,
      0.445648290430073,
      0.611941928508831,
      0.634042231589759,
      0.460556882223703,
      0.44169806629719,
      0.392144264024518,
      0.305373378603636,
      0.442332136704329,
      0.410517112490045,
      0.596494215974702,
      0.352693890036505,
      0.478584957838147,
      0.411050780958497,
      0.39940480198391,
      0.393569619125598,
      0.550440829500708,
      0.438697114362998,
      0.583555216526719,
      0.532028869221685,
      0.5656262099499,
      0.43913834272659,
      0.47504054919284,
      0.548724272055109,
      0.518099189195816,
      0.424358718591481,
      0.511262258241044,
      0.501508011579933,
      0.353582286034586,
      0.530265772269508,
      0.465097760102738,
      0.471394683846579,
      0.469800912721622,
      0.492931681345001,
      0.329075936553618,
      0.45658068778395,
      0.50618971696319,
      0.331894819275206,
      0.371934128663486,
      0.490718468702109,
      0.483909389770294,
      0.521268128568943,
      0.54471428476048,
      0.516347437540743,
      0.481366113541539,
      0.391419655310457,
      0.469764139173477,
      0.413355366420528,
      0.461637136304179,
      0.563060570598568,
      0.623079864925323,
      0.558279497254366,
      0.506833190969229,
      0.469984626846669,
      0.488536426871621,
      0.490293280269829,
      0.638354864262983,
      0.411012246938514,
      0.34402972158792,
      0.455189801248513,
      0.423492858621531,
      0.409917010039423,
      0.363580930308046,
      0.553369533736573,
      0.436182619609428,
      0.322669015444967,
      0.536840107775259,
      0.5136344184979,
      0.432037852776241,
      0.334526189297571,
      0.496088433589037,
      0.509551017284145,
      0.353758236964073,
      0.388934777480908,
      0.399605946849187,
      0.391842218238203,
      0.283680106587272,
      0.483978044287618,
      0.458338070001927,
      0.437390583319704,
      0.484940021489114,
      0.429266017509504,
      0.498755123699028,
      0.346195180599678,
      0.449635660885858,
      0.435341127795929,
      0.575831258259275,
      0.421496537155968,
      0.459493487996102,
      0.428386808927349,
      0.486645177863477,
      0.434595980981637,
      0.385556592860125,
      0.379636775223408,
      0.640281483906108,
      0.598128490935788,
      0.5613501733382,
      0.514793757331843,
      0.545841623066392,
      0.445049544959288,
      0.565574232376633,
      0.535759094906464,
      0.611061197261937,
      0.506336055183682,
      0.521161810106538,
      0.604339533921901,
      0.482448342787116,
      0.539263276211332,
      0.553811850010718,
      0.646094384379415,
      0.559245328244172,
      0.472358588865344,
      0.524759365436771,
      0.447155300336902,
      0.562557165475216,
      0.393542718252435,
      0.590977885836452,
      0.551383665830304,
      0.5958041556025,
      0.424285541004027,
      0.579996650547028,
      0.572283818877664,
      0.506805139061171,
      0.584979113802757,
      0.671399395869667,
      0.46526038789723,
      0.490696550389458,
      0.511109043529252,
      0.500954329477731,
      0.328963877135486,
      0.42685867804018,
      0.569966820050607,
      0.611159056828625,
      0.498162756204859,
      0.561419599545033,
      0.562517018052734,
      0.585795763223563,
      0.513090154807764,
      0.562211109088591,
      0.569805933651122,
      0.475772125323957,
      0.551145996984813,
      0.470983606101502,
      0.438466340247846,
      0.4061050813141,
      0.603712693041031,
      0.574235429378112,
      0.595594783173938,
      0.619138465222331,
      0.456630358132111,
      0.471951695072437,
      0.515362264891438,
      0.453570118449222,
      0.458955921035294,
      0.454055876056831,
      0.616294473891298,
      0.516243577500287,
      0.357344468114843,
      0.439383808749445,
      0.46337283720535,
      0.3111824730325,
      0.419161686199473,
      0.613800109987036,
      0.472231348222959,
      0.328859230528931,
      0.478828372593787,
      0.512554774837924,
      0.324248867994894,
      0.465224170844084,
      0.563704234767008,
      0.644470041204683,
      0.369676852082044,
      0.385830277649167,
      0.440785650996522,
      0.34069110625416,
      0.399964483320726,
      0.316595934022589,
      0.464143976025188,
      0.606368832293845,
      0.52157042031895,
      0.44372667026497,
      0.388023150938047,
      0.411366881289855,
      0.40682388821368,
      0.568220129807871,
      0.428585341964148,
      0.398962690935688,
      0.466689324055839,
      0.416319206525902,
      0.389001637608436,
      0.348448727486715,
      0.47163230393177,
      0.477348442561778,
      0.577018421314139,
      0.496233473470679,
      0.403239484731236,
      0.440402960300789,
      0.449763918486545,
      0.481180481131114,
      0.358566212669318,
      0.503788657043189,
      0.578204777845258,
      0.35767828346011,
      0.431881903016061,
      0.450794963857114,
      0.32797683034782,
      0.381384028145395,
      0.423551980043478,
      0.64330887104123,
      0.366348100733515,
      0.408611415642049,
      0.46191563513795,
      0.438474965150462,
      0.42834343237909,
      0.385095674085744,
      0.579475347002195,
      0.362858350715041,
      0.470930703504344,
      0.418171502793134,
      0.395065925135501,
      0.458218408485757,
      0.411576370934276,
      0.447591280182364,
      0.425077660574182,
      0.450997280064719,
      0.436010311877244,
      0.442350539776341,
      0.427694562786392,
      0.467381465973201,
      0.371223687230637,
      0.540629291241847,
      0.435665740646243,
      0.497724379968658,
      0.430676137158913,
      0.524001193399228,
      0.425708101441233,
      0.332343158383222,
      0.406265152010128,
      0.521387668289277,
      0.374947294716259,
      0.473124268240376,
      0.578648635090289,
      0.428193569135051,
      0.489746799431652,
      0.499631181571537,
      0.526141992640261,
      0.364802411894596,
      0.546628902753372,
      0.551100432653365,
      0.414848862578326,
      0.434566162830827,
      0.492351636703411,
      0.418480357518156,
      0.450875941591024,
      0.5880768943581,
      0.579479067654342,
      0.34794176284316,
      0.54584170340986,
      0.426095883022891,
      0.519292221950442,
      0.451993742194321,
      0.609674868021202,
      0.403295486330883,
      0.435442087376465,
      0.565145979140774,
      0.586293491869282,
      0.492412735674504,
      0.443714440016952,
      0.578080574997465,
      0.597878095984016,
      0.561853786527732,
      0.411878202251724,
      0.511144752189815,
      0.510220311456053,
      0.462932260196066,
      0.580482103447405,
      0.609045727277343,
      0.446012377944404,
      0.593808033267189,
      0.617247766423105,
      0.479760716245716,
      0.459701932429302,
      0.491563500311635,
      0.607989084501644,
      0.450650818928979,
      0.418066457899686,
      0.48961117922457,
      0.564761522368037,
      0.466995307962649,
      0.576423130132656,
      0.551267574038167,
      0.435559490514877,
      0.580335770520078,
      0.59975873474023,
      0.553850932280059,
      0.439360766050078,
      0.450377978564801,
      0.476098951363612,
      0.654510784590825,
      0.47765023842529,
      0.669714976230107,
      0.475084030969731,
      0.454270304471931,
      0.625129755102863,
      0.533539756555197,
      0.512098806407654,
      0.599581971432236,
      0.603102552755977,
      0.550056255415375,
      0.554204609214824,
      0.49764787724292,
      0.440303950201905,
      0.475703834762087,
      0.440586469021945,
      0.601748231004027,
      0.546801981833657,
      0.557575375175964,
      0.458810713993628,
      0.561370229348333,
      0.534439826506528,
      0.402526216764727,
      0.307093727750003,
      0.388141805152157,
      0.299588195611087,
      0.330657383312476,
      0.334045168665734,
      0.318929483896852,
      0.340949249453298,
      0.548480594395112,
      0.418982095365721,
      0.564459096221206,
      0.365026258255419,
      0.326175977976988,
      0.301100477512409,
      0.255565039111103,
      0.430530672578642,
      0.405079851652692,
      0.310594714425267,
      0.415880265975473,
      0.300480878028895,
      0.365594919920717,
      0.367702502384426,
      0.495652399007056,
      0.302151823209146,
      0.359342066752401,
      0.491128605428458,
      0.443655081870243,
      0.494928884992712,
      0.388968987994938,
      0.456098112542425,
      0.468006617199439,
      0.381363317698873,
      0.42098754047789,
      0.588577787404504,
      0.427044831251392,
      0.433733946193427,
      0.472387122689585,
      0.408417864016093,
      0.297081895625248,
      0.489075412440353,
      0.599442397360277,
      0.492992764095405,
      0.378921360694258,
      0.466873494128303,
      0.394850270898588,
      0.36173369379286,
      0.388511779808256,
      0.635217091498975,
      0.424675954919682,
      0.389990095916627,
      0.380301277725739,
      0.498855097509114,
      0.33647379971469,
      0.370463716868387,
      0.484122152804143,
      0.482531568951694,
      0.449925628136258,
      0.573711603950438,
      0.604786337960323,
      0.51222304784035,
      0.454828968203441,
      0.473863616965693,
      0.59630988049752,
      0.512909390664463,
      0.365396737439615,
      0.424118772548293,
      0.595071979618288,
      0.466222597441209,
      0.583717840837051,
      0.526470085636978,
      0.45120847640479,
      0.602680498634506,
      0.608710355787486,
      0.557219947400614,
      0.46837553188788,
      0.465292709287638,
      0.509549103679793,
      0.667885653494472,
      0.477686694568535,
      0.626264260910954,
      0.499422439221438,
      0.458548604535027,
      0.593301086408896,
      0.532252439823456,
      0.443841748664249,
      0.63301389298396,
      0.596565132868381,
      0.532936791269889,
      0.547384423963136,
      0.507889189228109,
      0.450965740499448,
      0.526623660804799,
      0.468972835342156,
      0.616687438808801,
      0.464325346278451,
      0.520679142505785,
      0.5637572332889,
      0.536529738982199,
      0.50172933889225,
      0.53120813530105,
      0.622616218184827,
      0.572161014229501,
      0.482231892240128,
      0.565294587942843,
      0.406702027040003,
      0.572447882421262,
      0.423238205513755,
      0.522422544620014,
      0.559295164404626,
      0.532387446450317,
      0.453184014223234,
      0.573916033721212,
      0.584782952056065,
      0.455395440841898,
      0.394360468931438,
      0.366412294151893,
      0.313356439221741,
      0.364253531629899,
      0.421424285660825,
      0.407213594964448,
      0.388015942139515,
      0.442579104604853,
      0.36875860473751,
      0.45394772082912,
      0.462233588000435,
      0.358211409062979,
      0.270036255504905,
      0.435494263263452,
      0.404568869073816,
      0.552810230394151,
      0,
      0,
      0.445672733646854,
      0.257171836103826,
      0.305197145906776,
      0.328386745020961,
      0.289572590059121,
      0.439109522093563,
      0.388767401393214,
      0.431435629679319,
      0.340216230348432,
      0.228272574478906,
      0.338628058670068,
      0.253316015134018,
      0.223439249504626,
      0.34844435086065,
      0.327658249676113,
      0.352510680636961,
      0.322992336192576,
      0.290424016906763,
      0.356204207894218,
      0.315704429907264,
      0.428492386391406,
      0.311797269246019,
      0.419893371049693,
      0.359713452805716,
      0.285233489816312,
      0.337756355151926,
      0.36285911321452,
      0.445702078545322,
      0.434756232331878,
      0.421177257373011,
      0.419252212637825,
      0.498131631350323,
      0.350128590598358,
      0.449248204546013,
      0.409753758057518,
      0.465661297494345,
      0.417551719545482,
      0.512677336478766,
      0.391544524842586,
      0.400288086409328,
      0.524945356569168,
      0.558198462499699,
      0.513433298678043,
      0.436756168013502,
      0.599631519243942,
      0.429530385393281,
      0.395138952016645,
      0.446369951759847,
      0.3926061297697,
      0.442221514476532,
      0.645306868506623,
      0.593003459132942,
      0.341058373822811,
      0.382395346315772,
      0.443189583099053,
      0.330951211736527,
      0.434909327873813,
      0.377811181210538,
      0.541023772069672,
      0.44310422931928,
      0.422046921300401,
      0.485043021736719,
      0.406809287271982,
      0.379058391924646,
      0.394287768979738,
      0.411338040849651,
      0.465008498903126,
      0.488158351249846,
      0.378198479359051,
      0.37354431844222,
      0.467585671031787,
      0.382931834699707,
      0.457894191542375,
      0.474950880482269,
      0.480168977207081,
      0.397242991009423,
      0.428681331538054,
      0.54951542674968,
      0.394480012802904,
      0.421301102295194,
      0.400397054405421,
      0.488663091981612,
      0.319928479760486,
      0.408623189148602,
      0.525670478963948,
      0.295525254048207,
      0.38222516078396,
      0.508004594108656,
      0.43119270923457,
      0.373434979072492,
      0.552549120819607,
      0.53907489531228,
      0.464472753667857,
      0.388110821185134,
      0.443228122653855,
      0.398544406070891,
      0.517851830834431,
      0.558652216584653,
      0.621576534098397,
      0.457858565357941,
      0.556861571590838,
      0.463119479468705,
      0.492735170750656,
      0.560722666149073,
      0.582475116639291,
      0.412145035619658,
      0.362897535441121,
      0.401604945604976,
      0.364137590668549,
      0.440796677636246,
      0.447612119171249,
      0.509617952759659,
      0.452989071912242,
      0.344022345278128,
      0.443192458701304,
      0.449292103560461,
      0.443061563559193,
      0.278304562110545,
      0.486574809760164,
      0.508714856056708,
      0.376869056034379,
      0.439710135109939,
      0.362596339794695,
      0.369653546505645,
      0.302313108691007,
      0.476237130621335,
      0.430703508081694,
      0.395577162650315,
      0.384362271798925,
      0.466992059329704,
      0.519400039202326,
      0.363207857127044,
      0.524897296985987,
      0.458083642803092,
      0.586135418992203,
      0.447218219573305,
      0.467916832388495,
      0.4497341454691,
      0.476535865232997,
      0.414588576174083,
      0.391321900400881,
      0.411371694842847,
      0.566959738525776,
      0.599317654750523,
      0.520788722475263,
      0.496797828752468,
      0.524892555024383,
      0.464441402808713,
      0.582483840773697,
      0.524600159841713,
      0.645191987238143,
      0.510220513945453,
      0.55078088753364,
      0.605019652104177,
      0.529410786504369,
      0.504370872742073,
      0.552366064354917,
      0.61824107019333,
      0.555569791717937,
      0.455707491161252,
      0.523496000825311,
      0.446995052843599,
      0.522251946028445,
      0.31225651193968,
      0.570935462228729,
      0.560464343760167,
      0.593491399800713,
      0.388066749190197,
      0.573628143900455,
      0.529181700598388,
      0.528884965928863,
      0.524197512778245,
      0.63614522678666,
      0.52380417322493,
      0.444516577359522,
      0.488000476876705,
      0.580921833113667,
      0.278214697177401,
      0.38050006317947,
      0.547582051106566,
      0.621830185328816,
      0.518277789788822,
      0.583775275061682,
      0.566652189186951,
      0.564423937563839,
      0.542729780189983,
      0.531549036127314,
      0.57526219571403,
      0.492477613146195,
      0.514283027135819,
      0.448656401960933,
      0.399894891286027,
      0.392899850240048,
      0.586515796859644,
      0.563357374908781,
      0.686606093322291,
      0.599635000613479,
      0.420316721495056,
      0.467840757453264,
      0.490242431374731,
      0.450491760655885,
      0.387236495092623,
      0.521584834979481,
      0.59851072235216,
      0.515491114174976,
      0.334626049447277,
      0.396931337818418,
      0.397158159792532,
      0.345644673482539,
      0.367059964154112,
      0.594401147490808,
      0.408099410279669,
      0.356425920123772,
      0.35692613281551,
      0.491516941661156,
      0.300897487199689,
      0.409387864500041,
      0.502972975362595,
      0.608246682608183,
      0.359589009220407,
      0.374349123135736,
      0.537565626548729,
      0.341453637356636,
      0.388486575644469,
      0.316935687773294,
      0.441592935646858,
      0.571165504432667,
      0.461290145182585,
      0.421018091045227,
      0.393104556752344,
      0.349774548003002,
      0.434648692125998,
      0.542981264211162,
      0.426638206157224,
      0.399382372255563,
      0.418363230869146,
      0.387517174373005,
      0.32386864199733,
      0.317486240373691,
      0.257285084362568,
      0.406771590437852,
      0.436876415739102,
      0.526032425361897,
      0.415672625733625,
      0.405787076744637,
      0.504291131878483,
      0.438375682919872,
      0.385830475952799,
      0.524061198045742,
      0.572724410611172,
      0.361259176140879,
      0.350344141819848,
      0.429564643554417,
      0.34213800843211,
      0.360579183281561,
      0.396518828324638,
      0.60772258611711,
      0.384047030109694,
      0.415487493179562,
      0.440118887485596,
      0.435313202821739,
      0.395637950643847,
      0.345848818037584,
      0.562353617800449,
      0.375479584912084,
      0.534666443090364,
      0.403769643968865,
      0.377092221381637,
      0.509424144005622,
      0.438848003243424,
      0.421761880198294,
      0.401539418552454,
      0.41511261140846,
      0.428505154515754,
      0.41346119435179,
      0.425728696627462,
      0.424189742992896,
      0.378095362435523,
      0.528147654992634,
      0.434924253817012,
      0.323149765051125,
      0.427135373596283,
      0.534161586536672,
      0.374140978338142,
      0.336253458473924,
      0.376566626625696,
      0.49673391353706,
      0.407369353177254,
      0.474681947294063,
      0.50411651080594,
      0.444703512417317,
      0.325617092655814,
      0.450148077654031,
      0.524645418396049,
      0.337847640387953,
      0.522430789710805,
      0.538257225910934,
      0.364679460598776,
      0.407553347482128,
      0.400182047952071,
      0.355786166208982,
      0.492975796135476,
      0.588502424120447,
      0.586242185220788,
      0.379112775249599,
      0.492591351463641,
      0.373316327931242,
      0.419253288131141,
      0.398487174762,
      0.569749761981443,
      0.380239061666117,
      0.479490252496784,
      0.495243812993126,
      0.560078282674811,
      0.49757012181228,
      0.471890048095137,
      0.58609133481579,
      0.562234086684967,
      0.613611158029319,
      0.4204703419264,
      0.464350359537708,
      0.486006818666327,
      0.467465409195629,
      0.541774602713302,
      0.642562748758365,
      0.457286875584891,
      0.588846916816854,
      0.552916677668307,
      0.475379362864638,
      0.466241514902495,
      0.505040217680616,
      0.536129042201873,
      0.485174391961323,
      0.421760515990763,
      0.459276218553407,
      0.572434540613852,
      0.461740233552217,
      0.53467913268887,
      0.575459769458961,
      0.446741133887949,
      0.581284603072536,
      0.58486128918679,
      0.527676078296159,
      0.441371473033673,
      0.496104899524621,
      0.471037631712289,
      0.619657541614896,
      0.468058082492401,
      0.663502172474154,
      0.52538992041958,
      0.491507835624318,
      0.602495141305486,
      0.554905204190067,
      0.437032228998947,
      0.548687525928468,
      0.633274177359868,
      0.50737171530705,
      0.531924614389091,
      0.468788056061912,
      0.466843279015264,
      0.489497421558092,
      0.319597134062167,
      0.611464929492273,
      0.538611877556501,
      0.545856964553973,
      0.52888898880984,
      0.553344243614656,
      0.507094110989974,
      0.332110088104995,
      0.356385942694657,
      0.465430563853543,
      0.329870896050233,
      0.406107776616397,
      0.306503330840716,
      0.300927295731371,
      0.320614796159073,
      0.578436762455805,
      0.43140425780557,
      0.547008435917175,
      0.395874632226373,
      0.293664094000664,
      0.304222825400424,
      0.279524766832766,
      0.41438815872577,
      0.444694245439562,
      0.323397032155759,
      0.388726762937599,
      0.331903781524085,
      0.340022416335808,
      0.378991919922,
      0.419169118403938,
      0.29674047540614,
      0.358008612070193,
      0.470646663112931,
      0.423250290155019,
      0.452373794700711,
      0.369170006946773,
      0.424981594760789,
      0.46593170368305,
      0.378871428997095,
      0.440518804396325,
      0.564854056683641,
      0.451986106835458,
      0.391264812399875,
      0.467550217324501,
      0.402587185186607,
      0.357302859320785,
      0.49356340694254,
      0.605691161042961,
      0.394318234350479,
      0.403410217445238,
      0.463176148318958,
      0.35118533691027,
      0.337141849821323,
      0.395631013635083,
      0.578453539167013,
      0.440800277381497,
      0.384726021845403,
      0.434213034690615,
      0.453885715636609,
      0.342764976520113,
      0.432192775511232,
      0.506813258564673,
      0.458204055799812,
      0.448258821297835,
      0.584175528057019,
      0.537901871775789,
      0.555719539922892,
      0.458617776616072,
      0.489453303880211,
      0.533015183336252,
      0.553453729331088,
      0.442143138232652,
      0.406217444886599,
      0.5822953102312,
      0.461484161100743,
      0.512155788564612,
      0.570387079491958,
      0.458087490031064,
      0.623388936390829,
      0.576073135653282,
      0.559123668769508,
      0.453365343120988,
      0.504330932962267,
      0.47241720357708,
      0.580694076398962,
      0.498830015453182,
      0.627646198554866,
      0.553125894203355,
      0.454334788452742,
      0.570600070493063,
      0.571932216307637,
      0.418453826352703,
      0.549919947993915,
      0.607185889837491,
      0.536925482226628,
      0.521744192397176,
      0.503861332722392,
      0.446234551770711,
      0.547995097096992,
      0.458028024239137,
      0.648262248059369,
      0.491734550010548,
      0.53492320603186,
      0.585212136454943,
      0.578187815287454,
      0.507610792355094,
      0.505495341761592,
      0.621204353467228,
      0.595695479697742,
      0.459617493000235,
      0.53840043158785,
      0.393511293182279,
      0.578935876006795,
      0.358568552806445,
      0.51232170356337,
      0.572144532958517,
      0.564583875448174,
      0.371592893982285,
      0.557349736376485,
      0.582654344977961,
      0.389454655654586,
      0.3213464563335,
      0.265268161522255,
      0.246784769310091,
      0.272445179077612,
      0.322403871487408,
      0.343790281661948,
      0.298641199675305,
      0.381673441135717,
      0.310651346690584,
      0.380091513890438,
      0.426518308792973,
      0.325659310590721,
      0.290728046020373,
      0.323391991930248,
      0.269590862096523,
      0.454106787616765,
      0,
      0,
      0.287604362611338,
      0.194276376003178,
      0.299257782222709,
      0.338087615204894,
      0.336712516874431,
      0.379455621273196,
      0.363516090952845,
      0.306766160444798,
      0.216636683702573,
      0.238664545333612,
      0.311861635126264,
      0.352445893987217,
      0.292502615873536,
      0.345795558832134,
      0.255138369458868,
      0.332210434135957,
      0.213725442527426,
      0.277756051748831,
      0.318783646565833,
      0.286919936296655,
      0.400613249192848,
      0.252704995402182,
      0.375685933546352,
      0.28077944442405,
      0.258307135417902,
      0.278846772380419,
      0.309929121430916,
      0.439174787245726,
      0.437657552408342,
      0.595195324492004,
      0.424937088268713,
      0.559296240404908,
      0.369314445389369,
      0.485549870549343,
      0.434281890389073,
      0.47985913018637,
      0.633573223055085,
      0.49987956119239,
      0.44258248685054,
      0.431488960051634,
      0.605686934879196,
      0.504533178927182,
      0.485376547758032,
      0.503078566391651,
      0.633724693528891,
      0.519528361277018,
      0.454074037717528,
      0.500585550102643,
      0.380647358792358,
      0.391688420326897,
      0.440429537328864,
      0.646090012580257,
      0.422132030589259,
      0.420408397263585,
      0.455719762213354,
      0.340028182278897,
      0.437659982395377,
      0.464572187556169,
      0.570557055950116,
      0.451796718024091,
      0.494876383536821,
      0.497287166320008,
      0.432161840623161,
      0.419348588402461,
      0.597026121188815,
      0.496681173022591,
      0.47323537530204,
      0.518284624923592,
      0.395373549421138,
      0.437254356538202,
      0.470742214313084,
      0.493686037713145,
      0.447306763223878,
      0.47546932104179,
      0.499078414491964,
      0.491110418205111,
      0.479037768688209,
      0.517229707432963,
      0.416104196023187,
      0.421576680795189,
      0.549239894003988,
      0.47792898148514,
      0.331556594601386,
      0.400489611191722,
      0.502832715112552,
      0.330772085285626,
      0.3764852328608,
      0.48866963332823,
      0.472342650992048,
      0.487989555233275,
      0.544195938852226,
      0.485858155233274,
      0.412523225271535,
      0.384384327633332,
      0.445680883033087,
      0.40097659240169,
      0.446626263461397,
      0.569703059951834,
      0.591488224411286,
      0.459505384718776,
      0.516057910232125,
      0.468014715698732,
      0.416054223980641,
      0.464174474478368,
      0.60168387628107,
      0.40097150646208,
      0.321682023165932,
      0.452053087506325,
      0.403009949111955,
      0.450683161422765,
      0.438884849272493,
      0.540430238330273,
      0.400929650505594,
      0.30732584474519,
      0.517716161433802,
      0.523643559225454,
      0.461518547767944,
      0.324611502999738,
      0.460584866577961,
      0.457405212425095,
      0.3275600612952,
      0.351477518464232,
      0.356585328080723,
      0.371191505629624,
      0.293411930468118,
      0.42402970538349,
      0.386562569287542,
      0.33820542385657,
      0.470871098567828,
      0.4143443949888,
      0.457448110069156,
      0.400339444181898,
      0.469827202452706,
      0.381355636694825,
      0.454364308976724,
      0.42683970700994,
      0.461189506150463,
      0.518563978086416,
      0.542185770798007,
      0.448519750804725,
      0.367277142397918,
      0.342975392653987,
      0.578203798596335,
      0.612983357582672,
      0.504298133214096,
      0.493435909360062,
      0.539303216164962,
      0.482221044085333,
      0.548043536013094,
      0.485930453394361,
      0.628392830601272,
      0.455528394306176,
      0.487107761055643,
      0.524213464235805,
      0.491251107733716,
      0.501868771807011,
      0.538752790472465,
      0.624349728809753,
      0.535964033825945,
      0.428896007353715,
      0.504378457867886,
      0.484728169125414,
      0.578060819563345,
      0.268774500046905,
      0.604261979876887,
      0.538243717690475,
      0.571715769858695,
      0.411337763622133,
      0.568286791985919,
      0.558558573849861,
      0.510599409157437,
      0.415995955466805,
      0.634998773715351,
      0.515724057624046,
      0.425908141676987,
      0.494923707029699,
      0.58068787302225,
      0.300854311668486,
      0.368806150601854,
      0.588099013426018,
      0.617856344855289,
      0.550476852631576,
      0.55457985895242,
      0.542637029241462,
      0.523998478744135,
      0.546765259670813,
      0.51197039932534,
      0.508727199140851,
      0.482763369647275,
      0.535900241970042,
      0.431653189816592,
      0.405311282045708,
      0.406236173366902,
      0.579658549224572,
      0.576732185038934,
      0.625647743233694,
      0.633174318332191,
      0.411756197822952,
      0.404002016719308,
      0.439421267909794,
      0.37916849123091,
      0.467058429204619,
      0.588544920061023,
      0.601464945504517,
      0.482056650782329,
      0.244021873528547,
      0.434807901862471,
      0.45302832026633,
      0.278788979979295,
      0.378137268470597,
      0.601452767198509,
      0.45193761233887,
      0.362652549549047,
      0.415304096676516,
      0.493423250401155,
      0.285280194220368,
      0.487458464352993,
      0.569446628718423,
      0.542381741648412,
      0.344384268208017,
      0.463311406959508,
      0.531529432904848,
      0.332726174077561,
      0.377654307112752,
      0.325172443834588,
      0.409321949739474,
      0.467091389824091,
      0.409027068936408,
      0.438474242630095,
      0.457729650475336,
      0.527819080806321,
      0.485753582706453,
      0.521656164149946,
      0.433635301923435,
      0.477280416274365,
      0.457723169449067,
      0.400757182969844,
      0.417543203405317,
      0.365765263016759,
      0.492235411006935,
      0.397419783585824,
      0.429732458464038,
      0.518570800471258,
      0.402763614992761,
      0.553723481282539,
      0.569029961707165,
      0.42340908587202,
      0.406809192799881,
      0.47976402545617,
      0.599156505330014,
      0.377843864657284,
      0.358129162188116,
      0.424873672309466,
      0.384645259177639,
      0.328437890999707,
      0.350461206780082,
      0.573988496741257,
      0.377812668346951,
      0.35855708568083,
      0.454023134889296,
      0.419590930771896,
      0.413131275947765,
      0.467628342063813,
      0.58215763296577,
      0.34203709805562,
      0.501570177146928,
      0.435629988749638,
      0.381417000829023,
      0.450300761760993,
      0.370412851301164,
      0.428353062340636,
      0.405850714197102,
      0.428617879773328,
      0.424984262566743,
      0.431868302762782,
      0.416706154816468,
      0.383224762026103,
      0.368956672899986,
      0.585224114603834,
      0.429838446332857,
      0.472182585480839,
      0.423776917061109,
      0.527253293056361,
      0.374751653048004,
      0.299391365526453,
      0.363961468735505,
      0.428077907229705,
      0.43314624427072,
      0.419237965551927,
      0.48321790349298,
      0.343474219655325,
      0.386992638414939,
      0.347407774155985,
      0.48700300889426,
      0.347919925704636,
      0.530776368607263,
      0.494475336447935,
      0.32233689958325,
      0.46814985586745,
      0.409443938082919,
      0.352159848693773,
      0.483588115833159,
      0.593119777590321,
      0.52400781265695,
      0.330823300644434,
      0.498992776592653,
      0.440457433500901,
      0.486568213371723,
      0.404498968462846,
      0.582739121020801,
      0.376583291083853,
      0.494849829005876,
      0.515197738655843,
      0.571676634974148,
      0.490454578176626,
      0.445138228136917,
      0.556200860760135,
      0.562109665348481,
      0.611798200626002,
      0.365415780745657,
      0.508539125805646,
      0.457358980802883,
      0.478473008892691,
      0.501496406061806,
      0.566338984448535,
      0.483336238550203,
      0.588846663291086,
      0.556117686955142,
      0.505170351702508,
      0.470623327582191,
      0.453112276520927,
      0.552840543026507,
      0.455145223039443,
      0.43858633019879,
      0.448398606689581,
      0.51946503826853,
      0.418920235642572,
      0.62876515408809,
      0.48485084892734,
      0.448993014252111,
      0.555378368799353,
      0.60918161479216,
      0.526283353287594,
      0.482403047770851,
      0.459387359142315,
      0.433206525906295,
      0.563893958883808,
      0.460863003913146,
      0.61884046649354,
      0.491727717365047,
      0.474057297595299,
      0.615636094996287,
      0.485461164706336,
      0.428787311413746,
      0.572048418166223,
      0.647491852851715,
      0.484330669217342,
      0.525216490230668,
      0.480099041369915,
      0.441813043136171,
      0.54296153766643,
      0.323157553054703,
      0.592959821076655,
      0.492021101619997,
      0.496862167157778,
      0.470572552121357,
      0.562724588640984,
      0.551139673744367,
      0.40859954464611,
      0.33304986710499,
      0.441133665032946,
      0.283638332394238,
      0.366948153712684,
      0.381310175536775,
      0.296397216986646,
      0.357749107593995,
      0.531400551180022,
      0.503714785309996,
      0.501473929911263,
      0.319314908621184,
      0.320990012174293,
      0.282547403348282,
      0.244079986775497,
      0.382960368217089,
      0.416042300385284,
      0.302266726046574,
      0.355345653226665,
      0.259314818147388,
      0.26799689172448,
      0.397714894053705,
      0.501681936978589,
      0.297340779022637,
      0.379688667556908,
      0.464895976509579,
      0.401285385019656,
      0.441263524641426,
      0.38193446744118,
      0.391712257278912,
      0.392052986232129,
      0.382797736398077,
      0.432058713447611,
      0.557623287933274,
      0.431124067908755,
      0.355607180324223,
      0.430240238554612,
      0.407180855671444,
      0.338338613612512,
      0.451212485040716,
      0.594676106533677,
      0.371996617890672,
      0.408490238880262,
      0.425609036335025,
      0.383113523274977,
      0.393757371027294,
      0.411145291626081,
      0.59279354890693,
      0.39618821603182,
      0.403433561946521,
      0.351910935252388,
      0.432166729960214,
      0.30510647251155,
      0.347192367566225,
      0.508387319292686,
      0.42106852927455,
      0.476979564033284,
      0.567250468705993,
      0.550044652013808,
      0.566355652696598,
      0.476091239669497,
      0.465428926088557,
      0.540982961201269,
      0.517093468290884,
      0.370107681069679,
      0.411187519486033,
      0.546455992629173,
      0.424788161860717,
      0.585727713179221,
      0.486061491328933,
      0.440867976321695,
      0.606297728579721,
      0.605010300355321,
      0.532377207002629,
      0.50013100985351,
      0.488073066108058,
      0.4229691233192,
      0.512491832029993,
      0.506714772143777,
      0.595199070576583,
      0.521826878253337,
      0.44670127923073,
      0.59467097543337,
      0.474603174313735,
      0.452986022938127,
      0.578746165681767,
      0.602705203075527,
      0.508951162509551,
      0.510013132626612,
      0.522077998020669,
      0.461819056801943,
      0.552045289035006,
      0.447239263804768,
      0.630931865208855,
      0.427568083423284,
      0.492496926669412,
      0.497006062369438,
      0.530813555898903,
      0.525509447485969,
      0.548072376791525,
      0.6157497504106,
      0.594105086502404,
      0.435685969954295,
      0.523088965141202,
      0.468420270918881,
      0.615927352542864,
      0.305838902695863,
      0.530741650214706,
      0.564603807748763,
      0.532446111439068,
      0.43162682694228,
      0.556886654191384,
      0.60416661941043,
      0.427264303430706,
      0.349830070698723,
      0.317154134796743,
      0.326298875923917,
      0.264911993088405,
      0.289683720413576,
      0.281944632328425,
      0.299370639322835,
      0.355298294287465,
      0.277421302143833,
      0.351795745090311,
      0.359839823578556,
      0.376836683564299,
      0.283706829087433,
      0.268896195811375,
      0.269907116314346,
      0.401668758523985,
      0,
      0,
      0.264906980610493,
      0.201334390730399,
      0.261642469482707,
      0.269764249736985,
      0.250110827803952,
      0.323184834967547,
      0.263598566017092,
      0.238663143196858,
      0.239093868592603,
      0.222918744579489,
      0.244587554367561,
      0.248799603118315,
      0.266983214745989,
      0.382467150053843,
      0.208922376143328,
      0.36700875827765,
      0.239252446959117,
      0.266475307659108,
      0.355998473722741,
      0.35837088354688,
      0.333855015117234,
      0.27271655679685,
      0.384059683144777,
      0.254090478129951,
      0.289207161297366,
      0.343537882020333,
      0.35928401120983,
      0.447257227637613,
      0.385697746633786,
      0.515389442843451,
      0.420251056830426,
      0.46323078227516,
      0.369956298803967,
      0.424909542445631,
      0.448823629700607,
      0.483890679385667,
      0.595861558007717,
      0.483677381088372,
      0.43457268929659,
      0.434405663897686,
      0.591144365434423,
      0.446126202839762,
      0.50889868023783,
      0.448849492412086,
      0.584975186270346,
      0.525529568723487,
      0.473014493265481,
      0.499884818332326,
      0.38279386184633,
      0.388781078493761,
      0.477808210700579,
      0.600452727056762,
      0.435681919780747,
      0.419651810647383,
      0.43851621953013,
      0.301173069406593,
      0.416796664054936,
      0.393962560737893,
      0.555254679262712,
      0.425985496796062,
      0.441864849062604,
      0.53477627262017,
      0.438761545379154,
      0.423577959829088,
      0.549139232175333,
      0.472870355598276,
      0.462685064967567,
      0.606969598841708,
      0.414139067420746,
      0.411443700289788,
      0.569483732622796,
      0.359721704897971,
      0.445943540559684,
      0.498186124339577,
      0.487896930156147,
      0.379409787440205,
      0.451167777050826,
      0.547737645428114,
      0.420439937077543,
      0.478201998627341,
      0.554592527204772,
      0.495244968339897,
      0.299152212364367,
      0.443928206926062,
      0.545254719404025,
      0.280707492654461,
      0.379523640316465,
      0.439519623766363,
      0.49701272858265,
      0.487845176954071,
      0.514461766642562,
      0.513623537453092,
      0.38802144898768,
      0.348039848227569,
      0.440783474689143,
      0.323374400165967,
      0.405102582981306,
      0.554096616454153,
      0.509261700179429,
      0.484918010486896,
      0.484112505830319,
      0.473798248852257,
      0.382141801165393,
      0.541688420730666,
      0.611486889723366,
      0.37547175602116,
      0.35068174194153,
      0.416152777130034,
      0.392920210819231,
      0.371060746909228,
      0.344631055041512,
      0.515154015975265,
      0.390118733757045,
      0.210111013985969,
      0.436031541140656,
      0.447043176150619,
      0.492939522400881,
      0.300920331673529,
      0.475733518019389,
      0.432090229124244,
      0.284074846345662,
      0.304559942580146,
      0.367977164673645,
      0.371575257551533,
      0.261300522680454,
      0.395872794087913,
      0.363698666891014,
      0.349661280086426,
      0.435156013641368,
      0.482580855127855,
      0.45709055121127,
      0.317508337470255,
      0.427416697297528,
      0.403266082324581,
      0.460698501732425,
      0.415399834352216,
      0.42461474827505,
      0.392813980242311,
      0.534404675847794,
      0.419693423717989,
      0.39571533139921,
      0.384644939229922,
      0.538923185316731,
      0.575240026466458,
      0.499748853705115,
      0.462595703801669,
      0.54515000332409,
      0.476515258713999,
      0.4651808871972,
      0.470675537363889,
      0.650350945394194,
      0.473713958903858,
      0.493682745105099,
      0.495787673346858,
      0.534704041424622,
      0.478677282146318,
      0.512324593185602,
      0.61167344759379,
      0.524343264495895,
      0.443574285000249,
      0.483937541705137,
      0.484037884565687,
      0.510970688634036,
      0.301497069873137,
      0.588190280959468,
      0.5531569311288,
      0.542866481122519,
      0.404420448049735,
      0.565142468310164,
      0.536854748902607,
      0.50794611276834,
      0.494514329776044,
      0.632221456012906,
      0.47499662416602,
      0.437799165639098,
      0.464813447351071,
      0.523709963891393,
      0.232698067189217,
      0.328557351864419,
      0.578455245588436,
      0.578446520268626,
      0.467004335784962,
      0.575448335975602,
      0.559728926665766,
      0.521844505814072,
      0.509275905659878,
      0.503838025486332,
      0.517339738782263,
      0.454650353698741,
      0.542312937261093,
      0.429049347387188,
      0.375074654365612,
      0.379193355307126,
      0.587046044048692,
      0.569221706017565,
      0.617729220262617,
      0.604789306796209,
      0.404923659144632,
      0.387354249240218,
      0.450496046837945,
      0.496418268427451,
      0.441468555281531,
      0.454775030343491,
      0.561614022243426,
      0.523412209469158,
      0.233254283918052,
      0.469691049563558,
      0.496252293238829,
      0.288647843043653,
      0.300561575535229,
      0.573298909850434,
      0.39634732992153,
      0.32473760860632,
      0.376229812426566,
      0.452211046889054,
      0.229042288889086,
      0.400789301969208,
      0.539847323501722,
      0.49927129599294,
      0.35040213681744,
      0.384558880888721,
      0.527442808375393,
      0.307719587317198,
      0.424628369886719,
      0.338380732920262,
      0.385606128183687,
      0.431733434194117,
      0.422996511417384,
      0.557479222048046,
      0.494119981625039,
      0.447249618990448,
      0.428519844556739,
      0.508678884779671,
      0.396591759710546,
      0.385914918152024,
      0.398885200968781,
      0.375751450465884,
      0.3149817111773,
      0.260350263809754,
      0.497064928153598,
      0.393858184750707,
      0.42599560374856,
      0.492425863209299,
      0.39406237790664,
      0.459292299967624,
      0.408736715351613,
      0.390035256358889,
      0.400157223256015,
      0.595531431748497,
      0.547568424662332,
      0.337176623663457,
      0.336564578921881,
      0.434964138016574,
      0.268508852299233,
      0.300431506111404,
      0.383460669102505,
      0.552425707927967,
      0.309243996375403,
      0.460593603494197,
      0.4529892851171,
      0.407666739817213,
      0.399050614343966,
      0.50321689486873,
      0.580049484146647,
      0.329154140235429,
      0.492245532075798,
      0.325146071290337,
      0.403342815389755,
      0.394633744944581,
      0.407298115580867,
      0.398159959860089,
      0.386828579259922,
      0.409978063049697,
      0.405103527152655,
      0.427757005665685,
      0.420266031961654,
      0.364161889638765,
      0.345438464223673,
      0.609236033175756,
      0.465325500433134,
      0.458188980622327,
      0.414533184731797,
      0.530892218101344,
      0.363650558305962,
      0.349868076723856,
      0.377074022608506,
      0.420981060844621,
      0.365964924311965,
      0.451780679016489,
      0.464451398808132,
      0.298924888970557,
      0.375833445046862,
      0.472999505418977,
      0.471480101863933,
      0.358083819568591,
      0.479716440946205,
      0.471714122151936,
      0.307760590994001,
      0.355588229927688,
      0.524296155879748,
      0.361705114382858,
      0.468973589183417,
      0.551228801458792,
      0.492667358296825,
      0.397511343793821,
      0.453384854198282,
      0.438945451167965,
      0.488654701144733,
      0.412568583433547,
      0.597976731739948,
      0.389072877614389,
      0.47903112240901,
      0.512948261210639,
      0.591630889652913,
      0.494685473770391,
      0.431099051635718,
      0.521056399587611,
      0.565293440933304,
      0.529054734366385,
      0.397440613956475,
      0.488901715836078,
      0.504561933824379,
      0.474254679755227,
      0.498192467232275,
      0.631082578678635,
      0.4684390833591,
      0.544393771737822,
      0.59707004879728,
      0.512629796634306,
      0.502920370276402,
      0.426758902373361,
      0.512473223782993,
      0.494781032589665,
      0.40328232073137,
      0.485536627995875,
      0.549850052414633,
      0.41846324383739,
      0.572962521919493,
      0.578036328204966,
      0.440705658662548,
      0.505864407805588,
      0.566673929235238,
      0.496963087094038,
      0.46328819873143,
      0.484735782145928,
      0.438248544263262,
      0.473380355425164,
      0.460927690679107,
      0.649501892414605,
      0.520620822327548,
      0.458287168308748,
      0.554386629943981,
      0.570171650562786,
      0.419485332631778,
      0.529697931874309,
      0.617612961056425,
      0.498631044659408,
      0.485915054776738,
      0.479583070494156,
      0.495389204182028,
      0.495341148208072,
      0.319051413011963,
      0.602385882714084,
      0.533630971324452,
      0.477691259100359,
      0.406615987887641,
      0.553416877152611,
      0.519142760320304,
      0.377479194513682,
      0.255644298393081,
      0.349728150748042,
      0.265092896470336,
      0.34240690115428,
      0.352944613850616,
      0.275705237762767,
      0.265692083189645,
      0.504655399651619,
      0.512580574615283,
      0.433063122240343,
      0.340633308073545,
      0.265641594264928,
      0.259429497458567,
      0.233616257656379,
      0.332673245707569,
      0.432450402914097,
      0.306325199459006,
      0.388264301800938,
      0.312915564379089,
      0.262474021457756,
      0.407913576205832,
      0.359202812542428,
      0.308299793196731,
      0.386498002139863,
      0.477610521000233,
      0.388769136555067,
      0.457426535047945,
      0.361078698808533,
      0.493545582689119,
      0.447462113320659,
      0.350246862284015,
      0.393091086097818,
      0.520994086985528,
      0.440250716964195,
      0.366946537914907,
      0.448222787284603,
      0.416822487864222,
      0.330568504590778,
      0.424318066162207,
      0.576755890482462,
      0.439265178944794,
      0.385181158178457,
      0.458039180600948,
      0.379811875495544,
      0.400774923347378,
      0.418612314498623,
      0.571729830320897,
      0.403932099405704,
      0.397588390344356,
      0.37753101455955,
      0.457638652956466,
      0.322063506542218,
      0.383450472598562,
      0.486200915553222,
      0.430312209914504,
      0.482681506401357,
      0.520280327854913,
      0.613512622517675,
      0.551893392599302,
      0.471607609153118,
      0.455304721126746,
      0.523650500660467,
      0.561677922372852,
      0.36053331641099,
      0.423748955491248,
      0.588899681270094,
      0.408306788227937,
      0.550528718195258,
      0.580482851452929,
      0.406081962850466,
      0.544924375817162,
      0.564816302220904,
      0.521598315148056,
      0.496030256126272,
      0.473982753138413,
      0.431085641456637,
      0.536378441026331,
      0.508169559536183,
      0.625400188353443,
      0.528131658965663,
      0.442564776839078,
      0.523616409272576,
      0.593374582500723,
      0.457127942619435,
      0.53884174416547,
      0.551003143342285,
      0.503389506935899,
      0.515680744774772,
      0.51788757159333,
      0.488803449149959,
      0.490445250067281,
      0.394251195031178,
      0.623884757272913,
      0.450591200389449,
      0.462881586999569,
      0.46830446210721,
      0.51335848875181,
      0.496573951292542,
      0.531731667548002,
      0.588049995504134,
      0.567589937478117,
      0.398758302396326,
      0.509879703660694,
      0.471527751313632,
      0.553091555230443,
      0.333160101706668,
      0.489218106038886,
      0.581108610013105,
      0.489482688257172,
      0.395586311465935,
      0.530239129121821,
      0.574430235409686,
      0.39019601500277,
      0.29662218824881,
      0.224315509740114,
      0.196658835435756,
      0.219746977468444,
      0.297523430190255,
      0.218750572367328,
      0.189799365542496,
      0.313188746337781,
      0.239310809417437,
      0.275728507691098,
      0.283586585717121,
      0.4007815965101,
      0.27531848611435,
      0.235600920774329,
      0.276983631700955,
      0.363928787424633,
      0,
      0,
      0.396500428079841,
      0.351738564845425,
      0.304428506453934,
      0.32430687656283,
      0.341227791674692,
      0.338184482645459,
      0.366791711772016,
      0.338074000529056,
      0.333050022359932,
      0.303591937881734,
      0.274452166437113,
      0.327254839462746,
      0.282590079331481,
      0.305171912046991,
      0.254139774503885,
      0.364779915281559,
      0.234676874777579,
      0.279482277411999,
      0.313048266956262,
      0.238337577770277,
      0.293633145410021,
      0.201546112982029,
      0.279897188003705,
      0.252012454529082,
      0.297138649548528,
      0.229503562272967,
      0.265964399666509,
      0.407258564429755,
      0.452989779715478,
      0.506432771017038,
      0.391478775219903,
      0.533237300622018,
      0.3606659183413,
      0.405001839823191,
      0.415772665494568,
      0.527681294077773,
      0.581951524452115,
      0.558724502559359,
      0.410074768300503,
      0.419196400769653,
      0.538010422733876,
      0.402508515485987,
      0.537424542911154,
      0.46078943524,
      0.568866390037948,
      0.337532863024731,
      0.414560729268672,
      0.452321881910222,
      0.348343595746284,
      0.395911642373733,
      0.485793720182691,
      0.590638553213067,
      0.330843141804903,
      0.366618704493562,
      0.437933092331995,
      0.305922296707285,
      0.401974731988266,
      0.526381172520898,
      0.593564179259224,
      0.499799617992876,
      0.56059592399546,
      0.563564625230803,
      0.45992863251284,
      0.496768776951786,
      0.591035510982772,
      0.465275079300942,
      0.484142418131833,
      0.479764230367719,
      0.284014220557105,
      0.41295356755772,
      0.545389949265305,
      0.42540347177201,
      0.408217282651558,
      0.465871309983262,
      0.464864827248401,
      0.37379191580873,
      0.379119732775113,
      0.523500933834456,
      0.354316758720825,
      0.325998721555056,
      0.492784506759566,
      0.456681864410526,
      0.339272887904779,
      0.444205681812001,
      0.581979216254411,
      0.286821983180083,
      0.32260130306895,
      0.397051126093675,
      0.46981879703384,
      0.396440952263767,
      0.486292886339465,
      0.492127301118196,
      0.369672412212892,
      0.376454697770828,
      0.409349600717893,
      0.336549195451247,
      0.417196143099534,
      0.565896095128212,
      0.457669480281608,
      0.350323639830227,
      0.449434390086795,
      0.406523189024735,
      0.326901980855295,
      0.511690872317514,
      0.627075694967996,
      0.322098548198178,
      0.368295747142309,
      0.415708067211208,
      0.396433394996516,
      0.309108981732341,
      0.33205499170623,
      0.5513540930053,
      0.363700322407282,
      0.260044334827178,
      0.391084467261806,
      0.505963603284636,
      0.427684968376577,
      0.223642164921152,
      0.446477561217153,
      0.481452571941161,
      0.277437731597628,
      0.337185640038058,
      0.376383495647764,
      0.37042360300078,
      0.283169231071298,
      0.37765810518687,
      0.41502795992198,
      0.323987452248819,
      0.385772361561784,
      0.499703760601085,
      0.430211326536674,
      0.345217502575166,
      0.437054867811304,
      0.458091047294562,
      0.451883765457368,
      0.348301953012041,
      0.418728954995289,
      0.495987015663879,
      0.445681400034443,
      0.421127965825823,
      0.341487646489347,
      0.375469606835882,
      0.495201739754077,
      0.580615713842477,
      0.489766218078733,
      0.478381677702656,
      0.550502485255618,
      0.478360687875233,
      0.497928425597471,
      0.478966181939651,
      0.661566040455868,
      0.474583617638572,
      0.5061895620434,
      0.539503369531533,
      0.467325742978892,
      0.480491488536022,
      0.499114505828335,
      0.639919825080747,
      0.530251558997158,
      0.382109951532665,
      0.485528097357182,
      0.496747121403167,
      0.566664066350901,
      0.229099696820419,
      0.565317250011392,
      0.592342277216733,
      0.514850113922825,
      0.401983544821062,
      0.516434814007995,
      0.517228610778501,
      0.478748720659508,
      0.407534003074598,
      0.601953280293259,
      0.46507881175431,
      0.402427062864657,
      0.461916573289144,
      0.520846357377016,
      0.292351703105725,
      0.343092994103611,
      0.595508742422177,
      0.578014008884744,
      0.478165220376905,
      0.523789006767527,
      0.563442468061375,
      0.569438225211708,
      0.541743644696306,
      0.467784755824083,
      0.522289171671937,
      0.429001575542416,
      0.499789345188965,
      0.531727578506271,
      0.343416761856891,
      0.353014939381273,
      0.594256068491308,
      0.55404301925984,
      0.640932395815191,
      0.598181576543042,
      0.4162250718065,
      0.358862503468767,
      0.473708560559263,
      0.551207559490197,
      0.407580327785601,
      0.455077273004186,
      0.593434841807549,
      0.5349719950681,
      0.281149870488076,
      0.385316251900154,
      0.403501200137698,
      0.319768693392996,
      0.388226713042983,
      0.614038148583782,
      0.394918357547486,
      0.340046201971546,
      0.402468005572145,
      0.492579525740335,
      0.241443755393841,
      0.363746662370891,
      0.550065678668032,
      0.596268885820188,
      0.350833899491532,
      0.441713119569261,
      0.585997009731426,
      0.40049815089421,
      0.399509324801277,
      0.289325524587752,
      0.415265468969864,
      0.38168040911184,
      0.399719008697924,
      0.42924138608657,
      0.478914245151872,
      0.304755187305799,
      0.376296958321148,
      0.543912022104608,
      0.398792130088332,
      0.473765995958561,
      0.407805011041848,
      0.426017300563812,
      0.471518632648657,
      0.457988994954689,
      0.358246947687588,
      0.437097582367294,
      0.39636632189376,
      0.493726370637427,
      0.38377864521847,
      0.38430701588591,
      0.5317796675926,
      0.366578291307294,
      0.560618861576804,
      0.642410277114375,
      0.552946120604051,
      0.401771580821354,
      0.29395322697663,
      0.410282189703373,
      0.332686177622832,
      0.328100335124676,
      0.412777973287579,
      0.596794544369562,
      0.358191010154292,
      0.482043400028473,
      0.504664076319201,
      0.403054864884599,
      0.38630020139648,
      0.342583145265127,
      0.606514363890308,
      0.301648996457315,
      0.493566544350428,
      0.40495878139772,
      0.434313682406442,
      0.415564745720195,
      0.360665724010732,
      0.445236573209861,
      0.47087076813734,
      0.418815228577295,
      0.607612026842379,
      0.431699428440723,
      0.426719058208766,
      0.382279726706233,
      0.364587716015745,
      0.579056167026147,
      0.387566977014,
      0.315651780168192,
      0.479341347326841,
      0.515797399051214,
      0.375070481043298,
      0.327200073755821,
      0.379594912968491,
      0.408920667200813,
      0.518911537306893,
      0.445003559044221,
      0.531070499515974,
      0.335764284368763,
      0.330519581272879,
      0.384125106260439,
      0.425702956665321,
      0.322687756484141,
      0.535738983326588,
      0.447972504060331,
      0.293814155753498,
      0.429241303514582,
      0.497829509007348,
      0.393853157137184,
      0.657745241023602,
      0.587251524484216,
      0.489033463296857,
      0.346997843780858,
      0.454232538222015,
      0.42688304914574,
      0.36966701666714,
      0.430218423830497,
      0.614842419950665,
      0.383443301485631,
      0.465748325149354,
      0.549786108691737,
      0.599485770627298,
      0.480044143578668,
      0.437685200098876,
      0.567537561710379,
      0.592914302377271,
      0.469500658062409,
      0.404917150193499,
      0.508249868461474,
      0.525638927076584,
      0.485209497546122,
      0.491212200280199,
      0.603917984529758,
      0.439619139744308,
      0.504333121415339,
      0.544270239346091,
      0.522437205875474,
      0.513756667966066,
      0.429682980419865,
      0.531701799528314,
      0.444364378843345,
      0.392307975574196,
      0.471572900276133,
      0.54386453343599,
      0.40883421052058,
      0.426344453065309,
      0.5123262181735,
      0.376130434915661,
      0.481741063387214,
      0.519450294667046,
      0.535887015541262,
      0.487514235868367,
      0.474797417998687,
      0.42413550154225,
      0.505163413547795,
      0.456728721185128,
      0.668701025745551,
      0.517563601188819,
      0.455101114008058,
      0.518245563650385,
      0.532148003334602,
      0.444677946405975,
      0.536876960659448,
      0.615226227841707,
      0.487877342384235,
      0.488036620942793,
      0.481516777954786,
      0.476206782456923,
      0.468481155615445,
      0.270046240052128,
      0.604409824569999,
      0.529777722090388,
      0.512325223129332,
      0.466972691805071,
      0.532743659367575,
      0.518672200489602,
      0.274576916080564,
      0.237398209001687,
      0.329109038402506,
      0.320594963735804,
      0.365750087260509,
      0.340021790612129,
      0.331488996251443,
      0.283644136587394,
      0.532980300467285,
      0.530639605697953,
      0.436658649897133,
      0.366935023907544,
      0.292782801132237,
      0.274198088134016,
      0.23645116864999,
      0.387542965453123,
      0.401908369621779,
      0.294328591730137,
      0.353257185304945,
      0.294469200517182,
      0.265914496547322,
      0.374305575656411,
      0.395135524737978,
      0.299355145252895,
      0.422888191353018,
      0.475897775635289,
      0.424918716396217,
      0.504250423357592,
      0.291181142143712,
      0.376014306500898,
      0.490335168012009,
      0.377895569092159,
      0.480504422163165,
      0.538567534026775,
      0.440680555640167,
      0.357819180596971,
      0.42134263180069,
      0.377056396199059,
      0.286440333297146,
      0.393204122367737,
      0.59998785006653,
      0.423217301426889,
      0.365197490392104,
      0.419555813336535,
      0.375125887268081,
      0.31389074155979,
      0.423952782741526,
      0.617613160335137,
      0.375145428018964,
      0.377908248128566,
      0.347992910140484,
      0.437586947824771,
      0.313762471352157,
      0.306101108341556,
      0.517751536848317,
      0.423719725300221,
      0.419044516036151,
      0.495064271953935,
      0.568042245919624,
      0.56492929521436,
      0.480580998868307,
      0.471373865567322,
      0.522610211585162,
      0.491592099599834,
      0.372891931475184,
      0.429282632673157,
      0.56770844175716,
      0.431066788199413,
      0.430392217391103,
      0.546292766882689,
      0.397543973613159,
      0.504154885823231,
      0.500568898334342,
      0.52956944801285,
      0.503785209702917,
      0.487446055680939,
      0.448025829787728,
      0.522579186594728,
      0.492738870374101,
      0.631500425469971,
      0.516720669467163,
      0.442895614476946,
      0.472509298288686,
      0.535173224141398,
      0.3819824947254,
      0.53704805326753,
      0.587560310338243,
      0.483893071777107,
      0.539000990592964,
      0.528198890278293,
      0.476690596348801,
      0.50145926257197,
      0.428772128583145,
      0.617673563781535,
      0.460663651871291,
      0.512774203801361,
      0.509132490922696,
      0.490902055826621,
      0.485747661181263,
      0.514635243321093,
      0.652437690628993,
      0.529114733508012,
      0.394844115065335,
      0.543303505001908,
      0.46553214621645,
      0.610658555996117,
      0.289859442872095,
      0.493331850459177,
      0.595216250455512,
      0.471857702619608,
      0.403744580116989,
      0.511178755726808,
      0.566182264420266,
      0.294767643873078,
      0.266127990397493,
      0.193639860206971,
      0.159560837220138,
      0.212192506010276,
      0.290265162483125,
      0.266226021048813,
      0.204284397583866,
      0.299125770334849,
      0.254426258668585,
      0.331806914337672,
      0.343792439556579,
      0.398221590229677,
      0.38113856417048,
      0.334898272426178,
      0.279093606316043,
      0.40037256981218,
      0,
      0,
      0.341181814442719,
      0.298376523912225,
      0.295845677400667,
      0.293305859243886,
      0.296596129583597,
      0.307092228339564,
      0.323430416353453,
      0.300995835973035,
      0.295974302639381,
      0.269206443136668,
      0.277983973141198,
      0.306024326204422,
      0.323115535175698,
      0.377911354769109,
      0.173721341046944,
      0.268706402353704,
      0.215949003848335,
      0.212635161253068,
      0.32047074587142,
      0.243349902997776,
      0.292293169606932,
      0.195310215141945,
      0.250918939205424,
      0.1799432654185,
      0.176710024655463,
      0.286415501778841,
      0.289426037362485,
      0.398168532848056,
      0.408106164839493,
      0.553150390370974,
      0.407568783374817,
      0.503579016646198,
      0.442786578250473,
      0.393506269916024,
      0.404518773651409,
      0.533246623769528,
      0.680354669759006,
      0.539130781487593,
      0.473153184362294,
      0.492580053478211,
      0.51967579494179,
      0.432011936777567,
      0.508385856408842,
      0.486226473276853,
      0.578559630043108,
      0.395957598892412,
      0.416888583458974,
      0.485586507529715,
      0.320596915591126,
      0.404297904651313,
      0.42051793199067,
      0.639500267120203,
      0.46514446794394,
      0.377038132307113,
      0.430118142789054,
      0.313366657251847,
      0.394663261702768,
      0.538888865591086,
      0.602985499238521,
      0.425911265547467,
      0.554604543371082,
      0.499709554086494,
      0.45676997778453,
      0.489938081373297,
      0.64055760123153,
      0.518164137164822,
      0.618811619373987,
      0.627360418502679,
      0.348638919106703,
      0.39686275850013,
      0.583694728979768,
      0.436955462751765,
      0.433551243859607,
      0.44953845525399,
      0.498278343777593,
      0.382379844423862,
      0.390916472299229,
      0.525214371954861,
      0.32957294879613,
      0.512117250247204,
      0.578212668842334,
      0.515722007738024,
      0.289797015460634,
      0.446687707273914,
      0.539959041813408,
      0.310868536299231,
      0.398303814597702,
      0.426398850090516,
      0.500337661113671,
      0.404441909904204,
      0.536690277953344,
      0.398706415169438,
      0.356228404410545,
      0.377947129908088,
      0.441977664668539,
      0.328277898042178,
      0.427992452920235,
      0.599153841736407,
      0.506564582274633,
      0.403996885486911,
      0.448895572043333,
      0.396366854296608,
      0.292273340787735,
      0.447876441596583,
      0.607607776958858,
      0.346386787387976,
      0.422887868479629,
      0.476172111107526,
      0.422984550941982,
      0.296542381952909,
      0.260271720048412,
      0.573253890379434,
      0.376196316091985,
      0.287053199927093,
      0.437985255039451,
      0.542768642565403,
      0.442456547781887,
      0.255904827002952,
      0.469527855098236,
      0.495259157290821,
      0.21919365226969,
      0.306445721227712,
      0.3695246319943,
      0.381259613954955,
      0.200774225870855,
      0.37728092432313,
      0.467524692798181,
      0.305528545869662,
      0.394564647928467,
      0.384349413585764,
      0.400840759731579,
      0.307126069546035,
      0.367812720815861,
      0.379231007435745,
      0.469385341675962,
      0.363897582910475,
      0.494975632758334,
      0.483965369816686,
      0.446019046680476,
      0.420983418241196,
      0.373395790715318,
      0.459373085614068,
      0.487334179081367,
      0.605961829773867,
      0.49151944443067,
      0.463356138336856,
      0.525356705710129,
      0.447823893292366,
      0.551773814814978,
      0.488881683480755,
      0.694871846580109,
      0.491281692120685,
      0.49388982694698,
      0.494019478854063,
      0.534917330861364,
      0.433625164166456,
      0.474429107966457,
      0.666557987387928,
      0.514833673363479,
      0.414453703921041,
      0.48865877161785,
      0.459429131250637,
      0.568920146764133,
      0.25229441793892,
      0.606174644989768,
      0.576141273798521,
      0.557740703054918,
      0.404968123286527,
      0.518069167347084,
      0.560334326903828,
      0.472855717519648,
      0.426518387431264,
      0.584807704443231,
      0.446943798605076,
      0.40261535301213,
      0.457794752417292,
      0.579977587213412,
      0.283931388639897,
      0.347365020851223,
      0.648114767049948,
      0.586411908642889,
      0.483571673821492,
      0.54970944645041,
      0.556093672464656,
      0.521739974259734,
      0.556010070019028,
      0.432954362342174,
      0.509105357690935,
      0.428864911579914,
      0.492707057846739,
      0.496820622443339,
      0.329703140857351,
      0.353480936694584,
      0.640479057923984,
      0.547316684960064,
      0.571390286178849,
      0.641293761016517,
      0.44450723055788,
      0.35966216260414,
      0.461973950798822,
      0.42937555226828,
      0.400068702968994,
      0.440658781904885,
      0.662134410114914,
      0.533289160293503,
      0.274129407510408,
      0.390408180610317,
      0.480050905134264,
      0.27456104241265,
      0.396002955109484,
      0.621429961938643,
      0.420660758756556,
      0.369104089118861,
      0.493440722645878,
      0.501345934765178,
      0.264963198553735,
      0.30093623955773,
      0.536354932859361,
      0.589866485076398,
      0.350120587152395,
      0.409823474088676,
      0.466969484342772,
      0.361657068426989,
      0.386623174410159,
      0.276766831054924,
      0.481145452548626,
      0.377552929198949,
      0.431677153478969,
      0.487175953637473,
      0.491096446377118,
      0.304059658549758,
      0.365746722480286,
      0.591844615284138,
      0.393009700626764,
      0.474124985606224,
      0.422718922975566,
      0.377866228730696,
      0.494722688842983,
      0.429360795819293,
      0.51958223069679,
      0.463307866383133,
      0.43135051963855,
      0.509757302702767,
      0.336948509782408,
      0.357417311792117,
      0.482568925553327,
      0.355054107086318,
      0.518086043573711,
      0.573444073661609,
      0.588889214172342,
      0.375678121295906,
      0.305046383448974,
      0.488735501757295,
      0.322578629227428,
      0.287523496688623,
      0.444033751980488,
      0.624796374496535,
      0.310802718977048,
      0.460677183921247,
      0.470179268484871,
      0.414710675909514,
      0.432662672503434,
      0.545925040798663,
      0.611668879273644,
      0.326074307149342,
      0.480385834622199,
      0.383460685409926,
      0.497748760023561,
      0.384599614247453,
      0.290642081623639,
      0.449981792510037,
      0.48470587757315,
      0.431549496975903,
      0.527432152588436,
      0.380462750027568,
      0.466661210458562,
      0.468167575699043,
      0.32626889139876,
      0.562888088408746,
      0.441210404302523,
      0.383974398856111,
      0.468361651154611,
      0.514153248587857,
      0.424303796839518,
      0.395143148317037,
      0.39866863463771,
      0.43769930188431,
      0.481281652691243,
      0.463743758793182,
      0.5465200605369,
      0.324590893758564,
      0.393322029588176,
      0.427583249335394,
      0.482009542955782,
      0.345987777967099,
      0.5468602283116,
      0.449227312663217,
      0.293069675545627,
      0.457296635033333,
      0.415372315943854,
      0.378225176473452,
      0.578743945636467,
      0.610991490908844,
      0.479172467842121,
      0.339063296483142,
      0.490851476524723,
      0.457092180252473,
      0.395823331215696,
      0.384285526945633,
      0.624505088931633,
      0.386849060422867,
      0.451267409246591,
      0.528291606235866,
      0.577138624142794,
      0.462778003284837,
      0.425820501622839,
      0.571080381813461,
      0.557034165690437,
      0.496332286684146,
      0.36327914787633,
      0.470167263014301,
      0.521439273080968,
      0.48258887424792,
      0.507257964264574,
      0.577112733891975,
      0.383476189928511,
      0.536267048962528,
      0.511678088152405,
      0.476295136259424,
      0.494982264196251,
      0.42877880376273,
      0.524172344367376,
      0.452324566176555,
      0.38685301673689,
      0.527045951735798,
      0.515013669310534,
      0.408607354473387,
      0.474747860518217,
      0.545910855034714,
      0.372900301858166,
      0.44960330993304,
      0.551586073836492,
      0.543397943477597,
      0.458468468627107,
      0.462068588456186,
      0.417352623637618,
      0.529420008631955,
      0.440155673778155,
      0.666372875314057,
      0.531976400695638,
      0.452725410610425,
      0.488392020158585,
      0.532143717986207,
      0.410659515703562,
      0.49558327022221,
      0.674040932856979,
      0.524777901586734,
      0.506184855866932,
      0.477738460737107,
      0.452053807896262,
      0.576974318658006,
      0.304385934625765,
      0.670813110231666,
      0.568600916572838,
      0.520084807190762,
      0.442341315825079,
      0.544559052832562,
      0.533814676689992,
      0.268630067754424,
      0.253451293320198,
      0.357503608938237,
      0.283403117420972,
      0.35474468079584,
      0.312917534893487,
      0.283647232703978,
      0.207254975040875,
      0.525795318022144,
      0.564388280882236,
      0.390535243595403,
      0.378241061798948,
      0.278801936105261,
      0.241325080000725,
      0.174904852345655,
      0.361102541364424,
      0.369148026941879,
      0.326186955203818,
      0.294506008705009,
      0.209660254186045,
      0.315078522036833,
      0.362041656095862,
      0.317467156481374,
      0.315380758199629,
      0.436341029403447,
      0.455734435952646,
      0.429864637897332,
      0.452870137061453,
      0.311123318186957,
      0.415480684055848,
      0.407201170094915,
      0.327175353714418,
      0.400169611134061,
      0.590518721358818,
      0.383180452123561,
      0.352825952077798,
      0.373196987297076,
      0.396668976777346,
      0.29293186334808,
      0.378705730168029,
      0.630965875397498,
      0.427967750834974,
      0.308087169446898,
      0.438363611927195,
      0.411190102590358,
      0.293912792651822,
      0.423286623031756,
      0.630258591268886,
      0.40333273755858,
      0.32618817541475,
      0.328131259979995,
      0.488490386397393,
      0.337617995708784,
      0.299106844179375,
      0.533203688869629,
      0.475678812397657,
      0.396058098584108,
      0.508287152476344,
      0.524720024233865,
      0.540541833175673,
      0.426186436952055,
      0.439615430117859,
      0.533004730793079,
      0.492000652317307,
      0.379401149810604,
      0.48874526990812,
      0.567340901120461,
      0.428636362764073,
      0.425374681174817,
      0.540542153372964,
      0.380652758811385,
      0.490831140437368,
      0.514605478961579,
      0.492238717871149,
      0.462683841153359,
      0.463542418456527,
      0.443948860338086,
      0.4806893412143,
      0.477144471461359,
      0.635740547711093,
      0.510160318872686,
      0.419940244178254,
      0.464710078312539,
      0.531876468153995,
      0.371415561392912,
      0.49724715071748,
      0.598486092633703,
      0.487983453384905,
      0.511607491089745,
      0.515262789454177,
      0.425559636664694,
      0.587212816284575,
      0.408314778496206,
      0.664233290418113,
      0.507795497433864,
      0.482873710490379,
      0.481876482664328,
      0.52549845058129,
      0.457779457644738,
      0.491465889605474,
      0.671558132869971,
      0.512507802977153,
      0.427161363396641,
      0.500189430140889,
      0.45590494459813,
      0.608536516753107,
      0.310172842160438,
      0.520801873120004,
      0.620355197498594,
      0.51249002272301,
      0.402608572032982,
      0.549670543387902,
      0.609472604679469,
      0.357169458132858,
      0.305528611454679,
      0.190693025329737,
      0.201863419756983,
      0.211872280669785,
      0.293318477474643,
      0.311315728304787,
      0.255294498927952,
      0.276677971970584,
      0.288721950251947,
      0.340979220905838,
      0.376990308868505,
      0.39072512564975,
      0.341995768608787,
      0.326152476500257,
      0.31918365078465,
      0.369025035293046,
      0,
      0,
      0.259274668199346,
      0.254060696607712,
      0.191138053248183,
      0.161839722614626,
      0.213906286553073,
      0.260019086147322,
      0.220659185573876,
      0.263343576197107,
      0.204709573775964,
      0.182389247988288,
      0.134670312454609,
      0.222741864548558,
      0.218555776881238,
      0.344500139496748,
      0.247877699133964,
      0.331147350447409,
      0.218087837476355,
      0.215119344364281,
      0.233579580384805,
      0.186801492203987,
      0.354290111981115,
      0.236347839549717,
      0.349974818042006,
      0.23896895825651,
      0.201523964071273,
      0.209465928776453,
      0.201148829896406,
      0.408005032932492,
      0.360404745878507,
      0.391811901918375,
      0.371626711903874,
      0.463715970385445,
      0.425478008765088,
      0.442408490051475,
      0.434875997907481,
      0.499256364689112,
      0.480566772917682,
      0.624833800846845,
      0.517849034873037,
      0.396186542024371,
      0.422898000345171,
      0.436659507071929,
      0.49889127100475,
      0.420301606876416,
      0.602128624505001,
      0.348209701596564,
      0.385035692787692,
      0.452980927905206,
      0.367191818605424,
      0.383289038987895,
      0.406083711372408,
      0.618216247150271,
      0.42918978182825,
      0.388604713020678,
      0.376219629523081,
      0.294236591134477,
      0.431960065632576,
      0.391940557379512,
      0.585881427073292,
      0.458853953988768,
      0.44603086514313,
      0.464456980242583,
      0.44295178545255,
      0.467632145620635,
      0.425090937985849,
      0.4498719991629,
      0.512523542543622,
      0.589311559989513,
      0.286602919199905,
      0.311127219663581,
      0.562423365480495,
      0.319060170518758,
      0.397470758496549,
      0.41841589719614,
      0.430909973241615,
      0.340334935486548,
      0.391953109817679,
      0.527774712001899,
      0.34146914694654,
      0.454971141534264,
      0.452669240572596,
      0.461823552325042,
      0.277831116050836,
      0.432595937274784,
      0.491125678375134,
      0.330938279590222,
      0.470334011578613,
      0.404740773173717,
      0.58236621003791,
      0.367284483931264,
      0.511874802745485,
      0.456751795349274,
      0.35521025863029,
      0.412126309531594,
      0.507615613135075,
      0.386377404283273,
      0.414771158476585,
      0.597934760523081,
      0.559773829991643,
      0.360356191348284,
      0.450586297008467,
      0.369597692420163,
      0.26872250116046,
      0.462345210799949,
      0.606448442889867,
      0.383895621707082,
      0.456132730270178,
      0.446257000985806,
      0.403126955499927,
      0.291564889393095,
      0.243571531156327,
      0.531446309831397,
      0.342155861483274,
      0.236718134919581,
      0.385616826319069,
      0.472379239409246,
      0.393962191342703,
      0.300996926750984,
      0.44249157883829,
      0.48996469949477,
      0.232522818231967,
      0.31685206767061,
      0.46618444243455,
      0.375877705458579,
      0.26295540210451,
      0.404405659908345,
      0.432145709685621,
      0.285789797471012,
      0.432552238579512,
      0.425828199961414,
      0.372894261901038,
      0.267818003019925,
      0.362534474611916,
      0.411020598730536,
      0.436594626735415,
      0.397359200585497,
      0.449878280383691,
      0.394913292418698,
      0.445002579840672,
      0.448890064323922,
      0.327401000903162,
      0.460518505201114,
      0.506916281680634,
      0.584163425834899,
      0.51322992872113,
      0.457389552704106,
      0.5329765820537,
      0.463997648005451,
      0.499792375066195,
      0.473348705991342,
      0.677183923275858,
      0.51509086479244,
      0.500115322190649,
      0.47049353283012,
      0.492866011614828,
      0.443000576920395,
      0.484676892857843,
      0.634954908486344,
      0.519651622438023,
      0.441095774464509,
      0.477857906113211,
      0.460940309965382,
      0.53110782243564,
      0.358330476186462,
      0.602555432994617,
      0.541553729704514,
      0.551956247105465,
      0.462566609663786,
      0.528567609297977,
      0.534495391377485,
      0.494181185460309,
      0.411653342074053,
      0.599541546540828,
      0.467616171474887,
      0.449852857728373,
      0.485041491632922,
      0.507834342672033,
      0.325730751644659,
      0.37987634156233,
      0.600080173954349,
      0.594645732061208,
      0.445893945281138,
      0.529440011253127,
      0.522611137757162,
      0.582727361100421,
      0.557431741078861,
      0.473122775666383,
      0.505755299433306,
      0.447154233390578,
      0.512695792515303,
      0.475284731193728,
      0.324769514166746,
      0.375688560646763,
      0.638928601734067,
      0.55211800932045,
      0.557546575289759,
      0.595438621312123,
      0.426710987151975,
      0.439592605562827,
      0.449238853842661,
      0.584448984843598,
      0.413910284979767,
      0.404725374854814,
      0.625586152435147,
      0.534453293321957,
      0.26729155373185,
      0.391836331477582,
      0.42426536251429,
      0.358686450496808,
      0.463275854436012,
      0.622761212815706,
      0.428275151581424,
      0.342432357547366,
      0.375821214595294,
      0.478034469701707,
      0.266824564274334,
      0.32303001214065,
      0.514190118213626,
      0.549012698534124,
      0.391489912931317,
      0.367019446459897,
      0.519242598703075,
      0.314314665883189,
      0.382496468815953,
      0.314247448555509,
      0.463090549841985,
      0.385779663684774,
      0.420042699859185,
      0.573028706872631,
      0.484068009478911,
      0.262986667067753,
      0.391455035275238,
      0.595842010120457,
      0.391922685304287,
      0.397178151452153,
      0.445447348226014,
      0.542785483162063,
      0.411293328720842,
      0.37602870720324,
      0.392425334403344,
      0.430499515893308,
      0.40056813131708,
      0.494133260193906,
      0.329055828941739,
      0.31764664506052,
      0.363831159490481,
      0.370578070708356,
      0.464928459178738,
      0.590310588148784,
      0.567991988249441,
      0.319965642763076,
      0.354116548641149,
      0.462848297746332,
      0.318883099408164,
      0.288506617680367,
      0.474756243421856,
      0.618827675639636,
      0.263293241784436,
      0.5265472452724,
      0.464255474215868,
      0.411216236222336,
      0.432530738178932,
      0.53171342756357,
      0.599260379725606,
      0.336659289234076,
      0.501502274400469,
      0.354922220949891,
      0.434837261270239,
      0.352477768107768,
      0.333018412720815,
      0.430107956213281,
      0.472513402573469,
      0.352845965308046,
      0.405770825600569,
      0.371427255076858,
      0.41336629478114,
      0.444299245592862,
      0.342428391469051,
      0.523688997714638,
      0.393271080080818,
      0.296657308650551,
      0.482059282514886,
      0.495722056170457,
      0.554187171060671,
      0.451220763039042,
      0.395616848524887,
      0.409199435640016,
      0.379231765388607,
      0.449988275253389,
      0.534499333257401,
      0.35068760320207,
      0.373963217986295,
      0.44852663855313,
      0.494059711787307,
      0.311221000013555,
      0.566420843278384,
      0.48197927082749,
      0.273492025285184,
      0.396188892392412,
      0.44674329611093,
      0.388419567267332,
      0.479475561860187,
      0.624746403953936,
      0.526375016254928,
      0.404625626620391,
      0.443524686759643,
      0.378269220077113,
      0.318592299705337,
      0.345823350538145,
      0.621875148123396,
      0.395583084001263,
      0.450884569167439,
      0.540735190581395,
      0.54072841858114,
      0.488879723469413,
      0.405572593786083,
      0.543760835916131,
      0.539253553912345,
      0.540914033287626,
      0.388751463505961,
      0.47352282550591,
      0.511041113598517,
      0.458418225627444,
      0.469108731130733,
      0.579118055677467,
      0.397179148849966,
      0.461687699002316,
      0.546760362539033,
      0.480993608596176,
      0.492735813755466,
      0.425173749102222,
      0.48947695351392,
      0.482590710875913,
      0.367943165458018,
      0.516232202937675,
      0.524525775936859,
      0.441076979227464,
      0.423721720431354,
      0.513602760575788,
      0.410229975909952,
      0.448267624801302,
      0.502605206776697,
      0.552358220467287,
      0.467529264860821,
      0.485918358441031,
      0.428482149798178,
      0.509208323772171,
      0.434214060492012,
      0.672875212737209,
      0.538612458875684,
      0.469196262426153,
      0.488183232711908,
      0.514317219910594,
      0.399212028737997,
      0.504817267201228,
      0.666050637498137,
      0.544860590597791,
      0.508435029948809,
      0.475906768474732,
      0.464614171351249,
      0.469139183973624,
      0.334405004973167,
      0.641638464845526,
      0.565116176893726,
      0.474075238988026,
      0.465517043872337,
      0.535120654762021,
      0.506236146427937,
      0.237052982701776,
      0.243162774996852,
      0.283892035477335,
      0.229293416955969,
      0.309298998019734,
      0.332173766947948,
      0.201669315111881,
      0.172846948787279,
      0.529450131301837,
      0.512102958525855,
      0.322708517036449,
      0.328148746007524,
      0.175088675584904,
      0.2437602051273,
      0.185317755418997,
      0.331623217222449,
      0.308798502202807,
      0.282882638437822,
      0.313944013765351,
      0.231955771986037,
      0.371685660768416,
      0.356310736708273,
      0.392068885981013,
      0.386401990003679,
      0.418401290675104,
      0.443501180330509,
      0.420859700191685,
      0.431546183539315,
      0.324500419338684,
      0.397814512520915,
      0.40766489191745,
      0.327693631293862,
      0.399144541310102,
      0.55470433923985,
      0.369201977735619,
      0.342626686168596,
      0.412479977756833,
      0.427820358933329,
      0.334822383974515,
      0.387062648185799,
      0.628434057312718,
      0.394884689159981,
      0.315317807055019,
      0.441549378058322,
      0.365609822312313,
      0.297993271334163,
      0.41271308157898,
      0.595513860679817,
      0.368083715469853,
      0.348160375341616,
      0.333061447234074,
      0.459671258804521,
      0.316685275057387,
      0.339730795231538,
      0.52313920700815,
      0.435444308013961,
      0.41776346966249,
      0.472200765695329,
      0.543293486394957,
      0.505792442338737,
      0.463367723889484,
      0.464929730164857,
      0.52479027079338,
      0.549156847638383,
      0.341731228386914,
      0.511072895900307,
      0.57946886019493,
      0.430435620048251,
      0.429434447766946,
      0.538554857582937,
      0.363433775675221,
      0.477750099329844,
      0.490047942466656,
      0.531843946206824,
      0.475636274785548,
      0.477734213070659,
      0.413985871668193,
      0.447473493549552,
      0.438740759345285,
      0.625002541341047,
      0.532178265947984,
      0.411419460285382,
      0.448036015709948,
      0.504088203543637,
      0.398644097526905,
      0.489093063886205,
      0.591132912238752,
      0.525295232085171,
      0.531215177182704,
      0.528365848713426,
      0.45922903698677,
      0.488503447981245,
      0.400243244736631,
      0.645240303801068,
      0.52512637795675,
      0.480542358921098,
      0.470186384544731,
      0.507072065312783,
      0.504543936615994,
      0.475001580067407,
      0.644167227410621,
      0.503126330703638,
      0.453073256543559,
      0.51822886236822,
      0.469271071210226,
      0.561295010365956,
      0.346445684391925,
      0.509210241249729,
      0.591236241407965,
      0.508837363580774,
      0.45952527795504,
      0.546937743182829,
      0.553534106422846,
      0.40939563442881,
      0.354607198343992,
      0.36939226410712,
      0.410989526951543,
      0.328446271421491,
      0.298360181610672,
      0.297296842978851,
      0.364821611377216,
      0.373514635534106,
      0.38937718284941,
      0.400653599828096,
      0.351511656199455,
      0.37447211662192,
      0.214610117204423,
      0.349055139874318,
      0.421893046538779,
      0.386975876269489,
      0,
      0,
      0.326654435272085,
      0.24740295849095,
      0.222463687994159,
      0.262582339496869,
      0.255454976768603,
      0.358279757919051,
      0.354536726847181,
      0.34511647520757,
      0.262306765104316,
      0.236790555022052,
      0.255609158521249,
      0.18524966170216,
      0.23006143418705,
      0.268607154951303,
      0.208071829154029,
      0.30481926000456,
      0.148538059649986,
      0.20495165130085,
      0.201431320550314,
      0.16682946146413,
      0.314059829650758,
      0.223372905219935,
      0.307766564678829,
      0.156993428616023,
      0.164992714769628,
      0.227590589409845,
      0.201843910746123,
      0.39179973448849,
      0.376463339230194,
      0.503498675068715,
      0.382797925973246,
      0.486642862726179,
      0.421457801406803,
      0.482827770700173,
      0.462097349211057,
      0.466343450417026,
      0.64059217370237,
      0.606040982735581,
      0.603576145004577,
      0.450337300412177,
      0.475505661630685,
      0.457282455996633,
      0.502340517685602,
      0.397005579102234,
      0.617901529004617,
      0.378839764872465,
      0.425651512007963,
      0.385110022299033,
      0.382619278249812,
      0.414554256744827,
      0.363703740377646,
      0.62414029948068,
      0.387900002141777,
      0.424639989780781,
      0.384388032102953,
      0.290979720202818,
      0.404088435801507,
      0.455025211267726,
      0.593308662421265,
      0.45427705651794,
      0.496785217559794,
      0.463055102143729,
      0.379149113084304,
      0.467950304738711,
      0.597953265640107,
      0.473547344432334,
      0.475490514003186,
      0.588457525063608,
      0.368480666825074,
      0.33274191740367,
      0.534789849883531,
      0.41465647872731,
      0.361123995991111,
      0.407453388646684,
      0.546464858378468,
      0.370984220464685,
      0.289420353433594,
      0.535549867309828,
      0.321180915745155,
      0.399283419890981,
      0.524781988706656,
      0.458449684082728,
      0.271191527533846,
      0.396631979262957,
      0.48674803423002,
      0.240518696946439,
      0.433387291126453,
      0.442020846686003,
      0.558338250093101,
      0.412036244509279,
      0.532401506746827,
      0.480662300124341,
      0.380161622430441,
      0.417896576280542,
      0.499806911263104,
      0.449981560348261,
      0.419658574307918,
      0.588877744105179,
      0.531356420626472,
      0.338606946485418,
      0.429137823236992,
      0.399870526416537,
      0.26759167300865,
      0.438008669679807,
      0.631313654240023,
      0.367838756753902,
      0.37061506511525,
      0.454693038508772,
      0.409956899270055,
      0.315099903229297,
      0.268038641463781,
      0.556384755441342,
      0.358937218286457,
      0.268237281508324,
      0.42422735738538,
      0.487945559396205,
      0.393391329545825,
      0.258675064578114,
      0.42653231577257,
      0.431135267959396,
      0.279478170726924,
      0.345632429922772,
      0.476806237990652,
      0.320635705773978,
      0.238356234127399,
      0.368706657385785,
      0.384221524692937,
      0.289276820248319,
      0.431095858391004,
      0.386175080864079,
      0.353099024175803,
      0.32043321466979,
      0.347398052053317,
      0.402412131021225,
      0.422952507099474,
      0.389242151865781,
      0.490239107590859,
      0.438020350163345,
      0.396264494082032,
      0.422802189148571,
      0.333165492124795,
      0.30635137033608,
      0.539730164953918,
      0.588051971717831,
      0.518294417445625,
      0.474144485376458,
      0.519810341282183,
      0.477474703784782,
      0.515938979953068,
      0.454674511091825,
      0.715819697390659,
      0.581876001668325,
      0.460412349131791,
      0.469341231842055,
      0.498468920408099,
      0.458760702279047,
      0.498844535112119,
      0.645101529911348,
      0.490772739456001,
      0.439088847700752,
      0.485432060704506,
      0.441334644896998,
      0.591003642751955,
      0.346536976724793,
      0.587019690916436,
      0.6688862502596,
      0.500909229777825,
      0.489309338969628,
      0.514907400384768,
      0.508899432841159,
      0.470722137979485,
      0.399727323520328,
      0.577036369362877,
      0.443482231340813,
      0.417569671205734,
      0.504014370668241,
      0.477110564290037,
      0.319674929109926,
      0.382219519557159,
      0.655165811890951,
      0.606511439651363,
      0.458720405451276,
      0.520181590519126,
      0.499675958624459,
      0.548452319254616,
      0.505242677334597,
      0.458480385098831,
      0.476681840449286,
      0.404777768230476,
      0.478927694494667,
      0.44531107020243,
      0.347550982785394,
      0.325895265908095,
      0.69268284474475,
      0.551341201259338,
      0.55234293839393,
      0.602018187173072,
      0.424030645662437,
      0.41971557491917,
      0.486318579093245,
      0.6192985395645,
      0.435589195622729,
      0.444015530060391,
      0.648261858763253,
      0.550845267970355,
      0.28266784549543,
      0.378434792469267,
      0.613054219537884,
      0.362370168488643,
      0.536275300225234,
      0.620844755226974,
      0.46106584374117,
      0.477307109895594,
      0.392587076907995,
      0.514535119877977,
      0.322729930785647,
      0.296893774574554,
      0.500460423112503,
      0.558840309711274,
      0.41499816250293,
      0.38168667582269,
      0.48548120157978,
      0.313021443946673,
      0.425645976439257,
      0.319630949887931,
      0.385629954378995,
      0.412001864134901,
      0.436635273037802,
      0.475530257104177,
      0.503225793798586,
      0.356708444568166,
      0.466842763598445,
      0.570825513879158,
      0.424236726004262,
      0.458735903880765,
      0.462871611371491,
      0.501345794590796,
      0.594787617131251,
      0.490527065553475,
      0.391028618964783,
      0.324257103009508,
      0.430993003919142,
      0.598332180136084,
      0.391038311352638,
      0.307001393975241,
      0.377559195880084,
      0.343698561195033,
      0.507787754500347,
      0.546239414705566,
      0.577832347513177,
      0.361727434607639,
      0.390415458564471,
      0.421135432310914,
      0.334516319917025,
      0.315827112431629,
      0.449123556133948,
      0.583139259143506,
      0.2991160442754,
      0.430764280913828,
      0.430708533986231,
      0.371814295346009,
      0.40878071395521,
      0.494494390794679,
      0.604853786816029,
      0.317757624683336,
      0.381372874446731,
      0.381778104637225,
      0.418071996157984,
      0.323577792727569,
      0.298350971284859,
      0.42418232096696,
      0.416548773629006,
      0.386253980126322,
      0.40491718966297,
      0.361436154541969,
      0.376922954529083,
      0.457987337350875,
      0.290007806369754,
      0.498742798187701,
      0.378708580317276,
      0.26863462433565,
      0.41099980628727,
      0.456175222814524,
      0.472590503670217,
      0.353474238833287,
      0.359091504700046,
      0.402062810260357,
      0.367169501854,
      0.444014832582488,
      0.522970510684946,
      0.337721403916598,
      0.378113004254757,
      0.318535852572499,
      0.391799896139376,
      0.316822641644705,
      0.532958851010692,
      0.473127018468981,
      0.269903213708753,
      0.416125035651789,
      0.355237186831831,
      0.391198784502678,
      0.495100732340822,
      0.634410132709612,
      0.515245435373068,
      0.424943320754474,
      0.489495965697909,
      0.371853247647209,
      0.282960311303915,
      0.402960176177193,
      0.615406572559093,
      0.318393144250337,
      0.409957875922476,
      0.511868776583408,
      0.530684167818531,
      0.524566136507291,
      0.408966970713702,
      0.481971955757488,
      0.482132386056341,
      0.602567567634657,
      0.392747469067567,
      0.76292406574862,
      0.587090893039279,
      0.430151945932175,
      0.458704384560303,
      0.573222165587694,
      0.377323357780707,
      0.442607378080443,
      0.522019274618388,
      0.452118442066861,
      0.516980127063441,
      0.464857274815975,
      0.436350677422617,
      0.451372924070454,
      0.368920030520229,
      0.718585575301243,
      0.602741269518693,
      0.403617744370677,
      0.440614838963162,
      0.533086197693693,
      0.447464556806811,
      0.460826593832817,
      0.524109617978926,
      0.549034951003184,
      0.444269931807257,
      0.495814486180582,
      0.416920891314998,
      0.526200156623829,
      0.397270951037428,
      0.734564677145095,
      0.556127832777596,
      0.422618999077909,
      0.484569950895869,
      0.479985429255726,
      0.426767715408993,
      0.516184317149504,
      0.658135510117009,
      0.52163718757938,
      0.500088164761896,
      0.443238147631892,
      0.482554419058183,
      0.469637401568618,
      0.32136391638823,
      0.625835401851895,
      0.630716582401888,
      0.497296172310396,
      0.470823870120439,
      0.512282819981118,
      0.499738040786623,
      0.315308658416551,
      0.226460370360187,
      0.327641783816437,
      0.283204341804029,
      0.276903668429673,
      0.296095323317983,
      0.237884964458849,
      0.25691252756425,
      0.505425113129305,
      0.484992902865598,
      0.314526510749021,
      0.38298560471037,
      0.158636386696821,
      0.220429038299712,
      0.191113553899571,
      0.284642659232504,
      0.269931189982564,
      0.267590681047229,
      0.289740903332298,
      0.195183604268474,
      0.27638214928505,
      0.363280127013853,
      0.339892877929043,
      0.342186096594356,
      0.398732245642487,
      0.468962145095644,
      0.415437007270331,
      0.429187679184899,
      0.38768000732686,
      0.386881955960225,
      0.395466682953654,
      0.269943031351153,
      0.363578596357572,
      0.589856912387615,
      0.374121750015423,
      0.323757772124157,
      0.418561815092232,
      0.360599352070929,
      0.318154298435755,
      0.386252089377939,
      0.628588653136003,
      0.373447418866025,
      0.320291062383751,
      0.399655137917394,
      0.355342355546787,
      0.248094952063261,
      0.41080576973591,
      0.636831374298817,
      0.345683922443615,
      0.321471252783271,
      0.279271309477309,
      0.396784241914417,
      0.300740882832352,
      0.263854976393464,
      0.510359734250551,
      0.354582185874244,
      0.404933666963254,
      0.449939602379803,
      0.500140167917296,
      0.475819058767539,
      0.489537641047744,
      0.470389083761184,
      0.459376429588229,
      0.514486152124869,
      0.385976974968936,
      0.742466121612146,
      0.627794236536828,
      0.393190240299907,
      0.454892100884058,
      0.52311808582204,
      0.392966151035992,
      0.449512084919761,
      0.509936347094551,
      0.496633175799006,
      0.454207350029545,
      0.492107284896679,
      0.403028030237324,
      0.513959554703292,
      0.427404717118635,
      0.71065250644948,
      0.54807688291156,
      0.387041358761077,
      0.455662603976414,
      0.484587611940776,
      0.437336017233021,
      0.546142905927299,
      0.589773039375636,
      0.509945223193175,
      0.527248302640649,
      0.494853105110061,
      0.496143931588914,
      0.51160752453406,
      0.389187003028121,
      0.680866110387751,
      0.573001104806755,
      0.495396895662826,
      0.461661434978731,
      0.491201968178023,
      0.46422263209176,
      0.485216664457494,
      0.631873174615392,
      0.486513426880236,
      0.434423053357297,
      0.530503828072531,
      0.420130284235795,
      0.61453829733486,
      0.344494587246324,
      0.511652467034329,
      0.669541917233011,
      0.454655653950338,
      0.499344524500311,
      0.527876185911123,
      0.518814587495541,
      0.420349790856658,
      0.373360708950673,
      0.353621366517991,
      0.397654275807584,
      0.326247775053776,
      0.299176052169958,
      0.283658938217626,
      0.342539741889136,
      0.366131243103105,
      0.381834167873966,
      0.398838447060745,
      0.331186543484778,
      0.374208674766903,
      0.202481605103579,
      0.303446633075245,
      0.386223496005606,
      0.370689822416823,
      0,
      0,
      0.271783523191133,
      0.185899477872199,
      0.174317538304664,
      0.174180320334064,
      0.195427867752259,
      0.305855894424627,
      0.298489547793949,
      0.284760063186328,
      0.160264342368898,
      0.179066108069313,
      0.204307036211597,
      0.130931396166346,
      0.186171525717537,
      0.322231397819006,
      0.188961604414645,
      0.211342323868005,
      0.205645637465635,
      0.21110147153599,
      0.163411394615547,
      0.172788810591096,
      0.252099740047764,
      0.130467384370848,
      0.246617804955299,
      0.210626075172101,
      0.196953453148125,
      0.233113098096357,
      0.233953167978953,
      0.396404129360367,
      0.376305812651362,
      0.4327789855372,
      0.432579848071035,
      0.382383508265567,
      0.376397238456716,
      0.413230719124879,
      0.444564196364471,
      0.416186607448958,
      0.594906000460956,
      0.536440021095909,
      0.541892387490193,
      0.39126478372813,
      0.448361456434439,
      0.438675772428972,
      0.476008158954313,
      0.394372112657782,
      0.63422834012566,
      0.37662154123143,
      0.401651231147501,
      0.414377324936866,
      0.319183611856449,
      0.387331290257563,
      0.417170504151156,
      0.620188153642732,
      0.416924434433301,
      0.393961566542587,
      0.320487512677603,
      0.239965847224359,
      0.433438954648212,
      0.361592336258879,
      0.581001319454034,
      0.352910795206833,
      0.411759417429524,
      0.48925914437755,
      0.377957938206654,
      0.37358318433151,
      0.509203322703113,
      0.448901633117533,
      0.46078814567067,
      0.599279659788722,
      0.35654023959986,
      0.320810483838191,
      0.518165666079306,
      0.324048221624706,
      0.355598892957081,
      0.419655294585497,
      0.455733156831193,
      0.285513789167331,
      0.407114144152442,
      0.50140283557137,
      0.308260931875235,
      0.440610719639491,
      0.545379536587613,
      0.41900876204814,
      0.209097328935252,
      0.441577329205162,
      0.542348372065972,
      0.245745473616481,
      0.400681423636028,
      0.373441814335113,
      0.510786632699152,
      0.40531479610732,
      0.569517852646051,
      0.470412539702605,
      0.358217071271369,
      0.436211447673289,
      0.360849401065056,
      0.447204798679013,
      0.407281399438422,
      0.609734508440541,
      0.548552971252549,
      0.360114452250526,
      0.398946239466648,
      0.46598404431077,
      0.23732876193616,
      0.34621332914533,
      0.640880248325206,
      0.354557485026641,
      0.400886476171461,
      0.434917449519559,
      0.380541547833723,
      0.285110171436805,
      0.265785822432498,
      0.555187393038722,
      0.430196200369112,
      0.249815093737493,
      0.374960212112699,
      0.426378289124464,
      0.384734728151219,
      0.214565740679806,
      0.396668231106438,
      0.35883641183607,
      0.26216957288869,
      0.273151070816588,
      0.340948433174067,
      0.343813858384923,
      0.243153486938535,
      0.409325419449089,
      0.346280714026685,
      0.308287645352794,
      0.36556609186141,
      0.321086587756666,
      0.388046483617615,
      0.261532023717774,
      0.308435930178116,
      0.37545695810946,
      0.416728265441831,
      0.36564803340948,
      0.531478027178671,
      0.36668248565291,
      0.417064161907548,
      0.379756517066123,
      0.358899010149691,
      0.284194183123597,
      0.498323433091697,
      0.635449514189625,
      0.527181011346642,
      0.476408948867008,
      0.512461096534665,
      0.431084319369748,
      0.485999968727651,
      0.411899255640686,
      0.681991893110918,
      0.540126901777806,
      0.467974935034558,
      0.469583830399415,
      0.452677682544904,
      0.47633837473267,
      0.471200489195016,
      0.646480846949618,
      0.53085232983843,
      0.446059084666556,
      0.473304551727589,
      0.407265888787763,
      0.536974471050712,
      0.2688136211273,
      0.53357862719757,
      0.64412744679555,
      0.502985214454577,
      0.396622331125313,
      0.513968017271503,
      0.502578541719116,
      0.433188837913149,
      0.349893526865736,
      0.56199445618185,
      0.459478732275633,
      0.425459014307951,
      0.50406547526722,
      0.417702703783654,
      0.260493032793469,
      0.265105072926569,
      0.617722285105351,
      0.559676885233812,
      0.405693176992443,
      0.459019437808284,
      0.524870000308941,
      0.458448402486091,
      0.488503500931819,
      0.380798779871812,
      0.482686905531783,
      0.417926155685743,
      0.515213960752493,
      0.412005851156685,
      0.332030822199438,
      0.340281315499988,
      0.667470469600609,
      0.548756912706771,
      0.545926284832265,
      0.618700022779185,
      0.421597355545399,
      0.395132735894632,
      0.508573330438719,
      0.413254958344909,
      0.342037135359604,
      0.303607194922659,
      0.649094832354659,
      0.527059387125651,
      0.216945573447861,
      0.363606791056633,
      0.594283489607331,
      0.33107848920461,
      0.40981924856289,
      0.621116543332138,
      0.464292874849622,
      0.414226749819571,
      0.360620640553769,
      0.576182257093115,
      0.329696331670065,
      0.256239941899264,
      0.48601785493534,
      0.595138687130578,
      0.533736819759309,
      0.440806121102992,
      0.524438623602567,
      0.301606601510605,
      0.435506908455962,
      0.295741506091136,
      0.364186959699543,
      0.456256994591673,
      0.451233562666086,
      0.422376885581316,
      0.409094307461858,
      0.267943909044483,
      0.439774234319302,
      0.529470854831777,
      0.40364833192651,
      0.318447127626997,
      0.421544523943362,
      0.376924080446509,
      0.453485082270144,
      0.354827170323513,
      0.383607337496336,
      0.309231784640615,
      0.41627582837445,
      0.619388357942589,
      0.415494281208403,
      0.326106867854089,
      0.374422898659238,
      0.323161434785523,
      0.412163155351874,
      0.493697858846876,
      0.613542703756218,
      0.284580919009621,
      0.480102308588116,
      0.470800782607563,
      0.212812992339945,
      0.30445937447688,
      0.453653811829987,
      0.600185783676218,
      0.262477533923674,
      0.322099927734452,
      0.354343865943105,
      0.332335924025532,
      0.389766076683058,
      0.564771206024112,
      0.613579882604874,
      0.271623522325915,
      0.347055603545278,
      0.23524903656727,
      0.343149111794274,
      0.306877604371686,
      0.274201077233509,
      0.410817779350881,
      0.360018117256795,
      0.358668281437994,
      0.298910306450015,
      0.36369603649016,
      0.385140568180337,
      0.437149615267843,
      0.239465613050405,
      0.532597568180602,
      0.335645343440897,
      0.195363757263263,
      0.351076946050607,
      0.426312634788492,
      0.546971978087803,
      0.353231440734923,
      0.3212207670309,
      0.361880029653353,
      0.253640361610469,
      0.462867307447264,
      0.527141041790323,
      0.487437225498279,
      0.379060186315893,
      0.33897600945033,
      0.396878654737139,
      0.235828887582192,
      0.563517628943051,
      0.478054037318285,
      0.259469912434116,
      0.392234435588421,
      0.295389910639472,
      0.384384218159011,
      0.350508587289402,
      0.663655674175382,
      0.492476664937884,
      0.38535064675082,
      0.393095545420918,
      0.356744128900893,
      0.278893317115335,
      0.285251923443348,
      0.62520413214508,
      0.271095995528553,
      0.365851954968962,
      0.457915587953637,
      0.536300299358036,
      0.454603532725371,
      0.410456495749066,
      0.515382215178369,
      0.457786647977363,
      0.54307017822095,
      0.325534344358934,
      0.760742409218495,
      0.563279283550713,
      0.443390995571183,
      0.414450819847535,
      0.561986394908155,
      0.306180867393656,
      0.422618222322979,
      0.49135821293295,
      0.436878625719448,
      0.464078291374925,
      0.440056947793615,
      0.395704429334574,
      0.394469621243182,
      0.296029061800198,
      0.73099222707462,
      0.573983964165858,
      0.382302902541866,
      0.407099906421754,
      0.474244064660494,
      0.42537332496167,
      0.469748082897315,
      0.518460181367603,
      0.569073279487878,
      0.397025929610396,
      0.449923046639847,
      0.424008569912236,
      0.51696658352286,
      0.392867623859468,
      0.730320694657447,
      0.535716136322095,
      0.441026489588937,
      0.457456764990812,
      0.446562713769584,
      0.419308580916944,
      0.506061752790027,
      0.689003691271824,
      0.516477033995039,
      0.515768562982371,
      0.434978882814516,
      0.449518576498901,
      0.414904150770643,
      0.299892784018619,
      0.615596328458994,
      0.598428591278229,
      0.466091225254679,
      0.448509647997443,
      0.470398350842305,
      0.530319735261023,
      0.324677797045973,
      0.162039011521936,
      0.28680255331257,
      0.272681989260551,
      0.239062930860704,
      0.226953456515101,
      0.271441649372572,
      0.283927620626307,
      0.505563192524889,
      0.453780196616013,
      0.332728760030253,
      0.392160931412956,
      0.17280012257464,
      0.177313317816441,
      0.21400002831983,
      0.335573060472835,
      0.296089077917764,
      0.290325964312998,
      0.21961498132047,
      0.192785274290101,
      0.289193819356626,
      0.317316476257917,
      0.397812913881118,
      0.248006807563169,
      0.325337991169174,
      0.512340862646569,
      0.425257832016179,
      0.431899914681108,
      0.285308361323391,
      0.364906686902997,
      0.33781815801305,
      0.256538937837226,
      0.331266671758276,
      0.625653089049128,
      0.340940360460583,
      0.278790152500353,
      0.386683693965697,
      0.334151235549949,
      0.218439830682653,
      0.336084133884282,
      0.629663560471849,
      0.371451238033941,
      0.267022766750755,
      0.410032283187908,
      0.328452439401023,
      0.240904897750917,
      0.287583038760057,
      0.644533701744414,
      0.344994118269441,
      0.261713059452222,
      0.271125781178369,
      0.387895223006787,
      0.246287091825469,
      0.244683121881781,
      0.48881714426814,
      0.3493666065568,
      0.334308074019852,
      0.435981278899676,
      0.509674825060277,
      0.452108887473332,
      0.426030370854852,
      0.42597077258767,
      0.409212237995278,
      0.454748296808695,
      0.314795725422899,
      0.749335176133324,
      0.599203611819114,
      0.379189645913176,
      0.405934442391576,
      0.523685241548196,
      0.345938154992692,
      0.461654826579766,
      0.472970459668609,
      0.497118464971108,
      0.409083201590267,
      0.455895133525308,
      0.402147935792915,
      0.480805615476588,
      0.451439066018824,
      0.726691131938361,
      0.528069946913717,
      0.408322150896256,
      0.401725222366897,
      0.453797079315257,
      0.455377431028283,
      0.487594314165861,
      0.608681373813174,
      0.498985026129632,
      0.529239561403172,
      0.455859557881365,
      0.462313632273886,
      0.452467499849028,
      0.33336764941721,
      0.644812753045016,
      0.522401910470075,
      0.456238024386376,
      0.468677212263989,
      0.473160338221027,
      0.491600299198448,
      0.44690654913503,
      0.63723650080561,
      0.522750130902654,
      0.431651042696391,
      0.532600921800101,
      0.396097763177479,
      0.552104828661345,
      0.252793469432537,
      0.448402273478798,
      0.642678287219834,
      0.447266479037178,
      0.397659204324468,
      0.524337053056911,
      0.539738361165382,
      0.350404372207711,
      0.279009631278296,
      0.244642645556198,
      0.223973745483051,
      0.203527295920803,
      0.272102352008567,
      0.213920528363847,
      0.240073078354173,
      0.232692770038318,
      0.253496364819695,
      0.325618415624928,
      0.289810215341857,
      0.409032182823163,
      0.261607249941675,
      0.220823737412275,
      0.232087951898355,
      0.298653285025184,
      0,
      0,
      0.214211388970579,
      0.147079761306995,
      0.154950142956868,
      0.162038734694462,
      0.160543338753752,
      0.187148280003971,
      0.250110913910654,
      0.183227274142673,
      0.150945131244474,
      0.139350192764067,
      0.161752970939847,
      0.144501565823791,
      0.165034028285026,
      0.295415974165482,
      0.205476600329387,
      0.232630207746098,
      0.183933123925985,
      0.193375647588444,
      0.148674455119148,
      0.174271315694396,
      0.244839556910703,
      0.117771470556382,
      0.267553252739956,
      0.19369511796777,
      0.189062216286313,
      0.234343074164005,
      0.202332691853398,
      0.412117328821813,
      0.384739988408554,
      0.49151019180156,
      0.400518475930631,
      0.428588585199989,
      0.399242691793184,
      0.414396761524932,
      0.459699460054677,
      0.360273442918504,
      0.43594442462532,
      0.50407564027253,
      0.386624572672966,
      0.347365262208039,
      0.459069844653453,
      0.472728760398994,
      0.45113943743003,
      0.484164617376569,
      0.575686105778605,
      0.363210567577005,
      0.370460332323152,
      0.420337992704622,
      0.33153982933204,
      0.322534817183633,
      0.418229484425548,
      0.604302770608092,
      0.229358032987046,
      0.292530370182917,
      0.379928411878025,
      0.278196977415497,
      0.410259189083039,
      0.464552437292644,
      0.557380622409289,
      0.38275221589482,
      0.465105664833402,
      0.477567147033521,
      0.414339641541668,
      0.34068039910784,
      0.379980038047935,
      0.421703580063197,
      0.418844171453847,
      0.351508302285826,
      0.271298131300749,
      0.291626327661858,
      0.434345601245553,
      0.42198694950915,
      0.403487519798387,
      0.444446616431526,
      0.438840567284911,
      0.357894595009983,
      0.405514275388645,
      0.476932143149236,
      0.262248871911302,
      0.263399859946398,
      0.314968428276941,
      0.435062520330221,
      0.183681215925286,
      0.425056621899441,
      0.537141178095878,
      0.265802050703171,
      0.32549178390106,
      0.396662708226087,
      0.502008997686978,
      0.413230110410605,
      0.541244192808254,
      0.499119562797258,
      0.368946822656873,
      0.410918074985184,
      0.396015195122512,
      0.40917569695954,
      0.356051101697038,
      0.587440547068731,
      0.584251650319735,
      0.274454639714231,
      0.44876171364045,
      0.362127944771371,
      0.266337966254032,
      0.353164582593766,
      0.596106585668025,
      0.293240283537377,
      0.387539517792517,
      0.44235782302218,
      0.386836303270296,
      0.256448812760376,
      0.356286114364347,
      0.53630196312184,
      0.427583566826875,
      0.248605354674034,
      0.383914418096072,
      0.42006475635429,
      0.413757006830174,
      0.245475058263605,
      0.434363587011464,
      0.459404997769211,
      0.294362178337398,
      0.301711658926142,
      0.379506370888754,
      0.363831901980828,
      0.220587391517056,
      0.398385677553029,
      0.41237675457467,
      0.323386970464621,
      0.328693873093583,
      0.322697500927765,
      0.3898240991943,
      0.181266480631361,
      0.309752542645065,
      0.364551326029275,
      0.441479744922703,
      0.367675652608914,
      0.512437779037167,
      0.40364214871896,
      0.431118437231556,
      0.373210861826929,
      0.313123318096901,
      0.274079204479846,
      0.475492690973363,
      0.596027929945544,
      0.47907744873197,
      0.423982238825621,
      0.489452933719935,
      0.420480606678258,
      0.459678633839971,
      0.452686712144856,
      0.637473385256723,
      0.385465952992592,
      0.473510990676825,
      0.463628061054598,
      0.46120344445662,
      0.451757589807651,
      0.406274590299953,
      0.596727085971856,
      0.531421485704064,
      0.412202925450978,
      0.4279169234106,
      0.439005287718039,
      0.450006268609911,
      0.263029345397223,
      0.539351034806175,
      0.525307904778247,
      0.467279301240359,
      0.350278501495807,
      0.483935190460323,
      0.522650815989427,
      0.454966660404507,
      0.348832318022514,
      0.575401900780448,
      0.458668571182726,
      0.430077276023096,
      0.427002000248178,
      0.444359248846006,
      0.337341164202607,
      0.277407827003107,
      0.567437397212005,
      0.511002982026973,
      0.445441422496933,
      0.46353609297509,
      0.558871366095573,
      0.455677873695027,
      0.484265870712077,
      0.383673579098863,
      0.510646348031221,
      0.412532251699162,
      0.483597225741511,
      0.39900071132227,
      0.328402723304342,
      0.369035724598772,
      0.58755028528644,
      0.570650247245872,
      0.522742386586233,
      0.603787475378875,
      0.413390146514896,
      0.415976820776818,
      0.52655648085375,
      0.416005833256228,
      0.363504139346518,
      0.441320251060938,
      0.604688737597888,
      0.51133591089955,
      0.245941361669669,
      0.405568607194687,
      0.356875871676093,
      0.233716777778945,
      0.472611211821921,
      0.582662252095546,
      0.501550003663069,
      0.272300091293505,
      0.302583200384711,
      0.574150221339169,
      0.280186865648088,
      0.312921738123721,
      0.471285764269064,
      0.625096805056441,
      0.369809518969591,
      0.31431850371341,
      0.42705571591712,
      0.273289318955196,
      0.428201444241964,
      0.286504401171386,
      0.442837271351584,
      0.421863472162075,
      0.413216480049969,
      0.391376251675244,
      0.412317653593347,
      0.356223879735441,
      0.34645279195797,
      0.542702254273526,
      0.350178418190091,
      0.320450061392441,
      0.36216080373581,
      0.369743742937486,
      0.43970255629622,
      0.357451567672902,
      0.347206021305408,
      0.384003023354773,
      0.390708777962648,
      0.538083715456637,
      0.376820261755088,
      0.374717062269275,
      0.419410705129714,
      0.353029840025874,
      0.540503925753704,
      0.486408884310744,
      0.624393134785687,
      0.239776271907863,
      0.402262864973452,
      0.489185876215212,
      0.336216629040219,
      0.300018270236713,
      0.399185764847908,
      0.578740001329103,
      0.224922395363189,
      0.283293587852686,
      0.417317313276059,
      0.327586080180667,
      0.402515999848794,
      0.362158011634662,
      0.577006968213723,
      0.268260488673407,
      0.303591884977872,
      0.343777624980627,
      0.353413688579572,
      0.317819744668636,
      0.26947440605041,
      0.410585829329973,
      0.386392032596199,
      0.315530612826732,
      0.326493707897929,
      0.382529015403246,
      0.401629056458456,
      0.334289991564365,
      0.258490376104576,
      0.529623465594534,
      0.367749946547744,
      0.194079464424454,
      0.320470744152592,
      0.443397904996233,
      0.514949348015449,
      0.332903851810754,
      0.323758322349256,
      0.403188854948795,
      0.358569294778685,
      0.431879336037508,
      0.512529762525546,
      0.475946356121788,
      0.333936539557074,
      0.277016913318188,
      0.364665553085251,
      0.243396748374346,
      0.548204702701387,
      0.418618406647664,
      0.343961616467558,
      0.346278965841406,
      0.294946846838518,
      0.295526342392616,
      0.445624912451205,
      0.616301961438048,
      0.408879626494369,
      0.269620790967934,
      0.441415894730549,
      0.306019901842398,
      0.250344266067427,
      0.327997069468692,
      0.588554670356607,
      0.269830020824768,
      0.347445753444631,
      0.453359269046727,
      0.515290810409835,
      0.453558144373587,
      0.38959556155181,
      0.493845010343254,
      0.502207582281508,
      0.557143357968647,
      0.358871809544408,
      0.478180090245396,
      0.459787706564021,
      0.440210887588259,
      0.438857336727718,
      0.504466016935075,
      0.322685241415655,
      0.423576461899824,
      0.482527732105525,
      0.447805791288961,
      0.501943380264167,
      0.424003622498674,
      0.447849267054234,
      0.41728765534647,
      0.322939264630189,
      0.511301825329559,
      0.432695470864386,
      0.418613603692706,
      0.379868288988811,
      0.45944380464541,
      0.389502650067663,
      0.441408316026969,
      0.448210056886437,
      0.515042488716413,
      0.405507878751179,
      0.452345826659562,
      0.400708299552392,
      0.552053536467668,
      0.4471909892205,
      0.646720321570321,
      0.372940492345933,
      0.376515945704607,
      0.467079705673268,
      0.405925878225314,
      0.41776245413857,
      0.477097107793653,
      0.636078545182067,
      0.52166223848179,
      0.455349662510661,
      0.440056042061493,
      0.423296900314775,
      0.382148667797272,
      0.27251645451145,
      0.598401031805399,
      0.475860881431018,
      0.479831725642673,
      0.402319403324892,
      0.452209264308557,
      0.544653230692522,
      0.232016484907688,
      0.103204483767928,
      0.261651279741887,
      0.274993580369904,
      0.291126560446465,
      0.258189478853011,
      0.229400495439996,
      0.304209719883019,
      0.468278917440993,
      0.35571673465058,
      0.376052765554101,
      0.370545481220592,
      0.1573585379654,
      0.16442840704004,
      0.202883844524781,
      0.353697529007259,
      0.339517020382046,
      0.302220266671965,
      0.27497083252824,
      0.19348433376203,
      0.341416024724253,
      0.275809650939928,
      0.402478450937419,
      0.205558683475636,
      0.283165629222962,
      0.488778982964747,
      0.423206565889883,
      0.451853235947877,
      0.30915834646924,
      0.363232331302223,
      0.325208094502132,
      0.308714018473727,
      0.41405429381341,
      0.589484966682165,
      0.349743696504898,
      0.284541506563641,
      0.422028267575639,
      0.308844790294996,
      0.226199049908729,
      0.291832998421384,
      0.595887788386643,
      0.340329616699949,
      0.256671940319095,
      0.461581885285115,
      0.302093105671763,
      0.212174445024623,
      0.221782550642172,
      0.592963862449328,
      0.391088246454672,
      0.252227671667414,
      0.321675749794482,
      0.42587852348599,
      0.188518566406972,
      0.252513882869022,
      0.479683421970159,
      0.459078104768872,
      0.311780808393313,
      0.439430376377295,
      0.483085937404847,
      0.47063789764085,
      0.399412324610487,
      0.408082888909531,
      0.49839567631205,
      0.498504888219733,
      0.285033319679344,
      0.514136519478583,
      0.471629116410351,
      0.397289813629658,
      0.418264835637718,
      0.484557783846685,
      0.343514836624206,
      0.43702724929228,
      0.454920280832852,
      0.484641340216102,
      0.441868780333502,
      0.454054725474891,
      0.392070624032758,
      0.516526597862976,
      0.462699713650135,
      0.579942030454124,
      0.327480070031353,
      0.368031879430591,
      0.437248425079104,
      0.393750808233112,
      0.413410213193817,
      0.478506101937725,
      0.587628366591453,
      0.477589647314097,
      0.485380850853333,
      0.509134947797342,
      0.449681924264798,
      0.425464269762487,
      0.380702771443233,
      0.606951453711881,
      0.386410294633916,
      0.470916071289822,
      0.430497200921667,
      0.451543688871069,
      0.474790836669868,
      0.383494687736035,
      0.621227831310561,
      0.53524948084437,
      0.420876314004426,
      0.511525943268572,
      0.450315201482714,
      0.479502506168614,
      0.250741366526466,
      0.437346807731475,
      0.573838253338737,
      0.413867144382607,
      0.382241082178365,
      0.496916430432608,
      0.537408521657444,
      0.373332930235033,
      0.348569877259377,
      0.34318358383461,
      0.335471448060062,
      0.316340918988332,
      0.304123669655857,
      0.330456072512316,
      0.36312506039139,
      0.316013173105928,
      0.283704746474824,
      0.341456275946755,
      0.332905111829495,
      0.361363723164966,
      0.25835351533467,
      0.22146661493062,
      0.201335615929885,
      0.328660371829258,
      0,
      0,
      0.306897976776508,
      0.190122906996879,
      0.185201417542624,
      0.156879113230847,
      0.154246394532465,
      0.249199965349588,
      0.295238100215699,
      0.285078499591337,
      0.243067149167139,
      0.184552564759657,
      0.221858404242253,
      0.194859633906414,
      0.214880357933436,
      0.26828897881246,
      0.0981854705613428,
      0.228217537959233,
      0.160717021405367,
      0.0955955139089304,
      0.173618068026888,
      0.16928690907267,
      0.255272977663076,
      0.160729932082643,
      0.207202706541972,
      0.194178084687061,
      0.167574297070947,
      0.159785134594227,
      0.20048431506312,
      0.428488359049741,
      0.342977675606,
      0.471890016536678,
      0.41952750050376,
      0.423972563730579,
      0.403433004265784,
      0.377340556276544,
      0.462346758774846,
      0.395248555020539,
      0.465269124935942,
      0.522918453276178,
      0.290136037954083,
      0.368445514577056,
      0.437304867232404,
      0.431120348618234,
      0.436133387901438,
      0.497414726644447,
      0.627053461131473,
      0.352018644823947,
      0.384888861779441,
      0.510158890705709,
      0.331266647642424,
      0.296771469923079,
      0.424382789133035,
      0.604432515079677,
      0.167266451339417,
      0.309843772243451,
      0.486799853709426,
      0.29840644633093,
      0.365174636601134,
      0.404944145560861,
      0.57084980662458,
      0.353574758279316,
      0.355666053224173,
      0.443747376931065,
      0.417594684472812,
      0.325314414245847,
      0.33296037502382,
      0.416695028136153,
      0.431457382272125,
      0.336442010184607,
      0.205531872287743,
      0.327228400106583,
      0.395264668253122,
      0.377329824759457,
      0.424252671949941,
      0.444459938613303,
      0.43143285135863,
      0.262131098260245,
      0.313581901320337,
      0.432315154677833,
      0.247526697871033,
      0.242214183202825,
      0.249859005776721,
      0.480201327399156,
      0.197696021962002,
      0.460120307645557,
      0.544341794920374,
      0.266930817316433,
      0.342144343715896,
      0.373269020453324,
      0.484377093293969,
      0.430019780646552,
      0.54500601748638,
      0.501121784615514,
      0.33960391907244,
      0.423998950701091,
      0.419642808523102,
      0.381052550581021,
      0.37902078304509,
      0.61955636673599,
      0.628474601350287,
      0.364531668318735,
      0.503652883532731,
      0.366156942802927,
      0.249255345970262,
      0.363998427609949,
      0.580076278826801,
      0.333959986724501,
      0.280785904363537,
      0.462849341133075,
      0.426552335371373,
      0.211392221842183,
      0.213076455251645,
      0.555251721645625,
      0.441303902668458,
      0.222207207160109,
      0.350683412137086,
      0.440424378193222,
      0.409355631319376,
      0.178571342284783,
      0.433916300314237,
      0.531374517801955,
      0.316387364703017,
      0.292928866967181,
      0.354619373565246,
      0.347550167256601,
      0.140692821359188,
      0.405640798969651,
      0.484346369874894,
      0.364164975926177,
      0.33610286043446,
      0.333779706881053,
      0.384189364336075,
      0.156751075581984,
      0.336300925643227,
      0.293198087091516,
      0.484726514102808,
      0.397606650551422,
      0.54187366453209,
      0.322584618632586,
      0.390524731475308,
      0.298909878255143,
      0.257280375117457,
      0.285875624258713,
      0.49040255154314,
      0.604555468904189,
      0.502647490549039,
      0.426938430222635,
      0.504254595251446,
      0.372366937036078,
      0.508782142548753,
      0.484283898709695,
      0.63093736380353,
      0.417535781522364,
      0.381431919453279,
      0.510566137360013,
      0.421895392337392,
      0.424714492022334,
      0.356620589194838,
      0.604092713604,
      0.488998626806673,
      0.426483080045959,
      0.47193189423087,
      0.422422971096489,
      0.496784551449506,
      0.242349309085709,
      0.53823279376418,
      0.587926329034084,
      0.417295684546055,
      0.337248691019075,
      0.490787625429648,
      0.499041694662414,
      0.389875269324861,
      0.340213516858011,
      0.555319078713447,
      0.443787290899899,
      0.450187503441845,
      0.495760872304541,
      0.471423607483233,
      0.216798553767802,
      0.252552482162727,
      0.601416989865148,
      0.544220341613935,
      0.385400462457745,
      0.436837008641541,
      0.542646762252194,
      0.428149588361284,
      0.396694076445071,
      0.381069913957218,
      0.465183258880997,
      0.427408583680395,
      0.498924231965012,
      0.395669927606482,
      0.304187054851402,
      0.383370524978987,
      0.603188584420233,
      0.584579163120579,
      0.532927750646142,
      0.603076220141438,
      0.405712048111732,
      0.389387597829259,
      0.526544880225868,
      0.387113820055914,
      0.229310517936949,
      0.438299410888096,
      0.596282721867541,
      0.446075384925711,
      0.260049774334576,
      0.476116519243223,
      0.359918322202373,
      0.207171833585491,
      0.326085270467818,
      0.562493536470725,
      0.459736664876363,
      0.209758423474958,
      0.326318135256191,
      0.511040960812184,
      0.281389830413624,
      0.25950309281796,
      0.452867148215559,
      0.613800482016211,
      0.253889230874884,
      0.187859474654813,
      0.398243973894143,
      0.280617041308383,
      0.381745405986856,
      0.285055821526354,
      0.50321859373819,
      0.413837803864648,
      0.338549606052072,
      0.344559916507974,
      0.44152485079817,
      0.269430351092468,
      0.261482656078713,
      0.542702560446764,
      0.36692109948396,
      0.324258747115201,
      0.40330191320858,
      0.33209868239922,
      0.415069272685961,
      0.252320039443836,
      0.282691805128705,
      0.345814507647157,
      0.41753948815711,
      0.547465327322472,
      0.389387877765753,
      0.331571895785971,
      0.409508119170351,
      0.310861173418805,
      0.362674076969753,
      0.495839723299602,
      0.611402341677418,
      0.225147233158085,
      0.279843017888522,
      0.493270579618449,
      0.280557976027985,
      0.257245517449503,
      0.396364404905139,
      0.609170019574655,
      0.248004260412412,
      0.326507798434049,
      0.490892661321503,
      0.360332055419835,
      0.396791276597059,
      0.295694960200837,
      0.579816306139794,
      0.321086022731469,
      0.304012127608214,
      0.257694332367437,
      0.383936704005352,
      0.366573006103633,
      0.187170850946939,
      0.409505847537604,
      0.421198681352638,
      0.299966337375783,
      0.261571420836505,
      0.41849755624325,
      0.441585561640771,
      0.274713824989736,
      0.215673331779549,
      0.527423446058117,
      0.41506878074802,
      0.196317844005041,
      0.324008710204203,
      0.507340087610844,
      0.260326831973498,
      0.193865451150552,
      0.312731574919029,
      0.445049730200288,
      0.309918208726811,
      0.475498110527443,
      0.492734485997235,
      0.276031062787593,
      0.293836945674393,
      0.211231419457664,
      0.400124185051964,
      0.2745831697974,
      0.577905254072451,
      0.362683999210857,
      0.250706469443303,
      0.410788001975016,
      0.277306600664663,
      0.181848035898251,
      0.480777166852044,
      0.614594185613945,
      0.383829443664579,
      0.392010890459022,
      0.519876710244833,
      0.316477575822432,
      0.257545640894017,
      0.354075888230414,
      0.598482144165033,
      0.322400160099805,
      0.369966758010967,
      0.465912686372494,
      0.49469957083725,
      0.394634102135077,
      0.320344010104854,
      0.48694962763883,
      0.516913781888162,
      0.513067855481408,
      0.321966065347664,
      0.47041691851282,
      0.417963447675969,
      0.470017502102284,
      0.414313627536521,
      0.532660292436289,
      0.328228170170517,
      0.383136643607878,
      0.474283696888065,
      0.438567156384147,
      0.393475197459794,
      0.379451760259618,
      0.503000542884362,
      0.464020729770065,
      0.322668236080518,
      0.518735641977522,
      0.468943113785432,
      0.375642049439074,
      0.388593525007475,
      0.399368982769954,
      0.341741654958245,
      0.401306314849789,
      0.495943489553456,
      0.525088642478076,
      0.404785913727221,
      0.405354491406846,
      0.371063464529367,
      0.578977187520199,
      0.481786011720569,
      0.671403627473031,
      0.380281619196329,
      0.368276422287729,
      0.487211415100765,
      0.424197488400382,
      0.401390629565177,
      0.501183984631576,
      0.641060807213026,
      0.506164428728442,
      0.50994474625142,
      0.504888596451432,
      0.405017042066247,
      0.400586075000147,
      0.256745740559508,
      0.590472788795769,
      0.475844305996493,
      0.365601338300589,
      0.452965153496074,
      0.492485724472221,
      0.506549082989182,
      0.193993576000293,
      0.188365088822229,
      0.264848416489485,
      0.244527114156782,
      0.39412691722646,
      0.279926272662238,
      0.249342661480878,
      0.23885911586563,
      0.560870969417013,
      0.300859673417577,
      0.420926722351959,
      0.405771804893816,
      0.200204801904374,
      0.207933871722395,
      0.207702144122758,
      0.368272170406911,
      0.379866073272101,
      0.290305699300999,
      0.299555446070817,
      0.183059084687265,
      0.316355199245153,
      0.238972633326529,
      0.449995170570296,
      0.226237475917532,
      0.240922800897838,
      0.493816501722758,
      0.389786145194165,
      0.422447397563812,
      0.338923210960314,
      0.39441244563809,
      0.305094192142178,
      0.315808602482598,
      0.458927843824742,
      0.605654638709158,
      0.309445914713867,
      0.298819778870745,
      0.484160113933451,
      0.275775914430534,
      0.190621171649774,
      0.28659202476205,
      0.565153687069359,
      0.349719055663744,
      0.301910588645055,
      0.496909457181434,
      0.373613713696586,
      0.241340746718897,
      0.229186167977297,
      0.600760599972362,
      0.406740392737246,
      0.268073883917192,
      0.352044006671338,
      0.437824399398967,
      0.23556983294879,
      0.241761277864909,
      0.478658393791865,
      0.508770722614068,
      0.313834014750627,
      0.372751469108942,
      0.506958726359183,
      0.481989040687978,
      0.383107356438158,
      0.382792792749171,
      0.538621119196467,
      0.528485055678922,
      0.31635169895273,
      0.48650972020042,
      0.482680345841095,
      0.363310593887072,
      0.393533191850337,
      0.460891561946621,
      0.343541969355573,
      0.388912005253324,
      0.452444408286185,
      0.494749538692392,
      0.403079525406992,
      0.396379942364656,
      0.331425436133322,
      0.573240565575266,
      0.462248578869266,
      0.623705952908115,
      0.368383276818035,
      0.361176444685566,
      0.415557114152615,
      0.441648567091195,
      0.383525181734962,
      0.491002878214485,
      0.62643078299883,
      0.504610873419138,
      0.509390824696114,
      0.531038868237478,
      0.402953073458643,
      0.47121666574963,
      0.426673388416068,
      0.605240660795681,
      0.413202736027625,
      0.380248073284783,
      0.485008993353487,
      0.449608097712895,
      0.459984285437487,
      0.347910778428726,
      0.614074974903485,
      0.511468404921758,
      0.428344357971709,
      0.526606834814494,
      0.443618321504866,
      0.494454947422057,
      0.24411964966927,
      0.446974365439459,
      0.601800431431172,
      0.383787555805209,
      0.339719300353318,
      0.484265283978645,
      0.526883578125234,
      0.276285032602568,
      0.218736390037028,
      0.214005951926932,
      0.153769118802284,
      0.173757807042262,
      0.276021294698082,
      0.1772669294668,
      0.186643010298421,
      0.238348815709544,
      0.193938105009637,
      0.227933332668695,
      0.242205303006864,
      0.416729635067383,
      0.180057766345008,
      0.230289233360297,
      0.171657509256618,
      0.297679816755964,
      0,
      0,
      0.199431253693054,
      0.154560354090895,
      0.160181939483205,
      0.135547600926798,
      0.171154461391525,
      0.219395057774003,
      0.241757483155426,
      0.217612022309661,
      0.162589044785052,
      0.139692443643048,
      0.129396183043542,
      0.119356790763501,
      0.168266205822328,
      0.284613441433176,
      0.136367964594295,
      0.255399983137531,
      0.149361543779979,
      0.159158201092495,
      0.182887629229872,
      0.18376599806032,
      0.286752495027795,
      0.164434479255716,
      0.223624010614818,
      0.225564407612614,
      0.190056801748346,
      0.160735871442787,
      0.185606490600671,
      0.419534151104766,
      0.379234296928045,
      0.370128234862801,
      0.393701188021224,
      0.36941027690316,
      0.276976582786552,
      0.323941776165835,
      0.465352789672653,
      0.41959626206694,
      0.442606992271627,
      0.511239698117387,
      0.234473083585326,
      0.342135901972898,
      0.409364144333311,
      0.351873027593175,
      0.439805909917585,
      0.460705273985867,
      0.617501793047777,
      0.328897919880281,
      0.372837389867146,
      0.485753847590663,
      0.319034927074117,
      0.32033369293425,
      0.390158464957195,
      0.616192600668177,
      0.212890813128824,
      0.282636907239796,
      0.447712191481355,
      0.307836300963671,
      0.413082455048177,
      0.326038465865186,
      0.54255807156543,
      0.346177351642716,
      0.278642124470246,
      0.386946070608302,
      0.398080321636348,
      0.303911634465594,
      0.279685335337115,
      0.373590959702257,
      0.45273988955323,
      0.356072718299156,
      0.181915314738358,
      0.310442961142836,
      0.39914291243702,
      0.205937672070585,
      0.426927318652886,
      0.385531323568386,
      0.44408340127623,
      0.2670509505548,
      0.303828688702516,
      0.415093884692602,
      0.255452156462997,
      0.225880140175286,
      0.294143756991009,
      0.469135260779865,
      0.177911053423342,
      0.445217602169716,
      0.526418677034957,
      0.284166286918084,
      0.343629799240932,
      0.410876100220578,
      0.417848901129762,
      0.422542070485889,
      0.568068439073603,
      0.422849012767413,
      0.317076070859392,
      0.423310684746503,
      0.410586160045222,
      0.356432466147056,
      0.346349961265078,
      0.601163363195453,
      0.633405423887369,
      0.352613703133404,
      0.474768873674716,
      0.389163632920877,
      0.204755239512473,
      0.332765828146042,
      0.599698427452072,
      0.356566388252913,
      0.242700558476156,
      0.428799306529508,
      0.425209628299629,
      0.26646123631849,
      0.167879543414426,
      0.559723592650702,
      0.473135011691557,
      0.230856755732985,
      0.350283600037396,
      0.392871739623731,
      0.421949454185028,
      0.168896253548211,
      0.454083161342505,
      0.518366630131651,
      0.29873544023171,
      0.298334661394599,
      0.322950325977542,
      0.359771907629698,
      0.167602062912063,
      0.41788904928504,
      0.425342579629306,
      0.326050928855752,
      0.369795660851941,
      0.367081076901473,
      0.358534983104578,
      0.140147596789347,
      0.346393877108441,
      0.371226372009685,
      0.463368020366133,
      0.37525193805805,
      0.540852677716719,
      0.371154937490293,
      0.397219448632133,
      0.339904332727883,
      0.215586118898075,
      0.287609672088722,
      0.481044082960874,
      0.584722945444678,
      0.522041045448856,
      0.444666623553363,
      0.485286710721874,
      0.361443755474614,
      0.555705853025766,
      0.435343199950223,
      0.629970955439102,
      0.398725636601517,
      0.416277781825663,
      0.491104099581199,
      0.416721987198085,
      0.398643827788244,
      0.373036664644185,
      0.591629693650989,
      0.531864734839628,
      0.432913718410671,
      0.499086093521311,
      0.449328420362436,
      0.556120239496887,
      0.254648397585233,
      0.536075360020747,
      0.530272125763057,
      0.438053767773445,
      0.300489255129195,
      0.46214381099064,
      0.483381505323935,
      0.398733788482047,
      0.326381494464443,
      0.577916576474041,
      0.502206863841181,
      0.418446328274582,
      0.513716420773586,
      0.42426104390814,
      0.231053770663015,
      0.240222785950353,
      0.592223537906857,
      0.505015070412377,
      0.426112474401956,
      0.423559902203304,
      0.486542776116206,
      0.406565622099214,
      0.433944049631302,
      0.391575142106255,
      0.428989454296353,
      0.473389427291703,
      0.511359836653403,
      0.391516886768844,
      0.306213987961001,
      0.402392199210445,
      0.606859400633139,
      0.578409234481665,
      0.536391696979642,
      0.620705841741763,
      0.37139457624793,
      0.36330507994988,
      0.500281982465407,
      0.42597984810254,
      0.27011060218319,
      0.394132841372557,
      0.57655217961575,
      0.428870794927711,
      0.239153999282587,
      0.44738215063808,
      0.370757418830229,
      0.194885796022975,
      0.296812881652296,
      0.561001026104655,
      0.422845308994859,
      0.232359560817318,
      0.33281917726845,
      0.416563317697226,
      0.232279480203983,
      0.334157975763983,
      0.484214295227678,
      0.512507966508631,
      0.245276281065845,
      0.191073531778659,
      0.384517557914886,
      0.317223097693466,
      0.406683316739544,
      0.293939863730048,
      0.480770416704812,
      0.377637307974333,
      0.351436395792905,
      0.391548695439731,
      0.406331350107452,
      0.20444931016372,
      0.274380242151026,
      0.488490912673172,
      0.384510984729585,
      0.315322311062443,
      0.381371848746461,
      0.310421215061764,
      0.372967370620166,
      0.266070826175329,
      0.243928929670401,
      0.335806266990281,
      0.431683024798284,
      0.539816169808719,
      0.330341074480942,
      0.338152266472809,
      0.37269490754678,
      0.3163314078214,
      0.319369298806028,
      0.478764020008051,
      0.588692266844882,
      0.285478444084612,
      0.261355274814029,
      0.508159592583204,
      0.223122250445416,
      0.304800216265114,
      0.385374142182504,
      0.594875890991819,
      0.262675916156839,
      0.281613745269501,
      0.45161859844072,
      0.375176010154065,
      0.371861617313536,
      0.357447307162367,
      0.573100158386431,
      0.349305383523823,
      0.300763773199812,
      0.350183502594368,
      0.405789579923166,
      0.346094025250424,
      0.230363706061892,
      0.416762673126109,
      0.429302384779107,
      0.262138549372428,
      0.331666294635542,
      0.413032081334622,
      0.445925716087979,
      0.268410641791041,
      0.221412180493914,
      0.542960169708831,
      0.441638232862689,
      0.258007101311645,
      0.316989563767513,
      0.516134513750728,
      0.300328985281628,
      0.268078042980424,
      0.353791064410025,
      0.423725643314231,
      0.359407252914623,
      0.423672922622118,
      0.477953568692601,
      0.263218887413499,
      0.292505780122344,
      0.216969305804247,
      0.401623491652386,
      0.28196639527322,
      0.565857147005239,
      0.372298995568243,
      0.250705394033082,
      0.446110810444308,
      0.322731964687707,
      0.206678133978553,
      0.419099837498009,
      0.59586911326206,
      0.381147054906661,
      0.286008194673529,
      0.51767009657994,
      0.351545235771197,
      0.244843493073157,
      0.325491202854582,
      0.616849312520325,
      0.34667841418866,
      0.367017912712842,
      0.441212817386397,
      0.439741185769694,
      0.37964709453089,
      0.335738294286006,
      0.514315615496404,
      0.512535437275375,
      0.586341713063961,
      0.310647768415651,
      0.44476740609729,
      0.416893231176648,
      0.402084326776873,
      0.367076275267578,
      0.557006352037288,
      0.388889917086242,
      0.335036360512049,
      0.400679619940913,
      0.453935241363784,
      0.404899351178903,
      0.370361172052591,
      0.498568419478132,
      0.499494583759508,
      0.310773464181649,
      0.467030789061947,
      0.461211442911578,
      0.409317288320453,
      0.371377143761577,
      0.355168767595107,
      0.335561142136715,
      0.378064829074716,
      0.491517173305151,
      0.523676298782884,
      0.428380919872955,
      0.400007001727514,
      0.365761921318843,
      0.592162767572107,
      0.473847422061083,
      0.617798769748024,
      0.392177442538333,
      0.367210514809865,
      0.512581425402445,
      0.41496247735044,
      0.392235618534998,
      0.45432592194228,
      0.622175296503614,
      0.491508120198557,
      0.504805369422328,
      0.478709166370285,
      0.407609322452259,
      0.427041392065598,
      0.245761770588971,
      0.599614495474296,
      0.463227180926988,
      0.41578335048337,
      0.42438417182963,
      0.468177720810302,
      0.480056483875989,
      0.190929833990823,
      0.174249968805503,
      0.235506051360472,
      0.211106608120212,
      0.404879760723867,
      0.287166037944984,
      0.246501423895325,
      0.14289883455082,
      0.537492618748427,
      0.271260653400562,
      0.413565228640493,
      0.385762606801898,
      0.171630574117341,
      0.18322835251689,
      0.215926060946551,
      0.377401287846616,
      0.381066542877737,
      0.242538704171131,
      0.324664283482017,
      0.201541153044939,
      0.218076717000821,
      0.311234319551091,
      0.347015255755511,
      0.24822027014381,
      0.211772673927854,
      0.503097796023951,
      0.381358006560718,
      0.395539620196074,
      0.317721713593337,
      0.379150238833543,
      0.250084741998386,
      0.310767827976214,
      0.447867339769751,
      0.581944759877599,
      0.337378947985228,
      0.293338358693124,
      0.451201340653625,
      0.275806415294197,
      0.19927955676016,
      0.32853143083564,
      0.568006344912914,
      0.38227345753242,
      0.28450035271663,
      0.454174397418629,
      0.379678524885836,
      0.255578458868736,
      0.214401710605381,
      0.584319689094012,
      0.438878898589342,
      0.21962353861347,
      0.339144048434342,
      0.450793476742642,
      0.221492144120056,
      0.240697375294093,
      0.477343068914711,
      0.521279969135685,
      0.361142742148151,
      0.32180926699213,
      0.448289382453305,
      0.513112180304559,
      0.363112283049544,
      0.391676506140939,
      0.515453226063019,
      0.558867994795147,
      0.30425883454026,
      0.427326125538734,
      0.49041490531714,
      0.387721503884,
      0.37066041153984,
      0.417212332910387,
      0.385488524068546,
      0.381884184059045,
      0.431183963215879,
      0.501508997282643,
      0.436962689897918,
      0.377242283323902,
      0.340913464702702,
      0.608684648360422,
      0.463407477120235,
      0.548490547102642,
      0.382923315824536,
      0.334470220554742,
      0.459000143626044,
      0.421977840634015,
      0.374880839541306,
      0.46551215797402,
      0.596430732739479,
      0.497154069000838,
      0.530638260252293,
      0.501955663122057,
      0.393415025332716,
      0.518313880499704,
      0.412220395297725,
      0.610640755218953,
      0.404138266031241,
      0.386555118430451,
      0.45554206260259,
      0.46345686042661,
      0.420213280310371,
      0.376378987641896,
      0.569664576345683,
      0.54167468146346,
      0.416504268432818,
      0.515200443610523,
      0.455881125272965,
      0.559832483127297,
      0.276266884409753,
      0.452793776044725,
      0.57266457845496,
      0.413205726118492,
      0.319610338836145,
      0.43768533129387,
      0.511223229444625,
      0.282065480349043,
      0.306568881940297,
      0.322199221765955,
      0.359380507479597,
      0.271010832073276,
      0.278381926553157,
      0.281041418315499,
      0.285728670344694,
      0.227344916331279,
      0.263598263539789,
      0.279245677289889,
      0.287754129379339,
      0.420131144015668,
      0.155567129633207,
      0.243418671328343,
      0.261260704005082,
      0.296550217421874,
      0,
      0,
      0.220519226439032,
      0.144566830283031,
      0.15207016093526,
      0.117623398902112,
      0.142765143529346,
      0.263851143320849,
      0.231155348401758,
      0.213770050849719,
      0.184085216448327,
      0.124229225838399,
      0.156748103615729,
      0.114684665792537,
      0.204949012452226,
      0.26486505243867,
      0.150964923162288,
      0.241856540831626,
      0.138034864498748,
      0.161822907240937,
      0.0965522001998484,
      0.169322707538782,
      0.226624408117842,
      0.10849541312017,
      0.257192624205792,
      0.181904007039702,
      0.162631123823156,
      0.173704482156386,
      0.216180340896422,
      0.430858105505712,
      0.347994519867832,
      0.336870252567689,
      0.359643030005497,
      0.323935670875026,
      0.232296750371185,
      0.268386977375059,
      0.407890542209274,
      0.377343552248009,
      0.416172201815018,
      0.494083221290713,
      0.219376457037114,
      0.293224992015486,
      0.36720532576927,
      0.324254829277068,
      0.419808214106247,
      0.436945010354788,
      0.554713649176162,
      0.305213087399586,
      0.34371925648791,
      0.447294650199455,
      0.264415232468537,
      0.317459369809389,
      0.342812343276653,
      0.620701973070006,
      0.188218929812537,
      0.286645054883368,
      0.42090627640079,
      0.26794602886287,
      0.421799919353472,
      0.306063491731687,
      0.539492694246447,
      0.290231666665966,
      0.307741093459286,
      0.30997686603035,
      0.383322443527886,
      0.280879650101808,
      0.258002600663066,
      0.386059617034513,
      0.407384385703165,
      0.361996056517084,
      0.166127218815225,
      0.339138387219888,
      0.422236181113853,
      0.213118992852943,
      0.381322988272648,
      0.389374388756808,
      0.378650809488249,
      0.265787474903696,
      0.319215853252914,
      0.404619265256876,
      0.275834723710018,
      0.232532531358789,
      0.290256879870773,
      0.424430012556004,
      0.179232813284609,
      0.412377546682948,
      0.492681792018585,
      0.252501009164848,
      0.303571377299028,
      0.434142772304172,
      0.409180777953239,
      0.391078581858064,
      0.540200575490421,
      0.429989230321145,
      0.348707470584506,
      0.388976236050969,
      0.460430592731719,
      0.384397067078827,
      0.348752040658196,
      0.569153645332402,
      0.588530857978762,
      0.303307759020684,
      0.44859455451674,
      0.307761344828091,
      0.211455520625663,
      0.37897236871125,
      0.584301728644401,
      0.330448539626804,
      0.279099549698912,
      0.381555405659361,
      0.384130077721403,
      0.202452103744221,
      0.176394779190674,
      0.553518732990672,
      0.387401541383447,
      0.215913582935509,
      0.320511687579261,
      0.417496725873842,
      0.451905546219191,
      0.16231146667349,
      0.482053951757275,
      0.438711351628259,
      0.228443369314453,
      0.303225109379133,
      0.286570151939114,
      0.342704235389541,
      0.180426807897959,
      0.40306566958909,
      0.324440942783949,
      0.288820985338767,
      0.355056342685812,
      0.40524625922923,
      0.339706141331513,
      0.166230999069939,
      0.341471783216138,
      0.390143110091047,
      0.424327541314011,
      0.334936445401658,
      0.492875898927879,
      0.346789577308823,
      0.378686387733411,
      0.306107051140527,
      0.219477161450386,
      0.278597460205741,
      0.432159396535691,
      0.570705721793108,
      0.557592931507012,
      0.444109989531079,
      0.448465513716377,
      0.361174436906355,
      0.578104843897539,
      0.39751473931427,
      0.606932447858616,
      0.372807489788926,
      0.396272147956003,
      0.474057597412184,
      0.414806502756077,
      0.429656127176253,
      0.344457916106336,
      0.569381998669588,
      0.54449841290278,
      0.469600033551362,
      0.481382789643638,
      0.407890091116277,
      0.548167030586518,
      0.242620357025083,
      0.530444960230076,
      0.528399220637881,
      0.438429923640226,
      0.287171664201442,
      0.468591554410083,
      0.492761697971387,
      0.360476473234535,
      0.273439888235011,
      0.563308899976334,
      0.490727901017134,
      0.452313350656574,
      0.510089950088334,
      0.41937747392831,
      0.200909718847905,
      0.219184351754385,
      0.553886379639006,
      0.462881339047873,
      0.372949565792435,
      0.419195073656272,
      0.469096255469098,
      0.403628265159601,
      0.384038068076486,
      0.377180466546726,
      0.447023197482615,
      0.470701892013393,
      0.554410876578493,
      0.384894855922322,
      0.332831615905174,
      0.345093621356286,
      0.583494481463537,
      0.5539509405008,
      0.487927749134286,
      0.600678113461479,
      0.366538535160164,
      0.309791490366873,
      0.457556271239909,
      0.328817138541452,
      0.215486050143835,
      0.351834225302548,
      0.601687898757358,
      0.470298151606213,
      0.207289367284595,
      0.43464141877598,
      0.322294773050526,
      0.219690194491099,
      0.260979247434386,
      0.565064696829926,
      0.376519531801298,
      0.199874436043007,
      0.33191631304007,
      0.399156614262823,
      0.193902791441187,
      0.29625899965571,
      0.48798776989556,
      0.471781837946074,
      0.223962158862394,
      0.236958899933715,
      0.354287128791496,
      0.269524163669514,
      0.431288622978432,
      0.30028979107588,
      0.373923989244348,
      0.317619481430517,
      0.355238439804714,
      0.250202086472094,
      0.379326010900107,
      0.164596192603302,
      0.227702690882543,
      0.503283005208543,
      0.408508866532118,
      0.296512513998981,
      0.382276808036457,
      0.298521861714313,
      0.368182865372897,
      0.213563556109786,
      0.26616481322529,
      0.33917806403573,
      0.390558513357463,
      0.519679333098633,
      0.257283349585044,
      0.332416659732298,
      0.35718954225214,
      0.316401217407623,
      0.270555723478877,
      0.465203221994799,
      0.51832989203237,
      0.205297373183137,
      0.311363520102649,
      0.481475409546894,
      0.169956572819119,
      0.264505087994525,
      0.36197700380105,
      0.567201581224159,
      0.200596519498666,
      0.269731979644471,
      0.402956683417691,
      0.302292614982985,
      0.360358832272393,
      0.287741228791814,
      0.562916104228631,
      0.309887347583946,
      0.277875394537586,
      0.285554870518804,
      0.374800346606586,
      0.310036899393135,
      0.25640697077514,
      0.397904722439657,
      0.360984705248553,
      0.254732646074545,
      0.27919069929041,
      0.370006556225101,
      0.370145503993536,
      0.292994599421431,
      0.284171568364165,
      0.466511682511787,
      0.373402400476752,
      0.251747718763106,
      0.303524749718871,
      0.464231628399425,
      0.286917940372998,
      0.243928828990281,
      0.379884062172781,
      0.394923824785248,
      0.310265997408724,
      0.415541554982717,
      0.474742872985599,
      0.23135012649813,
      0.268596464729485,
      0.244908631133973,
      0.37225284951961,
      0.241914221247877,
      0.520063380484164,
      0.438734977566183,
      0.246092983414767,
      0.41966781857152,
      0.297843094359797,
      0.221727407486508,
      0.405355434188146,
      0.612111715260666,
      0.418352452059882,
      0.260862792331316,
      0.467296582335287,
      0.338434296859363,
      0.250822061818037,
      0.295358999607826,
      0.618761878950128,
      0.292537743977643,
      0.403493908670326,
      0.421351519088999,
      0.396813015404398,
      0.404755065313375,
      0.342491964321003,
      0.497761261136282,
      0.468982561543515,
      0.5915728930972,
      0.255268940301747,
      0.445028173967128,
      0.420309263613553,
      0.421260644436269,
      0.380434128506262,
      0.502125816249309,
      0.370654539541338,
      0.338035600045508,
      0.401429541221021,
      0.429377007476121,
      0.366839984492869,
      0.344559388924339,
      0.414008668295408,
      0.506354592272062,
      0.307117687748014,
      0.427693495089045,
      0.429261055334355,
      0.421684783090182,
      0.392547275249183,
      0.325307317237577,
      0.34777927871491,
      0.338138500030356,
      0.465628361058146,
      0.528662127179625,
      0.398770349367163,
      0.371322737465288,
      0.338038473454653,
      0.579125852024676,
      0.424506441676577,
      0.595134444940243,
      0.402981038584141,
      0.351327394340541,
      0.48051556190237,
      0.389818191000618,
      0.369225607692323,
      0.424078178197194,
      0.559681796197196,
      0.52010831928189,
      0.506779557920752,
      0.430052405661175,
      0.373410386073061,
      0.430506207157664,
      0.243106190911376,
      0.580602212474373,
      0.452693634276994,
      0.427803293505985,
      0.372197542927925,
      0.485976750113308,
      0.440670812628139,
      0.146417816896085,
      0.158182251490265,
      0.226591952091295,
      0.156471040936531,
      0.38479372549282,
      0.284170845364968,
      0.211364535446883,
      0.0784439546543687,
      0.531548524558274,
      0.290823709477844,
      0.426295250811982,
      0.360935542146401,
      0.198159469672438,
      0.174667307101842,
      0.211597966762702,
      0.382373061519405,
      0.370129625481384,
      0.236350271291435,
      0.290622341592501,
      0.205176812747107,
      0.178057140052836,
      0.341197351429781,
      0.29057530515588,
      0.230863047416652,
      0.177708619775842,
      0.520451677924737,
      0.388514320041925,
      0.409723222840327,
      0.340249127127937,
      0.336204913340104,
      0.310800679573391,
      0.291183218474712,
      0.418550227906028,
      0.560798328197185,
      0.338841763175871,
      0.256219839227453,
      0.411380087519044,
      0.268953761753207,
      0.159342270408607,
      0.324570458704679,
      0.564684688191926,
      0.361484405170587,
      0.284538527914523,
      0.433561456657251,
      0.31257357393297,
      0.273186259805815,
      0.222153583448785,
      0.558609358121741,
      0.383815337395702,
      0.242760243727064,
      0.323308009830635,
      0.383745335472838,
      0.1986916492053,
      0.215242752015772,
      0.495149106677923,
      0.432962344245497,
      0.379695628304306,
      0.280604077601633,
      0.450484189888838,
      0.46377103880474,
      0.367391615281885,
      0.341435701685906,
      0.422822062705687,
      0.555180970483753,
      0.276565498659104,
      0.395657726094516,
      0.434039100499984,
      0.420673674167901,
      0.375784636627836,
      0.345702593544179,
      0.347889469019761,
      0.405418950877843,
      0.440110037604358,
      0.482449035211752,
      0.404924195000312,
      0.364271628019389,
      0.339409310438245,
      0.586861586439488,
      0.426804085551037,
      0.54520219249204,
      0.387106996979411,
      0.358612296293068,
      0.443498045853565,
      0.368614388676875,
      0.334703429773109,
      0.434881758172853,
      0.538487152827418,
      0.528217163944093,
      0.513769884234768,
      0.466072306754631,
      0.362242029900682,
      0.535694493574234,
      0.378950843994169,
      0.588330327321532,
      0.358867452517788,
      0.393540782937923,
      0.406448514855122,
      0.450143128250682,
      0.437039681474319,
      0.348149470598481,
      0.541523110141158,
      0.543008463706377,
      0.45073895861979,
      0.49847578065114,
      0.414031675445627,
      0.544560383246871,
      0.266265728771011,
      0.475049872963208,
      0.536151678485507,
      0.351398145898835,
      0.28320153476386,
      0.41255472077653,
      0.488849727927107,
      0.256197002696009,
      0.262830795074056,
      0.272021701245386,
      0.306196125693646,
      0.229790876268734,
      0.245178629000074,
      0.229895075275789,
      0.244192494509112,
      0.217112627840779,
      0.216069737768333,
      0.25684114928466,
      0.282619758015834,
      0.39683964004332,
      0.317365634796582,
      0.257072416222425,
      0.31378772593837,
      0.318557729756502,
      0,
      0,
      0.260709345841372,
      0.132879298536018,
      0.154591005275647,
      0.147586029865383,
      0.224680246922096,
      0.287902446479212,
      0.257413467093582,
      0.223546500416426,
      0.199225807366242,
      0.127085510016928,
      0.208600864455597,
      0.188649685105314,
      0.176257885340963,
      0.25799212761414,
      0.171176889666535,
      0.230962424958257,
      0.151227608669497,
      0.178200434629274,
      0.145486518615675,
      0.166921930802737,
      0.269558546488245,
      0.152335878316386,
      0.300459086283119,
      0.156353458664383,
      0.163001802674362,
      0.197465544086331,
      0.243796877528932,
      0.398556233663576,
      0.355275812840482,
      0.393974036658642,
      0.36771228936991,
      0.372931414595122,
      0.245178575112304,
      0.298033878765707,
      0.411411373540985,
      0.344393541822804,
      0.449869992705539,
      0.487121112425739,
      0.320626101109437,
      0.309603245151875,
      0.384798199772949,
      0.310747170842998,
      0.401685883779388,
      0.440744249516089,
      0.556331153159572,
      0.268123798303943,
      0.334397352398095,
      0.492968349762594,
      0.299578340261292,
      0.377557465987476,
      0.362603665811355,
      0.580333154153998,
      0.230780852373097,
      0.282381735304861,
      0.456963559394953,
      0.318474500045053,
      0.383784883378141,
      0.290659313938652,
      0.521138598515712,
      0.276467654410491,
      0.313638033026614,
      0.369652683434772,
      0.388787460495989,
      0.348074053203217,
      0.269814617313122,
      0.3391811610743,
      0.403538194870197,
      0.402795984048791,
      0.206817051920703,
      0.304531863474172,
      0.439448533109568,
      0.229961738770185,
      0.368753395071609,
      0.392332990984338,
      0.389970982447795,
      0.257434760085934,
      0.287060488807685,
      0.414743905015737,
      0.200090410729814,
      0.250794349158525,
      0.366304653936423,
      0.440807928110755,
      0.207985108316007,
      0.401742892531693,
      0.478089716877893,
      0.279649143283659,
      0.305209555204997,
      0.395615198841074,
      0.443018309108438,
      0.412633256040105,
      0.521267846670762,
      0.402006659906899,
      0.330001250223069,
      0.402096939514187,
      0.511327993810017,
      0.343371720348185,
      0.371881710466212,
      0.601946409355696,
      0.512921723999924,
      0.293200015287988,
      0.479175693654576,
      0.348350876564646,
      0.192131274090375,
      0.349075800161396,
      0.575879786937147,
      0.250999917367969,
      0.320750256979582,
      0.427472029493349,
      0.416322392224996,
      0.16503936806973,
      0.178010404187059,
      0.498074701575086,
      0.329363917798655,
      0.252883757925795,
      0.33279218258434,
      0.400986614499661,
      0.478610103810698,
      0.170410391607375,
      0.527911727829209,
      0.427095649910665,
      0.218175854849904,
      0.335276456669932,
      0.339843448957227,
      0.373807167744634,
      0.170053703824452,
      0.37187417146171,
      0.328483618012837,
      0.269489100140078,
      0.381992856164257,
      0.384465442366416,
      0.363496670743792,
      0.181593823470312,
      0.344478774908474,
      0.294262062591566,
      0.442186490636259,
      0.361806257408896,
      0.530573885358052,
      0.373090353706031,
      0.361950634989867,
      0.297426858651561,
      0.196500022105318,
      0.269420972379505,
      0.44837704429219,
      0.530449607302905,
      0.50886754228857,
      0.452610202593412,
      0.470180359677336,
      0.356514419954665,
      0.564512642131584,
      0.400083695403134,
      0.611400003057683,
      0.357525374255615,
      0.343166050184523,
      0.487701461383711,
      0.406076385712729,
      0.384769495367694,
      0.315871434356364,
      0.556769297984721,
      0.525457680357814,
      0.444265581162051,
      0.448534435901182,
      0.394062867010051,
      0.477833609420638,
      0.210010279726068,
      0.544299759525979,
      0.4918688532793,
      0.425185675122033,
      0.246025278766908,
      0.437936781848358,
      0.53747031690522,
      0.358128642089231,
      0.255287547001369,
      0.523844403803219,
      0.444270705632183,
      0.451612085237119,
      0.448033045895651,
      0.438931389637405,
      0.170672726889567,
      0.212311943459284,
      0.60962209310731,
      0.456298259620176,
      0.369778334674387,
      0.418332837893293,
      0.44903616764265,
      0.394720319977718,
      0.371210613360725,
      0.366788837121623,
      0.455561939513317,
      0.427598320192576,
      0.499118813098263,
      0.337276188598408,
      0.276824785020572,
      0.327174294339717,
      0.608358724290793,
      0.554629073822248,
      0.500659925518,
      0.564130432092293,
      0.345311389067056,
      0.255201565087987,
      0.500677288106636,
      0.317866481578921,
      0.167650101493302,
      0.383533442696704,
      0.598146618361009,
      0.500089699582865,
      0.199297575650611,
      0.463581982358538,
      0.364642888088313,
      0.183064940789746,
      0.206215353598389,
      0.567472821580781,
      0.430258465029285,
      0.221572270063817,
      0.317191042522695,
      0.434037187429582,
      0.23633142957489,
      0.249320740729109,
      0.431734982255339,
      0.480997969730888,
      0.287066159202802,
      0.248927494279213,
      0.35721475719149,
      0.300068998913917,
      0.42802619563672,
      0.312767474552286,
      0.382748031748556,
      0.280270297123709,
      0.264521545998665,
      0.272642151650671,
      0.395442269265875,
      0.103729540936664,
      0.202818726708119,
      0.533291725721709,
      0.426188733299395,
      0.308483430024146,
      0.366893353605225,
      0.303818804326797,
      0.352530028424885,
      0.265961044835421,
      0.197393570074083,
      0.262567675972512,
      0.375702198703604,
      0.480845964215188,
      0.254127177084733,
      0.279847353248054,
      0.387697926720153,
      0.270405308907819,
      0.356743282457515,
      0.45613486709912,
      0.530310971580245,
      0.209988710328253,
      0.309395006690566,
      0.494250612638688,
      0.20657589359971,
      0.341941145504614,
      0.323495375145719,
      0.555118372885792,
      0.339799082275809,
      0.29686650892665,
      0.449385012324824,
      0.376392001197786,
      0.346848637648225,
      0.271646335553065,
      0.550577422630989,
      0.272170110709562,
      0.267062152989251,
      0.253922380958541,
      0.359842533812667,
      0.339779541453641,
      0.2999055404156,
      0.342478152060775,
      0.345999184386731,
      0.327802221477183,
      0.349865057691231,
      0.342414297291756,
      0.404408038104092,
      0.270159357007022,
      0.273282756012838,
      0.478122736597704,
      0.368068066472332,
      0.354680753635387,
      0.317401111729326,
      0.493312258422796,
      0.269227968216682,
      0.254685975404962,
      0.36145520009756,
      0.408207500915021,
      0.435492717333672,
      0.408608560803464,
      0.476274871481882,
      0.261235395012656,
      0.265219252652801,
      0.229082741392089,
      0.358574479123586,
      0.258445319053836,
      0.545653268358456,
      0.486226770074504,
      0.330405507677139,
      0.399317695722034,
      0.362384913654512,
      0.298860909356322,
      0.430216591648326,
      0.570184486606461,
      0.442440826884005,
      0.24964535108903,
      0.50919704202429,
      0.323584601133462,
      0.250036808011755,
      0.315310474523023,
      0.598404623872806,
      0.279041654648012,
      0.342104272128873,
      0.398939828695041,
      0.429541680659047,
      0.388443855429606,
      0.336272136101974,
      0.499124884964125,
      0.439585700813806,
      0.5723362073756,
      0.214749193354183,
      0.447603956198168,
      0.475963742136176,
      0.450379787666501,
      0.345767215908357,
      0.441207949654107,
      0.251895169554931,
      0.310801593678929,
      0.36490325906962,
      0.439071231409448,
      0.36790643539146,
      0.366838717699294,
      0.410298642959097,
      0.506466524079369,
      0.300257193819202,
      0.435642019591092,
      0.413364895700951,
      0.401131167583679,
      0.361664940692589,
      0.313900495256583,
      0.354765466054499,
      0.354075051253311,
      0.454281443877437,
      0.501919788584824,
      0.405842844791975,
      0.365609182181323,
      0.340249128173054,
      0.560385201162942,
      0.434818750564928,
      0.591671844156892,
      0.384255317446022,
      0.366942961435871,
      0.452987506991862,
      0.381011098739381,
      0.366740646463287,
      0.437969452347334,
      0.59480593376552,
      0.508251033368988,
      0.438173427933897,
      0.457203674780554,
      0.412256060160993,
      0.406639267424722,
      0.214477628422961,
      0.608667611563374,
      0.494483910783828,
      0.372983057585217,
      0.389063978720097,
      0.463815526879658,
      0.459007917221601,
      0.227664024516976,
      0.16832769915169,
      0.247890834811852,
      0.205802111073967,
      0.264594357587559,
      0.368997776369303,
      0.218581194728655,
      0.123905020127924,
      0.561097280931177,
      0.316691668552396,
      0.424750181936309,
      0.320004660454398,
      0.191832484582191,
      0.152264957225604,
      0.213782485127092,
      0.339553421225881,
      0.359927045728741,
      0.241410304431799,
      0.244589315455365,
      0.23969194338751,
      0.146137474349426,
      0.254253484381311,
      0.245852537818758,
      0.22693486093,
      0.200405177429856,
      0.501285037997786,
      0.366690127547977,
      0.406507699943249,
      0.251160690402337,
      0.384786649330471,
      0.298458715878804,
      0.26255656019373,
      0.42764615774936,
      0.539134408479953,
      0.377772615828497,
      0.285045651302239,
      0.447303410489731,
      0.277434178279469,
      0.187040641233003,
      0.304899350992426,
      0.586321873836367,
      0.330929318551924,
      0.275720621850178,
      0.446703264981466,
      0.359461309606066,
      0.260477405546113,
      0.26353825404993,
      0.548601870550396,
      0.311664899083404,
      0.270967517892458,
      0.312006076267729,
      0.347636845422913,
      0.245733281232714,
      0.201031514637675,
      0.447852119711569,
      0.355217976244497,
      0.262081218392852,
      0.292367296792446,
      0.402324991769674,
      0.478095974884269,
      0.356405349779407,
      0.378803111546728,
      0.432220099266851,
      0.555777267436559,
      0.236528486734995,
      0.399240519768523,
      0.471920227423371,
      0.417133068184165,
      0.349785948735855,
      0.322636201164284,
      0.320640814163799,
      0.39758309925701,
      0.393018544400275,
      0.487107620486683,
      0.378008491429049,
      0.359988009669288,
      0.343082297521071,
      0.54894401667929,
      0.430500599270325,
      0.534939470209391,
      0.363713647758493,
      0.364088675287629,
      0.433648643874716,
      0.318109113732558,
      0.357865150895268,
      0.440265042652757,
      0.536839559394528,
      0.517880472704951,
      0.479889191435969,
      0.433138032700546,
      0.370562630693647,
      0.530979495536094,
      0.388727161688272,
      0.611792412714707,
      0.354287526964734,
      0.360233713059122,
      0.431352008446607,
      0.476607496298517,
      0.39450271023253,
      0.321360161750915,
      0.538292177502231,
      0.509515648071392,
      0.451505857849082,
      0.447736907293577,
      0.437316444843706,
      0.479677885263847,
      0.198101845295817,
      0.482659831805443,
      0.523143572252885,
      0.365716471166015,
      0.291136404930906,
      0.419056851983103,
      0.489265284364511,
      0.210540937691067,
      0.183607128813563,
      0.169105256157619,
      0.139927421166978,
      0.141984977068846,
      0.24213844006126,
      0.164489348009071,
      0.148379463672217,
      0.217725659813482,
      0.142348219406393,
      0.193949254681892,
      0.240734603612165,
      0.359709945242539,
      0.305356153744879,
      0.202906770299291,
      0.25967617170473,
      0.278675857770846,
      0,
      0,
      0.176290809673213,
      0.109956244713123,
      0.100676960243312,
      0.129761648134912,
      0.176577802170376,
      0.20178288883362,
      0.191818738229113,
      0.173024807334527,
      0.145750011788209,
      0.0970992045295483,
      0.138295865962177,
      0.145417830274951,
      0.233103047734157,
      0.272620624147541,
      0.137827243824627,
      0.249513648754946,
      0.165732285913806,
      0.142270927418202,
      0.244084929133661,
      0.242250858634698,
      0.288513066734007,
      0.154959697635867,
      0.218327208761068,
      0.183964611280628,
      0.184395402116771,
      0.206162916777332,
      0.163691366395563,
      0.348180401433661,
      0.345127521443456,
      0.357345174054071,
      0.379169912458655,
      0.344019486517231,
      0.289784342230045,
      0.291828406868181,
      0.391472502593615,
      0.327958654330844,
      0.425068163812477,
      0.476791749742449,
      0.292522670601729,
      0.339415878322084,
      0.390190955125634,
      0.364101746833742,
      0.414135635406438,
      0.424895480706729,
      0.584780170752394,
      0.257457166506829,
      0.329054796402172,
      0.466128582593063,
      0.293437830288212,
      0.328430179280874,
      0.359618563376866,
      0.596150381600583,
      0.239551307476868,
      0.269204609758158,
      0.425732121685567,
      0.285255932206362,
      0.388234500980319,
      0.232312178605408,
      0.527364224532523,
      0.319595047963291,
      0.307565582486934,
      0.303586086152009,
      0.398989116924805,
      0.300240940352043,
      0.261735610201373,
      0.346772152057111,
      0.451306925477006,
      0.384794316419544,
      0.202389470492257,
      0.310447997095415,
      0.398704211479511,
      0.183894986637371,
      0.332072563281602,
      0.412253120326262,
      0.37059619089367,
      0.235028218588121,
      0.301817428536471,
      0.419286433244506,
      0.185846727042718,
      0.249626804885332,
      0.348442308427153,
      0.444881469899705,
      0.171061913394439,
      0.396031090501946,
      0.444582124359231,
      0.246239569536471,
      0.308813390350632,
      0.401478407150959,
      0.486319508728718,
      0.413252158593372,
      0.542162476131524,
      0.405347626517887,
      0.355216181728332,
      0.390526835693615,
      0.498571370974694,
      0.352308359230565,
      0.391333964865638,
      0.611180517475881,
      0.482177530612756,
      0.30113518723706,
      0.448118282181426,
      0.35872474220139,
      0.195638883896295,
      0.351575692509556,
      0.588677390855545,
      0.298726323090457,
      0.24757204712734,
      0.387056912179607,
      0.38509482612847,
      0.206861872249071,
      0.145290395212172,
      0.501245466953615,
      0.379394634681654,
      0.235238383093999,
      0.34933346112872,
      0.403134961494817,
      0.492117673376998,
      0.219522866417842,
      0.499492237508069,
      0.480734462031134,
      0.212728020949817,
      0.325434965963396,
      0.347350720215633,
      0.336537000691512,
      0.175338750647311,
      0.40065178779671,
      0.398976111837348,
      0.322694777824134,
      0.430868908488711,
      0.401349354664981,
      0.354162103722701,
      0.163310193880497,
      0.322545317659629,
      0.278631833973689,
      0.442047931561413,
      0.350221695675811,
      0.571749515806558,
      0.334958777889412,
      0.360845910888512,
      0.296075206719184,
      0.205646274389848,
      0.259024931957789,
      0.463083304441279,
      0.548620835890857,
      0.463229186872443,
      0.401231252445961,
      0.470563382322526,
      0.339711117669211,
      0.542027407250312,
      0.408476490149507,
      0.596135635621047,
      0.388465672961259,
      0.34695942055916,
      0.454514944325909,
      0.426132873285676,
      0.382903743790769,
      0.288233021826607,
      0.577144284125707,
      0.542681061814844,
      0.420695489712744,
      0.42489665389655,
      0.40672492760823,
      0.50127013906457,
      0.230210642875162,
      0.520497967152232,
      0.498791614138868,
      0.411936763706579,
      0.236214751180238,
      0.442874269447866,
      0.467967381205771,
      0.328663328419692,
      0.274969071427333,
      0.550918390064767,
      0.485841289870259,
      0.422905199253342,
      0.431826713046466,
      0.421485468014949,
      0.167720242672456,
      0.197999834638157,
      0.587662840301324,
      0.491870176048476,
      0.351723859244312,
      0.416471601819481,
      0.444841408948577,
      0.312364891257635,
      0.357251342576127,
      0.409937556577782,
      0.458616756599609,
      0.4708674641992,
      0.504949214223459,
      0.333208221471932,
      0.262766672053467,
      0.344905292426845,
      0.577004282840923,
      0.59316831683641,
      0.485325859307817,
      0.583729373262681,
      0.302712143495436,
      0.226849459310186,
      0.533356221762835,
      0.309948061082319,
      0.186652283798168,
      0.375392367558074,
      0.609315293916919,
      0.490154496565507,
      0.186610433415238,
      0.406568929082265,
      0.32902604325662,
      0.168360480861,
      0.20375405238095,
      0.567351720375253,
      0.502945518431323,
      0.193062562637542,
      0.283696976615121,
      0.421327612855959,
      0.192759460138476,
      0.23539683273306,
      0.424386330408117,
      0.525380548876254,
      0.257628492899361,
      0.203173700195044,
      0.364593149426036,
      0.2891963193641,
      0.432246036727047,
      0.27757912385113,
      0.452509505917949,
      0.257921837510755,
      0.269325681575074,
      0.312489659399813,
      0.383539885599142,
      0.102584339917173,
      0.161513738968528,
      0.537652754500405,
      0.429332689967099,
      0.284743483701301,
      0.419059980439611,
      0.287050120453045,
      0.325633770729528,
      0.231569420917118,
      0.181344485444469,
      0.289092145389769,
      0.408787719100638,
      0.469403862389609,
      0.264798410151181,
      0.281960180611084,
      0.3966598743346,
      0.275187026180238,
      0.294714813217176,
      0.50987403762293,
      0.569809627500976,
      0.250699621951742,
      0.295645848431722,
      0.461053423228181,
      0.188218288552051,
      0.339325868911236,
      0.342314890105546,
      0.550135601013647,
      0.262171694035003,
      0.276743617975248,
      0.407495069683937,
      0.344845714479727,
      0.335808518038359,
      0.268263037326812,
      0.52844499852089,
      0.280583528519745,
      0.298890346582102,
      0.194043363561912,
      0.388964150473524,
      0.323666900319154,
      0.255255210060263,
      0.344296704965074,
      0.418499454795749,
      0.322906409085254,
      0.311283017900018,
      0.366111577985127,
      0.399845379214427,
      0.314995027031477,
      0.256005496398131,
      0.439293896090967,
      0.37936974399402,
      0.337636436234585,
      0.378480777281697,
      0.489698684241203,
      0.214685438013362,
      0.191027006548915,
      0.373073952310172,
      0.419555013273307,
      0.368777526586988,
      0.414827239064856,
      0.511518040663545,
      0.25482486285162,
      0.256490525135975,
      0.24820499751968,
      0.350233350507552,
      0.268868719231208,
      0.550664420356813,
      0.487514941826837,
      0.3105853476669,
      0.416371677590809,
      0.354423099545925,
      0.269321176265541,
      0.422338463434745,
      0.612647705652452,
      0.473799234013246,
      0.290402975796547,
      0.466123740867011,
      0.2933844787543,
      0.255237636390546,
      0.30039490939401,
      0.603416082782078,
      0.352165767270338,
      0.26481857411873,
      0.340150616712915,
      0.39854249475993,
      0.360138400795309,
      0.358670644241706,
      0.503971280948855,
      0.414727033639991,
      0.564773153488498,
      0.224228592425746,
      0.470001103849744,
      0.469991107968919,
      0.439789436504373,
      0.32744092138135,
      0.499603712216553,
      0.2256113781665,
      0.330740718868887,
      0.353734883196221,
      0.419865309071208,
      0.375073448155929,
      0.365422759797142,
      0.440538871174418,
      0.497209714417727,
      0.24767987882112,
      0.503753676161533,
      0.432136786443798,
      0.339287852794158,
      0.328957659870699,
      0.303494553183953,
      0.351376793919721,
      0.33937644371613,
      0.448731072763134,
      0.470088266636115,
      0.365483477400972,
      0.360408116700783,
      0.328918136383828,
      0.557622582012883,
      0.451738688090496,
      0.585625077468978,
      0.391805934448779,
      0.359690440019088,
      0.456656019182219,
      0.34929563667101,
      0.311647267370313,
      0.431301115222447,
      0.618292079971239,
      0.484205319265255,
      0.419596624680643,
      0.414236140149736,
      0.376474162104338,
      0.383570627463079,
      0.246218658638735,
      0.614061955790503,
      0.485830240418011,
      0.332409258642646,
      0.331478184542182,
      0.476849167584534,
      0.460864629436138,
      0.180751326773916,
      0.12470605401881,
      0.227115268402532,
      0.158288208429843,
      0.241337608833786,
      0.384717072644458,
      0.216572334838446,
      0.129650069428339,
      0.545799540759395,
      0.298481335807581,
      0.470969097929654,
      0.407229371219648,
      0.244371066767163,
      0.188979290748824,
      0.234703812043152,
      0.330870523602257,
      0.342911628938721,
      0.234395990565526,
      0.277811204945379,
      0.279977391462387,
      0.14207343069589,
      0.198554292175763,
      0.260259376571949,
      0.231226695968711,
      0.239471086709007,
      0.553900438719283,
      0.348686676921544,
      0.373438015886114,
      0.223282550494276,
      0.336669297770021,
      0.300622106550152,
      0.267497512626106,
      0.410638360485871,
      0.571798190969468,
      0.399269444709868,
      0.286977092800282,
      0.453497931547885,
      0.25868638208425,
      0.183618875762071,
      0.295542565898279,
      0.592673119736996,
      0.299723252143706,
      0.254500874002585,
      0.40588681723954,
      0.33376753811471,
      0.225846347681911,
      0.23667464060029,
      0.56378855174395,
      0.353163172568658,
      0.265283431299478,
      0.22009661667774,
      0.408103947534129,
      0.244253032275783,
      0.18303470391678,
      0.418441787803992,
      0.47763273939997,
      0.181408222719949,
      0.305904805743255,
      0.40019197472354,
      0.459924247759136,
      0.361053073437446,
      0.361153321261195,
      0.489876608932578,
      0.555559736137657,
      0.201505086549621,
      0.480326990924091,
      0.453571389460175,
      0.356586104106339,
      0.331800138369987,
      0.326009197570229,
      0.334630626010145,
      0.349432076658937,
      0.397546601534364,
      0.448019968987414,
      0.365930553060392,
      0.356752081926554,
      0.360923361826563,
      0.557383210733793,
      0.425656410953777,
      0.549105074663879,
      0.371574153324086,
      0.330070614258093,
      0.414590405071191,
      0.346573018403002,
      0.306222374903876,
      0.43514131645439,
      0.542298594710175,
      0.484652043250551,
      0.460002106363837,
      0.433477578703421,
      0.370028151549536,
      0.499156438664542,
      0.357952180569289,
      0.630025567335893,
      0.393148144822743,
      0.335804492155357,
      0.36947781889347,
      0.450250733324604,
      0.384579661219258,
      0.282583785764092,
      0.547468976345938,
      0.537915000040598,
      0.426592777329013,
      0.429479681625313,
      0.400792762495811,
      0.49851079187168,
      0.205856495077684,
      0.445748756528338,
      0.52269972837924,
      0.363122985669794,
      0.273216750721381,
      0.439076281559428,
      0.473738919363563,
      0.229194114138222,
      0.214458740622284,
      0.166998384641919,
      0.194614770005562,
      0.16552531069051,
      0.257755408714221,
      0.15716280295658,
      0.190319774397162,
      0.228716325731036,
      0.209592820678861,
      0.201393014704747,
      0.207023585978025,
      0.388179915225102,
      0.187712557820321,
      0.15043584037596,
      0.138526675752169,
      0.244996931235481,
      0,
      0,
      0.25931722549929,
      0.154653243923623,
      0.201394501350428,
      0.171055280036188,
      0.284175869673215,
      0.284256044115821,
      0.246193181788193,
      0.252375432907102,
      0.184701146344441,
      0.157629311015023,
      0.239156380967333,
      0.246027449798039,
      0.218455651800902,
      0.275797068930114,
      0.161538493527636,
      0.249189196310422,
      0.169476449042223,
      0.140222366217745,
      0.235933139554876,
      0.216765732607376,
      0.278515147815016,
      0.157837850105731,
      0.242344412773621,
      0.181010573584085,
      0.171917260433975,
      0.195047581603057,
      0.191967922575265,
      0.355035836568406,
      0.337510888610063,
      0.379968678638548,
      0.361748954393705,
      0.451477140794866,
      0.28752856610573,
      0.350933268643723,
      0.423924262869891,
      0.335565215771153,
      0.466277321377223,
      0.458738738816465,
      0.309789788786487,
      0.364652029714814,
      0.377704645914103,
      0.379182678128251,
      0.430415108555019,
      0.472143916875618,
      0.573639039734974,
      0.262681949127826,
      0.351808976927953,
      0.498663852665853,
      0.320069934009719,
      0.299509419392659,
      0.392479820863703,
      0.573245020080912,
      0.249261873000783,
      0.275016412017283,
      0.448739808202002,
      0.309869577820467,
      0.408204769458855,
      0.335382556660187,
      0.534365740178243,
      0.382938383277594,
      0.372509718418235,
      0.371885821316799,
      0.452235897859611,
      0.32310574030395,
      0.324247613023072,
      0.378110063202944,
      0.47052223998877,
      0.416974699346163,
      0.208719918142314,
      0.364076308997214,
      0.432442897080462,
      0.182130595863671,
      0.357625679163391,
      0.445892372818967,
      0.389000797515781,
      0.25608349766203,
      0.273056886332321,
      0.472429956240841,
      0.180964995735316,
      0.244875046180442,
      0.358319236120873,
      0.476447065451381,
      0.215764506366102,
      0.407031119047984,
      0.440400041685873,
      0.267126731635017,
      0.332583749243151,
      0.434537860386939,
      0.498443270748249,
      0.490840093041328,
      0.518008849033584,
      0.432969858180167,
      0.352370299782924,
      0.431872331342942,
      0.439768837378773,
      0.389692225534713,
      0.406267683054898,
      0.606027737408069,
      0.46289763159246,
      0.305747513294071,
      0.500069899558749,
      0.331461084610675,
      0.180598833824079,
      0.335073888420393,
      0.550796388881051,
      0.340102605317831,
      0.259541917996873,
      0.437844355810238,
      0.433723190242676,
      0.19834750531042,
      0.177390465069339,
      0.486138692762758,
      0.457916433385818,
      0.263458687653301,
      0.346449341083489,
      0.457888139557338,
      0.519966852208715,
      0.230336055958839,
      0.519399931005981,
      0.541841799807043,
      0.224098603396399,
      0.349876731879663,
      0.405531885064217,
      0.379884241215834,
      0.184403396283543,
      0.392242935866695,
      0.446637079865767,
      0.314805763768744,
      0.453685119315225,
      0.387080299794828,
      0.394570647102925,
      0.200702569308635,
      0.365676961084499,
      0.263042885065171,
      0.477163746274044,
      0.393653348724448,
      0.592802738743016,
      0.329332239109213,
      0.366508102566847,
      0.337424857532324,
      0.197537849471058,
      0.270616360985893,
      0.476493535249256,
      0.563211882359965,
      0.462823631450502,
      0.413265782989831,
      0.476220372653216,
      0.367445199447319,
      0.520397052862194,
      0.451157349075684,
      0.587407743272672,
      0.379211515197197,
      0.373601388323312,
      0.504809045280186,
      0.383386222920494,
      0.393610618308115,
      0.281352526680857,
      0.549533834869312,
      0.487906526836621,
      0.442378798954152,
      0.44094484037796,
      0.432902470011084,
      0.545770089026942,
      0.205132793441373,
      0.508421267060377,
      0.557687845049851,
      0.382433551100124,
      0.237395682947188,
      0.460330573998522,
      0.466922683370902,
      0.287079141731896,
      0.330835045425092,
      0.549893873429914,
      0.455235599552064,
      0.417714861426178,
      0.461139745786386,
      0.449391275470304,
      0.250023201954957,
      0.248652397208542,
      0.547118028319473,
      0.498596229827359,
      0.345376155416426,
      0.403031657134435,
      0.480814785387964,
      0.345588899667136,
      0.351868598154352,
      0.40277600203283,
      0.471476192985537,
      0.416351666981862,
      0.509082257662674,
      0.322716722093338,
      0.265502851430613,
      0.362445632002172,
      0.525906830918179,
      0.586940857579473,
      0.502045162333255,
      0.569910509328273,
      0.328066156803394,
      0.205785847361758,
      0.537118191513466,
      0.362650262103968,
      0.1902272372201,
      0.396710421965531,
      0.591369692184146,
      0.43230899204628,
      0.242421735814736,
      0.473656605878224,
      0.401762505695724,
      0.197749681177725,
      0.319762773391418,
      0.531116258681378,
      0.533474385692015,
      0.21781991314795,
      0.324304944210487,
      0.466247727247965,
      0.227477163578833,
      0.317161196879183,
      0.445134170645915,
      0.57877980909083,
      0.270131597065726,
      0.218658368235608,
      0.415489374039855,
      0.323139847784479,
      0.454970731990149,
      0.325482539373777,
      0.503416645340135,
      0.287532758240708,
      0.340913760997448,
      0.304773301850881,
      0.436026080582682,
      0.111350932437324,
      0.252366260647981,
      0.508951381198738,
      0.407943116567914,
      0.329458102630648,
      0.385287775076856,
      0.346606162770341,
      0.314940631410572,
      0.265056864342437,
      0.198667479364427,
      0.287927408052716,
      0.406789152529113,
      0.4806262891583,
      0.252132167234227,
      0.31568229841997,
      0.398599698749343,
      0.247268492509369,
      0.416146803251646,
      0.551273385858632,
      0.573719315109874,
      0.238300934764386,
      0.312393483293823,
      0.525280451790477,
      0.209923543989586,
      0.375086920803585,
      0.367939248272303,
      0.570872290921273,
      0.25768487435131,
      0.294181780528855,
      0.461236145149375,
      0.371853161509666,
      0.379218357712576,
      0.314945087563134,
      0.510838322873183,
      0.34990947430376,
      0.389620494073457,
      0.22603957586514,
      0.413435473475937,
      0.338851602378917,
      0.282693519400497,
      0.322279629654981,
      0.459922276346696,
      0.348809200481849,
      0.400380187776084,
      0.379685998770434,
      0.473738128173468,
      0.34423352076154,
      0.249415315478705,
      0.435087470808547,
      0.419578743696496,
      0.310471195975591,
      0.335550612236828,
      0.50806826628862,
      0.232886545588284,
      0.239051593988776,
      0.319025864514367,
      0.441064600950867,
      0.441820625722462,
      0.407601097614568,
      0.504540699823546,
      0.289173584500518,
      0.31842673271493,
      0.259150946265405,
      0.366320161435716,
      0.297806914491992,
      0.544998838316522,
      0.510602412006039,
      0.314811932704251,
      0.428518511900064,
      0.370472851869865,
      0.271506332410443,
      0.466271853569472,
      0.560247127895351,
      0.416778094086051,
      0.296691190900433,
      0.53457705484082,
      0.297750149703061,
      0.249913501237451,
      0.310070473848459,
      0.57738740224279,
      0.369599099975895,
      0.245772495563517,
      0.41521242877466,
      0.433773919074544,
      0.393738852050193,
      0.387433567639244,
      0.504868298522815,
      0.484282428305377,
      0.555160432936009,
      0.307980700111209,
      0.595557340109762,
      0.477912524814016,
      0.431401837133184,
      0.32877330035428,
      0.562638823760577,
      0.240876521379562,
      0.316756556091065,
      0.40618235902554,
      0.449024894459829,
      0.402697344857631,
      0.41360533853359,
      0.473017270489585,
      0.5336579470032,
      0.265038094242434,
      0.603971918195438,
      0.454698340437586,
      0.269045466129306,
      0.348448934009718,
      0.280076039307598,
      0.367042349708923,
      0.343703762660926,
      0.447080384140314,
      0.477495709144742,
      0.392042936891868,
      0.391043126682579,
      0.382853727155433,
      0.556128171978595,
      0.478567216989477,
      0.610292438650366,
      0.383734796522089,
      0.3591150798769,
      0.471514529307212,
      0.313915901882731,
      0.313554698635664,
      0.478852945529524,
      0.597529438963606,
      0.448893198141852,
      0.445862902547184,
      0.432112675211011,
      0.391185323955541,
      0.395903992300648,
      0.224773253796494,
      0.553405418149015,
      0.482335157800396,
      0.37342714304378,
      0.388628298407827,
      0.479603126993646,
      0.431796872129814,
      0.183779404558487,
      0.170246732724324,
      0.224255304899098,
      0.183926580271554,
      0.278302199862496,
      0.359493379380123,
      0.264137294979959,
      0.204328660050071,
      0.569755439905314,
      0.304049534292942,
      0.475347914678877,
      0.431224752456348,
      0.199165080064492,
      0.156507890200947,
      0.242864144483552,
      0.310058705489536,
      0.32167811096941,
      0.207571725691305,
      0.281989782904868,
      0.276425009758312,
      0.124412103518083,
      0.197557785887839,
      0.236584083166232,
      0.273479478188526,
      0.225877165123105,
      0.550053807909009,
      0.375260673162983,
      0.394241754459419,
      0.236083414840891,
      0.338183147227253,
      0.352717789580229,
      0.277342025679242,
      0.450341948954723,
      0.568860513657054,
      0.398389576170136,
      0.293718871225286,
      0.487387872795784,
      0.305332214579773,
      0.224169026211955,
      0.314803161197305,
      0.572516219991837,
      0.372587884381456,
      0.262858418379315,
      0.471809045147374,
      0.352967475248708,
      0.2172336691571,
      0.324255963482545,
      0.529183035979446,
      0.41700448286465,
      0.275472978501912,
      0.305439985963557,
      0.449231367009042,
      0.25236385531604,
      0.214741266379104,
      0.434785254639379,
      0.523067128678352,
      0.165910189584689,
      0.300575566915585,
      0.43314961357326,
      0.459664779727717,
      0.386279316597791,
      0.379365665974781,
      0.531419247688708,
      0.602651536678232,
      0.256903892600539,
      0.621091238508993,
      0.479165330900326,
      0.246657887396399,
      0.327634022354922,
      0.378318681144383,
      0.3626770424042,
      0.347584530483053,
      0.378104931085441,
      0.455542290954051,
      0.382951693427086,
      0.406298628915624,
      0.376559941581274,
      0.581176729815006,
      0.444016559818088,
      0.603693844543318,
      0.376462584407951,
      0.331678825112421,
      0.414550278756135,
      0.287070961486651,
      0.291390220997285,
      0.461779073679197,
      0.572320994221102,
      0.471947360699528,
      0.457951030254476,
      0.449995486516505,
      0.385979149733386,
      0.46676076541291,
      0.399830398904194,
      0.576368506223713,
      0.433484563361522,
      0.383411816190689,
      0.452740299640443,
      0.43333557109097,
      0.402050482325179,
      0.246066038894058,
      0.525367819135612,
      0.492361426810583,
      0.416325202062265,
      0.428585568297703,
      0.450438157987756,
      0.54899411506868,
      0.194457467899578,
      0.427096453033808,
      0.539857261972823,
      0.3598225101344,
      0.270193332411813,
      0.451178708565771,
      0.479980504481669,
      0.264527082844457,
      0.291817720887272,
      0.238424491775429,
      0.276228025395732,
      0.229747487097525,
      0.215901179802106,
      0.213528761635243,
      0.252724659461064,
      0.271850676602606,
      0.282073754935976,
      0.298456174362713,
      0.247594342222879,
      0.384429052765826,
      0.226102715842007,
      0.167306079681482,
      0.117733492032317,
      0.227716425292045,
      0,
      0,
      0.21992469402084,
      0.0989036639166361,
      0.131069374803296,
      0.136531091546194,
      0.167089457593239,
      0.275813618127464,
      0.221954302501788,
      0.234249300847536,
      0.216063134240197,
      0.09971935615003,
      0.124146315108501,
      0.155428416541923,
      0.257659835610426,
      0.294238581381234,
      0.196688464348198,
      0.276007897555785,
      0.132877683861885,
      0.139029391840998,
      0.13560960951114,
      0.200256294807502,
      0.264125823837157,
      0.0902556015646793,
      0.313478413094244,
      0.22465080616484,
      0.139173738737364,
      0.182405979096352,
      0.253403793657064,
      0.369061847554435,
      0.320261837646348,
      0.373894125531569,
      0.374035599611249,
      0.453050275453854,
      0.221673692064032,
      0.32458908199413,
      0.451054207603323,
      0.341461535297756,
      0.460542629972945,
      0.46042230859205,
      0.26035907081104,
      0.344691124233099,
      0.373211704134291,
      0.351978044607628,
      0.401910983440868,
      0.465540360955258,
      0.559341997093005,
      0.249125078137067,
      0.337790574340881,
      0.518477414597744,
      0.300678711696004,
      0.304133034221653,
      0.365320216206037,
      0.549649547638127,
      0.212862900826755,
      0.266817188039664,
      0.468189166109858,
      0.300626867575489,
      0.436307117913407,
      0.293899968338958,
      0.529427502737523,
      0.367480499515188,
      0.33460990104882,
      0.333671285947469,
      0.458574214868518,
      0.322701684187111,
      0.337643459612884,
      0.375912609752244,
      0.445286578377664,
      0.409617801737121,
      0.211200928568628,
      0.437195248620905,
      0.445712657686365,
      0.241908889810844,
      0.359125316227685,
      0.417664582531165,
      0.427304622423808,
      0.241213561629984,
      0.358585447897714,
      0.495662950359108,
      0.211680416210004,
      0.273840730892325,
      0.317908408795264,
      0.48212794478175,
      0.221273877753547,
      0.377871332002223,
      0.428575738110247,
      0.286677034956873,
      0.317254349150273,
      0.428531800454487,
      0.530495426991562,
      0.480613563191405,
      0.489627369868541,
      0.408549880714737,
      0.373191376799589,
      0.4258764406392,
      0.455981425678236,
      0.355282390910175,
      0.336671781173071,
      0.550618306918731,
      0.408991877097903,
      0.270512345183379,
      0.522517870498856,
      0.36418322797154,
      0.182697199127248,
      0.3252354956278,
      0.574821130529784,
      0.342441582648203,
      0.233003926619664,
      0.439099059842994,
      0.454469029489277,
      0.217616465555596,
      0.225766533960219,
      0.490585651479116,
      0.487385228202421,
      0.270066019495611,
      0.344827789305262,
      0.470750473725168,
      0.514335194457457,
      0.259043455095181,
      0.546876114175275,
      0.507338402261369,
      0.223044179117993,
      0.298669936073043,
      0.398253424312255,
      0.416985419792572,
      0.171788694962196,
      0.369348302189942,
      0.464028723918134,
      0.338095077521506,
      0.427250731185682,
      0.348161750945738,
      0.42808851861872,
      0.188841367354363,
      0.378814626402674,
      0.270916315940523,
      0.487422773509581,
      0.463831992082198,
      0.63903791418648,
      0.380196135517808,
      0.375438283367563,
      0.333767402101717,
      0.239710815921679,
      0.269726910882583,
      0.468150755808099,
      0.546051292794987,
      0.439774041812176,
      0.415423400099851,
      0.464351408680557,
      0.39777015317858,
      0.487105969826204,
      0.467620663879128,
      0.665319312986753,
      0.538161861989434,
      0.385349420090233,
      0.50809118547884,
      0.379548225903411,
      0.408860941931921,
      0.303994998263439,
      0.570269256842862,
      0.475839267424862,
      0.413890264937676,
      0.448883697838549,
      0.456082338186691,
      0.576325132548202,
      0.220038633191673,
      0.524736892781587,
      0.635766203846327,
      0.415235051761911,
      0.233625490558192,
      0.464309312684107,
      0.460877347369582,
      0.299735313456344,
      0.32300086071733,
      0.555372472225142,
      0.46588790330707,
      0.395045228340261,
      0.442786683509094,
      0.462887290623664,
      0.231097325915426,
      0.250973295482892,
      0.618453772062488,
      0.501561544407014,
      0.311583877140207,
      0.40782410515423,
      0.498073030067304,
      0.315317414353697,
      0.350035628254996,
      0.395976809947654,
      0.466857871916383,
      0.480634779504708,
      0.457016020717264,
      0.348302553822424,
      0.272777051359356,
      0.352323533849072,
      0.651867933810448,
      0.574808403145247,
      0.486024294851483,
      0.531835142112694,
      0.326920431263551,
      0.243666180693849,
      0.56882192956144,
      0.33777081858015,
      0.184507116623804,
      0.399915239475241,
      0.543403689289981,
      0.440862822903199,
      0.230937545954242,
      0.490833347579727,
      0.394108077215039,
      0.197114736667239,
      0.28766617597401,
      0.539309488823383,
      0.58605852396428,
      0.233733075965422,
      0.330233442707098,
      0.450242182982301,
      0.233475229201024,
      0.301978861792112,
      0.450245855118296,
      0.5636298613715,
      0.296947737597688,
      0.275668187589902,
      0.440849645777798,
      0.301830492272921,
      0.484055696036127,
      0.33155326312232,
      0.475563076817404,
      0.318255191983204,
      0.333325767063086,
      0.333539368362092,
      0.440765250965553,
      0.156307613728973,
      0.271898162487763,
      0.483550139038692,
      0.467166215363549,
      0.346089198242951,
      0.393608599215824,
      0.390864535963303,
      0.314790670897557,
      0.247067959994611,
      0.23373136581517,
      0.297958068426296,
      0.46330861623319,
      0.446010549885957,
      0.303517822848171,
      0.361070650583017,
      0.382637720408551,
      0.275707087754625,
      0.334133232175337,
      0.533330384253243,
      0.531936177461032,
      0.263236258778675,
      0.307804967252742,
      0.527782605902999,
      0.197815863710004,
      0.335151152246085,
      0.392270562779072,
      0.562213094662078,
      0.227940145874711,
      0.33647762778955,
      0.4576074428479,
      0.395588607166676,
      0.401328248584526,
      0.320369398095024,
      0.54936787368851,
      0.355158036127272,
      0.336139756296216,
      0.236881311805702,
      0.445804767296192,
      0.406071813045711,
      0.256327493568725,
      0.338148622299761,
      0.437371085053078,
      0.323720341785812,
      0.320170994837142,
      0.42907425144381,
      0.448096041061888,
      0.353584631445154,
      0.319713770916956,
      0.427766256153511,
      0.434565204396522,
      0.218128169137105,
      0.303790779856644,
      0.507741009795014,
      0.274244298235083,
      0.257581120518293,
      0.337169490966391,
      0.487475854614531,
      0.391474434491265,
      0.382084282667491,
      0.498570840027249,
      0.248037754567762,
      0.330519049480499,
      0.218905423919143,
      0.419398239638795,
      0.276863831793334,
      0.491999728539001,
      0.484234715493211,
      0.283077350315373,
      0.455708730628844,
      0.334799052783814,
      0.247741359069198,
      0.460744066626181,
      0.559720589253201,
      0.442065275884859,
      0.34014746312143,
      0.527552634610805,
      0.308192714911876,
      0.221399166331212,
      0.32781015444594,
      0.543302643691032,
      0.39257887855876,
      0.2550738398112,
      0.43508333314146,
      0.447571802590223,
      0.43145954080928,
      0.411272309321153,
      0.523417648796868,
      0.503776226882595,
      0.561913761478539,
      0.294102440173901,
      0.723772233347659,
      0.550179560557779,
      0.432806567734864,
      0.353849949011217,
      0.536086259558163,
      0.247825037135927,
      0.331657516032347,
      0.417935063694368,
      0.463534584900557,
      0.4169472464282,
      0.42539439432555,
      0.468392056459104,
      0.551158013065972,
      0.30185655537752,
      0.702828035597313,
      0.533130324614717,
      0.262428500038787,
      0.336338831665788,
      0.334306268377121,
      0.385556240833023,
      0.385843623193828,
      0.429238343254463,
      0.44025888756739,
      0.424889195951695,
      0.406213643381399,
      0.400490749927333,
      0.653905718951676,
      0.491811852065835,
      0.682794279688387,
      0.525335558888616,
      0.363548034381736,
      0.467745441185078,
      0.410162922398564,
      0.370315243383277,
      0.462053892801686,
      0.544339618840997,
      0.461290926292724,
      0.444480404642624,
      0.495312709780137,
      0.397022230489025,
      0.362866212901458,
      0.239844431994809,
      0.587716349153528,
      0.589553281064363,
      0.431809418155679,
      0.380658487050494,
      0.469715973116754,
      0.388229783059831,
      0.128582991151563,
      0.160770685999427,
      0.193003235795757,
      0.175847166255178,
      0.286562193550395,
      0.381762265155404,
      0.239169428578971,
      0.123332268463443,
      0.553386654134384,
      0.314571253015928,
      0.440523453075961,
      0.403689140822407,
      0.252356031270559,
      0.201404335979957,
      0.21656130640538,
      0.337687677034251,
      0.309316741689899,
      0.180769364922742,
      0.280135472737764,
      0.273459760114892,
      0.163321683781747,
      0.188161696697454,
      0.237770919672857,
      0.286794942867533,
      0.241855144688724,
      0.574831000136066,
      0.396304970064392,
      0.411696573738662,
      0.259751214474153,
      0.330058985728706,
      0.33301304393475,
      0.321270665824978,
      0.470512873065284,
      0.516544595639204,
      0.420908814845728,
      0.337871334447722,
      0.497995184285227,
      0.311736356459695,
      0.196670141288103,
      0.303129274030276,
      0.563876074909308,
      0.444768189484183,
      0.277279966179625,
      0.497067155595565,
      0.42570432962295,
      0.202711718506079,
      0.246835716148831,
      0.552255388932591,
      0.438290539460039,
      0.29285390770581,
      0.331027085306555,
      0.467004199678853,
      0.211565714147086,
      0.229033001615497,
      0.428337122373836,
      0.518870726110995,
      0.200439734307312,
      0.315492428654666,
      0.441303879797981,
      0.464313670684529,
      0.400266842735536,
      0.448217572055785,
      0.507056553088497,
      0.609521158771589,
      0.289038241969403,
      0.722796320363603,
      0.553925266669966,
      0.256068608106021,
      0.349644410687668,
      0.38336566841327,
      0.398562797629231,
      0.347511772927395,
      0.424080762285401,
      0.460478451067228,
      0.413217172522974,
      0.439490010428268,
      0.440782466726071,
      0.68208523793494,
      0.472469342510028,
      0.665907470802994,
      0.515380037350397,
      0.364744939867111,
      0.380843311850041,
      0.341739018030396,
      0.301377943896921,
      0.462862698460576,
      0.517842410628578,
      0.464895864582596,
      0.451379588728333,
      0.497396883016369,
      0.422313941146951,
      0.431719809476776,
      0.412162115215742,
      0.643506604457681,
      0.544151668946368,
      0.396498011152097,
      0.487341388387903,
      0.452977383271667,
      0.409524471002952,
      0.284297919011799,
      0.511952455029852,
      0.504174817085264,
      0.410064251154347,
      0.454772340720309,
      0.476970246386026,
      0.588623466475931,
      0.216049326806082,
      0.473579687075208,
      0.619838178008928,
      0.396578313523827,
      0.329814604568353,
      0.472557853818208,
      0.503623286038128,
      0.277059728884352,
      0.307547722126673,
      0.307159237219397,
      0.328645762797389,
      0.259587981992268,
      0.225398032457901,
      0.252689020335629,
      0.279182987409226,
      0.276088783463699,
      0.222431623406459,
      0.267491199499634,
      0.278650686413659,
      0.409391022352355,
      0.367292473696102,
      0.251299379249731,
      0.204465968495661,
      0.24941975718077,
      0,
      0,
      0.204953872049249,
      0.129287525554828,
      0.150793482996067,
      0.18041597818246,
      0.174187810492953,
      0.223071604882161,
      0.234342626440548,
      0.194135339834048,
      0.16329825162838,
      0.121687434084247,
      0.107612016192319,
      0.176371745907291,
      0.21483539616493,
      0.254437943159657,
      0.181784586397561,
      0.247682367958993,
      0.102205719700705,
      0.146552259537716,
      0.205083101949195,
      0.192792454676749,
      0.255443520281688,
      0.156341979997283,
      0.252364970290516,
      0.187813995644388,
      0.107224865145923,
      0.1900584306539,
      0.20460019504708,
      0.348186585745218,
      0.341803292605423,
      0.377198253496687,
      0.39945056285322,
      0.459420787437907,
      0.255348094410317,
      0.36786071253082,
      0.45193846121191,
      0.337639000883983,
      0.489188844291985,
      0.527832553608265,
      0.299745688056824,
      0.363567148355958,
      0.403136529044362,
      0.420717671196002,
      0.394206879997098,
      0.481056589700646,
      0.573915053074161,
      0.287390960993277,
      0.337055321432,
      0.518117907376294,
      0.332241949776571,
      0.315009160602132,
      0.380949817265819,
      0.506894966022935,
      0.202710807796778,
      0.28668860114474,
      0.469685263217298,
      0.3289812879755,
      0.426693925623358,
      0.344666306673878,
      0.545020719004015,
      0.335130374277689,
      0.314242945326976,
      0.31478703328356,
      0.468736237936018,
      0.376625107594627,
      0.352066209738981,
      0.428955953811027,
      0.384042108917049,
      0.390084023856398,
      0.258287478633317,
      0.395728494294758,
      0.438442555090463,
      0.268434113481045,
      0.32716052815024,
      0.385804314731469,
      0.465904839100515,
      0.303098767949516,
      0.322652216242167,
      0.502314728080962,
      0.272495813099878,
      0.258766991665689,
      0.286163006154115,
      0.505153544195331,
      0.228653630129416,
      0.417315391028326,
      0.421747625144707,
      0.33789793857104,
      0.329715902432995,
      0.432759926376084,
      0.505647039952202,
      0.504733972427627,
      0.511152239481654,
      0.406928004557353,
      0.362469492842336,
      0.464440879875724,
      0.476618461450575,
      0.32334745490964,
      0.361582951077599,
      0.56098012503326,
      0.406315428051951,
      0.304221225022757,
      0.520595390435688,
      0.400452591969805,
      0.224215938831244,
      0.342386368697553,
      0.549792542585564,
      0.334794736205222,
      0.236603283616944,
      0.424082835374038,
      0.458017747030128,
      0.260744096092669,
      0.204898560340864,
      0.517613484585004,
      0.457106522905438,
      0.271595872508913,
      0.358968796008139,
      0.490250351229554,
      0.546287394439471,
      0.220686677807334,
      0.505619483880077,
      0.458308792566231,
      0.250674561047443,
      0.366237913147427,
      0.420640498045048,
      0.438352613253024,
      0.174526766180632,
      0.324541559133344,
      0.374903030145594,
      0.339810349531706,
      0.45427814767319,
      0.368578153371761,
      0.436511515006796,
      0.146115669041618,
      0.393231577657638,
      0.361395683266009,
      0.501516448916572,
      0.447615778967665,
      0.590884045580391,
      0.395068034375646,
      0.313729778927483,
      0.355963642928738,
      0.223336025834771,
      0.253779852235132,
      0.485028067783759,
      0.555675380471076,
      0.468332690438161,
      0.414550780296952,
      0.483708945768907,
      0.368931541717081,
      0.520969145969277,
      0.488359096253388,
      0.597393533747291,
      0.475195246540146,
      0.417542160142776,
      0.495482540665145,
      0.42224598045268,
      0.363541756095679,
      0.303531706227787,
      0.553057759626112,
      0.47369110757523,
      0.423859079977997,
      0.438327516162772,
      0.471110331685581,
      0.559261166440133,
      0.320102534143312,
      0.540916452285647,
      0.525054917467429,
      0.388904891875412,
      0.253406284689439,
      0.483208598242664,
      0.492324528812111,
      0.349639110320235,
      0.344340726846862,
      0.576946702760106,
      0.446353348476913,
      0.40773053715098,
      0.447747726104278,
      0.48096442993916,
      0.295958680840519,
      0.301578112011603,
      0.588920572102182,
      0.53630933086264,
      0.364439605164218,
      0.385091991437202,
      0.481216908673346,
      0.306938540460768,
      0.328915890513301,
      0.427206872419201,
      0.511068286598974,
      0.463966250897873,
      0.465225972749892,
      0.349081867539826,
      0.27538157489556,
      0.395144387928663,
      0.568999420062508,
      0.570828817821442,
      0.502670717601515,
      0.567784235161191,
      0.350723304646679,
      0.297633966560117,
      0.597538690465411,
      0.385495594054682,
      0.266282508655831,
      0.410200735650187,
      0.531435304627095,
      0.385172007594895,
      0.286767328139225,
      0.485397680995827,
      0.426097685472813,
      0.236893226697527,
      0.347354892976135,
      0.537777193887421,
      0.544626037851307,
      0.254628903962755,
      0.330376468229263,
      0.461597873699867,
      0.246865623999647,
      0.340199766489705,
      0.465047729352587,
      0.513721557998227,
      0.255539440981481,
      0.254160482040891,
      0.462915400353791,
      0.348072766060703,
      0.498792831294866,
      0.343107570400479,
      0.363010542951549,
      0.330561286218433,
      0.369278453018742,
      0.384059429281479,
      0.468132877586961,
      0.207205361851069,
      0.313708738021675,
      0.402652465185968,
      0.447265576905531,
      0.388096353698744,
      0.395526285978368,
      0.39491140524306,
      0.326540496907671,
      0.310281412761336,
      0.247743010487355,
      0.307266328957729,
      0.456740778125794,
      0.493756726121348,
      0.317588397452889,
      0.37091190495416,
      0.429326510536742,
      0.321085418458447,
      0.3878608240012,
      0.551981287061579,
      0.512312373778983,
      0.282845917696984,
      0.320718903370417,
      0.523125412752875,
      0.239882009015315,
      0.377693779786265,
      0.415093113964364,
      0.556598993071196,
      0.203390324788752,
      0.335835311029704,
      0.470980641229266,
      0.42075585040372,
      0.443217593715959,
      0.38829506674387,
      0.514643279758615,
      0.339080867002489,
      0.363537028410323,
      0.294898536226454,
      0.461481629260465,
      0.403274898697854,
      0.272825997837675,
      0.392600612017644,
      0.410614184654461,
      0.38861910939808,
      0.342698667538166,
      0.464537061669079,
      0.457784044303584,
      0.373670323089723,
      0.31473270967448,
      0.48065874097364,
      0.459627272731343,
      0.240843692121789,
      0.305467095937327,
      0.525447911343005,
      0.337037473451351,
      0.308044031181207,
      0.38004261987585,
      0.522073864570252,
      0.413585367413546,
      0.415011522955764,
      0.471395734908085,
      0.298251866158843,
      0.379122285655374,
      0.23939514098386,
      0.460841761835811,
      0.297697652027657,
      0.504639126823262,
      0.421750977437131,
      0.23480519445966,
      0.455471135915591,
      0.344727570300373,
      0.253699907256614,
      0.476245479044917,
      0.570945824103763,
      0.418863470542123,
      0.305302282809022,
      0.515883298822593,
      0.351654437282811,
      0.271602089769203,
      0.344695358220601,
      0.541176929295928,
      0.357006939069431,
      0.293722771972667,
      0.437523716006306,
      0.479413210424433,
      0.426047649635771,
      0.383536146803059,
      0.580749149755337,
      0.464645396479462,
      0.563783526346039,
      0.358805194503504,
      0.514443129650785,
      0.438232981109406,
      0.460673641096713,
      0.347230303764121,
      0.489557164787577,
      0.237555851672798,
      0.369905345273434,
      0.4394138753712,
      0.48893855403955,
      0.405973256689794,
      0.39061164693707,
      0.425454889357661,
      0.485348366998546,
      0.291544942318539,
      0.502002855557468,
      0.504513198649714,
      0.296799656189482,
      0.334299322901347,
      0.353639995926993,
      0.39906600233987,
      0.405062335281967,
      0.456051706150643,
      0.454946890219241,
      0.455902442516119,
      0.445039534547555,
      0.370510321495204,
      0.691388517510778,
      0.520241007896222,
      0.619253700182575,
      0.455282300200078,
      0.395353859128334,
      0.479902411331326,
      0.363898890081765,
      0.378111016866163,
      0.487297852180445,
      0.560449559474608,
      0.455089367725519,
      0.455249591926711,
      0.484777249748189,
      0.409373087398902,
      0.384059449160545,
      0.310596474563887,
      0.582308653076805,
      0.524700438019449,
      0.421685398472763,
      0.39744633264233,
      0.472296006765852,
      0.427832508086004,
      0.185048370248363,
      0.190179729039067,
      0.229236233008307,
      0.195648962232848,
      0.217055356201732,
      0.350145439807299,
      0.253222276767413,
      0.144112692852381,
      0.558831396622835,
      0.354730661130633,
      0.38138607389903,
      0.401571400097524,
      0.190134034258769,
      0.21156225615729,
      0.254934740514006,
      0.292181197617872,
      0.326076493223765,
      0.179756120295622,
      0.291733553825218,
      0.264324878388322,
      0.181499937033729,
      0.221912279647778,
      0.266685501036716,
      0.278693372168065,
      0.243673768300556,
      0.561611357287585,
      0.375428273104423,
      0.392170370591387,
      0.300511761366758,
      0.368562088008501,
      0.340853483040437,
      0.35163676153444,
      0.486853748536714,
      0.535191924379292,
      0.412770155346287,
      0.349235139223368,
      0.511520411284894,
      0.392628627433953,
      0.261534582421441,
      0.347391360610341,
      0.538412743837909,
      0.398040589268076,
      0.279667982332514,
      0.4930909679134,
      0.441643904681905,
      0.205037246186758,
      0.223853523922523,
      0.524908192461478,
      0.446417604876215,
      0.267715622409563,
      0.32636437393865,
      0.487448136765245,
      0.236102485654779,
      0.240511654430978,
      0.460102744888473,
      0.453223723553955,
      0.227877457474761,
      0.401034917689459,
      0.480726460724529,
      0.469461140691002,
      0.415036731545613,
      0.422237144718437,
      0.457616380296709,
      0.547015839756818,
      0.330799110204101,
      0.488671081396436,
      0.496887125956936,
      0.28571955342012,
      0.387542957527589,
      0.355739968232513,
      0.363819651517199,
      0.408514456545768,
      0.409757222261459,
      0.462437218177089,
      0.430504469394618,
      0.378331532910409,
      0.429111175405521,
      0.715675635034011,
      0.504255683302138,
      0.577006240383059,
      0.407903476911542,
      0.339452598392423,
      0.416539693866544,
      0.364186286151308,
      0.307943193605668,
      0.47029561714247,
      0.547038094393908,
      0.446522044939484,
      0.444968337724472,
      0.523306516205815,
      0.426784421075286,
      0.480099994474736,
      0.430906127894208,
      0.588865756653262,
      0.488863286321557,
      0.423194766942578,
      0.486451378582118,
      0.439072262977697,
      0.377542933363579,
      0.322170341389767,
      0.530084141031764,
      0.497937097254226,
      0.429740217270279,
      0.457330757471309,
      0.475584816731733,
      0.569049434766306,
      0.310416777627062,
      0.49721185146291,
      0.528285015490461,
      0.392896135203195,
      0.353115393772391,
      0.495408275306539,
      0.511585756100546,
      0.322747774912,
      0.387579473674789,
      0.399209073478804,
      0.421919113542399,
      0.341942565154435,
      0.283138110744708,
      0.347426743020711,
      0.362865174646088,
      0.314362389380994,
      0.2953681148546,
      0.330835028604918,
      0.324786196341321,
      0.46767770046347,
      0.206820532805524,
      0.299163578337737,
      0.30895617026616,
      0.327370223457083,
      0,
      0,
      0.22513564855721,
      0.157894849125586,
      0.105562791957753,
      0.125049394938049,
      0.119386623234122,
      0.192474919532849,
      0.295006472735498,
      0.210419239027754,
      0.175251192529291,
      0.121045878148797,
      0.0842131382303566,
      0.126156995440956,
      0.251524890200471,
      0.274134413764459,
      0.167215365356142,
      0.257874749037389,
      0.15958247272266,
      0.129270314206485,
      0.22624132816926,
      0.20616971222841,
      0.241364344836799,
      0.15749287514837,
      0.237211495976781,
      0.143489036923937,
      0.12378009471223,
      0.187580001292263,
      0.208271636537411,
      0.336220668868207,
      0.310606929072234,
      0.3625520146465,
      0.346213988278528,
      0.377249361962348,
      0.229534525135048,
      0.322462376881828,
      0.473540323780667,
      0.343202554633699,
      0.452527645853689,
      0.509332266548151,
      0.274253724894963,
      0.334372633373898,
      0.396734443778207,
      0.428137753486453,
      0.404335773692261,
      0.443917450743434,
      0.586916582543649,
      0.268260362670998,
      0.338176874966101,
      0.511496678532607,
      0.338115477981001,
      0.304915168323897,
      0.365898546224142,
      0.54709267661993,
      0.198133940026516,
      0.281544025461562,
      0.425533052626999,
      0.320860307335324,
      0.452681208092041,
      0.301756070215042,
      0.537063332392747,
      0.383982175113902,
      0.334336741401107,
      0.315052785985596,
      0.44289462031736,
      0.373262854622665,
      0.317420224955127,
      0.413019748376389,
      0.430112956749553,
      0.430897324861897,
      0.210252612053883,
      0.328349634844634,
      0.418014260126798,
      0.256469256808136,
      0.352873555825371,
      0.395818203888037,
      0.431981338344904,
      0.273816454871668,
      0.329756276510267,
      0.458757258485334,
      0.187960585576947,
      0.210216167988226,
      0.299768496158102,
      0.475488943033398,
      0.224377340092754,
      0.391093378158968,
      0.380393738451642,
      0.22618116675717,
      0.323955008888384,
      0.397673905408371,
      0.536313300121843,
      0.429501830853313,
      0.502054801798915,
      0.382901027388786,
      0.3559684668859,
      0.441350528915163,
      0.408331733642542,
      0.326164687257827,
      0.342160701729298,
      0.55351452714939,
      0.391492628636789,
      0.365298666768133,
      0.502759861067155,
      0.365841842205414,
      0.226336170427681,
      0.359849574261739,
      0.553824181981838,
      0.32510207306316,
      0.25553678417192,
      0.380841626556292,
      0.445045438375501,
      0.249439950637693,
      0.236923603294379,
      0.508899408479243,
      0.45293183601243,
      0.244579453940081,
      0.325106408464984,
      0.457184499088372,
      0.550952466112642,
      0.299721906019742,
      0.48794561912708,
      0.510500330156868,
      0.253179846191555,
      0.318940607626795,
      0.379266110444593,
      0.401895774709735,
      0.15896662583721,
      0.291887021198595,
      0.417586167072081,
      0.334300216495783,
      0.425281990211456,
      0.375526759813216,
      0.376539746001989,
      0.149413946085225,
      0.406827422604454,
      0.27020205416253,
      0.471114162331783,
      0.442487245848434,
      0.568659153560268,
      0.348452541060651,
      0.342812370601229,
      0.373527692118258,
      0.238431821549665,
      0.279712509270122,
      0.437885388056557,
      0.544510736844646,
      0.479407866637492,
      0.426778213812159,
      0.460692186004419,
      0.360395173630452,
      0.5254828371129,
      0.459053712136659,
      0.612160750493429,
      0.417301807025054,
      0.338707751643928,
      0.460933914375696,
      0.39863743802536,
      0.346560924863853,
      0.280266827334239,
      0.579652132798526,
      0.507590868062674,
      0.436675695147082,
      0.455732834724296,
      0.455578693513185,
      0.516874812543936,
      0.22868895508742,
      0.520221933580044,
      0.50023075825462,
      0.388582272197377,
      0.234186026890458,
      0.454338015701749,
      0.48999746102488,
      0.259815652652453,
      0.328212678226419,
      0.544794634837454,
      0.458413042734159,
      0.436399614244672,
      0.46202150342917,
      0.447711413711215,
      0.195007503170726,
      0.222794004352002,
      0.554994891216805,
      0.474231139669668,
      0.290692676694153,
      0.350886533651674,
      0.425498920192146,
      0.25761760298559,
      0.31879115947383,
      0.425094920069815,
      0.456418832935997,
      0.471237106194955,
      0.464951029124255,
      0.340101799443274,
      0.302924155871208,
      0.418909351031079,
      0.555002886673769,
      0.553446597501423,
      0.465809674783382,
      0.573574943016554,
      0.308481319632775,
      0.258079646371504,
      0.603744319691999,
      0.330725676515592,
      0.243025966850034,
      0.397460064439447,
      0.550366254657311,
      0.392988699923052,
      0.253052300084157,
      0.476621790422084,
      0.387936055954002,
      0.204517145728384,
      0.299098310121148,
      0.537441188011069,
      0.547719445237561,
      0.21178885716198,
      0.266528560726004,
      0.460638705536996,
      0.247949890758792,
      0.33421946220647,
      0.462109387470924,
      0.523744329711481,
      0.302544403799696,
      0.242613495025136,
      0.425273823712762,
      0.328816101748588,
      0.454376027951063,
      0.34315261529102,
      0.493918180230386,
      0.322957136332677,
      0.334857691855877,
      0.337512533986369,
      0.420584854419174,
      0.2163535114347,
      0.251180504513243,
      0.368380567615533,
      0.396256797185242,
      0.346483587863063,
      0.380199330993154,
      0.328177291088846,
      0.352812970152013,
      0.267887949858799,
      0.250192919108767,
      0.352817659892754,
      0.4187469405443,
      0.500440527678443,
      0.34878916570219,
      0.379997268398156,
      0.427646565894297,
      0.304273954753034,
      0.320655929867265,
      0.476055465530669,
      0.563612785013508,
      0.22592725427812,
      0.346771668433986,
      0.512158788663705,
      0.182412371794996,
      0.39451788232446,
      0.361191044380073,
      0.560997431948914,
      0.208113786928679,
      0.381830400884494,
      0.441872831897462,
      0.392818369789386,
      0.368645119237547,
      0.350188081294276,
      0.516414039005123,
      0.321610678126162,
      0.331966400841644,
      0.229162167158223,
      0.41066305602815,
      0.387075058350287,
      0.20988540882227,
      0.376021150392835,
      0.426465447634169,
      0.352849062417092,
      0.368578619342412,
      0.411259219970695,
      0.423289682245572,
      0.324281125818007,
      0.314813742046075,
      0.467661819125353,
      0.421921512235932,
      0.222541131750429,
      0.302402746206436,
      0.471399399406465,
      0.217767108152707,
      0.215062997082947,
      0.290857256962884,
      0.483814660074056,
      0.366371462930923,
      0.40846798368165,
      0.437538020160229,
      0.288221897247903,
      0.352675615297612,
      0.223795791451162,
      0.444286724178394,
      0.243754066294692,
      0.511493829606585,
      0.417814710047841,
      0.25194943909549,
      0.45011829423955,
      0.337476145716467,
      0.227405262328826,
      0.47338934378298,
      0.583937283115502,
      0.411746101628784,
      0.317615294636634,
      0.473442082222961,
      0.31735401488121,
      0.244655393331491,
      0.308884473867733,
      0.549484167176431,
      0.376147467192153,
      0.259286395872324,
      0.386527743995404,
      0.421586097144688,
      0.423516741820594,
      0.372208827311338,
      0.534882620886994,
      0.451051448560106,
      0.540232371991705,
      0.232138235395683,
      0.459346003449788,
      0.417739566284794,
      0.433235560702598,
      0.341269832358529,
      0.503299161786419,
      0.230994128274557,
      0.330543389570521,
      0.387524244772796,
      0.482406377467372,
      0.382935530882222,
      0.410479046100825,
      0.458175912539836,
      0.401618848535637,
      0.309643016282614,
      0.489878625791229,
      0.453618086354678,
      0.256482179087668,
      0.32861226264191,
      0.347450853959081,
      0.363675158857436,
      0.38210955577978,
      0.450461590723187,
      0.484616722364745,
      0.429171920707562,
      0.417895362730967,
      0.359632096639444,
      0.638647408169754,
      0.488520153861173,
      0.618204521568745,
      0.434276452409386,
      0.335060225829951,
      0.456482221346699,
      0.342244789885203,
      0.347360466089385,
      0.475670708492343,
      0.564909679453773,
      0.507095846031385,
      0.471879338971168,
      0.514503567926613,
      0.393200607745961,
      0.388650569790706,
      0.22783631679428,
      0.570082977378253,
      0.481437790157627,
      0.359831382163495,
      0.350508858253619,
      0.452921117692174,
      0.392177256508623,
      0.136435067788918,
      0.194645849805577,
      0.282783205202861,
      0.21684359124965,
      0.232208489268853,
      0.346750944718018,
      0.224917529138815,
      0.148039719761271,
      0.548883486153124,
      0.410309169411745,
      0.40212584329063,
      0.433441472802545,
      0.231143499332981,
      0.175665919210773,
      0.216126308285666,
      0.301972733398753,
      0.353141228302491,
      0.259094978411697,
      0.285301724573951,
      0.241914289652442,
      0.204664323492152,
      0.246667167453913,
      0.233005030440029,
      0.29039674829647,
      0.25930460277388,
      0.558664994862366,
      0.373040358860031,
      0.386203458284783,
      0.288981036669502,
      0.379611095561677,
      0.339753385747641,
      0.31416086783968,
      0.44647043295265,
      0.55417779940621,
      0.40428644293244,
      0.33580161743236,
      0.488362672726553,
      0.313600781645555,
      0.162289998066977,
      0.328936322419452,
      0.563580499528526,
      0.394713436506791,
      0.267365623729556,
      0.470363470076152,
      0.435359240649165,
      0.214861976698119,
      0.240093347787382,
      0.532499156909546,
      0.411082094188888,
      0.261925358503961,
      0.281685302041937,
      0.467505028286257,
      0.251384491073965,
      0.217967715018498,
      0.433114316315405,
      0.514995347887187,
      0.237619536967405,
      0.288493561727204,
      0.436819152198119,
      0.469570213223466,
      0.372000671379354,
      0.410380009630063,
      0.496795067730021,
      0.426262153930393,
      0.218414565861586,
      0.478743474403202,
      0.457441910580835,
      0.261861931355072,
      0.287483069041168,
      0.39025999877676,
      0.344887948736839,
      0.367876174124581,
      0.379497895719771,
      0.477692379748127,
      0.428295407881853,
      0.388551702121206,
      0.402312094342453,
      0.65805567113165,
      0.471476644618313,
      0.576032441325604,
      0.396527659141612,
      0.309146387152515,
      0.412002281752421,
      0.36462357817655,
      0.281824315019488,
      0.438239453595542,
      0.545005773984967,
      0.48535782942938,
      0.451278145385499,
      0.51487820648831,
      0.400508962782145,
      0.484388708478255,
      0.411224271190462,
      0.605749130271143,
      0.426948111592504,
      0.356351744039652,
      0.428109124211909,
      0.422815798042079,
      0.356388322151988,
      0.269572047071382,
      0.551716559933945,
      0.50938400814765,
      0.467338909799748,
      0.465161640127269,
      0.471621797789185,
      0.52984287459091,
      0.214350333996771,
      0.451838184038004,
      0.52100642219935,
      0.367515519698863,
      0.28635191538414,
      0.419300871991227,
      0.482560048680303,
      0.232756761137415,
      0.240053792420364,
      0.211988390297082,
      0.198764076852045,
      0.205447026494786,
      0.222146012185804,
      0.20142600262711,
      0.226211325389953,
      0.221092263652313,
      0.13141755122204,
      0.21585131757121,
      0.236594413334747,
      0.43058173927243,
      0.17398893349104,
      0.185352599096782,
      0.152443421409216,
      0.242036248149495,
      0,
      0,
      0.168153287859349,
      0.0702391895484232,
      0.0721096986411632,
      0.132867072041266,
      0.119565784827326,
      0.177847244287552,
      0.241046550892646,
      0.179173842588975,
      0.120784191644159,
      0.0691833407046291,
      0.0476281060032539,
      0.130037541419838,
      0.13776218296268,
      0.255157086005367,
      0.0899347868611015,
      0.257856072493018,
      0.0992627320816932,
      0.136352063308728,
      0.128345958023896,
      0.172586235832693,
      0.203882237331237,
      0.0764820430247955,
      0.243710034862404,
      0.131931322009042,
      0.113123555126575,
      0.147174177938343,
      0.170863681106275,
      0.361027773613232,
      0.38614499875935,
      0.416820113627539,
      0.389283657068183,
      0.448573707384118,
      0.312495977481405,
      0.377777918331752,
      0.463201925790927,
      0.401493240449042,
      0.518397745890443,
      0.487126941049306,
      0.304602802214735,
      0.361653784931888,
      0.513040462863442,
      0.430910018757408,
      0.451515169691464,
      0.547511768735309,
      0.559903189975543,
      0.261182069101497,
      0.307187026334155,
      0.6019836323545,
      0.404152650553541,
      0.262507605256197,
      0.486986080385621,
      0.562342006836856,
      0.292136264904936,
      0.267260681344484,
      0.525009639828575,
      0.401363767372836,
      0.458483163155976,
      0.391375860350537,
      0.567667262265906,
      0.451526702034938,
      0.377707731954404,
      0.346455311925593,
      0.549947656576496,
      0.449239207497567,
      0.401684106813511,
      0.43814727130629,
      0.505385544650067,
      0.466065835985239,
      0.193250263525299,
      0.396834034417761,
      0.508144201201213,
      0.281899642008588,
      0.327371403741692,
      0.505282695615366,
      0.506420021128565,
      0.279875759153862,
      0.319201635389204,
      0.565144767299265,
      0.211154069013179,
      0.321555089926828,
      0.36569165972893,
      0.56113934528366,
      0.257359656179008,
      0.4144401871837,
      0.422393634750971,
      0.228198868420009,
      0.404684567529059,
      0.395711578264474,
      0.532384459943348,
      0.521554831295842,
      0.508454366302892,
      0.384791120576134,
      0.389490178572932,
      0.539549093854227,
      0.430532125940438,
      0.392822280440792,
      0.417029977382996,
      0.586447634205503,
      0.434810049065966,
      0.367313794118707,
      0.570080087299096,
      0.406907024736093,
      0.256920892506549,
      0.435279500986338,
      0.55653175985427,
      0.417582578579105,
      0.28391387445501,
      0.49147165149269,
      0.531537481483357,
      0.242478198802894,
      0.259743872905788,
      0.545849208426791,
      0.57890575049314,
      0.223541735853196,
      0.335129279886477,
      0.552133091092241,
      0.518916590008554,
      0.269632662706202,
      0.503761271504825,
      0.615161832848798,
      0.267957422318361,
      0.288662638037111,
      0.417837879848608,
      0.485432585851826,
      0.208414135386315,
      0.315639678195769,
      0.576484620169213,
      0.379986124281671,
      0.442231136736291,
      0.384634914838573,
      0.458541468412896,
      0.167476260575129,
      0.377316030808901,
      0.307059399265711,
      0.574903983638649,
      0.501074002216459,
      0.566854930298978,
      0.378967472091719,
      0.310102061543487,
      0.459278747159478,
      0.276381292518048,
      0.320249533905628,
      0.535685396453528,
      0.520718767954415,
      0.465742866705376,
      0.375125623894473,
      0.562433119690482,
      0.372092583651836,
      0.525782369270837,
      0.577849488421892,
      0.572510182847767,
      0.332167395552692,
      0.379299069836927,
      0.543631600865985,
      0.458806023478894,
      0.362486706566821,
      0.358679125453879,
      0.595020340510772,
      0.496982928469387,
      0.434682292124755,
      0.453158364291489,
      0.529798317240506,
      0.521097172468235,
      0.147223757263185,
      0.534025490027125,
      0.584750047628458,
      0.389062599200466,
      0.225634370599562,
      0.535420485946505,
      0.533703201944339,
      0.305206012816258,
      0.35711522324046,
      0.564558833999824,
      0.455129370861925,
      0.422849856587526,
      0.406151621660325,
      0.5564402780613,
      0.2322438244697,
      0.262555228127865,
      0.537866598115738,
      0.572309006315029,
      0.352158504282172,
      0.387875008635731,
      0.497671081182871,
      0.266454632489679,
      0.368473825705312,
      0.390027646434767,
      0.489206838388346,
      0.461730586904802,
      0.470223243796432,
      0.323316740166968,
      0.23575174859713,
      0.519351151362767,
      0.51139054264095,
      0.600201484565099,
      0.548795016154173,
      0.55237013283389,
      0.308958154640325,
      0.268519105314515,
      0.602117359325096,
      0.406973376992285,
      0.275788082250387,
      0.494275035492975,
      0.553818271570826,
      0.418444721801993,
      0.233572807647936,
      0.539328100010659,
      0.474178614451248,
      0.218446739358869,
      0.33327875847598,
      0.576197074030478,
      0.566001403482964,
      0.200251569580513,
      0.368650282813591,
      0.564957381704993,
      0.314364378373324,
      0.314341328599854,
      0.491967317303619,
      0.619040332682999,
      0.291645339316164,
      0.212796364046667,
      0.48878124816325,
      0.410175687133615,
      0.440324824037301,
      0.327176207408199,
      0.618925730946263,
      0.35958116848989,
      0.3154578060796,
      0.318455885633459,
      0.533757301336989,
      0.238278249899135,
      0.265240210027576,
      0.49436932820294,
      0.396427602340873,
      0.398205236262788,
      0.375330626048443,
      0.364252829362059,
      0.425665502645726,
      0.333891263085779,
      0.250630210178606,
      0.376366175205559,
      0.490322347153335,
      0.481656787944629,
      0.32289440150435,
      0.30352231414303,
      0.521760603662471,
      0.277048094733748,
      0.364840770737042,
      0.572297855804764,
      0.567585023044182,
      0.272723689766416,
      0.381913009150864,
      0.584118214925636,
      0.274335287794737,
      0.445889339277457,
      0.471564151467478,
      0.594627347928244,
      0.282661387435813,
      0.381548408218273,
      0.52782064170784,
      0.49272512011853,
      0.372359768386514,
      0.459476344214776,
      0.569095139634118,
      0.45116349147764,
      0.35363572167037,
      0.297380923812168,
      0.491778500978698,
      0.441394089353866,
      0.231829025449405,
      0.423855747423997,
      0.50998060036256,
      0.364873220875308,
      0.362374279138312,
      0.457512073773697,
      0.555334772159685,
      0.39689823401708,
      0.328218888912941,
      0.568846904730153,
      0.505944051858847,
      0.192993460589426,
      0.286176144353482,
      0.542799394253038,
      0.335166573824495,
      0.254920393383545,
      0.322539972971253,
      0.572139153716705,
      0.43074508144497,
      0.393815835616127,
      0.473174946933868,
      0.333288226261015,
      0.394644539397682,
      0.25917539422035,
      0.538637318552248,
      0.33792376172895,
      0.534101700118977,
      0.432714778196939,
      0.279613336422945,
      0.544684126141139,
      0.363926763336782,
      0.247327459651115,
      0.547513193926647,
      0.568808029680212,
      0.388769009610532,
      0.324279045175057,
      0.57273410486835,
      0.412641841387529,
      0.283475881374624,
      0.426114755505102,
      0.589014834214942,
      0.465315055342115,
      0.231081290225588,
      0.478993952414117,
      0.526118464952816,
      0.428240652835171,
      0.34471268352689,
      0.541144179924606,
      0.584130044213848,
      0.560131293779943,
      0.240166613117479,
      0.531590642752792,
      0.473881667895027,
      0.438700581910306,
      0.363304688335731,
      0.641851467904657,
      0.274544535297962,
      0.331763301501053,
      0.410779839717378,
      0.530999598890226,
      0.393452957516845,
      0.410037419905549,
      0.607675312900381,
      0.479520859046126,
      0.320882954353319,
      0.417186529224465,
      0.529792091897515,
      0.250564128826945,
      0.364873434600865,
      0.326699279266222,
      0.414291756366636,
      0.461138771463826,
      0.447079417745439,
      0.432924083971583,
      0.411747602319411,
      0.488933075748759,
      0.362695324798247,
      0.579364861771138,
      0.565189069567873,
      0.592298665026134,
      0.350891053578918,
      0.362609798948388,
      0.571378661429286,
      0.357566622881011,
      0.330191990746754,
      0.560402636917374,
      0.583247472249096,
      0.48711679548909,
      0.431259022662683,
      0.553681506058039,
      0.437718868815619,
      0.390366652389862,
      0.224556090447204,
      0.563825776082648,
      0.482866963265275,
      0.383116637856096,
      0.457748151468199,
      0.567729477706065,
      0.446998611062707,
      0.121576779134111,
      0.172153450319008,
      0.237181916199424,
      0.23576722418493,
      0.208595936583059,
      0.355768692439395,
      0.244092081143986,
      0.198737132555614,
      0.577331236685262,
      0.422510851027857,
      0.390391573978412,
      0.405946046394168,
      0.212489019765974,
      0.143570180687221,
      0.231805863103798,
      0.315190964622712,
      0.379918111794645,
      0.263666579973961,
      0.257803665447143,
      0.194384945052259,
      0.251441253853548,
      0.263564808256728,
      0.231128697454691,
      0.255633329431875,
      0.273061555020019,
      0.562865636506329,
      0.352267460085109,
      0.37571161945949,
      0.277713898548807,
      0.465778387682556,
      0.377605347303508,
      0.383562173120697,
      0.525147200052739,
      0.535854988357014,
      0.419489128011568,
      0.322761136472243,
      0.583255413495774,
      0.368994862199021,
      0.207502219508711,
      0.365858707450025,
      0.582537698328721,
      0.4110486573515,
      0.242628366988419,
      0.540461974430281,
      0.498966339073047,
      0.21401594008099,
      0.276630169622555,
      0.562516274379048,
      0.545444466287537,
      0.240513923094589,
      0.375267302093448,
      0.57885452659516,
      0.282264904886743,
      0.225787707033881,
      0.519287488886259,
      0.626456181672493,
      0.234388350583148,
      0.254342989196963,
      0.5007844691144,
      0.503892629570028,
      0.370200612100885,
      0.41944748211522,
      0.62448386728639,
      0.539449986904696,
      0.24160069558947,
      0.416114086483084,
      0.554632405102286,
      0.268821091266214,
      0.349981475486874,
      0.488608680398423,
      0.382608791934996,
      0.410059684711375,
      0.385666873230838,
      0.452825397875761,
      0.404522813273029,
      0.428779291461611,
      0.382783370978941,
      0.618459550997391,
      0.555220624953375,
      0.561696002978493,
      0.349067892395913,
      0.336426098154951,
      0.514168252233104,
      0.355729900016118,
      0.270417693593826,
      0.53620681750229,
      0.542887269316533,
      0.474363227066561,
      0.400797265615115,
      0.573470187332869,
      0.416064735626531,
      0.478620571354177,
      0.51964298155357,
      0.560337033679431,
      0.391947965472771,
      0.362392331440496,
      0.516245861118986,
      0.518388385543174,
      0.399443541359906,
      0.249120263009758,
      0.587302207308457,
      0.521851489882328,
      0.44114282188169,
      0.418805381121818,
      0.532033365610802,
      0.543640586338135,
      0.128605083936319,
      0.462723924659289,
      0.59026082406842,
      0.40356445832815,
      0.321808439501904,
      0.461431209020096,
      0.572418101281107,
      0.260132833575457,
      0.284519130230912,
      0.243689006545964,
      0.245468702994299,
      0.242279365914974,
      0.245545087107159,
      0.244101147937155,
      0.27245116806974,
      0.231419126113522,
      0.15816173702865,
      0.248422112303411,
      0.243631200847531,
      0.428712933147263,
      0.258499358358038,
      0.16020754799715,
      0.134043600899754,
      0.211802059991466,
      0,
      0,
      0.196065643035809,
      0.0846682390576735,
      0.0719467478251242,
      0.0725599267419372,
      0.0969688365521086,
      0.24036401297135,
      0.187214674192694,
      0.230367288504772,
      0.201824091934815,
      0.0723162840642713,
      0.0682721414743326,
      0.0977832266235065,
      0.118966728149404,
      0.227516363675162,
      0.128458644610079,
      0.156587945826447,
      0.0940974263267776,
      0.142199573552286,
      0.0795456808226746,
      0.0862678974711711,
      0.224534777499885,
      0.111894639389645,
      0.139174281281589,
      0.13170771402717,
      0.0997427751989577,
      0.108362716268117,
      0.11347907611441,
      0.312441139445224,
      0.394404234442588,
      0.411809510845317,
      0.325171225264653,
      0.450661031331034,
      0.249760646929855,
      0.381233466110894,
      0.450616816499813,
      0.414026506771684,
      0.517124310006207,
      0.439393694120392,
      0.314668159978144,
      0.370169914421481,
      0.521214216750148,
      0.405815100934634,
      0.412416367041298,
      0.541771558907133,
      0.547452847048997,
      0.245107941338825,
      0.348406300110293,
      0.61086884397488,
      0.397481991892242,
      0.304386723486075,
      0.46359346142863,
      0.557616528587348,
      0.310889779642877,
      0.259618305498793,
      0.542950368616705,
      0.389573518736627,
      0.451021963082601,
      0.244636507510892,
      0.573254054017436,
      0.417055401464883,
      0.343155759191988,
      0.369188623824501,
      0.532974709341916,
      0.420235158638517,
      0.395815631884432,
      0.43244477026784,
      0.492020316805062,
      0.478275593972854,
      0.191533952541417,
      0.413196232683116,
      0.51525512981171,
      0.228662692114649,
      0.297410563850887,
      0.497406681417064,
      0.497429854474115,
      0.280854079798371,
      0.355629433221524,
      0.558799901478631,
      0.218440752243689,
      0.361239779202864,
      0.362746143199618,
      0.542524598539945,
      0.250443187221953,
      0.415818469135537,
      0.417224167259375,
      0.195199679653694,
      0.411911072493008,
      0.392822514326033,
      0.513097174691469,
      0.512383341387297,
      0.501655436190177,
      0.398444191390637,
      0.398856807422563,
      0.545424685409653,
      0.436691865828367,
      0.411606974462241,
      0.417064447174926,
      0.542760744698806,
      0.433249477460607,
      0.322205880744014,
      0.591793545473846,
      0.419802892577041,
      0.222331576716291,
      0.416681887315194,
      0.580099073928436,
      0.41669126338199,
      0.342385261025328,
      0.497036101855599,
      0.527593314801059,
      0.233664927165769,
      0.140964641371362,
      0.561154214070877,
      0.566234380170457,
      0.204791224818756,
      0.314533383470539,
      0.535439295481126,
      0.508978860433731,
      0.194936953197039,
      0.500484337369169,
      0.583352473974401,
      0.249108931734861,
      0.261780626197947,
      0.429752745666076,
      0.466284727181129,
      0.224124368467912,
      0.359523326453779,
      0.534702648550426,
      0.379305091098223,
      0.38060364853628,
      0.351746751275892,
      0.474185646804893,
      0.185192448640689,
      0.362771723815758,
      0.366375843330807,
      0.55945128856441,
      0.469770083970899,
      0.561677732269494,
      0.353593951484771,
      0.306477707664168,
      0.456485102656288,
      0.298676789187113,
      0.358463111315799,
      0.543461738038329,
      0.497575379164584,
      0.448340271871342,
      0.405046096988162,
      0.567929283491026,
      0.388684901485364,
      0.479868456092993,
      0.553123016277376,
      0.53371265874789,
      0.351206309297387,
      0.372229852661581,
      0.588695685315067,
      0.476007513702384,
      0.346299832836237,
      0.337326212771346,
      0.582176307067751,
      0.525940593699963,
      0.434752761817367,
      0.464377777356213,
      0.512315109665765,
      0.493235855483908,
      0.12178594605975,
      0.539903180186004,
      0.580165701195454,
      0.413492311680129,
      0.253186897746535,
      0.517650793720541,
      0.523470256887433,
      0.281960648961236,
      0.323104076968285,
      0.598523654471046,
      0.491987939343489,
      0.428859065594408,
      0.421375592862185,
      0.540890436211659,
      0.13891699108315,
      0.282523873937799,
      0.509794608260879,
      0.574540159396792,
      0.390853994775143,
      0.37555728780572,
      0.482169335115919,
      0.297221472272978,
      0.352963278066871,
      0.41494679259322,
      0.503006388579267,
      0.47692291068387,
      0.434172549342558,
      0.325785211468786,
      0.259924731246187,
      0.511010566760228,
      0.489566433145792,
      0.590221521626791,
      0.558205891627288,
      0.493429352035203,
      0.320675713611122,
      0.252729383759553,
      0.577066119297389,
      0.383670556969249,
      0.224261495787394,
      0.478058352524216,
      0.553545007782292,
      0.421445120160076,
      0.222688543428833,
      0.540109650864263,
      0.474790149895758,
      0.192089252334615,
      0.370605569002752,
      0.582579353271502,
      0.532372665256842,
      0.203803468429661,
      0.372134736430178,
      0.549227225503984,
      0.288836604480082,
      0.236442689108146,
      0.491929090798563,
      0.581192951934906,
      0.32012906972317,
      0.237247389454308,
      0.502120830681135,
      0.393877085343567,
      0.448213431921977,
      0.365052378968486,
      0.57628174063951,
      0.328969680423905,
      0.319498202039,
      0.328017646041548,
      0.536803469126972,
      0.130504464339567,
      0.254923337977646,
      0.4783019308022,
      0.452763194642782,
      0.414163034697272,
      0.356330584319995,
      0.366832482876803,
      0.356541028397098,
      0.338730668359158,
      0.168648839328984,
      0.350309699433492,
      0.489119451085515,
      0.485321744942499,
      0.322342929739499,
      0.270320934083489,
      0.530610451980557,
      0.282815679326494,
      0.450102835551869,
      0.606382912893182,
      0.52588378051027,
      0.278279285702414,
      0.380317400840421,
      0.608301634989677,
      0.269056608688142,
      0.423085442843536,
      0.457446867937932,
      0.582363362383606,
      0.285419700598085,
      0.368208643058467,
      0.543675657242222,
      0.514533890024196,
      0.353145639747698,
      0.460989169406487,
      0.583655000657989,
      0.430541557417268,
      0.38032172736423,
      0.372962878415923,
      0.484361922157671,
      0.468786385411798,
      0.283051437703364,
      0.445603670933034,
      0.494906846166591,
      0.387584060427547,
      0.476443265978625,
      0.453749359627249,
      0.556452954915199,
      0.413913504655859,
      0.325426795017017,
      0.545937479442922,
      0.503145159355758,
      0.214089925077207,
      0.334862515447305,
      0.545197361607472,
      0.367016872929686,
      0.24253430363142,
      0.327188863056163,
      0.556964007755852,
      0.416940460154834,
      0.385538126101567,
      0.456378820668502,
      0.384881644260633,
      0.405233623386502,
      0.261118395830244,
      0.501665772686238,
      0.353611161913135,
      0.50625333936625,
      0.38719976571701,
      0.261655647686873,
      0.542750647805244,
      0.415620964395264,
      0.277026630416734,
      0.582198117148827,
      0.510400546980542,
      0.385794581929322,
      0.313243169872934,
      0.578843637578463,
      0.430112379531964,
      0.262905450709364,
      0.393054048953646,
      0.587668887622188,
      0.430683828027983,
      0.268116402257305,
      0.499969997115139,
      0.523428985440675,
      0.426654540038654,
      0.373443428890069,
      0.547107369335388,
      0.567175822015786,
      0.568608440129979,
      0.251840970390754,
      0.542940135216781,
      0.496366743856679,
      0.422128107517201,
      0.378860574954525,
      0.650986317145594,
      0.266142244278522,
      0.353433956955962,
      0.420387135041652,
      0.511078491578894,
      0.426274988850426,
      0.397964434679313,
      0.567950492169599,
      0.443611608052077,
      0.341128670830688,
      0.416251144184042,
      0.51394648205623,
      0.25716219893114,
      0.377075124878408,
      0.325206565132176,
      0.389694027383813,
      0.439953263223593,
      0.413198517216516,
      0.468466382705924,
      0.396045028133935,
      0.487738528113203,
      0.329044294228834,
      0.535926942877517,
      0.571023279165817,
      0.532331526521401,
      0.330248353865437,
      0.357795043817325,
      0.571050299795027,
      0.377598850401179,
      0.333646280231046,
      0.534807686597328,
      0.549225502930094,
      0.493449502233455,
      0.430064102947841,
      0.554214485688374,
      0.453744298932563,
      0.358079136390087,
      0.210406537407973,
      0.579452721891001,
      0.439824609710776,
      0.404256844504913,
      0.468423320720336,
      0.551969879540528,
      0.436207723387442,
      0.0951416165164216,
      0.0993038058360379,
      0.173080635113412,
      0.228694094486041,
      0.235408324582986,
      0.350743659637311,
      0.251174666151787,
      0.186866467074316,
      0.604100873106516,
      0.454302662146736,
      0.411365981663208,
      0.476162926893156,
      0.201963839317408,
      0.172166006219037,
      0.241325845491432,
      0.315700436044992,
      0.410567027301005,
      0.254326027169496,
      0.211090876644456,
      0.201921888926934,
      0.226803851126758,
      0.279485024784637,
      0.222073665140434,
      0.317271260822154,
      0.286213500225556,
      0.552203746424354,
      0.363680927017092,
      0.358426970121701,
      0.327523829263103,
      0.474740262350682,
      0.399314378798682,
      0.358720222809145,
      0.530404382819803,
      0.510656719710263,
      0.37963666838809,
      0.308828900080369,
      0.583125237991685,
      0.361425581058325,
      0.196142118179954,
      0.373605968708385,
      0.544990430186179,
      0.436690257705426,
      0.257763196039893,
      0.576475171810263,
      0.482938882480735,
      0.232722450110353,
      0.270238020480322,
      0.593519877391062,
      0.51326999606468,
      0.291135848095584,
      0.398260654441656,
      0.562492204710202,
      0.313817498747831,
      0.275037869451215,
      0.522989152284608,
      0.581875816549937,
      0.211035438773581,
      0.318985921421206,
      0.494821023671618,
      0.488851066022244,
      0.383298885409577,
      0.44062852795731,
      0.589303451943946,
      0.49600476694652,
      0.286387346009805,
      0.424114393796449,
      0.536483765716513,
      0.272940236756347,
      0.34477200474269,
      0.440967144716352,
      0.407619721170758,
      0.412461322939322,
      0.363640568919481,
      0.44748398721227,
      0.409055348893835,
      0.424299119260047,
      0.387478844732446,
      0.579999433536592,
      0.534510179370546,
      0.524680860750686,
      0.335592930063297,
      0.34814147292079,
      0.517523124146358,
      0.376313341421345,
      0.257449511871909,
      0.529124451722436,
      0.489735595811903,
      0.460794608457283,
      0.41069805683085,
      0.581656656709662,
      0.438503764514695,
      0.418113510348677,
      0.490388466035069,
      0.548100267737137,
      0.383477076444881,
      0.400444576229526,
      0.540930143960504,
      0.51155214279651,
      0.36455402571999,
      0.258875419613485,
      0.601200805611346,
      0.557371359958653,
      0.417699528735522,
      0.419449079448947,
      0.515790585346546,
      0.513280159451958,
      0.143856742234661,
      0.487724552509637,
      0.578800920164128,
      0.419567250885616,
      0.319717858625465,
      0.464346569152332,
      0.564246809806247,
      0.177899625701195,
      0.197132407984535,
      0.145228809028394,
      0.137010087883356,
      0.156278934237236,
      0.20371963193467,
      0.136256564847295,
      0.123673497993499,
      0.195857675656701,
      0.112535221532479,
      0.207962217976216,
      0.194142540386053,
      0.372384147065694,
      0.241149120801611,
      0.184070925223038,
      0.168869105496971,
      0.223109936286854,
      0,
      0,
      0.153353162450218,
      0.136279872046138,
      0.099248392065343,
      0.0528544046767003,
      0.107282466041135,
      0.20666993102522,
      0.159591532128324,
      0.204673723455762,
      0.151404370837898,
      0.0824082430778415,
      0.0425354868873602,
      0.120010808363015,
      0.08570734356315,
      0.198039508641648,
      0.0948189244125206,
      0.13827538561749,
      0.0834490613268195,
      0.0792558845626222,
      0.0839413338590495,
      0.06540314979597,
      0.189092567394349,
      0.0634552993750812,
      0.142826047233633,
      0.0902454102231875,
      0.0753499009722348,
      0.0721979898909296,
      0.0721720910348367,
      0.330592515192199,
      0.373093499352354,
      0.373070181765896,
      0.3466564798332,
      0.425833928886374,
      0.22258923125086,
      0.367056514252169,
      0.467350634902143,
      0.409219446574618,
      0.530644452602985,
      0.439879730296704,
      0.301191881480097,
      0.404129706931637,
      0.496340022588967,
      0.380773742980985,
      0.428982872870602,
      0.490397978939443,
      0.514235214710974,
      0.270904635585572,
      0.401103190909357,
      0.57684142153657,
      0.366887325121229,
      0.344561425054112,
      0.401371423276586,
      0.550668449516748,
      0.250223460319462,
      0.275085266743636,
      0.500009166877367,
      0.337869069347255,
      0.457190108950529,
      0.244185418093331,
      0.523102915115179,
      0.403311199878812,
      0.354836334953113,
      0.37979244961767,
      0.487797758809764,
      0.369655021580445,
      0.426449953628807,
      0.400514247409582,
      0.436400179587512,
      0.469335036297876,
      0.189428601024468,
      0.412880133295444,
      0.477973093392263,
      0.25719490755825,
      0.356541330095893,
      0.441754879284332,
      0.453322205242468,
      0.303960940340374,
      0.392764908562047,
      0.508752295739956,
      0.303369286332586,
      0.283534225167699,
      0.354397095315429,
      0.493101036756131,
      0.212571437958532,
      0.410662605547829,
      0.415343922010878,
      0.206109859038265,
      0.368697270678179,
      0.435220079928308,
      0.515494367804905,
      0.451093626693326,
      0.49293251083103,
      0.395604967532237,
      0.365216581490607,
      0.512038453009112,
      0.443827182798791,
      0.385882018931739,
      0.409074151300819,
      0.520243277395682,
      0.452379351197314,
      0.38219664696496,
      0.563103632646918,
      0.450103327405922,
      0.274782555703089,
      0.366031430334501,
      0.557036411834086,
      0.355934274567226,
      0.342633288337231,
      0.460397719783006,
      0.487732521166911,
      0.253386120077438,
      0.146260030894806,
      0.537097579454471,
      0.495541399471282,
      0.169152486226188,
      0.320169544830704,
      0.47830656382424,
      0.4949161449132,
      0.232535255109013,
      0.493034224928671,
      0.502002917013432,
      0.214133192346524,
      0.253490600129094,
      0.407026514114388,
      0.414667642443589,
      0.136080687605763,
      0.392814077394234,
      0.415311504547926,
      0.334118565096654,
      0.384881671528744,
      0.362317794849745,
      0.461232967215543,
      0.194570814162496,
      0.386318424951552,
      0.38726208198531,
      0.485990390161115,
      0.418359418715912,
      0.558181660269141,
      0.3558128513195,
      0.340143129302815,
      0.422784636987275,
      0.270958207323378,
      0.330678883850047,
      0.486218117880623,
      0.483609448502632,
      0.444823440060747,
      0.416604750293966,
      0.53594586529876,
      0.40268284357062,
      0.427170579739755,
      0.490888751682517,
      0.542553200614362,
      0.34048174431605,
      0.381393041921144,
      0.55723382934836,
      0.444296848005011,
      0.320253538087466,
      0.3544258878798,
      0.537415400324625,
      0.477094478758559,
      0.423493445592364,
      0.452614498231129,
      0.45006806459789,
      0.403797888221015,
      0.251016144604704,
      0.52026063490409,
      0.502811920968406,
      0.43755194017146,
      0.274469657575995,
      0.470870759833835,
      0.474757944579154,
      0.303938220480737,
      0.273676876326935,
      0.59841555638235,
      0.436692156189794,
      0.407651483318674,
      0.408028931295333,
      0.472836780793886,
      0.154697668306671,
      0.259693665523509,
      0.476803576968086,
      0.522437395413421,
      0.364506897218531,
      0.370099777789043,
      0.440328477466934,
      0.344947942312908,
      0.359846542914564,
      0.434892561083206,
      0.485473976143142,
      0.433999469988717,
      0.416289707541711,
      0.358751374461622,
      0.278390748816115,
      0.466657735602879,
      0.449130084457921,
      0.550194072803398,
      0.510859945864269,
      0.499752525435859,
      0.338358010832335,
      0.26153964721024,
      0.601332631245739,
      0.464912696459347,
      0.240392816988232,
      0.4059736380692,
      0.530290086884172,
      0.422342472565782,
      0.243117001541667,
      0.499321347509,
      0.423434628978357,
      0.185956374060075,
      0.363952199544757,
      0.548586094452846,
      0.516403388794076,
      0.230952519614191,
      0.342145673513481,
      0.501825317114925,
      0.214482382579196,
      0.238070907798695,
      0.465177776580421,
      0.497442478230287,
      0.371013110625078,
      0.315318076175028,
      0.481067215366581,
      0.365384371667978,
      0.49631734037037,
      0.370100833369884,
      0.492810638490399,
      0.352646627081745,
      0.349519904140907,
      0.343854800816884,
      0.503778946417181,
      0.15325299471885,
      0.271388105796105,
      0.455073705492921,
      0.447533593984661,
      0.418642089796132,
      0.38658964357143,
      0.364368359287128,
      0.369046400363547,
      0.298108730727276,
      0.197274493719044,
      0.356075693834151,
      0.466043719142121,
      0.479070146659477,
      0.319618271262417,
      0.329673385550887,
      0.500694608889835,
      0.281155639068074,
      0.425635755585339,
      0.562490638563556,
      0.492809628177243,
      0.260690495078886,
      0.370388882857837,
      0.593708566818535,
      0.232708263313514,
      0.35722411577257,
      0.387238734995782,
      0.533400491031997,
      0.251703286044691,
      0.339626351128316,
      0.504953264409709,
      0.492765576554616,
      0.371743439061688,
      0.381946360307018,
      0.538825615800706,
      0.374850486497061,
      0.430250636916109,
      0.343613582273098,
      0.451528727371498,
      0.435388902360323,
      0.29078295248764,
      0.426739645876817,
      0.438295300081195,
      0.381474052243963,
      0.474531241565281,
      0.422206202628472,
      0.512799736106563,
      0.429145269270523,
      0.345942451700974,
      0.479008970234559,
      0.456191309024705,
      0.259817117282826,
      0.361094840537138,
      0.505243685086724,
      0.337605267133557,
      0.224302073993813,
      0.337526931909164,
      0.501708143306813,
      0.382302223912495,
      0.390706931799176,
      0.452242453963973,
      0.360150418249578,
      0.370537269111805,
      0.296796448636227,
      0.478370039633825,
      0.315119110442816,
      0.471275234698711,
      0.382860906014808,
      0.273967031695589,
      0.508764561766098,
      0.397887220361992,
      0.273593011317119,
      0.53816540792022,
      0.498471253058409,
      0.364287099189917,
      0.325459066740393,
      0.539976352984287,
      0.392258413214684,
      0.258236285586253,
      0.341361557321804,
      0.563064342161318,
      0.362281594358006,
      0.286894286669349,
      0.458680668639363,
      0.480550720518782,
      0.437961524587758,
      0.349414750640959,
      0.518673060173522,
      0.492194844398919,
      0.558450416636355,
      0.249004077073401,
      0.506544297417243,
      0.472725027008056,
      0.412814701774581,
      0.371702042651792,
      0.583462272078505,
      0.253961325435362,
      0.392758440444178,
      0.40269551438322,
      0.471564590867216,
      0.440615210621602,
      0.396440016473614,
      0.451630134169241,
      0.44455617789773,
      0.327306853324317,
      0.353890509737819,
      0.465692546304412,
      0.300153057772887,
      0.38991362270099,
      0.365109748361181,
      0.368347351881568,
      0.386562700683915,
      0.414017170859427,
      0.466627820191768,
      0.402139054827863,
      0.43453353328904,
      0.338782585270952,
      0.557760251194446,
      0.50117124865917,
      0.536806236252393,
      0.351184646565858,
      0.38022800321065,
      0.530795409118888,
      0.39301358715159,
      0.34429310117105,
      0.467283123993061,
      0.532472739938348,
      0.440853660805976,
      0.420532473634023,
      0.516908497129686,
      0.40825382606631,
      0.355363750450555,
      0.333065915107766,
      0.563755813023065,
      0.420362117488818,
      0.41441506874083,
      0.425284859447024,
      0.48436877303941,
      0.405145822637723,
      0.0856867928824764,
      0.114999112339408,
      0.131924779526171,
      0.242478928385667,
      0.229831899606116,
      0.321815957336615,
      0.260189955296523,
      0.170984525792506,
      0.592409937490164,
      0.473912177188479,
      0.407209552888583,
      0.499958937690357,
      0.172399112366221,
      0.159984805654136,
      0.268346148370959,
      0.318433220326762,
      0.399510871894609,
      0.248853171231569,
      0.204105575524965,
      0.196753784857636,
      0.298334670436768,
      0.275318038204507,
      0.236332544569933,
      0.31324891256376,
      0.289510966776791,
      0.549727108751405,
      0.367819103099432,
      0.376279247967675,
      0.299755018881142,
      0.448712026084342,
      0.413752149561171,
      0.316379503299168,
      0.477047752053266,
      0.474042835427426,
      0.379391820515809,
      0.353032831601313,
      0.539892834650419,
      0.339174518009249,
      0.188285171003651,
      0.345795991497195,
      0.498434347468118,
      0.420065071192028,
      0.272756980525674,
      0.541012240968918,
      0.433044549385892,
      0.278650951782547,
      0.299642507131304,
      0.563927542310025,
      0.429030982328189,
      0.311643042784615,
      0.362661676493305,
      0.507713601501208,
      0.285994477293532,
      0.285099564382357,
      0.473413195241721,
      0.495210331833198,
      0.24594451929133,
      0.341866723288581,
      0.448961156648673,
      0.457040997103486,
      0.39143511991404,
      0.413570557607978,
      0.501227141821085,
      0.508233533181898,
      0.2904104101573,
      0.327506250519929,
      0.471738606028287,
      0.274699377445518,
      0.357006211017955,
      0.363543337870546,
      0.370819161469188,
      0.388145714261301,
      0.389905792511741,
      0.438602699639586,
      0.401770915552559,
      0.387057763524923,
      0.378386591609506,
      0.580246040333704,
      0.483689614726605,
      0.537095753548453,
      0.336744845012068,
      0.366844920635562,
      0.478772661991312,
      0.389873994304601,
      0.263246016018943,
      0.466455322232594,
      0.498559264298245,
      0.452113845112933,
      0.417882199998115,
      0.540793340046276,
      0.434593210516944,
      0.369754126556768,
      0.40469543450921,
      0.545758101795875,
      0.372225927401049,
      0.386784902870936,
      0.494244959516037,
      0.472745750621471,
      0.334655340558366,
      0.358425262084725,
      0.561703795353635,
      0.521227590679044,
      0.405778625853475,
      0.420957740434738,
      0.465022122602026,
      0.423657036642965,
      0.272149850131283,
      0.460214578436995,
      0.512651453646419,
      0.438438382608105,
      0.329076151898577,
      0.440228918677572,
      0.514079216233806,
      0.231355675634802,
      0.19089881475029,
      0.185468431587828,
      0.110689821544372,
      0.179431148902212,
      0.194305764659873,
      0.158871302545228,
      0.180538095733609,
      0.213422421914434,
      0.165501262434385,
      0.238402789857253,
      0.218930292103802,
      0.325096381804202,
      0.21951227306619,
      0.308834269104563,
      0.306584705119474,
      0.323786890756088,
      0,
      0,
      0.236399562560465,
      0.219475615070464,
      0.194971592382614,
      0.106813207021201,
      0.106051584336076,
      0.184216977735057,
      0.159829670544214,
      0.197151092607754,
      0.21127527787069,
      0.13347933158535,
      0.10438151455007,
      0.113955653466904,
      0.118465409435742,
      0.165736050300702,
      0.133154716561529,
      0.149084377917633,
      0.0741663924122646,
      0.0468811881247429,
      0.0840433781137688,
      0.0490949603306071,
      0.155078344518083,
      0.0455630007825514,
      0.203777169702339,
      0.128077203885458,
      0.0824250392340634,
      0.0597308327191669,
      0.0620074229364758,
      0.325361636367167,
      0.36009044726764,
      0.4196341468146,
      0.339640171406437,
      0.475790530187486,
      0.25662892164081,
      0.364138958908482,
      0.494815888766909,
      0.398793828825772,
      0.511255326983547,
      0.449499328306407,
      0.358712738573747,
      0.416895996278629,
      0.439396812534969,
      0.355481727285956,
      0.42694838930924,
      0.509935399877314,
      0.547282932136884,
      0.275219564402126,
      0.386111289222551,
      0.551598960444456,
      0.362097405055389,
      0.341913405880948,
      0.418347964146841,
      0.544768937159968,
      0.274858817748264,
      0.285336596731173,
      0.498088619285848,
      0.324790167570698,
      0.476145246012873,
      0.329010972117279,
      0.542115041048777,
      0.435931927114602,
      0.349174364198452,
      0.407918459126286,
      0.516560547876271,
      0.330314164383884,
      0.382695750897544,
      0.406392974819064,
      0.457583272219895,
      0.395798823042484,
      0.194631859417973,
      0.428939177709762,
      0.481469298019212,
      0.262106647830962,
      0.391849287258768,
      0.435076856456668,
      0.450211489277168,
      0.30503829456175,
      0.379395563462585,
      0.532677907656893,
      0.260036492987773,
      0.286104370694136,
      0.370066063378822,
      0.515408944825043,
      0.238618669232407,
      0.415182556965961,
      0.457041027627045,
      0.241614547821327,
      0.354751965533128,
      0.433766211461834,
      0.526965940604717,
      0.457008396946271,
      0.504761537410741,
      0.442182434863551,
      0.370715285124965,
      0.445066000213723,
      0.4285096513531,
      0.344649603035298,
      0.407037562454463,
      0.530255582482666,
      0.425418486081854,
      0.343881255828956,
      0.544859735862566,
      0.427991647430087,
      0.242032657407953,
      0.406871660517581,
      0.579322057124874,
      0.330542403628215,
      0.328292386111513,
      0.470649328249001,
      0.483185449676581,
      0.243936301134284,
      0.187162554772746,
      0.556836485093313,
      0.43072251493942,
      0.214302005457026,
      0.372831305023765,
      0.504497288146477,
      0.488881134269549,
      0.242427000316077,
      0.490051392520922,
      0.573021143325848,
      0.239014048564356,
      0.269477678375718,
      0.454974710873018,
      0.398925636165231,
      0.144633781781795,
      0.407022618771467,
      0.505180290575125,
      0.337618138786602,
      0.415121856208282,
      0.355352721501375,
      0.441523228953168,
      0.194254347489509,
      0.404219947889092,
      0.303130287746736,
      0.510585006018585,
      0.390278515069477,
      0.563537785296278,
      0.378541374498681,
      0.342143033743425,
      0.377423123239024,
      0.263254910040414,
      0.333024294616194,
      0.481317615396524,
      0.483329742770285,
      0.437477211662025,
      0.436210112900822,
      0.512931841194243,
      0.384798684812399,
      0.438232450413849,
      0.531014549791724,
      0.530199247168988,
      0.342727963592798,
      0.383012815098599,
      0.545460728574599,
      0.413556053953603,
      0.344223404723011,
      0.341204755819986,
      0.585211374657966,
      0.465573903774794,
      0.38441779477933,
      0.469370266096163,
      0.479036782194559,
      0.396930638886701,
      0.226721903370649,
      0.537685507477988,
      0.46342449993459,
      0.404983274711114,
      0.271871685085736,
      0.511853078110864,
      0.452378462930363,
      0.335474727738757,
      0.300193532648451,
      0.578421702078767,
      0.416879574377988,
      0.388602793779323,
      0.437578974902854,
      0.488817544723732,
      0.18302479673426,
      0.27291443046201,
      0.496839811411495,
      0.529914522212715,
      0.365307830398693,
      0.394647939975429,
      0.477110165729444,
      0.386965989004513,
      0.40626046328654,
      0.409211579512014,
      0.454597792081087,
      0.415399968512695,
      0.440508514442014,
      0.34591861526044,
      0.285637439895235,
      0.412427657785619,
      0.403700036732291,
      0.555625253981463,
      0.508536946443973,
      0.543759550223668,
      0.344733832397157,
      0.267762674316508,
      0.635807360569946,
      0.438192308895771,
      0.283337676898561,
      0.433834901655941,
      0.540899426755482,
      0.431055001502761,
      0.31276456110911,
      0.497393200804132,
      0.410971407782695,
      0.214706915898519,
      0.428043983561913,
      0.56498386775182,
      0.556027913063625,
      0.222987300769294,
      0.34402762886279,
      0.533015025691265,
      0.25009141827182,
      0.274777343653457,
      0.484749346842647,
      0.54605005203445,
      0.368049709903063,
      0.326626453925537,
      0.498722770232767,
      0.357085507657884,
      0.500574809424684,
      0.38365962877842,
      0.559378827056078,
      0.385496027821812,
      0.382698138320191,
      0.349463925983565,
      0.515509297850255,
      0.239435489363487,
      0.26366184010199,
      0.468074047937643,
      0.468452799499136,
      0.397362518577439,
      0.370517137975398,
      0.389841465149754,
      0.384680244649563,
      0.270021746977165,
      0.221070204497982,
      0.401813556933213,
      0.453665141032136,
      0.503652925081596,
      0.329235424725193,
      0.350724679722101,
      0.412819547888248,
      0.263264832964214,
      0.385784501862074,
      0.558253685972887,
      0.491633164751253,
      0.237797203038773,
      0.3371804247086,
      0.555151023314053,
      0.239381969978312,
      0.298111711334346,
      0.434051267365019,
      0.541528613339386,
      0.303565677195104,
      0.385244790839079,
      0.496139081461695,
      0.465271489227592,
      0.409000090199508,
      0.35573452663106,
      0.558352720267838,
      0.357381989396426,
      0.440380286812549,
      0.306017635276724,
      0.470110906263516,
      0.42607758984764,
      0.280099468047038,
      0.43674205761376,
      0.458536759534896,
      0.355631169864406,
      0.523652799398109,
      0.472335876741916,
      0.479781221819327,
      0.42316824889853,
      0.351844540293608,
      0.514480378725004,
      0.435771890614734,
      0.30290624825927,
      0.394659864890446,
      0.50995382507208,
      0.316588414533981,
      0.21775763755951,
      0.385875299063765,
      0.488537132340982,
      0.430067646719904,
      0.382077118739701,
      0.488311013573618,
      0.270839831004434,
      0.343159399457705,
      0.26443965765195,
      0.521788436131998,
      0.321020525739214,
      0.470049521794153,
      0.408922705273997,
      0.282505564052893,
      0.437719774623087,
      0.357511376977731,
      0.254404217893682,
      0.565727364473407,
      0.535187689745963,
      0.438123418168684,
      0.30880518474933,
      0.523835164174314,
      0.39083031204121,
      0.269856213412228,
      0.359670478749132,
      0.581163688457978,
      0.371385724677282,
      0.275482789853759,
      0.446634695622633,
      0.467505276392082,
      0.424230789812799,
      0.335056746246727,
      0.498938268654825,
      0.433428871565414,
      0.55905881303928,
      0.261518136648958,
      0.520967484386492,
      0.450620515839726,
      0.424343814476293,
      0.39262119334386,
      0.522036497948542,
      0.239147737095676,
      0.398347838686758,
      0.434604005840726,
      0.492391382305235,
      0.444687679144732,
      0.384868329901151,
      0.523419311803107,
      0.493987002062873,
      0.310419723668186,
      0.339890154996667,
      0.499953354300956,
      0.300777831170977,
      0.382201710200861,
      0.360306654987864,
      0.364079047713604,
      0.411488866241379,
      0.411095362954974,
      0.470564896148778,
      0.402645753911864,
      0.410221088665685,
      0.332056167548315,
      0.585357871131137,
      0.502433519583492,
      0.518761230360669,
      0.361518551431431,
      0.372382297807149,
      0.473266155402716,
      0.380548868879423,
      0.359932260658853,
      0.498076663564385,
      0.542575786517795,
      0.433719953827716,
      0.444296324966889,
      0.48642321636829,
      0.418747531753395,
      0.37896354619744,
      0.301956058071737,
      0.572942094656528,
      0.435531273962945,
      0.394680242047388,
      0.424909579173755,
      0.494281986186033,
      0.448861232302472,
      0.153593132919691,
      0.138540170301184,
      0.19033496053806,
      0.215114718194234,
      0.263240613196829,
      0.304324498903259,
      0.286528079572733,
      0.147288010224311,
      0.598477591119907,
      0.468474154880413,
      0.417165515615239,
      0.519312063951794,
      0.191552011535499,
      0.205178447743355,
      0.254960032803324,
      0.330353007733454,
      0.392227944955714,
      0.227330632127186,
      0.216739868322638,
      0.200046559611327,
      0.236905636036202,
      0.302281621634104,
      0.262683150599575,
      0.322441371401866,
      0.334797128497391,
      0.564994750068097,
      0.358298183934721,
      0.346659260049053,
      0.291411692642509,
      0.422190725998927,
      0.407621682862738,
      0.343518681700477,
      0.480243865792373,
      0.497409930941077,
      0.361672096923312,
      0.372051964471729,
      0.483752425325311,
      0.342768436582218,
      0.202313205427615,
      0.383831880397183,
      0.518680471228996,
      0.371144923503148,
      0.28813842435861,
      0.534524475232358,
      0.427017424683266,
      0.266053838242585,
      0.32223515701058,
      0.579805935524497,
      0.407237437461705,
      0.318254573437398,
      0.377926275741524,
      0.506628489367692,
      0.247173090809544,
      0.245065262696886,
      0.517911318531156,
      0.542856835326544,
      0.22742394929879,
      0.364055569812465,
      0.482558890561324,
      0.452175289630674,
      0.353192229778857,
      0.416157887328619,
      0.570725887243375,
      0.553988631608716,
      0.290892465190005,
      0.327381291298466,
      0.495649710433017,
      0.298988596377267,
      0.351835418004626,
      0.440508829944595,
      0.371935345602873,
      0.39621927120239,
      0.389607313395747,
      0.459829229944683,
      0.401803579228341,
      0.397465490706557,
      0.351295529639406,
      0.618798541651888,
      0.467527374770692,
      0.476406854489807,
      0.343010444010385,
      0.377037907728282,
      0.430175759832929,
      0.404692858493087,
      0.28800895256034,
      0.482301351094972,
      0.517601301621718,
      0.428357571627991,
      0.451133489474373,
      0.51622162070577,
      0.442251128041066,
      0.387122301091839,
      0.453418421629529,
      0.547042756869336,
      0.362946094837864,
      0.388095587970062,
      0.495481023025441,
      0.449808627256118,
      0.382393473514117,
      0.317421507006923,
      0.565442191463454,
      0.495628055540172,
      0.391207099879542,
      0.435876688646927,
      0.48857757360259,
      0.409559093902635,
      0.247510705166755,
      0.46901187419061,
      0.504697810372541,
      0.42594453080502,
      0.330232155545569,
      0.482921284316281,
      0.500218235908977,
      0.281330868851087,
      0.195530073330115,
      0.208824379277153,
      0.125926653882228,
      0.18611944398562,
      0.233417975298146,
      0.208538348266948,
      0.230385045003654,
      0.256453245424877,
      0.215396611593045,
      0.252643510129343,
      0.280326040907053,
      0.357332889084481,
      0.311478620561991,
      0.290311156651532,
      0.252239233115229,
      0.336518093028202,
      0,
      0,
      0.170255421967381,
      0.0912780232684536,
      0.087621703891531,
      0.0399002724720104,
      0.0607846639201997,
      0.149351441977805,
      0.125830586701673,
      0.151071820702622,
      0.100323131422333,
      0.0848891928993045,
      0.0627760314881194,
      0.077239393619022,
      0.0755154751355208,
      0.170015191025117,
      0.0820446257582018,
      0.169472296405418,
      0.105706358145376,
      0.167532522114094,
      0.0694813817499318,
      0.102057189185669,
      0.168229139050835,
      0.108736495069663,
      0.164706986649737,
      0.105677002484565,
      0.155299565434117,
      0.0884146195981415,
      0.122790793983207,
      0.318581917079864,
      0.321377148525058,
      0.4066741601094,
      0.349655582786016,
      0.466740069041467,
      0.270570864643037,
      0.355320618964317,
      0.483280562978096,
      0.395665784783544,
      0.501423820433025,
      0.464351399503737,
      0.369110950511004,
      0.381664169907475,
      0.393333757550598,
      0.368338341663272,
      0.450325201116885,
      0.424340251275892,
      0.505866359896331,
      0.2858617882113,
      0.344246378785127,
      0.506323182491568,
      0.332517068998787,
      0.276459085125086,
      0.349856623235535,
      0.554841559514486,
      0.254122050436366,
      0.257969889678272,
      0.443875142915153,
      0.332919187711172,
      0.470944423577085,
      0.273741968412987,
      0.508748910719835,
      0.375403637045093,
      0.374218056728763,
      0.43613710772548,
      0.505866180348961,
      0.340442182523544,
      0.368148384652674,
      0.367459675838064,
      0.43229948995435,
      0.401868525074402,
      0.233967187457885,
      0.405967291852682,
      0.456205967064379,
      0.251452623802575,
      0.40868997881927,
      0.409100205239267,
      0.417086175652984,
      0.272889347865736,
      0.409743257956283,
      0.528875984487868,
      0.21973082018222,
      0.275907301454839,
      0.385154153339979,
      0.454136357056521,
      0.191103789912868,
      0.395903205036257,
      0.43320142672329,
      0.235270171709057,
      0.352895630481188,
      0.422627131445609,
      0.508144911444443,
      0.392061315846374,
      0.488693275552774,
      0.41521567870037,
      0.424411325601443,
      0.431111891499732,
      0.414030916908211,
      0.330654589765618,
      0.388781843497559,
      0.507981678391991,
      0.452480012650538,
      0.337413853076543,
      0.494885679191538,
      0.34445839596829,
      0.204095561331585,
      0.412748378850829,
      0.556798182494547,
      0.298986984985908,
      0.316735651090748,
      0.410257539227513,
      0.483573881664092,
      0.19924880071163,
      0.213079490299698,
      0.505924015866194,
      0.434275716590543,
      0.248678966409482,
      0.400336261582813,
      0.505141989804208,
      0.474801881989896,
      0.245321395466361,
      0.498953036478391,
      0.507332925639178,
      0.254361528613597,
      0.285152478318383,
      0.416779188865778,
      0.42085591458972,
      0.179436087655927,
      0.448020934934513,
      0.457764951011469,
      0.349066857979,
      0.360030779556774,
      0.343660218054226,
      0.4420294152925,
      0.196059389660302,
      0.415033055162343,
      0.299992919781213,
      0.495324925849903,
      0.374649489482876,
      0.538686611970529,
      0.40174040288632,
      0.334169267489692,
      0.348457378920445,
      0.248643078483151,
      0.315118760373932,
      0.40473205196256,
      0.471094188945881,
      0.448268217552219,
      0.41296057603091,
      0.455152816314623,
      0.365982446687616,
      0.463113923266671,
      0.463159168544214,
      0.523590759759201,
      0.345666614754604,
      0.405469271922302,
      0.496881896069302,
      0.399673163580126,
      0.341745808591723,
      0.296072419986928,
      0.54349865621619,
      0.473243406457065,
      0.399684827576029,
      0.443815335917705,
      0.483048264483911,
      0.519374871234484,
      0.18127113416396,
      0.503456606774995,
      0.442429760621162,
      0.410882758800247,
      0.23008169041356,
      0.495869204374901,
      0.475372027443227,
      0.341508123179621,
      0.320139059268524,
      0.542971865446544,
      0.432457478530278,
      0.422945846184942,
      0.444442011261233,
      0.496583834268348,
      0.240647820914953,
      0.251171509923471,
      0.433862202822772,
      0.427445453728394,
      0.36918661170194,
      0.37399657814213,
      0.462125865128633,
      0.377120298815673,
      0.362541637081454,
      0.395013052938715,
      0.42116608327601,
      0.433883514607336,
      0.437750713771123,
      0.35637478287097,
      0.303580068171407,
      0.384304728711739,
      0.42548466372332,
      0.574691673647373,
      0.442038715058074,
      0.525899763869619,
      0.316972189161882,
      0.261001811376127,
      0.637400275709345,
      0.378781888297183,
      0.258864386063216,
      0.379596007576317,
      0.540860049447633,
      0.453890320311089,
      0.319553851056759,
      0.468140287667089,
      0.431795494496729,
      0.203644135048131,
      0.305383978775681,
      0.530208782053694,
      0.488100568529748,
      0.221460712370849,
      0.300104465326605,
      0.520829528312113,
      0.228335190978545,
      0.355900887336773,
      0.463035493399606,
      0.49611935339896,
      0.377741683043787,
      0.331313885350878,
      0.486321847431409,
      0.372442766550377,
      0.523589747916137,
      0.369292208433433,
      0.472891641155643,
      0.364760966115104,
      0.394360354839129,
      0.34662968009048,
      0.501808001716804,
      0.206954614393411,
      0.253726492941154,
      0.445599428550506,
      0.431029723120696,
      0.405504381100471,
      0.391638259060653,
      0.365554678697935,
      0.355564013312951,
      0.26849610031076,
      0.224755262245292,
      0.418906701929198,
      0.461135352462575,
      0.491808050273339,
      0.332818724755295,
      0.320381356402629,
      0.410939611925109,
      0.279422862024779,
      0.379615635761248,
      0.555634319871131,
      0.49836001743265,
      0.233338373897185,
      0.328747947948953,
      0.525751336422835,
      0.216814525046588,
      0.295626436255045,
      0.399857215748781,
      0.550331924342856,
      0.265277466412094,
      0.43750310765255,
      0.450484005516754,
      0.459702149837734,
      0.403410987914957,
      0.355275259473459,
      0.512995155979438,
      0.357610426179764,
      0.435921454956217,
      0.314427955176957,
      0.451339648945815,
      0.426419136345397,
      0.26878636006067,
      0.399378270839398,
      0.419836860666182,
      0.325617185742239,
      0.494990376834299,
      0.433838392697856,
      0.478312180508158,
      0.416957410225194,
      0.361832952576414,
      0.479008766721124,
      0.340688592063874,
      0.318924316320404,
      0.383379613279823,
      0.498755171779177,
      0.271685745303621,
      0.248853951563376,
      0.395616799993497,
      0.439797829371838,
      0.411032555301937,
      0.398094432663785,
      0.47783744059873,
      0.269520778909974,
      0.339116695070589,
      0.276257743194382,
      0.478676485531612,
      0.24024626319195,
      0.489078333232228,
      0.398164362864239,
      0.281896203299623,
      0.419279233857052,
      0.302752587206084,
      0.254280727249489,
      0.450326347408728,
      0.527699964210847,
      0.41096051555575,
      0.33020108779987,
      0.47403336758992,
      0.367115858591647,
      0.270593544381575,
      0.323938899660921,
      0.537167581049932,
      0.322205915038312,
      0.292261159077326,
      0.418572541738694,
      0.474978235152396,
      0.416379054890476,
      0.321330883118981,
      0.478118799407017,
      0.44486040476688,
      0.557167170610358,
      0.284615632357901,
      0.509131413694282,
      0.431492821810794,
      0.432896576155961,
      0.371789958435289,
      0.522732370082147,
      0.241853700510028,
      0.374958863777481,
      0.411774633532597,
      0.479953800932182,
      0.397367372147969,
      0.360174346526987,
      0.479546456484319,
      0.450561936073249,
      0.252251672995932,
      0.358099607164501,
      0.497086064284972,
      0.276801085018347,
      0.371519444987918,
      0.359281729244834,
      0.355352702792534,
      0.378339623076031,
      0.406940503157399,
      0.469871117664552,
      0.411960862209179,
      0.416694542188793,
      0.330552926381384,
      0.540827237931987,
      0.46358686212066,
      0.520232067206931,
      0.338946319580703,
      0.359875199824972,
      0.470337709913044,
      0.374171484440487,
      0.3351205603164,
      0.411298787077616,
      0.536947492298017,
      0.453645554407485,
      0.447005484165676,
      0.463888036622458,
      0.409029782772679,
      0.394060692109711,
      0.224229100390733,
      0.548346296852995,
      0.414576640466498,
      0.364728986773618,
      0.368914154994797,
      0.498407946593008,
      0.460127633309716,
      0.139978506116913,
      0.121504746925313,
      0.180507008231315,
      0.233840674662142,
      0.258219843581796,
      0.366276252574212,
      0.296403375912318,
      0.189892207193199,
      0.631848401468058,
      0.426936748607087,
      0.471515609217257,
      0.507948123535966,
      0.128070511032239,
      0.174100924684478,
      0.250906785092201,
      0.344758262650541,
      0.381876829224981,
      0.208672626424272,
      0.209926268880627,
      0.20716531528802,
      0.243512087886417,
      0.347557425193242,
      0.29874613262714,
      0.301632411760226,
      0.335760887762695,
      0.589894273499738,
      0.363341365666291,
      0.361880950601945,
      0.305788095304393,
      0.391274728724394,
      0.396677300328141,
      0.313220500307706,
      0.434221598375056,
      0.493033641311486,
      0.361938558984301,
      0.356475868880769,
      0.457915067366966,
      0.347433547116135,
      0.214694423916304,
      0.335284349724383,
      0.502697292707881,
      0.34689821761978,
      0.278270814471185,
      0.48847030337548,
      0.412505944905307,
      0.22530665393309,
      0.276809940156329,
      0.539517891334591,
      0.386006414171635,
      0.28768700050534,
      0.343095593505497,
      0.507263635582759,
      0.282317241297949,
      0.246860288599682,
      0.47880621133937,
      0.492707772169845,
      0.229885434278948,
      0.36150987272144,
      0.472953137978989,
      0.458829960736247,
      0.357360394357195,
      0.39532655207998,
      0.520289896671231,
      0.495823389504597,
      0.267859891857085,
      0.3596984739031,
      0.508413345441967,
      0.284391480458241,
      0.344444410157329,
      0.391542312325785,
      0.316698407894896,
      0.343875594540414,
      0.385532834725369,
      0.458745636534369,
      0.404982638722019,
      0.406044901127678,
      0.360758258498513,
      0.581246808694589,
      0.389382951212193,
      0.479129846593571,
      0.342114075976562,
      0.323857593112972,
      0.398435899084111,
      0.381940931217389,
      0.301107411878736,
      0.418708853056129,
      0.507766753495209,
      0.458684493096047,
      0.445577609924173,
      0.486708527258381,
      0.432170648418096,
      0.424371155193461,
      0.401569960043787,
      0.513013913733001,
      0.37086412416383,
      0.359509786728439,
      0.465294831900913,
      0.454404556461579,
      0.40012584724977,
      0.276764925622872,
      0.53076182990712,
      0.512313323477104,
      0.391980163310152,
      0.425563875329847,
      0.47304191001633,
      0.536424062306373,
      0.181870760231473,
      0.455197737367582,
      0.475875813632199,
      0.407874712257801,
      0.280372834511895,
      0.44959706730333,
      0.528737386309673,
      0.315501795034574,
      0.317298281401829,
      0.305904404192274,
      0.3264645437025,
      0.198043182988295,
      0.230665665852266,
      0.242084505434319,
      0.266393119220254,
      0.29909996001253,
      0.2565208839001,
      0.285082098919583,
      0.292068902589413,
      0.318263096286924,
      0.281375470860265,
      0.18178866421191,
      0.15738921483493,
      0.273835611083774,
      0,
      0,
      0.158697508971458,
      0.098243707407474,
      0.100687227533631,
      0.0701696927429424,
      0.0553759247615851,
      0.183305361086786,
      0.200462839166266,
      0.215028169830511,
      0.143674572476398,
      0.0910656556412169,
      0.0781308050616677,
      0.0750456741436443,
      0.100687723211939,
      0.208066186950323,
      0.085488727395709,
      0.131445926774297,
      0.0623067301111523,
      0.0761427739861251,
      0.0720140456459044,
      0.0555037681189758,
      0.146611280928008,
      0.091348199857587,
      0.147013588901764,
      0.0969296158755313,
      0.0861247010416509,
      0.099715634067913,
      0.115528931247382,
      0.311884039918725,
      0.322350984012647,
      0.4904341548037,
      0.316195456208659,
      0.472581942921414,
      0.313605837289829,
      0.328314542144559,
      0.450474345020841,
      0.404681965318531,
      0.411737011615014,
      0.452266431688894,
      0.408925797709204,
      0.369180367010739,
      0.422347379214028,
      0.353153420233517,
      0.465774316795581,
      0.42802360842525,
      0.484529405749897,
      0.39528482055139,
      0.355668550934236,
      0.503249221591079,
      0.327595446974603,
      0.255980774396901,
      0.38265695719649,
      0.533310987085281,
      0.251903905892246,
      0.236254387103435,
      0.452894385918083,
      0.344899685326475,
      0.487014447875159,
      0.289786362434668,
      0.467660050621053,
      0.383627722669047,
      0.492352095189678,
      0.446654141395858,
      0.501994465607711,
      0.342704949393275,
      0.316896903149606,
      0.292704118080389,
      0.467353909460213,
      0.420967437855659,
      0.255362195254922,
      0.354437168627963,
      0.46652589783244,
      0.274358054446334,
      0.404877882380809,
      0.421942572612946,
      0.427424427784986,
      0.300381940244109,
      0.3756530011395,
      0.518087006055483,
      0.211684290987501,
      0.281571885037212,
      0.389221308668026,
      0.471348249368766,
      0.189920770826946,
      0.359795481311763,
      0.409654728975097,
      0.246464888867132,
      0.34190545486932,
      0.408527639784574,
      0.497147049474107,
      0.441990070998046,
      0.445692497780342,
      0.44710326915295,
      0.448083625190204,
      0.432265454352867,
      0.451364824356631,
      0.313782580074535,
      0.461815192127403,
      0.501085620871305,
      0.443100567858585,
      0.346721116076909,
      0.475880935311662,
      0.368195777516238,
      0.205931020928667,
      0.43015448537906,
      0.531552648163083,
      0.295099964064959,
      0.32137068613931,
      0.451021514944244,
      0.475692122023516,
      0.202255104220389,
      0.202553312966377,
      0.454534276815396,
      0.4588352482826,
      0.220105103489237,
      0.438205224545332,
      0.497151872629652,
      0.46344698487721,
      0.233683016162995,
      0.483384757062338,
      0.464439386254292,
      0.278400263504608,
      0.265757980294966,
      0.385121423673574,
      0.426449756434378,
      0.172265950119895,
      0.437801406043105,
      0.403728109164598,
      0.34569095874357,
      0.328335857225349,
      0.394940057284103,
      0.436147130639611,
      0.181134407646918,
      0.403531594257279,
      0.291134088744457,
      0.468017092816726,
      0.390511972206706,
      0.526684657603173,
      0.4314680613724,
      0.340815472623834,
      0.326346048660997,
      0.214604350209824,
      0.337980297768677,
      0.439910251137724,
      0.486462711681276,
      0.426197132156262,
      0.385131173706128,
      0.46016127998556,
      0.323073001390695,
      0.46511859897359,
      0.458463399305192,
      0.500260558180207,
      0.348653818317036,
      0.404219526759257,
      0.488843539048145,
      0.406914977866238,
      0.353875612172068,
      0.310505688926557,
      0.517307189243664,
      0.492000009059813,
      0.386282875766016,
      0.438732218614659,
      0.476117684110979,
      0.563579754485919,
      0.14105208912771,
      0.471993317172701,
      0.444958048036004,
      0.369912917585981,
      0.226601566274987,
      0.482533815213113,
      0.458837560271302,
      0.357189424022895,
      0.328420237134825,
      0.523267161420046,
      0.450705422253255,
      0.40939518513285,
      0.402079525985371,
      0.503098575092559,
      0.220743390148477,
      0.217565919354979,
      0.440790418718265,
      0.446017445213493,
      0.359315161661564,
      0.344227501198871,
      0.45570916982002,
      0.378748897426454,
      0.334206298344676,
      0.413520529277643,
      0.415600290939911,
      0.449261420311287,
      0.428648362639889,
      0.325111058129676,
      0.276827660509644,
      0.392369870067873,
      0.420899610450915,
      0.600249611836991,
      0.439972591689971,
      0.475800867741666,
      0.346034881234706,
      0.252114282259388,
      0.630188624745156,
      0.367051865491058,
      0.243074217158625,
      0.381281137695418,
      0.483996448582771,
      0.380007659260032,
      0.261282000387376,
      0.4790019776077,
      0.426644824435622,
      0.219152536597987,
      0.296363099383731,
      0.486791281492502,
      0.474240399400404,
      0.211987163512635,
      0.324163106838248,
      0.511903787910425,
      0.183772118519611,
      0.358517059848977,
      0.443964865943308,
      0.525097451588069,
      0.422900516551879,
      0.321772130205902,
      0.488860885409246,
      0.358286506940641,
      0.525195062195958,
      0.371882686262138,
      0.433455412042707,
      0.34484639813363,
      0.367838672455305,
      0.338694737294267,
      0.482804345417793,
      0.176578876065841,
      0.261227455543707,
      0.420016271087125,
      0.40922599916183,
      0.403040177828661,
      0.38232524803718,
      0.37413004778786,
      0.312878113729099,
      0.252692622780176,
      0.241309530160079,
      0.441478383219927,
      0.440462090778354,
      0.461851467017679,
      0.363640568436263,
      0.362180809747108,
      0.437408418367139,
      0.288660779816996,
      0.387968732196825,
      0.558293977132554,
      0.489467493153866,
      0.258616659673862,
      0.395615056844687,
      0.564931726664348,
      0.205330741345388,
      0.270257684838817,
      0.370588050792128,
      0.527026014156185,
      0.272729344591146,
      0.400262394051261,
      0.46563949656698,
      0.45445887129452,
      0.392113336605614,
      0.332596740204962,
      0.498356275338003,
      0.374627377822732,
      0.424353223752738,
      0.312541017123495,
      0.426829755302043,
      0.377816573347232,
      0.270746264695252,
      0.369429558973056,
      0.385141180763908,
      0.333557447246017,
      0.471820206501018,
      0.421511126542875,
      0.487735314918144,
      0.432286880460953,
      0.336398279990675,
      0.414388562029008,
      0.377718557879783,
      0.277906804883185,
      0.331111937432293,
      0.487689897122763,
      0.257068853999905,
      0.24193572267598,
      0.446915621226825,
      0.464956819593051,
      0.421600370837883,
      0.368861729999637,
      0.471068962776433,
      0.286823343703634,
      0.313432396250209,
      0.256214182311854,
      0.427271538471633,
      0.272940350616805,
      0.483516996804007,
      0.386046002684945,
      0.336805550499911,
      0.446099279829755,
      0.31827292299097,
      0.265896646601132,
      0.47088864134999,
      0.514652207604487,
      0.444983834164199,
      0.347952769377444,
      0.482722580150909,
      0.34144308832103,
      0.263584168363542,
      0.320487874394465,
      0.479799837770515,
      0.283950986307297,
      0.295159950422959,
      0.434621772336918,
      0.505554911172979,
      0.366930718540979,
      0.31352679704026,
      0.478514936143529,
      0.453777500796826,
      0.535409241912547,
      0.262927457034144,
      0.484440022166233,
      0.445849155029653,
      0.417045657635711,
      0.392110593386688,
      0.495219194932241,
      0.192691978817695,
      0.343954742953578,
      0.3976628153394,
      0.464526492377805,
      0.348404336960158,
      0.356075262878908,
      0.399427352840226,
      0.463187678713077,
      0.2612167807221,
      0.339977540945668,
      0.485037328249971,
      0.25715058846616,
      0.370733221360678,
      0.31786359204835,
      0.342914337690287,
      0.381499453086297,
      0.388394610334403,
      0.444915855462711,
      0.377656728914171,
      0.398697185066546,
      0.326241587553693,
      0.513503084182386,
      0.505384786553433,
      0.494534615665603,
      0.332377331059155,
      0.333626865567639,
      0.46846032199849,
      0.360603904225777,
      0.305763128437581,
      0.41051091981155,
      0.518564418541228,
      0.461769449685184,
      0.394386082637058,
      0.477689784049605,
      0.38533039520071,
      0.393550760110868,
      0.210703901194743,
      0.52061512809843,
      0.420892514699215,
      0.364110281646501,
      0.367388976468949,
      0.491728178810218,
      0.436330800671355,
      0.164327597484085,
      0.0829033136248477,
      0.179718855816435,
      0.234232627101144,
      0.235930086558387,
      0.407223404103978,
      0.238333950587984,
      0.179155455581969,
      0.601599194975058,
      0.49227027837902,
      0.458364925716947,
      0.4839199814186,
      0.145499327456013,
      0.138129192383771,
      0.243014224479797,
      0.325137661185415,
      0.388348628119024,
      0.241585899582746,
      0.224266074091112,
      0.194510615438014,
      0.171424554952933,
      0.347058468975629,
      0.301850277020946,
      0.328091899980868,
      0.332481356424066,
      0.620611615620818,
      0.359750432896684,
      0.3686308007412,
      0.289946171641942,
      0.381568479347861,
      0.37268367730979,
      0.305663473652927,
      0.433936722829819,
      0.475205637737583,
      0.364422774459227,
      0.392941457781227,
      0.47502004264822,
      0.352863939981666,
      0.187875280220743,
      0.306967211042436,
      0.477857609472614,
      0.299518160232932,
      0.271230101843994,
      0.474263182735767,
      0.394369471060121,
      0.235016895928897,
      0.319177380476444,
      0.52714100532041,
      0.395107592753544,
      0.309818026094058,
      0.3409978565017,
      0.499471438376654,
      0.276526825779893,
      0.228192040786326,
      0.431300678296301,
      0.458392325151263,
      0.221721994534955,
      0.361010165649375,
      0.48532477206259,
      0.445819678380233,
      0.335647641329925,
      0.357624601850315,
      0.462397067080765,
      0.538820576852946,
      0.269085662263461,
      0.335964606057829,
      0.509714571384869,
      0.250014592367348,
      0.358409202340207,
      0.377315397410077,
      0.325009936850577,
      0.358076145393613,
      0.382439639352891,
      0.443960305536974,
      0.36929764967981,
      0.370487644518288,
      0.346145366646833,
      0.495169186100237,
      0.442714323336628,
      0.462870341986021,
      0.330732365996837,
      0.322328820437557,
      0.420673462601081,
      0.34974487064742,
      0.261810866122606,
      0.455916181878864,
      0.485968792956204,
      0.443936607356484,
      0.432991148467893,
      0.472525279716453,
      0.380102242889349,
      0.424638438498856,
      0.413518460497897,
      0.50099491801613,
      0.309488039157584,
      0.390352925682822,
      0.478907548423379,
      0.442378290550978,
      0.393740505835945,
      0.292668116131067,
      0.497904556273895,
      0.519990841479379,
      0.380970053737692,
      0.413911693546077,
      0.472834981772433,
      0.558898582943725,
      0.148451801070358,
      0.440817003843937,
      0.486687496933449,
      0.40947184041305,
      0.265451286325908,
      0.433467519391993,
      0.511672665184057,
      0.28707548891609,
      0.294669056218172,
      0.282109432543486,
      0.299762340388537,
      0.158318769360117,
      0.203993807074893,
      0.211516139794574,
      0.243574531432403,
      0.262215053389831,
      0.229877056233156,
      0.236166889519508,
      0.227387114075953,
      0.298475203341677,
      0.150535791589988,
      0.136330008091633,
      0.123181831629354,
      0.234923866992945,
      0,
      0,
      0.10672552971609,
      0.0543621266774195,
      0.0845944113727712,
      0.0665252081627418,
      0.0538158642027975,
      0.141131478157248,
      0.187298781000172,
      0.162566020532399,
      0.0695893226001666,
      0.0621858355368037,
      0.0765946389672129,
      0.0946894781079466,
      0.0859941807138446,
      0.149598095980537,
      0.130575770594081,
      0.146089595086209,
      0.0543444684470296,
      0.00278437597383945,
      0.0883961204786885,
      0.0617545981514364,
      0.129804127422061,
      0.134412467885375,
      0.125010763247341,
      0.0841516892592391,
      0.0505304781167765,
      0.0528393658934523,
      0.104400405809578,
      0.301689298679443,
      0.320339359383307,
      0.470374375981372,
      0.303578223803752,
      0.432089367199929,
      0.340167983885959,
      0.335518702289449,
      0.463717392069595,
      0.424694398030584,
      0.432406384384096,
      0.453585758309435,
      0.374740534684572,
      0.393698698232509,
      0.432763730161557,
      0.370113531429826,
      0.433998173705445,
      0.473431870577046,
      0.482534537821395,
      0.3876263519392,
      0.296684444475304,
      0.491533010746716,
      0.328541443176686,
      0.247221753242788,
      0.396762697721143,
      0.514834192092815,
      0.268470600426027,
      0.261292901724461,
      0.446667042443594,
      0.3483108995395,
      0.495492770168541,
      0.35961367361396,
      0.473007174710572,
      0.413455447064006,
      0.443840574739873,
      0.422530754776033,
      0.47678747540827,
      0.367008657151675,
      0.361192146659208,
      0.340224010997728,
      0.475976707850492,
      0.45987905035085,
      0.259633626091871,
      0.317231316473769,
      0.464592641923803,
      0.294241867922411,
      0.418471587187943,
      0.434943534424156,
      0.4339856198038,
      0.296367503189713,
      0.395418747449185,
      0.482355148328778,
      0.21446075376542,
      0.270554274078348,
      0.357480638071825,
      0.507120797459202,
      0.18404962552776,
      0.34560263956179,
      0.427822509917638,
      0.200897221294489,
      0.306342971950344,
      0.417001690785855,
      0.488874774261928,
      0.456546070076874,
      0.465366520859762,
      0.463856460997762,
      0.436032965334489,
      0.449257051808128,
      0.461643692634807,
      0.314738609988594,
      0.435846577261204,
      0.512439567705804,
      0.435410940728333,
      0.353468180620369,
      0.460053436309235,
      0.356350052935696,
      0.223480743644738,
      0.378183494640757,
      0.504486774025538,
      0.265092820403664,
      0.317089685920087,
      0.453085598588992,
      0.441498173416093,
      0.248488504784284,
      0.233769823679433,
      0.442903438050087,
      0.450309004833898,
      0.202408442680913,
      0.41651385964171,
      0.46693914977177,
      0.446211442768361,
      0.154805594771629,
      0.458861573977873,
      0.528998494007377,
      0.324015801376103,
      0.2223980940135,
      0.373168687462744,
      0.420696556576251,
      0.161068106577835,
      0.440557218227323,
      0.441641653455808,
      0.32271470591918,
      0.346537689188378,
      0.43957956304429,
      0.400014723285684,
      0.171688390752958,
      0.374672755356243,
      0.238642547855634,
      0.470653919819791,
      0.362587836731941,
      0.543037794386672,
      0.401835077105623,
      0.363462175426718,
      0.357392142431852,
      0.185406441904551,
      0.388469313296028,
      0.44380848364634,
      0.474152349726454,
      0.427064859389794,
      0.397453579971639,
      0.482303345341913,
      0.310157034317734,
      0.430358012221595,
      0.479884734722608,
      0.491351408236342,
      0.317314797648671,
      0.380993333489969,
      0.468032096383055,
      0.40329078384451,
      0.385421527203064,
      0.332952237657732,
      0.510164939201671,
      0.482264716715833,
      0.361155867465773,
      0.446896200247988,
      0.456053084002148,
      0.506245236855588,
      0.124737659108477,
      0.47283301328674,
      0.422712207489015,
      0.349145245651014,
      0.242349694957858,
      0.440435291710796,
      0.493059810119814,
      0.341580976151859,
      0.332599506763375,
      0.544786825110515,
      0.435090531181604,
      0.404577414841779,
      0.440740002592167,
      0.484529535184627,
      0.181770816580824,
      0.198709848679471,
      0.448348375501425,
      0.483448642761784,
      0.319767387522058,
      0.395107062876945,
      0.449194742160102,
      0.379505172166137,
      0.356600445945189,
      0.434313539410651,
      0.426226117363078,
      0.445531757478153,
      0.427011512488357,
      0.290159862552921,
      0.448896417216801,
      0.431845562701735,
      0.425597865992392,
      0.600728106726314,
      0.457812659987841,
      0.439255659151245,
      0.308274664602083,
      0.220396714390298,
      0.643686115469065,
      0.357929774466198,
      0.261603713848023,
      0.402017688545693,
      0.458271762837772,
      0.375054364776572,
      0.206325943946533,
      0.475270792691612,
      0.400668362071647,
      0.202539119098079,
      0.356607585812251,
      0.514529080017316,
      0.479556102145372,
      0.211750061704647,
      0.296731063031041,
      0.475512837672501,
      0.212263690354851,
      0.265697671152731,
      0.435954653702359,
      0.536486359909822,
      0.371429422720976,
      0.228390150630288,
      0.473394412016316,
      0.372717556490254,
      0.494504347420507,
      0.335688552624405,
      0.506419320458495,
      0.348633409457457,
      0.348596053552771,
      0.342075866366822,
      0.449291616630575,
      0.210892560193697,
      0.247994068951817,
      0.43307505361469,
      0.456906618101605,
      0.393308578526981,
      0.357270082322995,
      0.343791743545717,
      0.305062514946259,
      0.249448859719355,
      0.233934894924691,
      0.442143795721029,
      0.435279861442423,
      0.458169939697193,
      0.379635684761506,
      0.342886029285663,
      0.440853709692067,
      0.28729101238664,
      0.413184270955175,
      0.553087297812613,
      0.471746077049471,
      0.240552807767995,
      0.441173933343814,
      0.536257866271564,
      0.244489476886142,
      0.286910564010535,
      0.396561540674673,
      0.535533919968547,
      0.254481644435857,
      0.355279620481708,
      0.440836203636464,
      0.478157493287013,
      0.363603424394194,
      0.306670422194417,
      0.481277292053374,
      0.408619800660527,
      0.409461873910346,
      0.257830983799271,
      0.414798400923409,
      0.399195496554636,
      0.283170200536346,
      0.373033049221856,
      0.469411993732864,
      0.338375308926758,
      0.461508157148884,
      0.420826895251264,
      0.488317160568757,
      0.427734696304383,
      0.361827703096861,
      0.435234396886259,
      0.405172383840896,
      0.250644380250208,
      0.309555713815308,
      0.498172804315063,
      0.295948108460613,
      0.234905633040022,
      0.437104046244042,
      0.460346175972547,
      0.367874352516157,
      0.386743979789227,
      0.494809646193691,
      0.295852761821964,
      0.311744119277006,
      0.224959493508853,
      0.459016451936579,
      0.283374068337746,
      0.458820830350697,
      0.415769625717717,
      0.342215098656533,
      0.514162257918322,
      0.317991454478207,
      0.300654340401865,
      0.522601837133409,
      0.485053089072001,
      0.436909088985806,
      0.380657157527135,
      0.48355278642878,
      0.327941054661268,
      0.260074444761659,
      0.331351995837118,
      0.489287895750706,
      0.316596638254034,
      0.267108620391315,
      0.395751596150612,
      0.523448119355491,
      0.347314935978691,
      0.308500789903374,
      0.468624873606663,
      0.423038988662698,
      0.516288702531476,
      0.189948207655148,
      0.468674605478531,
      0.449992719936668,
      0.42523341992478,
      0.354811014072008,
      0.504939355335157,
      0.22390090230699,
      0.354458545955041,
      0.398813093801551,
      0.435682400496428,
      0.362376783683,
      0.325424822586077,
      0.456677578595478,
      0.443536748143616,
      0.236809271492439,
      0.306936455360832,
      0.446658382717014,
      0.230611753252104,
      0.385370094733429,
      0.357423187057151,
      0.35054394663735,
      0.393457995178093,
      0.37917714556299,
      0.489431511091586,
      0.363065046590203,
      0.387293653710505,
      0.292212327242267,
      0.454441084152409,
      0.532339453678491,
      0.487534356740026,
      0.297814869074437,
      0.305524641349859,
      0.463855756006381,
      0.359696032338773,
      0.299226860940498,
      0.455949994113658,
      0.502301402832679,
      0.443642279889618,
      0.440247572699447,
      0.474799344185442,
      0.365332831787364,
      0.352957579908496,
      0.198451361665064,
      0.52051740044908,
      0.411865142313613,
      0.347893028741482,
      0.361928785603997,
      0.460261273410034,
      0.411713204253539,
      0.1237616603085,
      0.111644483533026,
      0.164442091921501,
      0.199588367514202,
      0.223687536944893,
      0.411225119438843,
      0.206666786317089,
      0.160989750712296,
      0.626087837273652,
      0.443673820931681,
      0.456832518828081,
      0.441319571427722,
      0.109381015892914,
      0.106187664057143,
      0.243266095879032,
      0.308966158811376,
      0.327204662876946,
      0.234655227596034,
      0.234660460121463,
      0.181926897661624,
      0.165056975355921,
      0.348361030224279,
      0.293731515694908,
      0.384891801723022,
      0.312433104872797,
      0.656467050336955,
      0.371735373854419,
      0.366181362989135,
      0.309589386083325,
      0.399022868924614,
      0.39855184835146,
      0.324336008559722,
      0.473102634078045,
      0.483698674761928,
      0.313219136277868,
      0.394696608307035,
      0.477000637175503,
      0.363307074585022,
      0.133798396581812,
      0.31749996352054,
      0.492739976140247,
      0.318269081537324,
      0.265607130263832,
      0.452015268590479,
      0.414461381064929,
      0.241680664437346,
      0.331729130960837,
      0.519134557690343,
      0.392244054339693,
      0.336899691985339,
      0.334846596739293,
      0.501376849187263,
      0.30827818795374,
      0.201458406916978,
      0.423034289038935,
      0.510798374727534,
      0.245933972578703,
      0.356731609508044,
      0.458705218700419,
      0.434700981233027,
      0.314467760647151,
      0.359557292199197,
      0.505984558023558,
      0.50114082875211,
      0.224793728395318,
      0.285876694997045,
      0.481752798265768,
      0.250008335174549,
      0.318864703150613,
      0.417723279988198,
      0.326164067389287,
      0.365972143775363,
      0.399445788687203,
      0.438746146246471,
      0.340246630200764,
      0.359115369828997,
      0.333199778959835,
      0.508185082768959,
      0.444124480518248,
      0.467965042978268,
      0.316861786987935,
      0.286897078591994,
      0.441678537172557,
      0.309500153636622,
      0.271058906966224,
      0.480161803664947,
      0.494343208095747,
      0.429690963488794,
      0.441412819509197,
      0.484170512996654,
      0.372871038542942,
      0.404124752948218,
      0.425893857672551,
      0.496409828572329,
      0.313054346564878,
      0.382248707310458,
      0.432416733670591,
      0.434869796460232,
      0.424305784659222,
      0.308281257604069,
      0.512701306386449,
      0.49525514950753,
      0.390084779983939,
      0.4483954555362,
      0.457628932090274,
      0.498694567605904,
      0.13408076127235,
      0.410019142791665,
      0.479378322333531,
      0.383851678070009,
      0.261155066491648,
      0.428553140734426,
      0.512335412888163,
      0.193893965299667,
      0.148326348092051,
      0.150355481790175,
      0.111158163112697,
      0.148071336864814,
      0.164856020787014,
      0.141886280636303,
      0.161684909104625,
      0.183725535606131,
      0.122505549263709,
      0.181685474839796,
      0.207534632175725,
      0.295933514325996,
      0.187910800307203,
      0.123128277642924,
      0.138693255422635,
      0.232373163257001,
      0,
      0,
      0.159204976217098,
      0.0732601876316797,
      0.0643933918854744,
      0.0665678469210467,
      0.0528781351844856,
      0.168098404918309,
      0.177616305339781,
      0.154101960758613,
      0.10298812712953,
      0.0596583062506472,
      0.0812931344952076,
      0.0890270879524127,
      0.0770839220064047,
      0.159051461050237,
      0.0844009625111742,
      0.146453064062402,
      0.0647007456183016,
      0.076862068929569,
      0.0906334278999353,
      0.091258474341625,
      0.184981276746203,
      0.0926481503507354,
      0.154755227741918,
      0.0970765828169805,
      0.0756974471625514,
      0.0620477279071319,
      0.10749689419257,
      0.277409325579845,
      0.31079117888046,
      0.459446401496409,
      0.312555042797107,
      0.407520243539672,
      0.310746095572568,
      0.312621438558445,
      0.54377940427917,
      0.428893630111352,
      0.449541208574758,
      0.428971634297599,
      0.356719753285411,
      0.437422197512607,
      0.427709071747921,
      0.414621460314807,
      0.413456838940583,
      0.480576767456053,
      0.465950428012565,
      0.403591968166085,
      0.353722810214926,
      0.477064461724068,
      0.315768268436119,
      0.260841920570144,
      0.408547849258155,
      0.524648639865575,
      0.244624090780861,
      0.270165977745098,
      0.46084725237656,
      0.327454905458563,
      0.460103163729784,
      0.373096424983775,
      0.529228263317372,
      0.449132208416265,
      0.386206137907046,
      0.41618637595112,
      0.454498195490601,
      0.376636204981789,
      0.380849432486749,
      0.408337908712806,
      0.479354281662251,
      0.390224613817301,
      0.291125998747945,
      0.315233659627859,
      0.455276299381326,
      0.251961304652474,
      0.433781708489281,
      0.464651561283952,
      0.430849352996108,
      0.283452476419724,
      0.314737867994415,
      0.453819687243168,
      0.21210008337242,
      0.279764934785293,
      0.348056015582783,
      0.487384002313582,
      0.183145300344877,
      0.359295703527897,
      0.459407132701942,
      0.235300738811334,
      0.323614982345775,
      0.458161613715219,
      0.481480057141369,
      0.456932883228902,
      0.45593209231516,
      0.408216100793504,
      0.437043910284559,
      0.435444791006983,
      0.466995897690496,
      0.300137703389962,
      0.436867612011572,
      0.476959133530048,
      0.46577531138437,
      0.387824773287797,
      0.48080188594554,
      0.36011186691936,
      0.247726342583477,
      0.367735556197345,
      0.512148920603893,
      0.324158457200842,
      0.348492211135874,
      0.417222911119406,
      0.440722158325921,
      0.232493576501135,
      0.186384624536158,
      0.527094861139405,
      0.484300433495058,
      0.209930046862212,
      0.386245868860393,
      0.452098389828047,
      0.444297781566187,
      0.227756500363365,
      0.458510287083746,
      0.558588710925534,
      0.307951192037199,
      0.228824430461212,
      0.382057845439002,
      0.415108450123509,
      0.161048089376736,
      0.467940134869389,
      0.468795221919347,
      0.358074460888893,
      0.340325828275955,
      0.396763538108735,
      0.393347825143502,
      0.157082478647997,
      0.381257515558027,
      0.260347946822188,
      0.468542159737816,
      0.371986127003588,
      0.549857114439008,
      0.395331039686582,
      0.310156245541756,
      0.345516450349613,
      0.22141841404516,
      0.412003915388705,
      0.451757226729586,
      0.462589650856686,
      0.428200259251588,
      0.369199891670742,
      0.458665522835139,
      0.32405988073787,
      0.438943203888375,
      0.475472622573075,
      0.483091348026978,
      0.303395264965761,
      0.406554807625065,
      0.481233909324335,
      0.412265044249392,
      0.36437343934187,
      0.335021533051497,
      0.528306102346058,
      0.51153888341549,
      0.366747162032312,
      0.431332553406848,
      0.470989799599889,
      0.566035589165851,
      0.117188868265258,
      0.497262006711689,
      0.460813081383974,
      0.357428866927879,
      0.198906573029927,
      0.438580578479657,
      0.476618556354374,
      0.345027296335904,
      0.353150599689318,
      0.520556460418745,
      0.464703349960549,
      0.375520780420885,
      0.398015405366242,
      0.484522187052177,
      0.208820891063573,
      0.221959666628252,
      0.468707921432817,
      0.505626313605333,
      0.325562364740276,
      0.408019705091717,
      0.431948745445649,
      0.408587957769797,
      0.362227236704393,
      0.436887669994043,
      0.438921580874827,
      0.466471666707009,
      0.404274204110593,
      0.271752265921132,
      0.491853129743264,
      0.397360923435266,
      0.381791360466935,
      0.606286229403904,
      0.469023667989356,
      0.466569012842285,
      0.293260949059562,
      0.262643294317438,
      0.594371368978707,
      0.385253672234232,
      0.263615307180178,
      0.390403966008539,
      0.48221073623676,
      0.409482458839001,
      0.226757592137679,
      0.459529124473848,
      0.421759526368848,
      0.203965271690108,
      0.349808018147968,
      0.535158453697201,
      0.477380987283185,
      0.211341379399815,
      0.280305577900086,
      0.47368187792822,
      0.208024783207085,
      0.293671547192212,
      0.501716704421077,
      0.567007192912103,
      0.310379201514093,
      0.217122102579224,
      0.420367544862946,
      0.368731800865137,
      0.52091448468604,
      0.360752152956688,
      0.532968013830887,
      0.368035640916357,
      0.379402699199081,
      0.406391281521365,
      0.434725063335821,
      0.230819275057597,
      0.25700386053962,
      0.476105269193196,
      0.468472171378307,
      0.37084083649645,
      0.343598052706995,
      0.361617272396091,
      0.357094878470413,
      0.288040143452904,
      0.305809977171497,
      0.33474187252639,
      0.463774105991561,
      0.476126880972978,
      0.395119838881235,
      0.321172238989814,
      0.411663960238717,
      0.285069682782745,
      0.469237655897261,
      0.57381495339875,
      0.47303905563966,
      0.255834553944612,
      0.468106260392818,
      0.54877277512606,
      0.212831955526416,
      0.241982618258914,
      0.38818407414552,
      0.540456535306225,
      0.255095097033772,
      0.324798134975014,
      0.460940134974397,
      0.47072944635501,
      0.346713236547448,
      0.335714555523324,
      0.504359772522714,
      0.389488788042135,
      0.351457529623039,
      0.189123256145749,
      0.391623547129711,
      0.404733946600124,
      0.328837017380389,
      0.401268708742646,
      0.47756974352839,
      0.348154812055868,
      0.352319292013774,
      0.401413457572115,
      0.498135360103749,
      0.440772036022469,
      0.299504643397329,
      0.450044650774173,
      0.418917534664972,
      0.254244908315879,
      0.291067938637099,
      0.496022818715233,
      0.312591923736863,
      0.300192255481559,
      0.431215283609335,
      0.451324808736942,
      0.325603962392198,
      0.353857634133143,
      0.487034417423498,
      0.28762865608911,
      0.333117008480504,
      0.258639750378588,
      0.468139278731661,
      0.267223605446436,
      0.436866021183524,
      0.436179307042087,
      0.289005757910728,
      0.478180216095126,
      0.392560816116872,
      0.303822081449133,
      0.449337559334611,
      0.492489019215263,
      0.393042863438839,
      0.358977400511985,
      0.484444991442154,
      0.317422466193952,
      0.266918869863416,
      0.317121431075583,
      0.514814744842225,
      0.33971246693308,
      0.266016438668997,
      0.429300609322859,
      0.509368938543889,
      0.370999904996896,
      0.281780063880582,
      0.464439050756237,
      0.46941724064713,
      0.564268839660042,
      0.259886245407032,
      0.450256837225471,
      0.466406598965825,
      0.429142778747124,
      0.366689402578555,
      0.546195520644569,
      0.239790694443968,
      0.397735771709851,
      0.377459961932072,
      0.431448883789014,
      0.360523721075634,
      0.315206240453309,
      0.475997237613935,
      0.424567010841858,
      0.27754728293926,
      0.332317640292837,
      0.433712387713278,
      0.226882646361422,
      0.372372240663858,
      0.356464513788848,
      0.375957577952281,
      0.407030400584964,
      0.368096399815755,
      0.458553560289176,
      0.366504465568818,
      0.412473792318419,
      0.303178130543284,
      0.559546843298411,
      0.52056049368912,
      0.468646010643972,
      0.307499094115457,
      0.323455508769303,
      0.460217890191827,
      0.360575422815601,
      0.291687739511856,
      0.466068660113858,
      0.506134687180174,
      0.456794977869712,
      0.423315407185464,
      0.467249581013776,
      0.39056872522852,
      0.36877855352754,
      0.159883880940338,
      0.536158810913654,
      0.409835384020208,
      0.356948434922795,
      0.360656109638206,
      0.466990876026191,
      0.43667060101701,
      0.122909036612385,
      0.0933133280650675,
      0.198388882097741,
      0.205835217596355,
      0.270697108148993,
      0.355947421706176,
      0.215575868470496,
      0.217929717097817,
      0.631691593566347,
      0.340400841212828,
      0.446412441480455,
      0.499635184090138,
      0.125233737699961,
      0.121202843906696,
      0.213487319984102,
      0.339413254497691,
      0.317263344279958,
      0.208461678346726,
      0.221589542277389,
      0.157080008368077,
      0.1442960555837,
      0.276282688683034,
      0.296825992063728,
      0.364541087743314,
      0.294604815570169,
      0.643527870777567,
      0.372520342009858,
      0.338855945454963,
      0.286790272210588,
      0.396039986740504,
      0.403658203127268,
      0.304413132904336,
      0.479269179266364,
      0.483348571816633,
      0.323603626931323,
      0.353494053706555,
      0.470008044122081,
      0.349046125106283,
      0.143735211106415,
      0.31593953680033,
      0.487227820379698,
      0.330876784748012,
      0.28152571647257,
      0.459304713203637,
      0.405554836398028,
      0.250323186798602,
      0.322127256881446,
      0.529141612997291,
      0.455926450131343,
      0.315752922411537,
      0.314569746082808,
      0.499622072024795,
      0.276024149994905,
      0.191368356586777,
      0.472201654766159,
      0.54477170017515,
      0.241318959820833,
      0.36878954392479,
      0.443907717760865,
      0.437767357715621,
      0.309155412312402,
      0.329412858127808,
      0.51344708888925,
      0.453490396426862,
      0.250016944454875,
      0.335182180513113,
      0.473257417511595,
      0.267954490285736,
      0.33566146835412,
      0.431166062458108,
      0.347664690454619,
      0.38656828216905,
      0.40086940462498,
      0.43406403031054,
      0.367874059644142,
      0.364247390088159,
      0.324419627398506,
      0.606781861848164,
      0.454365439622769,
      0.457398655658084,
      0.344668492382643,
      0.319796244480227,
      0.43954867724368,
      0.377163007094122,
      0.289674354207882,
      0.474609127299738,
      0.485932871795866,
      0.420806512154649,
      0.435340493572195,
      0.469325165537656,
      0.364933197829298,
      0.395370969151281,
      0.4222426779378,
      0.509296343966392,
      0.314744550821571,
      0.355982706237695,
      0.446410264837045,
      0.442992524518504,
      0.430587148727567,
      0.334458780301156,
      0.546447379826006,
      0.499235292906569,
      0.378370822472489,
      0.411317635878809,
      0.44349333851787,
      0.557276100727582,
      0.151606419031297,
      0.41711999483307,
      0.509663345321314,
      0.374664578327142,
      0.265060506532589,
      0.436683812184191,
      0.501643051244548,
      0.207276561419672,
      0.218407343416911,
      0.198409771586352,
      0.207983549140293,
      0.0991529538838933,
      0.136147283077503,
      0.121885648752293,
      0.186050529022049,
      0.203740380200894,
      0.127405091077619,
      0.197411391604469,
      0.18694258562641,
      0.301678080330339,
      0.154904602252576,
      0.115379109680035,
      0.0932870825656244,
      0.219144194635774,
      0,
      0,
      0.17110957384697,
      0.149690779516283,
      0.113705723398124,
      0.085147464078812,
      0.0737875891247041,
      0.141901759457453,
      0.149572059664161,
      0.145079898983162,
      0.133541505337573,
      0.0781310008332756,
      0.0450623410934053,
      0.0921449308138795,
      0.0758433970198315,
      0.155701420930751,
      0.0708534448232163,
      0.169557016607686,
      0.0688089631854453,
      0.135306044753769,
      0.0854932049933629,
      0.0825175750160979,
      0.155455853703226,
      0.0761901991275387,
      0.179455497510358,
      0.0429308363158224,
      0.135058078170122,
      0.084309418632098,
      0.0973475014876117,
      0.310173896018659,
      0.299450060515954,
      0.417848037390498,
      0.31022184793064,
      0.432248687410559,
      0.272739775021808,
      0.303577997334269,
      0.562535792018143,
      0.433501764758502,
      0.453553320540643,
      0.405749965716868,
      0.286725976829292,
      0.410190262393254,
      0.407840240694129,
      0.432707177326602,
      0.411872400132393,
      0.479977759216582,
      0.476224340217792,
      0.279645426468742,
      0.365437628184771,
      0.499146884735654,
      0.346480198145563,
      0.227541794688263,
      0.439494289477089,
      0.533860453937564,
      0.252729136979527,
      0.294124704799799,
      0.450200384907263,
      0.3401976619991,
      0.43210041881582,
      0.379947919560917,
      0.507858882430916,
      0.406266051815704,
      0.315443450819861,
      0.3908597081903,
      0.487559646360924,
      0.392717139069774,
      0.416945018898906,
      0.368810755071195,
      0.42992732841873,
      0.396171288660568,
      0.214443052419503,
      0.363159955307866,
      0.46834152994798,
      0.25753342850313,
      0.399438544271394,
      0.474842296943647,
      0.452041963600837,
      0.28582979418459,
      0.33589928709428,
      0.495696634443907,
      0.197809002951024,
      0.279377271472358,
      0.347583825822529,
      0.471006503530836,
      0.20787002816598,
      0.361179110987346,
      0.486483759970878,
      0.244543748139634,
      0.310826179220541,
      0.509264766499327,
      0.525538253372931,
      0.436088143627021,
      0.442059564876741,
      0.41953477078136,
      0.404948327548508,
      0.454863008115202,
      0.48104280392571,
      0.279414017542826,
      0.394664337982518,
      0.481525942815605,
      0.501610985904017,
      0.426962376424646,
      0.485839155201738,
      0.388285915825566,
      0.220280226438543,
      0.396561833278969,
      0.539620770245831,
      0.338102331533981,
      0.33823302911197,
      0.42047227745094,
      0.465679756471434,
      0.225051137497408,
      0.167795118162083,
      0.504328576840712,
      0.455970101544965,
      0.209402945542708,
      0.355961514540237,
      0.493455128806196,
      0.523045832059546,
      0.226176389825048,
      0.442200239259816,
      0.513116102360399,
      0.269592113578061,
      0.230764678123168,
      0.406481113776083,
      0.41906482697293,
      0.157434807816266,
      0.436404382562331,
      0.45154134110828,
      0.318900151641516,
      0.37930515382762,
      0.385907765488776,
      0.396260544954448,
      0.147087688191232,
      0.378373140486049,
      0.259019296864611,
      0.478779333568875,
      0.387794734289777,
      0.492290892610604,
      0.392604476159123,
      0.340863046257587,
      0.360548457938364,
      0.240593049471385,
      0.32501069549334,
      0.44928243646677,
      0.445560810737446,
      0.386572979780196,
      0.358904596218247,
      0.448443115095624,
      0.286583703403223,
      0.444128244659108,
      0.49922108707292,
      0.478031182261347,
      0.305696421345149,
      0.40440355477836,
      0.484571252916562,
      0.419644998581384,
      0.379690883070294,
      0.356890311465139,
      0.545819931610898,
      0.495576437689968,
      0.348777228694175,
      0.425386920482993,
      0.48531630377766,
      0.512157792014507,
      0.135986700959847,
      0.47153219724911,
      0.469568619428571,
      0.350835812669304,
      0.210319900963016,
      0.481035143613625,
      0.480589829962477,
      0.355290182276402,
      0.378959364711265,
      0.515086946705445,
      0.46227696115244,
      0.359893962647843,
      0.395464331554179,
      0.486015810703142,
      0.145238349711343,
      0.231592701872282,
      0.47779463054184,
      0.47555528309786,
      0.3427917316116,
      0.398270253860967,
      0.479850743120017,
      0.418673210973051,
      0.372618549153985,
      0.45385039982014,
      0.457801767609753,
      0.465343985365514,
      0.410561760452087,
      0.311711780110854,
      0.249864771023002,
      0.403025782010079,
      0.385077425617424,
      0.593036792739678,
      0.501931487927351,
      0.487430752710378,
      0.3041591286283,
      0.337205372460064,
      0.582062757472872,
      0.400403352544833,
      0.272347620801666,
      0.432430606344291,
      0.500841303695561,
      0.455662661559103,
      0.270739478211417,
      0.473800469120808,
      0.437655895006153,
      0.205419288147714,
      0.340969089897346,
      0.501471007354848,
      0.442105122764719,
      0.193861903152421,
      0.316500487857819,
      0.505602651509046,
      0.230415543083178,
      0.26979905299288,
      0.460628108040115,
      0.541698314774836,
      0.244866764067891,
      0.235539336763369,
      0.476163437945053,
      0.354412722865951,
      0.546652208925133,
      0.359919525091594,
      0.513411307685146,
      0.395821696775539,
      0.408704706202747,
      0.459822047882286,
      0.462818337895543,
      0.256415018892363,
      0.263309314815984,
      0.496289588863058,
      0.451057762491131,
      0.361134882729021,
      0.347078989132437,
      0.358790526047897,
      0.391184520975754,
      0.269269081352408,
      0.359294622758872,
      0.334568262113748,
      0.443979149704587,
      0.48086781251035,
      0.375984912151243,
      0.269722423100684,
      0.438295251675182,
      0.308279275504618,
      0.451893773855933,
      0.563979507259028,
      0.474442691283532,
      0.263341351116738,
      0.358553145692453,
      0.586758360968724,
      0.218228111835079,
      0.223749813628685,
      0.421920160941229,
      0.524098029999055,
      0.23721730586178,
      0.306197688006336,
      0.446452265624671,
      0.452007861544134,
      0.361597264702806,
      0.336968602621183,
      0.504102719947869,
      0.342476450883373,
      0.298014926674338,
      0.205711470787004,
      0.4458718605071,
      0.38324838662093,
      0.353759918445666,
      0.417552393028253,
      0.441996968482011,
      0.363529132335142,
      0.343510997324511,
      0.430815963741315,
      0.500322685828525,
      0.439514957036163,
      0.306521024065163,
      0.447087803162244,
      0.402285079911877,
      0.268883829831277,
      0.289812080052883,
      0.495924471085112,
      0.272226619399758,
      0.28592143657459,
      0.384218125511213,
      0.455238294845107,
      0.333032623231691,
      0.352957198441801,
      0.496179120198999,
      0.263400530624488,
      0.320318668985948,
      0.251994838933867,
      0.441526543912962,
      0.267705602077859,
      0.4294716812587,
      0.452961543544941,
      0.289557735898985,
      0.467718407449571,
      0.357461557916877,
      0.274911550952335,
      0.483354841305333,
      0.481632158081284,
      0.38219483217243,
      0.300776125682166,
      0.493523506663886,
      0.357319804025697,
      0.267685887673779,
      0.368006383430936,
      0.504632729112062,
      0.345969143197725,
      0.292679473551663,
      0.433573943783231,
      0.482868532271288,
      0.365198361361241,
      0.298118154141065,
      0.481418681135833,
      0.468132125677689,
      0.564681180591435,
      0.288644163623117,
      0.48136912933109,
      0.462817428327163,
      0.429274153334138,
      0.36296540628892,
      0.566541120647943,
      0.257429414632337,
      0.357973737302456,
      0.439186025695998,
      0.466761407327661,
      0.326525887348297,
      0.322694576817469,
      0.467471887517803,
      0.444187096998584,
      0.315237393505865,
      0.301049017494899,
      0.469259102804173,
      0.260894848487535,
      0.387498251003726,
      0.366589866348484,
      0.344202957658929,
      0.3996831805721,
      0.389546662813458,
      0.438420532585397,
      0.379411982307391,
      0.352988327096663,
      0.307822955242755,
      0.557637649718588,
      0.499822618030941,
      0.46100411454452,
      0.326028169706567,
      0.338959926566355,
      0.493250877901459,
      0.379455494726647,
      0.314088651584452,
      0.479996996269004,
      0.523318630972407,
      0.419888438083659,
      0.396517415213782,
      0.477159457498803,
      0.384885285530519,
      0.356525804507324,
      0.158272971955293,
      0.525642280008675,
      0.387708384499706,
      0.388273126570021,
      0.399404721015832,
      0.483318098288734,
      0.424568894701906,
      0.131209429628876,
      0.078949094656866,
      0.150829325344561,
      0.251633635814644,
      0.347455294554695,
      0.350895673959044,
      0.235397019653105,
      0.211299643799993,
      0.616884904179037,
      0.361689687117904,
      0.419875767412275,
      0.484046887704203,
      0.137655894895056,
      0.146476232445148,
      0.200468486875198,
      0.329661849417275,
      0.309593960825373,
      0.177625464797387,
      0.202696953711197,
      0.172770868523008,
      0.181186126501927,
      0.294968352207957,
      0.298969396572559,
      0.258483660177129,
      0.293502501323537,
      0.642092810194432,
      0.345360681636869,
      0.314228233631796,
      0.293522107428099,
      0.386369624143302,
      0.411103493888477,
      0.341070700458359,
      0.469195198812406,
      0.486285698081191,
      0.324157296013805,
      0.404957202761866,
      0.477316027998158,
      0.363481220926162,
      0.1731304115172,
      0.314514821819626,
      0.490290876889871,
      0.36927852146129,
      0.282665539846861,
      0.467433288447021,
      0.425444992313004,
      0.269743615566119,
      0.323690258870101,
      0.556709392182749,
      0.407046163987704,
      0.348666267776964,
      0.311505241290662,
      0.504060091482293,
      0.241499218265115,
      0.229648832130562,
      0.460300086596494,
      0.481856109811531,
      0.259286840806194,
      0.346519068357344,
      0.488782662875819,
      0.439430489487543,
      0.284492716073965,
      0.355576098879645,
      0.494053050015148,
      0.475880192295313,
      0.303164694911103,
      0.320464304265909,
      0.51182384798799,
      0.272419523078613,
      0.361757698034245,
      0.440747251272946,
      0.318721361068564,
      0.368872132177882,
      0.404064182287985,
      0.431477740424538,
      0.344282027109493,
      0.355297390102221,
      0.331768978987815,
      0.575401471758559,
      0.452630504209776,
      0.443928581440316,
      0.328872024953136,
      0.306008697855228,
      0.434754408203584,
      0.355628894155593,
      0.290854392242392,
      0.471974618218477,
      0.460303718718267,
      0.422383509130396,
      0.413353566228125,
      0.461600624267382,
      0.328245785534185,
      0.408575801866025,
      0.463279685751402,
      0.514968329868081,
      0.32844455909232,
      0.36359414923054,
      0.452937466353418,
      0.476814491340001,
      0.370325758206677,
      0.364684044486675,
      0.546277225888292,
      0.489199271102257,
      0.360015068308745,
      0.392890362875721,
      0.466098767925968,
      0.502869486705867,
      0.124186450701895,
      0.410949103740434,
      0.488306144171536,
      0.380660019225926,
      0.278383843422285,
      0.446982230881865,
      0.509958100107003,
      0.234149764696072,
      0.232132578458998,
      0.223871799734388,
      0.263570225606382,
      0.125523927470649,
      0.175650615538557,
      0.166239435677155,
      0.182539884123533,
      0.237573710294961,
      0.149243365036442,
      0.199336343000915,
      0.195950571996506,
      0.271341698037037,
      0.1971658492672,
      0.126549395811098,
      0.0959720111175718,
      0.206722499946806,
      0,
      0,
      0.217250007594064,
      0.205513523176768,
      0.157517415700591,
      0.112900025532921,
      0.108479769989164,
      0.158482417468171,
      0.151911151579184,
      0.160354749250029,
      0.17119124401946,
      0.117649373343292,
      0.0594186014494008,
      0.109503811797346,
      0.115936949206763,
      0.153050500065485,
      0.0419446223232087,
      0.144054399908364,
      0.038673076016774,
      0.0329195861716727,
      0.0625291584266225,
      0.0568003026973881,
      0.123015717422527,
      0.0271595308004182,
      0.154115468368091,
      0.0251471202858406,
      0.0433433919928749,
      0.0485512441428135,
      0.0423280935763378,
      0.317320326338499,
      0.301900556372178,
      0.381677566248567,
      0.267321506829444,
      0.419042956370136,
      0.227010215470255,
      0.338067316978474,
      0.518477823654488,
      0.431485969551915,
      0.435664056743662,
      0.369547189674923,
      0.272237998246193,
      0.369559670044253,
      0.40500889724556,
      0.423350541350306,
      0.413816391660848,
      0.459328305880963,
      0.477687836346784,
      0.222476153214509,
      0.386177700416867,
      0.509766509327705,
      0.327744291670259,
      0.263678174884169,
      0.399234110624862,
      0.523552208411027,
      0.280598624309984,
      0.32396183914054,
      0.464030860794144,
      0.376682221777585,
      0.457543353111808,
      0.320673282262992,
      0.505332583714712,
      0.361312684921875,
      0.34734700261495,
      0.3623172422189,
      0.513864541788032,
      0.37662831575089,
      0.457660948271645,
      0.334141567270887,
      0.445190427478631,
      0.417759165039208,
      0.163870989534291,
      0.363925333248491,
      0.499667553734985,
      0.22737221783301,
      0.356022796324291,
      0.408620176206832,
      0.43055422553898,
      0.238466486286658,
      0.328258561483294,
      0.517672517549134,
      0.210618638914022,
      0.280296353154579,
      0.382706417064765,
      0.465178240951446,
      0.225992777786094,
      0.335790112703952,
      0.502281770855606,
      0.236192226514936,
      0.346121991066745,
      0.469138323845578,
      0.475045298987048,
      0.423068252264913,
      0.414376276269599,
      0.437556014554036,
      0.314804124287454,
      0.470320916195103,
      0.42958356250226,
      0.306431537763181,
      0.364898794284875,
      0.52375723003351,
      0.499353097364447,
      0.399871425568374,
      0.505913299364707,
      0.384255344975834,
      0.213999576114492,
      0.341625606509631,
      0.55443324694098,
      0.263690268899564,
      0.279696882038255,
      0.448716712179689,
      0.49649473962225,
      0.175415607866152,
      0.124163475593243,
      0.485482075915579,
      0.387957764726876,
      0.2074971863116,
      0.320250090655283,
      0.486945864115732,
      0.487921771386503,
      0.142468266962513,
      0.396538762477553,
      0.475321528237457,
      0.193857676908839,
      0.198040980021273,
      0.379231091685692,
      0.425702216169456,
      0.119932129668012,
      0.432651627110781,
      0.425075452436623,
      0.259159429013944,
      0.435755423824282,
      0.403256969979947,
      0.41786631676118,
      0.145651809165371,
      0.3958614611959,
      0.277942084644407,
      0.477238558926458,
      0.390939267485684,
      0.542577014609047,
      0.345136115346795,
      0.366211921019666,
      0.388829359158944,
      0.21476687900936,
      0.288036008082388,
      0.44637348135495,
      0.432694418037517,
      0.400718007818058,
      0.380831996164194,
      0.454618670984442,
      0.307498700285296,
      0.431596411630349,
      0.477379324418104,
      0.47669360707399,
      0.30151744849758,
      0.368477260557269,
      0.504187435716831,
      0.419404554545683,
      0.409945292645098,
      0.332372013499008,
      0.568695697321144,
      0.460285363146434,
      0.385037685262593,
      0.428870341506119,
      0.494055363844153,
      0.525626592207827,
      0.141817812521524,
      0.463323898009508,
      0.419312048005252,
      0.366251411885158,
      0.251823412514446,
      0.493989497865758,
      0.51970533684865,
      0.356006724108469,
      0.40110994833287,
      0.544767339327463,
      0.439583648955069,
      0.375144715157816,
      0.386938776258565,
      0.516372158751016,
      0.119436843508556,
      0.246238856193987,
      0.431779644035964,
      0.478007437136387,
      0.349883671443793,
      0.406507072591864,
      0.488507013086582,
      0.444776718517722,
      0.379937383757177,
      0.450321568415416,
      0.444072654080338,
      0.445195538713335,
      0.398247397121874,
      0.347541916897507,
      0.221419378792749,
      0.401315610330203,
      0.377943637496149,
      0.589915278064395,
      0.479018746889755,
      0.453052502776722,
      0.312553317025863,
      0.353131205322457,
      0.604821802721708,
      0.371681703515321,
      0.210466619235331,
      0.427137408558628,
      0.492120365438724,
      0.456545318782139,
      0.277021675401978,
      0.471870138292556,
      0.466743478312847,
      0.176094957151439,
      0.332434791022926,
      0.532434470594584,
      0.444046821797692,
      0.222657587209816,
      0.322242174676607,
      0.52211886793502,
      0.2037654371238,
      0.204839389289366,
      0.415473838004656,
      0.567621551839195,
      0.301396189577284,
      0.253555143079375,
      0.479530877726724,
      0.392441565383462,
      0.535225195792504,
      0.373653252691217,
      0.467020641078601,
      0.367991054974113,
      0.397285498545598,
      0.399037409242008,
      0.486603816962693,
      0.176667729876561,
      0.229609447652,
      0.483784495531353,
      0.446164134449439,
      0.392736025412443,
      0.323595156992041,
      0.332079095470142,
      0.377940162299071,
      0.272048935479855,
      0.287982338114605,
      0.345056369602379,
      0.432911034743227,
      0.472030363073208,
      0.338924190780731,
      0.312413967352297,
      0.444117210973781,
      0.306253192467289,
      0.432685631700207,
      0.549360608071254,
      0.465496207952515,
      0.227785182567597,
      0.306897971519909,
      0.609683584350683,
      0.183397177522499,
      0.295502371179832,
      0.400723091340119,
      0.509487145191703,
      0.230349014956977,
      0.30992397979256,
      0.483468907962503,
      0.428521277450093,
      0.360453249745363,
      0.332348642099605,
      0.517939910997252,
      0.320883851086336,
      0.28465881936938,
      0.231520060354246,
      0.447884917536281,
      0.380487078728377,
      0.354583076071658,
      0.393542501137163,
      0.416669144402489,
      0.325969802593407,
      0.361796869788254,
      0.443494431704581,
      0.520847691941412,
      0.386489030328223,
      0.283404247410289,
      0.44560088355309,
      0.389837525107582,
      0.227463088969772,
      0.29774061901407,
      0.516702801053354,
      0.246669351229558,
      0.207827612364531,
      0.337559115769904,
      0.454597014243839,
      0.304072130784062,
      0.357726745133193,
      0.504565728789724,
      0.240315103931624,
      0.342192692281647,
      0.233839176341674,
      0.437172261521715,
      0.245405026913697,
      0.423439883908145,
      0.461066615379497,
      0.274438264463012,
      0.492391371564391,
      0.318724957390569,
      0.22671777146825,
      0.484112586644092,
      0.443209035312465,
      0.398751779953847,
      0.250102105089246,
      0.505701422421907,
      0.335073243427877,
      0.222298978892212,
      0.324187891883472,
      0.506980070388818,
      0.361822669312908,
      0.299787751371676,
      0.442161547857543,
      0.490979079679345,
      0.377430566449151,
      0.285964116455861,
      0.496108858819782,
      0.42071729616464,
      0.530525792446983,
      0.316049425646985,
      0.49945305623801,
      0.434056774690298,
      0.457876859843237,
      0.33382833337784,
      0.507782463148762,
      0.231396908221176,
      0.384005886412582,
      0.428057796826327,
      0.477615747159536,
      0.338219672921695,
      0.299204382651225,
      0.428108580729094,
      0.395729843565829,
      0.337324693584635,
      0.305573088695469,
      0.484501929940369,
      0.288657299939641,
      0.315206289361125,
      0.386406991141017,
      0.328530081619834,
      0.409374027244162,
      0.393715812335044,
      0.416220408954043,
      0.352244373916258,
      0.385695294219758,
      0.272732483639753,
      0.500130692818113,
      0.504636622285412,
      0.452593609971593,
      0.337578215599572,
      0.356617574902136,
      0.500523056473068,
      0.391938556396282,
      0.337547873161038,
      0.472448504532914,
      0.509431318586374,
      0.405364576454844,
      0.379881069770179,
      0.483919737143617,
      0.390265509309206,
      0.378996809538571,
      0.232374614652483,
      0.522217602633831,
      0.400085224599015,
      0.387835757252924,
      0.42910788443525,
      0.514304333178616,
      0.445874402617646,
      0.0489388127456272,
      0.0958941020774115,
      0.14640050530864,
      0.213073378287382,
      0.32878193827545,
      0.382181432036723,
      0.233465581753128,
      0.10661394960923,
      0.606005779722979,
      0.410692098803633,
      0.353378205448897,
      0.514734373322062,
      0.174320954276726,
      0.155876901534006,
      0.231804866023683,
      0.305511622034796,
      0.297923261137193,
      0.181602953146544,
      0.23066765950577,
      0.161310975999656,
      0.245109003467659,
      0.275455696496332,
      0.278581664988114,
      0.193879818046652,
      0.323572472151438,
      0.630003792880124,
      0.302032415483557,
      0.310726162574388,
      0.310038372352385,
      0.400443026426751,
      0.451464778331067,
      0.343022771461518,
      0.466926413378114,
      0.448369547427049,
      0.327509511354852,
      0.396368336476808,
      0.499342102558796,
      0.327752625760466,
      0.161461272761666,
      0.307105885618004,
      0.501263214839613,
      0.397649367462576,
      0.29857733999249,
      0.512154509960183,
      0.431157188869149,
      0.290259545816252,
      0.329438234635957,
      0.559490363831026,
      0.356398187899795,
      0.348810820650676,
      0.368108398801144,
      0.522185772846211,
      0.19787743759224,
      0.225158587373489,
      0.446782486811465,
      0.467480036232922,
      0.210432467446672,
      0.35522161349458,
      0.473610069691004,
      0.434245272617117,
      0.274204193099086,
      0.346355349515869,
      0.460062614142047,
      0.420662427139928,
      0.338402489566006,
      0.323488972060708,
      0.520158259158794,
      0.297786337183594,
      0.337963089621727,
      0.376444605313393,
      0.312736075952352,
      0.374843613940756,
      0.402258930910061,
      0.406386032363603,
      0.347902096672013,
      0.365706371040523,
      0.321688900947191,
      0.500123632782851,
      0.424402408709134,
      0.418155965947251,
      0.315155537019717,
      0.303458263276752,
      0.448222122880462,
      0.37300477221,
      0.28548298026849,
      0.464517228057402,
      0.467447809855018,
      0.429537780918348,
      0.383869897402831,
      0.483505014788931,
      0.304607811635352,
      0.406540638387653,
      0.438276909037937,
      0.526770491338294,
      0.318114970251232,
      0.372501215249429,
      0.473803641279527,
      0.482217426596294,
      0.414248524983784,
      0.344552706489141,
      0.544858490026164,
      0.467105998045163,
      0.365768639804354,
      0.375602406442108,
      0.501038339030653,
      0.532164825626178,
      0.17521180385581,
      0.391618699242498,
      0.439480991814127,
      0.352846386751609,
      0.255697372298146,
      0.434305538499785,
      0.545205386075066,
      0.175078267179858,
      0.188460511630045,
      0.181236654376012,
      0.244917846480678,
      0.093794126237783,
      0.162354796398209,
      0.163989686960742,
      0.13876867906281,
      0.209275524143623,
      0.149028439509674,
      0.178546656525918,
      0.194688071491481,
      0.231606721549401,
      0.187818171569591,
      0.229315990045672,
      0.221895589834614,
      0.236977536666729,
      0,
      0,
      0.124844079518031,
      0.0830900957140834,
      0.070401108561691,
      0.0118756832183163,
      0.0929792125554266,
      0.168941202552154,
      0.142710673410097,
      0.152710499798255,
      0.107490575474773,
      0.0457894517399434,
      0.00196856931974881,
      0.0996837739909911,
      0.0822571751442553,
      0.170126752018987,
      0.0373169800374884,
      0.128139616556115,
      0.0422915080790077,
      0.0953787609725987,
      0.0272282376785047,
      0.0438602756651804,
      0.138463265558725,
      0.0334590580123028,
      0.134574702045731,
      0.027452571462824,
      0.0469400762888177,
      0.0828697313940681,
      0.103874528254378,
      0.294290303003976,
      0.308601698762883,
      0.325458448326318,
      0.259686432510222,
      0.39637758190331,
      0.204563506746196,
      0.309772266792368,
      0.59244150543152,
      0.429527739891888,
      0.441853046289944,
      0.417858687368495,
      0.3467403353588,
      0.371988871561376,
      0.416217656154223,
      0.413550562223004,
      0.464843715260469,
      0.42791906731268,
      0.445924690964503,
      0.195155256379709,
      0.410059014572699,
      0.47223759770429,
      0.3452330482737,
      0.304527056283716,
      0.357525186287748,
      0.516392521011549,
      0.309940019011914,
      0.327622613280907,
      0.433732173854687,
      0.330476527106176,
      0.485028608914377,
      0.330786593526637,
      0.496389224306053,
      0.341028215034333,
      0.285240227551138,
      0.345665383255531,
      0.477198800234197,
      0.360482576398285,
      0.414265427213565,
      0.346168506083068,
      0.444011799911302,
      0.414592572416279,
      0.143044949156449,
      0.341322318507715,
      0.433014116008318,
      0.215907050705271,
      0.324701981458801,
      0.428125053371495,
      0.41412687300902,
      0.212338404557061,
      0.297055970822253,
      0.474095134157231,
      0.224145951505161,
      0.284648564103192,
      0.409781253059784,
      0.439773235957666,
      0.209719422827293,
      0.341552180349975,
      0.457359247575765,
      0.216669182300568,
      0.32117141700165,
      0.435282250505658,
      0.437599304343933,
      0.397621639385691,
      0.423393015393954,
      0.429973839468012,
      0.28888340434505,
      0.447095977434695,
      0.419380468877535,
      0.272260919086694,
      0.32373463274884,
      0.482621273017675,
      0.492806528675635,
      0.346951401559628,
      0.45748194596828,
      0.375954937695717,
      0.198079273129777,
      0.32855967678253,
      0.483866535109171,
      0.284499540553163,
      0.260304422178529,
      0.399542507757453,
      0.439889425920676,
      0.175318842063109,
      0.0842364702103402,
      0.482512426202935,
      0.456197793948863,
      0.203356236331502,
      0.318232577523066,
      0.446381604644346,
      0.481446022792043,
      0.142699205454649,
      0.383245952895031,
      0.514940873164714,
      0.16914018883208,
      0.186985520915959,
      0.345977621624376,
      0.39530311088505,
      0.122152273102742,
      0.459126913912384,
      0.453328026549189,
      0.24190381958594,
      0.437899362502839,
      0.357816575403081,
      0.399752440517873,
      0.163428096133922,
      0.386033072087697,
      0.277942342394497,
      0.417787612088669,
      0.375175370557242,
      0.583878325866147,
      0.331166325949802,
      0.366957004580338,
      0.3589181895714,
      0.194200665601639,
      0.286721647413452,
      0.428929147049217,
      0.451576092850436,
      0.397850049575039,
      0.347031527074993,
      0.462938708330429,
      0.30528311783636,
      0.421305492696351,
      0.437182597553243,
      0.466418569760712,
      0.328287599593289,
      0.393574646863855,
      0.453646562949157,
      0.39820306656863,
      0.455900215326193,
      0.305357912587309,
      0.517386625950881,
      0.443470917758635,
      0.361918350249768,
      0.37999145262261,
      0.429794140587198,
      0.518403636196423,
      0.136274742679217,
      0.471038658109189,
      0.47734754920157,
      0.375725237040114,
      0.253522224105114,
      0.468466233340897,
      0.513179535702886,
      0.30193783956606,
      0.331951573293598,
      0.577799909970828,
      0.407005332454573,
      0.351683170835471,
      0.373717522820499,
      0.469414599276888,
      0.139284630378739,
      0.207203056047716,
      0.445130561788184,
      0.468678833827683,
      0.327488341389879,
      0.394869005557547,
      0.460628278128332,
      0.427815540041655,
      0.386088391802512,
      0.458229546510631,
      0.419638503845682,
      0.412209158649968,
      0.388388881055662,
      0.331643785269425,
      0.245343720074064,
      0.383972154025205,
      0.421202313724235,
      0.613447594892788,
      0.46038838043593,
      0.449982644545985,
      0.328486278809952,
      0.348837726562657,
      0.618777765346633,
      0.369486941432662,
      0.241144886902163,
      0.355081615571229,
      0.478317556179104,
      0.416930525211507,
      0.285824874652889,
      0.453952455610489,
      0.420596222896984,
      0.161384466585928,
      0.378446318377662,
      0.545098621396492,
      0.470667481577939,
      0.231220458009073,
      0.290361663116719,
      0.49919873255509,
      0.206631327162852,
      0.280083662953791,
      0.42913320590685,
      0.550121255068007,
      0.28590097226379,
      0.198702926444239,
      0.452350975512991,
      0.338684876114749,
      0.565050856119707,
      0.404588525177298,
      0.488203717313925,
      0.379112997518179,
      0.29372916177256,
      0.343975958626695,
      0.438229545446039,
      0.142289456633239,
      0.21896306117694,
      0.489560574164501,
      0.456476001456128,
      0.438132492116182,
      0.351257020779037,
      0.332424692751778,
      0.351738702437153,
      0.291117517050528,
      0.184911368119642,
      0.309621104247914,
      0.404055317056289,
      0.48558590582325,
      0.288374774277597,
      0.331384044415451,
      0.423378211624472,
      0.261538485233191,
      0.384202228554217,
      0.466136469149693,
      0.450229931550785,
      0.201352062239021,
      0.321812894109973,
      0.621095486721415,
      0.216793211151029,
      0.242487177851661,
      0.353197462484066,
      0.493657149787459,
      0.210712921633408,
      0.324669844965458,
      0.441510187536501,
      0.397193899473067,
      0.399128882843205,
      0.361460370459521,
      0.478317939011195,
      0.324018161898914,
      0.284608570804422,
      0.29644635460101,
      0.410247698448635,
      0.37335758932519,
      0.314031668996569,
      0.394464393282512,
      0.430041505573754,
      0.307103841794749,
      0.262277428495893,
      0.416029808567643,
      0.48548478244975,
      0.362488903814495,
      0.264702797651674,
      0.440053440243243,
      0.368238942345264,
      0.207382656291168,
      0.275550216604579,
      0.495922812477003,
      0.278760201451986,
      0.211893572813142,
      0.296323553576334,
      0.411014372257498,
      0.334968244200124,
      0.363007106288987,
      0.510844540528249,
      0.271035919958843,
      0.305795727953912,
      0.219170580837599,
      0.398582241548387,
      0.25365382937567,
      0.442122618028426,
      0.43588795933343,
      0.266441000062626,
      0.480284626599662,
      0.305286490272177,
      0.230519041297095,
      0.451789379343349,
      0.454127139178685,
      0.411967673205612,
      0.279418009830758,
      0.486329837049902,
      0.299108006303061,
      0.204623169556572,
      0.285845769085639,
      0.478204106200981,
      0.375979144038085,
      0.278547606364559,
      0.434279119487142,
      0.458257431335093,
      0.342088329841182,
      0.293951488576917,
      0.487333129537608,
      0.432084426487984,
      0.550761205810687,
      0.245125752455929,
      0.524495527823496,
      0.440384154600705,
      0.421358679627387,
      0.330160555626428,
      0.533007021482432,
      0.217386737644528,
      0.347951630632832,
      0.3887012258434,
      0.43889609617171,
      0.351273891831321,
      0.301968161742775,
      0.46393759750251,
      0.384304417709891,
      0.284887915042006,
      0.438935496011205,
      0.436673027150066,
      0.27382238894792,
      0.333761005221657,
      0.379616004465072,
      0.330955652432364,
      0.372749238345649,
      0.360803424943954,
      0.412909900522229,
      0.345202260961552,
      0.361875784684906,
      0.26663665739223,
      0.512710361637314,
      0.483734615200639,
      0.486949276433386,
      0.344969088417747,
      0.337672119336523,
      0.475455995840901,
      0.335770597576436,
      0.339113753675446,
      0.407365130185478,
      0.477028371522639,
      0.406436425607458,
      0.374195950646859,
      0.430033102336597,
      0.357593340227977,
      0.382326245081985,
      0.206062193202004,
      0.513865155029163,
      0.429142167448828,
      0.354741631651841,
      0.397102160985041,
      0.488103902044234,
      0.490705831103112,
      0.0715337801076541,
      0.0757691170912918,
      0.134052950217873,
      0.130040582887313,
      0.267590937701122,
      0.35764089064231,
      0.227963441314946,
      0.135672914191199,
      0.617689368413009,
      0.372473894493493,
      0.309304205535001,
      0.497018609891854,
      0.156544989342199,
      0.142159666526306,
      0.272024816968869,
      0.324111934386917,
      0.283966806766052,
      0.207797446027914,
      0.203283405166097,
      0.185613305810129,
      0.253445050800777,
      0.273347016262077,
      0.224726530035648,
      0.184332196502677,
      0.316552969587755,
      0.655883331967462,
      0.329090938117389,
      0.3197099955723,
      0.349300267479236,
      0.38535988590729,
      0.410509996479675,
      0.334697265304095,
      0.433481714656558,
      0.424528666298624,
      0.293298749617944,
      0.374088163037467,
      0.480624713569146,
      0.334121178882611,
      0.140301177345903,
      0.297017358043404,
      0.47672706527573,
      0.378296067336396,
      0.296603022393839,
      0.468829395626551,
      0.413144712026709,
      0.260522987188488,
      0.27055777583333,
      0.519747457970767,
      0.388360001331284,
      0.318895128519375,
      0.343798817265333,
      0.478042768217742,
      0.215360883393657,
      0.218977322054187,
      0.42149626961562,
      0.495268293778602,
      0.19345767137594,
      0.337574544657022,
      0.442039006531046,
      0.40007456094055,
      0.338056431581962,
      0.331386735902246,
      0.477302067631055,
      0.429917364252848,
      0.253731852052786,
      0.488982827018454,
      0.475152304317547,
      0.301853253690238,
      0.331746937074287,
      0.390354952832523,
      0.281296009639362,
      0.344890815636327,
      0.368475935513309,
      0.383363807437102,
      0.345662296679614,
      0.368276972862279,
      0.288274127519751,
      0.538404410423401,
      0.403505134353316,
      0.470748468697298,
      0.318653265110943,
      0.278923081501446,
      0.432358694188251,
      0.375079595488339,
      0.297278531395726,
      0.432514087722571,
      0.467701945172129,
      0.422477675885315,
      0.369637637201414,
      0.435466883356112,
      0.333563979932451,
      0.39567038317763,
      0.377340467148113,
      0.490610596508513,
      0.336342010781014,
      0.377054979614579,
      0.431710360983338,
      0.443859706894309,
      0.458552333282479,
      0.333975581219525,
      0.527806624914689,
      0.457223794202883,
      0.356869595454677,
      0.365085985222923,
      0.46012311594131,
      0.515972027711,
      0.154994541370826,
      0.396696502702379,
      0.473346961020564,
      0.360443260897926,
      0.278503248235593,
      0.408818215195373,
      0.534949275609837,
      0.188869498016714,
      0.152385072693782,
      0.121619730909298,
      0.190599020286391,
      0.0938497796957449,
      0.123650271166028,
      0.118641978222448,
      0.158855848904107,
      0.169962190744572,
      0.137426687239155,
      0.193776863526584,
      0.164042179155905,
      0.224285202219059,
      0.131491987250798,
      0.210160286749721,
      0.240164983449246,
      0.212883155215199,
      0,
      0,
      0.113051153318206,
      0.0236165200675735,
      0.0441330420843836,
      0.0432040351556072,
      0.0520464282426768,
      0.126635465324073,
      0.160729772074388,
      0.109673746653251,
      0.0643052582173758,
      0.0290074258118945,
      0,
      0.00893351190682508,
      0.0795895799819,
      0.176456953954856,
      0.0328332133853491,
      0.153489281969857,
      0.0184344992383814,
      0.111351337181936,
      0.0591122524602458,
      0.0843492287544767,
      0.117094491505131,
      0.0293784847617742,
      0.150745238491511,
      0.0629990879657627,
      0.0524723544815712,
      0.113863185532123,
      0.130758445622202,
      0.282592017678014,
      0.312850195524575,
      0.325013925635974,
      0.288923889020553,
      0.394774044907112,
      0.217118886372765,
      0.329917619528191,
      0.622068348126696,
      0.418850976242004,
      0.47422278548832,
      0.409564480040879,
      0.297374113258994,
      0.500155808236371,
      0.427984697053049,
      0.389778722424691,
      0.448930563470702,
      0.435843363389769,
      0.45816847350833,
      0.233158014132297,
      0.413588215950053,
      0.50711791446865,
      0.329210708131254,
      0.272804460915099,
      0.381280407418319,
      0.523630908540488,
      0.245221844209101,
      0.299342061447129,
      0.471496355288336,
      0.356581268586664,
      0.497686142019828,
      0.367697476125052,
      0.503729685268832,
      0.334685956680822,
      0.337740341594539,
      0.309546427162223,
      0.477161123619549,
      0.368262742108731,
      0.407738481328883,
      0.372832199896024,
      0.449278089501667,
      0.416858932307057,
      0.207966782002888,
      0.345312160347306,
      0.463812002581499,
      0.278399247870756,
      0.332402124344449,
      0.427674623327532,
      0.43449762530053,
      0.246265132759066,
      0.282288518057946,
      0.4936592225062,
      0.156651200793127,
      0.348926154691098,
      0.376039854772023,
      0.451999966190119,
      0.196074753848932,
      0.350877003810042,
      0.443974575062735,
      0.220808717036317,
      0.333582936827353,
      0.46288349171179,
      0.488590462790725,
      0.432465585183718,
      0.437350111163205,
      0.476909937416958,
      0.321333407575126,
      0.457696574943509,
      0.46100353646475,
      0.268056225976723,
      0.343054301771586,
      0.491866812798074,
      0.439240409363588,
      0.360120227346054,
      0.500201110826218,
      0.414663966987259,
      0.192839848653335,
      0.324768539858473,
      0.514142434618506,
      0.29726181072376,
      0.207393143753594,
      0.447693182613459,
      0.478242989417852,
      0.174985243102018,
      0.225532370928385,
      0.497278835038792,
      0.44978366313606,
      0.210364174218507,
      0.281996237872187,
      0.478629535939134,
      0.52496174043933,
      0.175891439599367,
      0.402443490439264,
      0.512995961145962,
      0.184886373180195,
      0.214530918833377,
      0.368080414389972,
      0.381691088979947,
      0.157985442633041,
      0.466219012862022,
      0.460735619831037,
      0.301651187011421,
      0.394384633177985,
      0.353425660055734,
      0.408099660524635,
      0.141915440138926,
      0.377343144590599,
      0.239815262944703,
      0.461350594238839,
      0.366654185058696,
      0.595694552945421,
      0.341002373343794,
      0.354873999014879,
      0.386799808052025,
      0.17543716545408,
      0.271513557172959,
      0.457401204605506,
      0.458469608558342,
      0.414599219863209,
      0.309992934411674,
      0.475356044637643,
      0.323329131861302,
      0.395196297806722,
      0.464931913288447,
      0.494531210413864,
      0.325756247231675,
      0.352099192696163,
      0.49717315655999,
      0.411332446912562,
      0.431470818176118,
      0.284266837539218,
      0.540659313311505,
      0.442455223685085,
      0.395194235375608,
      0.4045220105444,
      0.471251143271037,
      0.479823864540929,
      0.0951621654959898,
      0.499043642717298,
      0.498675923684368,
      0.374156264684836,
      0.182823304132628,
      0.473330152269866,
      0.52917444383322,
      0.325244667375137,
      0.309354407251033,
      0.54666775089972,
      0.424206203016965,
      0.373057676550086,
      0.349702217232845,
      0.487573821115722,
      0.208021615308116,
      0.18586172037337,
      0.429298139793962,
      0.452103386183717,
      0.337134463762578,
      0.356539023917235,
      0.503761009704496,
      0.40005790138424,
      0.325046231050649,
      0.441650409984503,
      0.425620059550175,
      0.415809992878266,
      0.400082140476855,
      0.325491677348462,
      0.21741965725886,
      0.410571106238815,
      0.409781826654448,
      0.608960914643884,
      0.475326360253391,
      0.459591032760409,
      0.330915299194466,
      0.283394616077145,
      0.608435969397121,
      0.322624269226579,
      0.259856153113931,
      0.40104413593225,
      0.497654743222571,
      0.401548086333458,
      0.259931017961478,
      0.489435342372228,
      0.425148965347801,
      0.1976512512364,
      0.270877658646361,
      0.509167975056794,
      0.4583615895114,
      0.227663689906595,
      0.357362187722831,
      0.491780016614499,
      0.227892873399752,
      0.350488593611078,
      0.449679103811407,
      0.504187574558185,
      0.312673145291145,
      0.180563105688609,
      0.455119896781925,
      0.368086633404859,
      0.589616861607791,
      0.421154047877283,
      0.465887994648654,
      0.365623758688381,
      0.284487860106084,
      0.292462050180304,
      0.467145553467815,
      0.224319092617933,
      0.223365833800345,
      0.484357843632756,
      0.417482187086686,
      0.44724158184249,
      0.329612745559617,
      0.341922096348576,
      0.333427071449043,
      0.312577562954479,
      0.234724559025977,
      0.327486541487987,
      0.417012859752137,
      0.412052298299002,
      0.251610712739307,
      0.385490330128115,
      0.439360233253336,
      0.239144056392995,
      0.308310883103351,
      0.473688522143015,
      0.470014099871081,
      0.261951964185173,
      0.354388926426282,
      0.644996816930253,
      0.221467486391329,
      0.238224434943132,
      0.37065193268549,
      0.495878928475892,
      0.195348576566032,
      0.274289780970077,
      0.471679945209291,
      0.426367950497861,
      0.39951324357069,
      0.373679843018163,
      0.522934140404587,
      0.36220059586718,
      0.274824208033013,
      0.271728999980543,
      0.408137281374601,
      0.394994555911603,
      0.253103112716989,
      0.415692913592229,
      0.425259661214757,
      0.296449390951753,
      0.312729013745887,
      0.42283538978789,
      0.505941060759624,
      0.339998114196541,
      0.290168975992083,
      0.446937028652255,
      0.428043250523301,
      0.196308825502003,
      0.271091669169745,
      0.498053237886124,
      0.293517001135247,
      0.226601682637148,
      0.280614917967656,
      0.447125909203877,
      0.313720926672961,
      0.366018429240648,
      0.506038002478354,
      0.307973840013107,
      0.342050196402925,
      0.189506210311844,
      0.425056000350602,
      0.260073889093326,
      0.433246373384209,
      0.452286236292282,
      0.289149561857674,
      0.514791543243562,
      0.268657322570942,
      0.186825923321802,
      0.463377533607601,
      0.45219015868831,
      0.428800599257403,
      0.252644782496892,
      0.498643104925884,
      0.322495896172224,
      0.206027635345647,
      0.332347616357273,
      0.49231473020201,
      0.335466230452145,
      0.253325607833904,
      0.444687954678452,
      0.465216024715845,
      0.3585295874939,
      0.287117503876535,
      0.49042431944933,
      0.46241646527805,
      0.518075159142102,
      0.267978612563314,
      0.535174169608865,
      0.466861471775364,
      0.420112530314114,
      0.345714556086758,
      0.572211166723466,
      0.219379183579001,
      0.316375969371124,
      0.380022486047015,
      0.466706190072478,
      0.357182118811246,
      0.308646056124906,
      0.46598501883934,
      0.378201725877169,
      0.251113652939794,
      0.447402540843405,
      0.458472439481203,
      0.267381132400352,
      0.345733570215188,
      0.333589361994532,
      0.336084411599494,
      0.362112361571005,
      0.35588518894547,
      0.404471358657995,
      0.326183144052456,
      0.3948781157405,
      0.270137312146786,
      0.495026937494656,
      0.503174428334691,
      0.474877221159004,
      0.359019774849518,
      0.324347862591731,
      0.487784540560812,
      0.349104038158712,
      0.352097597220784,
      0.441163416051812,
      0.47307290370332,
      0.408870007611476,
      0.348282457783571,
      0.488006854361451,
      0.374701777775737,
      0.336286610363799,
      0.165152632602276,
      0.50005031111946,
      0.404725402018449,
      0.362257497558837,
      0.42275685679645,
      0.478835612126817,
      0.500752710588274,
      0.0738067256498885,
      0.0681898176313018,
      0.148586677073572,
      0.181461851043998,
      0.269037059522119,
      0.357090926125756,
      0.252281341838493,
      0.205767004956385,
      0.606632506760081,
      0.386347645163389,
      0.286118279114012,
      0.535698285014502,
      0.138011206282216,
      0.119992024714222,
      0.288040918519402,
      0.351090549781678,
      0.331288739543676,
      0.234684085049083,
      0.207297664614892,
      0.175272109355997,
      0.25073459121003,
      0.253354412900987,
      0.242729481979456,
      0.20199212469804,
      0.303824275492964,
      0.689918975200798,
      0.330246134543775,
      0.331739275849507,
      0.33640864728772,
      0.393380252087795,
      0.393535153868361,
      0.331518111252467,
      0.456381384932427,
      0.468794088078428,
      0.345513513570162,
      0.351743841450034,
      0.494155715431441,
      0.316451279669214,
      0.154138259968103,
      0.315198724068536,
      0.485114698697477,
      0.359917118445375,
      0.292623541239448,
      0.517800259065148,
      0.404990100353786,
      0.201021992061708,
      0.268959867563603,
      0.540194129803964,
      0.400207850803801,
      0.326241690213541,
      0.358009473901348,
      0.502080219552326,
      0.225401623054726,
      0.170613099731022,
      0.450805794587408,
      0.491795456135112,
      0.229374608556358,
      0.30066924709532,
      0.454653997967342,
      0.428053492137362,
      0.346166058833163,
      0.318363934791298,
      0.462641437067677,
      0.449603718667858,
      0.232717451818631,
      0.49192002056015,
      0.497841288689364,
      0.289040892034568,
      0.313328494388875,
      0.379515569193495,
      0.307046243865898,
      0.341350268708415,
      0.352463543770452,
      0.379622414158398,
      0.345344856728714,
      0.376700767533268,
      0.294251995928374,
      0.532168666807719,
      0.415156370378459,
      0.482999972815355,
      0.356211918983302,
      0.284864415717032,
      0.440170018521178,
      0.350310451894932,
      0.283311262340899,
      0.439307778476386,
      0.452274133386673,
      0.435697559377168,
      0.347306644242561,
      0.479091530149728,
      0.360558570256247,
      0.352751914319126,
      0.4016735090099,
      0.499441977718217,
      0.327130400110873,
      0.369073020377252,
      0.477981007716214,
      0.458121819913272,
      0.48248760417399,
      0.295329082594387,
      0.548178927668984,
      0.459164659777706,
      0.384357376469435,
      0.342756310418913,
      0.467540315380172,
      0.467006422311003,
      0.0879453338087993,
      0.433228515710933,
      0.497974239614497,
      0.35482880238245,
      0.274652391355102,
      0.423086902024564,
      0.539552871235205,
      0.245951724409716,
      0.236656015864176,
      0.216610250239971,
      0.223913005592968,
      0.205870142631072,
      0.183028406366908,
      0.200632410914842,
      0.246559651484774,
      0.198787406570107,
      0.151027414815296,
      0.228004758911695,
      0.223016229440897,
      0.301145028950845,
      0.197024823810694,
      0.114080864827898,
      0.0447218286988248,
      0.175043717911098,
      0,
      0,
      0.13362368616404,
      0.0747171280668354,
      0.0439280829637004,
      0.0496671784987625,
      0.0639982216867178,
      0.117557108700962,
      0.181819722282405,
      0.120218720387878,
      0.0763800156485861,
      0.0826829017152145,
      0.0416206805375202,
      0.0296024952115139,
      0.140922142619649,
      0.178515115038721,
      0.0764598897144616,
      0.160956831380639,
      0.0481078083258722,
      0.0357955997409453,
      0.12217983440696,
      0.103182100988412,
      0.125993086949745,
      0.0658474250385134,
      0.146069290307695,
      0.0620722598130956,
      0.0160999622690264,
      0.0917085466756455,
      0.134956382413685,
      0.263703413202279,
      0.314578993381667,
      0.317521091638413,
      0.291511052361587,
      0.387408834194657,
      0.211121544258424,
      0.328921552672998,
      0.622832060274973,
      0.390848048343229,
      0.454935868673076,
      0.415416002442171,
      0.295583781468431,
      0.503905179312081,
      0.450609408297587,
      0.375466275693152,
      0.45866217921296,
      0.425624482871965,
      0.464163979158025,
      0.246605367939992,
      0.417195427381244,
      0.522237167585887,
      0.320689771491208,
      0.274978523609008,
      0.356625511408148,
      0.489021497273361,
      0.258971784838424,
      0.304614000031575,
      0.460581869464892,
      0.369967875696678,
      0.492450697421757,
      0.378756907911703,
      0.478243760297524,
      0.369070693955836,
      0.298838594270315,
      0.337744051213562,
      0.483565402714437,
      0.359902599964841,
      0.367076991594277,
      0.310942467331683,
      0.437449903262083,
      0.37962238044402,
      0.240928394183536,
      0.381348940952278,
      0.455283606451248,
      0.274646203542233,
      0.333586518889237,
      0.410431658255438,
      0.410592210088906,
      0.26154239483491,
      0.24909215726859,
      0.47550391955605,
      0.157867484467719,
      0.360184992402119,
      0.3532583823152,
      0.437733278350652,
      0.225835537648906,
      0.37534476935779,
      0.435440174426608,
      0.218947236699937,
      0.3124063840284,
      0.485955285391835,
      0.495403492489888,
      0.42948901979357,
      0.467449848063479,
      0.459326735641856,
      0.322482553102437,
      0.469891386642285,
      0.443807917499913,
      0.301484621319498,
      0.362983273064827,
      0.483181890008417,
      0.437260677745179,
      0.374064279643278,
      0.516144048947159,
      0.385496084079011,
      0.199660548363668,
      0.291398009533282,
      0.493298577025455,
      0.294395121756156,
      0.233349420714565,
      0.44734276221689,
      0.461702390846737,
      0.182705173201431,
      0.20561482212833,
      0.465396048654524,
      0.393001812403053,
      0.195912251630574,
      0.292345803311685,
      0.481828806048087,
      0.54688589171173,
      0.189083263685267,
      0.412313317106363,
      0.513840506262428,
      0.225324998761766,
      0.24456900733682,
      0.393034764839505,
      0.392766160898553,
      0.186175755702272,
      0.460587922219346,
      0.447015929835387,
      0.304755079869791,
      0.396241086415065,
      0.351412496718595,
      0.40995424938318,
      0.143437284961746,
      0.425152957654335,
      0.239542788140146,
      0.463295056715178,
      0.38069119724909,
      0.581534661128109,
      0.330107770821919,
      0.375897112925955,
      0.37930197881498,
      0.179306388219938,
      0.294581938942236,
      0.464152394382389,
      0.434233586417302,
      0.424970618403073,
      0.344901425373705,
      0.487038017875965,
      0.293831180873355,
      0.364387846653872,
      0.456872392514652,
      0.493332599305521,
      0.316268487324418,
      0.331289131916813,
      0.494807243458023,
      0.372764916006459,
      0.405044478794507,
      0.32206490174885,
      0.497190891005889,
      0.455150133322501,
      0.358821453308673,
      0.396151718253547,
      0.473786931626268,
      0.472580806782215,
      0.158705588103673,
      0.465949115353844,
      0.426017539978315,
      0.335723909507712,
      0.227227250433266,
      0.471659173036379,
      0.516216320267326,
      0.297543613049681,
      0.329050280830465,
      0.542138106008211,
      0.417083530616097,
      0.352080283389744,
      0.368440104725771,
      0.473870124046969,
      0.191282158514662,
      0.177564982826326,
      0.409552054357071,
      0.443175313958698,
      0.3205541668365,
      0.361799853328473,
      0.478041300816606,
      0.345747684885302,
      0.293277588211755,
      0.434133225890199,
      0.436770719588385,
      0.424881660585013,
      0.407747080948476,
      0.342497802086653,
      0.196429750323064,
      0.409345863282008,
      0.386240081753761,
      0.625316687666185,
      0.467670072176951,
      0.468635257747923,
      0.354053620931598,
      0.267834621460863,
      0.574641372781335,
      0.34351860685989,
      0.230194603449468,
      0.39786097813458,
      0.480682572432809,
      0.428492719686486,
      0.199786986352285,
      0.500252496835168,
      0.418529255088415,
      0.226270241377929,
      0.242273245501904,
      0.482182072762575,
      0.435153952911863,
      0.21734661372031,
      0.370666063631108,
      0.477774441741432,
      0.260895094577895,
      0.371817619802391,
      0.424042324165332,
      0.534542063584708,
      0.316975582966556,
      0.233390081612322,
      0.441104451686924,
      0.372561175068477,
      0.559273658107445,
      0.456976032381422,
      0.481831186400883,
      0.334082346949259,
      0.317843386215249,
      0.344664852718404,
      0.4689209938186,
      0.22120241313358,
      0.226107898522577,
      0.440959319820462,
      0.415954185018939,
      0.430790057775439,
      0.304374991217124,
      0.401209649981445,
      0.305075865987158,
      0.32953816799416,
      0.214042358043732,
      0.304613350473137,
      0.443219459447288,
      0.416150837167859,
      0.248038306513171,
      0.423021438044626,
      0.430000871865552,
      0.250628563629957,
      0.406207811725324,
      0.499538148828755,
      0.470738610396363,
      0.330081226475582,
      0.397061342013682,
      0.664482492788953,
      0.221812857551784,
      0.259467944799642,
      0.38243703695208,
      0.491430974868379,
      0.201509363563075,
      0.297886966903496,
      0.470548753077078,
      0.433056803525167,
      0.361909591005828,
      0.370452575709292,
      0.487209840193995,
      0.325621975709808,
      0.282334286664209,
      0.27259837543435,
      0.441357758868302,
      0.422513824104651,
      0.257934239865757,
      0.433432530945704,
      0.406470091146273,
      0.284403619536569,
      0.293142984562834,
      0.402458704613073,
      0.465251738182058,
      0.385525370824255,
      0.279627009378611,
      0.446083474044993,
      0.431773024445694,
      0.201624066699568,
      0.260297821158796,
      0.48825509941949,
      0.256189621525293,
      0.275345843514029,
      0.335121517912097,
      0.455015771517631,
      0.306189532907954,
      0.349830205324314,
      0.52872739040506,
      0.284110342384422,
      0.327853607498472,
      0.185014168080873,
      0.421082439306781,
      0.282016052045492,
      0.41434568281272,
      0.444627346022724,
      0.286883209597398,
      0.499415793912671,
      0.326686555753391,
      0.15938698247502,
      0.434283882496012,
      0.475525151883083,
      0.42941286058595,
      0.238992827301037,
      0.520759431136451,
      0.358421291740769,
      0.224943974130126,
      0.328149686475404,
      0.489182251709845,
      0.293095484767411,
      0.280377399712363,
      0.428845770233924,
      0.449511201060704,
      0.324393564669677,
      0.275109446479149,
      0.480319446140971,
      0.42512863363439,
      0.436417164521018,
      0.281144902157888,
      0.474094312385099,
      0.476289286340894,
      0.411505469781107,
      0.332725564645156,
      0.486102923842988,
      0.217416370252988,
      0.30204343126121,
      0.38966483599712,
      0.437641162392648,
      0.361459224298073,
      0.35033072109562,
      0.450142593605158,
      0.392294168036217,
      0.279241578530581,
      0.32573977891224,
      0.448510844246466,
      0.277747125008124,
      0.337581478866818,
      0.308774196143687,
      0.336186169912515,
      0.353332395292256,
      0.351171444097672,
      0.389766677893486,
      0.335916957839554,
      0.384835445687494,
      0.282781421586626,
      0.503960634239013,
      0.50600071538113,
      0.454211054481154,
      0.34046267564977,
      0.316871219750715,
      0.486480549149938,
      0.314014348668082,
      0.343859681191819,
      0.438884563687293,
      0.468975871264707,
      0.414427028176897,
      0.370552379513987,
      0.491574550246316,
      0.374719628479092,
      0.311310426387494,
      0.18150656536658,
      0.50184312044061,
      0.400758223277723,
      0.335397977584214,
      0.393771262028097,
      0.474316055378037,
      0.480960277890451,
      0.0878212550385001,
      0.0835303084554632,
      0.164397220019291,
      0.179582027268936,
      0.328204126102,
      0.453520914297234,
      0.232501914132256,
      0.210382971667241,
      0.598199341271907,
      0.365277385516255,
      0.304490186819326,
      0.547665447236733,
      0.143347508824927,
      0.103681925793367,
      0.274552903004299,
      0.360127558540293,
      0.373412911169051,
      0.262801064960731,
      0.236441578946832,
      0.222597617636354,
      0.252136217382534,
      0.235816308199976,
      0.273832679076539,
      0.253010989969016,
      0.25832758023751,
      0.65311186510876,
      0.36432099186723,
      0.310578854541838,
      0.373958075370769,
      0.408047235672192,
      0.353767715612761,
      0.327658784827579,
      0.450018559373946,
      0.479276047442744,
      0.333532568628307,
      0.306719400374601,
      0.506978342004471,
      0.315216040579693,
      0.142834788167728,
      0.286133349365469,
      0.506378204919965,
      0.374641968522906,
      0.341784919994908,
      0.49907060164606,
      0.410737851388043,
      0.218600213897677,
      0.308535482367322,
      0.493620257099143,
      0.363141709644721,
      0.315643094454363,
      0.345900873867467,
      0.510234699845892,
      0.258499282828911,
      0.184933654421833,
      0.425526762148335,
      0.525779793391854,
      0.209101229846945,
      0.28553173630573,
      0.454504637892193,
      0.404787198065319,
      0.328176651201228,
      0.349255820309071,
      0.468029565025877,
      0.447955013029836,
      0.253170013287054,
      0.307782797401933,
      0.481314883610522,
      0.29624803276615,
      0.3194785729233,
      0.387282231404404,
      0.322690711955702,
      0.296893759011959,
      0.343692303392788,
      0.391503495289795,
      0.321596273222262,
      0.377590283602131,
      0.301894873621204,
      0.509054259099081,
      0.433417602364295,
      0.43692291490585,
      0.355518639309652,
      0.271747523679152,
      0.441327187834974,
      0.328488063904854,
      0.284187903989583,
      0.435158496044086,
      0.463383954981982,
      0.421610736942939,
      0.358443691846891,
      0.490213312050252,
      0.352375949625377,
      0.331492621625535,
      0.400966875841393,
      0.491922684059295,
      0.302326653515467,
      0.347228126826145,
      0.477696038583382,
      0.440923959613576,
      0.485494456875484,
      0.330218681909772,
      0.521438400484328,
      0.478044892308858,
      0.377856596356203,
      0.359902233545622,
      0.458207673004777,
      0.489309590377765,
      0.146174450450096,
      0.379951249288517,
      0.45278760563256,
      0.3394083408196,
      0.296721106752601,
      0.410975744445822,
      0.53344768800958,
      0.231394707846744,
      0.234615763330546,
      0.227220370501615,
      0.265529488949642,
      0.198134483388731,
      0.165340370697104,
      0.201366734087385,
      0.232045561183979,
      0.189521404485624,
      0.166173498487407,
      0.223494890121662,
      0.218684743685941,
      0.384894334344239,
      0.115896296757615,
      0.143239271636384,
      0.134833006952837,
      0.193340152095151,
      0,
      0,
      0.142352838172156,
      0.052980438971162,
      0.057616226863263,
      0.0473049227986883,
      0.0838893424059257,
      0.145662366698467,
      0.133104963432872,
      0.140387390402783,
      0.0898740510629149,
      0.0494432355517486,
      0.0487352614798732,
      0.0681057186875131,
      0.13442891056385,
      0.184704053951929,
      0.0854827442221414,
      0.169409208442702,
      0.0550810147722338,
      0.0763300986030312,
      0.0764129263570741,
      0.109193939392987,
      0.174077419971872,
      0.0501956443326248,
      0.195343094780331,
      0.106210188010414,
      0.0555141335600747,
      0.097278251301901,
      0.159896187034248,
      0.265364395958529,
      0.311695733504228,
      0.324349238543139,
      0.286412101823432,
      0.37159278172437,
      0.202488510352951,
      0.335626543874795,
      0.579610950497094,
      0.369302606525353,
      0.422072798910899,
      0.392766501790156,
      0.292025024744849,
      0.466259568673666,
      0.424554503365932,
      0.367015391657041,
      0.425843798546188,
      0.424375511161599,
      0.473832257049415,
      0.256461506262289,
      0.441267942083436,
      0.476239996352967,
      0.287201402366244,
      0.338680468605214,
      0.375273299123862,
      0.508253445844502,
      0.264366055024449,
      0.314138380827316,
      0.443628933731093,
      0.355617558508576,
      0.494409268966739,
      0.310246229603192,
      0.477389951836444,
      0.388640569941891,
      0.290345280887518,
      0.31110080665959,
      0.474940951387526,
      0.377361356481688,
      0.373008031930726,
      0.299889698671566,
      0.449448442146182,
      0.483742497034633,
      0.266460404576496,
      0.356591457931761,
      0.450737441866592,
      0.212933384697346,
      0.298509947292828,
      0.424312106226702,
      0.393539327375847,
      0.263735552742359,
      0.279416780359695,
      0.453717466164088,
      0.18078442823159,
      0.338469426610369,
      0.338580331659771,
      0.436216719232493,
      0.234124080528519,
      0.330228452170943,
      0.460168138023911,
      0.229201192947909,
      0.322839301993101,
      0.450044752903582,
      0.488258783301302,
      0.418282615718637,
      0.448903473957165,
      0.414567901725724,
      0.338215898796163,
      0.451466433644479,
      0.440565227350061,
      0.339421293862944,
      0.33809396215433,
      0.464501925823018,
      0.419015707721233,
      0.400281239643785,
      0.484434695176529,
      0.342506445611239,
      0.18752556134838,
      0.30369744252569,
      0.477797529649338,
      0.346909114838499,
      0.238917202655063,
      0.411557025224962,
      0.446535522214591,
      0.20954168324528,
      0.155631153378873,
      0.479602975154471,
      0.412116058739045,
      0.175242591028018,
      0.32340150946752,
      0.458328196440575,
      0.531486918262362,
      0.162619462800992,
      0.405881707916224,
      0.513666223028378,
      0.208485585191218,
      0.271657732832856,
      0.362220553959673,
      0.385770911925273,
      0.225445191158058,
      0.4456933655789,
      0.467501569285297,
      0.281416334425245,
      0.387729569822202,
      0.320157293879886,
      0.38789898198411,
      0.172337005863085,
      0.442490228729823,
      0.260995783768363,
      0.463831478548164,
      0.355016704104238,
      0.59716104765942,
      0.310204846712444,
      0.406147734184908,
      0.369425491977953,
      0.22088870970815,
      0.324618529360115,
      0.428199489452976,
      0.415488877480824,
      0.379504939335158,
      0.333515988389761,
      0.462326641837864,
      0.306490749300735,
      0.377954528445617,
      0.444238363075142,
      0.492568572840944,
      0.273842841597999,
      0.34784047323314,
      0.463675338037783,
      0.34032100676302,
      0.427637487169349,
      0.299763466453768,
      0.513281620424042,
      0.466524671772051,
      0.308892814545383,
      0.379568092385454,
      0.451097121123585,
      0.528034171518878,
      0.177314033359555,
      0.472970132320843,
      0.443714299150474,
      0.3543683181226,
      0.226547555925161,
      0.443334150507914,
      0.489239094160301,
      0.300665908180965,
      0.347274052805913,
      0.486281951094614,
      0.404552466707801,
      0.352949991574778,
      0.350571539776933,
      0.454598139952835,
      0.169032982420164,
      0.182519503528972,
      0.398616715497865,
      0.467481451698963,
      0.356943870446061,
      0.363508613218996,
      0.463796889050477,
      0.330764813217257,
      0.309554393794368,
      0.448815479389599,
      0.398764261748531,
      0.433605637875777,
      0.393686805952088,
      0.331133703735412,
      0.232120762746316,
      0.394591005416137,
      0.366625815300579,
      0.631922776818373,
      0.468544138233174,
      0.452996153318788,
      0.381030699721932,
      0.234255196631277,
      0.573281394766381,
      0.332935872706009,
      0.170534710492927,
      0.387658773259344,
      0.476951186368488,
      0.425338864958631,
      0.201271887682828,
      0.45565588030759,
      0.407527402752394,
      0.254486984123267,
      0.252163203597701,
      0.49987321643223,
      0.416415218189003,
      0.240492424228942,
      0.362531384408175,
      0.464220674004358,
      0.214570363719408,
      0.381587945346846,
      0.438488649222151,
      0.516341942044445,
      0.348477153556944,
      0.266439677497509,
      0.406241655077406,
      0.3619852972096,
      0.574563893490354,
      0.428628155634034,
      0.492220673556961,
      0.309600588617778,
      0.36043672442438,
      0.32659807350467,
      0.445513198556322,
      0.11801392412683,
      0.259720190533246,
      0.453303940785442,
      0.442284850758588,
      0.354050120113643,
      0.296938784023545,
      0.353208779065857,
      0.257957687213218,
      0.307993127695849,
      0.240752356606632,
      0.312184634767379,
      0.4467050933068,
      0.502106467388498,
      0.271689962027123,
      0.346289094384362,
      0.403905406265456,
      0.263767290889454,
      0.444293142554811,
      0.524386337638075,
      0.455596225572452,
      0.339731400915883,
      0.390660444711829,
      0.623015362013841,
      0.21153131093589,
      0.23593460200552,
      0.378666861503727,
      0.482667764746871,
      0.226729142366333,
      0.339992426540594,
      0.426274800225943,
      0.420455826553096,
      0.352309208145009,
      0.365810681837056,
      0.454441241983062,
      0.349943035396744,
      0.282189579940014,
      0.275018185986562,
      0.400823345917918,
      0.395020410893232,
      0.241536528348184,
      0.471468677939746,
      0.415443955718518,
      0.318673063096158,
      0.303348844617392,
      0.389090415990724,
      0.456287903120296,
      0.399048020138994,
      0.247203508246854,
      0.447274584584262,
      0.42307985568211,
      0.216562435163727,
      0.248620457540918,
      0.47315009577935,
      0.286791327088204,
      0.25748256815272,
      0.35129350840151,
      0.44882152401282,
      0.317317679716135,
      0.339915821455739,
      0.504381197962106,
      0.272093419356176,
      0.314997627531373,
      0.203285936183161,
      0.43858365958271,
      0.277760913527241,
      0.426058252440286,
      0.448408609785961,
      0.296307466222015,
      0.497238812111522,
      0.326021215928515,
      0.263342110914373,
      0.44304369288422,
      0.465376425619,
      0.430786791368528,
      0.272847201784094,
      0.480493700517284,
      0.352578672886255,
      0.245481781737251,
      0.317012479990014,
      0.503243862080972,
      0.331980686919872,
      0.299005947052811,
      0.381208177389966,
      0.438621753502985,
      0.329758724348599,
      0.26363235105344,
      0.458691651566995,
      0.450408916551124,
      0.420502152791967,
      0.280288621347923,
      0.479017164772279,
      0.424211498970887,
      0.41587227768,
      0.333210813151726,
      0.530210635543469,
      0.253641469693114,
      0.308083314516016,
      0.346307037563224,
      0.418421012949296,
      0.3630538519221,
      0.322349832943781,
      0.490535776288368,
      0.40605632035168,
      0.256364863881961,
      0.342273484216666,
      0.425011533111088,
      0.258678393926256,
      0.343915445570387,
      0.307140777267299,
      0.340042895377314,
      0.335038544169236,
      0.351714940423086,
      0.340794289351444,
      0.320045560084964,
      0.368763599968904,
      0.293179156437792,
      0.49880060334426,
      0.473861240603444,
      0.430349287748497,
      0.283744857703473,
      0.318581974359515,
      0.467234687288466,
      0.315982126890217,
      0.352016125144488,
      0.443865097035164,
      0.491908813127087,
      0.409960992386284,
      0.337330298824399,
      0.432922773242249,
      0.354839125878461,
      0.317661790621298,
      0.167285618980393,
      0.510408212861074,
      0.381720111858043,
      0.3417751809302,
      0.34336958227954,
      0.465694123499552,
      0.458379437858578,
      0.10387833653366,
      0.0759342000762032,
      0.116291897286297,
      0.146938953129726,
      0.387192551823434,
      0.438278908684104,
      0.261431681758161,
      0.191237677061003,
      0.597742708418967,
      0.41575816152061,
      0.327203179486728,
      0.545491317356626,
      0.171051112643044,
      0.119240470510213,
      0.284746747956576,
      0.347892465209862,
      0.332072595598034,
      0.290741310288691,
      0.223573318651175,
      0.202477073733215,
      0.168844285261699,
      0.217394010845137,
      0.258665850329558,
      0.315783950167555,
      0.197686289241563,
      0.641809467362508,
      0.321843168953068,
      0.282538507994405,
      0.36965692348299,
      0.401183392950468,
      0.36049857176414,
      0.367874183039844,
      0.432920826454439,
      0.453830605124448,
      0.373700290078833,
      0.313244945592184,
      0.473155782918816,
      0.310752895508293,
      0.182003849393128,
      0.276856637459111,
      0.486365598341104,
      0.372839758904134,
      0.330902925484276,
      0.455781755766329,
      0.427624126864525,
      0.274165033929347,
      0.294953242165852,
      0.494004681909106,
      0.385928632033526,
      0.321958162425931,
      0.348290760705347,
      0.486646931838281,
      0.301615998189182,
      0.187862778041748,
      0.423012715352369,
      0.525859234552411,
      0.216935274642258,
      0.297873054982791,
      0.419409725756669,
      0.382318725342284,
      0.331923458487751,
      0.351023110082033,
      0.501968161284988,
      0.471745442952165,
      0.245108042859346,
      0.354729059618673,
      0.45899655590339,
      0.308815053470407,
      0.328956261473233,
      0.385845222985399,
      0.304848254673394,
      0.285529483828114,
      0.304282214581971,
      0.365434423835918,
      0.295639264532842,
      0.373820265897974,
      0.308570002898573,
      0.507628244626977,
      0.407479473278178,
      0.444103865505769,
      0.294227475016131,
      0.280165904861113,
      0.41289050597959,
      0.284461014712512,
      0.299195897406957,
      0.418491826233916,
      0.458557504594838,
      0.389635763731188,
      0.343765200699358,
      0.461121900417429,
      0.346383529901628,
      0.337209661367141,
      0.389455124388428,
      0.491078389177623,
      0.274243769232309,
      0.348350392064855,
      0.419926082003793,
      0.429604944950749,
      0.479466891151604,
      0.289640507658833,
      0.51308802390192,
      0.472646968301116,
      0.358013266329276,
      0.355921160620739,
      0.43210940362278,
      0.52984322482292,
      0.187007301441008,
      0.356201258132156,
      0.469898943882096,
      0.325138817930233,
      0.334144261653453,
      0.395587501497793,
      0.502662144243448,
      0.205504876105048,
      0.24236640250135,
      0.242253898063435,
      0.293627059882675,
      0.188509216016051,
      0.157856519193355,
      0.208675560011913,
      0.210631753488764,
      0.196353441478224,
      0.186883876064441,
      0.225825150048012,
      0.213265397864412,
      0.372998201797428,
      0.226254909800882,
      0.17482100636454,
      0.177163979042969,
      0.223717343470019,
      0,
      0,
      0.145979447224063,
      0.0487436297612932,
      0.085428562922136,
      0.04479387026814,
      0.140279315167422,
      0.16411667955876,
      0.123494360015431,
      0.13977276800736,
      0.102346682295756,
      0.0519432447233751,
      0.0992970563583866,
      0.114009551368619,
      0.154939375058851,
      0.200442339449614,
      0.0688695642114132,
      0.176455718887782,
      0.0877727102638123,
      0.0797174095164095,
      0.146058896926155,
      0.144326345748695,
      0.194291992744549,
      0.0679744212410401,
      0.183329607815455,
      0.109601598697358,
      0.0982463122174992,
      0.120537528415038,
      0.151152924277662,
      0.254311088214461,
      0.291072408891052,
      0.368681124904965,
      0.283218058710759,
      0.386964460892363,
      0.233826957278029,
      0.31955277362693,
      0.538791027454018,
      0.34805817295254,
      0.421752375003499,
      0.380567400145603,
      0.292500855270811,
      0.437001083589167,
      0.414628976871011,
      0.392418627192846,
      0.397670323873671,
      0.42138095295045,
      0.482034927178242,
      0.21426544506043,
      0.409434275028895,
      0.508247817933322,
      0.315415738867984,
      0.388128816956038,
      0.340568659977327,
      0.502974754653639,
      0.240680925115238,
      0.295140420755185,
      0.495440999071411,
      0.361849524887004,
      0.491773931686377,
      0.247543193986107,
      0.443798877277694,
      0.370376080031273,
      0.294012505207947,
      0.324967974902444,
      0.481583388497572,
      0.370305105316005,
      0.260739193080429,
      0.277573733731147,
      0.394417128465571,
      0.512254271971535,
      0.270336891755315,
      0.355915915499155,
      0.465891416083067,
      0.247146819469284,
      0.266786410980531,
      0.382904431179021,
      0.375730353291915,
      0.279959249514735,
      0.246963721113168,
      0.466719310969054,
      0.131778504198065,
      0.270209605400664,
      0.33581669995649,
      0.411220964578852,
      0.249865371470792,
      0.315510345540886,
      0.487689291925793,
      0.232865450476624,
      0.3349044753739,
      0.479995098232062,
      0.526779880442493,
      0.38386897728804,
      0.440865214716123,
      0.436116465505038,
      0.337216203645555,
      0.470650441112911,
      0.440832004108419,
      0.331869346614829,
      0.31237503020202,
      0.465699926171289,
      0.381457904672221,
      0.42389725730952,
      0.507009132130314,
      0.358627610044468,
      0.170461184435791,
      0.294335147309197,
      0.472059823799937,
      0.336730445362937,
      0.211792171491927,
      0.433123154128497,
      0.472554003496053,
      0.198302390145246,
      0.147852019938979,
      0.455194404454403,
      0.424333411399607,
      0.182080550198035,
      0.332524716216244,
      0.458579526476753,
      0.536570075671518,
      0.192292188792744,
      0.382466927121362,
      0.474372468473067,
      0.239933908140159,
      0.248087773971257,
      0.362437799276774,
      0.376958566857063,
      0.211368343415919,
      0.425704228487854,
      0.377050251756992,
      0.263689568674095,
      0.398349296074292,
      0.330498213247168,
      0.402862646416404,
      0.169445625662916,
      0.452632466948961,
      0.250351605611428,
      0.422696969618525,
      0.370425843396137,
      0.615998796930808,
      0.289651965298501,
      0.374258027430681,
      0.350351407204701,
      0.222760920544912,
      0.302342617890709,
      0.408345005097446,
      0.405864702760873,
      0.381727897301486,
      0.336466534070254,
      0.465769124078151,
      0.318333465110198,
      0.382593368135007,
      0.426131376480239,
      0.46263623759098,
      0.316051323961223,
      0.354618850458448,
      0.486525256246908,
      0.345578609896913,
      0.43361872554908,
      0.271656335614357,
      0.500245603093972,
      0.44312964591819,
      0.334149584521483,
      0.397128465452448,
      0.457159447014922,
      0.500152286206256,
      0.147015185245458,
      0.425021461228866,
      0.435594438770792,
      0.343300920529234,
      0.188800898545926,
      0.445382203763568,
      0.498889774313967,
      0.26929062238813,
      0.352011121679232,
      0.4831505001154,
      0.397168323677297,
      0.338677381943146,
      0.346164891896983,
      0.454939973184032,
      0.0946626450740341,
      0.154382770392464,
      0.392396649879934,
      0.426995328511622,
      0.31376848194882,
      0.348499252006889,
      0.461055407433532,
      0.34807631781573,
      0.332488071035905,
      0.414072886604196,
      0.380194746660774,
      0.408438986391263,
      0.388629437396864,
      0.30477147423791,
      0.185496447709129,
      0.364710985898187,
      0.372447792872982,
      0.615505451606947,
      0.451545852677073,
      0.433738111026784,
      0.346793226561173,
      0.181189733838102,
      0.627159004159693,
      0.343846317908879,
      0.1567020696645,
      0.363359553220712,
      0.476794320469243,
      0.437870803277787,
      0.229681266703916,
      0.47681148220005,
      0.405614376632853,
      0.185761615042006,
      0.251561797893919,
      0.441546443257662,
      0.426581173757704,
      0.20590552002768,
      0.317173896974491,
      0.458765736021934,
      0.217681329487286,
      0.365485457130276,
      0.418297968212304,
      0.48528009160158,
      0.405879433560423,
      0.269659515630907,
      0.401713403726386,
      0.368994202128373,
      0.581681290123749,
      0.424225862536369,
      0.43347097279585,
      0.313544807939155,
      0.416335741577387,
      0.31475346934586,
      0.442223263892482,
      0.0842396108356561,
      0.214535305815149,
      0.455429905539374,
      0.490319689525378,
      0.340851069524836,
      0.296679971293765,
      0.355298826693808,
      0.282705214430936,
      0.214247961391456,
      0.214925461374306,
      0.280866035902154,
      0.427342613168387,
      0.470712108945231,
      0.283272186793116,
      0.37930074408737,
      0.395575720491246,
      0.256749187347839,
      0.447144053452236,
      0.526704592572575,
      0.454911514726505,
      0.287070629574649,
      0.345482505417293,
      0.610833194088373,
      0.196592735705085,
      0.260740239012515,
      0.35098685324342,
      0.466608652181914,
      0.236859936926986,
      0.375624723160747,
      0.469310174582898,
      0.426659088928244,
      0.376119860268283,
      0.295854924356203,
      0.442226137134196,
      0.334812618304872,
      0.266163899931503,
      0.22521507011201,
      0.409314154918323,
      0.383798435387413,
      0.285281632994768,
      0.399747423739807,
      0.381279460297785,
      0.366353895237067,
      0.343973815146437,
      0.393034630897653,
      0.472123302566036,
      0.427045567950077,
      0.259559889285273,
      0.441457799381483,
      0.434399840173795,
      0.280855057293842,
      0.314293471937026,
      0.473632303112479,
      0.294143043885802,
      0.211264593877977,
      0.337223964914172,
      0.433080272194142,
      0.362460521128574,
      0.338533338883446,
      0.53166935844389,
      0.216069142196122,
      0.281246258609475,
      0.171724427591673,
      0.422263848869458,
      0.263340550744087,
      0.428004123331788,
      0.463962964505018,
      0.300201829003138,
      0.464023044716158,
      0.369898419197725,
      0.330350814738927,
      0.446855744712113,
      0.450896895854766,
      0.427264496214157,
      0.270890695691824,
      0.507368119323631,
      0.347564745199249,
      0.251984446225653,
      0.281002117296606,
      0.49069111780512,
      0.324643339622814,
      0.26030504042572,
      0.414130600512512,
      0.446607510058193,
      0.344656969674483,
      0.273608699022222,
      0.450938863780703,
      0.441904057709819,
      0.43668576277799,
      0.232345048892964,
      0.470275838390841,
      0.443291624254606,
      0.433231050223237,
      0.316765691257009,
      0.513054451155352,
      0.22003524487835,
      0.310520991840062,
      0.377573849171029,
      0.426308620531966,
      0.346370458363433,
      0.305027593322216,
      0.435707358563109,
      0.386821148860081,
      0.238833880541334,
      0.316809885674198,
      0.436543059297906,
      0.255093799832206,
      0.318661405230426,
      0.290064722298715,
      0.3199637733665,
      0.300185350881064,
      0.342653327193722,
      0.369295925790807,
      0.302196821892074,
      0.345775442833439,
      0.26196986263603,
      0.45184825490759,
      0.467318113109187,
      0.415534706574383,
      0.302116750530412,
      0.326692116338843,
      0.466103251472263,
      0.309822782234309,
      0.356663235636628,
      0.418994672203647,
      0.475903881412717,
      0.399714406702673,
      0.346802866343341,
      0.475275713540458,
      0.364287587091576,
      0.308879598435228,
      0.190699732390089,
      0.470765446416555,
      0.375558999340524,
      0.340994851985881,
      0.372796601274122,
      0.476160012040516,
      0.47118131423117,
      0.114886833980313,
      0.0985519366919848,
      0.125342296657086,
      0.163260355715025,
      0.35089777374989,
      0.438920135257791,
      0.284707889205408,
      0.135867289723536,
      0.591840990506315,
      0.448467019260411,
      0.316827023493142,
      0.5539927260349,
      0.171039879580225,
      0.130346941059468,
      0.3570147481181,
      0.35790922036773,
      0.309838739062947,
      0.290908367262292,
      0.227369019075671,
      0.20639764017855,
      0.135629708201187,
      0.180221516214812,
      0.24565045284284,
      0.33330308143187,
      0.216903320541503,
      0.669359319563751,
      0.327314914947206,
      0.269271554940699,
      0.364479206288989,
      0.381787744027135,
      0.340745093735799,
      0.351920923986306,
      0.424508693874444,
      0.421353334139744,
      0.389049622293807,
      0.346184394809281,
      0.490403984679979,
      0.342632824848452,
      0.210861254750514,
      0.284393109436637,
      0.459099454310966,
      0.370685187767121,
      0.342065035627581,
      0.490629883668498,
      0.438139221934086,
      0.286681896026616,
      0.307582166855729,
      0.465068192598915,
      0.376508979224174,
      0.314750961055538,
      0.334756581709762,
      0.492760659341366,
      0.34171986472775,
      0.196058553938261,
      0.379474246814608,
      0.440772719422003,
      0.158807658901068,
      0.273107975735165,
      0.416304016985096,
      0.402020332820511,
      0.305952829195596,
      0.322576103235869,
      0.446880671473567,
      0.460980663336152,
      0.215427516262064,
      0.334698123668013,
      0.484854627656134,
      0.265190296018398,
      0.313343720210124,
      0.336683069206409,
      0.286473354850912,
      0.274852021197194,
      0.316785930521387,
      0.357034336595673,
      0.29861782709606,
      0.346231582995288,
      0.293517643674257,
      0.509345370908878,
      0.412569777037915,
      0.413280270933899,
      0.29680726810671,
      0.257448814606954,
      0.410456975282242,
      0.281444535960412,
      0.314709434045763,
      0.403162068230293,
      0.441929162632231,
      0.397892302345665,
      0.346841483679905,
      0.502842880775186,
      0.343666954641364,
      0.309093926579274,
      0.378465740107522,
      0.467950962482799,
      0.292885445961346,
      0.353715735870526,
      0.455765530520106,
      0.429715881369512,
      0.49549451254488,
      0.276275654020952,
      0.497528181649523,
      0.444166159197707,
      0.360445928079257,
      0.356058983529378,
      0.444552143978702,
      0.51217490122614,
      0.145818114364513,
      0.35361455565812,
      0.470153154539896,
      0.339415110873348,
      0.30453908912258,
      0.378342754150106,
      0.507646705811474,
      0.148557003230583,
      0.188561523865207,
      0.170689331468458,
      0.185984835799465,
      0.0828493321051662,
      0.0992781960612377,
      0.118337135730136,
      0.0883097728914543,
      0.157715635711241,
      0.0947153378990694,
      0.185781403644264,
      0.152505927217097,
      0.28892491232983,
      0.182693539161772,
      0.130494346672292,
      0.11617351774016,
      0.196885764309028,
      0,
      0,
      0.155477260008653,
      0.0394883865925827,
      0.0729026203649935,
      0.0504530947669252,
      0.169253461067915,
      0.191210853787349,
      0.120161944957961,
      0.147652131699882,
      0.112847521182521,
      0.0578993530869789,
      0.130994385560767,
      0.143247295679749,
      0.16748551272425,
      0.200751302351633,
      0.0931664421731313,
      0.195618247475119,
      0.0739495921419947,
      0.0807987203546822,
      0.136097255889322,
      0.13686679381945,
      0.185848837636794,
      0.062386271365119,
      0.203506283174575,
      0.128027129595202,
      0.0999422613366958,
      0.114756448244509,
      0.139440610261042,
      0.239840195749625,
      0.336926910855715,
      0.344674860035442,
      0.288778415188779,
      0.406754429274319,
      0.25560602215484,
      0.289896497738362,
      0.566123369473827,
      0.342694952568331,
      0.426168943940449,
      0.373665454318846,
      0.27861894840642,
      0.462627002970119,
      0.400953812948197,
      0.387107338533438,
      0.445553223064493,
      0.407378938471648,
      0.441962090762867,
      0.211851809851231,
      0.355574048173375,
      0.514459929864098,
      0.306599146328157,
      0.32569214968793,
      0.332145490260931,
      0.478310886025405,
      0.207718455819757,
      0.2912057851097,
      0.480334954128898,
      0.327642701778792,
      0.481893481096547,
      0.285282372152163,
      0.497937643569971,
      0.37962564047803,
      0.282739600202798,
      0.301631536935118,
      0.466373786322152,
      0.31458100428967,
      0.306576648097301,
      0.362394494763439,
      0.418791180162733,
      0.476273260491537,
      0.209590323596412,
      0.361840411573492,
      0.423860808888244,
      0.25863173887622,
      0.267834916268148,
      0.3712792378258,
      0.380466501011987,
      0.271542285438244,
      0.244138477722492,
      0.484463185555587,
      0.129601897144926,
      0.23295959358375,
      0.317062312000399,
      0.443151743695443,
      0.241877265018804,
      0.338571403879706,
      0.464618303997651,
      0.240180284609894,
      0.311512703401801,
      0.479638500729793,
      0.502571767075819,
      0.385261939983352,
      0.421750422346097,
      0.429500778584665,
      0.320661988028488,
      0.447039124465476,
      0.450069366338355,
      0.287553727301511,
      0.326683047766452,
      0.432150022331496,
      0.425208851466615,
      0.408901063954417,
      0.4898482632801,
      0.354483521190145,
      0.156593524231663,
      0.297134253817933,
      0.491662367492471,
      0.299373330864837,
      0.223176482053815,
      0.402117599426255,
      0.448394944826827,
      0.199859884077323,
      0.10946308053241,
      0.469538941812544,
      0.426710860851742,
      0.232069775560362,
      0.327674493043652,
      0.46394954486267,
      0.535822159040704,
      0.237906920560337,
      0.411555125380629,
      0.518713091922999,
      0.258216948874874,
      0.257298203100489,
      0.352077908313094,
      0.392928862634807,
      0.164240398752238,
      0.443929475776608,
      0.416211656379982,
      0.265513498811825,
      0.389380992295516,
      0.317327464589905,
      0.402330611022562,
      0.154096368660953,
      0.478873957937218,
      0.306181728174592,
      0.413283232411617,
      0.350557274060058,
      0.593201243223548,
      0.339932810277186,
      0.312262362530378,
      0.363226634789703,
      0.20917224127315,
      0.233861524182058,
      0.41091410442104,
      0.405243826810924,
      0.38619879349684,
      0.3245318769133,
      0.451179890426464,
      0.271893898896932,
      0.366079184303888,
      0.420844091632493,
      0.453470226599157,
      0.305897724010019,
      0.332218542226213,
      0.463003613322633,
      0.35868712222414,
      0.417709171987229,
      0.250194339034634,
      0.507130101272769,
      0.422407385316018,
      0.350922882132669,
      0.367821178153301,
      0.443994697169851,
      0.449970209358223,
      0.146825212242786,
      0.469523450186503,
      0.410923700256545,
      0.306193048876701,
      0.170518645828764,
      0.466809830094623,
      0.514255383835495,
      0.239871858053689,
      0.314894822103348,
      0.497070459263661,
      0.379132653100224,
      0.340017031569751,
      0.359451374764998,
      0.452886490948197,
      0.120028324109986,
      0.156782746130006,
      0.392252379363068,
      0.428147608526151,
      0.277959932061162,
      0.334986908802607,
      0.483697501384748,
      0.312121680077372,
      0.341717250617946,
      0.40975194428471,
      0.363295506854667,
      0.399248463714489,
      0.372971661338593,
      0.264942075240348,
      0.157024139938175,
      0.382839987632624,
      0.398567441387946,
      0.584428194983584,
      0.419697272897329,
      0.469770696237966,
      0.325228802096832,
      0.184531796172546,
      0.613141335466465,
      0.317169346202476,
      0.181134926847727,
      0.355625300526308,
      0.451797918440927,
      0.449868859941003,
      0.242561736345374,
      0.461365116152714,
      0.405565124172177,
      0.235130638800441,
      0.235034704825356,
      0.498479977510546,
      0.463354789666653,
      0.174792349198209,
      0.29083174267115,
      0.472837036484973,
      0.191958234961757,
      0.406019363905245,
      0.48558716507146,
      0.511387525888713,
      0.395895020514397,
      0.286537278091707,
      0.442932490024058,
      0.346029493067626,
      0.5875264637854,
      0.452010321020338,
      0.475417965038122,
      0.28863003977954,
      0.426485744764145,
      0.311988044760936,
      0.435040288706954,
      0.0952170426816742,
      0.232069879183496,
      0.49827503072,
      0.463839656687846,
      0.3765098956729,
      0.298304927896542,
      0.351877073677854,
      0.230209578283107,
      0.218730189739234,
      0.180968711624166,
      0.338526984941524,
      0.376386266694096,
      0.444346035631736,
      0.255819377073547,
      0.462705023166279,
      0.412310484655659,
      0.268015097818149,
      0.465284819298894,
      0.558772686325888,
      0.41906997234529,
      0.28325801893703,
      0.311278331996063,
      0.649605019101662,
      0.186356566985253,
      0.249846072909407,
      0.336908490295795,
      0.485804770170583,
      0.217578076465855,
      0.351804971418367,
      0.445709089893275,
      0.387577622596416,
      0.385144504823802,
      0.285761993474545,
      0.49951297506754,
      0.347344031863509,
      0.276236057905082,
      0.20722723763018,
      0.39866063922502,
      0.364338924407477,
      0.26677047114034,
      0.422902055960717,
      0.382262908960026,
      0.386252361202573,
      0.36667237047651,
      0.411169334782406,
      0.453383409598035,
      0.464496861453703,
      0.281974129155404,
      0.435777677027281,
      0.399934642091186,
      0.237610562146593,
      0.293554726441194,
      0.474471784469942,
      0.272353237743761,
      0.228219327051996,
      0.304564567820118,
      0.409493325269482,
      0.344983654158678,
      0.322328135081774,
      0.520486752169294,
      0.211687499329169,
      0.294819996358058,
      0.189250793186746,
      0.409968697867962,
      0.25910482645266,
      0.415421931264884,
      0.444885460139587,
      0.277114397122224,
      0.468861906016466,
      0.419226754982357,
      0.344253623105155,
      0.496660422123654,
      0.453614553986882,
      0.433619700649605,
      0.26689101460723,
      0.476398739259622,
      0.331295551756187,
      0.223373822527825,
      0.294741823058328,
      0.490795927565654,
      0.353763695025158,
      0.233209651560671,
      0.393499387565165,
      0.428055548511153,
      0.299707007240369,
      0.258095586701711,
      0.438093377738943,
      0.418647766650308,
      0.499965019695203,
      0.205471062467291,
      0.499617828948531,
      0.429247177527205,
      0.414074911823306,
      0.355416561680448,
      0.466742595547575,
      0.196014497547612,
      0.307818468724654,
      0.402656039091632,
      0.421183918527156,
      0.305533348250407,
      0.293270863838718,
      0.466930410022327,
      0.449336989161903,
      0.253907622916947,
      0.44321509377183,
      0.45008579924303,
      0.24459148275768,
      0.314394229319993,
      0.293868794135851,
      0.322455297405168,
      0.303850701361105,
      0.350019908310116,
      0.384701729080019,
      0.316951539539049,
      0.343501011573092,
      0.278375675001612,
      0.496920028030814,
      0.455279083534442,
      0.437220101526621,
      0.312680050647906,
      0.326972767027417,
      0.451086155127452,
      0.300433139852613,
      0.34249628493667,
      0.41066609221782,
      0.427632363546683,
      0.373861841987768,
      0.347098442518586,
      0.446980007600377,
      0.339621195628629,
      0.3118786689104,
      0.178698688644033,
      0.506615401663233,
      0.35448529124622,
      0.337781040417983,
      0.33857269877977,
      0.460953692847101,
      0.464066129466519,
      0.0816179611110914,
      0.0832722941594437,
      0.129094762202473,
      0.162473487324482,
      0.316294552271992,
      0.445790626949919,
      0.296128755674779,
      0.152233972344998,
      0.610132082653304,
      0.38518742415108,
      0.314026746523061,
      0.559891197826128,
      0.158010736637968,
      0.147721512645222,
      0.369291791550904,
      0.361290205800124,
      0.29822920597568,
      0.253176328297298,
      0.210949559507758,
      0.205530851624112,
      0.144465234058834,
      0.248961982533356,
      0.253053072371261,
      0.327435069971028,
      0.281890937416543,
      0.672231257280366,
      0.329733710592173,
      0.284130723201344,
      0.358965259683021,
      0.403238836830902,
      0.343044307918169,
      0.347176357221573,
      0.424355694519117,
      0.411268203044422,
      0.40520964574201,
      0.355272210008283,
      0.458107768614538,
      0.340414857224681,
      0.185257512868782,
      0.295347452310594,
      0.457749123248329,
      0.391207486702614,
      0.358159166017428,
      0.471261289708227,
      0.427683200604485,
      0.283623071722041,
      0.315070383276538,
      0.498638263599147,
      0.370115876778841,
      0.312107368366818,
      0.318102283957393,
      0.484886234509393,
      0.325402525447902,
      0.240267923089567,
      0.455396147328424,
      0.496454559457239,
      0.14149101567781,
      0.263740157859358,
      0.452482216472083,
      0.369973411117098,
      0.293629781228974,
      0.294715559793325,
      0.489874863776019,
      0.507578408763972,
      0.256125878019626,
      0.448808592378749,
      0.484450031298214,
      0.258158049721457,
      0.305756013633242,
      0.357692082132887,
      0.313390847238306,
      0.300954141674867,
      0.322724758498853,
      0.376646687772048,
      0.289417107750382,
      0.292979472625797,
      0.284041200798584,
      0.555540824375995,
      0.411760220070052,
      0.417032088118486,
      0.312418346676397,
      0.306379597777958,
      0.426257795763361,
      0.285802019039041,
      0.315262425556376,
      0.439588657033495,
      0.440023944542685,
      0.396316008165866,
      0.354485471511362,
      0.478250524387177,
      0.329094482476596,
      0.336873136922204,
      0.368335492707858,
      0.449050136406525,
      0.314819959529325,
      0.323677477478736,
      0.426940737127277,
      0.407073793276783,
      0.454558563564723,
      0.268277666913882,
      0.523055345333791,
      0.456938177437895,
      0.345382788327561,
      0.350585662350099,
      0.442818684312861,
      0.480714765332268,
      0.136841811404457,
      0.399680945182101,
      0.435723035810036,
      0.329321313010805,
      0.265006480113358,
      0.404090481432042,
      0.515004772551994,
      0.158380118089965,
      0.129303489801562,
      0.124478888219937,
      0.116607253010125,
      0.0996481841896916,
      0.115267241303011,
      0.0933707556557968,
      0.130074484544488,
      0.170424071049924,
      0.0848840488858071,
      0.181924122328551,
      0.18448226888122,
      0.27049802626642,
      0.239591464778835,
      0.140089955341636,
      0.0950962994359505,
      0.175527571200268,
      0,
      0,
      0.145622273372603,
      0.0632957922392902,
      0.0463740117630399,
      0.0834873103532432,
      0.102594003539921,
      0.15006303961321,
      0.172125098155929,
      0.151790652877064,
      0.117798130578263,
      0.0332016400194637,
      0.0242679811093217,
      0.0806519032995317,
      0.166923309844713,
      0.186240720411978,
      0.117330524114328,
      0.1896407098653,
      0.0366899128759637,
      0.0769079556994672,
      0.120658782124056,
      0.131981881128585,
      0.185411933618853,
      0.0811830482646511,
      0.194335660899137,
      0.122160785989411,
      0.0683569058046979,
      0.120233466648832,
      0.155637388209222,
      0.242926740062835,
      0.322696770093136,
      0.315568098516754,
      0.303520497055216,
      0.404850172576658,
      0.241992800662009,
      0.296009223818662,
      0.530942968988745,
      0.345397982466009,
      0.442656295339594,
      0.372645832183202,
      0.266219901856999,
      0.444052471128231,
      0.369524190222501,
      0.38252784077428,
      0.438759288596357,
      0.401764396398244,
      0.419162855609044,
      0.252802212795858,
      0.316221953542085,
      0.502898865624685,
      0.308749517895802,
      0.315210632188186,
      0.313514233290043,
      0.480344078066753,
      0.188885152261608,
      0.284765090958925,
      0.467898170944406,
      0.317892867328004,
      0.464473750439446,
      0.313052055785908,
      0.462202395634166,
      0.398007738629565,
      0.267362411164062,
      0.264088366417849,
      0.484693903316248,
      0.308132289003615,
      0.321628306650105,
      0.319893120744968,
      0.399434335621325,
      0.345949249457532,
      0.210514642379704,
      0.347303867743151,
      0.443063960928027,
      0.237220513978246,
      0.265777095840255,
      0.364788279246715,
      0.368650072986154,
      0.259514902835002,
      0.265205942272867,
      0.480008981245305,
      0.194348403917772,
      0.232269007061055,
      0.263192115139803,
      0.454450902972233,
      0.226607852030699,
      0.318658519482691,
      0.453195223362922,
      0.256725219437211,
      0.297324402088531,
      0.472061152005019,
      0.483795457036153,
      0.39587754170664,
      0.418693046455265,
      0.408777381676083,
      0.316457781937141,
      0.443489651078671,
      0.437857034947797,
      0.297058102198372,
      0.313402694932478,
      0.451825648753703,
      0.436198557141735,
      0.378670500976093,
      0.461427209489241,
      0.380917641369762,
      0.159477184135005,
      0.294241132953194,
      0.464951555315482,
      0.353326881264096,
      0.243691206355524,
      0.381136824317824,
      0.429582971514248,
      0.18443023566586,
      0.101573845185814,
      0.4408819796681,
      0.4710920180364,
      0.235475251935302,
      0.336050021030878,
      0.456357512467654,
      0.49254806654392,
      0.184579245574644,
      0.418962233068706,
      0.515761893413435,
      0.216713655414927,
      0.277837485386791,
      0.364274900249379,
      0.382229489588917,
      0.112798812366399,
      0.458391351517165,
      0.384123263996919,
      0.282213869997634,
      0.406218730481175,
      0.330697800538666,
      0.357525224365528,
      0.120319376250607,
      0.475646259887259,
      0.317005240036269,
      0.399873866930801,
      0.368369030770556,
      0.577039825486217,
      0.306121936921017,
      0.295179724634126,
      0.347389935262167,
      0.181830342610894,
      0.287413237682377,
      0.409629898469606,
      0.417588061082964,
      0.357994533950801,
      0.3248586035449,
      0.447733042623976,
      0.273346181762733,
      0.36926076802459,
      0.412421604657506,
      0.445710168301501,
      0.303376022945627,
      0.342181222999885,
      0.445290450594463,
      0.374835241771928,
      0.400205565163159,
      0.277483141967341,
      0.473644453813505,
      0.427522793346007,
      0.312308295420988,
      0.357442169722318,
      0.424321470525824,
      0.377249717653926,
      0.230971704543768,
      0.448129233195436,
      0.443456948860701,
      0.323068717905648,
      0.165652420246483,
      0.439406448514261,
      0.516482179372816,
      0.279285796612787,
      0.288033472305582,
      0.526169456534527,
      0.402868260268353,
      0.317855542160556,
      0.32855681475523,
      0.450985808215854,
      0.211633293044175,
      0.211651486992733,
      0.401130496590051,
      0.425744519773981,
      0.285502607276539,
      0.326732908055207,
      0.48081494166754,
      0.246850989733618,
      0.307010465527701,
      0.42836493522697,
      0.36637234250186,
      0.384114180770053,
      0.370395915196793,
      0.275714032487384,
      0.188377954396795,
      0.374595935329533,
      0.391213111174823,
      0.602635019466904,
      0.439118026146826,
      0.478079217706598,
      0.316001143682973,
      0.251235061080317,
      0.615888328004131,
      0.326316049613723,
      0.173258089392171,
      0.345500007297172,
      0.41817441833729,
      0.430734407440881,
      0.227915866361638,
      0.432222608552044,
      0.399095310115006,
      0.19198825263675,
      0.297919600154139,
      0.482158381679902,
      0.444998946249331,
      0.170286083250548,
      0.284252785304216,
      0.472694740151504,
      0.168122725741129,
      0.468463802023323,
      0.433895834642777,
      0.525725730554756,
      0.328042927347331,
      0.298805290757394,
      0.438666991303866,
      0.341542512111785,
      0.580671263192058,
      0.463470353360895,
      0.440128903801994,
      0.302252391262759,
      0.410459485638868,
      0.325479706059258,
      0.437992194380968,
      0.128371840411971,
      0.265899345417867,
      0.472862349692194,
      0.411252747627595,
      0.362190670998511,
      0.304601592715103,
      0.320719680286955,
      0.273764563629206,
      0.218304408255881,
      0.196990714401082,
      0.321509567165785,
      0.383015415835515,
      0.459475262707305,
      0.27021157497935,
      0.503410667936949,
      0.4010811501702,
      0.272889027479415,
      0.464680613732228,
      0.513728381741877,
      0.415671093330631,
      0.29326067550821,
      0.310301505220651,
      0.639765711101605,
      0.185686827639984,
      0.231706648050878,
      0.327940070735557,
      0.489408505057468,
      0.187528439623823,
      0.378049981486753,
      0.424153163269473,
      0.384376563406788,
      0.363562433260364,
      0.397542299837035,
      0.449873158977416,
      0.354114240712634,
      0.279046343817383,
      0.244554949159973,
      0.390353422322582,
      0.354228859431617,
      0.255586223084588,
      0.365174929886918,
      0.397930586111092,
      0.371573752190936,
      0.351942185625182,
      0.37861753908122,
      0.430543277147275,
      0.41335314469504,
      0.308929319161912,
      0.408870419398491,
      0.405613976320961,
      0.202293910797867,
      0.239808768193344,
      0.448382274428184,
      0.280849893018716,
      0.270346189522274,
      0.309536360170563,
      0.398898060196011,
      0.326631091036598,
      0.328120429427069,
      0.453924265837959,
      0.264375011507991,
      0.305955905772792,
      0.178934613056296,
      0.397917877797173,
      0.249095547979702,
      0.419588846108957,
      0.390603685934553,
      0.200040341522248,
      0.459665992409654,
      0.414418834481216,
      0.359046474529343,
      0.518831849224452,
      0.480245023800803,
      0.42560154153662,
      0.286836536264221,
      0.462461664917561,
      0.355600020082333,
      0.187191548135789,
      0.275197059723505,
      0.472038743353775,
      0.347144947675282,
      0.262751469165901,
      0.376914553303962,
      0.428932517676833,
      0.296726275404459,
      0.248465404246011,
      0.417572901144238,
      0.451118116129463,
      0.476542128043778,
      0.286136724041175,
      0.481520974193427,
      0.427251872496994,
      0.402829088273905,
      0.301010553091231,
      0.508141896454585,
      0.200045886064117,
      0.276091610632228,
      0.352732090562688,
      0.426051632646564,
      0.279236822057539,
      0.265988577377355,
      0.439677452019893,
      0.406203372133772,
      0.25371226932037,
      0.42463827357479,
      0.409511166393761,
      0.256302567749783,
      0.290481430864027,
      0.301324834989943,
      0.323451569764045,
      0.307115078089182,
      0.35787912515156,
      0.40396071464751,
      0.297563781818622,
      0.350625037883791,
      0.285935254639607,
      0.476800317050258,
      0.453531727460098,
      0.436918955697911,
      0.304784781744021,
      0.333170315246198,
      0.433068377491167,
      0.32577770466218,
      0.329974188855491,
      0.404248535414244,
      0.39852477735471,
      0.373771117425796,
      0.343536357658975,
      0.400968848642092,
      0.313425040364799,
      0.297554204668059,
      0.208868498897752,
      0.508626100615434,
      0.3700212576695,
      0.334888346309388,
      0.346387238314258,
      0.467108403825788,
      0.458167290388165,
      0.0767477126717711,
      0.0970317677404232,
      0.141352302261633,
      0.153385308041977,
      0.316535027920152,
      0.412068960390102,
      0.293877810497007,
      0.157071192501693,
      0.617448277932087,
      0.364455660548793,
      0.331800718461076,
      0.538418737178535,
      0.144341764903884,
      0.161032013064172,
      0.328843067181968,
      0.346779973900383,
      0.282399971187616,
      0.163385578756606,
      0.202311628088257,
      0.172320171223527,
      0.181401108457169,
      0.245358490276263,
      0.267441088238745,
      0.242101395703711,
      0.279742834462106,
      0.657095552862212,
      0.318801584679883,
      0.267357203712071,
      0.368632826655038,
      0.368990322729148,
      0.343707268154562,
      0.388094817104078,
      0.417677778949619,
      0.424524905409172,
      0.411439541121434,
      0.345915181222582,
      0.426744819475486,
      0.340411288688326,
      0.186802925929336,
      0.306985624634442,
      0.461451389673913,
      0.374778455532573,
      0.287707833690069,
      0.456586772950128,
      0.401092458211563,
      0.28821280435261,
      0.283102241006359,
      0.461308293175051,
      0.420741655169372,
      0.299968339192721,
      0.308264959148758,
      0.468771889214754,
      0.298592393511212,
      0.214425767192371,
      0.416976029775013,
      0.475928328797358,
      0.178036267520046,
      0.322531871517341,
      0.415100551562066,
      0.36650368149152,
      0.323652564208507,
      0.275444869482023,
      0.451335915284309,
      0.459947969511539,
      0.291246631309309,
      0.427121738656698,
      0.464670033374365,
      0.281109724372235,
      0.304277147706849,
      0.344960463011552,
      0.298103891321229,
      0.298104161182187,
      0.330961048292582,
      0.384764742390764,
      0.283675804979892,
      0.281997907202848,
      0.298666875597697,
      0.555661796050942,
      0.419603654341762,
      0.41129332493119,
      0.28828122603336,
      0.29685816349608,
      0.39737099504355,
      0.322618184309047,
      0.31576854893241,
      0.431792477230135,
      0.442705088440263,
      0.365548542092065,
      0.350041478249247,
      0.461892466376251,
      0.304077055031372,
      0.350321431242418,
      0.368744576495809,
      0.437447545330634,
      0.307596170654751,
      0.371724366953688,
      0.396672166559739,
      0.407342929643578,
      0.424748659232739,
      0.287198496095041,
      0.488562159635871,
      0.470929430850157,
      0.334747282583052,
      0.335878448822142,
      0.424418196129853,
      0.429216318548204,
      0.216545407198244,
      0.328165900832748,
      0.471572230989181,
      0.33726602081696,
      0.278703975715238,
      0.377828209320209,
      0.519351545221661,
      0.23222410252775,
      0.300176689689007,
      0.309735227444061,
      0.33271739923963,
      0.253847249396144,
      0.170522668907999,
      0.25687396211343,
      0.279531190951071,
      0.233138518179607,
      0.197971184118291,
      0.2608980411678,
      0.269524373846319,
      0.267712464547319,
      0.23563094982086,
      0.212125033396309,
      0.210829153642962,
      0.257052486539228,
      0,
      0,
      0.135562388987233,
      0.0628188696989657,
      0,
      0.0185993020479359,
      0.00821389878160964,
      0.101789085347347,
      0.185447814937798,
      0.111010145651017,
      0.0732906940416861,
      0.0218592359917406,
      0.000275220441021784,
      0.0213080498655479,
      0.131573602072963,
      0.165891629780913,
      0.0828556925202847,
      0.167367699611586,
      0.0382297521049219,
      0.0294338225735318,
      0.107312711914381,
      0.105317984795716,
      0.146668000953223,
      0.0505963879535418,
      0.139581003325599,
      0.0419711095115863,
      0.0297206606622785,
      0.0821155403432393,
      0.114954967743943,
      0.231641228100233,
      0.297156913596537,
      0.288371269349874,
      0.258055490459668,
      0.347297746980777,
      0.229669508920991,
      0.220967113645302,
      0.429410919027994,
      0.341214335489731,
      0.432391295928703,
      0.344270105734272,
      0.239719609717995,
      0.389158300863772,
      0.361122482015886,
      0.363944253448633,
      0.410592315985054,
      0.396139364799998,
      0.391540690177705,
      0.198300233644391,
      0.319169063186167,
      0.490745896404105,
      0.28243357637787,
      0.286514550048154,
      0.322332755092526,
      0.449669012892157,
      0.159031674185193,
      0.24247844682657,
      0.44274892904478,
      0.27034993820725,
      0.458219504584541,
      0.299994728642668,
      0.406491846433248,
      0.348404477363374,
      0.233011475150562,
      0.257983378173267,
      0.425382974167903,
      0.294710531511537,
      0.323494477116261,
      0.258627643101091,
      0.349249062298283,
      0.358272048011614,
      0.12158752176386,
      0.26696946897153,
      0.412825625668426,
      0.218474576268596,
      0.229157317784195,
      0.316486261848174,
      0.329621900707561,
      0.2198011492477,
      0.212706990168173,
      0.424265057368358,
      0.109725174729029,
      0.1733621198713,
      0.243863673030082,
      0.417663838497532,
      0.204645927364288,
      0.275177145596319,
      0.444796408878369,
      0.225219612666254,
      0.253556749192579,
      0.426918807787785,
      0.454730621348303,
      0.367525046626393,
      0.393521881426376,
      0.362670007207316,
      0.290252879074638,
      0.423382921715111,
      0.44776112814088,
      0.286085202385208,
      0.293709253733218,
      0.421066409364292,
      0.430389123472704,
      0.433359187509232,
      0.464602652006826,
      0.343564169440077,
      0.162454145970173,
      0.315471573986954,
      0.432533585572605,
      0.323364789631302,
      0.242650567275419,
      0.421722240898665,
      0.375978850872702,
      0.129706414655817,
      0.138329912491775,
      0.363832043135732,
      0.415726857115837,
      0.196522825974718,
      0.319011872106006,
      0.409820507897029,
      0.477973209251574,
      0.136192987513559,
      0.365839142137324,
      0.452059667545251,
      0.209275353886328,
      0.241502972249172,
      0.314801400417336,
      0.311592030382958,
      0.090777305437822,
      0.440946883745296,
      0.362052264038998,
      0.261826686311187,
      0.360772065317537,
      0.314306585332185,
      0.296324771710946,
      0.0874260332354238,
      0.436468355377693,
      0.225928313504656,
      0.3998556114517,
      0.336703797802944,
      0.522658338645622,
      0.245566025281398,
      0.285060822667972,
      0.307884037923346,
      0.136283755076546,
      0.306979124968617,
      0.387440576390131,
      0.396687203233144,
      0.332342324876346,
      0.292374575642227,
      0.446195717766392,
      0.202870628636965,
      0.306518784127142,
      0.406965015987986,
      0.418225445464722,
      0.221575675784078,
      0.275386418415197,
      0.456983281068987,
      0.330543901421657,
      0.352089204541536,
      0.262562214886206,
      0.460120849141074,
      0.399982250929377,
      0.268362480437177,
      0.378535842078587,
      0.36743694562034,
      0.359508240627405,
      0.13549920313287,
      0.383102499280776,
      0.399888659735694,
      0.295264113788398,
      0.132363441004919,
      0.382568256600395,
      0.422533378726674,
      0.200403493884866,
      0.289767139753525,
      0.471869187686007,
      0.378099492987534,
      0.268091821333358,
      0.313467581608958,
      0.402114220821652,
      0.128037000414924,
      0.139743371015562,
      0.318727950012869,
      0.404356440255267,
      0.241705886473742,
      0.299315556907899,
      0.42552762675273,
      0.209683823982632,
      0.247869965946647,
      0.365011656127984,
      0.33960920446978,
      0.359148439623545,
      0.312411838347341,
      0.237357242955995,
      0.148811115948304,
      0.348197757027714,
      0.319709335109819,
      0.580389616694697,
      0.413620506449867,
      0.437519406668575,
      0.246416870983932,
      0.22307012406997,
      0.559004569720218,
      0.271251402502953,
      0.157521950686546,
      0.328531968336773,
      0.416579010820453,
      0.37513313892654,
      0.158979337459954,
      0.455512816103714,
      0.365072096264948,
      0.110615797969993,
      0.330378258641703,
      0.441767011906276,
      0.389763642835546,
      0.12666947600166,
      0.2948970250614,
      0.424071450022854,
      0.188408088538089,
      0.439926064327014,
      0.356974523127038,
      0.477378859525824,
      0.285153888743263,
      0.278890248851363,
      0.40070775191096,
      0.280356462465892,
      0.516591487566834,
      0.394205830050318,
      0.400117523442565,
      0.264386170712399,
      0.320762632329411,
      0.258033234667126,
      0.37779378119291,
      0.15478656307284,
      0.20754087408456,
      0.445296949129657,
      0.387987221132889,
      0.336055429519354,
      0.236623797970205,
      0.242530750762705,
      0.282197238585505,
      0.199353480483122,
      0.202497643843405,
      0.255965388688289,
      0.343002927358772,
      0.40676462927063,
      0.272190507730928,
      0.480785515238226,
      0.389775970450393,
      0.248346944708862,
      0.385571737976575,
      0.468773163913719,
      0.405588874500245,
      0.298967875558833,
      0.312929910166508,
      0.59267877016496,
      0.162418499058511,
      0.185926756496993,
      0.337485290101591,
      0.439667201650819,
      0.151564743265612,
      0.335199212909362,
      0.434204088303578,
      0.346214911295226,
      0.30687447256405,
      0.334332692981557,
      0.409073398753018,
      0.308328987001305,
      0.235675885042194,
      0.224733067373431,
      0.326240298149089,
      0.325945767064752,
      0.219122198136222,
      0.307399791784705,
      0.339419066486751,
      0.35443277547906,
      0.335780398466067,
      0.350375950831881,
      0.403886165339634,
      0.355817347597825,
      0.258854446441605,
      0.354190231481717,
      0.375391206601808,
      0.176817293906133,
      0.208100910317661,
      0.387923351927209,
      0.227530818258885,
      0.176823689227703,
      0.265923127135964,
      0.3857362282775,
      0.288132101168878,
      0.274214388832341,
      0.428056213405432,
      0.235378600978142,
      0.263177458834929,
      0.128456106494908,
      0.378184150399201,
      0.227422818285441,
      0.388912732654546,
      0.353203509622779,
      0.212644396760792,
      0.415498432134072,
      0.362729307174028,
      0.282493916619793,
      0.435120848111352,
      0.452392009127272,
      0.345606171882385,
      0.314644766638031,
      0.463736912203329,
      0.292181262278828,
      0.151762687834788,
      0.303876763962187,
      0.44317856109109,
      0.301651479815,
      0.248406327181895,
      0.409216583028279,
      0.391015913563058,
      0.271869799822644,
      0.217228631443136,
      0.417542272943373,
      0.397619431044379,
      0.474401381816502,
      0.197736972844818,
      0.410187224834161,
      0.392575039392018,
      0.345334907493739,
      0.259559928993281,
      0.463089353883426,
      0.145997278808509,
      0.205060352006115,
      0.296997925961223,
      0.362245022453737,
      0.240970941281972,
      0.234683546205227,
      0.395882287312464,
      0.322295139227942,
      0.237002457711446,
      0.269994633937377,
      0.342016403672483,
      0.204009306877098,
      0.258097232147073,
      0.270924182060295,
      0.295026786335093,
      0.295436435394093,
      0.305370131505189,
      0.352320175219457,
      0.2579962972611,
      0.320596344086858,
      0.219524273673156,
      0.427508466296985,
      0.43439535521339,
      0.377986805732581,
      0.227608596814358,
      0.289831056364537,
      0.429113443258543,
      0.269537508684698,
      0.2902744063719,
      0.392334551449931,
      0.388198906624469,
      0.336430310156499,
      0.31414919306004,
      0.427481865765571,
      0.270324871675397,
      0.228313860163816,
      0.134942381664105,
      0.479857801509664,
      0.311583491346374,
      0.284393372379206,
      0.340802279594353,
      0.423925325752541,
      0.380794223503837,
      0.0131766880766774,
      0.0848568888674938,
      0.170492462187833,
      0.12535493905672,
      0.297674143772289,
      0.349253654278921,
      0.256630875828114,
      0.114801020761378,
      0.542311569991115,
      0.273028890204589,
      0.332792106088386,
      0.507895554997417,
      0.0964859481095681,
      0.163663887376907,
      0.285091714019251,
      0.320174007311463,
      0.243166183821793,
      0.174888439240801,
      0.171122717140391,
      0.157215631862591,
      0.176083558625488,
      0.188772376134307,
      0.206654581310441,
      0.200120974493275,
      0.301009278841424,
      0.585891161297111,
      0.270181433287419,
      0.246176181917276,
      0.301429930110176,
      0.331348895258276,
      0.284667270784739,
      0.32736697309709,
      0.36446253776009,
      0.403807098517831,
      0.37269492266912,
      0.326728257788208,
      0.412635379699744,
      0.284822791081075,
      0.138581065892118,
      0.268983173479346,
      0.44652333100462,
      0.340321511495593,
      0.285686704210057,
      0.444404101037745,
      0.363770088916031,
      0.242254110435408,
      0.25212697865491,
      0.437002585936614,
      0.378988070268618,
      0.252659175761806,
      0.332204310209618,
      0.428850973869001,
      0.269686734991207,
      0.153950666083582,
      0.362444894387774,
      0.402971151199938,
      0.145031737252348,
      0.24317363077295,
      0.355003887722833,
      0.314655223326938,
      0.266036550304845,
      0.2300267606296,
      0.402157360178987,
      0.371616882513695,
      0.19589349421264,
      0.24416828691367,
      0.398976100951894,
      0.244447042853733,
      0.241159809941582,
      0.334515175472095,
      0.27277246502387,
      0.267199133704412,
      0.265776457225633,
      0.345534962099467,
      0.260787939797381,
      0.258873820374847,
      0.220295662129055,
      0.443492026750628,
      0.387935271996065,
      0.359249160283476,
      0.20193250688205,
      0.251560390055001,
      0.396729654979284,
      0.273367899553172,
      0.288641718090085,
      0.380618246784627,
      0.403853752081621,
      0.328455794980764,
      0.325373396791423,
      0.466215150131817,
      0.251780848082579,
      0.259110047181337,
      0.357985723690302,
      0.431116171151786,
      0.233614083640481,
      0.295939901824217,
      0.44294624044018,
      0.384417221142135,
      0.373961965302909,
      0.260796882597142,
      0.470001139818311,
      0.446764904298956,
      0.30459472791328,
      0.319680249912991,
      0.379801380591733,
      0.397222850220556,
      0.113994788102849,
      0.293947163534672,
      0.427416345001178,
      0.299524174224155,
      0.206197195715409,
      0.348516188856502,
      0.446098006800941,
      0.171572855777687,
      0.192106351136366,
      0.174852815349922,
      0.171829511308019,
      0.139664717072118,
      0.12794819949962,
      0.158603006766988,
      0.175274464134691,
      0.163401324292649,
      0.094931471164362,
      0.159431098104444,
      0.189420654973391,
      0.224067419057691,
      0.0874420662946318,
      0.0961259407386623,
      0.0881861035632275,
      0.167676700132978,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.00904408598829362,
      0,
      0.0203360326210669,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0129695189189172,
      0,
      0,
      0,
      0,
      0.136757040188185,
      0.188583587872635,
      0.160894548097612,
      0.0863292362281769,
      0.230362359797509,
      0.0998764692904614,
      0.131113858686946,
      0.358919526224801,
      0.224911619920693,
      0.355738817324834,
      0.220142975822048,
      0.130760370465465,
      0.237541572415737,
      0.260524093093546,
      0.261902351103448,
      0.27917365200444,
      0.314175291171806,
      0.271558908167024,
      0.0363834426851969,
      0.197044207284676,
      0.348734804735202,
      0.130909211417361,
      0.132674708967869,
      0.227231456517356,
      0.305441223586146,
      0.0359656022040271,
      0.0801943759459916,
      0.30615661988452,
      0.153270302639562,
      0.329406935189032,
      0.185030655063433,
      0.262995779435975,
      0.204020315450953,
      0.127887825016918,
      0.161361041937078,
      0.268907262936239,
      0.225583406355181,
      0.292001403780411,
      0.143276506178739,
      0.272720459248522,
      0.180840382506499,
      0,
      0.111928061152493,
      0.24567354615756,
      0.10212667587034,
      0.114840429727697,
      0.264854803620593,
      0.233336627646271,
      0.0653812852092086,
      0.0575025142130619,
      0.292068616323733,
      0,
      0.0409647341247533,
      0.133287869304099,
      0.322408419993232,
      0.0672142635288212,
      0.126504633746671,
      0.327071244218756,
      0.103533250830026,
      0.163369684658341,
      0.302793388230035,
      0.320168849368687,
      0.258066997400788,
      0.232881428974052,
      0.226604282158796,
      0.196177899243453,
      0.309867732221322,
      0.34856074463904,
      0.10856151877581,
      0.184428237483795,
      0.269231485592936,
      0.294643290095273,
      0.286635143523906,
      0.353446782820132,
      0.199443688432422,
      0.0866155114977936,
      0.224878958448104,
      0.317608370902875,
      0.14769871415622,
      0.147967185553097,
      0.305969468236441,
      0.253475497785508,
      0,
      0.0453058020390836,
      0.259115565648145,
      0.242489649838465,
      0.0638097079399698,
      0.198656855100247,
      0.259724209705957,
      0.366367517266301,
      0,
      0.235157599237867,
      0.385634602266056,
      0.0461339299383676,
      0.115966482858209,
      0.174913923711886,
      0.173896672843735,
      0,
      0.296255110069161,
      0.293756892422263,
      0.151469769049344,
      0.226440080032426,
      0.201879879875244,
      0.187848887503206,
      0,
      0.2727762592391,
      0.148906978021843,
      0.294489378950237,
      0.179150608524143,
      0.35116682476342,
      0.135681322360798,
      0.166828484527617,
      0.206359577830049,
      0,
      0.165770565622288,
      0.285491663294483,
      0.252324932044532,
      0.189552346678476,
      0.12033226440999,
      0.324823812079919,
      0.0906234744014288,
      0.179161884826971,
      0.298534431521879,
      0.282222417524348,
      0.0937230983222173,
      0.156763176069133,
      0.323033851316234,
      0.212689208089818,
      0.212386412448243,
      0.144853296047392,
      0.317472152537139,
      0.295956494096292,
      0.137545054179081,
      0.249118861892022,
      0.264255529748753,
      0.207804326990999,
      0,
      0.262149216658518,
      0.225765797892794,
      0.152029055953124,
      0,
      0.265036881449674,
      0.316680147686229,
      0.0742912955079023,
      0.180210110893699,
      0.29904958242473,
      0.251751958285317,
      0.165979026119257,
      0.178443386539118,
      0.278680999287258,
      0.0361212558361845,
      0.0176289742461947,
      0.221668169218739,
      0.296361033657227,
      0.125938705104762,
      0.168561847065257,
      0.241676445572435,
      0.10124161628862,
      0.125626974785392,
      0.203459834363318,
      0.211788944366017,
      0.257528419614998,
      0.177668245342697,
      0.0889809332139307,
      0.0017833659296154,
      0.248073523871439,
      0.218041446072073,
      0.429304330485345,
      0.298185856855061,
      0.285400017692139,
      0.107200399720433,
      0.0956474940333608,
      0.375092604775732,
      0.127429035302098,
      0.0523447058736102,
      0.233045222786917,
      0.269645995850197,
      0.270141182842752,
      0.0197510436789239,
      0.314318704340347,
      0.232550943527753,
      0,
      0.217656745626303,
      0.322985839827974,
      0.297231716686258,
      0.00296923922821099,
      0.173845451040969,
      0.291065626923674,
      0.0892922929340872,
      0.28598582767485,
      0.250505593194484,
      0.39244571572956,
      0.14474871361929,
      0.0811595733485623,
      0.269844329278095,
      0.154095498764405,
      0.405256638476768,
      0.241896256503452,
      0.34982789912238,
      0.131286667170034,
      0.197213052949604,
      0.124915443118662,
      0.254322171749949,
      0.0411101851259958,
      0.0840940699112707,
      0.355213516214125,
      0.265004168501897,
      0.195189731552185,
      0.0602537191430279,
      0.110487523979636,
      0.205698968386424,
      0.10604524670241,
      0.0537242885144463,
      0.146547128378284,
      0.245376463164615,
      0.276892710274696,
      0.154818217067978,
      0.202986303798578,
      0.294247587693543,
      0.107059949107021,
      0.260735452950874,
      0.32457899948567,
      0.241681706013026,
      0.122728583726011,
      0.229355459201352,
      0.466324535307944,
      0.0593485896969391,
      0.0816020305220222,
      0.274263394243274,
      0.286665023746955,
      0.020633041645866,
      0.234581106826849,
      0.302015016730612,
      0.225249788675941,
      0.221576258941239,
      0.222782884164576,
      0.277950089044342,
      0.170004574035479,
      0.127406604827914,
      0.125146385414727,
      0.191330916932339,
      0.219938807267333,
      0.0902509953304214,
      0.15843272150409,
      0.269033585218184,
      0.15943362716337,
      0.213315096319014,
      0.222887820249632,
      0.272574352299738,
      0.17750093604103,
      0.129058740604105,
      0.240299141546754,
      0.236043958083967,
      0,
      0.0893714554318445,
      0.294069366527655,
      0.135830343576298,
      0.0617682854602669,
      0.167197022582948,
      0.25520157004278,
      0.158166177809127,
      0.154049527301033,
      0.290096231130603,
      0.119776427652736,
      0.187994388231767,
      0.0148736099147778,
      0.270953129500836,
      0.116677648263523,
      0.275284921637911,
      0.220125193953055,
      0.0898234522420768,
      0.291961508793268,
      0.245876114049674,
      0.0464620192172331,
      0.312529573189003,
      0.284554363398955,
      0.194760854447621,
      0.174306192523377,
      0.326509773055352,
      0.166104981708941,
      0.0237722468245211,
      0.200317081163908,
      0.29443997907729,
      0.205219542795092,
      0.0788784702508099,
      0.277285837818886,
      0.277628141119866,
      0.157049714448568,
      0.0894053348748601,
      0.256128531186224,
      0.24224813731489,
      0.325642956099019,
      0.0523917972049651,
      0.296270068187274,
      0.282986923364918,
      0.211009705655224,
      0.149074463691169,
      0.330619384610162,
      0.00965770642630944,
      0.101628642281592,
      0.169144648570585,
      0.236499094311923,
      0.115641650607566,
      0.110111471558541,
      0.296863656673792,
      0.245340743230535,
      0.123130201625489,
      0.173934109082251,
      0.234141584500663,
      0.0588963087973823,
      0.134217368231955,
      0.111406501982843,
      0.16714563014286,
      0.174773770929052,
      0.135951287125793,
      0.201713502124556,
      0.11414623924172,
      0.21927980074919,
      0.108669329872956,
      0.319837613803952,
      0.339479939010224,
      0.246744386997539,
      0.0630539202825827,
      0.117050873425624,
      0.314964381583775,
      0.136435045827292,
      0.140698198925353,
      0.301953191913359,
      0.286917472853747,
      0.202614606317395,
      0.161613650092957,
      0.311184354439755,
      0.190257562044544,
      0.0704136005175063,
      0,
      0.359881667807834,
      0.194578102705945,
      0.121061263574657,
      0.21887878015592,
      0.275444500918505,
      0.253609582541024,
      0,
      0,
      0,
      0.00625185709152874,
      0.154367896825456,
      0.207797053525655,
      0.13370306807277,
      0.00604511879580256,
      0.411761946747862,
      0.131709718076545,
      0.188876773736757,
      0.378492193753977,
      0,
      0.0156323056571967,
      0.154474118548686,
      0.180419310417021,
      0.098808327888963,
      0.0341766774003665,
      0.0255558912921753,
      0,
      0.0686674287845876,
      0.0926113569401281,
      0.0421794806550285,
      0.089931545251598,
      0.186477293954725,
      0.422434377950113,
      0.101261174843548,
      0.11635142195674,
      0.128101027849844,
      0.24477401307097,
      0.194775012225223,
      0.16823980647987,
      0.287020298594204,
      0.256186320842177,
      0.21067563247096,
      0.216221907645113,
      0.304403969702012,
      0.120609069194204,
      0,
      0.14429810691422,
      0.31802754116775,
      0.172339491313131,
      0.127938016444592,
      0.330352398372886,
      0.261927724093776,
      0.100578360544292,
      0.137355113187264,
      0.276581334066972,
      0.19827990759375,
      0.104072846986889,
      0.20266350955908,
      0.297234185461265,
      0.126431142719883,
      0.0313362245343973,
      0.24814295894576,
      0.368242153207965,
      0,
      0.0668680752351217,
      0.2344726519249,
      0.224871904723928,
      0.152046586914469,
      0.0922232340220923,
      0.334263280192656,
      0.299453228981361,
      0.045333942545526,
      0.151196932378133,
      0.27381695506088,
      0.0745838380402495,
      0.117973804743934,
      0.257292098470026,
      0.157596306180147,
      0.123189199829887,
      0.12605712498378,
      0.21456904949199,
      0.108613891716892,
      0.125236534759118,
      0.083788935726795,
      0.341117769514224,
      0.25423975524643,
      0.239728288393578,
      0.120557845772049,
      0.116261476045615,
      0.309879848040482,
      0.124823563624247,
      0.120643275635948,
      0.293607592407111,
      0.235313989392411,
      0.220210793520541,
      0.185849634848351,
      0.323141656420853,
      0.126620308191691,
      0.119724994491691,
      0.281777815230767,
      0.287716279940645,
      0.103815725229572,
      0.128004031286606,
      0.341709671948948,
      0.247358799658218,
      0.24412025905866,
      0.130885522408925,
      0.296759580555224,
      0.303609037035182,
      0.170176119130922,
      0.173492087211187,
      0.259318248236222,
      0.252037609667071,
      0,
      0.196705583285203,
      0.250652872753316,
      0.141290096116372,
      0.0789213950984672,
      0.225141003882187,
      0.315075427937816,
      0.0817276809466618,
      0.0914420554847573,
      0.0719066797172525,
      0.0631155548337824,
      0.0321983662694253,
      0.0153254223910342,
      0.0627437912612145,
      0.0810229481045461,
      0.0578849793313286,
      0,
      0.0547582089972228,
      0.082919703058239,
      0.0879923892668317,
      0.0163278618138021,
      0,
      0,
      0.0572342757780989
    ],
    "fft_spectrum_256": [
      0,
      0.3533,
      0.329,
      0.2834,
      0.2958,
      0.2353,
      0.2618,
      0.284,
      0.3316,
      0.3105,
      0.3023,
      0.297,
      0.2597,
      0.3289,
      0.3339,
      0.3265,
      0.3602,
      0.451,
      0.4534,
      0.7202,
      0.4888,
      0.4898,
      0.4571,
      0.6945,
      0.6871,
      0.5567,
      0.5907,
      0.5599,
      0.6029,
      0.6158,
      0.4971,
      0.6244,
      0.7492,
      0.7503,
      0.4712,
      0.5104,
      0.6804,
      0.484,
      0.5096,
      0.4819,
      0.5264,
      0.4971,
      0.6545,
      0.5374,
      0.6212,
      0.5668,
      0.7303,
      0.5345,
      0.524,
      0.5486,
      0.5566,
      0.4292,
      0.4023,
      0.3898,
      0.4553,
      0.4234,
      0.7206,
      0.4635,
      0.4461,
      0.6152,
      0.7028,
      0.5814,
      0.6264,
      0.6251,
      0.601,
      0.4498,
      0.5049,
      0.5066,
      0.724,
      0.4394,
      0.4579,
      0.4739,
      0.7246,
      0.6922,
      0.5604,
      0.6216,
      0.566,
      0.6187,
      0.6096,
      0.4361,
      0.6224,
      0.6029,
      0.4838,
      0.4881,
      0.4073,
      0.5087,
      0.4336,
      0.5219,
      0.4593,
      0.5411,
      0.4533,
      0.6646,
      0.5328,
      0.7065,
      0.7256,
      0.5631,
      0.5327,
      0.53,
      0.5756,
      0.5521,
      0.4621,
      0.4746,
      0.4914,
      0.4985,
      0.4061,
      0.5027,
      0.4836,
      0.4516,
      0.6059,
      0.6043,
      0.5224,
      0.6073,
      0.6295,
      0.5823,
      0.6163,
      0.5104,
      0.4498,
      0.7232,
      0.3901,
      0.4701,
      0.4871,
      0.7254,
      0.685,
      0.4295,
      0.6068,
      0.5696,
      0.6055,
      0.6391,
      0.4751,
      0.6198,
      0.7402,
      0.7433,
      0.4207,
      0.4392,
      0.6803,
      0.4282,
      0.5092,
      0.3657,
      0.5111,
      0.4573,
      0.6623,
      0.5269,
      0.6155,
      0.5756,
      0.7452,
      0.5146,
      0.4824,
      0.5776,
      0.5953,
      0.5155,
      0.5057,
      0.4171,
      0.4269,
      0.4339,
      0.7244,
      0.4016,
      0.4951,
      0.6044,
      0.7277,
      0.5954,
      0.6231,
      0.6296,
      0.5715,
      0.4338,
      0.4821,
      0.4024,
      0.7265,
      0.4761,
      0.5001,
      0.4989,
      0.7245,
      0.6627,
      0.4282,
      0.6458,
      0.5527,
      0.6039,
      0.6356,
      0.4575,
      0.624,
      0.6037,
      0.474,
      0.3833,
      0.3916,
      0.4558,
      0.4737,
      0.5279,
      0.4208,
      0.5403,
      0.4562,
      0.6737,
      0.5326,
      0.7171,
      0.7227,
      0.7353,
      0.5524,
      0.5826,
      0.5709,
      0.5883,
      0.4913,
      0.4823,
      0.4729,
      0.5035,
      0.3877,
      0.4921,
      0.4602,
      0.4652,
      0.6226,
      0.5889,
      0.5324,
      0.613,
      0.5626,
      0.5758,
      0.6151,
      0.5141,
      0.3165,
      0.3768,
      0.4926,
      0.4118,
      0.5062,
      0.4856,
      0.4662,
      0.493,
      0.6139,
      0.4863,
      0.6458,
      0.6161,
      0.4685,
      0.6234,
      0.6038,
      0.4908,
      0.3884,
      0.3262,
      0.7194,
      0.3996,
      0.5624,
      0.4578,
      0.5206,
      0.4844,
      0.6734,
      0.5501,
      0.6261,
      0.5766,
      0.7442,
      0.5314,
      0.6116,
      0.583,
      0.6675,
      0.433,
      0.4709,
      0.4263,
      0.5188,
      0.3922,
      0.5233,
      0.4265,
      0.4268,
      0.6195,
      0.6094,
      0.5471,
      0.6033,
      0.6478,
      0.5478,
      0.6255,
      0.4805,
      0.4586,
      0.6979,
      0.7139,
      0.4552,
      0.552,
      0.7147,
      0.4936,
      0.5,
      0.6236,
      0.6233,
      0.5711,
      0.6318,
      0.475,
      0.611,
      0.6281,
      0.4447,
      0.2955,
      0.2653,
      0.2508,
      0.2864,
      0.2822,
      0.3219,
      0.3324,
      0.3364,
      0.2745,
      0.2885,
      0.3577,
      0.3104,
      0.2935,
      0.2147,
      0.2555,
      0.3545,
      0.1974,
      0.1565,
      0.1082,
      0.0198,
      0,
      0,
      0.5298,
      0.4924,
      0.4957,
      0.4358,
      0.4769,
      0.4142,
      0.403,
      0.4346,
      0.5017,
      0.4432,
      0.4001,
      0.4269,
      0.3896,
      0.374,
      0.4079,
      0.4436,
      0.5752,
      0.8822,
      0.8598,
      0.8627,
      0.893,
      0.8502,
      0.9953,
      0.9884,
      0.8329,
      0.8371,
      0.7566,
      0.7248,
      0.8404,
      0.7166,
      0.8501,
      0.9188,
      0.9361,
      0.8875,
      0.8139,
      0.9945,
      0.8764,
      0.8385,
      0.8707,
      0.8978,
      0.8296,
      0.8169,
      0.7758,
      0.8516,
      0.7446,
      0.9741,
      0.7709,
      0.7685,
      0.7295,
      0.9234,
      0.8633,
      0.8821,
      0.6947,
      0.8957,
      0.9007,
      0.8578,
      0.8891,
      0.8848,
      0.8422,
      0.9893,
      0.8238,
      0.8567,
      0.8415,
      0.7944,
      0.7679,
      0.8928,
      0.8868,
      0.8627,
      0.8507,
      0.8862,
      0.8482,
      0.9778,
      0.9882,
      0.8285,
      0.849,
      0.7403,
      0.7266,
      0.833,
      0.6912,
      0.8454,
      0.8306,
      0.8773,
      0.8903,
      0.8257,
      0.8589,
      0.8555,
      0.8155,
      0.8615,
      0.8947,
      0.8194,
      0.7952,
      0.7773,
      0.8693,
      0.9287,
      0.7942,
      0.7765,
      0.7638,
      0.7375,
      0.9195,
      0.8724,
      0.8584,
      0.6873,
      0.8805,
      0.916,
      0.6935,
      0.8833,
      0.882,
      0.8451,
      0.8116,
      0.7778,
      0.8466,
      0.8259,
      0.8163,
      0.8453,
      0.8926,
      0.8788,
      0.8638,
      0.8371,
      0.8965,
      0.8451,
      0.976,
      0.9803,
      0.8446,
      0.8321,
      0.7395,
      0.716,
      0.8555,
      0.7192,
      0.843,
      0.8565,
      0.9384,
      0.8885,
      0.8245,
      0.9918,
      0.8849,
      0.828,
      0.8744,
      0.8846,
      0.8171,
      0.811,
      0.7788,
      0.8448,
      0.7458,
      0.9377,
      0.7664,
      0.768,
      0.7517,
      0.9061,
      0.8763,
      0.8845,
      0.6608,
      0.9046,
      0.8974,
      0.8633,
      0.8876,
      0.8755,
      0.8386,
      0.9808,
      0.8253,
      0.8625,
      0.8462,
      0.7935,
      0.7746,
      0.8819,
      0.8769,
      0.8682,
      0.8429,
      0.8922,
      0.8437,
      0.9792,
      0.9799,
      0.8548,
      0.8663,
      0.8937,
      0.707,
      0.8505,
      0.6994,
      0.8471,
      0.8307,
      0.8825,
      0.8926,
      0.8241,
      0.8567,
      0.8516,
      0.8125,
      0.8734,
      0.8896,
      0.8338,
      0.7983,
      0.7756,
      0.8733,
      0.9328,
      0.937,
      0.7802,
      0.764,
      0.7452,
      0.9021,
      0.8792,
      0.8689,
      0.6788,
      0.8814,
      0.915,
      0.6982,
      0.8855,
      0.8843,
      0.8476,
      0.8058,
      0.776,
      0.8446,
      0.8145,
      0.8093,
      0.8445,
      0.8912,
      0.9097,
      0.8901,
      0.8451,
      0.8932,
      0.8644,
      0.8719,
      0.8899,
      0.8788,
      0.8509,
      0.7473,
      0.8743,
      0.8467,
      0.6916,
      0.8487,
      0.8422,
      0.8716,
      0.8665,
      0.8126,
      0.9825,
      0.8851,
      0.8234,
      0.8762,
      0.8932,
      0.8415,
      0.8047,
      0.7822,
      0.8452,
      0.7427,
      0.9436,
      0.7717,
      0.7773,
      0.7519,
      0.9793,
      0.8795,
      0.8631,
      0.6726,
      0.8776,
      0.9123,
      0.7009,
      0.8827,
      0.8772,
      0.8452,
      0.8052,
      0.7745,
      0.845,
      0.8626,
      0.7812,
      0.8431,
      0.8809,
      0.8861,
      0.8746,
      0.8764,
      0.8809,
      0.8713,
      0.9812,
      0.8768,
      0.8684,
      0.8471,
      0.8794,
      0.8117,
      0.845,
      0.7162,
      0.8361,
      0.8458,
      0.877,
      0.4573,
      0.4653,
      0.3088,
      0.4202,
      0.4509,
      0.4815,
      0.4013,
      0.4613,
      0.4101,
      0.5093,
      0.4543,
      0.4472,
      0.3759,
      0.5086,
      0.4157,
      0.5348,
      0.2583,
      0.2718,
      0.2154,
      0.0115,
      0,
      0,
      0.6718,
      0.5142,
      0.6099,
      0.4769,
      0.4786,
      0.3668,
      0.3037,
      0.522,
      0.5302,
      0.5527,
      0.5856,
      0.5733,
      0.5787,
      0.579,
      0.5686,
      0.5904,
      0.5712,
      0.7481,
      0.5997,
      0.7244,
      0.7605,
      0.7234,
      0.8798,
      0.8813,
      0.6209,
      0.6615,
      0.8404,
      0.5328,
      0.6766,
      0.5479,
      0.4976,
      0.5855,
      0.6162,
      0.7589,
      0.6881,
      0.8865,
      0.7411,
      0.7147,
      0.7412,
      0.8389,
      0.6543,
      0.4416,
      0.5702,
      0.6137,
      0.4955,
      0.6975,
      0.4864,
      0.6107,
      0.5287,
      0.9232,
      0.7528,
      0.7511,
      0.5639,
      0.7762,
      0.7672,
      0.5284,
      0.7512,
      0.5806,
      0.5403,
      0.8858,
      0.653,
      0.6538,
      0.6025,
      0.8348,
      0.6162,
      0.5933,
      0.7561,
      0.6129,
      0.7169,
      0.7545,
      0.7189,
      0.7134,
      0.8891,
      0.5545,
      0.6306,
      0.8368,
      0.4795,
      0.6848,
      0.5244,
      0.4882,
      0.6701,
      0.5794,
      0.7628,
      0.7037,
      0.7171,
      0.713,
      0.6873,
      0.7377,
      0.8183,
      0.6364,
      0.5226,
      0.5305,
      0.745,
      0.7394,
      0.6014,
      0.5567,
      0.584,
      0.5202,
      0.9326,
      0.7666,
      0.8434,
      0.7933,
      0.7472,
      0.7826,
      0.5958,
      0.7462,
      0.5444,
      0.5663,
      0.6918,
      0.6524,
      0.6464,
      0.5987,
      0.5922,
      0.6655,
      0.6051,
      0.7374,
      0.6005,
      0.7008,
      0.7705,
      0.7242,
      0.7205,
      0.8921,
      0.551,
      0.6476,
      0.8196,
      0.4864,
      0.6915,
      0.5625,
      0.5221,
      0.5283,
      0.6269,
      0.7641,
      0.7061,
      0.8942,
      0.7534,
      0.7025,
      0.7441,
      0.8061,
      0.6373,
      0.5089,
      0.5592,
      0.5455,
      0.5667,
      0.6318,
      0.5006,
      0.5688,
      0.5643,
      0.9235,
      0.771,
      0.7573,
      0.6437,
      0.7832,
      0.7689,
      0.5237,
      0.7524,
      0.5334,
      0.5537,
      0.7522,
      0.606,
      0.6537,
      0.6074,
      0.8019,
      0.6109,
      0.602,
      0.7469,
      0.605,
      0.7114,
      0.7623,
      0.7243,
      0.7407,
      0.8948,
      0.557,
      0.7015,
      0.9212,
      0.4869,
      0.7282,
      0.5386,
      0.5186,
      0.6796,
      0.5857,
      0.7598,
      0.7043,
      0.7182,
      0.712,
      0.6791,
      0.7429,
      0.7936,
      0.6548,
      0.5122,
      0.4965,
      0.7451,
      0.7336,
      0.6645,
      0.522,
      0.5937,
      0.5555,
      0.9276,
      0.7728,
      0.8294,
      0.7583,
      0.7521,
      0.7891,
      0.6021,
      0.7541,
      0.5054,
      0.5667,
      0.6693,
      0.6442,
      0.6249,
      0.5985,
      0.6664,
      0.6722,
      0.6217,
      0.7765,
      0.7487,
      0.7034,
      0.7588,
      0.7163,
      0.7412,
      0.7602,
      0.6026,
      0.6792,
      0.6179,
      0.5475,
      0.7124,
      0.5241,
      0.3804,
      0.694,
      0.5938,
      0.7316,
      0.7047,
      0.7753,
      0.7511,
      0.6907,
      0.7527,
      0.7804,
      0.7569,
      0.4655,
      0.5813,
      0.5039,
      0.5559,
      0.6412,
      0.631,
      0.5877,
      0.5457,
      0.9095,
      0.7753,
      0.8161,
      0.7442,
      0.7429,
      0.784,
      0.6142,
      0.7506,
      0.5222,
      0.5105,
      0.6731,
      0.6488,
      0.6289,
      0.6194,
      0.588,
      0.6669,
      0.5633,
      0.7607,
      0.7707,
      0.7488,
      0.7553,
      0.7375,
      0.7676,
      0.7422,
      0.5336,
      0.6608,
      0.888,
      0.7459,
      0.7228,
      0.5428,
      0.539,
      0.6907,
      0.5601,
      0.5021,
      0.5099,
      0.3495,
      0.4899,
      0.4871,
      0.4949,
      0.5039,
      0.5038,
      0.3894,
      0.397,
      0.4463,
      0.43,
      0.3825,
      0.5332,
      0.4249,
      0.5221,
      0.0864,
      0.1053,
      0.1429,
      0,
      0,
      0,
      0.7746,
      0.5991,
      0.5546,
      0.5533,
      0.5795,
      0.4622,
      0.5098,
      0.6273,
      0.6975,
      0.7281,
      0.7098,
      0.7432,
      0.7321,
      0.7547,
      0.7462,
      0.7655,
      0.5167,
      0.7369,
      0.6924,
      0.7575,
      0.7864,
      0.797,
      0.7635,
      0.7808,
      0.6827,
      0.7173,
      0.8671,
      0.4853,
      0.5139,
      0.456,
      0.6067,
      0.4678,
      0.5678,
      0.6149,
      0.5639,
      0.7827,
      0.7781,
      0.7347,
      0.7235,
      0.8548,
      0.7159,
      0.6506,
      0.6892,
      0.7405,
      0.6578,
      0.6442,
      0.6441,
      0.7484,
      0.6536,
      0.9071,
      0.6311,
      0.6457,
      0.5822,
      0.6276,
      0.6577,
      0.5285,
      0.575,
      0.6307,
      0.6864,
      0.7877,
      0.699,
      0.6862,
      0.7097,
      0.8574,
      0.6628,
      0.5661,
      0.7442,
      0.6954,
      0.7865,
      0.7734,
      0.7995,
      0.6753,
      0.7917,
      0.7335,
      0.7291,
      0.8591,
      0.4325,
      0.5248,
      0.5968,
      0.599,
      0.58,
      0.6148,
      0.6014,
      0.5853,
      0.7057,
      0.7675,
      0.7186,
      0.7442,
      0.8449,
      0.6539,
      0.6536,
      0.6875,
      0.7248,
      0.7073,
      0.6874,
      0.7091,
      0.7393,
      0.6516,
      0.9128,
      0.6412,
      0.8494,
      0.8301,
      0.5426,
      0.664,
      0.5199,
      0.565,
      0.6269,
      0.6858,
      0.6708,
      0.6527,
      0.6803,
      0.703,
      0.7017,
      0.7021,
      0.5534,
      0.7462,
      0.6875,
      0.7699,
      0.7921,
      0.7963,
      0.6758,
      0.8047,
      0.7364,
      0.6985,
      0.8526,
      0.4625,
      0.6,
      0.4995,
      0.5983,
      0.4729,
      0.5299,
      0.5935,
      0.5856,
      0.8109,
      0.7682,
      0.7345,
      0.7361,
      0.83,
      0.652,
      0.6446,
      0.6871,
      0.7065,
      0.6756,
      0.586,
      0.6291,
      0.7374,
      0.6457,
      0.9045,
      0.6662,
      0.6901,
      0.7159,
      0.6282,
      0.6502,
      0.4177,
      0.5756,
      0.6397,
      0.6759,
      0.6107,
      0.7107,
      0.661,
      0.7085,
      0.8308,
      0.6643,
      0.5915,
      0.7382,
      0.6842,
      0.7844,
      0.7899,
      0.7988,
      0.6748,
      0.8156,
      0.7429,
      0.7078,
      0.9085,
      0.4461,
      0.5946,
      0.5086,
      0.5886,
      0.5307,
      0.6314,
      0.5823,
      0.6031,
      0.7139,
      0.7757,
      0.7255,
      0.7489,
      0.8305,
      0.6496,
      0.6526,
      0.6852,
      0.7189,
      0.7041,
      0.5792,
      0.6995,
      0.7465,
      0.6452,
      0.9111,
      0.6261,
      0.8346,
      0.8067,
      0.5127,
      0.6714,
      0.5474,
      0.5507,
      0.614,
      0.6889,
      0.6574,
      0.6349,
      0.6504,
      0.695,
      0.6995,
      0.7031,
      0.5268,
      0.7642,
      0.7864,
      0.7887,
      0.7856,
      0.8011,
      0.8233,
      0.6839,
      0.7494,
      0.7153,
      0.6888,
      0.5681,
      0.5783,
      0.4069,
      0.5841,
      0.6016,
      0.6511,
      0.5101,
      0.5925,
      0.6416,
      0.768,
      0.7398,
      0.7352,
      0.8211,
      0.8013,
      0.6434,
      0.6928,
      0.7061,
      0.6636,
      0.5846,
      0.65,
      0.7616,
      0.6392,
      0.8477,
      0.6236,
      0.8205,
      0.7898,
      0.5239,
      0.6678,
      0.5697,
      0.5496,
      0.62,
      0.6919,
      0.6679,
      0.6563,
      0.647,
      0.7343,
      0.6719,
      0.707,
      0.4667,
      0.7435,
      0.8034,
      0.796,
      0.7799,
      0.8054,
      0.6643,
      0.7287,
      0.7501,
      0.6926,
      0.8516,
      0.7992,
      0.6285,
      0.509,
      0.6906,
      0.5278,
      0.6319,
      0.5399,
      0.5247,
      0.438,
      0.4915,
      0.4663,
      0.5071,
      0.5375,
      0.4886,
      0.5147,
      0.4049,
      0.5115,
      0.3679,
      0.3751,
      0.4684,
      0.4041,
      0.5136,
      0.122,
      0.1376,
      0.0597,
      0,
      0,
      0,
      0.6704,
      0.6211,
      0.6333,
      0.4653,
      0.4721,
      0.4211,
      0.4581,
      0.6229,
      0.6598,
      0.6735,
      0.6309,
      0.6461,
      0.6112,
      0.6673,
      0.6604,
      0.6648,
      0.5386,
      0.4943,
      0.4098,
      0.5506,
      0.6142,
      0.4993,
      0.7066,
      0.7332,
      0.7158,
      0.7078,
      0.8516,
      0.5382,
      0.4843,
      0.407,
      0.5455,
      0.471,
      0.5713,
      0.563,
      0.5485,
      0.7318,
      0.8785,
      0.5667,
      0.5539,
      0.8555,
      0.8081,
      0.6105,
      0.6048,
      0.6407,
      0.547,
      0.5571,
      0.5584,
      0.66,
      0.7211,
      0.8809,
      0.575,
      0.5932,
      0.5991,
      0.5993,
      0.5694,
      0.5414,
      0.7468,
      0.6379,
      0.6192,
      0.7235,
      0.6317,
      0.6005,
      0.6272,
      0.8505,
      0.6074,
      0.5959,
      0.4957,
      0.4063,
      0.5606,
      0.5236,
      0.5118,
      0.5502,
      0.7504,
      0.7095,
      0.7189,
      0.8509,
      0.5259,
      0.4949,
      0.6003,
      0.5132,
      0.6109,
      0.7664,
      0.5471,
      0.5413,
      0.6832,
      0.6906,
      0.4949,
      0.6555,
      0.8431,
      0.6592,
      0.6155,
      0.6156,
      0.6872,
      0.6558,
      0.5545,
      0.8181,
      0.645,
      0.5909,
      0.893,
      0.5595,
      0.8279,
      0.8226,
      0.4658,
      0.5129,
      0.5339,
      0.5429,
      0.6129,
      0.6273,
      0.7795,
      0.704,
      0.558,
      0.6674,
      0.6911,
      0.652,
      0.5569,
      0.4804,
      0.4015,
      0.5621,
      0.5691,
      0.5075,
      0.5576,
      0.766,
      0.6628,
      0.71,
      0.8405,
      0.4952,
      0.5091,
      0.5488,
      0.5492,
      0.4957,
      0.5148,
      0.5081,
      0.5311,
      0.771,
      0.5504,
      0.5291,
      0.5899,
      0.8273,
      0.6567,
      0.6115,
      0.6179,
      0.6172,
      0.5308,
      0.4973,
      0.5442,
      0.6563,
      0.6129,
      0.879,
      0.634,
      0.5636,
      0.6892,
      0.655,
      0.5362,
      0.4056,
      0.5463,
      0.6116,
      0.5969,
      0.5666,
      0.6442,
      0.6334,
      0.6315,
      0.8299,
      0.604,
      0.621,
      0.5041,
      0.4026,
      0.5306,
      0.5088,
      0.4716,
      0.5653,
      0.7725,
      0.6702,
      0.7475,
      0.8839,
      0.495,
      0.5785,
      0.518,
      0.5676,
      0.5425,
      0.6266,
      0.5259,
      0.543,
      0.6964,
      0.6884,
      0.4968,
      0.6191,
      0.8191,
      0.6665,
      0.6243,
      0.6111,
      0.6797,
      0.6667,
      0.4887,
      0.8095,
      0.6098,
      0.5938,
      0.8962,
      0.5716,
      0.8117,
      0.8062,
      0.508,
      0.5972,
      0.5341,
      0.5936,
      0.6192,
      0.6324,
      0.7671,
      0.6969,
      0.5415,
      0.6518,
      0.6982,
      0.6563,
      0.5594,
      0.4258,
      0.4665,
      0.7995,
      0.778,
      0.6063,
      0.7499,
      0.6972,
      0.8196,
      0.8679,
      0.8949,
      0.6142,
      0.7479,
      0.5904,
      0.8037,
      0.7265,
      0.7502,
      0.5924,
      0.5923,
      0.5703,
      0.4818,
      0.4954,
      0.5976,
      0.8144,
      0.8235,
      0.615,
      0.6256,
      0.607,
      0.5565,
      0.4905,
      0.5388,
      0.6404,
      0.6144,
      0.8094,
      0.5658,
      0.8005,
      0.7932,
      0.4864,
      0.5877,
      0.5749,
      0.5582,
      0.6337,
      0.6303,
      0.7639,
      0.7027,
      0.5695,
      0.6308,
      0.6453,
      0.6279,
      0.6436,
      0.519,
      0.6944,
      0.63,
      0.4582,
      0.492,
      0.6265,
      0.6999,
      0.679,
      0.714,
      0.7972,
      0.7879,
      0.6226,
      0.4632,
      0.6429,
      0.5887,
      0.5861,
      0.5784,
      0.5531,
      0.4122,
      0.5457,
      0.5144,
      0.5665,
      0.5732,
      0.4659,
      0.6361,
      0.4652,
      0.5992,
      0.3593,
      0.5074,
      0.4647,
      0.4555,
      0.4979,
      0.2438,
      0.1815,
      0.0081,
      0,
      0,
      0,
      0.7553,
      0.65,
      0.6425,
      0.5842,
      0.5594,
      0.6131,
      0.5765,
      0.5015,
      0.6135,
      0.6067,
      0.5789,
      0.5827,
      0.5857,
      0.5853,
      0.5173,
      0.6109,
      0.6181,
      0.7267,
      0.6671,
      0.7197,
      0.7556,
      0.7223,
      0.6463,
      0.6353,
      0.7341,
      0.6625,
      0.8105,
      0.5867,
      0.4767,
      0.5624,
      0.4697,
      0.4461,
      0.5555,
      0.6504,
      0.7513,
      0.6849,
      0.7227,
      0.7046,
      0.7161,
      0.8163,
      0.6561,
      0.5174,
      0.4046,
      0.5864,
      0.4854,
      0.5857,
      0.5277,
      0.7176,
      0.5787,
      0.8329,
      0.6111,
      0.6343,
      0.7777,
      0.5897,
      0.7952,
      0.5661,
      0.931,
      0.6521,
      0.5403,
      0.6564,
      0.5581,
      0.6148,
      0.5792,
      0.7978,
      0.53,
      0.7081,
      0.719,
      0.6554,
      0.7287,
      0.6935,
      0.7324,
      0.5674,
      0.6531,
      0.8608,
      0.6642,
      0.8128,
      0.5025,
      0.4828,
      0.568,
      0.4869,
      0.5801,
      0.7743,
      0.7206,
      0.6758,
      0.7518,
      0.6486,
      0.6895,
      0.6953,
      0.7809,
      0.6808,
      0.4976,
      0.5796,
      0.6975,
      0.6433,
      0.5281,
      0.7415,
      0.6512,
      0.6207,
      0.8356,
      0.6259,
      0.7816,
      0.803,
      0.5275,
      0.5618,
      0.568,
      0.4924,
      0.6766,
      0.6047,
      0.7288,
      0.7274,
      0.5508,
      0.7094,
      0.6741,
      0.6115,
      0.7118,
      0.7131,
      0.6575,
      0.715,
      0.7224,
      0.7292,
      0.5849,
      0.6908,
      0.7043,
      0.6732,
      0.801,
      0.5199,
      0.5089,
      0.5777,
      0.8457,
      0.4841,
      0.4549,
      0.6568,
      0.6602,
      0.7207,
      0.738,
      0.6977,
      0.7002,
      0.7745,
      0.4504,
      0.5474,
      0.4689,
      0.5445,
      0.4946,
      0.5369,
      0.5017,
      0.6469,
      0.6045,
      0.8319,
      0.6543,
      0.583,
      0.7801,
      0.6155,
      0.803,
      0.5515,
      0.4871,
      0.6484,
      0.5885,
      0.4756,
      0.5902,
      0.7057,
      0.5212,
      0.7876,
      0.5726,
      0.6158,
      0.7087,
      0.6486,
      0.7354,
      0.7282,
      0.7351,
      0.5946,
      0.6667,
      0.6507,
      0.687,
      0.8354,
      0.5103,
      0.596,
      0.8816,
      0.7977,
      0.5856,
      0.7886,
      0.6697,
      0.6964,
      0.7628,
      0.6468,
      0.6858,
      0.741,
      0.7633,
      0.6619,
      0.474,
      0.5734,
      0.6962,
      0.6262,
      0.5363,
      0.7232,
      0.6119,
      0.6355,
      0.8451,
      0.6239,
      0.7641,
      0.788,
      0.5225,
      0.5935,
      0.6051,
      0.4303,
      0.6771,
      0.5749,
      0.7307,
      0.7347,
      0.594,
      0.7044,
      0.7248,
      0.571,
      0.704,
      0.7483,
      0.757,
      0.7421,
      0.7308,
      0.7004,
      0.7142,
      0.6242,
      0.6294,
      0.7021,
      0.6755,
      0.4863,
      0.55,
      0.7125,
      0.612,
      0.8276,
      0.6519,
      0.7115,
      0.6736,
      0.5784,
      0.675,
      0.7026,
      0.7586,
      0.7639,
      0.7717,
      0.5407,
      0.5252,
      0.5824,
      0.5525,
      0.356,
      0.558,
      0.5962,
      0.5957,
      0.7495,
      0.6601,
      0.7686,
      0.7618,
      0.572,
      0.5932,
      0.6072,
      0.4582,
      0.6713,
      0.5774,
      0.7261,
      0.7138,
      0.6058,
      0.7119,
      0.6093,
      0.5447,
      0.7451,
      0.7153,
      0.7489,
      0.7224,
      0.7117,
      0.7339,
      0.5796,
      0.6457,
      0.6672,
      0.68,
      0.8096,
      0.7691,
      0.5884,
      0.5763,
      0.6222,
      0.682,
      0.6345,
      0.5536,
      0.5282,
      0.4043,
      0.4939,
      0.381,
      0.4769,
      0.534,
      0.5298,
      0.5232,
      0.4159,
      0.5167,
      0.3911,
      0.4283,
      0.453,
      0.4298,
      0.5311,
      0.2829,
      0.016,
      0,
      0,
      0,
      0,
      0.673,
      0.611,
      0.5869,
      0.4319,
      0.4353,
      0.413,
      0.3744,
      0.4433,
      0.5471,
      0.5669,
      0.6502,
      0.5483,
      0.6815,
      0.5944,
      0.7392,
      0.6034,
      0.682,
      0.5318,
      0.6479,
      0.5948,
      0.5544,
      0.6635,
      0.5916,
      0.6363,
      0.7738,
      0.6878,
      0.7815,
      0.8784,
      0.5793,
      0.6496,
      0.6878,
      0.792,
      0.5861,
      0.7384,
      0.9053,
      0.6586,
      0.4876,
      0.8005,
      0.6798,
      0.7891,
      0.6096,
      0.8133,
      0.6346,
      0.6338,
      0.6106,
      0.6761,
      0.5672,
      0.8885,
      0.6299,
      0.7213,
      0.5618,
      0.6886,
      0.7859,
      0.6739,
      0.8541,
      0.661,
      0.6922,
      0.6511,
      0.6505,
      0.6172,
      0.6794,
      0.6302,
      0.7217,
      0.7723,
      0.6659,
      0.6668,
      0.6699,
      0.6936,
      0.7213,
      0.5972,
      0.6801,
      0.4334,
      0.6806,
      0.5698,
      0.7673,
      0.7726,
      0.7796,
      0.5299,
      0.6061,
      0.7722,
      0.8883,
      0.5693,
      0.6035,
      0.7784,
      0.6754,
      0.622,
      0.439,
      0.5789,
      0.8077,
      0.6087,
      0.6095,
      0.7065,
      0.7485,
      0.7725,
      0.6121,
      0.7529,
      0.7575,
      0.6741,
      0.7301,
      0.7012,
      0.7905,
      0.759,
      0.7403,
      0.6979,
      0.7905,
      0.6432,
      0.6354,
      0.7804,
      0.7076,
      0.6965,
      0.7164,
      0.6135,
      0.7443,
      0.7655,
      0.6686,
      0.7786,
      0.7877,
      0.6955,
      0.5856,
      0.8782,
      0.7856,
      0.8391,
      0.7974,
      0.6833,
      0.8763,
      0.7127,
      0.6674,
      0.7463,
      0.8332,
      0.5878,
      0.7637,
      0.5661,
      0.4472,
      0.6522,
      0.8054,
      0.5318,
      0.8399,
      0.7838,
      0.5643,
      0.8203,
      0.7118,
      0.6512,
      0.8492,
      0.8578,
      0.6005,
      0.6581,
      0.7523,
      0.8546,
      0.7197,
      0.681,
      0.7506,
      0.5828,
      0.8703,
      0.6656,
      0.5444,
      0.8403,
      0.7351,
      0.6434,
      0.7741,
      0.75,
      0.6672,
      0.7438,
      0.6684,
      0.6185,
      0.6651,
      0.6613,
      0.6284,
      0.514,
      0.7481,
      0.5995,
      0.5507,
      0.5608,
      0.7357,
      0.7942,
      0.7828,
      0.6907,
      0.8524,
      0.9103,
      0.904,
      0.5842,
      0.6455,
      0.7884,
      0.6089,
      0.6423,
      0.4944,
      0.6754,
      0.7945,
      0.6799,
      0.5998,
      0.7254,
      0.7304,
      0.7804,
      0.6245,
      0.7536,
      0.7654,
      0.6941,
      0.756,
      0.72,
      0.7718,
      0.7416,
      0.737,
      0.6435,
      0.7873,
      0.6524,
      0.6447,
      0.7927,
      0.7242,
      0.6866,
      0.5947,
      0.6407,
      0.7622,
      0.7693,
      0.7046,
      0.5352,
      0.4701,
      0.5135,
      0.5097,
      0.6013,
      0.5139,
      0.5834,
      0.5667,
      0.6379,
      0.6871,
      0.5703,
      0.5848,
      0.6031,
      0.5878,
      0.6055,
      0.4702,
      0.7684,
      0.6498,
      0.6805,
      0.4994,
      0.7077,
      0.7211,
      0.7349,
      0.7327,
      0.6037,
      0.6578,
      0.5992,
      0.657,
      0.6835,
      0.6724,
      0.6546,
      0.6391,
      0.6557,
      0.7136,
      0.7544,
      0.7625,
      0.7154,
      0.6283,
      0.7601,
      0.6079,
      0.5903,
      0.7489,
      0.7361,
      0.6997,
      0.6234,
      0.722,
      0.6968,
      0.772,
      0.6507,
      0.7269,
      0.7853,
      0.7355,
      0.6826,
      0.7562,
      0.6612,
      0.6994,
      0.725,
      0.7838,
      0.7948,
      0.6921,
      0.6172,
      0.5989,
      0.6301,
      0.6581,
      0.6679,
      0.6043,
      0.4158,
      0.3992,
      0.4562,
      0.4037,
      0.4367,
      0.4659,
      0.413,
      0.5379,
      0.3384,
      0.4677,
      0.3623,
      0.4503,
      0.4619,
      0.429,
      0.5135,
      0.2372,
      0.0346,
      0,
      0,
      0,
      0,
      0.6104,
      0.5494,
      0.5781,
      0.4831,
      0.4533,
      0.4524,
      0.4084,
      0.4588,
      0.6208,
      0.5269,
      0.6912,
      0.5725,
      0.6366,
      0.5861,
      0.6675,
      0.6087,
      0.6197,
      0.5814,
      0.6541,
      0.6395,
      0.5507,
      0.8144,
      0.6492,
      0.7571,
      0.7312,
      0.8282,
      0.7622,
      0.8661,
      0.5649,
      0.8695,
      0.8719,
      0.8484,
      0.5459,
      0.8128,
      0.6767,
      0.5352,
      0.4928,
      0.8413,
      0.7127,
      0.7633,
      0.6113,
      0.89,
      0.686,
      0.5956,
      0.6167,
      0.7751,
      0.5842,
      0.7485,
      0.5903,
      0.8112,
      0.7636,
      0.7615,
      0.5948,
      0.7561,
      0.6009,
      0.6981,
      0.515,
      0.6252,
      0.8904,
      0.7824,
      0.6387,
      0.64,
      0.5869,
      0.7998,
      0.7779,
      0.6156,
      0.7626,
      0.8082,
      0.8202,
      0.6453,
      0.6122,
      0.5003,
      0.6576,
      0.6896,
      0.8885,
      0.8193,
      0.77,
      0.8007,
      0.7338,
      0.8974,
      0.8918,
      0.5993,
      0.5276,
      0.8258,
      0.7085,
      0.6581,
      0.5546,
      0.574,
      0.7372,
      0.7021,
      0.5553,
      0.7129,
      0.7427,
      0.8089,
      0.616,
      0.7394,
      0.6806,
      0.6983,
      0.7779,
      0.7523,
      0.684,
      0.698,
      0.6953,
      0.5323,
      0.7365,
      0.7064,
      0.6714,
      0.6268,
      0.684,
      0.6569,
      0.6737,
      0.5763,
      0.7163,
      0.8372,
      0.7138,
      0.8673,
      0.8525,
      0.7244,
      0.6233,
      0.6757,
      0.5155,
      0.8165,
      0.7805,
      0.8458,
      0.8019,
      0.7858,
      0.6635,
      0.6727,
      0.6413,
      0.5436,
      0.8405,
      0.824,
      0.5197,
      0.6985,
      0.6613,
      0.6299,
      0.6228,
      0.8087,
      0.6782,
      0.9104,
      0.7768,
      0.775,
      0.8147,
      0.6939,
      0.7522,
      0.8404,
      0.7992,
      0.9003,
      0.7875,
      0.8783,
      0.6543,
      0.5977,
      0.5901,
      0.6259,
      0.7526,
      0.8877,
      0.8902,
      0.5849,
      0.7851,
      0.7114,
      0.784,
      0.858,
      0.6223,
      0.643,
      0.9197,
      0.6765,
      0.6906,
      0.4971,
      0.8431,
      0.6956,
      0.7643,
      0.6992,
      0.7719,
      0.7983,
      0.8142,
      0.6669,
      0.7197,
      0.6898,
      0.9203,
      0.5832,
      0.5203,
      0.8247,
      0.7089,
      0.6615,
      0.5661,
      0.6251,
      0.725,
      0.6678,
      0.5666,
      0.7179,
      0.7581,
      0.8102,
      0.6312,
      0.7327,
      0.6862,
      0.6883,
      0.7801,
      0.7549,
      0.6732,
      0.7075,
      0.6968,
      0.604,
      0.7562,
      0.697,
      0.6868,
      0.6528,
      0.6895,
      0.7087,
      0.6745,
      0.5604,
      0.6496,
      0.8391,
      0.7418,
      0.5484,
      0.5298,
      0.5809,
      0.5962,
      0.6854,
      0.8438,
      0.6159,
      0.6935,
      0.6477,
      0.6678,
      0.5386,
      0.5787,
      0.5509,
      0.5366,
      0.6478,
      0.4938,
      0.8051,
      0.6183,
      0.6747,
      0.4865,
      0.6785,
      0.6424,
      0.7255,
      0.7155,
      0.6727,
      0.7406,
      0.7097,
      0.6335,
      0.7358,
      0.6496,
      0.6261,
      0.6334,
      0.6585,
      0.7457,
      0.6407,
      0.6637,
      0.6763,
      0.5873,
      0.7649,
      0.6835,
      0.6527,
      0.6663,
      0.6746,
      0.6636,
      0.6161,
      0.5555,
      0.5949,
      0.8407,
      0.6438,
      0.6552,
      0.7923,
      0.7781,
      0.7517,
      0.5184,
      0.642,
      0.7407,
      0.7395,
      0.7383,
      0.7917,
      0.6555,
      0.6424,
      0.6314,
      0.5869,
      0.551,
      0.6372,
      0.6702,
      0.4761,
      0.4245,
      0.4003,
      0.4784,
      0.5027,
      0.5475,
      0.3731,
      0.4932,
      0.3229,
      0.4634,
      0.3229,
      0.3108,
      0.4665,
      0.2956,
      0.509,
      0.102,
      0.048,
      0,
      0,
      0,
      0,
      0.6541,
      0.6512,
      0.6305,
      0.556,
      0.667,
      0.5195,
      0.5233,
      0.3978,
      0.5818,
      0.5787,
      0.5815,
      0.6106,
      0.6167,
      0.6331,
      0.603,
      0.6124,
      0.7898,
      0.664,
      0.6378,
      0.6627,
      0.7111,
      0.6705,
      0.6037,
      0.5526,
      0.6595,
      0.5668,
      0.7363,
      0.6667,
      0.5263,
      0.5069,
      0.5592,
      0.5232,
      0.5378,
      0.5413,
      0.5491,
      0.5323,
      0.7758,
      0.6842,
      0.6625,
      0.7622,
      0.6681,
      0.5819,
      0.5633,
      0.5806,
      0.4894,
      0.4425,
      0.4561,
      0.5586,
      0.7212,
      0.7965,
      0.8217,
      0.7617,
      0.5325,
      0.7482,
      0.5294,
      0.5917,
      0.4839,
      0.6034,
      0.6195,
      0.5919,
      0.6095,
      0.6448,
      0.6048,
      0.6981,
      0.5888,
      0.584,
      0.6226,
      0.6501,
      0.681,
      0.6927,
      0.6754,
      0.6178,
      0.5488,
      0.6353,
      0.6271,
      0.7437,
      0.5657,
      0.8284,
      0.5515,
      0.5208,
      0.5517,
      0.6274,
      0.5639,
      0.7576,
      0.6118,
      0.5247,
      0.5733,
      0.6708,
      0.7604,
      0.458,
      0.5507,
      0.5487,
      0.5877,
      0.6457,
      0.5482,
      0.7266,
      0.7084,
      0.6253,
      0.7629,
      0.6486,
      0.6233,
      0.6919,
      0.6514,
      0.4853,
      0.654,
      0.4952,
      0.6115,
      0.5758,
      0.6309,
      0.5847,
      0.6537,
      0.6021,
      0.6466,
      0.6323,
      0.5439,
      0.6499,
      0.7161,
      0.66,
      0.7079,
      0.667,
      0.6257,
      0.6097,
      0.6576,
      0.6073,
      0.7516,
      0.4309,
      0.5564,
      0.5392,
      0.6362,
      0.4322,
      0.451,
      0.5558,
      0.8251,
      0.5727,
      0.5423,
      0.6375,
      0.6146,
      0.7248,
      0.5017,
      0.6646,
      0.8061,
      0.5487,
      0.5027,
      0.4899,
      0.7104,
      0.5912,
      0.6016,
      0.7648,
      0.8101,
      0.807,
      0.6093,
      0.602,
      0.5457,
      0.5561,
      0.5236,
      0.636,
      0.7226,
      0.5621,
      0.6038,
      0.6947,
      0.582,
      0.7063,
      0.5706,
      0.5512,
      0.6752,
      0.6313,
      0.6854,
      0.7011,
      0.6914,
      0.8212,
      0.6464,
      0.6516,
      0.6102,
      0.7623,
      0.5083,
      0.6336,
      0.5796,
      0.5822,
      0.5102,
      0.5423,
      0.5275,
      0.7461,
      0.6371,
      0.5406,
      0.5915,
      0.632,
      0.7481,
      0.5303,
      0.564,
      0.5047,
      0.6087,
      0.6531,
      0.4433,
      0.7225,
      0.609,
      0.6169,
      0.7676,
      0.6408,
      0.601,
      0.6784,
      0.6531,
      0.5485,
      0.6477,
      0.4871,
      0.6337,
      0.5499,
      0.613,
      0.5869,
      0.5834,
      0.6181,
      0.6404,
      0.6038,
      0.5631,
      0.6795,
      0.6979,
      0.8188,
      0.7285,
      0.6991,
      0.8307,
      0.633,
      0.7243,
      0.8662,
      0.8418,
      0.603,
      0.7746,
      0.4879,
      0.6085,
      0.6359,
      0.5456,
      0.4959,
      0.7898,
      0.449,
      0.5689,
      0.6239,
      0.6169,
      0.7378,
      0.6912,
      0.5584,
      0.6313,
      0.5598,
      0.5116,
      0.492,
      0.5118,
      0.6721,
      0.5689,
      0.6565,
      0.6142,
      0.58,
      0.6646,
      0.6486,
      0.5512,
      0.6519,
      0.4383,
      0.6,
      0.5276,
      0.6455,
      0.6222,
      0.5914,
      0.6263,
      0.6049,
      0.6205,
      0.5855,
      0.6514,
      0.7171,
      0.6943,
      0.699,
      0.6854,
      0.6969,
      0.5675,
      0.6951,
      0.5605,
      0.7456,
      0.6309,
      0.5463,
      0.5242,
      0.6633,
      0.6213,
      0.5151,
      0.4987,
      0.5081,
      0.3721,
      0.4599,
      0.4702,
      0.5072,
      0.4954,
      0.5023,
      0.4858,
      0.3562,
      0.4462,
      0.3684,
      0.3018,
      0.48,
      0.3537,
      0.5594,
      0.112,
      0.0543,
      0,
      0,
      0,
      0,
      0.5957,
      0.6375,
      0.5577,
      0.4644,
      0.579,
      0.4262,
      0.6339,
      0.436,
      0.5828,
      0.8291,
      0.8301,
      0.7681,
      0.8018,
      0.8458,
      0.7953,
      0.8009,
      0.7262,
      0.5195,
      0.5048,
      0.5526,
      0.6202,
      0.5791,
      0.5403,
      0.5771,
      0.6939,
      0.6306,
      0.7745,
      0.7048,
      0.5926,
      0.6416,
      0.7764,
      0.5929,
      0.6109,
      0.622,
      0.4875,
      0.5457,
      0.8581,
      0.6257,
      0.5442,
      0.7282,
      0.6705,
      0.7038,
      0.7612,
      0.6935,
      0.6114,
      0.7254,
      0.7208,
      0.698,
      0.7471,
      0.7573,
      0.7828,
      0.7342,
      0.4966,
      0.6997,
      0.5292,
      0.5772,
      0.5827,
      0.5522,
      0.7975,
      0.6993,
      0.7133,
      0.7523,
      0.7961,
      0.7403,
      0.7268,
      0.6938,
      0.4521,
      0.504,
      0.5683,
      0.6548,
      0.6032,
      0.5036,
      0.5074,
      0.6599,
      0.642,
      0.7052,
      0.6466,
      0.7533,
      0.6756,
      0.7222,
      0.6434,
      0.8535,
      0.5013,
      0.6348,
      0.4823,
      0.4932,
      0.4389,
      0.64,
      0.7098,
      0.617,
      0.7256,
      0.7228,
      0.7011,
      0.736,
      0.7539,
      0.7317,
      0.7748,
      0.6641,
      0.7208,
      0.6159,
      0.6554,
      0.6966,
      0.6089,
      0.4836,
      0.585,
      0.4728,
      0.6513,
      0.7673,
      0.727,
      0.7315,
      0.7352,
      0.811,
      0.724,
      0.7411,
      0.6812,
      0.531,
      0.5864,
      0.5371,
      0.6258,
      0.5614,
      0.5161,
      0.5993,
      0.5948,
      0.6459,
      0.6814,
      0.6688,
      0.571,
      0.6234,
      0.8087,
      0.6308,
      0.5473,
      0.5986,
      0.6036,
      0.5531,
      0.4467,
      0.5363,
      0.4714,
      0.6888,
      0.6029,
      0.7427,
      0.7422,
      0.7597,
      0.6555,
      0.739,
      0.7069,
      0.7371,
      0.6429,
      0.7435,
      0.6409,
      0.6756,
      0.6155,
      0.5001,
      0.4711,
      0.5314,
      0.5406,
      0.6255,
      0.7737,
      0.7149,
      0.7254,
      0.7492,
      0.7918,
      0.743,
      0.7151,
      0.7291,
      0.5096,
      0.4867,
      0.5784,
      0.6439,
      0.5453,
      0.7674,
      0.5825,
      0.6216,
      0.7413,
      0.7498,
      0.6973,
      0.6264,
      0.6281,
      0.7628,
      0.6665,
      0.6913,
      0.5354,
      0.6192,
      0.5109,
      0.5226,
      0.4635,
      0.6037,
      0.6867,
      0.6125,
      0.6995,
      0.7506,
      0.6722,
      0.7328,
      0.7072,
      0.7284,
      0.7174,
      0.6659,
      0.7225,
      0.6326,
      0.6505,
      0.6856,
      0.5913,
      0.513,
      0.5335,
      0.4836,
      0.6735,
      0.7795,
      0.7496,
      0.7025,
      0.7451,
      0.7533,
      0.7202,
      0.7638,
      0.7437,
      0.5376,
      0.5461,
      0.6632,
      0.7403,
      0.5965,
      0.5313,
      0.6629,
      0.8643,
      0.7871,
      0.7791,
      0.7231,
      0.7743,
      0.7135,
      0.8777,
      0.7621,
      0.852,
      0.5339,
      0.6708,
      0.4432,
      0.5376,
      0.4771,
      0.4795,
      0.6964,
      0.6846,
      0.7325,
      0.7344,
      0.7563,
      0.6506,
      0.7212,
      0.6947,
      0.6891,
      0.622,
      0.6635,
      0.6123,
      0.6324,
      0.6752,
      0.6071,
      0.5074,
      0.5663,
      0.4837,
      0.6423,
      0.77,
      0.7126,
      0.706,
      0.7538,
      0.8146,
      0.7314,
      0.7288,
      0.6835,
      0.5591,
      0.7004,
      0.6748,
      0.6314,
      0.5855,
      0.6397,
      0.599,
      0.6133,
      0.6607,
      0.776,
      0.7142,
      0.6049,
      0.6781,
      0.7314,
      0.7501,
      0.6717,
      0.569,
      0.4783,
      0.3585,
      0.4501,
      0.4037,
      0.4548,
      0.5039,
      0.4439,
      0.4599,
      0.3359,
      0.493,
      0.4017,
      0.3754,
      0.505,
      0.3954,
      0.539,
      0.1551,
      0,
      0,
      0,
      0,
      0,
      0.6224,
      0.6066,
      0.6621,
      0.6434,
      0.6778,
      0.4887,
      0.6637,
      0.567,
      0.6793,
      0.5237,
      0.5812,
      0.5241,
      0.5926,
      0.5672,
      0.5543,
      0.6013,
      0.5707,
      0.5175,
      0.6478,
      0.6021,
      0.6806,
      0.5696,
      0.5361,
      0.4966,
      0.6271,
      0.5338,
      0.6508,
      0.5583,
      0.5616,
      0.5132,
      0.5326,
      0.3833,
      0.4713,
      0.4763,
      0.6673,
      0.5825,
      0.6709,
      0.7009,
      0.6457,
      0.6875,
      0.6803,
      0.5815,
      0.5633,
      0.5514,
      0.5384,
      0.3992,
      0.5225,
      0.5453,
      0.5899,
      0.7143,
      0.6891,
      0.6593,
      0.5788,
      0.6971,
      0.4984,
      0.6151,
      0.5617,
      0.672,
      0.5914,
      0.5083,
      0.5486,
      0.5968,
      0.5285,
      0.6056,
      0.5018,
      0.6903,
      0.54,
      0.6445,
      0.5726,
      0.627,
      0.4748,
      0.5592,
      0.5282,
      0.8235,
      0.5686,
      0.6165,
      0.484,
      0.4998,
      0.569,
      0.573,
      0.52,
      0.7441,
      0.4659,
      0.7389,
      0.6391,
      0.6905,
      0.5957,
      0.5866,
      0.6857,
      0.6695,
      0.6652,
      0.5498,
      0.5901,
      0.6696,
      0.492,
      0.7688,
      0.585,
      0.5535,
      0.687,
      0.6515,
      0.6132,
      0.6674,
      0.5493,
      0.5003,
      0.6315,
      0.5003,
      0.6822,
      0.5437,
      0.4454,
      0.4197,
      0.515,
      0.5479,
      0.5054,
      0.5267,
      0.6784,
      0.5384,
      0.6576,
      0.5468,
      0.5979,
      0.491,
      0.5272,
      0.5305,
      0.5661,
      0.5167,
      0.6187,
      0.5012,
      0.6188,
      0.5587,
      0.5108,
      0.3584,
      0.4136,
      0.4573,
      0.6484,
      0.5917,
      0.6709,
      0.6586,
      0.6204,
      0.6722,
      0.6566,
      0.5622,
      0.5313,
      0.4877,
      0.444,
      0.4839,
      0.5467,
      0.5091,
      0.6093,
      0.6568,
      0.5698,
      0.6367,
      0.6375,
      0.6038,
      0.4838,
      0.5722,
      0.5438,
      0.6962,
      0.5247,
      0.5185,
      0.5631,
      0.7312,
      0.5185,
      0.6009,
      0.5051,
      0.5948,
      0.5563,
      0.6376,
      0.6355,
      0.6856,
      0.5277,
      0.6248,
      0.5225,
      0.6018,
      0.6568,
      0.6331,
      0.4909,
      0.616,
      0.5195,
      0.5254,
      0.4172,
      0.7215,
      0.5358,
      0.7394,
      0.631,
      0.6887,
      0.5827,
      0.6118,
      0.6814,
      0.7082,
      0.6768,
      0.5902,
      0.6,
      0.6657,
      0.4568,
      0.7651,
      0.5422,
      0.5359,
      0.6904,
      0.6373,
      0.5946,
      0.6652,
      0.5477,
      0.5414,
      0.6143,
      0.5589,
      0.6748,
      0.5646,
      0.4307,
      0.4932,
      0.5173,
      0.5873,
      0.5459,
      0.5403,
      0.6673,
      0.5653,
      0.6881,
      0.6253,
      0.6426,
      0.6492,
      0.6309,
      0.5708,
      0.6142,
      0.5964,
      0.5319,
      0.4535,
      0.5107,
      0.7738,
      0.6795,
      0.6879,
      0.5582,
      0.6891,
      0.6819,
      0.6074,
      0.7134,
      0.6448,
      0.6272,
      0.6702,
      0.7541,
      0.5507,
      0.4996,
      0.5416,
      0.6258,
      0.4808,
      0.5637,
      0.6773,
      0.6733,
      0.5743,
      0.6402,
      0.5817,
      0.6556,
      0.5344,
      0.5087,
      0.6325,
      0.521,
      0.6489,
      0.5562,
      0.486,
      0.5571,
      0.5427,
      0.6035,
      0.5043,
      0.5419,
      0.6828,
      0.552,
      0.6655,
      0.6517,
      0.6051,
      0.4815,
      0.6064,
      0.5072,
      0.6861,
      0.539,
      0.6559,
      0.5978,
      0.5131,
      0.5228,
      0.6747,
      0.7009,
      0.5853,
      0.4944,
      0.4495,
      0.3967,
      0.4751,
      0.4086,
      0.4813,
      0.5208,
      0.3541,
      0.4398,
      0.3972,
      0.4728,
      0.3058,
      0.3562,
      0.4958,
      0.2947,
      0.5758,
      0.1421,
      0,
      0,
      0,
      0,
      0,
      0.5908,
      0.5786,
      0.5689,
      0.4126,
      0.5014,
      0.3517,
      0.6101,
      0.4184,
      0.6105,
      0.7328,
      0.5257,
      0.6494,
      0.6354,
      0.6998,
      0.5209,
      0.6861,
      0.6761,
      0.3933,
      0.429,
      0.4965,
      0.6813,
      0.5034,
      0.4566,
      0.4852,
      0.6666,
      0.5172,
      0.6745,
      0.6282,
      0.6755,
      0.6137,
      0.5244,
      0.5163,
      0.6498,
      0.4896,
      0.5239,
      0.4306,
      0.4959,
      0.604,
      0.5808,
      0.6719,
      0.4702,
      0.6945,
      0.5777,
      0.5274,
      0.6668,
      0.6239,
      0.5373,
      0.5894,
      0.7133,
      0.6263,
      0.6448,
      0.6646,
      0.5728,
      0.6692,
      0.5432,
      0.5588,
      0.5721,
      0.5254,
      0.6682,
      0.4355,
      0.5915,
      0.6278,
      0.5924,
      0.5967,
      0.6169,
      0.664,
      0.4651,
      0.3831,
      0.4818,
      0.563,
      0.4681,
      0.4969,
      0.4601,
      0.6942,
      0.5316,
      0.6749,
      0.598,
      0.6257,
      0.6592,
      0.5847,
      0.5821,
      0.7065,
      0.6904,
      0.5785,
      0.4499,
      0.5088,
      0.4019,
      0.5425,
      0.4508,
      0.6459,
      0.7114,
      0.6536,
      0.6437,
      0.605,
      0.5942,
      0.6565,
      0.6311,
      0.7329,
      0.6651,
      0.5797,
      0.59,
      0.5708,
      0.5498,
      0.4448,
      0.5014,
      0.3409,
      0.6401,
      0.7364,
      0.5811,
      0.5711,
      0.5781,
      0.649,
      0.5479,
      0.6298,
      0.6551,
      0.4574,
      0.3911,
      0.4761,
      0.5363,
      0.5252,
      0.4885,
      0.5406,
      0.545,
      0.6181,
      0.639,
      0.569,
      0.6374,
      0.6648,
      0.6523,
      0.5264,
      0.5738,
      0.4909,
      0.5158,
      0.4307,
      0.5255,
      0.5508,
      0.528,
      0.6024,
      0.3874,
      0.6913,
      0.661,
      0.5279,
      0.6608,
      0.6244,
      0.6288,
      0.6025,
      0.6993,
      0.6205,
      0.5939,
      0.5431,
      0.5948,
      0.4794,
      0.6625,
      0.4794,
      0.6284,
      0.5529,
      0.6916,
      0.5819,
      0.6072,
      0.7776,
      0.6551,
      0.5589,
      0.5779,
      0.6397,
      0.4533,
      0.4387,
      0.4676,
      0.4268,
      0.4895,
      0.5462,
      0.4912,
      0.5532,
      0.5863,
      0.679,
      0.5754,
      0.6276,
      0.7448,
      0.6166,
      0.5905,
      0.7168,
      0.6813,
      0.5223,
      0.4591,
      0.497,
      0.4492,
      0.5887,
      0.5163,
      0.6415,
      0.7166,
      0.6837,
      0.6519,
      0.5939,
      0.5787,
      0.6576,
      0.6274,
      0.7275,
      0.6723,
      0.6059,
      0.5806,
      0.5663,
      0.5422,
      0.4069,
      0.4716,
      0.2915,
      0.6414,
      0.6903,
      0.5354,
      0.5937,
      0.5946,
      0.6257,
      0.5649,
      0.6314,
      0.6661,
      0.4129,
      0.4676,
      0.5267,
      0.5842,
      0.6667,
      0.7435,
      0.4771,
      0.5119,
      0.6029,
      0.6337,
      0.5723,
      0.618,
      0.6526,
      0.5771,
      0.6473,
      0.6893,
      0.5854,
      0.6035,
      0.4684,
      0.5254,
      0.4014,
      0.634,
      0.5388,
      0.5369,
      0.6887,
      0.6942,
      0.5672,
      0.6526,
      0.5972,
      0.5382,
      0.6082,
      0.6958,
      0.5734,
      0.5392,
      0.5822,
      0.604,
      0.5552,
      0.4065,
      0.5152,
      0.3753,
      0.5999,
      0.7252,
      0.5623,
      0.6094,
      0.6056,
      0.6609,
      0.5713,
      0.618,
      0.6815,
      0.5112,
      0.6804,
      0.637,
      0.4908,
      0.4094,
      0.5679,
      0.52,
      0.6882,
      0.5841,
      0.7027,
      0.6142,
      0.5773,
      0.6514,
      0.6248,
      0.62,
      0.6978,
      0.4885,
      0.4212,
      0.3339,
      0.3703,
      0.3993,
      0.3912,
      0.4338,
      0.4242,
      0.4515,
      0.3637,
      0.3846,
      0.424,
      0.4149,
      0.5175,
      0.3366,
      0.5391,
      0.0536,
      0,
      0,
      0,
      0,
      0,
      0.6785,
      0.6198,
      0.5809,
      0.5207,
      0.4428,
      0.312,
      0.4286,
      0.4981,
      0.5688,
      0.6128,
      0.5025,
      0.4742,
      0.5908,
      0.6076,
      0.5719,
      0.6835,
      0.664,
      0.6301,
      0.5694,
      0.6135,
      0.5997,
      0.538,
      0.4651,
      0.4797,
      0.678,
      0.517,
      0.6968,
      0.5903,
      0.6939,
      0.599,
      0.4919,
      0.4512,
      0.5616,
      0.4761,
      0.7099,
      0.5381,
      0.5979,
      0.6358,
      0.6627,
      0.6833,
      0.5593,
      0.5926,
      0.5844,
      0.5474,
      0.6497,
      0.5648,
      0.5169,
      0.6646,
      0.7039,
      0.6902,
      0.6117,
      0.7592,
      0.5897,
      0.5742,
      0.5738,
      0.6117,
      0.6251,
      0.5222,
      0.5542,
      0.5424,
      0.549,
      0.7422,
      0.7348,
      0.5716,
      0.5659,
      0.6358,
      0.6177,
      0.546,
      0.6134,
      0.5999,
      0.6062,
      0.4771,
      0.4766,
      0.4714,
      0.5902,
      0.6423,
      0.5109,
      0.6016,
      0.653,
      0.53,
      0.4984,
      0.6162,
      0.6129,
      0.6287,
      0.5241,
      0.5619,
      0.5644,
      0.5918,
      0.6802,
      0.6694,
      0.6457,
      0.5645,
      0.5871,
      0.6273,
      0.5924,
      0.6581,
      0.5416,
      0.7423,
      0.7054,
      0.6314,
      0.6583,
      0.6094,
      0.5746,
      0.4964,
      0.6078,
      0.4535,
      0.5688,
      0.7593,
      0.6021,
      0.4988,
      0.6121,
      0.5953,
      0.5627,
      0.6294,
      0.6087,
      0.6385,
      0.5469,
      0.6077,
      0.6442,
      0.715,
      0.7487,
      0.6153,
      0.6067,
      0.5917,
      0.6575,
      0.4451,
      0.5784,
      0.6245,
      0.6741,
      0.4992,
      0.4236,
      0.4644,
      0.487,
      0.4223,
      0.5891,
      0.5637,
      0.6678,
      0.7025,
      0.417,
      0.5774,
      0.5053,
      0.5935,
      0.6466,
      0.6218,
      0.6149,
      0.5376,
      0.696,
      0.6859,
      0.6389,
      0.5345,
      0.5929,
      0.5963,
      0.7017,
      0.3928,
      0.6653,
      0.5304,
      0.5254,
      0.6901,
      0.5331,
      0.7004,
      0.5233,
      0.5439,
      0.5972,
      0.5748,
      0.6011,
      0.5446,
      0.619,
      0.5962,
      0.6024,
      0.5412,
      0.5092,
      0.5536,
      0.6103,
      0.6703,
      0.4725,
      0.5945,
      0.5912,
      0.6831,
      0.4952,
      0.6386,
      0.5778,
      0.6239,
      0.5325,
      0.5629,
      0.5732,
      0.6125,
      0.6768,
      0.6447,
      0.6506,
      0.5762,
      0.5888,
      0.6227,
      0.5812,
      0.6533,
      0.5845,
      0.7363,
      0.7126,
      0.642,
      0.6681,
      0.6061,
      0.5824,
      0.4883,
      0.5628,
      0.4911,
      0.5496,
      0.7294,
      0.5964,
      0.5275,
      0.6183,
      0.6434,
      0.6266,
      0.6009,
      0.6356,
      0.6366,
      0.6564,
      0.7392,
      0.7732,
      0.6401,
      0.6564,
      0.6025,
      0.4978,
      0.7021,
      0.5235,
      0.5447,
      0.6976,
      0.6423,
      0.5284,
      0.6806,
      0.5793,
      0.423,
      0.641,
      0.5083,
      0.5611,
      0.6889,
      0.5304,
      0.6916,
      0.6078,
      0.5852,
      0.5971,
      0.5497,
      0.6368,
      0.5946,
      0.662,
      0.5227,
      0.6855,
      0.6351,
      0.5753,
      0.6226,
      0.6479,
      0.5917,
      0.4898,
      0.5835,
      0.475,
      0.5774,
      0.7879,
      0.5547,
      0.5438,
      0.5719,
      0.5531,
      0.5669,
      0.6166,
      0.6264,
      0.6152,
      0.6079,
      0.5747,
      0.5998,
      0.5999,
      0.6912,
      0.4723,
      0.587,
      0.7363,
      0.6874,
      0.6275,
      0.5546,
      0.6202,
      0.5207,
      0.6155,
      0.5427,
      0.3983,
      0.3402,
      0.2774,
      0.3603,
      0.3927,
      0.4169,
      0.3731,
      0.3894,
      0.4949,
      0.3921,
      0.4828,
      0.3578,
      0.3847,
      0.5483,
      0.3883,
      0.5757,
      0.0537,
      0.0153,
      0,
      0,
      0,
      0,
      0.7663,
      0.6636,
      0.6534,
      0.6365,
      0.6743,
      0.4993,
      0.6808,
      0.6023,
      0.5361,
      0.4678,
      0.4855,
      0.4595,
      0.5277,
      0.4918,
      0.6154,
      0.5813,
      0.6299,
      0.7055,
      0.5817,
      0.7072,
      0.6357,
      0.6793,
      0.6327,
      0.6288,
      0.5615,
      0.6741,
      0.6515,
      0.7215,
      0.6723,
      0.5618,
      0.6213,
      0.5208,
      0.4498,
      0.8153,
      0.7458,
      0.7686,
      0.7264,
      0.7058,
      0.7372,
      0.7105,
      0.747,
      0.6152,
      0.5597,
      0.6146,
      0.5435,
      0.5747,
      0.5254,
      0.7492,
      0.7621,
      0.6989,
      0.5988,
      0.7969,
      0.5651,
      0.6023,
      0.5809,
      0.5925,
      0.5845,
      0.5717,
      0.6105,
      0.6238,
      0.6055,
      0.6213,
      0.8135,
      0.7191,
      0.6241,
      0.561,
      0.6664,
      0.6214,
      0.7157,
      0.6377,
      0.643,
      0.495,
      0.7365,
      0.528,
      0.7347,
      0.6424,
      0.8061,
      0.5164,
      0.6072,
      0.6564,
      0.6629,
      0.4503,
      0.5886,
      0.752,
      0.6747,
      0.6743,
      0.663,
      0.6555,
      0.7002,
      0.7165,
      0.5967,
      0.6433,
      0.6099,
      0.5958,
      0.6152,
      0.7027,
      0.6486,
      0.6531,
      0.6927,
      0.6691,
      0.6709,
      0.6729,
      0.6435,
      0.6106,
      0.5802,
      0.6473,
      0.5538,
      0.7048,
      0.5003,
      0.6383,
      0.637,
      0.4762,
      0.6221,
      0.6073,
      0.6225,
      0.7751,
      0.6592,
      0.8004,
      0.6342,
      0.8711,
      0.7859,
      0.6003,
      0.6416,
      0.6327,
      0.5881,
      0.7295,
      0.4958,
      0.6112,
      0.715,
      0.5798,
      0.5747,
      0.5629,
      0.724,
      0.5933,
      0.726,
      0.6804,
      0.8744,
      0.7129,
      0.7234,
      0.6666,
      0.5913,
      0.6085,
      0.665,
      0.6499,
      0.7204,
      0.5631,
      0.764,
      0.7174,
      0.6132,
      0.6164,
      0.6578,
      0.6494,
      0.5921,
      0.5288,
      0.7178,
      0.6543,
      0.4937,
      0.7147,
      0.5956,
      0.6526,
      0.7116,
      0.6266,
      0.7429,
      0.5571,
      0.7597,
      0.6553,
      0.7541,
      0.6463,
      0.7545,
      0.5484,
      0.6152,
      0.5691,
      0.6733,
      0.6036,
      0.6984,
      0.6208,
      0.5483,
      0.6569,
      0.6762,
      0.4523,
      0.6391,
      0.7736,
      0.6693,
      0.6994,
      0.6496,
      0.6562,
      0.7013,
      0.7317,
      0.62,
      0.6607,
      0.6017,
      0.5741,
      0.5005,
      0.7027,
      0.6211,
      0.6486,
      0.6908,
      0.6651,
      0.6164,
      0.6675,
      0.6526,
      0.6157,
      0.6503,
      0.6488,
      0.6291,
      0.7054,
      0.5122,
      0.6185,
      0.6527,
      0.5236,
      0.6208,
      0.6037,
      0.6432,
      0.7857,
      0.6198,
      0.7923,
      0.8627,
      0.7321,
      0.6529,
      0.6761,
      0.7966,
      0.8023,
      0.5534,
      0.5306,
      0.8459,
      0.5965,
      0.741,
      0.5333,
      0.5782,
      0.5426,
      0.7333,
      0.6976,
      0.7153,
      0.73,
      0.6528,
      0.6559,
      0.7621,
      0.5408,
      0.5834,
      0.6709,
      0.5572,
      0.468,
      0.6991,
      0.612,
      0.6255,
      0.5985,
      0.6704,
      0.6665,
      0.6848,
      0.6404,
      0.5414,
      0.5918,
      0.5885,
      0.6012,
      0.7331,
      0.4992,
      0.6248,
      0.6323,
      0.4928,
      0.638,
      0.5382,
      0.6588,
      0.7774,
      0.6395,
      0.6418,
      0.7193,
      0.6612,
      0.6244,
      0.7404,
      0.5758,
      0.7492,
      0.6659,
      0.4785,
      0.5648,
      0.4128,
      0.5685,
      0.5799,
      0.6009,
      0.4847,
      0.4063,
      0.3304,
      0.4015,
      0.4051,
      0.4362,
      0.4404,
      0.4738,
      0.5212,
      0.4173,
      0.4638,
      0.4204,
      0.3737,
      0.522,
      0.359,
      0.5189,
      0.107,
      0,
      0,
      0,
      0,
      0,
      0.8623,
      0.722,
      0.7047,
      0.592,
      0.6734,
      0.5435,
      0.6397,
      0.6606,
      0.6156,
      0.4671,
      0.4402,
      0.4607,
      0.3893,
      0.4402,
      0.4759,
      0.3682,
      0.4997,
      0.6955,
      0.6592,
      0.7791,
      0.7656,
      0.8341,
      0.6962,
      0.7995,
      0.5604,
      0.8649,
      0.64,
      0.6937,
      0.5521,
      0.8236,
      0.7032,
      0.575,
      0.3356,
      0.8461,
      0.7335,
      0.6761,
      0.7385,
      0.672,
      0.817,
      0.6449,
      0.7493,
      0.649,
      0.6433,
      0.4902,
      0.452,
      0.7393,
      0.6753,
      0.5845,
      0.6018,
      0.7651,
      0.6922,
      0.7495,
      0.5644,
      0.6553,
      0.652,
      0.6245,
      0.525,
      0.5647,
      0.7604,
      0.7631,
      0.5686,
      0.4477,
      0.5735,
      0.7708,
      0.8241,
      0.5086,
      0.6246,
      0.712,
      0.7449,
      0.7546,
      0.7346,
      0.7133,
      0.6503,
      0.6318,
      0.7747,
      0.6345,
      0.7111,
      0.4198,
      0.6257,
      0.7856,
      0.5832,
      0.6753,
      0.5266,
      0.7337,
      0.6504,
      0.6758,
      0.6814,
      0.65,
      0.618,
      0.7399,
      0.5839,
      0.7696,
      0.5667,
      0.5849,
      0.6008,
      0.6428,
      0.6661,
      0.5925,
      0.7641,
      0.7481,
      0.7357,
      0.6978,
      0.6101,
      0.6632,
      0.5855,
      0.7181,
      0.5769,
      0.5909,
      0.4697,
      0.5979,
      0.7462,
      0.4704,
      0.6148,
      0.642,
      0.5578,
      0.7775,
      0.7378,
      0.8257,
      0.7609,
      0.7287,
      0.6929,
      0.673,
      0.5632,
      0.8162,
      0.6032,
      0.8134,
      0.5482,
      0.4808,
      0.5506,
      0.5773,
      0.6127,
      0.7961,
      0.7126,
      0.6967,
      0.7161,
      0.6394,
      0.6544,
      0.6616,
      0.7606,
      0.6454,
      0.5451,
      0.8349,
      0.5675,
      0.371,
      0.789,
      0.8454,
      0.8118,
      0.8203,
      0.694,
      0.778,
      0.722,
      0.6553,
      0.6838,
      0.5474,
      0.7769,
      0.6911,
      0.6335,
      0.4689,
      0.7099,
      0.6774,
      0.8145,
      0.8176,
      0.5579,
      0.5774,
      0.7917,
      0.7017,
      0.7181,
      0.7624,
      0.8472,
      0.7115,
      0.8096,
      0.6652,
      0.5826,
      0.7337,
      0.6968,
      0.5214,
      0.4734,
      0.5751,
      0.6533,
      0.596,
      0.6331,
      0.7346,
      0.6596,
      0.7092,
      0.6194,
      0.6368,
      0.6008,
      0.7413,
      0.5788,
      0.7687,
      0.5662,
      0.5526,
      0.5271,
      0.6384,
      0.6064,
      0.5942,
      0.7666,
      0.7431,
      0.6806,
      0.632,
      0.614,
      0.6967,
      0.6886,
      0.6737,
      0.65,
      0.578,
      0.4796,
      0.5885,
      0.7235,
      0.5169,
      0.6148,
      0.6472,
      0.5866,
      0.7799,
      0.7798,
      0.7458,
      0.7501,
      0.7844,
      0.7784,
      0.6923,
      0.5976,
      0.59,
      0.5186,
      0.5451,
      0.5825,
      0.7403,
      0.7181,
      0.6814,
      0.7842,
      0.5905,
      0.7081,
      0.6981,
      0.6862,
      0.7018,
      0.6325,
      0.6326,
      0.7404,
      0.7464,
      0.5306,
      0.7671,
      0.4968,
      0.6778,
      0.598,
      0.5727,
      0.6284,
      0.749,
      0.774,
      0.7202,
      0.6284,
      0.608,
      0.639,
      0.5213,
      0.6042,
      0.6321,
      0.5836,
      0.4936,
      0.5986,
      0.7304,
      0.4316,
      0.6104,
      0.6554,
      0.5894,
      0.7485,
      0.7219,
      0.7222,
      0.7614,
      0.7479,
      0.7006,
      0.7813,
      0.5627,
      0.7955,
      0.7348,
      0.632,
      0.6431,
      0.4003,
      0.563,
      0.6226,
      0.5704,
      0.4663,
      0.406,
      0.2626,
      0.4005,
      0.3728,
      0.4454,
      0.4895,
      0.378,
      0.4332,
      0.4105,
      0.4405,
      0.4747,
      0.4556,
      0.533,
      0.3479,
      0.5827,
      0.0325,
      0.0153,
      0,
      0,
      0,
      0,
      0.651,
      0.5114,
      0.554,
      0.5497,
      0.4964,
      0.4104,
      0.4503,
      0.5676,
      0.5384,
      0.4289,
      0.5422,
      0.484,
      0.5201,
      0.4537,
      0.457,
      0.4112,
      0.5774,
      0.4394,
      0.4387,
      0.5215,
      0.4495,
      0.4203,
      0.4237,
      0.5644,
      0.5607,
      0.5408,
      0.5193,
      0.5153,
      0.5338,
      0.6574,
      0.4879,
      0.4995,
      0.4217,
      0.5717,
      0.5491,
      0.4952,
      0.4595,
      0.5705,
      0.522,
      0.6507,
      0.5131,
      0.4703,
      0.4741,
      0.4518,
      0.4932,
      0.4014,
      0.5551,
      0.56,
      0.4939,
      0.6612,
      0.7921,
      0.6537,
      0.505,
      0.732,
      0.4405,
      0.5354,
      0.4385,
      0.5448,
      0.7208,
      0.6996,
      0.489,
      0.4791,
      0.4987,
      0.509,
      0.5147,
      0.5408,
      0.5494,
      0.5005,
      0.5309,
      0.5567,
      0.5754,
      0.5011,
      0.5589,
      0.5896,
      0.5668,
      0.823,
      0.5356,
      0.7606,
      0.5657,
      0.4902,
      0.5266,
      0.5604,
      0.5193,
      0.5742,
      0.636,
      0.5473,
      0.4796,
      0.4833,
      0.6652,
      0.6627,
      0.6157,
      0.5242,
      0.5585,
      0.5242,
      0.6014,
      0.5828,
      0.628,
      0.5609,
      0.6786,
      0.507,
      0.6624,
      0.6536,
      0.4664,
      0.4528,
      0.4214,
      0.5232,
      0.5188,
      0.5483,
      0.5235,
      0.4828,
      0.6796,
      0.5377,
      0.5957,
      0.6495,
      0.528,
      0.659,
      0.4707,
      0.5293,
      0.5351,
      0.4557,
      0.4642,
      0.5732,
      0.6135,
      0.5975,
      0.5497,
      0.4352,
      0.5192,
      0.3978,
      0.4153,
      0.4198,
      0.402,
      0.5351,
      0.5182,
      0.5026,
      0.5084,
      0.5431,
      0.5176,
      0.6551,
      0.5261,
      0.4772,
      0.4609,
      0.5138,
      0.5298,
      0.3869,
      0.6935,
      0.6083,
      0.5414,
      0.6495,
      0.5819,
      0.7012,
      0.595,
      0.5287,
      0.4512,
      0.3918,
      0.54,
      0.5183,
      0.7077,
      0.4028,
      0.5641,
      0.6839,
      0.511,
      0.5656,
      0.4275,
      0.5476,
      0.4706,
      0.4536,
      0.542,
      0.5063,
      0.5056,
      0.6559,
      0.6658,
      0.6091,
      0.6267,
      0.8026,
      0.412,
      0.4927,
      0.4615,
      0.5087,
      0.4716,
      0.7154,
      0.5356,
      0.5872,
      0.6366,
      0.5413,
      0.4751,
      0.5393,
      0.6706,
      0.6554,
      0.6106,
      0.5338,
      0.572,
      0.5716,
      0.5262,
      0.5931,
      0.5568,
      0.5705,
      0.6826,
      0.5216,
      0.6409,
      0.6382,
      0.4733,
      0.4898,
      0.4714,
      0.4571,
      0.5482,
      0.4968,
      0.5174,
      0.4944,
      0.63,
      0.5448,
      0.5462,
      0.645,
      0.5303,
      0.4603,
      0.5086,
      0.5138,
      0.4856,
      0.6723,
      0.6165,
      0.6447,
      0.5819,
      0.408,
      0.5002,
      0.5733,
      0.552,
      0.8338,
      0.4204,
      0.5884,
      0.4696,
      0.7212,
      0.7256,
      0.4895,
      0.7137,
      0.4213,
      0.5186,
      0.6666,
      0.7299,
      0.5593,
      0.4096,
      0.5488,
      0.712,
      0.6297,
      0.5992,
      0.5155,
      0.7355,
      0.5949,
      0.5244,
      0.6331,
      0.62,
      0.5157,
      0.4834,
      0.5126,
      0.5311,
      0.5699,
      0.5797,
      0.4812,
      0.456,
      0.6593,
      0.5915,
      0.5578,
      0.6249,
      0.5254,
      0.4856,
      0.6128,
      0.5775,
      0.5315,
      0.4871,
      0.6285,
      0.6491,
      0.6294,
      0.6366,
      0.7999,
      0.6225,
      0.5921,
      0.4064,
      0.5228,
      0.6483,
      0.7399,
      0.4644,
      0.4005,
      0.352,
      0.3977,
      0.3855,
      0.4274,
      0.4893,
      0.3579,
      0.542,
      0.4298,
      0.4873,
      0.4482,
      0.3994,
      0.5485,
      0.4573,
      0.5501,
      0.0663,
      0,
      0,
      0,
      0,
      0,
      0.6019,
      0.5227,
      0.4941,
      0.5212,
      0.5343,
      0.3876,
      0.3612,
      0.5575,
      0.4326,
      0.4276,
      0.4777,
      0.4147,
      0.4122,
      0.3917,
      0.4101,
      0.4603,
      0.6072,
      0.4282,
      0.297,
      0.4005,
      0.5039,
      0.4668,
      0.4898,
      0.4862,
      0.5345,
      0.4724,
      0.5859,
      0.4456,
      0.5257,
      0.4489,
      0.4768,
      0.4167,
      0.4244,
      0.4271,
      0.4665,
      0.4889,
      0.4165,
      0.5086,
      0.4895,
      0.5463,
      0.421,
      0.4202,
      0.5078,
      0.4428,
      0.4065,
      0.3799,
      0.5299,
      0.4247,
      0.6087,
      0.6581,
      0.7481,
      0.623,
      0.5387,
      0.6696,
      0.4369,
      0.5398,
      0.4729,
      0.593,
      0.4273,
      0.5758,
      0.456,
      0.5656,
      0.5541,
      0.4212,
      0.5109,
      0.5309,
      0.528,
      0.3443,
      0.4389,
      0.4891,
      0.437,
      0.4915,
      0.4654,
      0.4895,
      0.5145,
      0.6283,
      0.3967,
      0.7643,
      0.4845,
      0.525,
      0.4967,
      0.4666,
      0.6167,
      0.5064,
      0.5048,
      0.5341,
      0.4487,
      0.5362,
      0.584,
      0.676,
      0.7394,
      0.5057,
      0.6151,
      0.6165,
      0.5979,
      0.5939,
      0.5618,
      0.5771,
      0.6771,
      0.5706,
      0.5216,
      0.5379,
      0.5342,
      0.4366,
      0.4915,
      0.5416,
      0.4543,
      0.627,
      0.5398,
      0.4555,
      0.5253,
      0.606,
      0.4558,
      0.6176,
      0.5369,
      0.483,
      0.5455,
      0.4911,
      0.5315,
      0.398,
      0.416,
      0.4879,
      0.5095,
      0.4324,
      0.6056,
      0.4245,
      0.5276,
      0.4455,
      0.5142,
      0.4224,
      0.3704,
      0.4185,
      0.7105,
      0.4886,
      0.4721,
      0.4707,
      0.5124,
      0.5645,
      0.4747,
      0.4439,
      0.5252,
      0.4931,
      0.4524,
      0.3551,
      0.611,
      0.4454,
      0.5892,
      0.6212,
      0.6548,
      0.5233,
      0.5811,
      0.5214,
      0.4339,
      0.3114,
      0.5054,
      0.4146,
      0.4913,
      0.4552,
      0.464,
      0.6795,
      0.4034,
      0.5179,
      0.4149,
      0.4881,
      0.4673,
      0.3843,
      0.4439,
      0.4606,
      0.4324,
      0.6099,
      0.5221,
      0.5272,
      0.5955,
      0.6333,
      0.4481,
      0.5452,
      0.3583,
      0.4999,
      0.473,
      0.703,
      0.5503,
      0.5397,
      0.5104,
      0.5395,
      0.407,
      0.5214,
      0.6019,
      0.67,
      0.7375,
      0.5316,
      0.6069,
      0.6274,
      0.5416,
      0.6134,
      0.4561,
      0.5498,
      0.6753,
      0.5117,
      0.5257,
      0.5649,
      0.534,
      0.4543,
      0.4579,
      0.5153,
      0.3927,
      0.6037,
      0.5352,
      0.4475,
      0.5016,
      0.6002,
      0.5657,
      0.609,
      0.5553,
      0.4239,
      0.3514,
      0.659,
      0.3665,
      0.7017,
      0.5133,
      0.5806,
      0.4918,
      0.4548,
      0.5086,
      0.5947,
      0.5744,
      0.7429,
      0.4041,
      0.7031,
      0.4524,
      0.5311,
      0.7591,
      0.4287,
      0.5731,
      0.4702,
      0.5387,
      0.6011,
      0.6253,
      0.4682,
      0.5119,
      0.5257,
      0.5506,
      0.3456,
      0.5581,
      0.4547,
      0.6046,
      0.6295,
      0.5668,
      0.5078,
      0.5162,
      0.5411,
      0.4578,
      0.4603,
      0.4949,
      0.4394,
      0.5434,
      0.5222,
      0.4455,
      0.5231,
      0.6313,
      0.4416,
      0.5833,
      0.5236,
      0.4861,
      0.6473,
      0.6115,
      0.4765,
      0.4801,
      0.6862,
      0.555,
      0.6603,
      0.5525,
      0.7325,
      0.5272,
      0.5103,
      0.4212,
      0.5185,
      0.5282,
      0.7235,
      0.4636,
      0.4333,
      0.3107,
      0.4012,
      0.3898,
      0.4259,
      0.4891,
      0.4279,
      0.5274,
      0.443,
      0.5094,
      0.4014,
      0.4549,
      0.5374,
      0.4064,
      0.5854,
      0.1288,
      0.0144,
      0,
      0,
      0,
      0,
      0.7288,
      0.6803,
      0.5847,
      0.7258,
      0.5342,
      0.7182,
      0.5519,
      0.652,
      0.5236,
      0.4935,
      0.4343,
      0.4473,
      0.4381,
      0.3663,
      0.4426,
      0.498,
      0.743,
      0.734,
      0.5603,
      0.6621,
      0.5853,
      0.7476,
      0.5289,
      0.4961,
      0.5684,
      0.5131,
      0.628,
      0.455,
      0.6157,
      0.5064,
      0.4843,
      0.4619,
      0.4955,
      0.6635,
      0.6358,
      0.5602,
      0.6558,
      0.6469,
      0.6748,
      0.663,
      0.6238,
      0.4668,
      0.6897,
      0.6184,
      0.6061,
      0.4789,
      0.547,
      0.5033,
      0.753,
      0.6336,
      0.6677,
      0.5418,
      0.668,
      0.697,
      0.5548,
      0.4967,
      0.6426,
      0.5499,
      0.5008,
      0.5052,
      0.5162,
      0.586,
      0.5974,
      0.5276,
      0.4535,
      0.5268,
      0.7335,
      0.5418,
      0.6722,
      0.5707,
      0.7317,
      0.5868,
      0.539,
      0.4247,
      0.5401,
      0.6411,
      0.4699,
      0.5912,
      0.5164,
      0.4989,
      0.5648,
      0.5179,
      0.703,
      0.6582,
      0.6272,
      0.6094,
      0.6355,
      0.6595,
      0.7003,
      0.6175,
      0.6666,
      0.5224,
      0.5454,
      0.6352,
      0.643,
      0.5719,
      0.6012,
      0.6211,
      0.6862,
      0.6268,
      0.5911,
      0.6463,
      0.574,
      0.5731,
      0.5518,
      0.5827,
      0.5427,
      0.6224,
      0.5156,
      0.5016,
      0.5371,
      0.5396,
      0.5293,
      0.5547,
      0.5778,
      0.7322,
      0.5526,
      0.6553,
      0.5968,
      0.7396,
      0.5403,
      0.5032,
      0.4798,
      0.4967,
      0.6426,
      0.5149,
      0.5438,
      0.5464,
      0.5288,
      0.3347,
      0.4071,
      0.6606,
      0.8581,
      0.5495,
      0.6304,
      0.6523,
      0.6415,
      0.6597,
      0.4638,
      0.4665,
      0.6645,
      0.4909,
      0.533,
      0.4806,
      0.5681,
      0.4902,
      0.6317,
      0.6446,
      0.6952,
      0.5152,
      0.6339,
      0.4968,
      0.6287,
      0.4336,
      0.5971,
      0.4177,
      0.4622,
      0.5504,
      0.5522,
      0.6598,
      0.4965,
      0.5605,
      0.3972,
      0.5526,
      0.7339,
      0.5551,
      0.6817,
      0.6025,
      0.7403,
      0.6237,
      0.5389,
      0.4787,
      0.5766,
      0.6346,
      0.4763,
      0.5682,
      0.4607,
      0.5113,
      0.453,
      0.523,
      0.7454,
      0.6462,
      0.61,
      0.6068,
      0.6571,
      0.654,
      0.6983,
      0.6346,
      0.6776,
      0.4865,
      0.5681,
      0.6238,
      0.5765,
      0.5961,
      0.6342,
      0.625,
      0.6864,
      0.6295,
      0.591,
      0.6533,
      0.5537,
      0.6416,
      0.5204,
      0.5789,
      0.5354,
      0.6099,
      0.4702,
      0.5196,
      0.5772,
      0.5609,
      0.6024,
      0.5287,
      0.5814,
      0.7609,
      0.6008,
      0.7914,
      0.72,
      0.7224,
      0.6529,
      0.7303,
      0.5929,
      0.6923,
      0.5125,
      0.5897,
      0.8105,
      0.5611,
      0.525,
      0.578,
      0.424,
      0.737,
      0.69,
      0.5594,
      0.628,
      0.6722,
      0.6849,
      0.6525,
      0.5678,
      0.4713,
      0.6856,
      0.5097,
      0.5452,
      0.5062,
      0.5634,
      0.5408,
      0.5847,
      0.6461,
      0.6656,
      0.6022,
      0.6388,
      0.5559,
      0.6232,
      0.564,
      0.6031,
      0.5604,
      0.5771,
      0.4881,
      0.5263,
      0.5633,
      0.666,
      0.5553,
      0.4883,
      0.5546,
      0.7413,
      0.6249,
      0.6359,
      0.5964,
      0.7418,
      0.6128,
      0.6223,
      0.6405,
      0.6372,
      0.7352,
      0.5451,
      0.522,
      0.5269,
      0.6019,
      0.5035,
      0.7092,
      0.5273,
      0.463,
      0.415,
      0.4524,
      0.3859,
      0.5006,
      0.5019,
      0.4415,
      0.5485,
      0.4745,
      0.5156,
      0.4634,
      0.4769,
      0.535,
      0.4264,
      0.6144,
      0.1716,
      0,
      0,
      0,
      0,
      0,
      0.6455,
      0.5885,
      0.5315,
      0.6098,
      0.4905,
      0.5936,
      0.5095,
      0.5592,
      0.3937,
      0.4096,
      0.4477,
      0.4019,
      0.4461,
      0.4402,
      0.4592,
      0.453,
      0.7514,
      0.5787,
      0.344,
      0.6535,
      0.4874,
      0.5935,
      0.3972,
      0.4874,
      0.565,
      0.7506,
      0.8071,
      0.6488,
      0.8174,
      0.7122,
      0.6961,
      0.578,
      0.5422,
      0.5515,
      0.5409,
      0.5119,
      0.5624,
      0.5667,
      0.4621,
      0.5042,
      0.6046,
      0.5766,
      0.8399,
      0.7414,
      0.7725,
      0.6365,
      0.5941,
      0.6052,
      0.5933,
      0.5889,
      0.5999,
      0.5369,
      0.5677,
      0.7204,
      0.5071,
      0.482,
      0.4762,
      0.563,
      0.8131,
      0.6181,
      0.6798,
      0.6145,
      0.7347,
      0.7378,
      0.7526,
      0.812,
      0.5914,
      0.3659,
      0.6705,
      0.4158,
      0.5922,
      0.5473,
      0.5174,
      0.5286,
      0.758,
      0.7795,
      0.6344,
      0.8136,
      0.7233,
      0.6911,
      0.6937,
      0.6599,
      0.6317,
      0.6722,
      0.54,
      0.5251,
      0.4948,
      0.5265,
      0.7305,
      0.6315,
      0.5982,
      0.7365,
      0.6735,
      0.6493,
      0.6995,
      0.7239,
      0.6528,
      0.6127,
      0.6933,
      0.6539,
      0.7557,
      0.6476,
      0.5191,
      0.6373,
      0.7111,
      0.553,
      0.4575,
      0.8244,
      0.7877,
      0.6379,
      0.6819,
      0.7223,
      0.788,
      0.802,
      0.7989,
      0.5707,
      0.3344,
      0.65,
      0.4639,
      0.5986,
      0.4492,
      0.4784,
      0.5309,
      0.7488,
      0.7912,
      0.6312,
      0.8247,
      0.7415,
      0.6735,
      0.5573,
      0.5517,
      0.5174,
      0.4718,
      0.4717,
      0.5172,
      0.4529,
      0.4977,
      0.5645,
      0.4681,
      0.5971,
      0.7421,
      0.7221,
      0.657,
      0.6256,
      0.5822,
      0.569,
      0.5994,
      0.573,
      0.6409,
      0.4585,
      0.5691,
      0.5736,
      0.5134,
      0.358,
      0.5054,
      0.4319,
      0.8066,
      0.6685,
      0.6807,
      0.6548,
      0.7447,
      0.7415,
      0.7614,
      0.804,
      0.5847,
      0.3588,
      0.6029,
      0.4608,
      0.6102,
      0.5329,
      0.5136,
      0.5196,
      0.7777,
      0.7308,
      0.6293,
      0.8237,
      0.7136,
      0.6908,
      0.6206,
      0.6999,
      0.6352,
      0.6787,
      0.5335,
      0.4735,
      0.5033,
      0.5036,
      0.7403,
      0.6586,
      0.6163,
      0.721,
      0.6816,
      0.657,
      0.6332,
      0.7122,
      0.6496,
      0.5977,
      0.6868,
      0.6594,
      0.77,
      0.6364,
      0.499,
      0.6181,
      0.7159,
      0.5147,
      0.4352,
      0.8273,
      0.7809,
      0.6472,
      0.6989,
      0.7242,
      0.7496,
      0.8123,
      0.8091,
      0.6136,
      0.2902,
      0.5983,
      0.6691,
      0.6049,
      0.4093,
      0.5961,
      0.7982,
      0.5111,
      0.3524,
      0.5799,
      0.6712,
      0.4893,
      0.6341,
      0.5791,
      0.5503,
      0.6249,
      0.7518,
      0.4859,
      0.4909,
      0.5621,
      0.5467,
      0.7357,
      0.5092,
      0.6089,
      0.8148,
      0.7323,
      0.6252,
      0.6321,
      0.6141,
      0.6197,
      0.5812,
      0.5716,
      0.6298,
      0.7818,
      0.6883,
      0.4925,
      0.5873,
      0.7069,
      0.5225,
      0.4508,
      0.8029,
      0.7331,
      0.662,
      0.6944,
      0.7993,
      0.7423,
      0.7975,
      0.8042,
      0.7039,
      0.5748,
      0.5949,
      0.467,
      0.6997,
      0.6794,
      0.6472,
      0.5904,
      0.7656,
      0.7918,
      0.653,
      0.8048,
      0.7251,
      0.7624,
      0.6626,
      0.7216,
      0.4713,
      0.4796,
      0.3424,
      0.4579,
      0.4046,
      0.4159,
      0.4912,
      0.4457,
      0.7514,
      0.7701,
      0.7909,
      0.6895,
      0.8015,
      0.5459,
      0.6513,
      0.6044,
      0.4419,
      0.3079,
      0,
      0,
      0,
      0,
      0.5383,
      0.4953,
      0.3842,
      0.452,
      0.5073,
      0.3134,
      0.4345,
      0.4053,
      0.457,
      0.4676,
      0.4176,
      0.4258,
      0.4159,
      0.4061,
      0.5083,
      0.4482,
      0.6538,
      0.4783,
      0.4058,
      0.5788,
      0.4169,
      0.3997,
      0.4532,
      0.4503,
      0.5815,
      0.6012,
      0.6839,
      0.6229,
      0.593,
      0.5228,
      0.6916,
      0.5735,
      0.5792,
      0.451,
      0.5047,
      0.6215,
      0.4705,
      0.5603,
      0.4579,
      0.4995,
      0.5035,
      0.5579,
      0.598,
      0.61,
      0.6878,
      0.5622,
      0.6767,
      0.6757,
      0.685,
      0.5653,
      0.5143,
      0.4995,
      0.4622,
      0.647,
      0.4211,
      0.5105,
      0.4746,
      0.5216,
      0.5229,
      0.4405,
      0.6521,
      0.5446,
      0.7163,
      0.5542,
      0.6095,
      0.5934,
      0.4271,
      0.3704,
      0.5279,
      0.4542,
      0.4503,
      0.5494,
      0.4767,
      0.5657,
      0.6228,
      0.6311,
      0.6084,
      0.4845,
      0.6005,
      0.687,
      0.6805,
      0.7257,
      0.5994,
      0.5306,
      0.4978,
      0.5393,
      0.3893,
      0.4606,
      0.6809,
      0.5461,
      0.5631,
      0.6205,
      0.5316,
      0.5736,
      0.5948,
      0.6508,
      0.6902,
      0.739,
      0.6006,
      0.4853,
      0.6324,
      0.6764,
      0.5237,
      0.5874,
      0.6227,
      0.5476,
      0.5363,
      0.611,
      0.5552,
      0.6145,
      0.711,
      0.5457,
      0.6797,
      0.6057,
      0.669,
      0.4894,
      0.3764,
      0.5042,
      0.4663,
      0.6621,
      0.6606,
      0.4772,
      0.5737,
      0.6002,
      0.645,
      0.6117,
      0.5662,
      0.571,
      0.6854,
      0.5887,
      0.583,
      0.4947,
      0.4659,
      0.4749,
      0.5244,
      0.4328,
      0.6236,
      0.542,
      0.458,
      0.5604,
      0.5352,
      0.6052,
      0.5389,
      0.6345,
      0.6804,
      0.5929,
      0.6864,
      0.6202,
      0.5978,
      0.4651,
      0.5508,
      0.5783,
      0.3517,
      0.3379,
      0.4964,
      0.4568,
      0.4955,
      0.6864,
      0.6579,
      0.602,
      0.4896,
      0.579,
      0.6377,
      0.5165,
      0.502,
      0.3875,
      0.5313,
      0.5845,
      0.4617,
      0.4447,
      0.4698,
      0.5425,
      0.6182,
      0.6155,
      0.5957,
      0.6382,
      0.5438,
      0.6988,
      0.6632,
      0.7233,
      0.5865,
      0.525,
      0.4741,
      0.5117,
      0.3602,
      0.477,
      0.6777,
      0.625,
      0.5874,
      0.6263,
      0.5492,
      0.5761,
      0.619,
      0.6543,
      0.7481,
      0.7286,
      0.605,
      0.5032,
      0.6277,
      0.6647,
      0.5509,
      0.5453,
      0.5984,
      0.5611,
      0.5028,
      0.6211,
      0.5634,
      0.6163,
      0.6259,
      0.5409,
      0.6664,
      0.6246,
      0.67,
      0.424,
      0.3959,
      0.5987,
      0.4506,
      0.6242,
      0.5006,
      0.6004,
      0.4688,
      0.47,
      0.4254,
      0.6147,
      0.4795,
      0.6723,
      0.3891,
      0.5792,
      0.5191,
      0.6448,
      0.7656,
      0.5003,
      0.483,
      0.7024,
      0.4871,
      0.4481,
      0.5579,
      0.5516,
      0.5886,
      0.6422,
      0.5629,
      0.6508,
      0.6838,
      0.6741,
      0.687,
      0.5265,
      0.5113,
      0.6619,
      0.6668,
      0.539,
      0.5433,
      0.6354,
      0.5274,
      0.5414,
      0.6139,
      0.5409,
      0.61,
      0.5921,
      0.5434,
      0.6572,
      0.621,
      0.6659,
      0.6571,
      0.5794,
      0.5524,
      0.5204,
      0.5511,
      0.652,
      0.6221,
      0.5689,
      0.726,
      0.7342,
      0.6164,
      0.5804,
      0.579,
      0.665,
      0.7011,
      0.7106,
      0.5624,
      0.4763,
      0.3936,
      0.514,
      0.4046,
      0.4906,
      0.5095,
      0.4971,
      0.6993,
      0.474,
      0.652,
      0.5769,
      0.787,
      0.6418,
      0.7007,
      0.6718,
      0.3669,
      0.2417,
      0,
      0,
      0,
      0,
      0.4874,
      0.5128,
      0.5012,
      0.4597,
      0.4657,
      0.341,
      0.4838,
      0.3888,
      0.584,
      0.4498,
      0.5031,
      0.4613,
      0.452,
      0.4894,
      0.4778,
      0.4728,
      0.6159,
      0.7583,
      0.7342,
      0.7578,
      0.518,
      0.4882,
      0.5359,
      0.3896,
      0.58,
      0.6353,
      0.6334,
      0.7336,
      0.6311,
      0.5756,
      0.7064,
      0.5777,
      0.6023,
      0.524,
      0.5872,
      0.6612,
      0.5604,
      0.6095,
      0.61,
      0.5731,
      0.5423,
      0.6134,
      0.5826,
      0.6502,
      0.6411,
      0.6229,
      0.6422,
      0.7871,
      0.6319,
      0.5758,
      0.5703,
      0.6011,
      0.5129,
      0.6179,
      0.3971,
      0.5401,
      0.4542,
      0.5583,
      0.4834,
      0.5194,
      0.6398,
      0.7522,
      0.6123,
      0.7072,
      0.5447,
      0.6143,
      0.6788,
      0.5069,
      0.6404,
      0.539,
      0.4383,
      0.4683,
      0.7106,
      0.5463,
      0.7042,
      0.4553,
      0.751,
      0.5328,
      0.6607,
      0.7012,
      0.5601,
      0.6566,
      0.563,
      0.5562,
      0.5703,
      0.533,
      0.421,
      0.5412,
      0.4683,
      0.627,
      0.4959,
      0.5478,
      0.6207,
      0.6236,
      0.556,
      0.6977,
      0.7801,
      0.6253,
      0.5932,
      0.6017,
      0.591,
      0.6845,
      0.5892,
      0.4411,
      0.4594,
      0.6726,
      0.5992,
      0.5756,
      0.5576,
      0.6307,
      0.777,
      0.6162,
      0.6886,
      0.5999,
      0.659,
      0.5595,
      0.5288,
      0.719,
      0.5657,
      0.5781,
      0.4881,
      0.5629,
      0.6149,
      0.6702,
      0.5943,
      0.6549,
      0.6684,
      0.6609,
      0.6911,
      0.5983,
      0.6643,
      0.5733,
      0.4827,
      0.5162,
      0.4854,
      0.4714,
      0.6138,
      0.5504,
      0.5703,
      0.5828,
      0.5574,
      0.6747,
      0.7041,
      0.6255,
      0.6948,
      0.7502,
      0.7104,
      0.6209,
      0.6352,
      0.5329,
      0.5799,
      0.6208,
      0.4635,
      0.3002,
      0.5463,
      0.5651,
      0.5036,
      0.4916,
      0.6462,
      0.7128,
      0.5541,
      0.4926,
      0.7353,
      0.5914,
      0.4754,
      0.7437,
      0.7566,
      0.5693,
      0.5859,
      0.4406,
      0.465,
      0.5614,
      0.6272,
      0.5429,
      0.6011,
      0.7105,
      0.6266,
      0.6929,
      0.6417,
      0.7719,
      0.5281,
      0.5737,
      0.5683,
      0.561,
      0.4145,
      0.5098,
      0.4298,
      0.6686,
      0.497,
      0.5667,
      0.6245,
      0.6403,
      0.5861,
      0.6982,
      0.7456,
      0.6091,
      0.6062,
      0.5603,
      0.5778,
      0.6902,
      0.5755,
      0.3973,
      0.4578,
      0.6576,
      0.6179,
      0.5898,
      0.5873,
      0.6155,
      0.7166,
      0.5928,
      0.6925,
      0.5652,
      0.6603,
      0.3892,
      0.4577,
      0.6203,
      0.4997,
      0.6009,
      0.4823,
      0.5543,
      0.4806,
      0.5878,
      0.5637,
      0.6516,
      0.5409,
      0.7086,
      0.4716,
      0.5716,
      0.406,
      0.873,
      0.7866,
      0.7557,
      0.6827,
      0.7418,
      0.5577,
      0.497,
      0.5413,
      0.5023,
      0.5291,
      0.6451,
      0.6176,
      0.6537,
      0.6778,
      0.7715,
      0.6142,
      0.5013,
      0.5607,
      0.5614,
      0.6928,
      0.5906,
      0.3509,
      0.3962,
      0.648,
      0.5661,
      0.5507,
      0.5898,
      0.6645,
      0.7157,
      0.6186,
      0.6853,
      0.5981,
      0.6611,
      0.5989,
      0.5748,
      0.5578,
      0.5914,
      0.4428,
      0.6413,
      0.6957,
      0.5717,
      0.7318,
      0.7123,
      0.6589,
      0.5921,
      0.6349,
      0.7206,
      0.6539,
      0.6413,
      0.505,
      0.5003,
      0.3341,
      0.4544,
      0.4063,
      0.4762,
      0.5315,
      0.473,
      0.5775,
      0.4703,
      0.6067,
      0.4908,
      0.6902,
      0.6279,
      0.8253,
      0.6195,
      0.3734,
      0.1942,
      0,
      0,
      0,
      0,
      0.5543,
      0.4915,
      0.4866,
      0.4301,
      0.5102,
      0.3604,
      0.4221,
      0.4121,
      0.619,
      0.491,
      0.6073,
      0.5656,
      0.4641,
      0.434,
      0.5056,
      0.4918,
      0.7338,
      0.7592,
      0.8227,
      0.7133,
      0.5034,
      0.7004,
      0.7062,
      0.6551,
      0.5484,
      0.7765,
      0.6557,
      0.5992,
      0.6018,
      0.7418,
      0.6984,
      0.5573,
      0.4787,
      0.6029,
      0.5993,
      0.5235,
      0.5284,
      0.5334,
      0.7298,
      0.5717,
      0.5651,
      0.6786,
      0.4999,
      0.5672,
      0.5606,
      0.7284,
      0.8241,
      0.6185,
      0.5802,
      0.6134,
      0.6257,
      0.6447,
      0.6241,
      0.6384,
      0.5027,
      0.6129,
      0.5015,
      0.5081,
      0.6398,
      0.4975,
      0.5634,
      0.6146,
      0.5193,
      0.7776,
      0.7635,
      0.5437,
      0.7555,
      0.6611,
      0.7623,
      0.4745,
      0.4642,
      0.4669,
      0.4633,
      0.5699,
      0.7063,
      0.5415,
      0.5766,
      0.4418,
      0.4497,
      0.6148,
      0.5354,
      0.4898,
      0.5816,
      0.5643,
      0.5534,
      0.4385,
      0.4856,
      0.5162,
      0.5697,
      0.6723,
      0.6037,
      0.6022,
      0.5703,
      0.6532,
      0.5488,
      0.6353,
      0.6306,
      0.6171,
      0.6131,
      0.6072,
      0.5848,
      0.6885,
      0.6701,
      0.5254,
      0.5248,
      0.7706,
      0.6167,
      0.5826,
      0.6065,
      0.5855,
      0.6611,
      0.5413,
      0.654,
      0.6337,
      0.5925,
      0.5302,
      0.6985,
      0.6657,
      0.5891,
      0.3977,
      0.353,
      0.5179,
      0.6331,
      0.7371,
      0.595,
      0.6978,
      0.5903,
      0.4688,
      0.6132,
      0.5132,
      0.7109,
      0.7897,
      0.5293,
      0.6699,
      0.5063,
      0.5384,
      0.5448,
      0.5684,
      0.6773,
      0.6264,
      0.5101,
      0.6894,
      0.5145,
      0.3779,
      0.6424,
      0.8101,
      0.6712,
      0.6046,
      0.589,
      0.6086,
      0.6371,
      0.5772,
      0.5614,
      0.3897,
      0.7491,
      0.5795,
      0.5199,
      0.575,
      0.523,
      0.6053,
      0.7056,
      0.5684,
      0.5694,
      0.5942,
      0.6381,
      0.5891,
      0.8049,
      0.532,
      0.6801,
      0.4918,
      0.7404,
      0.5605,
      0.6606,
      0.608,
      0.5366,
      0.598,
      0.5466,
      0.6242,
      0.5344,
      0.7,
      0.6015,
      0.542,
      0.556,
      0.4944,
      0.476,
      0.5633,
      0.5584,
      0.6329,
      0.5973,
      0.6104,
      0.5754,
      0.6362,
      0.5049,
      0.6406,
      0.6279,
      0.6285,
      0.6161,
      0.5869,
      0.5611,
      0.6977,
      0.6659,
      0.4928,
      0.525,
      0.7374,
      0.6239,
      0.5903,
      0.5897,
      0.6017,
      0.6538,
      0.5257,
      0.6427,
      0.6187,
      0.6179,
      0.4308,
      0.4248,
      0.6987,
      0.4753,
      0.5084,
      0.3998,
      0.8419,
      0.541,
      0.615,
      0.5262,
      0.5953,
      0.6387,
      0.5795,
      0.5486,
      0.5437,
      0.3898,
      0.6185,
      0.6991,
      0.6564,
      0.6402,
      0.6224,
      0.5746,
      0.566,
      0.5415,
      0.6968,
      0.5073,
      0.7604,
      0.5844,
      0.7005,
      0.6377,
      0.5985,
      0.5274,
      0.6076,
      0.6133,
      0.5579,
      0.6376,
      0.6491,
      0.4696,
      0.4903,
      0.7881,
      0.6109,
      0.5999,
      0.585,
      0.6128,
      0.594,
      0.5359,
      0.6506,
      0.6246,
      0.6563,
      0.7194,
      0.5372,
      0.5384,
      0.7342,
      0.475,
      0.5523,
      0.6655,
      0.6309,
      0.5718,
      0.7299,
      0.597,
      0.6051,
      0.4972,
      0.6638,
      0.5455,
      0.5865,
      0.6623,
      0.5584,
      0.4101,
      0.5087,
      0.5,
      0.5613,
      0.6039,
      0.3997,
      0.5693,
      0.4651,
      0.5722,
      0.4667,
      0.4756,
      0.5096,
      0.6095,
      0.5408,
      0.1823,
      0.0247,
      0,
      0,
      0,
      0,
      0.5589,
      0.4631,
      0.3989,
      0.3936,
      0.458,
      0.2909,
      0.3067,
      0.3851,
      0.6071,
      0.5801,
      0.6183,
      0.5394,
      0.5219,
      0.3548,
      0.3383,
      0.5453,
      0.7628,
      0.4875,
      0.4272,
      0.4216,
      0.3696,
      0.454,
      0.47,
      0.4335,
      0.5713,
      0.5578,
      0.6232,
      0.5377,
      0.6734,
      0.8001,
      0.5524,
      0.4506,
      0.4579,
      0.5352,
      0.5031,
      0.3198,
      0.5363,
      0.5201,
      0.499,
      0.5335,
      0.5456,
      0.5192,
      0.5416,
      0.5264,
      0.5008,
      0.4724,
      0.6138,
      0.4955,
      0.5566,
      0.5711,
      0.717,
      0.5699,
      0.5079,
      0.6546,
      0.4511,
      0.6108,
      0.3894,
      0.5879,
      0.7582,
      0.5975,
      0.5594,
      0.6439,
      0.5422,
      0.4919,
      0.4947,
      0.597,
      0.4927,
      0.4159,
      0.4801,
      0.4691,
      0.4386,
      0.4727,
      0.4074,
      0.5745,
      0.531,
      0.6455,
      0.4616,
      0.5165,
      0.5117,
      0.5073,
      0.5486,
      0.5179,
      0.5398,
      0.5316,
      0.5164,
      0.4761,
      0.4217,
      0.5377,
      0.4944,
      0.5759,
      0.5592,
      0.532,
      0.6051,
      0.5904,
      0.5223,
      0.665,
      0.5552,
      0.5658,
      0.5927,
      0.573,
      0.5106,
      0.5602,
      0.5345,
      0.482,
      0.4631,
      0.5722,
      0.5574,
      0.5709,
      0.63,
      0.5679,
      0.5962,
      0.3992,
      0.5996,
      0.5806,
      0.4584,
      0.6117,
      0.4147,
      0.453,
      0.5021,
      0.4278,
      0.3388,
      0.3829,
      0.5433,
      0.5443,
      0.5599,
      0.4027,
      0.6658,
      0.435,
      0.4647,
      0.4805,
      0.4027,
      0.6283,
      0.4814,
      0.4756,
      0.4586,
      0.4986,
      0.4892,
      0.5425,
      0.4986,
      0.4982,
      0.525,
      0.5313,
      0.459,
      0.3421,
      0.6987,
      0.7065,
      0.5493,
      0.4716,
      0.6207,
      0.6047,
      0.4783,
      0.4886,
      0.4124,
      0.3678,
      0.6511,
      0.5108,
      0.5871,
      0.5597,
      0.5608,
      0.6391,
      0.4301,
      0.508,
      0.5166,
      0.5638,
      0.4989,
      0.5807,
      0.4515,
      0.396,
      0.5283,
      0.4246,
      0.6805,
      0.5546,
      0.4932,
      0.5681,
      0.4744,
      0.5844,
      0.4876,
      0.5175,
      0.5101,
      0.4669,
      0.5826,
      0.5046,
      0.5227,
      0.4931,
      0.3691,
      0.5439,
      0.5267,
      0.5533,
      0.5505,
      0.5224,
      0.6135,
      0.5917,
      0.4182,
      0.6618,
      0.4853,
      0.5845,
      0.5985,
      0.5654,
      0.5192,
      0.5519,
      0.5076,
      0.4568,
      0.4744,
      0.5679,
      0.5783,
      0.5395,
      0.6221,
      0.5414,
      0.594,
      0.462,
      0.5989,
      0.5448,
      0.4303,
      0.3739,
      0.3738,
      0.6188,
      0.6428,
      0.5751,
      0.3224,
      0.7268,
      0.7184,
      0.5988,
      0.4923,
      0.5796,
      0.7064,
      0.5264,
      0.5542,
      0.5329,
      0.4775,
      0.6126,
      0.6407,
      0.3797,
      0.5149,
      0.4957,
      0.5322,
      0.5978,
      0.5259,
      0.6747,
      0.5305,
      0.6679,
      0.4596,
      0.5444,
      0.5765,
      0.5128,
      0.54,
      0.5457,
      0.5745,
      0.5297,
      0.5914,
      0.5025,
      0.4477,
      0.4415,
      0.5675,
      0.5113,
      0.5203,
      0.6148,
      0.5541,
      0.5623,
      0.4925,
      0.5945,
      0.5328,
      0.452,
      0.5858,
      0.6498,
      0.6096,
      0.6751,
      0.4647,
      0.6227,
      0.5084,
      0.5344,
      0.5268,
      0.6332,
      0.5418,
      0.6226,
      0.4915,
      0.6117,
      0.5754,
      0.5458,
      0.5147,
      0.4714,
      0.4126,
      0.4415,
      0.4569,
      0.4734,
      0.535,
      0.4607,
      0.5805,
      0.4522,
      0.5956,
      0.3953,
      0.4751,
      0.5162,
      0.3736,
      0.5346,
      0.1718,
      0.0595,
      0,
      0,
      0,
      0,
      0.5178,
      0.4312,
      0.4703,
      0.3523,
      0.4614,
      0.2826,
      0.3159,
      0.3791,
      0.6181,
      0.6164,
      0.6001,
      0.6616,
      0.5758,
      0.483,
      0.5112,
      0.5175,
      0.7663,
      0.4077,
      0.3754,
      0.505,
      0.3986,
      0.4494,
      0.405,
      0.3994,
      0.6145,
      0.4761,
      0.6435,
      0.5185,
      0.6629,
      0.434,
      0.4613,
      0.4789,
      0.4968,
      0.5252,
      0.4457,
      0.4241,
      0.4883,
      0.5684,
      0.5128,
      0.5177,
      0.5602,
      0.4623,
      0.4665,
      0.5321,
      0.4398,
      0.4288,
      0.634,
      0.5237,
      0.6066,
      0.6479,
      0.7179,
      0.4962,
      0.5161,
      0.6115,
      0.4508,
      0.4645,
      0.3594,
      0.524,
      0.6024,
      0.5429,
      0.6011,
      0.6472,
      0.3981,
      0.5185,
      0.5195,
      0.6109,
      0.4833,
      0.3828,
      0.4496,
      0.4274,
      0.4437,
      0.5165,
      0.4318,
      0.619,
      0.4624,
      0.8212,
      0.5484,
      0.7098,
      0.5249,
      0.4848,
      0.5754,
      0.5941,
      0.5813,
      0.4902,
      0.4403,
      0.5115,
      0.4796,
      0.6254,
      0.481,
      0.5304,
      0.5356,
      0.4925,
      0.5801,
      0.4702,
      0.5777,
      0.7049,
      0.5263,
      0.5999,
      0.6068,
      0.5944,
      0.5714,
      0.6118,
      0.48,
      0.494,
      0.4909,
      0.588,
      0.518,
      0.5932,
      0.6324,
      0.5582,
      0.5674,
      0.4741,
      0.5624,
      0.554,
      0.5707,
      0.4833,
      0.4167,
      0.4409,
      0.5644,
      0.4158,
      0.3219,
      0.4359,
      0.5892,
      0.4511,
      0.5723,
      0.4712,
      0.6776,
      0.498,
      0.4919,
      0.4528,
      0.4501,
      0.5402,
      0.4688,
      0.4292,
      0.5597,
      0.4962,
      0.5587,
      0.5233,
      0.5643,
      0.4745,
      0.4939,
      0.5003,
      0.4868,
      0.4333,
      0.7203,
      0.5045,
      0.5672,
      0.4801,
      0.6779,
      0.5246,
      0.5232,
      0.5661,
      0.3652,
      0.3453,
      0.5016,
      0.5067,
      0.6162,
      0.5213,
      0.5955,
      0.6572,
      0.4629,
      0.5042,
      0.4744,
      0.5847,
      0.4428,
      0.4216,
      0.5318,
      0.4489,
      0.4568,
      0.4983,
      0.4961,
      0.6011,
      0.5704,
      0.6301,
      0.4841,
      0.5882,
      0.5152,
      0.4402,
      0.5418,
      0.4893,
      0.63,
      0.4659,
      0.434,
      0.5057,
      0.4564,
      0.6367,
      0.5224,
      0.5482,
      0.5126,
      0.442,
      0.5383,
      0.4798,
      0.4937,
      0.7011,
      0.5273,
      0.5907,
      0.6046,
      0.6018,
      0.584,
      0.607,
      0.4862,
      0.4279,
      0.4674,
      0.6165,
      0.5236,
      0.5756,
      0.6245,
      0.5486,
      0.5893,
      0.467,
      0.5134,
      0.5278,
      0.569,
      0.2912,
      0.2642,
      0.5411,
      0.413,
      0.5659,
      0.3811,
      0.5757,
      0.6543,
      0.5209,
      0.4965,
      0.6296,
      0.4996,
      0.5567,
      0.5797,
      0.5972,
      0.6305,
      0.7411,
      0.6836,
      0.44,
      0.5982,
      0.4897,
      0.5443,
      0.5283,
      0.5705,
      0.4748,
      0.4865,
      0.5002,
      0.4754,
      0.424,
      0.6267,
      0.5416,
      0.5897,
      0.6079,
      0.5985,
      0.5717,
      0.6196,
      0.4984,
      0.3991,
      0.4647,
      0.6056,
      0.4983,
      0.5438,
      0.6249,
      0.5702,
      0.544,
      0.5396,
      0.5304,
      0.5079,
      0.5643,
      0.4237,
      0.5645,
      0.4726,
      0.4242,
      0.5001,
      0.6142,
      0.5168,
      0.6322,
      0.5459,
      0.6687,
      0.5297,
      0.5497,
      0.4811,
      0.5303,
      0.5835,
      0.5465,
      0.5813,
      0.4915,
      0.4616,
      0.4786,
      0.5046,
      0.5409,
      0.5882,
      0.4195,
      0.5764,
      0.4613,
      0.5431,
      0.4455,
      0.4164,
      0.5724,
      0.3833,
      0.5952,
      0.1876,
      0.0346,
      0,
      0,
      0,
      0,
      0.5626,
      0.4565,
      0.4391,
      0.3021,
      0.4267,
      0.2792,
      0.2679,
      0.3938,
      0.67,
      0.6143,
      0.6249,
      0.594,
      0.5703,
      0.4983,
      0.4639,
      0.4631,
      0.6723,
      0.4817,
      0.3863,
      0.6051,
      0.476,
      0.4645,
      0.4533,
      0.4352,
      0.5119,
      0.5604,
      0.6728,
      0.4645,
      0.6307,
      0.3431,
      0.5837,
      0.4857,
      0.5324,
      0.5214,
      0.4795,
      0.4015,
      0.4793,
      0.4473,
      0.4564,
      0.4098,
      0.4927,
      0.4557,
      0.5257,
      0.515,
      0.4557,
      0.3923,
      0.5745,
      0.473,
      0.5298,
      0.6252,
      0.6524,
      0.4907,
      0.4351,
      0.5749,
      0.4015,
      0.5445,
      0.4527,
      0.5784,
      0.5621,
      0.5224,
      0.5166,
      0.6748,
      0.5274,
      0.5372,
      0.5024,
      0.6002,
      0.4017,
      0.3066,
      0.479,
      0.4874,
      0.4607,
      0.4393,
      0.4032,
      0.5185,
      0.5728,
      0.6241,
      0.5116,
      0.6415,
      0.4846,
      0.591,
      0.5896,
      0.6807,
      0.6518,
      0.4814,
      0.4999,
      0.5068,
      0.4194,
      0.466,
      0.448,
      0.5393,
      0.4902,
      0.5533,
      0.609,
      0.5358,
      0.5784,
      0.7205,
      0.5378,
      0.5666,
      0.5849,
      0.5848,
      0.5415,
      0.5785,
      0.5531,
      0.4183,
      0.4866,
      0.6471,
      0.5524,
      0.5487,
      0.6002,
      0.5085,
      0.6207,
      0.4912,
      0.54,
      0.6008,
      0.5252,
      0.4066,
      0.4254,
      0.4888,
      0.5408,
      0.4259,
      0.3296,
      0.4225,
      0.5419,
      0.572,
      0.5322,
      0.4933,
      0.6491,
      0.4536,
      0.5886,
      0.4932,
      0.4996,
      0.455,
      0.4916,
      0.4595,
      0.6036,
      0.4845,
      0.3833,
      0.4591,
      0.4888,
      0.4661,
      0.5494,
      0.4886,
      0.4878,
      0.3792,
      0.6734,
      0.456,
      0.5289,
      0.486,
      0.6132,
      0.4677,
      0.5133,
      0.6253,
      0.3823,
      0.3278,
      0.4056,
      0.5799,
      0.5686,
      0.458,
      0.5311,
      0.615,
      0.4734,
      0.4469,
      0.5065,
      0.643,
      0.4305,
      0.3394,
      0.6093,
      0.5196,
      0.4678,
      0.4603,
      0.4302,
      0.5489,
      0.5404,
      0.5285,
      0.4407,
      0.4734,
      0.4699,
      0.5903,
      0.5747,
      0.6135,
      0.6096,
      0.518,
      0.5193,
      0.511,
      0.4491,
      0.502,
      0.4452,
      0.5894,
      0.5009,
      0.5535,
      0.5968,
      0.5381,
      0.4575,
      0.7027,
      0.563,
      0.5672,
      0.5802,
      0.5948,
      0.5047,
      0.5633,
      0.5093,
      0.4073,
      0.4737,
      0.6647,
      0.5867,
      0.5526,
      0.6072,
      0.4856,
      0.5717,
      0.4978,
      0.5802,
      0.6002,
      0.5227,
      0.4323,
      0.3376,
      0.5573,
      0.4725,
      0.5403,
      0.3761,
      0.5536,
      0.552,
      0.4989,
      0.5025,
      0.5282,
      0.4613,
      0.6119,
      0.605,
      0.5926,
      0.5751,
      0.5366,
      0.6782,
      0.4145,
      0.5435,
      0.391,
      0.4499,
      0.418,
      0.4574,
      0.4077,
      0.4964,
      0.4684,
      0.4586,
      0.4251,
      0.5869,
      0.5139,
      0.5622,
      0.5106,
      0.6056,
      0.5287,
      0.5507,
      0.5148,
      0.3954,
      0.4913,
      0.6633,
      0.6218,
      0.5184,
      0.6083,
      0.5023,
      0.5647,
      0.515,
      0.5517,
      0.5314,
      0.4895,
      0.4583,
      0.6249,
      0.5653,
      0.4715,
      0.4607,
      0.6177,
      0.5285,
      0.5675,
      0.5798,
      0.663,
      0.5464,
      0.5214,
      0.4084,
      0.6004,
      0.589,
      0.5981,
      0.5437,
      0.49,
      0.2879,
      0.4849,
      0.3889,
      0.4987,
      0.4998,
      0.4463,
      0.5761,
      0.4464,
      0.5315,
      0.3489,
      0.4196,
      0.4585,
      0.4776,
      0.5817,
      0.0944,
      0.0293,
      0,
      0,
      0,
      0,
      0.5534,
      0.4552,
      0.4367,
      0.3581,
      0.4404,
      0.3281,
      0.3671,
      0.4629,
      0.647,
      0.5518,
      0.6134,
      0.5469,
      0.5397,
      0.4524,
      0.513,
      0.5155,
      0.7018,
      0.4967,
      0.3809,
      0.5908,
      0.4625,
      0.4281,
      0.4186,
      0.4674,
      0.5634,
      0.4907,
      0.7801,
      0.5303,
      0.7021,
      0.4395,
      0.5723,
      0.4509,
      0.4718,
      0.5373,
      0.5404,
      0.5131,
      0.4414,
      0.5904,
      0.529,
      0.5261,
      0.6086,
      0.3845,
      0.4861,
      0.505,
      0.5458,
      0.4267,
      0.6016,
      0.5536,
      0.6548,
      0.5073,
      0.5958,
      0.5451,
      0.5463,
      0.5369,
      0.4838,
      0.618,
      0.5262,
      0.6441,
      0.5338,
      0.5666,
      0.5098,
      0.7623,
      0.5019,
      0.344,
      0.4327,
      0.5383,
      0.3937,
      0.3684,
      0.4648,
      0.4744,
      0.4015,
      0.4151,
      0.4518,
      0.6092,
      0.4792,
      0.6128,
      0.4822,
      0.6154,
      0.4105,
      0.5544,
      0.543,
      0.6047,
      0.6516,
      0.5296,
      0.4948,
      0.5131,
      0.4754,
      0.4816,
      0.5694,
      0.6013,
      0.4692,
      0.4911,
      0.5701,
      0.4893,
      0.5489,
      0.7002,
      0.5279,
      0.6563,
      0.6303,
      0.6155,
      0.5412,
      0.5454,
      0.4996,
      0.5102,
      0.5356,
      0.5145,
      0.6265,
      0.5452,
      0.6213,
      0.5594,
      0.549,
      0.4562,
      0.562,
      0.5281,
      0.4866,
      0.4963,
      0.5399,
      0.4448,
      0.4763,
      0.5085,
      0.6666,
      0.4457,
      0.548,
      0.4814,
      0.5484,
      0.4307,
      0.4888,
      0.4801,
      0.6115,
      0.4692,
      0.4474,
      0.4411,
      0.7495,
      0.5248,
      0.5506,
      0.4837,
      0.5066,
      0.5531,
      0.5867,
      0.4412,
      0.5119,
      0.4739,
      0.5189,
      0.451,
      0.6132,
      0.5597,
      0.6387,
      0.4832,
      0.665,
      0.5021,
      0.5693,
      0.602,
      0.4435,
      0.3554,
      0.4232,
      0.6212,
      0.5133,
      0.4412,
      0.4721,
      0.6228,
      0.4303,
      0.4177,
      0.4166,
      0.5776,
      0.4962,
      0.4048,
      0.4948,
      0.4876,
      0.377,
      0.4988,
      0.4225,
      0.5727,
      0.5543,
      0.4967,
      0.3853,
      0.6158,
      0.52,
      0.5773,
      0.5257,
      0.5771,
      0.6661,
      0.5322,
      0.4693,
      0.5094,
      0.4602,
      0.4841,
      0.5542,
      0.6644,
      0.4923,
      0.4914,
      0.5618,
      0.4909,
      0.4944,
      0.6914,
      0.5684,
      0.6467,
      0.6371,
      0.6105,
      0.5512,
      0.5659,
      0.4981,
      0.4834,
      0.5303,
      0.4844,
      0.6435,
      0.547,
      0.623,
      0.5333,
      0.5779,
      0.4444,
      0.5295,
      0.538,
      0.4953,
      0.47,
      0.2887,
      0.5955,
      0.4911,
      0.6242,
      0.4058,
      0.689,
      0.5741,
      0.4875,
      0.487,
      0.593,
      0.5778,
      0.6289,
      0.5624,
      0.5642,
      0.5192,
      0.7767,
      0.656,
      0.4683,
      0.621,
      0.6471,
      0.5375,
      0.6041,
      0.6352,
      0.4172,
      0.4748,
      0.496,
      0.6797,
      0.4383,
      0.6505,
      0.562,
      0.6702,
      0.574,
      0.592,
      0.5266,
      0.5422,
      0.5056,
      0.4821,
      0.5322,
      0.4968,
      0.6155,
      0.559,
      0.6219,
      0.5696,
      0.5636,
      0.4769,
      0.5139,
      0.4702,
      0.5379,
      0.503,
      0.591,
      0.5594,
      0.4742,
      0.4795,
      0.6763,
      0.578,
      0.5591,
      0.7211,
      0.6363,
      0.5456,
      0.5553,
      0.4188,
      0.5477,
      0.5559,
      0.5165,
      0.539,
      0.4986,
      0.359,
      0.4959,
      0.4679,
      0.5033,
      0.548,
      0.6544,
      0.4845,
      0.3653,
      0.4217,
      0.3984,
      0.4399,
      0.4799,
      0.4431,
      0.5658,
      0.0888,
      0,
      0,
      0,
      0,
      0,
      0.5639,
      0.4494,
      0.427,
      0.3916,
      0.4736,
      0.3943,
      0.4833,
      0.5127,
      0.6117,
      0.5612,
      0.5998,
      0.5844,
      0.5303,
      0.4665,
      0.4557,
      0.476,
      0.6626,
      0.4939,
      0.4616,
      0.6381,
      0.5636,
      0.4883,
      0.4698,
      0.4973,
      0.5883,
      0.5612,
      0.8063,
      0.5913,
      0.714,
      0.4903,
      0.5242,
      0.4692,
      0.5183,
      0.5462,
      0.5492,
      0.6279,
      0.5009,
      0.6136,
      0.4987,
      0.5804,
      0.6931,
      0.4533,
      0.5576,
      0.5569,
      0.5451,
      0.3566,
      0.5193,
      0.6202,
      0.6458,
      0.5083,
      0.6693,
      0.5801,
      0.5188,
      0.4709,
      0.5779,
      0.6087,
      0.5323,
      0.7056,
      0.5613,
      0.5219,
      0.5798,
      0.6518,
      0.6379,
      0.4593,
      0.4127,
      0.4883,
      0.5022,
      0.4152,
      0.5651,
      0.5003,
      0.5202,
      0.4185,
      0.5307,
      0.676,
      0.5751,
      0.6169,
      0.4713,
      0.5967,
      0.5135,
      0.4979,
      0.6573,
      0.5298,
      0.594,
      0.5433,
      0.4871,
      0.5346,
      0.5324,
      0.5045,
      0.5916,
      0.6945,
      0.6388,
      0.454,
      0.59,
      0.5379,
      0.4838,
      0.6439,
      0.5485,
      0.6081,
      0.5291,
      0.6624,
      0.5598,
      0.5621,
      0.5645,
      0.5907,
      0.4861,
      0.5538,
      0.6949,
      0.6139,
      0.5289,
      0.514,
      0.5498,
      0.4734,
      0.6099,
      0.5469,
      0.5011,
      0.5545,
      0.5545,
      0.5605,
      0.6033,
      0.7181,
      0.6085,
      0.4878,
      0.5599,
      0.5861,
      0.466,
      0.4409,
      0.6606,
      0.4622,
      0.601,
      0.372,
      0.4106,
      0.5516,
      0.7038,
      0.5377,
      0.5845,
      0.5749,
      0.7492,
      0.5816,
      0.6741,
      0.4738,
      0.5541,
      0.4919,
      0.4791,
      0.4076,
      0.5936,
      0.5828,
      0.639,
      0.5549,
      0.6959,
      0.5655,
      0.5634,
      0.577,
      0.4829,
      0.3218,
      0.4668,
      0.6823,
      0.5425,
      0.5385,
      0.5049,
      0.6168,
      0.4809,
      0.4074,
      0.5283,
      0.4466,
      0.5245,
      0.5555,
      0.5777,
      0.5085,
      0.4964,
      0.449,
      0.4795,
      0.5682,
      0.5447,
      0.5346,
      0.4394,
      0.62,
      0.3936,
      0.4787,
      0.5131,
      0.5664,
      0.5941,
      0.5628,
      0.5051,
      0.5136,
      0.5245,
      0.4045,
      0.5951,
      0.694,
      0.6299,
      0.4506,
      0.5948,
      0.5498,
      0.3942,
      0.6416,
      0.5467,
      0.6288,
      0.5471,
      0.6589,
      0.5698,
      0.5371,
      0.5413,
      0.5053,
      0.4644,
      0.5152,
      0.6932,
      0.5974,
      0.4971,
      0.5172,
      0.5486,
      0.4657,
      0.5518,
      0.5276,
      0.5173,
      0.4232,
      0.4343,
      0.6134,
      0.5242,
      0.6486,
      0.506,
      0.6798,
      0.5101,
      0.5422,
      0.5296,
      0.5307,
      0.7447,
      0.5439,
      0.4971,
      0.5399,
      0.4923,
      0.5321,
      0.6773,
      0.4073,
      0.5261,
      0.558,
      0.4892,
      0.6163,
      0.6427,
      0.4402,
      0.6922,
      0.5274,
      0.578,
      0.4514,
      0.5725,
      0.5632,
      0.6527,
      0.5768,
      0.6393,
      0.5734,
      0.6164,
      0.5536,
      0.4988,
      0.461,
      0.5247,
      0.6856,
      0.5888,
      0.5146,
      0.5201,
      0.547,
      0.5095,
      0.5271,
      0.5394,
      0.5195,
      0.5589,
      0.6041,
      0.6096,
      0.4971,
      0.5524,
      0.5927,
      0.6141,
      0.5797,
      0.7462,
      0.5546,
      0.5148,
      0.5244,
      0.4284,
      0.5213,
      0.5267,
      0.5419,
      0.6241,
      0.5864,
      0.4716,
      0.5328,
      0.5371,
      0.5309,
      0.6157,
      0.7095,
      0.5685,
      0.4136,
      0.5195,
      0.4057,
      0.4357,
      0.5149,
      0.4028,
      0.6222,
      0.1898,
      0,
      0,
      0,
      0,
      0,
      0.5606,
      0.4459,
      0.447,
      0.4556,
      0.3788,
      0.4252,
      0.4343,
      0.3696,
      0.5318,
      0.4663,
      0.5111,
      0.4716,
      0.5019,
      0.4518,
      0.4215,
      0.3769,
      0.5143,
      0.7,
      0.5631,
      0.8355,
      0.8047,
      0.6988,
      0.6098,
      0.5354,
      0.6367,
      0.5189,
      0.7562,
      0.7927,
      0.5819,
      0.5109,
      0.4828,
      0.6383,
      0.4947,
      0.7494,
      0.7433,
      0.6564,
      0.7285,
      0.7188,
      0.7152,
      0.6457,
      0.5355,
      0.7118,
      0.6852,
      0.5453,
      0.7021,
      0.4219,
      0.5952,
      0.5103,
      0.6306,
      0.5174,
      0.7651,
      0.7553,
      0.7355,
      0.754,
      0.7382,
      0.7161,
      0.7773,
      0.5719,
      0.5073,
      0.4538,
      0.5243,
      0.5883,
      0.5397,
      0.7016,
      0.5677,
      0.546,
      0.6108,
      0.6602,
      0.7509,
      0.7903,
      0.6885,
      0.6026,
      0.6944,
      0.6426,
      0.6955,
      0.6718,
      0.7465,
      0.4909,
      0.4816,
      0.5376,
      0.8239,
      0.5108,
      0.7674,
      0.7492,
      0.7593,
      0.669,
      0.6918,
      0.6791,
      0.655,
      0.5285,
      0.5764,
      0.487,
      0.5924,
      0.5762,
      0.505,
      0.711,
      0.5273,
      0.6305,
      0.5469,
      0.7819,
      0.7452,
      0.7645,
      0.7207,
      0.7466,
      0.7899,
      0.7748,
      0.5837,
      0.5617,
      0.5419,
      0.4849,
      0.6121,
      0.4547,
      0.6279,
      0.6304,
      0.4443,
      0.7075,
      0.6933,
      0.8546,
      0.8001,
      0.6838,
      0.5815,
      0.6145,
      0.7366,
      0.7403,
      0.5741,
      0.7195,
      0.6317,
      0.483,
      0.5537,
      0.5036,
      0.579,
      0.7653,
      0.7405,
      0.6853,
      0.7086,
      0.7039,
      0.6534,
      0.6082,
      0.729,
      0.6392,
      0.4671,
      0.5559,
      0.686,
      0.4371,
      0.6356,
      0.5477,
      0.6871,
      0.5569,
      0.7891,
      0.7801,
      0.7259,
      0.7621,
      0.7383,
      0.698,
      0.7836,
      0.5754,
      0.5932,
      0.4175,
      0.5212,
      0.6132,
      0.4725,
      0.5057,
      0.6523,
      0.4726,
      0.6996,
      0.7646,
      0.7653,
      0.809,
      0.6498,
      0.6033,
      0.5119,
      0.5865,
      0.6305,
      0.5813,
      0.5689,
      0.5469,
      0.428,
      0.4693,
      0.6092,
      0.5547,
      0.7833,
      0.7522,
      0.7631,
      0.6897,
      0.6823,
      0.6677,
      0.6455,
      0.5821,
      0.5671,
      0.4846,
      0.5637,
      0.5824,
      0.5041,
      0.6963,
      0.5386,
      0.6274,
      0.5321,
      0.7887,
      0.7503,
      0.762,
      0.7249,
      0.7568,
      0.7932,
      0.7823,
      0.5775,
      0.5726,
      0.5378,
      0.4755,
      0.6349,
      0.4769,
      0.6326,
      0.6217,
      0.4584,
      0.3776,
      0.3344,
      0.445,
      0.4955,
      0.7084,
      0.4223,
      0.49,
      0.6246,
      0.4546,
      0.4717,
      0.5565,
      0.6605,
      0.4806,
      0.542,
      0.5541,
      0.4975,
      0.7445,
      0.7285,
      0.6327,
      0.6964,
      0.6668,
      0.6846,
      0.6886,
      0.5728,
      0.534,
      0.7531,
      0.4932,
      0.5408,
      0.5503,
      0.6056,
      0.4814,
      0.6331,
      0.5595,
      0.7805,
      0.751,
      0.7662,
      0.7236,
      0.7555,
      0.7997,
      0.7795,
      0.6084,
      0.4609,
      0.5326,
      0.4962,
      0.6419,
      0.481,
      0.6146,
      0.6037,
      0.4769,
      0.6985,
      0.6338,
      0.6237,
      0.7879,
      0.6882,
      0.5948,
      0.7092,
      0.6186,
      0.6092,
      0.6968,
      0.5935,
      0.5681,
      0.2889,
      0.6248,
      0.5181,
      0.4339,
      0.8347,
      0.7975,
      0.8242,
      0.7436,
      0.8118,
      0.6974,
      0.7274,
      0.6203,
      0.5585,
      0.4052,
      0.5107,
      0.2764,
      0.4283,
      0.6208,
      0.3812,
      0.6626,
      0.1493,
      0,
      0,
      0,
      0,
      0,
      0.5158,
      0.4578,
      0.3791,
      0.4851,
      0.4676,
      0.2969,
      0.4836,
      0.3458,
      0.3852,
      0.3853,
      0.4085,
      0.4038,
      0.3806,
      0.3669,
      0.3892,
      0.4702,
      0.5604,
      0.7203,
      0.5096,
      0.7618,
      0.7193,
      0.7045,
      0.7381,
      0.6265,
      0.58,
      0.8392,
      0.7183,
      0.6516,
      0.5937,
      0.5839,
      0.701,
      0.6063,
      0.4953,
      0.7276,
      0.6938,
      0.5603,
      0.6844,
      0.614,
      0.7471,
      0.6876,
      0.4863,
      0.7841,
      0.5288,
      0.6518,
      0.7321,
      0.5837,
      0.6725,
      0.456,
      0.624,
      0.5017,
      0.673,
      0.6562,
      0.6216,
      0.6569,
      0.644,
      0.648,
      0.627,
      0.4355,
      0.5104,
      0.537,
      0.4889,
      0.5846,
      0.6051,
      0.7481,
      0.7693,
      0.4894,
      0.7327,
      0.7191,
      0.8216,
      0.6943,
      0.635,
      0.5021,
      0.555,
      0.5202,
      0.6674,
      0.5182,
      0.536,
      0.4732,
      0.4554,
      0.7094,
      0.6853,
      0.5041,
      0.6598,
      0.6567,
      0.6204,
      0.6208,
      0.5548,
      0.6319,
      0.6769,
      0.5346,
      0.5167,
      0.5079,
      0.5758,
      0.5461,
      0.5637,
      0.7193,
      0.4773,
      0.6417,
      0.581,
      0.7203,
      0.6715,
      0.7188,
      0.6632,
      0.6544,
      0.6911,
      0.656,
      0.5437,
      0.5525,
      0.4954,
      0.4808,
      0.6019,
      0.4401,
      0.4929,
      0.6653,
      0.4714,
      0.6291,
      0.7371,
      0.7238,
      0.7312,
      0.635,
      0.4573,
      0.57,
      0.8105,
      0.8609,
      0.596,
      0.8326,
      0.5741,
      0.4504,
      0.4954,
      0.5111,
      0.6463,
      0.5985,
      0.6571,
      0.7851,
      0.6617,
      0.5886,
      0.6165,
      0.6349,
      0.9052,
      0.721,
      0.5143,
      0.7888,
      0.663,
      0.4581,
      0.6616,
      0.7277,
      0.6614,
      0.5903,
      0.7514,
      0.6817,
      0.6627,
      0.6599,
      0.6447,
      0.6025,
      0.7197,
      0.567,
      0.4691,
      0.4851,
      0.4623,
      0.5516,
      0.6365,
      0.5881,
      0.5363,
      0.5225,
      0.609,
      0.5015,
      0.8086,
      0.7277,
      0.8119,
      0.5393,
      0.5604,
      0.5165,
      0.6676,
      0.4937,
      0.5617,
      0.5449,
      0.3894,
      0.6203,
      0.5663,
      0.5044,
      0.6638,
      0.6378,
      0.629,
      0.6322,
      0.5607,
      0.6141,
      0.6807,
      0.4973,
      0.5375,
      0.5276,
      0.555,
      0.5553,
      0.4988,
      0.7013,
      0.4565,
      0.6462,
      0.589,
      0.7212,
      0.6821,
      0.7219,
      0.6534,
      0.6582,
      0.675,
      0.6565,
      0.5685,
      0.5701,
      0.4854,
      0.5024,
      0.6032,
      0.4269,
      0.6102,
      0.6567,
      0.4532,
      0.4991,
      0.4754,
      0.4528,
      0.487,
      0.584,
      0.4814,
      0.5251,
      0.3378,
      0.3551,
      0.4408,
      0.5336,
      0.4429,
      0.4939,
      0.4838,
      0.4736,
      0.5417,
      0.6841,
      0.6613,
      0.4882,
      0.6489,
      0.547,
      0.6369,
      0.6581,
      0.4212,
      0.6273,
      0.701,
      0.6448,
      0.5475,
      0.5277,
      0.5904,
      0.4393,
      0.6497,
      0.5848,
      0.7085,
      0.6734,
      0.7121,
      0.6349,
      0.6543,
      0.6859,
      0.6648,
      0.5285,
      0.4937,
      0.4805,
      0.4632,
      0.5925,
      0.3831,
      0.5921,
      0.6463,
      0.4702,
      0.6307,
      0.5526,
      0.5231,
      0.719,
      0.6815,
      0.6284,
      0.6455,
      0.5394,
      0.636,
      0.6785,
      0.5249,
      0.5455,
      0.3513,
      0.5831,
      0.4887,
      0.4483,
      0.6766,
      0.7096,
      0.6765,
      0.6828,
      0.6993,
      0.6638,
      0.7316,
      0.4623,
      0.6077,
      0.4327,
      0.5901,
      0.3138,
      0.4353,
      0.5539,
      0.4452,
      0.6372,
      0.2195,
      0.0821,
      0,
      0,
      0,
      0,
      0.5416,
      0.4258,
      0.2831,
      0.3871,
      0.359,
      0.3676,
      0.3678,
      0.2636,
      0.3989,
      0.3765,
      0.3502,
      0.372,
      0.3821,
      0.3084,
      0.3411,
      0.3027,
      0.6161,
      0.4814,
      0.4475,
      0.5071,
      0.5176,
      0.5376,
      0.491,
      0.438,
      0.5366,
      0.7761,
      0.6303,
      0.505,
      0.5281,
      0.725,
      0.5046,
      0.3644,
      0.4484,
      0.5855,
      0.5956,
      0.4623,
      0.5372,
      0.5182,
      0.5867,
      0.6178,
      0.4457,
      0.5111,
      0.6028,
      0.5146,
      0.5646,
      0.356,
      0.5333,
      0.4014,
      0.5624,
      0.5483,
      0.5876,
      0.5732,
      0.4932,
      0.5993,
      0.5027,
      0.6746,
      0.4519,
      0.4965,
      0.629,
      0.6126,
      0.5063,
      0.462,
      0.4562,
      0.4581,
      0.4718,
      0.4612,
      0.5511,
      0.4503,
      0.5665,
      0.5117,
      0.5327,
      0.4772,
      0.4471,
      0.505,
      0.517,
      0.5157,
      0.523,
      0.4656,
      0.4651,
      0.4882,
      0.5003,
      0.6443,
      0.6533,
      0.5855,
      0.5502,
      0.6171,
      0.5171,
      0.5609,
      0.6009,
      0.4919,
      0.5138,
      0.496,
      0.5348,
      0.5302,
      0.525,
      0.7119,
      0.4736,
      0.5691,
      0.5689,
      0.5152,
      0.5919,
      0.5567,
      0.5988,
      0.4802,
      0.46,
      0.6338,
      0.5349,
      0.5429,
      0.5664,
      0.4731,
      0.5219,
      0.4439,
      0.551,
      0.6369,
      0.4272,
      0.63,
      0.4822,
      0.516,
      0.5462,
      0.4773,
      0.3657,
      0.4059,
      0.586,
      0.7348,
      0.572,
      0.4896,
      0.5241,
      0.5098,
      0.4921,
      0.475,
      0.3665,
      0.6084,
      0.5934,
      0.5405,
      0.5856,
      0.5378,
      0.602,
      0.5986,
      0.5374,
      0.5463,
      0.5332,
      0.5249,
      0.4919,
      0.3831,
      0.6441,
      0.7256,
      0.5204,
      0.5205,
      0.6373,
      0.6813,
      0.5737,
      0.6225,
      0.5634,
      0.4376,
      0.6335,
      0.4933,
      0.4079,
      0.3967,
      0.4579,
      0.6132,
      0.4163,
      0.477,
      0.4445,
      0.4753,
      0.5666,
      0.4968,
      0.4362,
      0.5304,
      0.6241,
      0.4766,
      0.5386,
      0.5083,
      0.6109,
      0.519,
      0.4282,
      0.5296,
      0.4688,
      0.4424,
      0.4533,
      0.563,
      0.6679,
      0.5924,
      0.5515,
      0.6201,
      0.4941,
      0.5805,
      0.5917,
      0.5583,
      0.5213,
      0.4936,
      0.5319,
      0.5059,
      0.5372,
      0.6996,
      0.4799,
      0.5629,
      0.574,
      0.5336,
      0.5941,
      0.5532,
      0.5778,
      0.506,
      0.5029,
      0.5977,
      0.5244,
      0.5481,
      0.5823,
      0.4528,
      0.5349,
      0.4461,
      0.4583,
      0.6296,
      0.4571,
      0.2848,
      0.3902,
      0.5017,
      0.441,
      0.5915,
      0.3583,
      0.5767,
      0.3157,
      0.3198,
      0.3979,
      0.5445,
      0.5682,
      0.5359,
      0.4175,
      0.4403,
      0.451,
      0.707,
      0.5778,
      0.3602,
      0.6381,
      0.5215,
      0.6409,
      0.6011,
      0.4815,
      0.6351,
      0.4673,
      0.6763,
      0.5021,
      0.3695,
      0.5574,
      0.4792,
      0.5882,
      0.6147,
      0.4894,
      0.5717,
      0.5034,
      0.5798,
      0.484,
      0.5242,
      0.5989,
      0.492,
      0.4864,
      0.5538,
      0.4849,
      0.5141,
      0.4093,
      0.4896,
      0.606,
      0.4605,
      0.5896,
      0.5437,
      0.5081,
      0.6224,
      0.5747,
      0.5545,
      0.5399,
      0.5551,
      0.7317,
      0.6688,
      0.4899,
      0.5213,
      0.4492,
      0.5842,
      0.4279,
      0.5265,
      0.5892,
      0.5899,
      0.5679,
      0.5912,
      0.5825,
      0.6086,
      0.6324,
      0.5391,
      0.4989,
      0.4609,
      0.5701,
      0.3701,
      0.4933,
      0.4953,
      0.4649,
      0.518,
      0.145,
      0.047,
      0,
      0,
      0,
      0,
      0.5049,
      0.4911,
      0.3263,
      0.3761,
      0.3506,
      0.3765,
      0.4009,
      0.3583,
      0.4763,
      0.314,
      0.3226,
      0.286,
      0.2862,
      0.2736,
      0.2594,
      0.2445,
      0.6617,
      0.4824,
      0.3786,
      0.5335,
      0.4735,
      0.5623,
      0.4379,
      0.4295,
      0.5157,
      0.5887,
      0.6309,
      0.5028,
      0.5299,
      0.442,
      0.4819,
      0.3553,
      0.4939,
      0.5594,
      0.5596,
      0.4575,
      0.4387,
      0.5048,
      0.515,
      0.5347,
      0.4032,
      0.5182,
      0.4718,
      0.4624,
      0.5282,
      0.3347,
      0.5048,
      0.4354,
      0.6402,
      0.582,
      0.7213,
      0.5397,
      0.4812,
      0.5503,
      0.4862,
      0.5586,
      0.4594,
      0.4579,
      0.5061,
      0.497,
      0.4901,
      0.516,
      0.4074,
      0.3846,
      0.5094,
      0.4771,
      0.502,
      0.3661,
      0.5567,
      0.4871,
      0.5686,
      0.3923,
      0.3849,
      0.5626,
      0.5517,
      0.7643,
      0.5054,
      0.4465,
      0.5002,
      0.4838,
      0.4878,
      0.6077,
      0.577,
      0.5726,
      0.5199,
      0.5479,
      0.4321,
      0.5533,
      0.5458,
      0.4843,
      0.5217,
      0.4697,
      0.5433,
      0.5341,
      0.5939,
      0.6789,
      0.4743,
      0.6236,
      0.5435,
      0.6914,
      0.4775,
      0.4998,
      0.5218,
      0.4882,
      0.4339,
      0.58,
      0.522,
      0.4122,
      0.5672,
      0.498,
      0.4863,
      0.4279,
      0.4884,
      0.5139,
      0.4521,
      0.5771,
      0.4409,
      0.5359,
      0.5118,
      0.5344,
      0.3926,
      0.3037,
      0.5437,
      0.5655,
      0.5146,
      0.5174,
      0.5623,
      0.4717,
      0.484,
      0.4073,
      0.4039,
      0.4872,
      0.5594,
      0.4633,
      0.5403,
      0.551,
      0.5116,
      0.4933,
      0.5016,
      0.5203,
      0.5134,
      0.479,
      0.5357,
      0.3357,
      0.4888,
      0.4993,
      0.6194,
      0.545,
      0.6982,
      0.5964,
      0.5734,
      0.5407,
      0.5379,
      0.3787,
      0.4663,
      0.4745,
      0.4918,
      0.3856,
      0.4853,
      0.542,
      0.4121,
      0.427,
      0.4826,
      0.4318,
      0.4768,
      0.4605,
      0.4829,
      0.4915,
      0.525,
      0.4114,
      0.4508,
      0.4925,
      0.5844,
      0.5691,
      0.4576,
      0.4975,
      0.4082,
      0.4651,
      0.429,
      0.5403,
      0.5669,
      0.5568,
      0.536,
      0.5608,
      0.4382,
      0.5146,
      0.5467,
      0.5696,
      0.5346,
      0.4693,
      0.531,
      0.5305,
      0.5312,
      0.6732,
      0.4534,
      0.6553,
      0.5434,
      0.6889,
      0.4519,
      0.4791,
      0.5113,
      0.5334,
      0.44,
      0.594,
      0.5192,
      0.4627,
      0.5692,
      0.4847,
      0.5124,
      0.441,
      0.5606,
      0.5141,
      0.4459,
      0.3816,
      0.4137,
      0.5464,
      0.4737,
      0.4944,
      0.4194,
      0.6721,
      0.4201,
      0.4437,
      0.3829,
      0.4562,
      0.7507,
      0.5656,
      0.3983,
      0.4528,
      0.4379,
      0.8209,
      0.5856,
      0.3976,
      0.5803,
      0.45,
      0.5449,
      0.5535,
      0.445,
      0.519,
      0.4637,
      0.4881,
      0.5876,
      0.3964,
      0.5433,
      0.433,
      0.6208,
      0.5636,
      0.6755,
      0.4976,
      0.4602,
      0.4997,
      0.5256,
      0.4733,
      0.6011,
      0.5158,
      0.4002,
      0.577,
      0.4972,
      0.5127,
      0.375,
      0.5279,
      0.5367,
      0.4142,
      0.5654,
      0.5966,
      0.5381,
      0.54,
      0.5664,
      0.5052,
      0.4769,
      0.4985,
      0.6116,
      0.608,
      0.4394,
      0.5317,
      0.4135,
      0.5285,
      0.5086,
      0.5031,
      0.5558,
      0.586,
      0.4676,
      0.5535,
      0.4931,
      0.5073,
      0.5472,
      0.4432,
      0.6287,
      0.439,
      0.53,
      0.4022,
      0.4405,
      0.5243,
      0.4182,
      0.6411,
      0.2174,
      0.0243,
      0,
      0,
      0,
      0,
      0.4216,
      0.4858,
      0.4577,
      0.4398,
      0.3977,
      0.3706,
      0.4966,
      0.4029,
      0.5027,
      0.3458,
      0.3619,
      0.3068,
      0.3017,
      0.2402,
      0.314,
      0.2517,
      0.5115,
      0.45,
      0.4162,
      0.5454,
      0.3773,
      0.485,
      0.3773,
      0.3629,
      0.4639,
      0.4489,
      0.505,
      0.4389,
      0.4324,
      0.3337,
      0.4314,
      0.3069,
      0.4094,
      0.4562,
      0.4187,
      0.4135,
      0.5482,
      0.5239,
      0.5201,
      0.441,
      0.4258,
      0.306,
      0.4481,
      0.3814,
      0.5403,
      0.3239,
      0.5943,
      0.4321,
      0.7007,
      0.6218,
      0.7374,
      0.5372,
      0.4008,
      0.5403,
      0.3937,
      0.649,
      0.4335,
      0.4479,
      0.4299,
      0.4564,
      0.5204,
      0.538,
      0.5294,
      0.4357,
      0.4045,
      0.4183,
      0.4253,
      0.3728,
      0.5045,
      0.4578,
      0.4939,
      0.3337,
      0.429,
      0.5448,
      0.4865,
      0.769,
      0.4104,
      0.5078,
      0.454,
      0.4648,
      0.4574,
      0.4804,
      0.4575,
      0.4352,
      0.54,
      0.6012,
      0.4698,
      0.4841,
      0.4973,
      0.574,
      0.5068,
      0.4554,
      0.4534,
      0.5117,
      0.6074,
      0.6739,
      0.5104,
      0.7159,
      0.6071,
      0.7202,
      0.56,
      0.5624,
      0.5326,
      0.4399,
      0.5175,
      0.4571,
      0.5467,
      0.4488,
      0.517,
      0.5153,
      0.5408,
      0.4193,
      0.4372,
      0.5756,
      0.4485,
      0.498,
      0.4425,
      0.503,
      0.4489,
      0.4684,
      0.4917,
      0.3342,
      0.5492,
      0.4715,
      0.4811,
      0.6382,
      0.592,
      0.4645,
      0.4091,
      0.2895,
      0.339,
      0.5349,
      0.4678,
      0.4805,
      0.6011,
      0.6149,
      0.5603,
      0.4509,
      0.4458,
      0.3245,
      0.4669,
      0.4453,
      0.5722,
      0.3268,
      0.6133,
      0.4538,
      0.7124,
      0.4634,
      0.7257,
      0.4884,
      0.6373,
      0.4556,
      0.4272,
      0.3688,
      0.4313,
      0.4265,
      0.379,
      0.3946,
      0.4446,
      0.57,
      0.3808,
      0.4453,
      0.4083,
      0.4426,
      0.4597,
      0.4325,
      0.4924,
      0.4969,
      0.4946,
      0.4245,
      0.4204,
      0.5159,
      0.444,
      0.5186,
      0.4051,
      0.443,
      0.4383,
      0.4151,
      0.3872,
      0.5254,
      0.5313,
      0.4441,
      0.5158,
      0.6046,
      0.4354,
      0.5202,
      0.4813,
      0.5815,
      0.4829,
      0.4138,
      0.4681,
      0.5015,
      0.5526,
      0.678,
      0.4699,
      0.7181,
      0.608,
      0.7208,
      0.5496,
      0.5413,
      0.488,
      0.4861,
      0.4921,
      0.4986,
      0.546,
      0.4561,
      0.5133,
      0.5396,
      0.5075,
      0.4417,
      0.4479,
      0.5656,
      0.4488,
      0.3454,
      0.3918,
      0.5067,
      0.5258,
      0.4627,
      0.4519,
      0.4746,
      0.5153,
      0.4882,
      0.3506,
      0.5787,
      0.6328,
      0.5439,
      0.3358,
      0.3986,
      0.3882,
      0.5958,
      0.5821,
      0.3688,
      0.5853,
      0.6886,
      0.5359,
      0.5055,
      0.5671,
      0.4048,
      0.4199,
      0.4717,
      0.6069,
      0.3424,
      0.6427,
      0.4175,
      0.7222,
      0.6204,
      0.7176,
      0.5403,
      0.5522,
      0.4893,
      0.4756,
      0.5096,
      0.4871,
      0.5221,
      0.4727,
      0.5335,
      0.5288,
      0.5163,
      0.4156,
      0.4785,
      0.5609,
      0.4305,
      0.4611,
      0.5148,
      0.4903,
      0.4644,
      0.4675,
      0.4967,
      0.4268,
      0.5012,
      0.6607,
      0.552,
      0.5552,
      0.4781,
      0.4348,
      0.587,
      0.4352,
      0.4139,
      0.538,
      0.5038,
      0.4044,
      0.4481,
      0.3616,
      0.4921,
      0.5451,
      0.439,
      0.5207,
      0.3508,
      0.4643,
      0.388,
      0.4702,
      0.6552,
      0.3875,
      0.7251,
      0.1198,
      0.0253,
      0,
      0,
      0,
      0,
      0.5339,
      0.4085,
      0.4594,
      0.4196,
      0.4073,
      0.3209,
      0.4509,
      0.5119,
      0.4864,
      0.3861,
      0.3627,
      0.3047,
      0.3094,
      0.255,
      0.3189,
      0.3927,
      0.6837,
      0.363,
      0.3,
      0.4808,
      0.3637,
      0.4721,
      0.4451,
      0.3669,
      0.4964,
      0.5291,
      0.5782,
      0.4391,
      0.3919,
      0.3459,
      0.4687,
      0.317,
      0.3962,
      0.4505,
      0.3835,
      0.5116,
      0.4603,
      0.4669,
      0.415,
      0.4871,
      0.5383,
      0.3594,
      0.4105,
      0.3713,
      0.4271,
      0.3456,
      0.5695,
      0.4063,
      0.6985,
      0.5466,
      0.7587,
      0.3823,
      0.4635,
      0.4951,
      0.4496,
      0.6178,
      0.4774,
      0.5021,
      0.4205,
      0.5567,
      0.4773,
      0.4767,
      0.5599,
      0.4374,
      0.3953,
      0.4031,
      0.407,
      0.3345,
      0.4266,
      0.4144,
      0.456,
      0.4419,
      0.4573,
      0.575,
      0.4547,
      0.5479,
      0.4518,
      0.4389,
      0.5025,
      0.4819,
      0.5479,
      0.541,
      0.5625,
      0.4121,
      0.4949,
      0.515,
      0.4308,
      0.4673,
      0.54,
      0.5649,
      0.6628,
      0.4181,
      0.4394,
      0.4239,
      0.6202,
      0.7038,
      0.4987,
      0.7147,
      0.6025,
      0.7533,
      0.5491,
      0.5633,
      0.5441,
      0.4044,
      0.4812,
      0.6401,
      0.5343,
      0.4599,
      0.5277,
      0.5433,
      0.4662,
      0.4488,
      0.5468,
      0.6564,
      0.4517,
      0.4231,
      0.3986,
      0.4511,
      0.5005,
      0.5655,
      0.5692,
      0.3923,
      0.5395,
      0.5043,
      0.425,
      0.4682,
      0.4651,
      0.4391,
      0.4563,
      0.3694,
      0.3722,
      0.4915,
      0.465,
      0.4258,
      0.5085,
      0.5758,
      0.6833,
      0.5114,
      0.5272,
      0.4243,
      0.4475,
      0.4361,
      0.5059,
      0.3853,
      0.5808,
      0.4102,
      0.7193,
      0.4995,
      0.7678,
      0.4357,
      0.6551,
      0.425,
      0.4303,
      0.3247,
      0.4153,
      0.4675,
      0.3926,
      0.4374,
      0.3971,
      0.5261,
      0.4252,
      0.4024,
      0.39,
      0.4487,
      0.4032,
      0.3631,
      0.4539,
      0.4267,
      0.5103,
      0.4101,
      0.4264,
      0.5332,
      0.3876,
      0.4669,
      0.3554,
      0.4411,
      0.442,
      0.4746,
      0.3093,
      0.5439,
      0.5512,
      0.3829,
      0.5258,
      0.5478,
      0.4398,
      0.4426,
      0.5572,
      0.5769,
      0.6584,
      0.3669,
      0.4195,
      0.4337,
      0.5606,
      0.7048,
      0.5553,
      0.7288,
      0.614,
      0.7476,
      0.5619,
      0.5562,
      0.5181,
      0.4409,
      0.413,
      0.5637,
      0.5245,
      0.5012,
      0.5259,
      0.5449,
      0.4936,
      0.4795,
      0.5774,
      0.641,
      0.4368,
      0.3452,
      0.3643,
      0.4681,
      0.4295,
      0.4829,
      0.4347,
      0.5262,
      0.5173,
      0.4263,
      0.2753,
      0.5182,
      0.5262,
      0.4796,
      0.5054,
      0.4243,
      0.3848,
      0.5125,
      0.6303,
      0.4335,
      0.3915,
      0.7095,
      0.5436,
      0.5485,
      0.5597,
      0.4008,
      0.3783,
      0.5595,
      0.5104,
      0.3911,
      0.6084,
      0.3981,
      0.7282,
      0.6003,
      0.7506,
      0.5619,
      0.5692,
      0.4946,
      0.406,
      0.4131,
      0.5756,
      0.5023,
      0.3472,
      0.4983,
      0.54,
      0.4916,
      0.445,
      0.5454,
      0.6225,
      0.4624,
      0.4998,
      0.4775,
      0.4159,
      0.4694,
      0.4802,
      0.6403,
      0.4645,
      0.5356,
      0.6539,
      0.6764,
      0.5453,
      0.5263,
      0.4355,
      0.6437,
      0.456,
      0.5469,
      0.4843,
      0.4649,
      0.3361,
      0.3551,
      0.3157,
      0.4606,
      0.5244,
      0.4414,
      0.4246,
      0.343,
      0.4247,
      0.4274,
      0.4354,
      0.5676,
      0.3609,
      0.7301,
      0.1563,
      0,
      0,
      0,
      0,
      0,
      0.5132,
      0.5115,
      0.4625,
      0.4315,
      0.4211,
      0.3806,
      0.3321,
      0.3637,
      0.3811,
      0.3634,
      0.3523,
      0.3131,
      0.3269,
      0.3505,
      0.3827,
      0.4401,
      0.587,
      0.4565,
      0.3938,
      0.547,
      0.4234,
      0.4475,
      0.4471,
      0.3891,
      0.4887,
      0.3591,
      0.6241,
      0.4008,
      0.439,
      0.4177,
      0.4237,
      0.309,
      0.4191,
      0.4768,
      0.4541,
      0.5621,
      0.5126,
      0.4746,
      0.4829,
      0.5016,
      0.3598,
      0.3986,
      0.4677,
      0.3084,
      0.5424,
      0.3251,
      0.6457,
      0.4288,
      0.7256,
      0.4398,
      0.7393,
      0.5054,
      0.4155,
      0.5017,
      0.428,
      0.5488,
      0.5139,
      0.4538,
      0.4038,
      0.4355,
      0.6858,
      0.5449,
      0.5651,
      0.4282,
      0.4117,
      0.421,
      0.4336,
      0.3928,
      0.4257,
      0.4618,
      0.4825,
      0.3447,
      0.51,
      0.4692,
      0.5125,
      0.5857,
      0.5705,
      0.4692,
      0.4981,
      0.4121,
      0.4533,
      0.4946,
      0.6327,
      0.4665,
      0.5676,
      0.5078,
      0.4675,
      0.5027,
      0.5209,
      0.4354,
      0.7128,
      0.4663,
      0.5001,
      0.5247,
      0.6698,
      0.6693,
      0.5334,
      0.7289,
      0.6187,
      0.7423,
      0.5676,
      0.5205,
      0.5618,
      0.4363,
      0.4524,
      0.5499,
      0.5113,
      0.4747,
      0.5545,
      0.4619,
      0.5235,
      0.4477,
      0.6251,
      0.5484,
      0.3587,
      0.425,
      0.5881,
      0.4297,
      0.5125,
      0.5585,
      0.507,
      0.3474,
      0.4553,
      0.4736,
      0.5026,
      0.3928,
      0.5615,
      0.4381,
      0.4753,
      0.3976,
      0.3899,
      0.5091,
      0.6539,
      0.54,
      0.5674,
      0.613,
      0.7908,
      0.4554,
      0.4301,
      0.425,
      0.4641,
      0.4864,
      0.6074,
      0.319,
      0.6579,
      0.514,
      0.7202,
      0.4919,
      0.7304,
      0.5654,
      0.6597,
      0.4492,
      0.3812,
      0.3369,
      0.3958,
      0.4897,
      0.4596,
      0.4297,
      0.4119,
      0.5311,
      0.4373,
      0.417,
      0.4986,
      0.4717,
      0.4363,
      0.5466,
      0.5081,
      0.4854,
      0.5695,
      0.4826,
      0.3969,
      0.4658,
      0.5677,
      0.4766,
      0.4026,
      0.4601,
      0.4757,
      0.361,
      0.4165,
      0.5031,
      0.6278,
      0.4652,
      0.5594,
      0.5241,
      0.4622,
      0.5092,
      0.4997,
      0.4443,
      0.7107,
      0.4744,
      0.4872,
      0.5075,
      0.6185,
      0.6765,
      0.4197,
      0.7365,
      0.6273,
      0.7361,
      0.5748,
      0.5275,
      0.535,
      0.3752,
      0.4644,
      0.4567,
      0.4953,
      0.4817,
      0.5375,
      0.4541,
      0.5075,
      0.4382,
      0.6152,
      0.5235,
      0.407,
      0.3657,
      0.4528,
      0.4734,
      0.4534,
      0.442,
      0.3747,
      0.4944,
      0.3325,
      0.4257,
      0.3357,
      0.4993,
      0.5903,
      0.4101,
      0.3074,
      0.4151,
      0.434,
      0.5555,
      0.4606,
      0.4054,
      0.558,
      0.4797,
      0.5657,
      0.4508,
      0.421,
      0.4364,
      0.4131,
      0.5029,
      0.5812,
      0.431,
      0.6729,
      0.4868,
      0.7381,
      0.5773,
      0.741,
      0.5645,
      0.5331,
      0.5114,
      0.406,
      0.446,
      0.5077,
      0.5184,
      0.458,
      0.5369,
      0.4678,
      0.4912,
      0.4322,
      0.6047,
      0.5189,
      0.4256,
      0.4475,
      0.5261,
      0.4129,
      0.5072,
      0.4572,
      0.6807,
      0.5548,
      0.4981,
      0.5851,
      0.6521,
      0.553,
      0.5101,
      0.3613,
      0.6009,
      0.4251,
      0.5102,
      0.424,
      0.3373,
      0.3007,
      0.3474,
      0.3438,
      0.3892,
      0.4158,
      0.3401,
      0.4069,
      0.4009,
      0.3719,
      0.4876,
      0.427,
      0.6809,
      0.3624,
      0.7512,
      0.191,
      0.053,
      0,
      0,
      0,
      0,
      0.6012,
      0.5269,
      0.5238,
      0.4324,
      0.5574,
      0.4726,
      0.4395,
      0.3255,
      0.4684,
      0.4931,
      0.4562,
      0.4712,
      0.4124,
      0.3886,
      0.4591,
      0.488,
      0.691,
      0.6726,
      0.6294,
      0.7524,
      0.5957,
      0.5808,
      0.5466,
      0.4464,
      0.4667,
      0.4947,
      0.6899,
      0.4783,
      0.5255,
      0.5292,
      0.45,
      0.4234,
      0.3748,
      0.5637,
      0.4563,
      0.3866,
      0.5554,
      0.488,
      0.5641,
      0.528,
      0.4158,
      0.5174,
      0.5356,
      0.5648,
      0.5139,
      0.5103,
      0.644,
      0.5397,
      0.6808,
      0.4868,
      0.6888,
      0.498,
      0.4224,
      0.5041,
      0.4424,
      0.5003,
      0.5195,
      0.398,
      0.4583,
      0.4638,
      0.6201,
      0.4705,
      0.5167,
      0.7287,
      0.5307,
      0.6491,
      0.7249,
      0.5723,
      0.6143,
      0.6382,
      0.5877,
      0.5346,
      0.6477,
      0.4503,
      0.5891,
      0.7088,
      0.6946,
      0.5744,
      0.5915,
      0.5845,
      0.5715,
      0.5074,
      0.6641,
      0.4147,
      0.5727,
      0.5252,
      0.4038,
      0.5034,
      0.4622,
      0.4322,
      0.661,
      0.5566,
      0.5995,
      0.5034,
      0.6907,
      0.6883,
      0.5331,
      0.6655,
      0.6379,
      0.6724,
      0.603,
      0.5715,
      0.547,
      0.4147,
      0.4869,
      0.5771,
      0.4079,
      0.5552,
      0.5705,
      0.5175,
      0.5029,
      0.445,
      0.5771,
      0.5214,
      0.6506,
      0.5787,
      0.6813,
      0.5751,
      0.643,
      0.5758,
      0.5065,
      0.4455,
      0.4754,
      0.5436,
      0.5322,
      0.7413,
      0.686,
      0.54,
      0.475,
      0.4549,
      0.5955,
      0.4911,
      0.8447,
      0.5685,
      0.6103,
      0.5959,
      0.5405,
      0.4689,
      0.4767,
      0.5038,
      0.6308,
      0.6551,
      0.6341,
      0.5251,
      0.62,
      0.5432,
      0.6573,
      0.5109,
      0.6853,
      0.5861,
      0.6538,
      0.5146,
      0.4276,
      0.4104,
      0.5104,
      0.5686,
      0.5084,
      0.4883,
      0.5222,
      0.5953,
      0.5177,
      0.419,
      0.5983,
      0.6305,
      0.5027,
      0.705,
      0.7254,
      0.6321,
      0.6527,
      0.4621,
      0.4441,
      0.5001,
      0.5501,
      0.5777,
      0.474,
      0.6729,
      0.5841,
      0.5807,
      0.4753,
      0.4869,
      0.7115,
      0.3965,
      0.5879,
      0.5301,
      0.3981,
      0.5062,
      0.4522,
      0.4453,
      0.6716,
      0.5653,
      0.5862,
      0.5091,
      0.6129,
      0.6852,
      0.5726,
      0.6622,
      0.6378,
      0.6832,
      0.6005,
      0.5927,
      0.5179,
      0.4398,
      0.4995,
      0.4823,
      0.4618,
      0.5377,
      0.5807,
      0.545,
      0.4912,
      0.4491,
      0.5387,
      0.5193,
      0.6492,
      0.5489,
      0.618,
      0.558,
      0.6243,
      0.5395,
      0.5544,
      0.7206,
      0.3335,
      0.5185,
      0.5327,
      0.5221,
      0.6244,
      0.5708,
      0.5383,
      0.4108,
      0.4298,
      0.5919,
      0.4366,
      0.5954,
      0.5827,
      0.7218,
      0.5771,
      0.5345,
      0.4968,
      0.5363,
      0.5557,
      0.6055,
      0.5285,
      0.5545,
      0.6443,
      0.5494,
      0.6774,
      0.646,
      0.6899,
      0.6114,
      0.6015,
      0.5366,
      0.4435,
      0.4536,
      0.5155,
      0.4043,
      0.4991,
      0.5979,
      0.5345,
      0.5032,
      0.453,
      0.5337,
      0.4805,
      0.6009,
      0.6016,
      0.5898,
      0.5454,
      0.6142,
      0.585,
      0.5495,
      0.6821,
      0.4744,
      0.5326,
      0.6536,
      0.6255,
      0.5962,
      0.5388,
      0.563,
      0.4589,
      0.5333,
      0.3942,
      0.3513,
      0.289,
      0.4124,
      0.3175,
      0.4397,
      0.4327,
      0.3282,
      0.5407,
      0.4049,
      0.5542,
      0.3803,
      0.4254,
      0.6246,
      0.3917,
      0.6642,
      0.1583,
      0,
      0,
      0,
      0,
      0,
      0.539,
      0.4159,
      0.4387,
      0.4626,
      0.4295,
      0.4293,
      0.4043,
      0.2968,
      0.5253,
      0.4412,
      0.4241,
      0.4493,
      0.3851,
      0.3754,
      0.3383,
      0.3856,
      0.602,
      0.7332,
      0.5753,
      0.6605,
      0.4707,
      0.568,
      0.7672,
      0.5364,
      0.4848,
      0.6491,
      0.5971,
      0.5538,
      0.4872,
      0.5286,
      0.713,
      0.348,
      0.4316,
      0.6547,
      0.5274,
      0.4853,
      0.4714,
      0.528,
      0.7447,
      0.5612,
      0.53,
      0.5516,
      0.6011,
      0.6224,
      0.4938,
      0.4403,
      0.6949,
      0.5159,
      0.7726,
      0.4787,
      0.7757,
      0.519,
      0.6186,
      0.499,
      0.5241,
      0.4434,
      0.4706,
      0.4907,
      0.4917,
      0.528,
      0.5381,
      0.5346,
      0.448,
      0.7562,
      0.747,
      0.5335,
      0.81,
      0.4957,
      0.7036,
      0.5298,
      0.5428,
      0.4535,
      0.3969,
      0.4751,
      0.6403,
      0.6527,
      0.5716,
      0.5317,
      0.5246,
      0.7106,
      0.522,
      0.5573,
      0.6606,
      0.506,
      0.5729,
      0.5843,
      0.4775,
      0.538,
      0.527,
      0.5388,
      0.5504,
      0.5898,
      0.5434,
      0.5179,
      0.6365,
      0.723,
      0.5783,
      0.781,
      0.6378,
      0.7656,
      0.553,
      0.593,
      0.591,
      0.4616,
      0.492,
      0.6521,
      0.5454,
      0.4953,
      0.6396,
      0.5543,
      0.5861,
      0.4433,
      0.4983,
      0.5935,
      0.5275,
      0.6208,
      0.6396,
      0.665,
      0.5722,
      0.5275,
      0.4251,
      0.4352,
      0.6223,
      0.7199,
      0.5971,
      0.8107,
      0.7002,
      0.5281,
      0.4905,
      0.5286,
      0.6463,
      0.5515,
      0.691,
      0.6344,
      0.5422,
      0.6579,
      0.4815,
      0.5688,
      0.6442,
      0.5416,
      0.572,
      0.7542,
      0.5991,
      0.4856,
      0.6982,
      0.6238,
      0.7691,
      0.553,
      0.782,
      0.5827,
      0.6459,
      0.4921,
      0.5918,
      0.4522,
      0.6134,
      0.5246,
      0.4358,
      0.4507,
      0.4852,
      0.547,
      0.5943,
      0.6248,
      0.5572,
      0.5251,
      0.5691,
      0.5414,
      0.7853,
      0.5771,
      0.653,
      0.4911,
      0.4639,
      0.5829,
      0.6013,
      0.5366,
      0.4694,
      0.6085,
      0.5434,
      0.6582,
      0.5379,
      0.5109,
      0.715,
      0.5036,
      0.6031,
      0.5761,
      0.4707,
      0.5007,
      0.5107,
      0.5306,
      0.5092,
      0.578,
      0.5523,
      0.5458,
      0.5651,
      0.7322,
      0.5225,
      0.7879,
      0.6512,
      0.7579,
      0.553,
      0.6099,
      0.5781,
      0.4856,
      0.5122,
      0.6475,
      0.5636,
      0.5221,
      0.6472,
      0.5715,
      0.5979,
      0.4575,
      0.5337,
      0.5634,
      0.5293,
      0.4997,
      0.5095,
      0.5251,
      0.5518,
      0.4899,
      0.5009,
      0.6379,
      0.3583,
      0.4621,
      0.4111,
      0.5977,
      0.5226,
      0.5535,
      0.5074,
      0.4418,
      0.4072,
      0.6951,
      0.4567,
      0.4376,
      0.5755,
      0.5019,
      0.6338,
      0.4691,
      0.5767,
      0.5493,
      0.5287,
      0.6248,
      0.5608,
      0.5264,
      0.7033,
      0.5084,
      0.774,
      0.5704,
      0.7638,
      0.5943,
      0.6141,
      0.578,
      0.4614,
      0.534,
      0.6464,
      0.5486,
      0.5008,
      0.6267,
      0.5324,
      0.5734,
      0.3728,
      0.5122,
      0.552,
      0.4642,
      0.6393,
      0.5572,
      0.5164,
      0.6286,
      0.5221,
      0.6111,
      0.6631,
      0.529,
      0.5399,
      0.5568,
      0.6022,
      0.5934,
      0.4556,
      0.5633,
      0.4738,
      0.5467,
      0.4472,
      0.5029,
      0.5123,
      0.4145,
      0.4978,
      0.5309,
      0.4786,
      0.4868,
      0.5399,
      0.4688,
      0.5309,
      0.4607,
      0.4925,
      0.7229,
      0.3461,
      0.7951,
      0.1854,
      0,
      0,
      0,
      0,
      0,
      0.3937,
      0.4278,
      0.4258,
      0.3093,
      0.4136,
      0.22,
      0.3462,
      0.2892,
      0.5844,
      0.443,
      0.5155,
      0.4585,
      0.4519,
      0.3491,
      0.3212,
      0.2707,
      0.6066,
      0.4662,
      0.35,
      0.4422,
      0.3521,
      0.3887,
      0.4363,
      0.4386,
      0.4443,
      0.6206,
      0.6496,
      0.5141,
      0.5756,
      0.6326,
      0.5597,
      0.4421,
      0.4158,
      0.5174,
      0.5247,
      0.3923,
      0.4356,
      0.4808,
      0.684,
      0.4328,
      0.4742,
      0.4995,
      0.6008,
      0.5251,
      0.6073,
      0.47,
      0.6725,
      0.4718,
      0.7656,
      0.5173,
      0.8042,
      0.5443,
      0.485,
      0.4433,
      0.5101,
      0.4827,
      0.3132,
      0.5293,
      0.5192,
      0.5454,
      0.4343,
      0.5023,
      0.5238,
      0.5357,
      0.5778,
      0.5124,
      0.5158,
      0.4224,
      0.5389,
      0.4272,
      0.3939,
      0.4208,
      0.3975,
      0.4334,
      0.6236,
      0.5769,
      0.4727,
      0.5167,
      0.6084,
      0.433,
      0.5525,
      0.4876,
      0.5461,
      0.433,
      0.5176,
      0.538,
      0.4346,
      0.461,
      0.4322,
      0.4531,
      0.4827,
      0.4836,
      0.607,
      0.5692,
      0.6249,
      0.7094,
      0.4722,
      0.779,
      0.6321,
      0.8082,
      0.6035,
      0.5974,
      0.4727,
      0.4201,
      0.4259,
      0.6202,
      0.5507,
      0.5073,
      0.5633,
      0.5596,
      0.5663,
      0.4511,
      0.5272,
      0.642,
      0.5132,
      0.6522,
      0.3532,
      0.3514,
      0.5219,
      0.371,
      0.4057,
      0.415,
      0.4022,
      0.7314,
      0.6127,
      0.4996,
      0.6946,
      0.621,
      0.5162,
      0.5112,
      0.3897,
      0.6563,
      0.5239,
      0.4672,
      0.5941,
      0.6062,
      0.3275,
      0.4664,
      0.4932,
      0.6777,
      0.545,
      0.5434,
      0.6128,
      0.4791,
      0.6898,
      0.7064,
      0.7774,
      0.5387,
      0.8162,
      0.5166,
      0.701,
      0.4891,
      0.4704,
      0.4925,
      0.5876,
      0.5304,
      0.4512,
      0.4295,
      0.4617,
      0.5757,
      0.4436,
      0.5747,
      0.5379,
      0.4775,
      0.7408,
      0.4496,
      0.3758,
      0.429,
      0.4278,
      0.5868,
      0.324,
      0.487,
      0.629,
      0.5406,
      0.3838,
      0.526,
      0.5867,
      0.5728,
      0.3939,
      0.5988,
      0.6131,
      0.3982,
      0.5388,
      0.5733,
      0.3986,
      0.432,
      0.438,
      0.5151,
      0.5364,
      0.4676,
      0.6088,
      0.5623,
      0.5341,
      0.7141,
      0.4778,
      0.7892,
      0.638,
      0.8069,
      0.6046,
      0.612,
      0.4756,
      0.4209,
      0.4298,
      0.5157,
      0.5596,
      0.5114,
      0.5607,
      0.5571,
      0.531,
      0.4538,
      0.5586,
      0.6333,
      0.4893,
      0.3892,
      0.2572,
      0.4213,
      0.3987,
      0.4087,
      0.3076,
      0.539,
      0.3838,
      0.4491,
      0.4296,
      0.6296,
      0.39,
      0.5081,
      0.5198,
      0.4139,
      0.3802,
      0.5054,
      0.3812,
      0.3285,
      0.6235,
      0.4627,
      0.4648,
      0.5878,
      0.557,
      0.5963,
      0.6472,
      0.6475,
      0.6106,
      0.5357,
      0.6868,
      0.4716,
      0.7914,
      0.5464,
      0.805,
      0.6081,
      0.6036,
      0.5012,
      0.3817,
      0.4393,
      0.5565,
      0.5516,
      0.4955,
      0.5506,
      0.5831,
      0.5332,
      0.4702,
      0.5168,
      0.6201,
      0.4546,
      0.6156,
      0.6137,
      0.5691,
      0.5823,
      0.3175,
      0.5822,
      0.5629,
      0.4301,
      0.6263,
      0.6352,
      0.5811,
      0.603,
      0.618,
      0.5244,
      0.45,
      0.5579,
      0.4085,
      0.3602,
      0.2643,
      0.4302,
      0.3836,
      0.3991,
      0.4441,
      0.4367,
      0.5537,
      0.4679,
      0.6099,
      0.5438,
      0.6619,
      0.6938,
      0.367,
      0.8192,
      0.2415,
      0.109,
      0,
      0,
      0,
      0,
      0.395,
      0.385,
      0.4627,
      0.3724,
      0.4005,
      0.309,
      0.3471,
      0.3593,
      0.5544,
      0.3987,
      0.4902,
      0.5158,
      0.4115,
      0.3461,
      0.3577,
      0.3872,
      0.6153,
      0.4692,
      0.3074,
      0.4221,
      0.3932,
      0.4046,
      0.4891,
      0.394,
      0.4783,
      0.5915,
      0.6186,
      0.5081,
      0.5842,
      0.6476,
      0.4636,
      0.5062,
      0.4762,
      0.4963,
      0.522,
      0.3823,
      0.4265,
      0.4376,
      0.4519,
      0.4089,
      0.4963,
      0.5064,
      0.5382,
      0.5247,
      0.6537,
      0.5242,
      0.7009,
      0.4488,
      0.7868,
      0.4757,
      0.8208,
      0.4291,
      0.4261,
      0.422,
      0.4057,
      0.4204,
      0.3661,
      0.4629,
      0.4645,
      0.546,
      0.5181,
      0.5178,
      0.596,
      0.4777,
      0.5131,
      0.4799,
      0.4358,
      0.422,
      0.3787,
      0.4494,
      0.3463,
      0.4232,
      0.4249,
      0.4694,
      0.588,
      0.5452,
      0.5182,
      0.4625,
      0.6543,
      0.4622,
      0.5965,
      0.5247,
      0.5514,
      0.4479,
      0.5138,
      0.5314,
      0.3601,
      0.452,
      0.5146,
      0.5595,
      0.5689,
      0.5641,
      0.5652,
      0.591,
      0.63,
      0.7322,
      0.5187,
      0.8026,
      0.5247,
      0.8243,
      0.5669,
      0.6035,
      0.5278,
      0.4303,
      0.4742,
      0.577,
      0.5465,
      0.5272,
      0.5379,
      0.5455,
      0.5499,
      0.5759,
      0.5773,
      0.5598,
      0.4611,
      0.6199,
      0.3832,
      0.2901,
      0.5067,
      0.4111,
      0.5052,
      0.3834,
      0.4879,
      0.6567,
      0.5825,
      0.4472,
      0.6903,
      0.6453,
      0.432,
      0.4948,
      0.4239,
      0.4182,
      0.4582,
      0.3825,
      0.5076,
      0.5818,
      0.371,
      0.4501,
      0.5136,
      0.4919,
      0.5071,
      0.5615,
      0.5831,
      0.4917,
      0.71,
      0.5165,
      0.7944,
      0.4644,
      0.8254,
      0.5376,
      0.733,
      0.5408,
      0.3421,
      0.3819,
      0.3082,
      0.4823,
      0.552,
      0.4459,
      0.5311,
      0.5345,
      0.5786,
      0.4914,
      0.5182,
      0.5939,
      0.4342,
      0.4704,
      0.3671,
      0.3624,
      0.4197,
      0.5316,
      0.4034,
      0.4315,
      0.5738,
      0.5502,
      0.5012,
      0.5588,
      0.6199,
      0.4903,
      0.5547,
      0.5633,
      0.5912,
      0.4531,
      0.5542,
      0.5259,
      0.3293,
      0.4434,
      0.5168,
      0.5497,
      0.5519,
      0.5474,
      0.535,
      0.6075,
      0.5034,
      0.728,
      0.4764,
      0.8032,
      0.519,
      0.8275,
      0.6172,
      0.5748,
      0.5108,
      0.4144,
      0.4391,
      0.5422,
      0.5492,
      0.5353,
      0.5355,
      0.547,
      0.512,
      0.5716,
      0.5584,
      0.556,
      0.4664,
      0.2957,
      0.2668,
      0.4519,
      0.3583,
      0.3159,
      0.3449,
      0.5365,
      0.3849,
      0.4332,
      0.4357,
      0.5535,
      0.3928,
      0.4752,
      0.5253,
      0.4168,
      0.5002,
      0.4088,
      0.5165,
      0.3637,
      0.6129,
      0.4843,
      0.4645,
      0.4686,
      0.5751,
      0.5512,
      0.7108,
      0.5613,
      0.573,
      0.5191,
      0.733,
      0.5136,
      0.8151,
      0.4536,
      0.8255,
      0.5433,
      0.5922,
      0.4647,
      0.3965,
      0.4589,
      0.5453,
      0.5761,
      0.5087,
      0.545,
      0.5524,
      0.5453,
      0.6045,
      0.5358,
      0.5293,
      0.4955,
      0.5583,
      0.5347,
      0.5067,
      0.5324,
      0.3954,
      0.4857,
      0.4586,
      0.4613,
      0.5934,
      0.582,
      0.5756,
      0.5404,
      0.6373,
      0.5558,
      0.5815,
      0.5535,
      0.4001,
      0.45,
      0.2298,
      0.4735,
      0.2972,
      0.4299,
      0.4394,
      0.4839,
      0.6087,
      0.4395,
      0.5827,
      0.546,
      0.7041,
      0.7199,
      0.4572,
      0.8281,
      0.2471,
      0.1307,
      0,
      0,
      0,
      0,
      0.4978,
      0.4378,
      0.4466,
      0.3724,
      0.4606,
      0.2802,
      0.3611,
      0.445,
      0.5103,
      0.4303,
      0.4691,
      0.4955,
      0.4521,
      0.2851,
      0.4553,
      0.3818,
      0.598,
      0.4468,
      0.3141,
      0.5797,
      0.3624,
      0.3777,
      0.4229,
      0.4063,
      0.5653,
      0.5871,
      0.6877,
      0.4619,
      0.6704,
      0.4397,
      0.5484,
      0.4875,
      0.4636,
      0.5302,
      0.4286,
      0.4127,
      0.4123,
      0.3828,
      0.4163,
      0.3603,
      0.4937,
      0.4197,
      0.5089,
      0.512,
      0.5445,
      0.3896,
      0.6842,
      0.4606,
      0.7474,
      0.5517,
      0.818,
      0.4442,
      0.4494,
      0.4382,
      0.3736,
      0.4541,
      0.434,
      0.5218,
      0.4515,
      0.4764,
      0.5629,
      0.4766,
      0.4913,
      0.5016,
      0.4706,
      0.5314,
      0.4186,
      0.3506,
      0.3215,
      0.3729,
      0.4123,
      0.3016,
      0.3919,
      0.5273,
      0.5756,
      0.6636,
      0.4347,
      0.3794,
      0.5682,
      0.5511,
      0.5901,
      0.5679,
      0.5932,
      0.4382,
      0.4624,
      0.5062,
      0.3545,
      0.5201,
      0.5481,
      0.5596,
      0.6222,
      0.5648,
      0.5686,
      0.5461,
      0.5869,
      0.7124,
      0.5737,
      0.7578,
      0.5046,
      0.8073,
      0.5737,
      0.6026,
      0.528,
      0.3496,
      0.4332,
      0.6285,
      0.5493,
      0.4672,
      0.5808,
      0.5573,
      0.5689,
      0.3842,
      0.5103,
      0.5076,
      0.5144,
      0.4085,
      0.3295,
      0.374,
      0.5555,
      0.492,
      0.6401,
      0.3927,
      0.5527,
      0.5982,
      0.4757,
      0.4721,
      0.6405,
      0.4642,
      0.5277,
      0.527,
      0.4528,
      0.4141,
      0.4169,
      0.3368,
      0.4861,
      0.5259,
      0.3847,
      0.4376,
      0.5254,
      0.4396,
      0.5333,
      0.4763,
      0.5322,
      0.4399,
      0.695,
      0.4565,
      0.7515,
      0.5359,
      0.8117,
      0.4127,
      0.7383,
      0.5319,
      0.2914,
      0.2893,
      0.4282,
      0.5113,
      0.4635,
      0.5266,
      0.5554,
      0.5409,
      0.3733,
      0.484,
      0.4641,
      0.5566,
      0.3294,
      0.4041,
      0.4145,
      0.4694,
      0.3416,
      0.4953,
      0.3884,
      0.5531,
      0.6179,
      0.624,
      0.4383,
      0.5896,
      0.4808,
      0.5583,
      0.5781,
      0.5958,
      0.6074,
      0.4435,
      0.4805,
      0.4963,
      0.3419,
      0.491,
      0.5634,
      0.5361,
      0.599,
      0.5469,
      0.5337,
      0.558,
      0.4843,
      0.7194,
      0.5525,
      0.7579,
      0.4853,
      0.8158,
      0.5929,
      0.5797,
      0.5347,
      0.3971,
      0.4264,
      0.571,
      0.5312,
      0.5027,
      0.5527,
      0.5489,
      0.5976,
      0.4321,
      0.5252,
      0.4945,
      0.4504,
      0.3261,
      0.3466,
      0.4247,
      0.3366,
      0.3247,
      0.332,
      0.6118,
      0.5882,
      0.4954,
      0.4156,
      0.4238,
      0.426,
      0.4484,
      0.4453,
      0.4188,
      0.4482,
      0.4158,
      0.4423,
      0.4204,
      0.4964,
      0.7146,
      0.4534,
      0.4803,
      0.5228,
      0.479,
      0.5308,
      0.5547,
      0.5627,
      0.4855,
      0.7196,
      0.4219,
      0.7624,
      0.447,
      0.8093,
      0.601,
      0.5813,
      0.4982,
      0.3746,
      0.4769,
      0.5648,
      0.5156,
      0.4495,
      0.5532,
      0.5542,
      0.5615,
      0.464,
      0.4769,
      0.46,
      0.4549,
      0.4464,
      0.558,
      0.5236,
      0.6012,
      0.4121,
      0.5487,
      0.4872,
      0.5824,
      0.5545,
      0.5197,
      0.6221,
      0.5431,
      0.5125,
      0.6198,
      0.6206,
      0.5888,
      0.399,
      0.3852,
      0.2274,
      0.3902,
      0.3298,
      0.3693,
      0.401,
      0.4582,
      0.5332,
      0.4437,
      0.5178,
      0.4603,
      0.589,
      0.7192,
      0.4019,
      0.7944,
      0.3494,
      0.1683,
      0,
      0,
      0,
      0,
      0.5851,
      0.5021,
      0.5104,
      0.4299,
      0.4685,
      0.3227,
      0.3621,
      0.4678,
      0.5143,
      0.4153,
      0.4861,
      0.4686,
      0.4001,
      0.3613,
      0.4897,
      0.5487,
      0.6055,
      0.4035,
      0.3882,
      0.584,
      0.3942,
      0.3815,
      0.3942,
      0.3852,
      0.5501,
      0.5295,
      0.6959,
      0.4414,
      0.7027,
      0.4168,
      0.5459,
      0.5017,
      0.5387,
      0.528,
      0.4381,
      0.4516,
      0.4175,
      0.3705,
      0.5564,
      0.4213,
      0.5961,
      0.474,
      0.491,
      0.4332,
      0.5211,
      0.3418,
      0.6762,
      0.4362,
      0.8133,
      0.566,
      0.8279,
      0.4564,
      0.4596,
      0.4356,
      0.3698,
      0.4611,
      0.415,
      0.5027,
      0.4218,
      0.4291,
      0.5185,
      0.5909,
      0.5528,
      0.5021,
      0.4829,
      0.504,
      0.3567,
      0.3392,
      0.4418,
      0.4509,
      0.3775,
      0.3651,
      0.4471,
      0.5172,
      0.55,
      0.6547,
      0.4425,
      0.4828,
      0.5172,
      0.4772,
      0.582,
      0.5571,
      0.6978,
      0.5055,
      0.4828,
      0.5143,
      0.3357,
      0.5443,
      0.466,
      0.5744,
      0.6284,
      0.4621,
      0.5374,
      0.5278,
      0.5523,
      0.708,
      0.5346,
      0.8167,
      0.4286,
      0.8318,
      0.5754,
      0.6495,
      0.6023,
      0.3363,
      0.4049,
      0.606,
      0.5802,
      0.5885,
      0.5755,
      0.5957,
      0.5688,
      0.4969,
      0.6089,
      0.5206,
      0.5117,
      0.3854,
      0.3045,
      0.4569,
      0.5468,
      0.7453,
      0.489,
      0.4097,
      0.5736,
      0.4992,
      0.4793,
      0.4386,
      0.6576,
      0.3832,
      0.5093,
      0.5827,
      0.4269,
      0.431,
      0.4343,
      0.3549,
      0.4755,
      0.6256,
      0.5395,
      0.3558,
      0.5777,
      0.5006,
      0.526,
      0.5045,
      0.5195,
      0.5015,
      0.6827,
      0.5733,
      0.8215,
      0.5824,
      0.8263,
      0.4372,
      0.7165,
      0.4456,
      0.3448,
      0.3304,
      0.4419,
      0.5146,
      0.4477,
      0.4881,
      0.5825,
      0.5365,
      0.472,
      0.4978,
      0.4727,
      0.6706,
      0.3575,
      0.4261,
      0.4904,
      0.494,
      0.3824,
      0.4746,
      0.3817,
      0.5955,
      0.5942,
      0.4944,
      0.4361,
      0.5136,
      0.3721,
      0.5305,
      0.645,
      0.6109,
      0.6665,
      0.5145,
      0.5157,
      0.5154,
      0.2853,
      0.5025,
      0.4713,
      0.5647,
      0.6517,
      0.51,
      0.5615,
      0.5492,
      0.5081,
      0.7052,
      0.4819,
      0.8256,
      0.436,
      0.8258,
      0.61,
      0.6189,
      0.6038,
      0.4204,
      0.4315,
      0.5493,
      0.6141,
      0.6184,
      0.5386,
      0.5737,
      0.5693,
      0.4771,
      0.5777,
      0.5139,
      0.4285,
      0.4001,
      0.3258,
      0.4944,
      0.5315,
      0.2748,
      0.4195,
      0.6539,
      0.5992,
      0.4797,
      0.3923,
      0.4237,
      0.4625,
      0.4839,
      0.4696,
      0.4333,
      0.4374,
      0.4808,
      0.6124,
      0.3965,
      0.4124,
      0.4055,
      0.532,
      0.5662,
      0.6042,
      0.5183,
      0.5364,
      0.5802,
      0.5604,
      0.4989,
      0.7048,
      0.494,
      0.8226,
      0.4466,
      0.82,
      0.5794,
      0.5794,
      0.5831,
      0.3922,
      0.3936,
      0.5542,
      0.5939,
      0.5463,
      0.5377,
      0.5712,
      0.5408,
      0.4898,
      0.5934,
      0.5115,
      0.4848,
      0.3916,
      0.5847,
      0.5332,
      0.5135,
      0.3394,
      0.5108,
      0.4756,
      0.5864,
      0.5974,
      0.6616,
      0.5773,
      0.5686,
      0.4323,
      0.615,
      0.6564,
      0.5358,
      0.3934,
      0.4545,
      0.2172,
      0.4535,
      0.3568,
      0.4781,
      0.423,
      0.4962,
      0.536,
      0.5048,
      0.4211,
      0.4132,
      0.6156,
      0.7041,
      0.4967,
      0.8429,
      0.2818,
      0.1229,
      0,
      0,
      0,
      0,
      0.6131,
      0.5232,
      0.4943,
      0.3884,
      0.4968,
      0.3249,
      0.371,
      0.4097,
      0.5302,
      0.5406,
      0.5752,
      0.5387,
      0.5463,
      0.4822,
      0.5588,
      0.5982,
      0.6023,
      0.4748,
      0.414,
      0.5314,
      0.4824,
      0.387,
      0.3904,
      0.4065,
      0.5361,
      0.6433,
      0.6664,
      0.5543,
      0.6847,
      0.5105,
      0.5781,
      0.5514,
      0.4591,
      0.5032,
      0.489,
      0.5811,
      0.4699,
      0.4164,
      0.5385,
      0.4818,
      0.4035,
      0.6483,
      0.6254,
      0.6103,
      0.6447,
      0.4939,
      0.6794,
      0.6738,
      0.7478,
      0.5197,
      0.7424,
      0.417,
      0.4523,
      0.4304,
      0.3785,
      0.4467,
      0.6117,
      0.421,
      0.5108,
      0.4783,
      0.5393,
      0.6346,
      0.537,
      0.5248,
      0.4735,
      0.6321,
      0.3791,
      0.3801,
      0.3702,
      0.372,
      0.4111,
      0.3533,
      0.6302,
      0.4545,
      0.6425,
      0.5703,
      0.5013,
      0.5792,
      0.5845,
      0.5688,
      0.6195,
      0.5166,
      0.7564,
      0.4797,
      0.5274,
      0.5175,
      0.3646,
      0.4674,
      0.4394,
      0.4499,
      0.7414,
      0.6198,
      0.6659,
      0.6074,
      0.5095,
      0.6908,
      0.6502,
      0.7495,
      0.5104,
      0.7526,
      0.664,
      0.6747,
      0.5956,
      0.3646,
      0.4891,
      0.5281,
      0.5383,
      0.5399,
      0.5903,
      0.4974,
      0.5388,
      0.5047,
      0.6682,
      0.4865,
      0.612,
      0.5283,
      0.3879,
      0.3329,
      0.5264,
      0.3914,
      0.3661,
      0.4358,
      0.4562,
      0.6218,
      0.5679,
      0.504,
      0.7085,
      0.5978,
      0.563,
      0.5895,
      0.4283,
      0.4441,
      0.5064,
      0.3681,
      0.4484,
      0.5756,
      0.5042,
      0.4281,
      0.4199,
      0.6418,
      0.6376,
      0.61,
      0.6338,
      0.5157,
      0.6922,
      0.6432,
      0.7599,
      0.5638,
      0.7358,
      0.5852,
      0.6667,
      0.4693,
      0.3565,
      0.3376,
      0.4662,
      0.5187,
      0.5949,
      0.5585,
      0.4254,
      0.605,
      0.5991,
      0.5503,
      0.6271,
      0.5927,
      0.4749,
      0.6194,
      0.5325,
      0.3959,
      0.3967,
      0.5174,
      0.4361,
      0.4324,
      0.6527,
      0.5367,
      0.5349,
      0.598,
      0.6178,
      0.569,
      0.6318,
      0.5583,
      0.6806,
      0.4996,
      0.543,
      0.5264,
      0.3617,
      0.5013,
      0.4489,
      0.4787,
      0.7426,
      0.6278,
      0.644,
      0.5982,
      0.5233,
      0.7078,
      0.6703,
      0.7611,
      0.528,
      0.7452,
      0.6677,
      0.664,
      0.5947,
      0.3903,
      0.4971,
      0.5367,
      0.5337,
      0.5505,
      0.6034,
      0.5263,
      0.6111,
      0.4721,
      0.6034,
      0.4784,
      0.615,
      0.5072,
      0.3675,
      0.4649,
      0.541,
      0.3073,
      0.3692,
      0.5069,
      0.4781,
      0.6023,
      0.5911,
      0.5539,
      0.5794,
      0.5733,
      0.5902,
      0.6176,
      0.5039,
      0.5595,
      0.6897,
      0.4566,
      0.4303,
      0.5466,
      0.5093,
      0.6229,
      0.5056,
      0.6525,
      0.616,
      0.5869,
      0.6408,
      0.5453,
      0.7033,
      0.7005,
      0.7563,
      0.3839,
      0.7415,
      0.6812,
      0.6716,
      0.569,
      0.3636,
      0.4446,
      0.5409,
      0.5209,
      0.5337,
      0.5853,
      0.505,
      0.5662,
      0.523,
      0.5912,
      0.4686,
      0.5453,
      0.5087,
      0.6408,
      0.5863,
      0.535,
      0.3522,
      0.5866,
      0.6274,
      0.5343,
      0.6244,
      0.6688,
      0.6794,
      0.6618,
      0.589,
      0.5723,
      0.6399,
      0.5264,
      0.4098,
      0.3778,
      0.2385,
      0.4019,
      0.3746,
      0.4082,
      0.4271,
      0.4136,
      0.5523,
      0.4018,
      0.4947,
      0.4775,
      0.5622,
      0.6991,
      0.5598,
      0.7674,
      0.3314,
      0.24,
      0,
      0,
      0,
      0,
      0.6246,
      0.6408,
      0.6222,
      0.6519,
      0.6178,
      0.6084,
      0.6444,
      0.4633,
      0.5441,
      0.3919,
      0.4803,
      0.4586,
      0.4489,
      0.4199,
      0.3714,
      0.4273,
      0.7022,
      0.71,
      0.65,
      0.8349,
      0.6308,
      0.5598,
      0.5729,
      0.5267,
      0.5118,
      0.5366,
      0.7051,
      0.5478,
      0.6217,
      0.4499,
      0.625,
      0.5892,
      0.4742,
      0.6838,
      0.5332,
      0.4857,
      0.5789,
      0.5028,
      0.5582,
      0.5455,
      0.5518,
      0.5206,
      0.5951,
      0.6273,
      0.6233,
      0.442,
      0.6935,
      0.6655,
      0.7074,
      0.5368,
      0.7308,
      0.5336,
      0.5841,
      0.5428,
      0.5318,
      0.5486,
      0.5807,
      0.4604,
      0.4154,
      0.4247,
      0.4761,
      0.5579,
      0.4584,
      0.5777,
      0.4566,
      0.5584,
      0.6099,
      0.5362,
      0.6176,
      0.5637,
      0.5424,
      0.5402,
      0.6556,
      0.458,
      0.5794,
      0.5662,
      0.5752,
      0.4817,
      0.4661,
      0.5674,
      0.5295,
      0.5121,
      0.7722,
      0.5562,
      0.5291,
      0.5481,
      0.4961,
      0.4697,
      0.5416,
      0.5402,
      0.625,
      0.574,
      0.5824,
      0.6328,
      0.4645,
      0.6264,
      0.6624,
      0.7312,
      0.5535,
      0.748,
      0.5251,
      0.6299,
      0.5811,
      0.5165,
      0.5616,
      0.6393,
      0.5047,
      0.523,
      0.613,
      0.5361,
      0.645,
      0.4213,
      0.5064,
      0.4601,
      0.5236,
      0.6128,
      0.4883,
      0.5736,
      0.5284,
      0.5283,
      0.5446,
      0.5578,
      0.4786,
      0.5444,
      0.5312,
      0.4949,
      0.6342,
      0.4752,
      0.5558,
      0.4851,
      0.4719,
      0.555,
      0.5863,
      0.3901,
      0.5221,
      0.5228,
      0.4544,
      0.5542,
      0.4921,
      0.507,
      0.5798,
      0.5831,
      0.6823,
      0.3986,
      0.6707,
      0.6626,
      0.7189,
      0.6465,
      0.7327,
      0.6072,
      0.7408,
      0.5274,
      0.5596,
      0.5146,
      0.4737,
      0.5608,
      0.4491,
      0.6298,
      0.6159,
      0.4783,
      0.6016,
      0.528,
      0.7052,
      0.6245,
      0.5286,
      0.7792,
      0.7625,
      0.6599,
      0.5421,
      0.5783,
      0.4893,
      0.5647,
      0.6001,
      0.515,
      0.6506,
      0.4678,
      0.5489,
      0.5674,
      0.6621,
      0.5873,
      0.7105,
      0.5513,
      0.49,
      0.5525,
      0.4944,
      0.47,
      0.571,
      0.5417,
      0.6101,
      0.6109,
      0.5986,
      0.6343,
      0.5289,
      0.6744,
      0.6593,
      0.7291,
      0.5629,
      0.7321,
      0.5738,
      0.6561,
      0.5873,
      0.5442,
      0.5494,
      0.6508,
      0.5293,
      0.5451,
      0.6154,
      0.5164,
      0.6943,
      0.4021,
      0.599,
      0.4649,
      0.5251,
      0.5908,
      0.5938,
      0.6121,
      0.5474,
      0.5444,
      0.5895,
      0.5638,
      0.4539,
      0.5753,
      0.5913,
      0.5072,
      0.4817,
      0.4926,
      0.5349,
      0.4674,
      0.4551,
      0.5742,
      0.6168,
      0.6441,
      0.6121,
      0.7016,
      0.4949,
      0.6882,
      0.555,
      0.5055,
      0.4745,
      0.6123,
      0.6828,
      0.5994,
      0.7112,
      0.6837,
      0.7023,
      0.5174,
      0.7342,
      0.5496,
      0.6442,
      0.5941,
      0.5208,
      0.5725,
      0.6516,
      0.5146,
      0.4628,
      0.6159,
      0.5413,
      0.69,
      0.4386,
      0.5695,
      0.4644,
      0.5713,
      0.6096,
      0.6165,
      0.6058,
      0.617,
      0.5769,
      0.5901,
      0.6512,
      0.5251,
      0.5772,
      0.5263,
      0.4982,
      0.5195,
      0.4437,
      0.6147,
      0.5152,
      0.5575,
      0.4305,
      0.3846,
      0.2949,
      0.3855,
      0.34,
      0.4464,
      0.4568,
      0.3705,
      0.4842,
      0.4262,
      0.4716,
      0.5278,
      0.4617,
      0.6856,
      0.6999,
      0.6992,
      0.2783,
      0.1887,
      0,
      0,
      0,
      0,
      0.4255,
      0.4452,
      0.4769,
      0.5067,
      0.4901,
      0.4765,
      0.4411,
      0.438,
      0.4221,
      0.4063,
      0.4573,
      0.3334,
      0.3232,
      0.281,
      0.3391,
      0.3199,
      0.6923,
      0.8106,
      0.5968,
      0.6961,
      0.5616,
      0.7399,
      0.6776,
      0.6967,
      0.5021,
      0.5717,
      0.6867,
      0.4565,
      0.601,
      0.5428,
      0.7656,
      0.5212,
      0.454,
      0.6699,
      0.6245,
      0.5369,
      0.5323,
      0.6145,
      0.627,
      0.4749,
      0.5663,
      0.557,
      0.6174,
      0.5089,
      0.5782,
      0.5404,
      0.7793,
      0.5986,
      0.6619,
      0.5006,
      0.6677,
      0.4497,
      0.556,
      0.5175,
      0.4643,
      0.4486,
      0.4882,
      0.4878,
      0.3813,
      0.3945,
      0.3971,
      0.5434,
      0.3816,
      0.5688,
      0.6439,
      0.5356,
      0.6399,
      0.4632,
      0.5484,
      0.4502,
      0.5056,
      0.4451,
      0.409,
      0.5,
      0.5854,
      0.6145,
      0.5145,
      0.4206,
      0.4067,
      0.5246,
      0.4577,
      0.4725,
      0.6069,
      0.5681,
      0.5314,
      0.5282,
      0.4083,
      0.496,
      0.5231,
      0.5648,
      0.6696,
      0.6382,
      0.5482,
      0.5561,
      0.5162,
      0.661,
      0.541,
      0.74,
      0.4996,
      0.6843,
      0.6196,
      0.633,
      0.5999,
      0.4501,
      0.485,
      0.7536,
      0.5662,
      0.464,
      0.5978,
      0.5041,
      0.7253,
      0.4718,
      0.5734,
      0.564,
      0.5372,
      0.6042,
      0.4341,
      0.517,
      0.5027,
      0.4981,
      0.4297,
      0.3615,
      0.434,
      0.4889,
      0.5102,
      0.5802,
      0.5814,
      0.4255,
      0.5088,
      0.4105,
      0.5086,
      0.6364,
      0.5043,
      0.4208,
      0.5121,
      0.5042,
      0.4971,
      0.5023,
      0.5389,
      0.4413,
      0.3164,
      0.5828,
      0.5859,
      0.334,
      0.6599,
      0.4789,
      0.7247,
      0.7225,
      0.6826,
      0.5761,
      0.6928,
      0.5387,
      0.5963,
      0.4603,
      0.5988,
      0.716,
      0.4888,
      0.5969,
      0.5547,
      0.5318,
      0.6847,
      0.7204,
      0.6039,
      0.6417,
      0.4891,
      0.6261,
      0.8084,
      0.586,
      0.6613,
      0.6344,
      0.4013,
      0.5461,
      0.6237,
      0.5007,
      0.6331,
      0.4378,
      0.4484,
      0.6051,
      0.5599,
      0.6426,
      0.5989,
      0.5834,
      0.5445,
      0.5249,
      0.4259,
      0.4729,
      0.5351,
      0.5892,
      0.6642,
      0.6288,
      0.5478,
      0.5386,
      0.5142,
      0.6916,
      0.5511,
      0.7382,
      0.4989,
      0.6775,
      0.6597,
      0.6585,
      0.6229,
      0.4513,
      0.4963,
      0.7124,
      0.5516,
      0.4684,
      0.6134,
      0.4995,
      0.709,
      0.4953,
      0.5847,
      0.5426,
      0.5346,
      0.5654,
      0.458,
      0.5663,
      0.3738,
      0.4599,
      0.483,
      0.4953,
      0.3303,
      0.4918,
      0.4423,
      0.4819,
      0.4517,
      0.5197,
      0.4166,
      0.4582,
      0.4669,
      0.5768,
      0.4812,
      0.5055,
      0.485,
      0.4701,
      0.4689,
      0.6253,
      0.5011,
      0.6313,
      0.3785,
      0.7068,
      0.5887,
      0.6364,
      0.63,
      0.5727,
      0.7136,
      0.4561,
      0.6688,
      0.6437,
      0.6316,
      0.6298,
      0.4331,
      0.4895,
      0.722,
      0.4941,
      0.4693,
      0.5837,
      0.5409,
      0.6993,
      0.4006,
      0.5929,
      0.519,
      0.4996,
      0.6996,
      0.5838,
      0.5607,
      0.6697,
      0.5308,
      0.5799,
      0.6331,
      0.519,
      0.5495,
      0.5599,
      0.617,
      0.6472,
      0.3798,
      0.5811,
      0.4314,
      0.4993,
      0.6432,
      0.4286,
      0.2142,
      0.3679,
      0.3963,
      0.4382,
      0.5016,
      0.437,
      0.432,
      0.421,
      0.4225,
      0.5124,
      0.4071,
      0.6725,
      0.4295,
      0.6717,
      0.1768,
      0.0541,
      0,
      0,
      0,
      0,
      0.6059,
      0.5149,
      0.4502,
      0.4537,
      0.4684,
      0.2749,
      0.4614,
      0.282,
      0.423,
      0.3493,
      0.3598,
      0.3342,
      0.3268,
      0.2538,
      0.341,
      0.3227,
      0.6691,
      0.5917,
      0.5166,
      0.5988,
      0.5384,
      0.5965,
      0.544,
      0.6023,
      0.5297,
      0.5326,
      0.6983,
      0.5175,
      0.5739,
      0.4478,
      0.6988,
      0.3438,
      0.4576,
      0.62,
      0.537,
      0.4988,
      0.4988,
      0.5587,
      0.4747,
      0.488,
      0.4965,
      0.3472,
      0.4878,
      0.5502,
      0.5566,
      0.4063,
      0.6333,
      0.5537,
      0.6849,
      0.5275,
      0.6857,
      0.4246,
      0.5315,
      0.5482,
      0.4215,
      0.4316,
      0.3801,
      0.4465,
      0.4604,
      0.4966,
      0.3942,
      0.5689,
      0.4014,
      0.4618,
      0.5734,
      0.5111,
      0.5519,
      0.4892,
      0.5813,
      0.5509,
      0.5087,
      0.5265,
      0.46,
      0.3635,
      0.5722,
      0.6068,
      0.4564,
      0.5162,
      0.4464,
      0.4552,
      0.4326,
      0.4701,
      0.5727,
      0.5739,
      0.5375,
      0.5487,
      0.3675,
      0.4222,
      0.5196,
      0.6253,
      0.6122,
      0.5816,
      0.4181,
      0.5376,
      0.6255,
      0.6725,
      0.6209,
      0.7204,
      0.4963,
      0.6779,
      0.5983,
      0.5957,
      0.4359,
      0.3652,
      0.5246,
      0.6596,
      0.5692,
      0.5487,
      0.6554,
      0.564,
      0.7306,
      0.5367,
      0.5897,
      0.5524,
      0.4755,
      0.5947,
      0.427,
      0.5757,
      0.5704,
      0.502,
      0.5049,
      0.3479,
      0.4732,
      0.5305,
      0.5092,
      0.3995,
      0.6158,
      0.4117,
      0.4579,
      0.42,
      0.322,
      0.6312,
      0.5198,
      0.3042,
      0.551,
      0.5759,
      0.3533,
      0.4172,
      0.4556,
      0.5149,
      0.4835,
      0.474,
      0.6046,
      0.2625,
      0.6257,
      0.5724,
      0.6911,
      0.6323,
      0.6719,
      0.5988,
      0.5074,
      0.5281,
      0.3583,
      0.5304,
      0.7172,
      0.5902,
      0.5631,
      0.5627,
      0.5086,
      0.5075,
      0.6383,
      0.6798,
      0.5027,
      0.6946,
      0.6647,
      0.5609,
      0.5657,
      0.5539,
      0.5705,
      0.5684,
      0.4416,
      0.5763,
      0.6274,
      0.7068,
      0.5159,
      0.5214,
      0.374,
      0.444,
      0.4508,
      0.5346,
      0.6169,
      0.578,
      0.539,
      0.5509,
      0.3958,
      0.3895,
      0.5043,
      0.5879,
      0.6006,
      0.5404,
      0.469,
      0.553,
      0.5616,
      0.6787,
      0.5999,
      0.7131,
      0.4834,
      0.6695,
      0.6311,
      0.6277,
      0.464,
      0.4255,
      0.5052,
      0.6625,
      0.5662,
      0.5607,
      0.6352,
      0.5342,
      0.6698,
      0.5479,
      0.595,
      0.5491,
      0.5033,
      0.5615,
      0.5381,
      0.5826,
      0.5705,
      0.4693,
      0.5667,
      0.5389,
      0.3785,
      0.5912,
      0.4943,
      0.537,
      0.5038,
      0.5864,
      0.3792,
      0.4873,
      0.4501,
      0.5147,
      0.5907,
      0.4008,
      0.5361,
      0.4171,
      0.4421,
      0.5946,
      0.4708,
      0.5557,
      0.4775,
      0.7257,
      0.6322,
      0.5553,
      0.5998,
      0.496,
      0.6925,
      0.5244,
      0.6685,
      0.6579,
      0.5955,
      0.5197,
      0.3781,
      0.4986,
      0.6736,
      0.5566,
      0.5682,
      0.6305,
      0.5139,
      0.658,
      0.449,
      0.6027,
      0.5269,
      0.4848,
      0.6837,
      0.5519,
      0.5613,
      0.6368,
      0.5218,
      0.6328,
      0.5087,
      0.4917,
      0.565,
      0.6502,
      0.6068,
      0.6617,
      0.4042,
      0.5528,
      0.4393,
      0.4902,
      0.5601,
      0.3943,
      0.2627,
      0.3334,
      0.3689,
      0.3769,
      0.4568,
      0.479,
      0.4065,
      0.3282,
      0.3528,
      0.4996,
      0.3684,
      0.6425,
      0.4243,
      0.7001,
      0.1674,
      0.0207,
      0,
      0,
      0,
      0,
      0.4756,
      0.4918,
      0.3843,
      0.3884,
      0.3483,
      0.298,
      0.3007,
      0.411,
      0.4023,
      0.3352,
      0.3876,
      0.3775,
      0.2807,
      0.2681,
      0.4046,
      0.4566,
      0.7076,
      0.4732,
      0.2558,
      0.4675,
      0.3582,
      0.522,
      0.4698,
      0.4646,
      0.5598,
      0.4621,
      0.5452,
      0.4141,
      0.6012,
      0.5091,
      0.4883,
      0.3457,
      0.4737,
      0.487,
      0.4764,
      0.4059,
      0.3748,
      0.5575,
      0.4321,
      0.5194,
      0.4159,
      0.4014,
      0.5937,
      0.4285,
      0.6153,
      0.339,
      0.6302,
      0.4609,
      0.632,
      0.4815,
      0.654,
      0.3987,
      0.4508,
      0.5,
      0.4562,
      0.5158,
      0.4784,
      0.5364,
      0.5078,
      0.6038,
      0.4613,
      0.5987,
      0.4898,
      0.4595,
      0.3551,
      0.5572,
      0.4036,
      0.3563,
      0.3993,
      0.5091,
      0.4075,
      0.3342,
      0.3695,
      0.5531,
      0.5189,
      0.4992,
      0.4961,
      0.5014,
      0.4775,
      0.4924,
      0.3321,
      0.5113,
      0.5331,
      0.5097,
      0.5791,
      0.5859,
      0.3663,
      0.6526,
      0.4825,
      0.5139,
      0.5056,
      0.538,
      0.554,
      0.5749,
      0.6259,
      0.6879,
      0.6117,
      0.6428,
      0.4345,
      0.6542,
      0.6751,
      0.6577,
      0.5025,
      0.4385,
      0.4913,
      0.5484,
      0.5629,
      0.4895,
      0.5709,
      0.5947,
      0.579,
      0.4247,
      0.6882,
      0.4323,
      0.5081,
      0.6789,
      0.3624,
      0.328,
      0.5399,
      0.319,
      0.4417,
      0.4075,
      0.5222,
      0.4001,
      0.4468,
      0.4396,
      0.6217,
      0.3746,
      0.4741,
      0.3483,
      0.4058,
      0.5618,
      0.3876,
      0.2813,
      0.5153,
      0.4735,
      0.4242,
      0.4152,
      0.4392,
      0.3724,
      0.476,
      0.4129,
      0.6252,
      0.3353,
      0.6227,
      0.5095,
      0.6187,
      0.509,
      0.662,
      0.5252,
      0.53,
      0.5056,
      0.3277,
      0.3854,
      0.6567,
      0.5262,
      0.6533,
      0.4751,
      0.5083,
      0.5207,
      0.4111,
      0.4506,
      0.5005,
      0.6723,
      0.383,
      0.5181,
      0.4393,
      0.4529,
      0.4241,
      0.4321,
      0.3864,
      0.5974,
      0.5762,
      0.7354,
      0.5304,
      0.4869,
      0.433,
      0.4736,
      0.4085,
      0.5533,
      0.5309,
      0.4884,
      0.5899,
      0.5946,
      0.3592,
      0.6798,
      0.4985,
      0.5227,
      0.4987,
      0.5178,
      0.5573,
      0.6088,
      0.565,
      0.6878,
      0.5828,
      0.6078,
      0.4634,
      0.6506,
      0.6858,
      0.6657,
      0.5054,
      0.3844,
      0.4783,
      0.5761,
      0.5205,
      0.5464,
      0.5834,
      0.603,
      0.5986,
      0.4346,
      0.6229,
      0.4038,
      0.5006,
      0.3919,
      0.2806,
      0.4886,
      0.6772,
      0.3245,
      0.269,
      0.4655,
      0.43,
      0.5791,
      0.4483,
      0.5379,
      0.4972,
      0.6513,
      0.3602,
      0.4677,
      0.3136,
      0.5333,
      0.5193,
      0.4381,
      0.4817,
      0.5639,
      0.5142,
      0.5134,
      0.4701,
      0.642,
      0.6098,
      0.5975,
      0.638,
      0.4548,
      0.6685,
      0.5418,
      0.6486,
      0.3626,
      0.6335,
      0.6755,
      0.6664,
      0.5279,
      0.4362,
      0.5206,
      0.5902,
      0.5295,
      0.5115,
      0.6013,
      0.5915,
      0.5681,
      0.5146,
      0.5942,
      0.3991,
      0.5352,
      0.6374,
      0.58,
      0.5136,
      0.6833,
      0.4255,
      0.6044,
      0.5044,
      0.5596,
      0.4474,
      0.6785,
      0.6759,
      0.7081,
      0.3652,
      0.6678,
      0.4613,
      0.4399,
      0.4785,
      0.4306,
      0.3208,
      0.4124,
      0.385,
      0.4402,
      0.4769,
      0.4465,
      0.3575,
      0.3591,
      0.3875,
      0.5533,
      0.4049,
      0.6479,
      0.3919,
      0.6277,
      0.1793,
      0.0263,
      0,
      0,
      0,
      0,
      0.4574,
      0.4649,
      0.354,
      0.3946,
      0.3553,
      0.3156,
      0.3126,
      0.6543,
      0.6205,
      0.4317,
      0.4054,
      0.4409,
      0.4191,
      0.3629,
      0.3936,
      0.5606,
      0.6244,
      0.4707,
      0.3018,
      0.6437,
      0.3775,
      0.4886,
      0.454,
      0.4636,
      0.6338,
      0.4819,
      0.6045,
      0.4682,
      0.6329,
      0.4412,
      0.3919,
      0.3435,
      0.4093,
      0.5818,
      0.4416,
      0.4846,
      0.4627,
      0.536,
      0.4425,
      0.424,
      0.6446,
      0.416,
      0.6749,
      0.4563,
      0.6613,
      0.3675,
      0.6286,
      0.4415,
      0.6223,
      0.5527,
      0.7169,
      0.5412,
      0.5299,
      0.5287,
      0.421,
      0.4656,
      0.5698,
      0.582,
      0.4195,
      0.4627,
      0.4142,
      0.6007,
      0.5631,
      0.4831,
      0.4126,
      0.5237,
      0.4344,
      0.4279,
      0.4225,
      0.5317,
      0.4619,
      0.3019,
      0.469,
      0.619,
      0.5086,
      0.5277,
      0.4347,
      0.5033,
      0.4763,
      0.4082,
      0.4702,
      0.4574,
      0.5129,
      0.4277,
      0.5485,
      0.5406,
      0.3437,
      0.6813,
      0.5585,
      0.6577,
      0.5534,
      0.5381,
      0.4955,
      0.5737,
      0.6129,
      0.6305,
      0.5651,
      0.6383,
      0.516,
      0.666,
      0.6542,
      0.6524,
      0.5712,
      0.4446,
      0.5474,
      0.5873,
      0.6695,
      0.6762,
      0.6225,
      0.5367,
      0.5837,
      0.4931,
      0.7706,
      0.4427,
      0.5351,
      0.462,
      0.3332,
      0.4232,
      0.6271,
      0.5457,
      0.5092,
      0.3642,
      0.6551,
      0.4721,
      0.4506,
      0.4464,
      0.6952,
      0.5235,
      0.4795,
      0.3794,
      0.3461,
      0.4994,
      0.4082,
      0.3438,
      0.4691,
      0.529,
      0.4183,
      0.3977,
      0.6164,
      0.4354,
      0.5719,
      0.4431,
      0.6207,
      0.3889,
      0.6219,
      0.4402,
      0.6233,
      0.5494,
      0.6478,
      0.4991,
      0.6025,
      0.5649,
      0.3518,
      0.3645,
      0.5964,
      0.5899,
      0.6975,
      0.536,
      0.4982,
      0.5092,
      0.4496,
      0.4555,
      0.4809,
      0.7011,
      0.4039,
      0.4859,
      0.4838,
      0.4611,
      0.4502,
      0.5478,
      0.4703,
      0.6789,
      0.5849,
      0.7488,
      0.4665,
      0.3886,
      0.4625,
      0.4419,
      0.401,
      0.4885,
      0.5039,
      0.4399,
      0.5376,
      0.5082,
      0.2798,
      0.7006,
      0.5803,
      0.6461,
      0.5623,
      0.5458,
      0.498,
      0.575,
      0.5311,
      0.6528,
      0.6085,
      0.6531,
      0.5145,
      0.6727,
      0.651,
      0.6589,
      0.5806,
      0.4947,
      0.552,
      0.5535,
      0.6766,
      0.6693,
      0.6241,
      0.5294,
      0.5767,
      0.4828,
      0.7564,
      0.4558,
      0.5284,
      0.3238,
      0.3167,
      0.4892,
      0.4096,
      0.3228,
      0.3029,
      0.3988,
      0.6519,
      0.4344,
      0.3965,
      0.5737,
      0.4092,
      0.6972,
      0.4135,
      0.538,
      0.365,
      0.4729,
      0.5747,
      0.343,
      0.4895,
      0.4957,
      0.4814,
      0.592,
      0.6491,
      0.4677,
      0.5929,
      0.4926,
      0.6164,
      0.455,
      0.6462,
      0.4625,
      0.6337,
      0.4331,
      0.6638,
      0.6647,
      0.653,
      0.5738,
      0.4226,
      0.5819,
      0.5614,
      0.6785,
      0.6886,
      0.6056,
      0.5044,
      0.5631,
      0.571,
      0.7464,
      0.442,
      0.4914,
      0.6004,
      0.5362,
      0.4686,
      0.4934,
      0.4629,
      0.7364,
      0.6284,
      0.6719,
      0.5401,
      0.683,
      0.6488,
      0.635,
      0.4005,
      0.7399,
      0.4005,
      0.4571,
      0.4912,
      0.4411,
      0.4019,
      0.4529,
      0.3424,
      0.4638,
      0.4904,
      0.4322,
      0.4979,
      0.4398,
      0.4752,
      0.5947,
      0.3415,
      0.6387,
      0.4163,
      0.6548,
      0.1663,
      0,
      0,
      0,
      0,
      0,
      0.5301,
      0.4188,
      0.4517,
      0.3942,
      0.3922,
      0.2397,
      0.3274,
      0.5033,
      0.5045,
      0.5747,
      0.5578,
      0.5541,
      0.5522,
      0.4525,
      0.6161,
      0.5764,
      0.7035,
      0.4829,
      0.4028,
      0.6597,
      0.4119,
      0.4426,
      0.3615,
      0.3546,
      0.5915,
      0.602,
      0.6061,
      0.6293,
      0.6257,
      0.602,
      0.511,
      0.5289,
      0.5025,
      0.5382,
      0.3624,
      0.6214,
      0.5442,
      0.4897,
      0.4617,
      0.5236,
      0.4051,
      0.5776,
      0.651,
      0.7043,
      0.7294,
      0.599,
      0.7243,
      0.6949,
      0.7345,
      0.5151,
      0.6984,
      0.6403,
      0.5568,
      0.5578,
      0.4163,
      0.367,
      0.5086,
      0.5423,
      0.4922,
      0.4422,
      0.5322,
      0.6269,
      0.6932,
      0.5837,
      0.4888,
      0.6808,
      0.4254,
      0.4034,
      0.3863,
      0.4943,
      0.4842,
      0.3632,
      0.4105,
      0.6043,
      0.5742,
      0.6701,
      0.6292,
      0.6064,
      0.652,
      0.5539,
      0.583,
      0.554,
      0.5069,
      0.4695,
      0.5496,
      0.4858,
      0.3618,
      0.5424,
      0.5074,
      0.5246,
      0.6085,
      0.5882,
      0.6366,
      0.6077,
      0.6636,
      0.6931,
      0.6708,
      0.7089,
      0.4993,
      0.6871,
      0.6398,
      0.6155,
      0.6132,
      0.4644,
      0.5221,
      0.4433,
      0.5729,
      0.7024,
      0.6101,
      0.5871,
      0.6722,
      0.5029,
      0.7329,
      0.4627,
      0.6805,
      0.4244,
      0.3029,
      0.3764,
      0.6011,
      0.5448,
      0.363,
      0.373,
      0.6141,
      0.5968,
      0.6032,
      0.6257,
      0.611,
      0.6604,
      0.5854,
      0.4841,
      0.497,
      0.4914,
      0.3953,
      0.3045,
      0.5078,
      0.5096,
      0.5286,
      0.4317,
      0.4312,
      0.5643,
      0.6318,
      0.6858,
      0.6433,
      0.6299,
      0.7175,
      0.6513,
      0.7424,
      0.5201,
      0.6661,
      0.4947,
      0.5911,
      0.5397,
      0.392,
      0.3796,
      0.4693,
      0.4416,
      0.5876,
      0.6397,
      0.575,
      0.5759,
      0.5012,
      0.5813,
      0.5288,
      0.649,
      0.4162,
      0.5548,
      0.4593,
      0.4555,
      0.4346,
      0.5814,
      0.424,
      0.6373,
      0.6463,
      0.7333,
      0.6201,
      0.6594,
      0.6477,
      0.4834,
      0.5558,
      0.5213,
      0.5184,
      0.5333,
      0.5737,
      0.5529,
      0.3961,
      0.6174,
      0.4994,
      0.5008,
      0.6092,
      0.6236,
      0.6213,
      0.6066,
      0.6352,
      0.7116,
      0.6675,
      0.7123,
      0.4961,
      0.6618,
      0.6497,
      0.6448,
      0.614,
      0.4716,
      0.567,
      0.4809,
      0.5526,
      0.7101,
      0.5923,
      0.582,
      0.7179,
      0.5291,
      0.7272,
      0.4805,
      0.6772,
      0.3469,
      0.3324,
      0.5203,
      0.3891,
      0.3016,
      0.3965,
      0.413,
      0.5945,
      0.5998,
      0.6345,
      0.6813,
      0.6392,
      0.7394,
      0.5457,
      0.6088,
      0.6173,
      0.4452,
      0.545,
      0.3963,
      0.4372,
      0.4868,
      0.4329,
      0.5803,
      0.4668,
      0.5738,
      0.6277,
      0.6878,
      0.6464,
      0.6331,
      0.7261,
      0.6788,
      0.7307,
      0.4409,
      0.6724,
      0.6395,
      0.621,
      0.6184,
      0.4262,
      0.5527,
      0.4552,
      0.541,
      0.6631,
      0.566,
      0.5771,
      0.6961,
      0.5309,
      0.7151,
      0.4501,
      0.6789,
      0.5626,
      0.529,
      0.456,
      0.5096,
      0.3939,
      0.5989,
      0.5643,
      0.6342,
      0.5985,
      0.6748,
      0.7198,
      0.6115,
      0.6595,
      0.6398,
      0.6067,
      0.6321,
      0.4504,
      0.3768,
      0.3631,
      0.4257,
      0.3578,
      0.4892,
      0.487,
      0.4519,
      0.5072,
      0.4491,
      0.4439,
      0.565,
      0.3909,
      0.7122,
      0.3465,
      0.6859,
      0.1646,
      0,
      0,
      0,
      0,
      0,
      0.4767,
      0.4813,
      0.4867,
      0.431,
      0.4103,
      0.3657,
      0.3083,
      0.4164,
      0.4526,
      0.414,
      0.4709,
      0.4513,
      0.3952,
      0.3427,
      0.5475,
      0.5034,
      0.6409,
      0.5119,
      0.474,
      0.5635,
      0.3135,
      0.4468,
      0.3934,
      0.4548,
      0.6049,
      0.4991,
      0.515,
      0.5156,
      0.693,
      0.4445,
      0.4359,
      0.3923,
      0.4878,
      0.4827,
      0.5212,
      0.731,
      0.4928,
      0.5125,
      0.5234,
      0.5934,
      0.5006,
      0.5677,
      0.563,
      0.4374,
      0.7558,
      0.4508,
      0.6675,
      0.6408,
      0.692,
      0.5422,
      0.5876,
      0.575,
      0.5817,
      0.4929,
      0.4345,
      0.4392,
      0.6048,
      0.5064,
      0.4456,
      0.4632,
      0.497,
      0.6439,
      0.5268,
      0.4885,
      0.418,
      0.5849,
      0.4675,
      0.4358,
      0.4492,
      0.4845,
      0.4262,
      0.3702,
      0.6451,
      0.58,
      0.5016,
      0.5595,
      0.6476,
      0.5987,
      0.4348,
      0.3691,
      0.4516,
      0.4744,
      0.6292,
      0.5537,
      0.5487,
      0.513,
      0.4733,
      0.498,
      0.5725,
      0.5207,
      0.5299,
      0.6028,
      0.5557,
      0.6082,
      0.5755,
      0.6969,
      0.6184,
      0.7067,
      0.4463,
      0.6088,
      0.617,
      0.5936,
      0.6726,
      0.4724,
      0.5278,
      0.4919,
      0.5762,
      0.6693,
      0.6217,
      0.5458,
      0.6869,
      0.5004,
      0.6905,
      0.4298,
      0.5064,
      0.5557,
      0.3856,
      0.4264,
      0.6856,
      0.4438,
      0.3509,
      0.4364,
      0.5692,
      0.4527,
      0.526,
      0.452,
      0.6274,
      0.5053,
      0.4947,
      0.4608,
      0.3445,
      0.5041,
      0.5239,
      0.347,
      0.4474,
      0.4838,
      0.5098,
      0.5575,
      0.4668,
      0.5217,
      0.5554,
      0.4061,
      0.6376,
      0.515,
      0.6868,
      0.492,
      0.6861,
      0.4548,
      0.5742,
      0.5274,
      0.6442,
      0.4973,
      0.3398,
      0.2836,
      0.4927,
      0.5198,
      0.5637,
      0.5376,
      0.522,
      0.4695,
      0.6102,
      0.4601,
      0.7197,
      0.6564,
      0.5143,
      0.5441,
      0.5005,
      0.453,
      0.4276,
      0.5549,
      0.4472,
      0.5821,
      0.633,
      0.5551,
      0.461,
      0.4852,
      0.5678,
      0.4552,
      0.4565,
      0.5792,
      0.6352,
      0.5699,
      0.5523,
      0.5338,
      0.492,
      0.5573,
      0.555,
      0.5608,
      0.5233,
      0.6019,
      0.5137,
      0.6003,
      0.5699,
      0.6962,
      0.5821,
      0.7234,
      0.4153,
      0.5945,
      0.593,
      0.59,
      0.6566,
      0.5051,
      0.5176,
      0.5136,
      0.5794,
      0.6664,
      0.5969,
      0.534,
      0.5857,
      0.5168,
      0.6642,
      0.4074,
      0.5161,
      0.5444,
      0.4171,
      0.61,
      0.413,
      0.2906,
      0.4838,
      0.5355,
      0.4512,
      0.4153,
      0.441,
      0.6292,
      0.4643,
      0.6766,
      0.4481,
      0.506,
      0.6482,
      0.5172,
      0.5626,
      0.5398,
      0.5288,
      0.4654,
      0.5376,
      0.6274,
      0.5487,
      0.5643,
      0.5206,
      0.5188,
      0.6612,
      0.4107,
      0.6963,
      0.5112,
      0.7114,
      0.3662,
      0.6065,
      0.5849,
      0.6124,
      0.6547,
      0.4773,
      0.48,
      0.5041,
      0.5952,
      0.5755,
      0.6225,
      0.5264,
      0.5726,
      0.5541,
      0.6434,
      0.4151,
      0.5331,
      0.5231,
      0.5147,
      0.4832,
      0.6206,
      0.4457,
      0.6091,
      0.7089,
      0.6041,
      0.5295,
      0.6459,
      0.5824,
      0.5351,
      0.3872,
      0.5369,
      0.4612,
      0.4924,
      0.5086,
      0.4627,
      0.3651,
      0.4656,
      0.3932,
      0.463,
      0.5566,
      0.4615,
      0.4369,
      0.426,
      0.4516,
      0.6139,
      0.2357,
      0.6347,
      0.2895,
      0.6845,
      0.1008,
      0,
      0,
      0,
      0,
      0,
      0.5289,
      0.5728,
      0.6333,
      0.6471,
      0.6032,
      0.6571,
      0.6662,
      0.4577,
      0.4807,
      0.3757,
      0.5191,
      0.4498,
      0.509,
      0.4735,
      0.4691,
      0.4338,
      0.6608,
      0.6042,
      0.7165,
      0.6533,
      0.5171,
      0.6132,
      0.5701,
      0.5462,
      0.5495,
      0.5499,
      0.5575,
      0.4753,
      0.656,
      0.4623,
      0.4368,
      0.5557,
      0.4193,
      0.7585,
      0.5621,
      0.5493,
      0.5147,
      0.4631,
      0.5849,
      0.5567,
      0.4589,
      0.5591,
      0.5817,
      0.59,
      0.6567,
      0.5093,
      0.7119,
      0.5335,
      0.6901,
      0.5461,
      0.6104,
      0.629,
      0.5679,
      0.617,
      0.601,
      0.5581,
      0.4978,
      0.5536,
      0.3905,
      0.4766,
      0.4105,
      0.6161,
      0.5744,
      0.623,
      0.4443,
      0.6157,
      0.6144,
      0.5701,
      0.5917,
      0.5919,
      0.6103,
      0.5365,
      0.5782,
      0.5446,
      0.5736,
      0.4287,
      0.5455,
      0.5634,
      0.4323,
      0.4221,
      0.4174,
      0.4459,
      0.5167,
      0.6949,
      0.525,
      0.4906,
      0.4107,
      0.472,
      0.6156,
      0.5473,
      0.5277,
      0.6312,
      0.5432,
      0.6688,
      0.6526,
      0.7072,
      0.6069,
      0.6553,
      0.4586,
      0.566,
      0.689,
      0.6492,
      0.6977,
      0.5635,
      0.5865,
      0.4953,
      0.5595,
      0.5803,
      0.6076,
      0.5408,
      0.6595,
      0.5266,
      0.6837,
      0.5199,
      0.6014,
      0.5674,
      0.5367,
      0.5462,
      0.615,
      0.6124,
      0.5341,
      0.5123,
      0.478,
      0.5416,
      0.5219,
      0.4371,
      0.6357,
      0.5868,
      0.4564,
      0.4111,
      0.4151,
      0.4373,
      0.5387,
      0.44,
      0.5087,
      0.4855,
      0.5511,
      0.5513,
      0.4723,
      0.5504,
      0.5906,
      0.5479,
      0.6789,
      0.5237,
      0.717,
      0.541,
      0.6703,
      0.5132,
      0.6024,
      0.5923,
      0.698,
      0.5133,
      0.5897,
      0.5517,
      0.5171,
      0.587,
      0.5238,
      0.4795,
      0.6173,
      0.5268,
      0.5784,
      0.458,
      0.7503,
      0.5988,
      0.5477,
      0.638,
      0.6054,
      0.5533,
      0.6188,
      0.5825,
      0.5425,
      0.5547,
      0.6221,
      0.4923,
      0.5734,
      0.445,
      0.614,
      0.3697,
      0.5019,
      0.5797,
      0.4547,
      0.6885,
      0.5088,
      0.5196,
      0.4532,
      0.5443,
      0.6081,
      0.5983,
      0.5248,
      0.6283,
      0.5533,
      0.6412,
      0.5979,
      0.7315,
      0.6709,
      0.6696,
      0.4615,
      0.6096,
      0.6999,
      0.6931,
      0.7006,
      0.5613,
      0.6166,
      0.5273,
      0.5538,
      0.5574,
      0.6387,
      0.5118,
      0.6479,
      0.5293,
      0.728,
      0.5313,
      0.6123,
      0.594,
      0.6044,
      0.5991,
      0.5552,
      0.5964,
      0.6023,
      0.6106,
      0.4227,
      0.5874,
      0.4338,
      0.5868,
      0.4849,
      0.6323,
      0.379,
      0.4819,
      0.4112,
      0.454,
      0.5811,
      0.6182,
      0.5874,
      0.5452,
      0.5434,
      0.5977,
      0.5434,
      0.5277,
      0.4615,
      0.554,
      0.7057,
      0.5527,
      0.7154,
      0.4502,
      0.7032,
      0.4361,
      0.6274,
      0.6928,
      0.6805,
      0.6903,
      0.5577,
      0.6158,
      0.525,
      0.5339,
      0.5604,
      0.6197,
      0.5018,
      0.6447,
      0.6412,
      0.692,
      0.4664,
      0.5493,
      0.5546,
      0.5894,
      0.5718,
      0.6869,
      0.625,
      0.6288,
      0.6876,
      0.5275,
      0.5373,
      0.6244,
      0.6198,
      0.6397,
      0.3977,
      0.6219,
      0.4914,
      0.4761,
      0.394,
      0.3753,
      0.3312,
      0.4182,
      0.3548,
      0.4298,
      0.4863,
      0.5544,
      0.4094,
      0.4688,
      0.4256,
      0.6182,
      0.3149,
      0.65,
      0.3754,
      0.6572,
      0.1917,
      0,
      0,
      0,
      0,
      0,
      0.5106,
      0.5077,
      0.5078,
      0.4034,
      0.4174,
      0.3645,
      0.3403,
      0.3755,
      0.4258,
      0.3744,
      0.3098,
      0.3937,
      0.3242,
      0.2462,
      0.2748,
      0.3314,
      0.6397,
      0.6555,
      0.6149,
      0.5932,
      0.4421,
      0.7953,
      0.5978,
      0.6168,
      0.5448,
      0.5605,
      0.5028,
      0.4764,
      0.6286,
      0.5392,
      0.644,
      0.5161,
      0.3935,
      0.7489,
      0.5307,
      0.4899,
      0.5536,
      0.5886,
      0.5331,
      0.5662,
      0.4824,
      0.5533,
      0.557,
      0.4962,
      0.678,
      0.6455,
      0.8003,
      0.6379,
      0.7417,
      0.427,
      0.6302,
      0.6404,
      0.5999,
      0.5602,
      0.5028,
      0.4911,
      0.4491,
      0.5402,
      0.4297,
      0.4483,
      0.5175,
      0.6371,
      0.5264,
      0.6217,
      0.6648,
      0.5903,
      0.6449,
      0.5454,
      0.5619,
      0.4552,
      0.4412,
      0.5345,
      0.458,
      0.4664,
      0.5336,
      0.5321,
      0.5736,
      0.5231,
      0.4396,
      0.5562,
      0.448,
      0.4759,
      0.5961,
      0.6367,
      0.5575,
      0.5493,
      0.5264,
      0.5033,
      0.6063,
      0.6899,
      0.4995,
      0.6536,
      0.543,
      0.6451,
      0.6382,
      0.7704,
      0.6675,
      0.7664,
      0.4624,
      0.6812,
      0.6404,
      0.5928,
      0.7048,
      0.5382,
      0.5851,
      0.6486,
      0.575,
      0.6167,
      0.6368,
      0.5559,
      0.6385,
      0.4495,
      0.6009,
      0.4591,
      0.5621,
      0.4748,
      0.497,
      0.4193,
      0.615,
      0.4142,
      0.3541,
      0.4189,
      0.535,
      0.619,
      0.531,
      0.5593,
      0.6308,
      0.5505,
      0.4509,
      0.4598,
      0.4929,
      0.5104,
      0.4815,
      0.4196,
      0.4524,
      0.4791,
      0.5049,
      0.5253,
      0.5369,
      0.5978,
      0.5223,
      0.5626,
      0.7103,
      0.4105,
      0.765,
      0.4424,
      0.7587,
      0.5094,
      0.6064,
      0.4898,
      0.5893,
      0.4679,
      0.4155,
      0.282,
      0.5854,
      0.6249,
      0.5101,
      0.5012,
      0.4572,
      0.4758,
      0.8267,
      0.5619,
      0.59,
      0.574,
      0.487,
      0.505,
      0.6467,
      0.4617,
      0.5618,
      0.4355,
      0.4668,
      0.4893,
      0.5028,
      0.4854,
      0.4914,
      0.4438,
      0.5711,
      0.4932,
      0.4624,
      0.5723,
      0.5665,
      0.6323,
      0.5161,
      0.5433,
      0.5047,
      0.5396,
      0.6171,
      0.6615,
      0.5268,
      0.6412,
      0.5388,
      0.6709,
      0.6285,
      0.7551,
      0.6718,
      0.764,
      0.4546,
      0.6568,
      0.6406,
      0.5851,
      0.6976,
      0.568,
      0.5578,
      0.6016,
      0.5456,
      0.6284,
      0.6322,
      0.5507,
      0.6512,
      0.4318,
      0.6789,
      0.4736,
      0.5126,
      0.4175,
      0.3572,
      0.4457,
      0.5223,
      0.3011,
      0.4238,
      0.4746,
      0.4841,
      0.4383,
      0.4245,
      0.5612,
      0.3714,
      0.6032,
      0.4504,
      0.46,
      0.4411,
      0.4728,
      0.5288,
      0.4353,
      0.4399,
      0.5184,
      0.5526,
      0.5462,
      0.4502,
      0.431,
      0.4546,
      0.6075,
      0.7198,
      0.4239,
      0.7683,
      0.5903,
      0.7565,
      0.4219,
      0.669,
      0.6552,
      0.6035,
      0.6994,
      0.5468,
      0.5781,
      0.5897,
      0.5677,
      0.6236,
      0.6229,
      0.5667,
      0.6392,
      0.5272,
      0.6657,
      0.4326,
      0.4967,
      0.5279,
      0.535,
      0.4741,
      0.7186,
      0.5168,
      0.5701,
      0.5912,
      0.4944,
      0.4594,
      0.6799,
      0.5997,
      0.5589,
      0.3849,
      0.5525,
      0.4941,
      0.5113,
      0.56,
      0.4714,
      0.4324,
      0.4719,
      0.5046,
      0.5646,
      0.5604,
      0.5279,
      0.5061,
      0.4647,
      0.506,
      0.5952,
      0.3916,
      0.7787,
      0.3679,
      0.7613,
      0.1335,
      0.0325,
      0,
      0,
      0,
      0,
      0.3339,
      0.425,
      0.4641,
      0.408,
      0.4073,
      0.3764,
      0.4016,
      0.3418,
      0.4757,
      0.3741,
      0.3402,
      0.3014,
      0.3163,
      0.3142,
      0.3422,
      0.3646,
      0.6372,
      0.584,
      0.5566,
      0.5445,
      0.511,
      0.6046,
      0.4709,
      0.6106,
      0.5619,
      0.5113,
      0.5548,
      0.4557,
      0.6349,
      0.4273,
      0.6071,
      0.4655,
      0.3608,
      0.5804,
      0.5376,
      0.4403,
      0.4181,
      0.4952,
      0.5455,
      0.5231,
      0.5131,
      0.4929,
      0.5824,
      0.5313,
      0.6687,
      0.4356,
      0.7001,
      0.6177,
      0.7242,
      0.4671,
      0.6095,
      0.6492,
      0.5355,
      0.6074,
      0.535,
      0.4877,
      0.4188,
      0.5449,
      0.4927,
      0.4427,
      0.4959,
      0.6691,
      0.5836,
      0.4142,
      0.501,
      0.5501,
      0.4744,
      0.4678,
      0.4321,
      0.4714,
      0.435,
      0.4477,
      0.421,
      0.5117,
      0.5627,
      0.552,
      0.484,
      0.5562,
      0.4164,
      0.4913,
      0.4626,
      0.5137,
      0.5089,
      0.7005,
      0.4922,
      0.5238,
      0.4856,
      0.5571,
      0.6273,
      0.6098,
      0.4687,
      0.6627,
      0.4318,
      0.5954,
      0.5783,
      0.7648,
      0.6214,
      0.7555,
      0.4593,
      0.689,
      0.5861,
      0.6168,
      0.6666,
      0.5942,
      0.5203,
      0.5628,
      0.5912,
      0.6767,
      0.5453,
      0.4842,
      0.5714,
      0.4914,
      0.6325,
      0.5643,
      0.543,
      0.5622,
      0.3676,
      0.4168,
      0.5874,
      0.4684,
      0.3578,
      0.4131,
      0.5223,
      0.5572,
      0.5852,
      0.4552,
      0.5667,
      0.3921,
      0.4578,
      0.4263,
      0.3732,
      0.6858,
      0.5552,
      0.2863,
      0.5296,
      0.5064,
      0.5479,
      0.5382,
      0.4591,
      0.539,
      0.6115,
      0.5219,
      0.6568,
      0.3533,
      0.7144,
      0.4622,
      0.7376,
      0.4445,
      0.5659,
      0.51,
      0.5213,
      0.5696,
      0.4741,
      0.4553,
      0.6336,
      0.6086,
      0.4965,
      0.5052,
      0.4235,
      0.3685,
      0.578,
      0.6284,
      0.4443,
      0.581,
      0.6216,
      0.4448,
      0.449,
      0.4753,
      0.514,
      0.4747,
      0.3715,
      0.5667,
      0.5964,
      0.4821,
      0.3979,
      0.4754,
      0.4594,
      0.48,
      0.5238,
      0.499,
      0.554,
      0.6878,
      0.4941,
      0.4608,
      0.4795,
      0.551,
      0.618,
      0.6186,
      0.4635,
      0.6532,
      0.4281,
      0.5736,
      0.5381,
      0.7569,
      0.6869,
      0.7435,
      0.4648,
      0.6434,
      0.5916,
      0.6271,
      0.6666,
      0.5412,
      0.4836,
      0.6474,
      0.6121,
      0.6881,
      0.546,
      0.4838,
      0.57,
      0.4915,
      0.5897,
      0.5487,
      0.5619,
      0.3666,
      0.3592,
      0.5413,
      0.3643,
      0.3421,
      0.5007,
      0.4007,
      0.421,
      0.3939,
      0.4591,
      0.6158,
      0.4275,
      0.5831,
      0.678,
      0.4604,
      0.4545,
      0.4976,
      0.6133,
      0.3103,
      0.5049,
      0.5008,
      0.5604,
      0.5796,
      0.4967,
      0.4266,
      0.5486,
      0.6602,
      0.6663,
      0.396,
      0.7074,
      0.589,
      0.7264,
      0.3662,
      0.6718,
      0.5982,
      0.6284,
      0.6478,
      0.5218,
      0.5465,
      0.6342,
      0.5857,
      0.627,
      0.4952,
      0.4722,
      0.5886,
      0.596,
      0.5939,
      0.456,
      0.561,
      0.5717,
      0.5236,
      0.4648,
      0.6567,
      0.5258,
      0.5717,
      0.5434,
      0.4916,
      0.5067,
      0.6511,
      0.5678,
      0.5479,
      0.4259,
      0.5026,
      0.5031,
      0.5249,
      0.561,
      0.5498,
      0.4497,
      0.5057,
      0.4579,
      0.5694,
      0.5617,
      0.5583,
      0.482,
      0.4746,
      0.4992,
      0.6362,
      0.3886,
      0.7527,
      0.336,
      0.7341,
      0.1626,
      0.0516,
      0,
      0,
      0,
      0,
      0.4699,
      0.367,
      0.4844,
      0.4801,
      0.5083,
      0.3842,
      0.3625,
      0.4363,
      0.4521,
      0.4743,
      0.4182,
      0.4246,
      0.4089,
      0.4417,
      0.4243,
      0.5679,
      0.5901,
      0.4918,
      0.4179,
      0.499,
      0.4589,
      0.5224,
      0.3569,
      0.4491,
      0.664,
      0.5513,
      0.5747,
      0.4567,
      0.6441,
      0.5169,
      0.451,
      0.3583,
      0.3623,
      0.5732,
      0.5471,
      0.4274,
      0.4863,
      0.5226,
      0.5778,
      0.5157,
      0.6055,
      0.458,
      0.5655,
      0.4727,
      0.6326,
      0.4535,
      0.6582,
      0.533,
      0.6808,
      0.4842,
      0.6205,
      0.4924,
      0.552,
      0.6506,
      0.5299,
      0.4583,
      0.4984,
      0.5655,
      0.4927,
      0.4906,
      0.4971,
      0.6452,
      0.5149,
      0.4498,
      0.4348,
      0.5533,
      0.4641,
      0.4539,
      0.5059,
      0.4544,
      0.508,
      0.3856,
      0.4518,
      0.637,
      0.5068,
      0.4984,
      0.4724,
      0.4986,
      0.4847,
      0.4525,
      0.4689,
      0.4657,
      0.5258,
      0.616,
      0.5282,
      0.5636,
      0.4192,
      0.6235,
      0.6771,
      0.6674,
      0.5419,
      0.6472,
      0.5193,
      0.5941,
      0.6598,
      0.7262,
      0.7307,
      0.6812,
      0.496,
      0.6459,
      0.6628,
      0.6787,
      0.6794,
      0.5332,
      0.4771,
      0.4365,
      0.5036,
      0.6491,
      0.6255,
      0.5063,
      0.5896,
      0.5221,
      0.6309,
      0.5227,
      0.62,
      0.623,
      0.4535,
      0.4894,
      0.5454,
      0.5011,
      0.5016,
      0.4736,
      0.5919,
      0.5059,
      0.6052,
      0.43,
      0.4772,
      0.4295,
      0.468,
      0.4138,
      0.3316,
      0.574,
      0.5822,
      0.4043,
      0.5527,
      0.4585,
      0.5477,
      0.4878,
      0.5576,
      0.4471,
      0.6334,
      0.5106,
      0.6822,
      0.3684,
      0.6482,
      0.4741,
      0.6874,
      0.438,
      0.6704,
      0.4989,
      0.5958,
      0.596,
      0.5177,
      0.3328,
      0.5996,
      0.5177,
      0.5013,
      0.5803,
      0.4828,
      0.4913,
      0.4563,
      0.4052,
      0.4907,
      0.5474,
      0.5518,
      0.4235,
      0.5004,
      0.4926,
      0.4571,
      0.5401,
      0.4611,
      0.5947,
      0.6408,
      0.5041,
      0.4485,
      0.4839,
      0.4986,
      0.4781,
      0.3563,
      0.5305,
      0.5408,
      0.6018,
      0.5171,
      0.5559,
      0.4432,
      0.6273,
      0.6862,
      0.6747,
      0.5295,
      0.651,
      0.4752,
      0.6002,
      0.5843,
      0.7006,
      0.6933,
      0.7036,
      0.4952,
      0.6573,
      0.6746,
      0.662,
      0.6793,
      0.474,
      0.4718,
      0.4489,
      0.4922,
      0.633,
      0.585,
      0.5202,
      0.5553,
      0.4994,
      0.6081,
      0.5223,
      0.5904,
      0.4024,
      0.472,
      0.6545,
      0.426,
      0.3701,
      0.5401,
      0.5283,
      0.4736,
      0.4757,
      0.4089,
      0.5514,
      0.4302,
      0.559,
      0.582,
      0.3459,
      0.6762,
      0.5013,
      0.5674,
      0.3283,
      0.4839,
      0.4917,
      0.5342,
      0.5217,
      0.6244,
      0.4593,
      0.5174,
      0.6392,
      0.6622,
      0.3385,
      0.6512,
      0.6085,
      0.6688,
      0.3585,
      0.6347,
      0.6357,
      0.595,
      0.6695,
      0.5029,
      0.5351,
      0.4751,
      0.5601,
      0.6553,
      0.584,
      0.5004,
      0.5414,
      0.5678,
      0.5685,
      0.4136,
      0.6163,
      0.5328,
      0.5402,
      0.4876,
      0.64,
      0.51,
      0.5221,
      0.5515,
      0.6209,
      0.5399,
      0.6197,
      0.6031,
      0.5796,
      0.3871,
      0.576,
      0.5583,
      0.5105,
      0.5612,
      0.55,
      0.4522,
      0.4961,
      0.4657,
      0.5462,
      0.5451,
      0.6261,
      0.5526,
      0.4915,
      0.4228,
      0.6455,
      0.3713,
      0.6934,
      0.334,
      0.7152,
      0.1907,
      0.0021,
      0,
      0,
      0,
      0,
      0.5519,
      0.4953,
      0.5091,
      0.4571,
      0.5016,
      0.55,
      0.3775,
      0.6295,
      0.5925,
      0.5896,
      0.4743,
      0.5163,
      0.477,
      0.5156,
      0.5402,
      0.5247,
      0.674,
      0.441,
      0.536,
      0.5302,
      0.5583,
      0.5846,
      0.3525,
      0.4466,
      0.7631,
      0.6079,
      0.5688,
      0.5463,
      0.663,
      0.5259,
      0.6478,
      0.5394,
      0.5151,
      0.4748,
      0.4773,
      0.459,
      0.4474,
      0.5584,
      0.5472,
      0.4724,
      0.7375,
      0.5666,
      0.5878,
      0.5962,
      0.6851,
      0.4868,
      0.7478,
      0.6106,
      0.7109,
      0.5174,
      0.7047,
      0.5039,
      0.5295,
      0.633,
      0.5521,
      0.4883,
      0.5792,
      0.7637,
      0.5276,
      0.4381,
      0.4827,
      0.5895,
      0.6925,
      0.5149,
      0.4749,
      0.631,
      0.3918,
      0.5485,
      0.4855,
      0.5235,
      0.5893,
      0.2767,
      0.4459,
      0.7524,
      0.6505,
      0.4428,
      0.5434,
      0.5192,
      0.5147,
      0.626,
      0.5727,
      0.5807,
      0.5303,
      0.5768,
      0.5615,
      0.5665,
      0.4732,
      0.5901,
      0.5625,
      0.7193,
      0.5776,
      0.692,
      0.5725,
      0.6445,
      0.6652,
      0.7512,
      0.688,
      0.7508,
      0.5318,
      0.723,
      0.5836,
      0.4821,
      0.6333,
      0.5549,
      0.4775,
      0.5514,
      0.7505,
      0.599,
      0.64,
      0.4837,
      0.5484,
      0.538,
      0.6662,
      0.5353,
      0.6445,
      0.5258,
      0.4996,
      0.4892,
      0.6238,
      0.6172,
      0.3528,
      0.4532,
      0.7063,
      0.6025,
      0.6052,
      0.5225,
      0.5982,
      0.5648,
      0.6418,
      0.5624,
      0.5017,
      0.5105,
      0.5098,
      0.359,
      0.495,
      0.505,
      0.6442,
      0.4688,
      0.7169,
      0.5584,
      0.6369,
      0.5756,
      0.715,
      0.5192,
      0.7442,
      0.5699,
      0.7038,
      0.4769,
      0.7073,
      0.5048,
      0.6127,
      0.6107,
      0.4814,
      0.4278,
      0.5151,
      0.7378,
      0.5808,
      0.6216,
      0.4273,
      0.5172,
      0.5571,
      0.4892,
      0.5014,
      0.6187,
      0.4259,
      0.4877,
      0.4756,
      0.5622,
      0.5612,
      0.5062,
      0.4098,
      0.722,
      0.6344,
      0.6551,
      0.5196,
      0.6024,
      0.62,
      0.637,
      0.5803,
      0.6075,
      0.5666,
      0.5473,
      0.5748,
      0.5428,
      0.4905,
      0.5597,
      0.5927,
      0.7435,
      0.5982,
      0.6981,
      0.5582,
      0.6597,
      0.6001,
      0.7556,
      0.69,
      0.7532,
      0.5494,
      0.726,
      0.6328,
      0.5457,
      0.6213,
      0.5233,
      0.4493,
      0.6007,
      0.7485,
      0.6242,
      0.6158,
      0.4891,
      0.5442,
      0.5345,
      0.6064,
      0.5144,
      0.6492,
      0.4477,
      0.5524,
      0.6107,
      0.5398,
      0.5938,
      0.3357,
      0.5005,
      0.6435,
      0.6096,
      0.5174,
      0.6033,
      0.6035,
      0.595,
      0.6291,
      0.581,
      0.6372,
      0.4799,
      0.5184,
      0.3743,
      0.4891,
      0.4965,
      0.5479,
      0.498,
      0.7464,
      0.5943,
      0.5678,
      0.5638,
      0.7078,
      0.4895,
      0.7391,
      0.6558,
      0.703,
      0.4602,
      0.705,
      0.5846,
      0.6328,
      0.6484,
      0.5261,
      0.4564,
      0.5893,
      0.7604,
      0.6517,
      0.6056,
      0.4746,
      0.5418,
      0.5563,
      0.5984,
      0.4708,
      0.633,
      0.4864,
      0.5495,
      0.4844,
      0.5062,
      0.6212,
      0.5328,
      0.4983,
      0.7437,
      0.6302,
      0.661,
      0.6118,
      0.6381,
      0.5583,
      0.6794,
      0.6381,
      0.6683,
      0.5427,
      0.4642,
      0.4037,
      0.47,
      0.4674,
      0.5156,
      0.54,
      0.7448,
      0.6013,
      0.4007,
      0.3789,
      0.6227,
      0.3202,
      0.7235,
      0.3452,
      0.7293,
      0.1444,
      0.0236,
      0,
      0,
      0,
      0,
      0.5594,
      0.5252,
      0.5057,
      0.4424,
      0.4115,
      0.4217,
      0.3297,
      0.423,
      0.4845,
      0.4379,
      0.4027,
      0.4067,
      0.3891,
      0.3675,
      0.4452,
      0.3919,
      0.5127,
      0.4957,
      0.4474,
      0.5458,
      0.4837,
      0.5088,
      0.3871,
      0.3529,
      0.5983,
      0.4346,
      0.5952,
      0.5079,
      0.6647,
      0.4683,
      0.5178,
      0.3486,
      0.4132,
      0.4361,
      0.4891,
      0.4824,
      0.4474,
      0.5698,
      0.5463,
      0.5674,
      0.5642,
      0.3985,
      0.6735,
      0.5117,
      0.5421,
      0.4191,
      0.6188,
      0.5555,
      0.6107,
      0.48,
      0.6795,
      0.53,
      0.5843,
      0.6024,
      0.5136,
      0.3365,
      0.5225,
      0.5415,
      0.4566,
      0.5118,
      0.4295,
      0.6095,
      0.674,
      0.4542,
      0.3777,
      0.5071,
      0.5124,
      0.4614,
      0.5301,
      0.4618,
      0.4876,
      0.3561,
      0.4154,
      0.5593,
      0.5025,
      0.6329,
      0.4532,
      0.6015,
      0.5467,
      0.4873,
      0.4745,
      0.4755,
      0.5775,
      0.5368,
      0.5194,
      0.5034,
      0.5203,
      0.5373,
      0.4967,
      0.6923,
      0.4315,
      0.4897,
      0.5491,
      0.58,
      0.6518,
      0.7288,
      0.587,
      0.6701,
      0.5278,
      0.6814,
      0.5929,
      0.6274,
      0.6489,
      0.5849,
      0.5336,
      0.4858,
      0.548,
      0.6242,
      0.6248,
      0.477,
      0.5438,
      0.4503,
      0.5569,
      0.4918,
      0.5788,
      0.5449,
      0.3951,
      0.5042,
      0.6176,
      0.5314,
      0.3801,
      0.4194,
      0.5652,
      0.4676,
      0.7295,
      0.4918,
      0.5768,
      0.5092,
      0.5448,
      0.4602,
      0.3574,
      0.506,
      0.5112,
      0.3601,
      0.5213,
      0.4524,
      0.6569,
      0.5789,
      0.571,
      0.498,
      0.4833,
      0.5138,
      0.6018,
      0.4815,
      0.6308,
      0.5308,
      0.6054,
      0.4878,
      0.6032,
      0.5217,
      0.6805,
      0.6375,
      0.4255,
      0.3932,
      0.4129,
      0.4465,
      0.5551,
      0.6627,
      0.5755,
      0.4368,
      0.4932,
      0.4309,
      0.5658,
      0.4629,
      0.5155,
      0.3915,
      0.5316,
      0.4756,
      0.5061,
      0.5059,
      0.4113,
      0.5793,
      0.5743,
      0.5477,
      0.5135,
      0.5143,
      0.5011,
      0.5062,
      0.4033,
      0.5351,
      0.5647,
      0.5732,
      0.5101,
      0.5545,
      0.529,
      0.5482,
      0.5519,
      0.6926,
      0.4294,
      0.4811,
      0.5346,
      0.5496,
      0.5833,
      0.7554,
      0.5028,
      0.6725,
      0.5434,
      0.6773,
      0.6044,
      0.6308,
      0.6508,
      0.53,
      0.559,
      0.4171,
      0.5863,
      0.6216,
      0.6129,
      0.489,
      0.5412,
      0.4532,
      0.562,
      0.5034,
      0.5873,
      0.4251,
      0.3506,
      0.4925,
      0.54,
      0.2996,
      0.4477,
      0.4588,
      0.5107,
      0.4906,
      0.4556,
      0.597,
      0.508,
      0.5409,
      0.3673,
      0.4681,
      0.4041,
      0.4665,
      0.5061,
      0.3214,
      0.5298,
      0.5476,
      0.5907,
      0.5791,
      0.6156,
      0.4627,
      0.4329,
      0.5406,
      0.5784,
      0.3935,
      0.6807,
      0.6518,
      0.62,
      0.4665,
      0.663,
      0.5946,
      0.6854,
      0.6287,
      0.5362,
      0.4933,
      0.4193,
      0.5604,
      0.5933,
      0.5982,
      0.487,
      0.5549,
      0.5436,
      0.5831,
      0.3927,
      0.5714,
      0.5409,
      0.5693,
      0.5423,
      0.4917,
      0.5665,
      0.5478,
      0.4507,
      0.5956,
      0.489,
      0.6347,
      0.5502,
      0.5087,
      0.4692,
      0.5602,
      0.5309,
      0.6382,
      0.5545,
      0.5045,
      0.4182,
      0.5305,
      0.5607,
      0.5695,
      0.6486,
      0.6227,
      0.5575,
      0.4516,
      0.5203,
      0.5673,
      0.3525,
      0.6453,
      0.4251,
      0.6485,
      0.224,
      0.0733,
      0,
      0,
      0,
      0,
      0.5139,
      0.4389,
      0.526,
      0.4674,
      0.4083,
      0.3359,
      0.2889,
      0.4093,
      0.6079,
      0.3766,
      0.4576,
      0.4231,
      0.3612,
      0.3309,
      0.4605,
      0.395,
      0.5583,
      0.4933,
      0.4495,
      0.5113,
      0.5175,
      0.5119,
      0.3778,
      0.3979,
      0.5677,
      0.5589,
      0.6119,
      0.5545,
      0.5494,
      0.3743,
      0.4908,
      0.3924,
      0.3854,
      0.5236,
      0.5273,
      0.392,
      0.5622,
      0.531,
      0.5983,
      0.6443,
      0.5412,
      0.5603,
      0.7798,
      0.489,
      0.676,
      0.4516,
      0.7087,
      0.5072,
      0.6731,
      0.4898,
      0.6467,
      0.5936,
      0.6006,
      0.6163,
      0.5728,
      0.414,
      0.5833,
      0.5389,
      0.4441,
      0.4222,
      0.5442,
      0.6087,
      0.5396,
      0.4518,
      0.3716,
      0.6072,
      0.4986,
      0.4246,
      0.5482,
      0.5303,
      0.5531,
      0.4012,
      0.5729,
      0.5681,
      0.5796,
      0.5585,
      0.6183,
      0.5087,
      0.4984,
      0.4894,
      0.5163,
      0.5528,
      0.5674,
      0.5852,
      0.5169,
      0.6061,
      0.5209,
      0.5827,
      0.6668,
      0.6543,
      0.5394,
      0.5752,
      0.542,
      0.6432,
      0.622,
      0.7168,
      0.6126,
      0.5808,
      0.5395,
      0.6297,
      0.6556,
      0.6423,
      0.6089,
      0.6008,
      0.5562,
      0.5903,
      0.4947,
      0.5017,
      0.6075,
      0.5143,
      0.5801,
      0.4291,
      0.624,
      0.5045,
      0.6028,
      0.5207,
      0.4116,
      0.5268,
      0.555,
      0.5502,
      0.3522,
      0.5,
      0.5512,
      0.5513,
      0.6683,
      0.4884,
      0.5857,
      0.5224,
      0.5094,
      0.3814,
      0.3042,
      0.5324,
      0.5771,
      0.4486,
      0.5792,
      0.5613,
      0.624,
      0.633,
      0.4944,
      0.6012,
      0.5514,
      0.5093,
      0.6361,
      0.4955,
      0.7259,
      0.4961,
      0.6028,
      0.5229,
      0.6508,
      0.6,
      0.7166,
      0.6526,
      0.5755,
      0.4549,
      0.6157,
      0.4842,
      0.3745,
      0.4846,
      0.5086,
      0.3987,
      0.4918,
      0.4467,
      0.7132,
      0.5462,
      0.4928,
      0.5053,
      0.5571,
      0.5403,
      0.5199,
      0.4902,
      0.5233,
      0.5639,
      0.595,
      0.5343,
      0.4704,
      0.4898,
      0.6377,
      0.5008,
      0.4956,
      0.4986,
      0.5292,
      0.6146,
      0.5049,
      0.588,
      0.5212,
      0.6086,
      0.67,
      0.7458,
      0.5154,
      0.5817,
      0.5312,
      0.6235,
      0.5975,
      0.7198,
      0.5698,
      0.6176,
      0.5404,
      0.6488,
      0.6699,
      0.6478,
      0.6215,
      0.5862,
      0.5479,
      0.6061,
      0.5516,
      0.5326,
      0.6366,
      0.5181,
      0.489,
      0.4179,
      0.6093,
      0.5287,
      0.6314,
      0.4741,
      0.3719,
      0.421,
      0.3508,
      0.3381,
      0.5982,
      0.505,
      0.5751,
      0.4662,
      0.5118,
      0.6158,
      0.5148,
      0.5398,
      0.4329,
      0.4326,
      0.4671,
      0.4832,
      0.5947,
      0.3648,
      0.5692,
      0.5806,
      0.637,
      0.6288,
      0.5409,
      0.5683,
      0.5531,
      0.5128,
      0.6831,
      0.3474,
      0.7098,
      0.5777,
      0.6779,
      0.3838,
      0.6365,
      0.6445,
      0.665,
      0.5058,
      0.588,
      0.568,
      0.5962,
      0.5783,
      0.4653,
      0.6346,
      0.4881,
      0.4795,
      0.5294,
      0.6005,
      0.4369,
      0.5541,
      0.5177,
      0.5391,
      0.5274,
      0.589,
      0.596,
      0.5343,
      0.5734,
      0.5771,
      0.5362,
      0.627,
      0.5612,
      0.626,
      0.4631,
      0.4905,
      0.5442,
      0.6234,
      0.5886,
      0.6126,
      0.5675,
      0.5836,
      0.5811,
      0.6295,
      0.6629,
      0.5232,
      0.5705,
      0.5263,
      0.5424,
      0.6061,
      0.4414,
      0.7207,
      0.4094,
      0.6264,
      0.2313,
      0.0278,
      0,
      0,
      0,
      0,
      0.5786,
      0.626,
      0.5874,
      0.5937,
      0.6166,
      0.5918,
      0.5495,
      0.4196,
      0.4456,
      0.3964,
      0.5148,
      0.4655,
      0.4276,
      0.346,
      0.4675,
      0.3814,
      0.5828,
      0.7678,
      0.6668,
      0.6702,
      0.6664,
      0.7343,
      0.6208,
      0.5695,
      0.5375,
      0.6858,
      0.6431,
      0.5802,
      0.6912,
      0.7091,
      0.5238,
      0.6006,
      0.4377,
      0.7136,
      0.7099,
      0.662,
      0.5628,
      0.708,
      0.6886,
      0.6655,
      0.5279,
      0.5728,
      0.7767,
      0.6174,
      0.6569,
      0.557,
      0.6442,
      0.5888,
      0.6438,
      0.5225,
      0.6841,
      0.6833,
      0.7029,
      0.7231,
      0.7045,
      0.681,
      0.6717,
      0.5381,
      0.66,
      0.421,
      0.5581,
      0.647,
      0.5911,
      0.5973,
      0.5755,
      0.7039,
      0.7625,
      0.6359,
      0.6991,
      0.6707,
      0.7381,
      0.638,
      0.58,
      0.4918,
      0.6874,
      0.6225,
      0.6067,
      0.764,
      0.7036,
      0.5489,
      0.6208,
      0.5116,
      0.7286,
      0.7267,
      0.7545,
      0.5535,
      0.6819,
      0.5699,
      0.6939,
      0.637,
      0.5743,
      0.6437,
      0.5428,
      0.596,
      0.6563,
      0.7346,
      0.6871,
      0.559,
      0.5077,
      0.6735,
      0.6789,
      0.7384,
      0.732,
      0.7083,
      0.7575,
      0.6803,
      0.5673,
      0.6504,
      0.5419,
      0.4633,
      0.5674,
      0.6298,
      0.6867,
      0.6422,
      0.6671,
      0.7163,
      0.6346,
      0.7033,
      0.6665,
      0.7351,
      0.6389,
      0.5421,
      0.5232,
      0.6801,
      0.747,
      0.6113,
      0.7194,
      0.7266,
      0.5478,
      0.4804,
      0.4878,
      0.7262,
      0.7302,
      0.6267,
      0.5558,
      0.6821,
      0.6584,
      0.6715,
      0.4783,
      0.6313,
      0.6394,
      0.6209,
      0.6117,
      0.5589,
      0.5647,
      0.598,
      0.6324,
      0.5276,
      0.682,
      0.6853,
      0.7815,
      0.7317,
      0.7556,
      0.6611,
      0.6624,
      0.5719,
      0.6571,
      0.4609,
      0.5105,
      0.5083,
      0.6121,
      0.6371,
      0.5947,
      0.6809,
      0.72,
      0.6375,
      0.6795,
      0.6427,
      0.7296,
      0.6108,
      0.5833,
      0.4616,
      0.6963,
      0.5706,
      0.7225,
      0.7015,
      0.7039,
      0.534,
      0.5856,
      0.5098,
      0.6929,
      0.7419,
      0.7517,
      0.5477,
      0.6751,
      0.6268,
      0.7155,
      0.6446,
      0.5729,
      0.6336,
      0.5395,
      0.5843,
      0.577,
      0.7072,
      0.7065,
      0.6192,
      0.5132,
      0.6834,
      0.6636,
      0.7307,
      0.7437,
      0.7767,
      0.7489,
      0.7033,
      0.538,
      0.6563,
      0.5592,
      0.4836,
      0.596,
      0.6211,
      0.6874,
      0.6342,
      0.6684,
      0.4563,
      0.5428,
      0.5296,
      0.5542,
      0.5415,
      0.6515,
      0.5372,
      0.4381,
      0.556,
      0.5998,
      0.5286,
      0.4774,
      0.5407,
      0.56,
      0.4722,
      0.5845,
      0.6606,
      0.7038,
      0.6241,
      0.557,
      0.6763,
      0.6606,
      0.6951,
      0.5015,
      0.5717,
      0.6429,
      0.6222,
      0.5991,
      0.5653,
      0.6633,
      0.6985,
      0.6276,
      0.5144,
      0.6844,
      0.6657,
      0.7212,
      0.7508,
      0.774,
      0.747,
      0.7037,
      0.5456,
      0.6416,
      0.5536,
      0.501,
      0.5771,
      0.6345,
      0.6795,
      0.6255,
      0.6439,
      0.7421,
      0.6412,
      0.5959,
      0.6355,
      0.7468,
      0.6429,
      0.6665,
      0.492,
      0.6716,
      0.6501,
      0.616,
      0.7055,
      0.7245,
      0.564,
      0.565,
      0.6311,
      0.7362,
      0.7786,
      0.8214,
      0.6122,
      0.7818,
      0.6859,
      0.7624,
      0.5241,
      0.6475,
      0.6678,
      0.6845,
      0.6288,
      0.7031,
      0.6264,
      0.6123,
      0.6122,
      0.4076,
      0.1969,
      0,
      0,
      0,
      0,
      0.5486,
      0.454,
      0.5033,
      0.4741,
      0.4147,
      0.2895,
      0.327,
      0.3379,
      0.4906,
      0.349,
      0.4107,
      0.4323,
      0.3011,
      0.3141,
      0.3533,
      0.4818,
      0.5395,
      0.6226,
      0.5832,
      0.4631,
      0.5194,
      0.6393,
      0.4972,
      0.4389,
      0.5239,
      0.5553,
      0.5629,
      0.5036,
      0.6894,
      0.4585,
      0.5227,
      0.5671,
      0.4188,
      0.5816,
      0.5306,
      0.4709,
      0.4788,
      0.5445,
      0.5644,
      0.4986,
      0.4584,
      0.5543,
      0.5844,
      0.5594,
      0.6717,
      0.5092,
      0.553,
      0.4781,
      0.5895,
      0.3717,
      0.6047,
      0.5546,
      0.619,
      0.6325,
      0.5734,
      0.3994,
      0.4713,
      0.5186,
      0.4605,
      0.3976,
      0.4952,
      0.5736,
      0.5749,
      0.5626,
      0.6238,
      0.4567,
      0.5944,
      0.7027,
      0.5843,
      0.5101,
      0.5673,
      0.4159,
      0.4291,
      0.5149,
      0.6086,
      0.5352,
      0.4838,
      0.6859,
      0.497,
      0.5559,
      0.6262,
      0.5585,
      0.5557,
      0.5601,
      0.498,
      0.522,
      0.5095,
      0.5465,
      0.6385,
      0.6362,
      0.5305,
      0.6522,
      0.5308,
      0.5438,
      0.5767,
      0.6748,
      0.537,
      0.6621,
      0.568,
      0.626,
      0.6266,
      0.5765,
      0.6732,
      0.5937,
      0.648,
      0.6121,
      0.5223,
      0.5594,
      0.5609,
      0.5072,
      0.5188,
      0.5104,
      0.5298,
      0.53,
      0.5848,
      0.5474,
      0.5374,
      0.4177,
      0.5419,
      0.5399,
      0.3893,
      0.4969,
      0.4672,
      0.6562,
      0.6769,
      0.5715,
      0.4754,
      0.4742,
      0.4817,
      0.5325,
      0.5221,
      0.5816,
      0.4746,
      0.4188,
      0.5127,
      0.5037,
      0.4845,
      0.6799,
      0.5588,
      0.6086,
      0.4234,
      0.5778,
      0.5214,
      0.4816,
      0.5883,
      0.4927,
      0.6419,
      0.4687,
      0.642,
      0.5025,
      0.6521,
      0.6553,
      0.5768,
      0.4492,
      0.5567,
      0.6029,
      0.4284,
      0.4658,
      0.4668,
      0.4011,
      0.7051,
      0.5107,
      0.4859,
      0.5572,
      0.5638,
      0.4719,
      0.6146,
      0.5166,
      0.6203,
      0.4876,
      0.3683,
      0.5281,
      0.678,
      0.5488,
      0.4454,
      0.5056,
      0.5447,
      0.4687,
      0.5914,
      0.5916,
      0.4939,
      0.5559,
      0.5294,
      0.5197,
      0.507,
      0.554,
      0.6469,
      0.6535,
      0.4983,
      0.6509,
      0.557,
      0.5296,
      0.6127,
      0.6847,
      0.5361,
      0.6567,
      0.5616,
      0.6401,
      0.6229,
      0.6122,
      0.6849,
      0.5541,
      0.6346,
      0.621,
      0.5161,
      0.5886,
      0.5483,
      0.4825,
      0.6263,
      0.5295,
      0.5862,
      0.5242,
      0.5499,
      0.4109,
      0.3864,
      0.5354,
      0.3784,
      0.3763,
      0.4829,
      0.5213,
      0.506,
      0.4769,
      0.4527,
      0.5229,
      0.4314,
      0.5519,
      0.4899,
      0.4707,
      0.7102,
      0.5529,
      0.5098,
      0.3792,
      0.4926,
      0.4328,
      0.4653,
      0.5143,
      0.4607,
      0.4232,
      0.48,
      0.453,
      0.5367,
      0.4874,
      0.6103,
      0.5628,
      0.6292,
      0.4452,
      0.6324,
      0.5755,
      0.5957,
      0.6792,
      0.59,
      0.652,
      0.6209,
      0.5031,
      0.553,
      0.5802,
      0.4834,
      0.635,
      0.4761,
      0.5627,
      0.5292,
      0.6066,
      0.6474,
      0.5951,
      0.4962,
      0.5516,
      0.5753,
      0.4763,
      0.5613,
      0.4935,
      0.529,
      0.6938,
      0.5887,
      0.6523,
      0.5377,
      0.5839,
      0.6256,
      0.6353,
      0.6069,
      0.5115,
      0.5201,
      0.5404,
      0.5499,
      0.5453,
      0.5995,
      0.3967,
      0.5876,
      0.4371,
      0.5719,
      0.473,
      0.6408,
      0.5928,
      0.4931,
      0.5868,
      0.3206,
      0.1218,
      0,
      0,
      0,
      0,
      0.5489,
      0.4768,
      0.4651,
      0.4648,
      0.5032,
      0.2908,
      0.3183,
      0.3746,
      0.4595,
      0.4433,
      0.4558,
      0.4104,
      0.4452,
      0.3996,
      0.4322,
      0.5995,
      0.5853,
      0.4713,
      0.5275,
      0.3778,
      0.4218,
      0.565,
      0.4337,
      0.5087,
      0.5516,
      0.5238,
      0.4886,
      0.4746,
      0.6886,
      0.4265,
      0.587,
      0.464,
      0.4235,
      0.4378,
      0.4899,
      0.4041,
      0.3868,
      0.5298,
      0.5139,
      0.4693,
      0.4385,
      0.4311,
      0.4739,
      0.4452,
      0.6248,
      0.4179,
      0.5904,
      0.521,
      0.6047,
      0.4697,
      0.5072,
      0.5893,
      0.522,
      0.5341,
      0.384,
      0.5043,
      0.4586,
      0.4964,
      0.4016,
      0.3001,
      0.5013,
      0.6203,
      0.4725,
      0.3906,
      0.5096,
      0.4958,
      0.4799,
      0.5409,
      0.4214,
      0.4361,
      0.3806,
      0.4236,
      0.3889,
      0.5387,
      0.6048,
      0.4645,
      0.4381,
      0.5399,
      0.506,
      0.5172,
      0.4893,
      0.5347,
      0.5231,
      0.5922,
      0.5234,
      0.5129,
      0.4309,
      0.4939,
      0.6017,
      0.5767,
      0.4417,
      0.5803,
      0.5084,
      0.5717,
      0.5661,
      0.6555,
      0.6355,
      0.599,
      0.5059,
      0.6156,
      0.5715,
      0.5989,
      0.5776,
      0.5061,
      0.5415,
      0.5136,
      0.4659,
      0.5952,
      0.5159,
      0.5281,
      0.5076,
      0.3849,
      0.4929,
      0.4657,
      0.4851,
      0.5278,
      0.3592,
      0.3669,
      0.5441,
      0.4106,
      0.463,
      0.4408,
      0.5314,
      0.577,
      0.6325,
      0.4929,
      0.5671,
      0.4917,
      0.5202,
      0.4362,
      0.4475,
      0.6473,
      0.508,
      0.3876,
      0.5063,
      0.5467,
      0.488,
      0.5454,
      0.4686,
      0.4886,
      0.4723,
      0.4657,
      0.5974,
      0.4086,
      0.6229,
      0.5577,
      0.5991,
      0.3969,
      0.6011,
      0.4069,
      0.6209,
      0.665,
      0.5208,
      0.5044,
      0.4944,
      0.5947,
      0.4211,
      0.5595,
      0.528,
      0.5162,
      0.4984,
      0.5853,
      0.4951,
      0.5509,
      0.5016,
      0.3595,
      0.4143,
      0.4471,
      0.6196,
      0.5325,
      0.447,
      0.5858,
      0.6392,
      0.4421,
      0.4117,
      0.442,
      0.5425,
      0.528,
      0.5348,
      0.5621,
      0.4839,
      0.5657,
      0.4774,
      0.4934,
      0.4123,
      0.5078,
      0.5781,
      0.599,
      0.4665,
      0.5899,
      0.5073,
      0.5736,
      0.5864,
      0.6762,
      0.6562,
      0.5776,
      0.5016,
      0.6064,
      0.5845,
      0.6065,
      0.5766,
      0.4851,
      0.5578,
      0.5424,
      0.4198,
      0.5906,
      0.5725,
      0.5296,
      0.5561,
      0.4375,
      0.5228,
      0.5037,
      0.4922,
      0.3313,
      0.3451,
      0.4098,
      0.5117,
      0.3731,
      0.4671,
      0.4754,
      0.4303,
      0.4657,
      0.6179,
      0.5322,
      0.4894,
      0.527,
      0.3914,
      0.461,
      0.5767,
      0.4551,
      0.5775,
      0.3493,
      0.458,
      0.4553,
      0.5193,
      0.4808,
      0.4862,
      0.4355,
      0.4107,
      0.4648,
      0.6122,
      0.4252,
      0.6442,
      0.6072,
      0.5384,
      0.3465,
      0.5973,
      0.5738,
      0.5963,
      0.5724,
      0.4742,
      0.5393,
      0.5556,
      0.4621,
      0.5652,
      0.5512,
      0.5639,
      0.5715,
      0.5089,
      0.5199,
      0.5066,
      0.4846,
      0.5478,
      0.5281,
      0.4669,
      0.5008,
      0.464,
      0.4996,
      0.5948,
      0.5872,
      0.5216,
      0.6309,
      0.5489,
      0.5353,
      0.4337,
      0.6166,
      0.6278,
      0.5469,
      0.493,
      0.5103,
      0.4385,
      0.4763,
      0.5125,
      0.4877,
      0.5259,
      0.4821,
      0.4804,
      0.3519,
      0.4429,
      0.497,
      0.5147,
      0.6178,
      0.4818,
      0.6102,
      0.2412,
      0.0792,
      0,
      0,
      0,
      0,
      0.5359,
      0.4148,
      0.4905,
      0.4619,
      0.5329,
      0.2896,
      0.2843,
      0.5028,
      0.4647,
      0.437,
      0.4467,
      0.5332,
      0.4161,
      0.4128,
      0.5069,
      0.539,
      0.6321,
      0.4433,
      0.3952,
      0.5,
      0.3519,
      0.4539,
      0.4471,
      0.4116,
      0.5997,
      0.5776,
      0.5399,
      0.5487,
      0.6781,
      0.6295,
      0.5242,
      0.527,
      0.5367,
      0.4209,
      0.3978,
      0.4077,
      0.4855,
      0.5248,
      0.5425,
      0.4781,
      0.572,
      0.6172,
      0.6304,
      0.6565,
      0.6024,
      0.6123,
      0.6106,
      0.6646,
      0.5956,
      0.4923,
      0.5576,
      0.4671,
      0.4622,
      0.5699,
      0.4129,
      0.4297,
      0.4873,
      0.5947,
      0.4951,
      0.3447,
      0.5502,
      0.6585,
      0.5416,
      0.4769,
      0.494,
      0.595,
      0.419,
      0.3902,
      0.3908,
      0.4643,
      0.4227,
      0.3933,
      0.4239,
      0.5914,
      0.5613,
      0.5562,
      0.5508,
      0.5891,
      0.6157,
      0.5512,
      0.5754,
      0.6299,
      0.5167,
      0.5141,
      0.5654,
      0.5599,
      0.4142,
      0.5401,
      0.5414,
      0.637,
      0.6221,
      0.5953,
      0.5663,
      0.584,
      0.6328,
      0.6414,
      0.665,
      0.5626,
      0.4856,
      0.6218,
      0.5385,
      0.5366,
      0.5178,
      0.5162,
      0.6181,
      0.4851,
      0.5802,
      0.5531,
      0.5644,
      0.5527,
      0.4913,
      0.4965,
      0.5634,
      0.521,
      0.5832,
      0.5583,
      0.3659,
      0.3311,
      0.5581,
      0.5001,
      0.464,
      0.398,
      0.5936,
      0.5574,
      0.7379,
      0.5533,
      0.6126,
      0.6247,
      0.5142,
      0.5236,
      0.5354,
      0.6506,
      0.4858,
      0.3921,
      0.4879,
      0.5557,
      0.4857,
      0.4523,
      0.5506,
      0.6297,
      0.637,
      0.6501,
      0.5942,
      0.6309,
      0.6282,
      0.6775,
      0.5905,
      0.5067,
      0.5799,
      0.4754,
      0.6758,
      0.6178,
      0.4894,
      0.4455,
      0.52,
      0.5157,
      0.4359,
      0.5763,
      0.53,
      0.4915,
      0.4475,
      0.4621,
      0.4872,
      0.6028,
      0.504,
      0.3267,
      0.335,
      0.4428,
      0.623,
      0.515,
      0.492,
      0.6231,
      0.6016,
      0.5267,
      0.5724,
      0.5923,
      0.6329,
      0.5121,
      0.5761,
      0.6083,
      0.4835,
      0.5391,
      0.5934,
      0.5424,
      0.3833,
      0.5149,
      0.5478,
      0.6507,
      0.6128,
      0.5953,
      0.5902,
      0.5825,
      0.6195,
      0.6556,
      0.6885,
      0.5986,
      0.4828,
      0.6371,
      0.4691,
      0.4736,
      0.5169,
      0.5002,
      0.6003,
      0.5046,
      0.578,
      0.567,
      0.5865,
      0.5443,
      0.5682,
      0.4765,
      0.5714,
      0.5091,
      0.5449,
      0.4001,
      0.2411,
      0.4107,
      0.4779,
      0.3874,
      0.7172,
      0.478,
      0.5947,
      0.5421,
      0.5668,
      0.6161,
      0.5909,
      0.5918,
      0.4949,
      0.5743,
      0.5294,
      0.385,
      0.5016,
      0.3027,
      0.4669,
      0.4074,
      0.4868,
      0.478,
      0.5959,
      0.6196,
      0.6287,
      0.5915,
      0.6227,
      0.617,
      0.6216,
      0.6897,
      0.5705,
      0.3163,
      0.5908,
      0.5431,
      0.5391,
      0.5166,
      0.4797,
      0.6052,
      0.5204,
      0.5492,
      0.4803,
      0.5724,
      0.5702,
      0.5458,
      0.4863,
      0.5433,
      0.4983,
      0.5556,
      0.4755,
      0.5973,
      0.5481,
      0.52,
      0.4862,
      0.4908,
      0.5303,
      0.704,
      0.5679,
      0.5401,
      0.612,
      0.6057,
      0.6301,
      0.6339,
      0.6437,
      0.7078,
      0.3958,
      0.4972,
      0.4357,
      0.4623,
      0.482,
      0.4485,
      0.5232,
      0.5211,
      0.4975,
      0.3407,
      0.4132,
      0.4805,
      0.5945,
      0.6128,
      0.4606,
      0.5924,
      0.3578,
      0.1433,
      0,
      0,
      0,
      0,
      0.5432,
      0.4064,
      0.5319,
      0.4243,
      0.4771,
      0.3289,
      0.4114,
      0.5626,
      0.5463,
      0.3541,
      0.3677,
      0.384,
      0.2967,
      0.2751,
      0.4901,
      0.4211,
      0.6214,
      0.4311,
      0.3731,
      0.5037,
      0.4289,
      0.3694,
      0.4258,
      0.4019,
      0.6487,
      0.4989,
      0.4725,
      0.4029,
      0.6495,
      0.4701,
      0.4468,
      0.3877,
      0.3853,
      0.4192,
      0.4,
      0.3752,
      0.5031,
      0.4543,
      0.5356,
      0.5189,
      0.602,
      0.4903,
      0.4366,
      0.4702,
      0.4945,
      0.4585,
      0.6152,
      0.5686,
      0.5968,
      0.4818,
      0.588,
      0.5817,
      0.4641,
      0.5617,
      0.4146,
      0.4676,
      0.5054,
      0.5835,
      0.4658,
      0.4969,
      0.5257,
      0.6384,
      0.6652,
      0.461,
      0.3737,
      0.4908,
      0.4362,
      0.3958,
      0.3855,
      0.4378,
      0.474,
      0.3317,
      0.384,
      0.6176,
      0.5411,
      0.5095,
      0.3951,
      0.5304,
      0.5541,
      0.4951,
      0.4777,
      0.4831,
      0.5659,
      0.5331,
      0.5066,
      0.4743,
      0.3434,
      0.5158,
      0.5387,
      0.5746,
      0.5262,
      0.4676,
      0.5627,
      0.585,
      0.5638,
      0.6354,
      0.561,
      0.608,
      0.5204,
      0.5901,
      0.5398,
      0.5612,
      0.5412,
      0.4502,
      0.576,
      0.5884,
      0.5844,
      0.554,
      0.5544,
      0.5315,
      0.5064,
      0.4656,
      0.5662,
      0.4931,
      0.5409,
      0.5908,
      0.3946,
      0.3712,
      0.5592,
      0.6259,
      0.3535,
      0.4255,
      0.5953,
      0.5471,
      0.6807,
      0.4132,
      0.5812,
      0.6011,
      0.4817,
      0.4844,
      0.3348,
      0.4569,
      0.4423,
      0.3884,
      0.4772,
      0.5077,
      0.5754,
      0.5149,
      0.5895,
      0.4526,
      0.6269,
      0.4937,
      0.5162,
      0.6367,
      0.6003,
      0.4965,
      0.6266,
      0.4741,
      0.5796,
      0.5076,
      0.6132,
      0.5297,
      0.3129,
      0.4135,
      0.4818,
      0.4982,
      0.4452,
      0.6075,
      0.5779,
      0.427,
      0.4565,
      0.4505,
      0.4252,
      0.5202,
      0.5122,
      0.3423,
      0.4842,
      0.4209,
      0.5413,
      0.5391,
      0.4496,
      0.614,
      0.6409,
      0.4449,
      0.5791,
      0.4583,
      0.5764,
      0.4854,
      0.5373,
      0.4589,
      0.5114,
      0.5225,
      0.4447,
      0.4842,
      0.3709,
      0.536,
      0.5967,
      0.5777,
      0.511,
      0.4347,
      0.5595,
      0.5955,
      0.5399,
      0.6193,
      0.5359,
      0.6079,
      0.5298,
      0.6047,
      0.5415,
      0.5489,
      0.5358,
      0.4759,
      0.5676,
      0.5775,
      0.5894,
      0.5512,
      0.5231,
      0.5072,
      0.5288,
      0.4828,
      0.5649,
      0.5248,
      0.5149,
      0.5408,
      0.3714,
      0.4977,
      0.3482,
      0.3975,
      0.7135,
      0.4838,
      0.6014,
      0.44,
      0.4905,
      0.5288,
      0.39,
      0.5534,
      0.5503,
      0.4259,
      0.4899,
      0.3954,
      0.4665,
      0.3029,
      0.4861,
      0.4442,
      0.5014,
      0.5253,
      0.5908,
      0.4674,
      0.4006,
      0.4883,
      0.4618,
      0.5044,
      0.5709,
      0.6166,
      0.6072,
      0.4201,
      0.5504,
      0.5813,
      0.572,
      0.5374,
      0.4592,
      0.5888,
      0.5507,
      0.5522,
      0.5318,
      0.573,
      0.5255,
      0.4877,
      0.5124,
      0.5386,
      0.4288,
      0.4693,
      0.5646,
      0.5872,
      0.5442,
      0.5649,
      0.5124,
      0.4571,
      0.5126,
      0.6515,
      0.5744,
      0.6479,
      0.5311,
      0.5421,
      0.5033,
      0.5787,
      0.6111,
      0.6102,
      0.5007,
      0.4149,
      0.3622,
      0.42,
      0.4182,
      0.4165,
      0.5219,
      0.4477,
      0.5562,
      0.3776,
      0.5208,
      0.3909,
      0.6593,
      0.6075,
      0.5034,
      0.6194,
      0.3048,
      0.0883,
      0,
      0,
      0,
      0,
      0.5527,
      0.5509,
      0.4894,
      0.3982,
      0.4583,
      0.3659,
      0.3912,
      0.3394,
      0.4147,
      0.3575,
      0.3615,
      0.2818,
      0.3971,
      0.3095,
      0.5397,
      0.3993,
      0.5227,
      0.5764,
      0.5436,
      0.528,
      0.6066,
      0.5454,
      0.5482,
      0.4368,
      0.5303,
      0.4807,
      0.5052,
      0.4597,
      0.6516,
      0.4898,
      0.4438,
      0.4117,
      0.4546,
      0.3791,
      0.4599,
      0.463,
      0.4641,
      0.4755,
      0.5403,
      0.4916,
      0.4033,
      0.4688,
      0.4596,
      0.4741,
      0.4593,
      0.3859,
      0.6181,
      0.568,
      0.6363,
      0.4008,
      0.5656,
      0.5528,
      0.5226,
      0.5245,
      0.4259,
      0.4427,
      0.4405,
      0.4964,
      0.423,
      0.4365,
      0.5544,
      0.6244,
      0.6,
      0.5077,
      0.4495,
      0.488,
      0.576,
      0.5796,
      0.5635,
      0.6193,
      0.5671,
      0.5056,
      0.3969,
      0.5241,
      0.5495,
      0.4178,
      0.4813,
      0.5533,
      0.5084,
      0.438,
      0.4501,
      0.5285,
      0.458,
      0.4642,
      0.5795,
      0.5536,
      0.4773,
      0.5277,
      0.5909,
      0.5768,
      0.4706,
      0.4411,
      0.495,
      0.5488,
      0.5495,
      0.6786,
      0.5797,
      0.6129,
      0.4915,
      0.5699,
      0.5546,
      0.4892,
      0.5363,
      0.5026,
      0.5947,
      0.5174,
      0.4677,
      0.4974,
      0.5957,
      0.5892,
      0.5652,
      0.4369,
      0.6371,
      0.4872,
      0.5412,
      0.5707,
      0.5581,
      0.5366,
      0.6644,
      0.5561,
      0.5237,
      0.4281,
      0.4596,
      0.4663,
      0.6877,
      0.4652,
      0.5982,
      0.652,
      0.4393,
      0.5336,
      0.4428,
      0.441,
      0.5601,
      0.3281,
      0.4253,
      0.5628,
      0.4845,
      0.4758,
      0.3833,
      0.3811,
      0.8176,
      0.5333,
      0.4805,
      0.6606,
      0.5978,
      0.4874,
      0.5874,
      0.4646,
      0.5525,
      0.517,
      0.6165,
      0.6027,
      0.4221,
      0.3622,
      0.4194,
      0.4993,
      0.5563,
      0.474,
      0.5445,
      0.5689,
      0.5701,
      0.5165,
      0.6118,
      0.5733,
      0.5719,
      0.5619,
      0.5586,
      0.6054,
      0.5764,
      0.5488,
      0.4047,
      0.4949,
      0.5982,
      0.5125,
      0.4834,
      0.4602,
      0.6,
      0.4286,
      0.5839,
      0.5639,
      0.4204,
      0.466,
      0.5473,
      0.5555,
      0.487,
      0.459,
      0.5737,
      0.5951,
      0.4792,
      0.4612,
      0.5145,
      0.5606,
      0.5438,
      0.7051,
      0.6154,
      0.621,
      0.5165,
      0.4875,
      0.5554,
      0.4887,
      0.5218,
      0.4872,
      0.6056,
      0.5005,
      0.4723,
      0.5094,
      0.5697,
      0.5925,
      0.5527,
      0.4149,
      0.5798,
      0.4627,
      0.5193,
      0.6024,
      0.6332,
      0.5894,
      0.6157,
      0.488,
      0.5921,
      0.5322,
      0.3747,
      0.4112,
      0.4301,
      0.5573,
      0.4517,
      0.5734,
      0.5684,
      0.4632,
      0.54,
      0.4922,
      0.4413,
      0.2988,
      0.4263,
      0.484,
      0.4341,
      0.5002,
      0.4293,
      0.4131,
      0.4687,
      0.4592,
      0.5152,
      0.4021,
      0.6174,
      0.5947,
      0.5812,
      0.4472,
      0.5585,
      0.5736,
      0.6072,
      0.5311,
      0.4563,
      0.6182,
      0.4593,
      0.5375,
      0.4218,
      0.5678,
      0.5944,
      0.5467,
      0.5149,
      0.5532,
      0.4615,
      0.5197,
      0.5345,
      0.6026,
      0.527,
      0.6275,
      0.5104,
      0.5387,
      0.4621,
      0.569,
      0.5587,
      0.6869,
      0.5396,
      0.5668,
      0.5269,
      0.5027,
      0.6802,
      0.6237,
      0.3791,
      0.3555,
      0.4152,
      0.3874,
      0.4076,
      0.4506,
      0.5016,
      0.3476,
      0.4919,
      0.3698,
      0.4768,
      0.4331,
      0.5734,
      0.6162,
      0.5205,
      0.6103,
      0.2858,
      0.0835,
      0,
      0,
      0,
      0,
      0.5504,
      0.6231,
      0.4816,
      0.4306,
      0.4333,
      0.3844,
      0.3773,
      0.3203,
      0.4317,
      0.3631,
      0.4859,
      0.4667,
      0.4093,
      0.4958,
      0.5352,
      0.4954,
      0.6766,
      0.5844,
      0.5802,
      0.5416,
      0.5935,
      0.5692,
      0.495,
      0.3695,
      0.5495,
      0.5807,
      0.4297,
      0.4884,
      0.5468,
      0.5362,
      0.4811,
      0.4122,
      0.3848,
      0.4644,
      0.432,
      0.3638,
      0.4703,
      0.5055,
      0.5644,
      0.5299,
      0.4124,
      0.5228,
      0.5451,
      0.5146,
      0.5359,
      0.392,
      0.6044,
      0.5194,
      0.6346,
      0.5214,
      0.5679,
      0.4535,
      0.5751,
      0.5422,
      0.467,
      0.4574,
      0.4051,
      0.5142,
      0.4045,
      0.3383,
      0.5495,
      0.6263,
      0.5587,
      0.4821,
      0.464,
      0.556,
      0.5979,
      0.5483,
      0.5612,
      0.5975,
      0.5764,
      0.5107,
      0.5275,
      0.5185,
      0.5744,
      0.5389,
      0.5191,
      0.5227,
      0.5288,
      0.4915,
      0.503,
      0.4425,
      0.4947,
      0.6613,
      0.58,
      0.5064,
      0.4773,
      0.5257,
      0.6096,
      0.6001,
      0.533,
      0.4556,
      0.5119,
      0.5301,
      0.4923,
      0.6628,
      0.6185,
      0.6291,
      0.5422,
      0.5975,
      0.6084,
      0.5513,
      0.5949,
      0.5462,
      0.6657,
      0.4698,
      0.5188,
      0.5941,
      0.6601,
      0.5329,
      0.6353,
      0.5935,
      0.6208,
      0.5124,
      0.5843,
      0.5613,
      0.5561,
      0.5385,
      0.6467,
      0.5601,
      0.5015,
      0.477,
      0.5294,
      0.5717,
      0.7474,
      0.4947,
      0.5908,
      0.5341,
      0.4504,
      0.4979,
      0.3578,
      0.4512,
      0.4854,
      0.3804,
      0.4705,
      0.5246,
      0.4995,
      0.5947,
      0.4052,
      0.4665,
      0.8201,
      0.6362,
      0.5519,
      0.5878,
      0.59,
      0.5678,
      0.6133,
      0.5051,
      0.5427,
      0.514,
      0.634,
      0.5852,
      0.441,
      0.3097,
      0.4949,
      0.6168,
      0.4332,
      0.4437,
      0.5471,
      0.5856,
      0.5197,
      0.4821,
      0.6591,
      0.5916,
      0.5345,
      0.5706,
      0.5836,
      0.5935,
      0.5936,
      0.5593,
      0.4531,
      0.5266,
      0.6392,
      0.4844,
      0.5802,
      0.5121,
      0.6331,
      0.4527,
      0.4992,
      0.5255,
      0.4614,
      0.6637,
      0.5925,
      0.5568,
      0.4571,
      0.553,
      0.5979,
      0.6177,
      0.556,
      0.4625,
      0.4791,
      0.4857,
      0.5618,
      0.6774,
      0.6577,
      0.6227,
      0.5264,
      0.5755,
      0.6416,
      0.5485,
      0.6056,
      0.581,
      0.6554,
      0.4672,
      0.5461,
      0.5924,
      0.6733,
      0.5347,
      0.6044,
      0.5475,
      0.6019,
      0.5179,
      0.5868,
      0.5884,
      0.5981,
      0.5979,
      0.5853,
      0.5302,
      0.573,
      0.548,
      0.5353,
      0.4982,
      0.6526,
      0.5179,
      0.4692,
      0.5731,
      0.3888,
      0.4384,
      0.7501,
      0.4961,
      0.4942,
      0.4042,
      0.4068,
      0.4524,
      0.5377,
      0.5016,
      0.3589,
      0.4791,
      0.5222,
      0.5333,
      0.5617,
      0.4671,
      0.6005,
      0.6119,
      0.5854,
      0.4421,
      0.557,
      0.4908,
      0.574,
      0.5693,
      0.5772,
      0.6352,
      0.4891,
      0.5178,
      0.587,
      0.6882,
      0.5588,
      0.5989,
      0.5776,
      0.5569,
      0.5587,
      0.5421,
      0.5674,
      0.5872,
      0.5721,
      0.6327,
      0.6376,
      0.593,
      0.579,
      0.5841,
      0.5834,
      0.6183,
      0.5396,
      0.5421,
      0.5261,
      0.509,
      0.6533,
      0.6271,
      0.5554,
      0.5051,
      0.3943,
      0.4373,
      0.4556,
      0.5667,
      0.5732,
      0.4121,
      0.4959,
      0.3368,
      0.4637,
      0.42,
      0.5405,
      0.5881,
      0.6331,
      0.5289,
      0.2766,
      0.2437,
      0,
      0,
      0,
      0,
      0.5379,
      0.5664,
      0.5749,
      0.5354,
      0.5537,
      0.5255,
      0.5127,
      0.3515,
      0.4501,
      0.4697,
      0.4145,
      0.3889,
      0.4028,
      0.4568,
      0.4192,
      0.4167,
      0.5872,
      0.5824,
      0.7046,
      0.5631,
      0.5229,
      0.538,
      0.4557,
      0.4312,
      0.5055,
      0.5955,
      0.456,
      0.4399,
      0.658,
      0.488,
      0.5434,
      0.4492,
      0.3343,
      0.4793,
      0.4543,
      0.4472,
      0.5217,
      0.5362,
      0.5563,
      0.4836,
      0.4157,
      0.4857,
      0.5978,
      0.525,
      0.5347,
      0.4221,
      0.5227,
      0.6035,
      0.5939,
      0.4615,
      0.5328,
      0.5523,
      0.5382,
      0.5437,
      0.5114,
      0.4219,
      0.4084,
      0.5543,
      0.4556,
      0.3806,
      0.4673,
      0.6268,
      0.5319,
      0.5297,
      0.4571,
      0.5768,
      0.5142,
      0.5137,
      0.5446,
      0.5548,
      0.4649,
      0.3999,
      0.4388,
      0.531,
      0.5754,
      0.5129,
      0.4556,
      0.5333,
      0.4874,
      0.5317,
      0.4498,
      0.4484,
      0.4724,
      0.6209,
      0.5368,
      0.5147,
      0.4053,
      0.5403,
      0.5492,
      0.6083,
      0.5133,
      0.5298,
      0.4899,
      0.4998,
      0.5344,
      0.7323,
      0.6433,
      0.6434,
      0.5278,
      0.5927,
      0.5881,
      0.571,
      0.6153,
      0.4913,
      0.5461,
      0.6019,
      0.5946,
      0.4857,
      0.5745,
      0.5622,
      0.5695,
      0.4851,
      0.5322,
      0.5504,
      0.5236,
      0.4911,
      0.4214,
      0.5061,
      0.6222,
      0.5172,
      0.437,
      0.5403,
      0.594,
      0.5285,
      0.6606,
      0.4609,
      0.5567,
      0.4482,
      0.5177,
      0.434,
      0.388,
      0.4172,
      0.4877,
      0.392,
      0.501,
      0.4468,
      0.4643,
      0.6071,
      0.5269,
      0.5072,
      0.6692,
      0.5896,
      0.5432,
      0.4848,
      0.5568,
      0.5953,
      0.6035,
      0.3932,
      0.5649,
      0.5204,
      0.601,
      0.5969,
      0.4759,
      0.3889,
      0.4672,
      0.6814,
      0.4424,
      0.457,
      0.5127,
      0.562,
      0.5654,
      0.452,
      0.5325,
      0.6196,
      0.4718,
      0.5372,
      0.5628,
      0.5176,
      0.5305,
      0.4621,
      0.3866,
      0.5911,
      0.6745,
      0.4973,
      0.801,
      0.5276,
      0.5889,
      0.5217,
      0.4763,
      0.4946,
      0.5038,
      0.593,
      0.5381,
      0.5256,
      0.4517,
      0.5343,
      0.4767,
      0.59,
      0.5052,
      0.5472,
      0.4914,
      0.5413,
      0.5652,
      0.7214,
      0.6534,
      0.6025,
      0.5142,
      0.6025,
      0.5937,
      0.5723,
      0.6109,
      0.4913,
      0.584,
      0.5411,
      0.6065,
      0.465,
      0.5676,
      0.5708,
      0.5623,
      0.4673,
      0.569,
      0.5412,
      0.5256,
      0.481,
      0.5341,
      0.511,
      0.5717,
      0.4932,
      0.667,
      0.5154,
      0.5914,
      0.5512,
      0.5395,
      0.5249,
      0.4827,
      0.5907,
      0.3927,
      0.475,
      0.5606,
      0.4559,
      0.466,
      0.4055,
      0.4595,
      0.396,
      0.4738,
      0.5065,
      0.4056,
      0.4407,
      0.5187,
      0.5187,
      0.5446,
      0.4862,
      0.5673,
      0.6709,
      0.5892,
      0.4173,
      0.5498,
      0.5896,
      0.5372,
      0.5752,
      0.5041,
      0.567,
      0.5362,
      0.6011,
      0.5353,
      0.5689,
      0.5515,
      0.5416,
      0.4891,
      0.4902,
      0.5699,
      0.5969,
      0.5168,
      0.5347,
      0.5463,
      0.5864,
      0.602,
      0.5483,
      0.5622,
      0.6196,
      0.5349,
      0.6165,
      0.5386,
      0.5366,
      0.4512,
      0.6251,
      0.5855,
      0.5395,
      0.5477,
      0.4788,
      0.4493,
      0.4776,
      0.4756,
      0.4996,
      0.5554,
      0.3984,
      0.4241,
      0.3389,
      0.3908,
      0.3787,
      0.407,
      0.5147,
      0.6749,
      0.5442,
      0.1794,
      0.1469,
      0,
      0,
      0,
      0,
      0.441,
      0.4776,
      0.4898,
      0.4294,
      0.4461,
      0.281,
      0.3172,
      0.2837,
      0.3879,
      0.4287,
      0.3196,
      0.3842,
      0.3811,
      0.3375,
      0.374,
      0.4386,
      0.5814,
      0.5676,
      0.5873,
      0.4639,
      0.4051,
      0.5594,
      0.5396,
      0.3973,
      0.4743,
      0.566,
      0.4998,
      0.4762,
      0.6499,
      0.5568,
      0.4652,
      0.3421,
      0.3961,
      0.4573,
      0.4741,
      0.3771,
      0.4414,
      0.528,
      0.6122,
      0.4138,
      0.4447,
      0.5177,
      0.6214,
      0.4927,
      0.5581,
      0.599,
      0.5715,
      0.4273,
      0.5509,
      0.4708,
      0.563,
      0.5566,
      0.5397,
      0.5402,
      0.4875,
      0.4331,
      0.4799,
      0.4795,
      0.4533,
      0.352,
      0.4044,
      0.6455,
      0.5191,
      0.5367,
      0.5411,
      0.5467,
      0.4738,
      0.5984,
      0.471,
      0.4716,
      0.4551,
      0.4104,
      0.4153,
      0.5717,
      0.5046,
      0.4779,
      0.5119,
      0.6828,
      0.5015,
      0.4602,
      0.4883,
      0.4682,
      0.3814,
      0.542,
      0.472,
      0.5018,
      0.3327,
      0.3353,
      0.6139,
      0.6001,
      0.5566,
      0.5187,
      0.5294,
      0.5836,
      0.6593,
      0.6625,
      0.561,
      0.5053,
      0.5012,
      0.592,
      0.5987,
      0.5296,
      0.6088,
      0.4629,
      0.5297,
      0.6325,
      0.5385,
      0.4741,
      0.5886,
      0.4981,
      0.5957,
      0.4557,
      0.5126,
      0.4493,
      0.5063,
      0.4567,
      0.3882,
      0.4493,
      0.52,
      0.3826,
      0.3449,
      0.6449,
      0.5288,
      0.504,
      0.6619,
      0.4815,
      0.5653,
      0.4762,
      0.3812,
      0.3884,
      0.3838,
      0.5286,
      0.3927,
      0.3708,
      0.4049,
      0.5061,
      0.4332,
      0.8668,
      0.5274,
      0.5383,
      0.4921,
      0.4868,
      0.5386,
      0.4524,
      0.4817,
      0.5224,
      0.5029,
      0.5375,
      0.5539,
      0.4692,
      0.5935,
      0.6129,
      0.42,
      0.4278,
      0.4936,
      0.6825,
      0.4626,
      0.4751,
      0.5861,
      0.381,
      0.7398,
      0.5165,
      0.4271,
      0.637,
      0.4322,
      0.4105,
      0.601,
      0.436,
      0.5125,
      0.4594,
      0.4328,
      0.5693,
      0.5046,
      0.4771,
      0.615,
      0.4363,
      0.5921,
      0.4991,
      0.4032,
      0.4536,
      0.4254,
      0.4927,
      0.4483,
      0.4894,
      0.4149,
      0.4383,
      0.6254,
      0.5374,
      0.5547,
      0.5286,
      0.5525,
      0.6047,
      0.6304,
      0.6667,
      0.5894,
      0.5519,
      0.4851,
      0.5792,
      0.5997,
      0.5717,
      0.6227,
      0.5071,
      0.4849,
      0.61,
      0.5235,
      0.4413,
      0.5608,
      0.505,
      0.5946,
      0.4407,
      0.5965,
      0.4348,
      0.4881,
      0.3249,
      0.3562,
      0.4519,
      0.4398,
      0.4506,
      0.6286,
      0.5481,
      0.4725,
      0.4653,
      0.414,
      0.5278,
      0.44,
      0.6282,
      0.4183,
      0.4756,
      0.4482,
      0.4202,
      0.4502,
      0.2621,
      0.4336,
      0.4107,
      0.4966,
      0.5476,
      0.4139,
      0.3656,
      0.4375,
      0.445,
      0.5775,
      0.3905,
      0.5864,
      0.5643,
      0.5164,
      0.4447,
      0.5845,
      0.6036,
      0.5703,
      0.5957,
      0.4905,
      0.5274,
      0.6161,
      0.4933,
      0.4741,
      0.5636,
      0.5305,
      0.6045,
      0.5333,
      0.5637,
      0.3921,
      0.5497,
      0.5207,
      0.5647,
      0.5339,
      0.5371,
      0.4978,
      0.568,
      0.4667,
      0.6093,
      0.4617,
      0.5649,
      0.6041,
      0.6171,
      0.3765,
      0.5047,
      0.5995,
      0.5607,
      0.4127,
      0.4441,
      0.4705,
      0.4105,
      0.4822,
      0.4302,
      0.4814,
      0.438,
      0.4544,
      0.374,
      0.4197,
      0.4918,
      0.394,
      0.5316,
      0.4039,
      0.4728,
      0.2497,
      0,
      0,
      0,
      0,
      0,
      0.4527,
      0.4623,
      0.5221,
      0.4597,
      0.408,
      0.2499,
      0.2716,
      0.3191,
      0.4144,
      0.4382,
      0.429,
      0.3681,
      0.3255,
      0.4098,
      0.4664,
      0.4675,
      0.4795,
      0.4216,
      0.5305,
      0.4187,
      0.4624,
      0.5626,
      0.4096,
      0.4402,
      0.5553,
      0.5812,
      0.5077,
      0.4496,
      0.6785,
      0.5099,
      0.5523,
      0.4592,
      0.373,
      0.4023,
      0.4939,
      0.3749,
      0.4663,
      0.4695,
      0.5145,
      0.5027,
      0.4105,
      0.4555,
      0.6044,
      0.5315,
      0.6134,
      0.4713,
      0.6172,
      0.525,
      0.5406,
      0.4294,
      0.5432,
      0.6354,
      0.6295,
      0.5406,
      0.4481,
      0.4755,
      0.4222,
      0.4839,
      0.5168,
      0.3747,
      0.4477,
      0.6075,
      0.4898,
      0.4638,
      0.4853,
      0.6307,
      0.3364,
      0.4661,
      0.4581,
      0.4646,
      0.3921,
      0.4567,
      0.3776,
      0.4629,
      0.5704,
      0.5437,
      0.4679,
      0.6353,
      0.4996,
      0.4683,
      0.5113,
      0.5576,
      0.5572,
      0.5592,
      0.5516,
      0.5312,
      0.5092,
      0.5032,
      0.591,
      0.5521,
      0.5424,
      0.5408,
      0.5211,
      0.5667,
      0.6944,
      0.6976,
      0.6204,
      0.5389,
      0.4556,
      0.5879,
      0.5583,
      0.5228,
      0.5867,
      0.5113,
      0.4975,
      0.5224,
      0.4933,
      0.4988,
      0.5872,
      0.5306,
      0.5821,
      0.4859,
      0.5292,
      0.5382,
      0.563,
      0.523,
      0.3765,
      0.3845,
      0.5507,
      0.3736,
      0.4633,
      0.5369,
      0.5044,
      0.6316,
      0.6142,
      0.484,
      0.5497,
      0.4932,
      0.5162,
      0.4616,
      0.3289,
      0.6275,
      0.4416,
      0.3524,
      0.4443,
      0.5232,
      0.4544,
      0.7117,
      0.3858,
      0.5118,
      0.5616,
      0.5317,
      0.5046,
      0.5367,
      0.5723,
      0.6057,
      0.5684,
      0.4907,
      0.6095,
      0.4816,
      0.5589,
      0.5906,
      0.5114,
      0.5538,
      0.5191,
      0.611,
      0.4341,
      0.5442,
      0.5381,
      0.4466,
      0.6286,
      0.5948,
      0.4921,
      0.6465,
      0.4396,
      0.3514,
      0.4371,
      0.498,
      0.5771,
      0.4592,
      0.4559,
      0.5225,
      0.6097,
      0.4377,
      0.4966,
      0.4175,
      0.5946,
      0.4933,
      0.4647,
      0.4895,
      0.4935,
      0.5408,
      0.5645,
      0.5158,
      0.5251,
      0.4914,
      0.6099,
      0.6043,
      0.5178,
      0.5601,
      0.5297,
      0.5635,
      0.6571,
      0.6842,
      0.6019,
      0.5431,
      0.4422,
      0.5788,
      0.574,
      0.5284,
      0.5728,
      0.5341,
      0.4964,
      0.5661,
      0.513,
      0.442,
      0.5711,
      0.5421,
      0.5093,
      0.5057,
      0.5069,
      0.5446,
      0.5667,
      0.3832,
      0.315,
      0.501,
      0.4344,
      0.4292,
      0.3457,
      0.5734,
      0.3873,
      0.5446,
      0.5395,
      0.5132,
      0.4795,
      0.6024,
      0.5614,
      0.5248,
      0.4833,
      0.2849,
      0.4323,
      0.2318,
      0.415,
      0.4255,
      0.4939,
      0.5684,
      0.4929,
      0.4753,
      0.5271,
      0.5476,
      0.5291,
      0.4684,
      0.5569,
      0.6234,
      0.5098,
      0.4321,
      0.6087,
      0.5519,
      0.4615,
      0.5593,
      0.5368,
      0.5391,
      0.5627,
      0.4934,
      0.4689,
      0.5488,
      0.5116,
      0.504,
      0.5254,
      0.4903,
      0.4887,
      0.5266,
      0.5403,
      0.5549,
      0.5039,
      0.5412,
      0.4736,
      0.5406,
      0.5273,
      0.5556,
      0.5298,
      0.6434,
      0.5052,
      0.4974,
      0.5006,
      0.6071,
      0.5786,
      0.5822,
      0.4406,
      0.3915,
      0.3384,
      0.3479,
      0.3969,
      0.4732,
      0.5158,
      0.502,
      0.4931,
      0.4148,
      0.4476,
      0.3745,
      0.368,
      0.5075,
      0.4344,
      0.5431,
      0.2369,
      0.0463,
      0,
      0,
      0,
      0,
      0.4892,
      0.4171,
      0.5005,
      0.4519,
      0.3491,
      0.1794,
      0.2112,
      0.4159,
      0.4589,
      0.3484,
      0.2633,
      0.3297,
      0.3272,
      0.306,
      0.2593,
      0.3449,
      0.6085,
      0.3761,
      0.4751,
      0.4216,
      0.3995,
      0.3667,
      0.3276,
      0.3321,
      0.5588,
      0.4928,
      0.5551,
      0.4052,
      0.6657,
      0.4009,
      0.3842,
      0.3291,
      0.3515,
      0.4166,
      0.4965,
      0.3765,
      0.4974,
      0.5297,
      0.5188,
      0.4787,
      0.4964,
      0.456,
      0.479,
      0.3618,
      0.5946,
      0.4004,
      0.5304,
      0.4338,
      0.5277,
      0.4609,
      0.5787,
      0.5742,
      0.621,
      0.5885,
      0.47,
      0.5467,
      0.4423,
      0.4587,
      0.3842,
      0.3781,
      0.5261,
      0.5788,
      0.6122,
      0.4937,
      0.4089,
      0.5718,
      0.2642,
      0.377,
      0.4304,
      0.4447,
      0.526,
      0.4352,
      0.413,
      0.5259,
      0.5577,
      0.4737,
      0.5342,
      0.4909,
      0.56,
      0.459,
      0.4838,
      0.4425,
      0.5564,
      0.5264,
      0.5266,
      0.5389,
      0.5289,
      0.5019,
      0.5367,
      0.5648,
      0.4408,
      0.5449,
      0.5157,
      0.4832,
      0.5729,
      0.6524,
      0.5467,
      0.5686,
      0.4277,
      0.6336,
      0.555,
      0.5335,
      0.5578,
      0.4894,
      0.5372,
      0.4799,
      0.5216,
      0.593,
      0.5515,
      0.547,
      0.5114,
      0.4191,
      0.5696,
      0.4621,
      0.5114,
      0.5544,
      0.3312,
      0.3439,
      0.5291,
      0.5456,
      0.2914,
      0.3758,
      0.5339,
      0.505,
      0.6529,
      0.4368,
      0.5515,
      0.3753,
      0.4282,
      0.4314,
      0.2484,
      0.6872,
      0.3976,
      0.3315,
      0.4631,
      0.5051,
      0.5307,
      0.5436,
      0.4659,
      0.5145,
      0.3821,
      0.4279,
      0.4841,
      0.5493,
      0.5407,
      0.6165,
      0.5579,
      0.459,
      0.5491,
      0.5289,
      0.5785,
      0.6525,
      0.4587,
      0.5781,
      0.5267,
      0.5079,
      0.4553,
      0.5776,
      0.4759,
      0.4693,
      0.4217,
      0.4894,
      0.4237,
      0.5797,
      0.5147,
      0.3548,
      0.4448,
      0.3535,
      0.5757,
      0.5067,
      0.4412,
      0.5925,
      0.5526,
      0.4611,
      0.5163,
      0.4784,
      0.4769,
      0.3214,
      0.2882,
      0.5112,
      0.5139,
      0.5432,
      0.5068,
      0.5404,
      0.5356,
      0.5069,
      0.533,
      0.6088,
      0.402,
      0.5109,
      0.5162,
      0.5206,
      0.5199,
      0.6491,
      0.5136,
      0.5649,
      0.4048,
      0.6465,
      0.5285,
      0.5459,
      0.5624,
      0.4939,
      0.5163,
      0.4984,
      0.5081,
      0.581,
      0.5492,
      0.5022,
      0.542,
      0.4202,
      0.5329,
      0.4786,
      0.4826,
      0.2904,
      0.2489,
      0.4726,
      0.4773,
      0.4001,
      0.441,
      0.6161,
      0.5107,
      0.5148,
      0.5067,
      0.4967,
      0.475,
      0.6891,
      0.5121,
      0.4856,
      0.6065,
      0.462,
      0.4515,
      0.3053,
      0.4476,
      0.4133,
      0.4518,
      0.5124,
      0.5049,
      0.3893,
      0.4409,
      0.5518,
      0.4656,
      0.3856,
      0.571,
      0.5548,
      0.5591,
      0.3413,
      0.6474,
      0.512,
      0.4903,
      0.5112,
      0.45,
      0.5207,
      0.4864,
      0.5294,
      0.5072,
      0.5262,
      0.4915,
      0.534,
      0.5145,
      0.5129,
      0.5114,
      0.4689,
      0.4613,
      0.5512,
      0.5137,
      0.5892,
      0.4789,
      0.575,
      0.4915,
      0.5875,
      0.5757,
      0.6308,
      0.5194,
      0.4963,
      0.4161,
      0.5473,
      0.618,
      0.5482,
      0.4675,
      0.4357,
      0.3842,
      0.4146,
      0.3901,
      0.5178,
      0.4987,
      0.3799,
      0.4597,
      0.3518,
      0.4284,
      0.3613,
      0.4175,
      0.5063,
      0.3816,
      0.5409,
      0.1784,
      0.0073,
      0,
      0,
      0,
      0,
      0.5022,
      0.4479,
      0.4393,
      0.4345,
      0.4145,
      0.2111,
      0.2031,
      0.2837,
      0.4049,
      0.2476,
      0.2989,
      0.2915,
      0.3314,
      0.293,
      0.3169,
      0.3914,
      0.5836,
      0.3174,
      0.4012,
      0.4866,
      0.382,
      0.4408,
      0.2893,
      0.4382,
      0.4955,
      0.499,
      0.4068,
      0.3787,
      0.664,
      0.4064,
      0.3551,
      0.3149,
      0.406,
      0.427,
      0.5177,
      0.4169,
      0.4502,
      0.5501,
      0.4617,
      0.5131,
      0.4405,
      0.4819,
      0.465,
      0.4505,
      0.5828,
      0.4722,
      0.5274,
      0.4492,
      0.5823,
      0.5265,
      0.5877,
      0.6115,
      0.5926,
      0.5206,
      0.4532,
      0.5125,
      0.4446,
      0.4844,
      0.309,
      0.584,
      0.5301,
      0.5872,
      0.651,
      0.4615,
      0.417,
      0.5703,
      0.3337,
      0.3782,
      0.4251,
      0.4395,
      0.4784,
      0.3148,
      0.4293,
      0.5201,
      0.5327,
      0.4621,
      0.4755,
      0.4497,
      0.5662,
      0.3702,
      0.4337,
      0.4793,
      0.4864,
      0.5933,
      0.4798,
      0.4777,
      0.4422,
      0.4862,
      0.5531,
      0.57,
      0.4227,
      0.5084,
      0.5495,
      0.5196,
      0.6139,
      0.6682,
      0.6029,
      0.5536,
      0.4457,
      0.5712,
      0.6025,
      0.5786,
      0.5243,
      0.4975,
      0.5114,
      0.5399,
      0.5461,
      0.6208,
      0.4714,
      0.5497,
      0.5177,
      0.5242,
      0.6245,
      0.4705,
      0.5428,
      0.5839,
      0.2884,
      0.3835,
      0.4737,
      0.4493,
      0.2772,
      0.33,
      0.4601,
      0.4853,
      0.5595,
      0.3914,
      0.572,
      0.4828,
      0.4483,
      0.4224,
      0.3415,
      0.4062,
      0.4688,
      0.3037,
      0.372,
      0.5177,
      0.3218,
      0.5051,
      0.3947,
      0.3503,
      0.4748,
      0.5062,
      0.4656,
      0.5494,
      0.469,
      0.4088,
      0.5855,
      0.4269,
      0.594,
      0.5698,
      0.6105,
      0.5157,
      0.4107,
      0.3682,
      0.4233,
      0.4935,
      0.4057,
      0.5009,
      0.51,
      0.4824,
      0.4386,
      0.4444,
      0.4489,
      0.56,
      0.4173,
      0.3526,
      0.3957,
      0.3886,
      0.4443,
      0.4485,
      0.4057,
      0.4619,
      0.6001,
      0.4578,
      0.5048,
      0.5035,
      0.4776,
      0.2953,
      0.3237,
      0.4914,
      0.3668,
      0.5863,
      0.4513,
      0.4713,
      0.4675,
      0.5106,
      0.5518,
      0.5937,
      0.4283,
      0.4235,
      0.5691,
      0.5335,
      0.5941,
      0.6591,
      0.602,
      0.57,
      0.4418,
      0.5353,
      0.61,
      0.5855,
      0.5007,
      0.4608,
      0.4639,
      0.5183,
      0.5623,
      0.6084,
      0.488,
      0.5446,
      0.5162,
      0.5178,
      0.6181,
      0.5047,
      0.5735,
      0.3224,
      0.2182,
      0.4963,
      0.6471,
      0.3991,
      0.657,
      0.5646,
      0.3019,
      0.4758,
      0.5559,
      0.5161,
      0.5035,
      0.7078,
      0.3063,
      0.535,
      0.7095,
      0.4818,
      0.461,
      0.2786,
      0.353,
      0.4001,
      0.4581,
      0.4975,
      0.4045,
      0.3867,
      0.4464,
      0.4975,
      0.4987,
      0.3123,
      0.5217,
      0.5699,
      0.6066,
      0.3754,
      0.5875,
      0.5478,
      0.5313,
      0.5596,
      0.448,
      0.5087,
      0.5004,
      0.5567,
      0.5919,
      0.5356,
      0.4923,
      0.5757,
      0.5935,
      0.5366,
      0.3824,
      0.4411,
      0.4699,
      0.5856,
      0.529,
      0.4868,
      0.4887,
      0.4921,
      0.547,
      0.5906,
      0.5629,
      0.6353,
      0.5288,
      0.5951,
      0.323,
      0.5479,
      0.5912,
      0.5563,
      0.4783,
      0.4466,
      0.3604,
      0.419,
      0.4498,
      0.4861,
      0.491,
      0.4092,
      0.4771,
      0.3912,
      0.5559,
      0.3711,
      0.3558,
      0.5006,
      0.4027,
      0.5922,
      0.2437,
      0,
      0,
      0,
      0,
      0,
      0.4496,
      0.3927,
      0.4225,
      0.4303,
      0.4379,
      0.2351,
      0.3037,
      0.2252,
      0.405,
      0.295,
      0.3444,
      0.3179,
      0.2761,
      0.3345,
      0.4846,
      0.4191,
      0.5513,
      0.4083,
      0.4949,
      0.4267,
      0.4628,
      0.4489,
      0.3864,
      0.5109,
      0.4798,
      0.5136,
      0.4581,
      0.4787,
      0.6096,
      0.4867,
      0.4782,
      0.2123,
      0.4307,
      0.4575,
      0.5405,
      0.4128,
      0.4768,
      0.6199,
      0.5118,
      0.6386,
      0.4378,
      0.4936,
      0.4634,
      0.4688,
      0.4976,
      0.4258,
      0.5141,
      0.4827,
      0.5581,
      0.4352,
      0.5518,
      0.6125,
      0.5644,
      0.6094,
      0.4741,
      0.534,
      0.5425,
      0.5554,
      0.2489,
      0.4446,
      0.4474,
      0.6122,
      0.5328,
      0.4914,
      0.4505,
      0.4413,
      0.314,
      0.4337,
      0.3972,
      0.4355,
      0.5416,
      0.3533,
      0.4745,
      0.572,
      0.5568,
      0.5644,
      0.5239,
      0.5133,
      0.5693,
      0.4644,
      0.4111,
      0.5204,
      0.496,
      0.5936,
      0.5293,
      0.477,
      0.5159,
      0.5272,
      0.5387,
      0.6313,
      0.5126,
      0.501,
      0.4587,
      0.5483,
      0.6629,
      0.6803,
      0.6013,
      0.5485,
      0.4745,
      0.5687,
      0.565,
      0.5378,
      0.6044,
      0.5945,
      0.541,
      0.6017,
      0.5491,
      0.5913,
      0.5483,
      0.5148,
      0.5269,
      0.5914,
      0.5893,
      0.4827,
      0.4605,
      0.4493,
      0.4386,
      0.4002,
      0.4872,
      0.4672,
      0.3292,
      0.4227,
      0.4298,
      0.4834,
      0.6456,
      0.4809,
      0.6059,
      0.622,
      0.5154,
      0.423,
      0.2717,
      0.5421,
      0.5324,
      0.3493,
      0.4461,
      0.5631,
      0.4561,
      0.4317,
      0.3787,
      0.411,
      0.4784,
      0.4496,
      0.5147,
      0.616,
      0.4962,
      0.409,
      0.5796,
      0.4413,
      0.6099,
      0.5217,
      0.5292,
      0.5652,
      0.405,
      0.3719,
      0.5351,
      0.4634,
      0.5619,
      0.35,
      0.4871,
      0.4999,
      0.4544,
      0.5152,
      0.6735,
      0.5069,
      0.4716,
      0.4477,
      0.4923,
      0.4111,
      0.4493,
      0.362,
      0.5324,
      0.5466,
      0.653,
      0.331,
      0.4445,
      0.4859,
      0.5867,
      0.4301,
      0.397,
      0.5041,
      0.4465,
      0.619,
      0.5369,
      0.511,
      0.5424,
      0.6007,
      0.5345,
      0.6309,
      0.5289,
      0.517,
      0.5213,
      0.5494,
      0.6128,
      0.6707,
      0.5119,
      0.585,
      0.4615,
      0.5584,
      0.5562,
      0.5271,
      0.5919,
      0.5223,
      0.5678,
      0.606,
      0.5426,
      0.6058,
      0.5817,
      0.5423,
      0.5393,
      0.5846,
      0.6322,
      0.5034,
      0.5063,
      0.3369,
      0.2813,
      0.5179,
      0.5771,
      0.3107,
      0.6308,
      0.5835,
      0.3807,
      0.4668,
      0.4065,
      0.5143,
      0.4765,
      0.6681,
      0.4078,
      0.4855,
      0.3093,
      0.4485,
      0.4884,
      0.3166,
      0.4507,
      0.4561,
      0.4312,
      0.5462,
      0.479,
      0.4725,
      0.4531,
      0.4772,
      0.5039,
      0.3525,
      0.5423,
      0.5767,
      0.5756,
      0.3775,
      0.5906,
      0.5158,
      0.5775,
      0.5857,
      0.5178,
      0.5935,
      0.5515,
      0.5633,
      0.524,
      0.6251,
      0.5226,
      0.5154,
      0.5382,
      0.5522,
      0.4775,
      0.5036,
      0.508,
      0.5623,
      0.5073,
      0.468,
      0.5189,
      0.5653,
      0.5267,
      0.5618,
      0.5459,
      0.6444,
      0.4991,
      0.5391,
      0.3491,
      0.5659,
      0.521,
      0.5354,
      0.4904,
      0.4058,
      0.3436,
      0.4654,
      0.4841,
      0.4784,
      0.5267,
      0.4243,
      0.5237,
      0.4213,
      0.5399,
      0.3895,
      0.3383,
      0.5195,
      0.3649,
      0.5891,
      0.1915,
      0,
      0,
      0,
      0,
      0,
      0.4243,
      0.4139,
      0.468,
      0.371,
      0.4427,
      0.348,
      0.3355,
      0.1999,
      0.4958,
      0.3876,
      0.4322,
      0.4212,
      0.4056,
      0.2821,
      0.5005,
      0.4102,
      0.6636,
      0.4133,
      0.5446,
      0.4698,
      0.4459,
      0.4391,
      0.382,
      0.3374,
      0.547,
      0.5024,
      0.4937,
      0.4587,
      0.734,
      0.5095,
      0.451,
      0.3914,
      0.3304,
      0.4563,
      0.5482,
      0.4017,
      0.509,
      0.5896,
      0.5842,
      0.5485,
      0.4652,
      0.5376,
      0.476,
      0.5204,
      0.5138,
      0.4827,
      0.5643,
      0.5142,
      0.4927,
      0.4482,
      0.5843,
      0.6418,
      0.6081,
      0.5925,
      0.5454,
      0.5494,
      0.5265,
      0.582,
      0.4323,
      0.3881,
      0.519,
      0.5415,
      0.614,
      0.491,
      0.3892,
      0.5658,
      0.4453,
      0.4746,
      0.4505,
      0.4463,
      0.5537,
      0.3709,
      0.5826,
      0.5536,
      0.5348,
      0.6129,
      0.6345,
      0.5596,
      0.6173,
      0.5246,
      0.4741,
      0.6195,
      0.5422,
      0.6245,
      0.5974,
      0.3968,
      0.39,
      0.5607,
      0.5106,
      0.5603,
      0.5696,
      0.5629,
      0.5591,
      0.5861,
      0.6157,
      0.6052,
      0.5112,
      0.6392,
      0.44,
      0.5793,
      0.5263,
      0.5145,
      0.5719,
      0.6362,
      0.6413,
      0.5153,
      0.527,
      0.5441,
      0.5608,
      0.5549,
      0.551,
      0.5832,
      0.5452,
      0.5663,
      0.5016,
      0.4678,
      0.4353,
      0.3318,
      0.5155,
      0.4305,
      0.282,
      0.4651,
      0.4616,
      0.4937,
      0.6303,
      0.4374,
      0.602,
      0.4924,
      0.4153,
      0.3701,
      0.342,
      0.504,
      0.5925,
      0.3461,
      0.4011,
      0.4849,
      0.441,
      0.4426,
      0.4135,
      0.5131,
      0.6163,
      0.543,
      0.5597,
      0.471,
      0.5822,
      0.508,
      0.5953,
      0.4203,
      0.5664,
      0.5578,
      0.5995,
      0.6078,
      0.38,
      0.3193,
      0.5545,
      0.4826,
      0.5269,
      0.3628,
      0.4754,
      0.5261,
      0.5856,
      0.5056,
      0.647,
      0.5662,
      0.4791,
      0.5957,
      0.452,
      0.4046,
      0.44,
      0.3595,
      0.5087,
      0.517,
      0.639,
      0.4636,
      0.5735,
      0.5018,
      0.5797,
      0.4675,
      0.4157,
      0.4699,
      0.523,
      0.5931,
      0.5763,
      0.4895,
      0.4133,
      0.5657,
      0.5457,
      0.578,
      0.5512,
      0.5672,
      0.5826,
      0.6005,
      0.5913,
      0.6458,
      0.5512,
      0.6246,
      0.4717,
      0.548,
      0.5747,
      0.5177,
      0.5677,
      0.5989,
      0.66,
      0.5018,
      0.5233,
      0.5762,
      0.5815,
      0.5528,
      0.5303,
      0.5895,
      0.5946,
      0.5535,
      0.4911,
      0.4007,
      0.304,
      0.5393,
      0.4601,
      0.3357,
      0.4179,
      0.5926,
      0.4033,
      0.5174,
      0.5551,
      0.5186,
      0.4829,
      0.6829,
      0.5774,
      0.4349,
      0.4736,
      0.3847,
      0.4212,
      0.4352,
      0.4401,
      0.3897,
      0.5016,
      0.628,
      0.468,
      0.5208,
      0.4925,
      0.545,
      0.5193,
      0.345,
      0.6063,
      0.6274,
      0.5414,
      0.4117,
      0.5457,
      0.5513,
      0.5285,
      0.5633,
      0.6077,
      0.6766,
      0.5098,
      0.5463,
      0.6373,
      0.5766,
      0.5517,
      0.5142,
      0.5193,
      0.5621,
      0.4998,
      0.5414,
      0.5597,
      0.5498,
      0.4994,
      0.4659,
      0.594,
      0.6068,
      0.6108,
      0.5865,
      0.5222,
      0.5923,
      0.5887,
      0.5207,
      0.4214,
      0.5585,
      0.6481,
      0.5046,
      0.5098,
      0.4687,
      0.3387,
      0.4116,
      0.402,
      0.4924,
      0.5409,
      0.413,
      0.4692,
      0.3308,
      0.4308,
      0.4133,
      0.4072,
      0.5548,
      0.4052,
      0.5857,
      0.218,
      0.0466,
      0,
      0,
      0,
      0,
      0.603,
      0.494,
      0.4987,
      0.4941,
      0.4888,
      0.426,
      0.4427,
      0.2923,
      0.495,
      0.2862,
      0.3927,
      0.4069,
      0.368,
      0.3111,
      0.3112,
      0.3977,
      0.5814,
      0.6449,
      0.7192,
      0.6108,
      0.525,
      0.5195,
      0.5309,
      0.4118,
      0.5831,
      0.5257,
      0.4783,
      0.4826,
      0.5736,
      0.4306,
      0.4296,
      0.5818,
      0.4358,
      0.5008,
      0.5383,
      0.4264,
      0.4036,
      0.5096,
      0.5656,
      0.4888,
      0.4551,
      0.4467,
      0.4972,
      0.6117,
      0.4791,
      0.4504,
      0.5751,
      0.5516,
      0.5335,
      0.5554,
      0.5157,
      0.6075,
      0.5475,
      0.5678,
      0.4399,
      0.5231,
      0.5129,
      0.4964,
      0.381,
      0.3117,
      0.4941,
      0.5936,
      0.6115,
      0.5812,
      0.5017,
      0.6333,
      0.5984,
      0.6008,
      0.5952,
      0.5672,
      0.5279,
      0.5382,
      0.3839,
      0.5997,
      0.5075,
      0.5081,
      0.5647,
      0.5605,
      0.5766,
      0.5804,
      0.3895,
      0.6131,
      0.5866,
      0.5787,
      0.628,
      0.5072,
      0.4782,
      0.4337,
      0.6267,
      0.6651,
      0.6087,
      0.5949,
      0.5165,
      0.6115,
      0.6405,
      0.6752,
      0.6597,
      0.6429,
      0.554,
      0.6024,
      0.506,
      0.5763,
      0.6003,
      0.5261,
      0.6154,
      0.6634,
      0.57,
      0.5508,
      0.5882,
      0.6055,
      0.67,
      0.4998,
      0.4917,
      0.6163,
      0.5953,
      0.5187,
      0.4959,
      0.5715,
      0.546,
      0.5219,
      0.5292,
      0.4109,
      0.5756,
      0.5112,
      0.6044,
      0.4642,
      0.5879,
      0.4785,
      0.476,
      0.3441,
      0.334,
      0.517,
      0.5256,
      0.4112,
      0.385,
      0.5655,
      0.4086,
      0.5473,
      0.5162,
      0.519,
      0.7101,
      0.574,
      0.4987,
      0.4471,
      0.5815,
      0.5199,
      0.6382,
      0.4847,
      0.646,
      0.5571,
      0.5759,
      0.51,
      0.3655,
      0.3513,
      0.508,
      0.4532,
      0.5118,
      0.39,
      0.5889,
      0.5364,
      0.4617,
      0.4941,
      0.5601,
      0.5895,
      0.4856,
      0.5654,
      0.6158,
      0.4842,
      0.5156,
      0.5248,
      0.4265,
      0.5844,
      0.5678,
      0.5252,
      0.7584,
      0.605,
      0.5958,
      0.4403,
      0.4639,
      0.546,
      0.5354,
      0.5632,
      0.6132,
      0.5079,
      0.4886,
      0.4474,
      0.6139,
      0.6811,
      0.6099,
      0.5675,
      0.4747,
      0.6576,
      0.571,
      0.6691,
      0.6682,
      0.6391,
      0.552,
      0.6372,
      0.5463,
      0.5568,
      0.5874,
      0.546,
      0.5565,
      0.6005,
      0.6136,
      0.5329,
      0.5762,
      0.5885,
      0.6474,
      0.5046,
      0.5503,
      0.5858,
      0.6099,
      0.5057,
      0.5576,
      0.5946,
      0.5284,
      0.5391,
      0.577,
      0.5705,
      0.5279,
      0.4928,
      0.5906,
      0.5111,
      0.4813,
      0.6437,
      0.6825,
      0.319,
      0.3549,
      0.4098,
      0.414,
      0.4779,
      0.3672,
      0.4931,
      0.5082,
      0.5654,
      0.5105,
      0.4228,
      0.4442,
      0.6061,
      0.5047,
      0.4385,
      0.5887,
      0.5918,
      0.5986,
      0.5386,
      0.5824,
      0.4287,
      0.6414,
      0.5869,
      0.5521,
      0.5979,
      0.6145,
      0.661,
      0.5662,
      0.5584,
      0.5391,
      0.6151,
      0.5579,
      0.5127,
      0.5944,
      0.5763,
      0.6186,
      0.5383,
      0.6188,
      0.6049,
      0.591,
      0.5534,
      0.6799,
      0.6014,
      0.5577,
      0.6225,
      0.5838,
      0.5687,
      0.5026,
      0.5811,
      0.5346,
      0.5824,
      0.5424,
      0.3747,
      0.317,
      0.3609,
      0.3817,
      0.4303,
      0.4802,
      0.5059,
      0.3348,
      0.3563,
      0.402,
      0.3531,
      0.4238,
      0.545,
      0.3196,
      0.5532,
      0.1954,
      0.0532,
      0,
      0,
      0,
      0,
      0.4506,
      0.354,
      0.4119,
      0.4642,
      0.413,
      0.207,
      0.2139,
      0.2243,
      0.439,
      0.2685,
      0.2813,
      0.3401,
      0.355,
      0.3356,
      0.3311,
      0.3746,
      0.6271,
      0.6543,
      0.6117,
      0.4816,
      0.4051,
      0.6176,
      0.5962,
      0.4874,
      0.6216,
      0.5828,
      0.5393,
      0.5597,
      0.6027,
      0.4972,
      0.4872,
      0.5305,
      0.3745,
      0.4998,
      0.517,
      0.4428,
      0.4198,
      0.5333,
      0.7362,
      0.6055,
      0.4977,
      0.5187,
      0.4727,
      0.549,
      0.4641,
      0.6373,
      0.6532,
      0.4676,
      0.5677,
      0.5294,
      0.6212,
      0.7345,
      0.5911,
      0.6365,
      0.5446,
      0.4749,
      0.4558,
      0.573,
      0.4341,
      0.4989,
      0.572,
      0.5481,
      0.6137,
      0.5724,
      0.6089,
      0.626,
      0.5948,
      0.7155,
      0.5252,
      0.5718,
      0.4557,
      0.3888,
      0.3845,
      0.5441,
      0.6035,
      0.5898,
      0.5491,
      0.6351,
      0.514,
      0.5618,
      0.4182,
      0.4648,
      0.6515,
      0.5935,
      0.49,
      0.4153,
      0.4617,
      0.4908,
      0.6417,
      0.5886,
      0.5311,
      0.6285,
      0.4525,
      0.5838,
      0.5681,
      0.7347,
      0.6888,
      0.6417,
      0.4683,
      0.7043,
      0.5874,
      0.5752,
      0.5996,
      0.512,
      0.5437,
      0.6171,
      0.5598,
      0.5108,
      0.5615,
      0.5055,
      0.6354,
      0.4934,
      0.5469,
      0.5482,
      0.4848,
      0.4787,
      0.3397,
      0.3843,
      0.4704,
      0.3798,
      0.5517,
      0.4818,
      0.566,
      0.5755,
      0.6405,
      0.4633,
      0.5331,
      0.4489,
      0.4275,
      0.3614,
      0.3368,
      0.5202,
      0.4885,
      0.4479,
      0.4456,
      0.5464,
      0.4788,
      0.794,
      0.5185,
      0.5381,
      0.6467,
      0.5413,
      0.4735,
      0.4211,
      0.571,
      0.4872,
      0.5842,
      0.5364,
      0.6753,
      0.5512,
      0.6271,
      0.6534,
      0.4255,
      0.3431,
      0.5374,
      0.48,
      0.5443,
      0.517,
      0.5419,
      0.4965,
      0.7618,
      0.5292,
      0.4862,
      0.551,
      0.4329,
      0.4614,
      0.6432,
      0.3663,
      0.5137,
      0.3679,
      0.412,
      0.59,
      0.6167,
      0.477,
      0.5327,
      0.5182,
      0.6803,
      0.5113,
      0.4501,
      0.5368,
      0.625,
      0.5321,
      0.457,
      0.498,
      0.4451,
      0.5505,
      0.6682,
      0.6213,
      0.4735,
      0.6102,
      0.467,
      0.6255,
      0.5229,
      0.7301,
      0.6379,
      0.6216,
      0.4322,
      0.6892,
      0.5973,
      0.5748,
      0.5891,
      0.5464,
      0.4909,
      0.5931,
      0.6027,
      0.4958,
      0.5033,
      0.4956,
      0.5925,
      0.415,
      0.6107,
      0.5497,
      0.5085,
      0.4353,
      0.3856,
      0.4887,
      0.4793,
      0.374,
      0.6336,
      0.568,
      0.4877,
      0.5186,
      0.6345,
      0.5087,
      0.5205,
      0.6284,
      0.5391,
      0.4186,
      0.5564,
      0.4813,
      0.5818,
      0.3073,
      0.3778,
      0.5283,
      0.4705,
      0.546,
      0.4954,
      0.4093,
      0.3882,
      0.5457,
      0.5073,
      0.4245,
      0.4995,
      0.5626,
      0.6225,
      0.4519,
      0.6985,
      0.5918,
      0.5803,
      0.5692,
      0.4238,
      0.5275,
      0.5991,
      0.602,
      0.5689,
      0.4875,
      0.5078,
      0.6134,
      0.5437,
      0.564,
      0.5059,
      0.5018,
      0.5993,
      0.5276,
      0.4835,
      0.6278,
      0.5005,
      0.4433,
      0.5362,
      0.5922,
      0.5814,
      0.6734,
      0.5184,
      0.5626,
      0.3636,
      0.5521,
      0.6059,
      0.6089,
      0.5003,
      0.3801,
      0.2868,
      0.3801,
      0.4653,
      0.5094,
      0.5253,
      0.5229,
      0.5079,
      0.4013,
      0.5021,
      0.3865,
      0.4336,
      0.549,
      0.297,
      0.5647,
      0.2938,
      0.0668,
      0,
      0,
      0,
      0,
      0.3539,
      0.3484,
      0.2908,
      0.3373,
      0.3964,
      0.1917,
      0.1749,
      0.2717,
      0.5135,
      0.2133,
      0.2793,
      0.3032,
      0.2266,
      0.1717,
      0.3611,
      0.2738,
      0.6247,
      0.5337,
      0.3409,
      0.4604,
      0.3384,
      0.6637,
      0.5845,
      0.6603,
      0.5581,
      0.5345,
      0.4172,
      0.4734,
      0.6133,
      0.516,
      0.5038,
      0.428,
      0.3351,
      0.4417,
      0.4655,
      0.367,
      0.4557,
      0.5611,
      0.5734,
      0.5683,
      0.5266,
      0.459,
      0.5696,
      0.4518,
      0.5873,
      0.4467,
      0.6809,
      0.5453,
      0.5906,
      0.4871,
      0.4954,
      0.6983,
      0.5678,
      0.5758,
      0.4514,
      0.4708,
      0.4941,
      0.5736,
      0.4349,
      0.3849,
      0.4735,
      0.591,
      0.5479,
      0.5025,
      0.5975,
      0.6298,
      0.4169,
      0.6401,
      0.5087,
      0.5397,
      0.4995,
      0.4639,
      0.4259,
      0.5289,
      0.5167,
      0.5607,
      0.4788,
      0.7572,
      0.5033,
      0.5935,
      0.4473,
      0.4946,
      0.6484,
      0.6634,
      0.5397,
      0.5391,
      0.4139,
      0.4434,
      0.5294,
      0.6557,
      0.4783,
      0.542,
      0.5345,
      0.5758,
      0.5465,
      0.6629,
      0.6617,
      0.6656,
      0.5313,
      0.6488,
      0.4753,
      0.5731,
      0.5965,
      0.408,
      0.5462,
      0.5725,
      0.5512,
      0.6065,
      0.5592,
      0.5362,
      0.6598,
      0.4999,
      0.5606,
      0.594,
      0.5078,
      0.461,
      0.3061,
      0.4199,
      0.5115,
      0.4554,
      0.4969,
      0.428,
      0.4909,
      0.5261,
      0.5573,
      0.4465,
      0.5893,
      0.4418,
      0.4229,
      0.3493,
      0.3749,
      0.4977,
      0.4135,
      0.4174,
      0.4075,
      0.5553,
      0.495,
      0.5752,
      0.4208,
      0.4082,
      0.5354,
      0.4769,
      0.5798,
      0.4274,
      0.5442,
      0.5103,
      0.6135,
      0.4909,
      0.6353,
      0.4173,
      0.6502,
      0.5277,
      0.5026,
      0.3023,
      0.5252,
      0.5052,
      0.5026,
      0.5474,
      0.4063,
      0.4365,
      0.6004,
      0.6958,
      0.5533,
      0.6797,
      0.448,
      0.3807,
      0.4467,
      0.3852,
      0.5842,
      0.3666,
      0.5185,
      0.5897,
      0.661,
      0.414,
      0.4444,
      0.5261,
      0.6059,
      0.4763,
      0.4816,
      0.5181,
      0.6255,
      0.6597,
      0.5481,
      0.5419,
      0.4147,
      0.5004,
      0.5697,
      0.6753,
      0.3928,
      0.611,
      0.5254,
      0.6121,
      0.5072,
      0.6454,
      0.677,
      0.6114,
      0.5074,
      0.651,
      0.5386,
      0.5217,
      0.5843,
      0.5266,
      0.5902,
      0.6347,
      0.5659,
      0.6046,
      0.5538,
      0.5133,
      0.6337,
      0.4899,
      0.5904,
      0.565,
      0.494,
      0.3404,
      0.255,
      0.3833,
      0.4967,
      0.3087,
      0.5779,
      0.4613,
      0.3928,
      0.4313,
      0.4304,
      0.5415,
      0.5051,
      0.6153,
      0.4424,
      0.4676,
      0.5657,
      0.4646,
      0.545,
      0.273,
      0.4235,
      0.4464,
      0.4775,
      0.5189,
      0.466,
      0.4475,
      0.3982,
      0.4243,
      0.5651,
      0.3241,
      0.5393,
      0.5457,
      0.6109,
      0.5062,
      0.6689,
      0.5208,
      0.5448,
      0.5777,
      0.4638,
      0.594,
      0.6216,
      0.5557,
      0.6123,
      0.5818,
      0.5307,
      0.6431,
      0.5371,
      0.5323,
      0.5634,
      0.5033,
      0.6077,
      0.611,
      0.5044,
      0.4884,
      0.4327,
      0.5537,
      0.5625,
      0.7051,
      0.5986,
      0.5831,
      0.5162,
      0.5782,
      0.359,
      0.536,
      0.6612,
      0.6682,
      0.4816,
      0.4145,
      0.3285,
      0.4144,
      0.4093,
      0.4837,
      0.4982,
      0.4956,
      0.5439,
      0.3987,
      0.4283,
      0.4132,
      0.425,
      0.5429,
      0.3968,
      0.5914,
      0.2375,
      0.0613,
      0,
      0,
      0,
      0,
      0.3977,
      0.3722,
      0.4875,
      0.2536,
      0.4396,
      0.2721,
      0.155,
      0.2817,
      0.5635,
      0.2215,
      0.2638,
      0.3302,
      0.3311,
      0.2133,
      0.4071,
      0.2797,
      0.6355,
      0.4632,
      0.4081,
      0.5137,
      0.3688,
      0.4686,
      0.4629,
      0.4618,
      0.5746,
      0.5091,
      0.4422,
      0.4531,
      0.6068,
      0.4681,
      0.472,
      0.344,
      0.3983,
      0.4996,
      0.4281,
      0.4776,
      0.4547,
      0.5734,
      0.5159,
      0.4724,
      0.4366,
      0.4347,
      0.6607,
      0.4559,
      0.5047,
      0.4789,
      0.5867,
      0.5816,
      0.5737,
      0.4407,
      0.6272,
      0.661,
      0.659,
      0.6081,
      0.5028,
      0.5616,
      0.4165,
      0.5521,
      0.5575,
      0.4517,
      0.5148,
      0.583,
      0.6831,
      0.4912,
      0.4339,
      0.5705,
      0.3968,
      0.4813,
      0.5073,
      0.5493,
      0.483,
      0.4554,
      0.3889,
      0.5836,
      0.5707,
      0.5564,
      0.478,
      0.6311,
      0.5461,
      0.4849,
      0.4088,
      0.4442,
      0.526,
      0.6309,
      0.5457,
      0.4991,
      0.4044,
      0.5044,
      0.5742,
      0.5785,
      0.5134,
      0.6547,
      0.5267,
      0.6207,
      0.5422,
      0.6991,
      0.6989,
      0.5897,
      0.4997,
      0.608,
      0.5762,
      0.5619,
      0.5393,
      0.5774,
      0.5929,
      0.5931,
      0.5312,
      0.6128,
      0.5671,
      0.5558,
      0.5332,
      0.5175,
      0.6047,
      0.5507,
      0.5346,
      0.4863,
      0.2637,
      0.4329,
      0.477,
      0.5988,
      0.3452,
      0.4172,
      0.5015,
      0.5531,
      0.5626,
      0.3412,
      0.6008,
      0.4595,
      0.479,
      0.4262,
      0.376,
      0.5736,
      0.4322,
      0.3426,
      0.387,
      0.5515,
      0.5709,
      0.5198,
      0.418,
      0.4269,
      0.5171,
      0.4629,
      0.4843,
      0.4907,
      0.5726,
      0.5529,
      0.6274,
      0.3696,
      0.5978,
      0.4162,
      0.5727,
      0.4691,
      0.3974,
      0.4985,
      0.4933,
      0.5542,
      0.558,
      0.558,
      0.5111,
      0.5331,
      0.4818,
      0.6815,
      0.4682,
      0.6582,
      0.5008,
      0.3891,
      0.4368,
      0.4225,
      0.4677,
      0.5548,
      0.4666,
      0.6557,
      0.5992,
      0.4204,
      0.4754,
      0.4773,
      0.5193,
      0.4247,
      0.3878,
      0.4964,
      0.5284,
      0.6158,
      0.5508,
      0.4987,
      0.4066,
      0.5973,
      0.5323,
      0.6556,
      0.5346,
      0.6791,
      0.5518,
      0.6131,
      0.5231,
      0.6843,
      0.7151,
      0.5838,
      0.4531,
      0.6017,
      0.5991,
      0.5419,
      0.5182,
      0.5519,
      0.5687,
      0.5598,
      0.5581,
      0.6165,
      0.5718,
      0.591,
      0.4795,
      0.5187,
      0.6681,
      0.5417,
      0.5332,
      0.3927,
      0.2467,
      0.431,
      0.366,
      0.2985,
      0.327,
      0.4553,
      0.3981,
      0.3534,
      0.495,
      0.5658,
      0.5016,
      0.5435,
      0.414,
      0.383,
      0.3182,
      0.45,
      0.4832,
      0.3163,
      0.4561,
      0.4371,
      0.5355,
      0.5043,
      0.4881,
      0.4205,
      0.4657,
      0.5845,
      0.4999,
      0.4102,
      0.5561,
      0.5266,
      0.5978,
      0.3734,
      0.5782,
      0.547,
      0.5531,
      0.5134,
      0.5575,
      0.5944,
      0.5316,
      0.5207,
      0.563,
      0.571,
      0.5646,
      0.4947,
      0.5144,
      0.6769,
      0.5171,
      0.5175,
      0.5604,
      0.6466,
      0.5155,
      0.6254,
      0.5307,
      0.4793,
      0.5153,
      0.5946,
      0.6586,
      0.6371,
      0.5367,
      0.5187,
      0.3424,
      0.5407,
      0.6026,
      0.5849,
      0.4871,
      0.4842,
      0.3552,
      0.4159,
      0.3905,
      0.5221,
      0.554,
      0.4404,
      0.4891,
      0.4959,
      0.5022,
      0.4341,
      0.5049,
      0.5047,
      0.3229,
      0.5956,
      0.2737,
      0.045,
      0,
      0,
      0,
      0,
      0.4194,
      0.4004,
      0.4859,
      0.2582,
      0.3968,
      0.228,
      0.2557,
      0.1719,
      0.415,
      0.252,
      0.2639,
      0.2543,
      0.3127,
      0.1969,
      0.4478,
      0.2427,
      0.5027,
      0.441,
      0.3792,
      0.4487,
      0.3651,
      0.4476,
      0.3882,
      0.4696,
      0.6261,
      0.6019,
      0.6221,
      0.6067,
      0.7267,
      0.6423,
      0.3964,
      0.3737,
      0.4043,
      0.4708,
      0.3537,
      0.5334,
      0.4465,
      0.5342,
      0.4844,
      0.5405,
      0.4845,
      0.5437,
      0.6798,
      0.5889,
      0.5653,
      0.4832,
      0.4846,
      0.5834,
      0.5707,
      0.4417,
      0.624,
      0.6548,
      0.6374,
      0.6101,
      0.4619,
      0.5277,
      0.478,
      0.6056,
      0.602,
      0.4748,
      0.494,
      0.6172,
      0.717,
      0.6089,
      0.367,
      0.5835,
      0.386,
      0.4436,
      0.3937,
      0.518,
      0.503,
      0.4172,
      0.4224,
      0.5876,
      0.6436,
      0.6295,
      0.6154,
      0.6632,
      0.635,
      0.4997,
      0.4107,
      0.5348,
      0.5405,
      0.6057,
      0.5396,
      0.4736,
      0.395,
      0.5032,
      0.6245,
      0.6044,
      0.5579,
      0.6408,
      0.5645,
      0.5809,
      0.6176,
      0.7169,
      0.6635,
      0.6475,
      0.5029,
      0.6265,
      0.4845,
      0.5525,
      0.5194,
      0.4313,
      0.639,
      0.5021,
      0.5134,
      0.6174,
      0.5223,
      0.4922,
      0.5863,
      0.6125,
      0.6334,
      0.5492,
      0.5856,
      0.5885,
      0.2965,
      0.3604,
      0.5841,
      0.4369,
      0.3399,
      0.326,
      0.5378,
      0.6077,
      0.5974,
      0.6013,
      0.6789,
      0.6625,
      0.442,
      0.4098,
      0.3442,
      0.4906,
      0.4324,
      0.3247,
      0.4558,
      0.483,
      0.5336,
      0.4581,
      0.3908,
      0.5349,
      0.5472,
      0.5937,
      0.5702,
      0.5218,
      0.546,
      0.4911,
      0.6081,
      0.4056,
      0.6486,
      0.5242,
      0.5821,
      0.5769,
      0.4253,
      0.3552,
      0.4948,
      0.5039,
      0.6468,
      0.5627,
      0.5234,
      0.3776,
      0.6014,
      0.6397,
      0.4919,
      0.6545,
      0.4466,
      0.4127,
      0.405,
      0.4216,
      0.3505,
      0.3664,
      0.364,
      0.5505,
      0.6501,
      0.522,
      0.5924,
      0.6878,
      0.6215,
      0.395,
      0.3991,
      0.5168,
      0.5195,
      0.5697,
      0.5295,
      0.4725,
      0.4242,
      0.5865,
      0.6289,
      0.7,
      0.5753,
      0.6695,
      0.5869,
      0.5914,
      0.5626,
      0.694,
      0.5961,
      0.64,
      0.4849,
      0.6039,
      0.4876,
      0.5534,
      0.5234,
      0.5076,
      0.5717,
      0.5226,
      0.5257,
      0.6386,
      0.6159,
      0.4924,
      0.5759,
      0.6008,
      0.6727,
      0.5346,
      0.5799,
      0.3587,
      0.2381,
      0.4487,
      0.3925,
      0.3386,
      0.3968,
      0.4957,
      0.3635,
      0.3829,
      0.4746,
      0.5636,
      0.5385,
      0.5732,
      0.5511,
      0.4164,
      0.3556,
      0.4529,
      0.5626,
      0.383,
      0.521,
      0.4207,
      0.4702,
      0.533,
      0.4632,
      0.5549,
      0.6442,
      0.5759,
      0.5538,
      0.5118,
      0.5529,
      0.5543,
      0.6021,
      0.5616,
      0.6441,
      0.5383,
      0.5521,
      0.4997,
      0.4793,
      0.6284,
      0.5101,
      0.4437,
      0.6199,
      0.58,
      0.4851,
      0.5956,
      0.6173,
      0.6903,
      0.5426,
      0.6025,
      0.5796,
      0.5839,
      0.5326,
      0.5759,
      0.4796,
      0.4823,
      0.6047,
      0.5913,
      0.6428,
      0.5945,
      0.6359,
      0.6347,
      0.6517,
      0.5374,
      0.6968,
      0.5639,
      0.5128,
      0.3853,
      0.3405,
      0.3864,
      0.5028,
      0.4437,
      0.4744,
      0.4634,
      0.6665,
      0.622,
      0.6734,
      0.5634,
      0.6202,
      0.5302,
      0.4365,
      0.5704,
      0.465,
      0.2264,
      0,
      0,
      0,
      0,
      0.4117,
      0.326,
      0.4201,
      0.2652,
      0.4492,
      0.2131,
      0.2279,
      0.2349,
      0.2903,
      0.2972,
      0.3812,
      0.3144,
      0.3469,
      0.3735,
      0.3822,
      0.3697,
      0.5571,
      0.4366,
      0.4565,
      0.5423,
      0.4393,
      0.4961,
      0.3904,
      0.4559,
      0.5442,
      0.6044,
      0.5672,
      0.6618,
      0.7118,
      0.6006,
      0.5061,
      0.4407,
      0.3983,
      0.55,
      0.4714,
      0.5446,
      0.5054,
      0.6349,
      0.6079,
      0.5175,
      0.4445,
      0.4949,
      0.6202,
      0.623,
      0.6195,
      0.4355,
      0.5653,
      0.6209,
      0.5409,
      0.5333,
      0.6495,
      0.6537,
      0.5606,
      0.6275,
      0.4887,
      0.4534,
      0.5398,
      0.6,
      0.5202,
      0.4006,
      0.5678,
      0.6571,
      0.6714,
      0.619,
      0.5491,
      0.5967,
      0.4722,
      0.4608,
      0.4486,
      0.5494,
      0.5227,
      0.3651,
      0.5355,
      0.418,
      0.6139,
      0.5559,
      0.691,
      0.6249,
      0.6268,
      0.54,
      0.4951,
      0.5302,
      0.5116,
      0.7184,
      0.5232,
      0.4747,
      0.4893,
      0.5651,
      0.5785,
      0.6896,
      0.6181,
      0.6305,
      0.5964,
      0.6176,
      0.6323,
      0.7254,
      0.6457,
      0.6435,
      0.5114,
      0.6399,
      0.5869,
      0.5983,
      0.6008,
      0.6156,
      0.7388,
      0.5866,
      0.5659,
      0.6714,
      0.6085,
      0.5023,
      0.5137,
      0.5821,
      0.6824,
      0.5261,
      0.6115,
      0.5097,
      0.3982,
      0.4429,
      0.4758,
      0.5043,
      0.382,
      0.4147,
      0.5025,
      0.592,
      0.6567,
      0.6245,
      0.6563,
      0.6221,
      0.518,
      0.4539,
      0.3744,
      0.5085,
      0.4447,
      0.3514,
      0.4559,
      0.5967,
      0.626,
      0.5177,
      0.3316,
      0.5043,
      0.5863,
      0.5811,
      0.5278,
      0.5373,
      0.5609,
      0.4824,
      0.6036,
      0.4147,
      0.5718,
      0.5423,
      0.6269,
      0.6066,
      0.4455,
      0.3483,
      0.4902,
      0.4965,
      0.6261,
      0.3918,
      0.5264,
      0.5105,
      0.5833,
      0.6282,
      0.6474,
      0.6519,
      0.4799,
      0.5826,
      0.4862,
      0.5063,
      0.5293,
      0.35,
      0.3801,
      0.4697,
      0.6788,
      0.4589,
      0.6257,
      0.6458,
      0.5762,
      0.5045,
      0.5058,
      0.52,
      0.4929,
      0.7037,
      0.4916,
      0.5004,
      0.507,
      0.5875,
      0.5782,
      0.6807,
      0.6272,
      0.6549,
      0.6221,
      0.6222,
      0.5766,
      0.6961,
      0.6323,
      0.6441,
      0.496,
      0.6395,
      0.6088,
      0.5946,
      0.6006,
      0.6098,
      0.744,
      0.5654,
      0.5651,
      0.6808,
      0.6169,
      0.5297,
      0.5805,
      0.5859,
      0.7254,
      0.5757,
      0.5995,
      0.3192,
      0.163,
      0.4185,
      0.3152,
      0.2748,
      0.5603,
      0.4674,
      0.3125,
      0.4507,
      0.5352,
      0.5508,
      0.5033,
      0.5237,
      0.4984,
      0.397,
      0.3416,
      0.4625,
      0.5366,
      0.3886,
      0.4874,
      0.521,
      0.6295,
      0.5232,
      0.4548,
      0.5371,
      0.648,
      0.607,
      0.4889,
      0.4784,
      0.6108,
      0.5169,
      0.5868,
      0.5125,
      0.6649,
      0.5839,
      0.5517,
      0.5843,
      0.6279,
      0.6974,
      0.5477,
      0.5544,
      0.6416,
      0.5994,
      0.4849,
      0.6109,
      0.5832,
      0.7064,
      0.5204,
      0.6208,
      0.5768,
      0.5933,
      0.5544,
      0.5715,
      0.6659,
      0.5247,
      0.5474,
      0.5776,
      0.6361,
      0.6071,
      0.6738,
      0.6883,
      0.5836,
      0.5513,
      0.7119,
      0.5985,
      0.5871,
      0.4836,
      0.4819,
      0.4027,
      0.5138,
      0.5923,
      0.6076,
      0.4056,
      0.6819,
      0.6281,
      0.6545,
      0.5536,
      0.5467,
      0.5638,
      0.441,
      0.6,
      0.355,
      0.2599,
      0,
      0,
      0,
      0,
      0.3722,
      0.2192,
      0.3999,
      0.2775,
      0.4364,
      0.1869,
      0.214,
      0.2059,
      0.3703,
      0.3763,
      0.3527,
      0.3198,
      0.441,
      0.436,
      0.478,
      0.4421,
      0.6303,
      0.46,
      0.4407,
      0.5591,
      0.3747,
      0.4574,
      0.4059,
      0.4062,
      0.4921,
      0.3963,
      0.5566,
      0.5157,
      0.6234,
      0.4594,
      0.4616,
      0.4639,
      0.3745,
      0.4962,
      0.4308,
      0.3984,
      0.4519,
      0.6054,
      0.5109,
      0.4821,
      0.375,
      0.421,
      0.4475,
      0.5343,
      0.6672,
      0.3991,
      0.5252,
      0.5357,
      0.5726,
      0.5298,
      0.5972,
      0.5295,
      0.6475,
      0.5706,
      0.4274,
      0.4903,
      0.4731,
      0.5494,
      0.4083,
      0.406,
      0.5865,
      0.6392,
      0.5086,
      0.5066,
      0.4576,
      0.5736,
      0.4722,
      0.4674,
      0.3903,
      0.5,
      0.4284,
      0.3488,
      0.6355,
      0.5279,
      0.5101,
      0.4827,
      0.7231,
      0.4496,
      0.4398,
      0.5731,
      0.5497,
      0.5296,
      0.615,
      0.6397,
      0.5682,
      0.52,
      0.4327,
      0.5011,
      0.6226,
      0.7438,
      0.5214,
      0.6217,
      0.5274,
      0.5773,
      0.5987,
      0.6354,
      0.6601,
      0.6872,
      0.5042,
      0.5555,
      0.5798,
      0.5864,
      0.6069,
      0.6182,
      0.7376,
      0.6,
      0.6134,
      0.6598,
      0.5456,
      0.5557,
      0.6066,
      0.4825,
      0.6174,
      0.5454,
      0.6404,
      0.4116,
      0.3333,
      0.4115,
      0.5149,
      0.4264,
      0.3479,
      0.4304,
      0.492,
      0.4752,
      0.6436,
      0.5045,
      0.6597,
      0.4976,
      0.4456,
      0.495,
      0.4039,
      0.467,
      0.4635,
      0.3339,
      0.4103,
      0.5086,
      0.513,
      0.5087,
      0.3863,
      0.5115,
      0.4267,
      0.5234,
      0.6717,
      0.4759,
      0.5232,
      0.4729,
      0.653,
      0.4196,
      0.4886,
      0.4768,
      0.6686,
      0.5269,
      0.3808,
      0.3289,
      0.4864,
      0.4363,
      0.6168,
      0.4677,
      0.4939,
      0.4283,
      0.4395,
      0.4582,
      0.6149,
      0.6211,
      0.435,
      0.5904,
      0.4742,
      0.45,
      0.4067,
      0.2808,
      0.4144,
      0.5648,
      0.6446,
      0.4635,
      0.5015,
      0.5065,
      0.4609,
      0.3988,
      0.5321,
      0.4764,
      0.5568,
      0.6223,
      0.5432,
      0.536,
      0.4427,
      0.529,
      0.6127,
      0.7139,
      0.5203,
      0.6054,
      0.5128,
      0.6038,
      0.5352,
      0.6302,
      0.6193,
      0.67,
      0.5006,
      0.5618,
      0.5839,
      0.5955,
      0.6356,
      0.5505,
      0.7049,
      0.5412,
      0.6145,
      0.6624,
      0.5225,
      0.5401,
      0.5741,
      0.4339,
      0.6863,
      0.559,
      0.6309,
      0.4094,
      0.2587,
      0.3881,
      0.4506,
      0.2745,
      0.4671,
      0.4147,
      0.3387,
      0.4092,
      0.5277,
      0.5864,
      0.4201,
      0.5541,
      0.407,
      0.406,
      0.5373,
      0.6199,
      0.4714,
      0.484,
      0.4261,
      0.4409,
      0.4763,
      0.4695,
      0.3657,
      0.4558,
      0.4056,
      0.5678,
      0.5029,
      0.4699,
      0.613,
      0.5911,
      0.5883,
      0.3936,
      0.5749,
      0.5962,
      0.6489,
      0.6172,
      0.5409,
      0.6444,
      0.5084,
      0.591,
      0.6078,
      0.5304,
      0.5739,
      0.6836,
      0.4565,
      0.6564,
      0.5471,
      0.6084,
      0.6196,
      0.6285,
      0.523,
      0.6151,
      0.5648,
      0.5127,
      0.6461,
      0.6276,
      0.5135,
      0.5972,
      0.5428,
      0.6059,
      0.4202,
      0.5033,
      0.7394,
      0.6139,
      0.5414,
      0.4446,
      0.3959,
      0.3899,
      0.3781,
      0.4956,
      0.5794,
      0.3874,
      0.529,
      0.4173,
      0.5134,
      0.4295,
      0.5324,
      0.4893,
      0.4315,
      0.6067,
      0.2702,
      0.0612,
      0,
      0,
      0,
      0,
      0.3944,
      0.3755,
      0.4649,
      0.2584,
      0.3667,
      0.2569,
      0.3801,
      0.2754,
      0.325,
      0.2881,
      0.2663,
      0.3092,
      0.3109,
      0.2632,
      0.3496,
      0.3113,
      0.525,
      0.7151,
      0.6869,
      0.7009,
      0.4343,
      0.3888,
      0.4313,
      0.4501,
      0.5343,
      0.5293,
      0.5525,
      0.4913,
      0.609,
      0.4043,
      0.4947,
      0.4312,
      0.4435,
      0.6657,
      0.387,
      0.3718,
      0.4859,
      0.5621,
      0.5815,
      0.5882,
      0.4055,
      0.5159,
      0.4653,
      0.571,
      0.4837,
      0.4518,
      0.4974,
      0.4931,
      0.5744,
      0.4708,
      0.6744,
      0.5819,
      0.562,
      0.6268,
      0.4631,
      0.5198,
      0.4591,
      0.6039,
      0.5084,
      0.4463,
      0.5806,
      0.6016,
      0.6056,
      0.6899,
      0.4637,
      0.5706,
      0.54,
      0.4301,
      0.5102,
      0.4637,
      0.404,
      0.4586,
      0.4903,
      0.5334,
      0.6376,
      0.6504,
      0.6088,
      0.5574,
      0.5319,
      0.7147,
      0.5337,
      0.5202,
      0.6766,
      0.6108,
      0.5264,
      0.5223,
      0.4712,
      0.5422,
      0.67,
      0.6203,
      0.6203,
      0.617,
      0.5573,
      0.5082,
      0.6225,
      0.6686,
      0.6439,
      0.6083,
      0.5596,
      0.5798,
      0.552,
      0.6086,
      0.6003,
      0.5407,
      0.5849,
      0.5209,
      0.5879,
      0.6913,
      0.5735,
      0.6058,
      0.5604,
      0.4766,
      0.5364,
      0.6041,
      0.5391,
      0.5417,
      0.4541,
      0.5213,
      0.4321,
      0.4397,
      0.386,
      0.477,
      0.556,
      0.444,
      0.4947,
      0.5999,
      0.6662,
      0.5082,
      0.4685,
      0.4387,
      0.4642,
      0.4975,
      0.5876,
      0.5054,
      0.5269,
      0.5887,
      0.58,
      0.582,
      0.4788,
      0.598,
      0.4812,
      0.5483,
      0.5761,
      0.5004,
      0.545,
      0.4545,
      0.6499,
      0.4486,
      0.5718,
      0.5491,
      0.6307,
      0.5303,
      0.4413,
      0.3455,
      0.395,
      0.4483,
      0.52,
      0.4497,
      0.6566,
      0.4153,
      0.4555,
      0.4088,
      0.5488,
      0.6206,
      0.5378,
      0.5839,
      0.5892,
      0.51,
      0.4072,
      0.3928,
      0.4645,
      0.535,
      0.5645,
      0.528,
      0.6486,
      0.5034,
      0.4107,
      0.5385,
      0.4781,
      0.544,
      0.6574,
      0.6145,
      0.5582,
      0.5114,
      0.5193,
      0.5922,
      0.6674,
      0.6638,
      0.5944,
      0.6186,
      0.5595,
      0.5683,
      0.554,
      0.67,
      0.587,
      0.6043,
      0.5442,
      0.5832,
      0.5212,
      0.5909,
      0.5943,
      0.4781,
      0.5706,
      0.5804,
      0.5514,
      0.6746,
      0.6005,
      0.5979,
      0.5772,
      0.4679,
      0.6348,
      0.5665,
      0.5264,
      0.4525,
      0.3468,
      0.4012,
      0.3743,
      0.3519,
      0.314,
      0.4512,
      0.356,
      0.3829,
      0.4728,
      0.6457,
      0.4399,
      0.5348,
      0.3523,
      0.4663,
      0.3943,
      0.656,
      0.4664,
      0.5415,
      0.4274,
      0.5138,
      0.5579,
      0.5965,
      0.3803,
      0.5386,
      0.4251,
      0.6043,
      0.5427,
      0.5172,
      0.5882,
      0.5779,
      0.5877,
      0.4525,
      0.6207,
      0.5801,
      0.5211,
      0.621,
      0.4558,
      0.6266,
      0.6106,
      0.5551,
      0.6626,
      0.5661,
      0.5423,
      0.6257,
      0.4861,
      0.5986,
      0.4924,
      0.5869,
      0.5735,
      0.5253,
      0.5315,
      0.6013,
      0.481,
      0.4617,
      0.6775,
      0.7273,
      0.5445,
      0.6142,
      0.5816,
      0.4787,
      0.3668,
      0.5287,
      0.6623,
      0.5769,
      0.5731,
      0.4125,
      0.4371,
      0.4411,
      0.5142,
      0.589,
      0.6264,
      0.4232,
      0.5881,
      0.4349,
      0.5231,
      0.4672,
      0.6297,
      0.491,
      0.4609,
      0.5499,
      0.3315,
      0.0874,
      0,
      0,
      0,
      0,
      0.4697,
      0.4089,
      0.4633,
      0.3327,
      0.4312,
      0.299,
      0.3586,
      0.2645,
      0.389,
      0.139,
      0.2014,
      0.1411,
      0.2054,
      0.2579,
      0.2094,
      0.2188,
      0.5141,
      0.7241,
      0.564,
      0.446,
      0.4039,
      0.5716,
      0.5945,
      0.4571,
      0.6154,
      0.592,
      0.5951,
      0.4422,
      0.6682,
      0.3966,
      0.581,
      0.5258,
      0.4394,
      0.64,
      0.5862,
      0.4603,
      0.5034,
      0.4976,
      0.5931,
      0.3729,
      0.3912,
      0.4538,
      0.5371,
      0.4873,
      0.447,
      0.5424,
      0.5903,
      0.4834,
      0.5458,
      0.5149,
      0.4777,
      0.539,
      0.4782,
      0.5599,
      0.4074,
      0.3759,
      0.5469,
      0.5948,
      0.4605,
      0.4523,
      0.5373,
      0.6061,
      0.562,
      0.6287,
      0.6668,
      0.5071,
      0.5314,
      0.5857,
      0.4838,
      0.4144,
      0.4786,
      0.3282,
      0.3849,
      0.4979,
      0.6096,
      0.5666,
      0.5066,
      0.4932,
      0.5251,
      0.7078,
      0.5805,
      0.5792,
      0.5466,
      0.7147,
      0.5327,
      0.5718,
      0.4284,
      0.4681,
      0.6244,
      0.5912,
      0.5563,
      0.6631,
      0.4948,
      0.5559,
      0.5257,
      0.5824,
      0.7053,
      0.6523,
      0.5597,
      0.6772,
      0.621,
      0.5826,
      0.621,
      0.5012,
      0.6059,
      0.6578,
      0.574,
      0.7349,
      0.5387,
      0.5541,
      0.6123,
      0.5484,
      0.5353,
      0.6007,
      0.5341,
      0.4099,
      0.4058,
      0.5484,
      0.606,
      0.4498,
      0.4847,
      0.3811,
      0.5578,
      0.5901,
      0.6225,
      0.6444,
      0.6541,
      0.4059,
      0.504,
      0.5495,
      0.4803,
      0.4476,
      0.6895,
      0.605,
      0.4992,
      0.501,
      0.5268,
      0.6184,
      0.6162,
      0.5427,
      0.5936,
      0.6695,
      0.5759,
      0.4751,
      0.5497,
      0.4568,
      0.6328,
      0.5314,
      0.5315,
      0.478,
      0.5722,
      0.5458,
      0.4804,
      0.3892,
      0.5183,
      0.4883,
      0.5042,
      0.4988,
      0.5586,
      0.4398,
      0.6428,
      0.5381,
      0.4452,
      0.6046,
      0.4259,
      0.4235,
      0.6605,
      0.4434,
      0.4473,
      0.4122,
      0.3872,
      0.5226,
      0.6573,
      0.4735,
      0.4649,
      0.6131,
      0.4669,
      0.5849,
      0.5974,
      0.586,
      0.6141,
      0.7248,
      0.5413,
      0.5858,
      0.449,
      0.5542,
      0.6259,
      0.6176,
      0.5246,
      0.7087,
      0.4728,
      0.5914,
      0.4365,
      0.594,
      0.6798,
      0.6194,
      0.5366,
      0.6783,
      0.5975,
      0.5579,
      0.6115,
      0.4899,
      0.5384,
      0.5896,
      0.6273,
      0.6958,
      0.5397,
      0.5632,
      0.5993,
      0.5378,
      0.6006,
      0.5808,
      0.5167,
      0.3946,
      0.4003,
      0.421,
      0.4236,
      0.2964,
      0.3596,
      0.4458,
      0.4732,
      0.3948,
      0.4233,
      0.5476,
      0.4594,
      0.4546,
      0.3401,
      0.4493,
      0.2991,
      0.4905,
      0.4366,
      0.3738,
      0.4977,
      0.481,
      0.4752,
      0.5301,
      0.4144,
      0.504,
      0.4443,
      0.5687,
      0.5719,
      0.5204,
      0.5054,
      0.4159,
      0.5536,
      0.5045,
      0.6937,
      0.5318,
      0.5285,
      0.5934,
      0.4988,
      0.5459,
      0.647,
      0.579,
      0.6916,
      0.5617,
      0.5788,
      0.6943,
      0.5728,
      0.5856,
      0.497,
      0.6226,
      0.5565,
      0.5113,
      0.5005,
      0.6126,
      0.492,
      0.5058,
      0.613,
      0.6027,
      0.6574,
      0.6609,
      0.5787,
      0.5128,
      0.4496,
      0.569,
      0.7359,
      0.6327,
      0.5401,
      0.4122,
      0.3724,
      0.4404,
      0.4323,
      0.4877,
      0.55,
      0.3914,
      0.5692,
      0.4354,
      0.558,
      0.4491,
      0.5935,
      0.5408,
      0.404,
      0.5746,
      0.3619,
      0.0381,
      0,
      0,
      0,
      0,
      0.5347,
      0.5115,
      0.4088,
      0.377,
      0.4324,
      0.4007,
      0.3676,
      0.368,
      0.3198,
      0.2311,
      0.2524,
      0.2612,
      0.2334,
      0.1895,
      0.2411,
      0.2667,
      0.5804,
      0.6281,
      0.5154,
      0.5841,
      0.5512,
      0.7751,
      0.5702,
      0.6497,
      0.6282,
      0.4734,
      0.5599,
      0.4314,
      0.6505,
      0.4519,
      0.6224,
      0.4605,
      0.4517,
      0.5397,
      0.5299,
      0.4852,
      0.4984,
      0.5834,
      0.6169,
      0.5687,
      0.6316,
      0.3982,
      0.4862,
      0.4696,
      0.463,
      0.4254,
      0.6886,
      0.5387,
      0.5619,
      0.5037,
      0.5767,
      0.5023,
      0.5422,
      0.5071,
      0.4886,
      0.4689,
      0.5038,
      0.6688,
      0.3369,
      0.347,
      0.5161,
      0.6259,
      0.5857,
      0.5219,
      0.6691,
      0.5301,
      0.5005,
      0.5262,
      0.4881,
      0.548,
      0.5761,
      0.4503,
      0.4368,
      0.6466,
      0.5257,
      0.5179,
      0.4918,
      0.5998,
      0.5358,
      0.7193,
      0.5566,
      0.5044,
      0.5006,
      0.7396,
      0.4899,
      0.525,
      0.4988,
      0.6068,
      0.5899,
      0.6591,
      0.4017,
      0.6755,
      0.5024,
      0.4983,
      0.5306,
      0.6265,
      0.6504,
      0.573,
      0.5631,
      0.6757,
      0.5842,
      0.5756,
      0.5266,
      0.5246,
      0.5711,
      0.6037,
      0.6543,
      0.7456,
      0.4893,
      0.5243,
      0.6881,
      0.4842,
      0.6416,
      0.5472,
      0.5765,
      0.4884,
      0.5395,
      0.4922,
      0.5598,
      0.5753,
      0.4131,
      0.4229,
      0.6309,
      0.4751,
      0.6244,
      0.5165,
      0.6563,
      0.4749,
      0.5047,
      0.5004,
      0.4082,
      0.5739,
      0.639,
      0.5171,
      0.5217,
      0.5046,
      0.6373,
      0.5501,
      0.6305,
      0.4692,
      0.616,
      0.6035,
      0.5501,
      0.4793,
      0.5969,
      0.5007,
      0.5435,
      0.4932,
      0.5898,
      0.4763,
      0.6013,
      0.59,
      0.422,
      0.4098,
      0.5879,
      0.6351,
      0.4054,
      0.556,
      0.5566,
      0.5197,
      0.4877,
      0.6283,
      0.4195,
      0.5979,
      0.4633,
      0.5342,
      0.5002,
      0.5468,
      0.6324,
      0.4002,
      0.3758,
      0.644,
      0.5831,
      0.5341,
      0.4631,
      0.5444,
      0.4794,
      0.5428,
      0.545,
      0.5331,
      0.521,
      0.7251,
      0.4903,
      0.5396,
      0.5069,
      0.6745,
      0.5797,
      0.6233,
      0.4232,
      0.6949,
      0.4997,
      0.5631,
      0.5513,
      0.607,
      0.6089,
      0.5641,
      0.5308,
      0.6746,
      0.584,
      0.5569,
      0.5233,
      0.4691,
      0.5965,
      0.6415,
      0.6986,
      0.7389,
      0.4378,
      0.536,
      0.6072,
      0.4849,
      0.6065,
      0.5619,
      0.5826,
      0.3798,
      0.5379,
      0.4297,
      0.4894,
      0.5144,
      0.5003,
      0.4394,
      0.3912,
      0.3599,
      0.4011,
      0.602,
      0.482,
      0.4811,
      0.4276,
      0.3548,
      0.2232,
      0.4908,
      0.5051,
      0.4021,
      0.4981,
      0.5111,
      0.5852,
      0.569,
      0.5872,
      0.5702,
      0.4659,
      0.4607,
      0.5494,
      0.502,
      0.5477,
      0.5545,
      0.5927,
      0.559,
      0.6839,
      0.5697,
      0.5581,
      0.5175,
      0.486,
      0.6079,
      0.6034,
      0.6465,
      0.681,
      0.4801,
      0.546,
      0.6892,
      0.5467,
      0.5808,
      0.463,
      0.5786,
      0.686,
      0.5573,
      0.5298,
      0.6617,
      0.5634,
      0.4512,
      0.5708,
      0.6812,
      0.6661,
      0.5317,
      0.5509,
      0.5397,
      0.4365,
      0.4848,
      0.6864,
      0.6002,
      0.5776,
      0.4622,
      0.4166,
      0.4808,
      0.4681,
      0.6229,
      0.6272,
      0.6024,
      0.5179,
      0.358,
      0.4294,
      0.366,
      0.579,
      0.5214,
      0.5052,
      0.6028,
      0.3192,
      0.1102,
      0,
      0,
      0,
      0,
      0.4898,
      0.4292,
      0.3974,
      0.2353,
      0.3165,
      0.2296,
      0.2319,
      0.3952,
      0.3027,
      0.2967,
      0.2656,
      0.3577,
      0.2735,
      0.2875,
      0.3758,
      0.3137,
      0.5165,
      0.4599,
      0.4725,
      0.5422,
      0.2647,
      0.5049,
      0.4354,
      0.4853,
      0.5605,
      0.4667,
      0.5262,
      0.4744,
      0.6872,
      0.4482,
      0.4562,
      0.4222,
      0.3343,
      0.4608,
      0.393,
      0.5406,
      0.41,
      0.5763,
      0.4742,
      0.5361,
      0.4134,
      0.442,
      0.4572,
      0.5624,
      0.51,
      0.35,
      0.569,
      0.4353,
      0.5607,
      0.4741,
      0.5795,
      0.4748,
      0.5311,
      0.5198,
      0.4908,
      0.3605,
      0.3649,
      0.5333,
      0.3719,
      0.4055,
      0.5221,
      0.5891,
      0.6564,
      0.5086,
      0.4743,
      0.4967,
      0.4474,
      0.3955,
      0.4301,
      0.4851,
      0.4088,
      0.3947,
      0.4158,
      0.5648,
      0.5127,
      0.5115,
      0.5235,
      0.5781,
      0.498,
      0.4596,
      0.5238,
      0.5175,
      0.5643,
      0.5884,
      0.5202,
      0.4597,
      0.4971,
      0.4654,
      0.6187,
      0.4946,
      0.4689,
      0.524,
      0.5186,
      0.5688,
      0.5988,
      0.6843,
      0.6677,
      0.516,
      0.4842,
      0.6159,
      0.5166,
      0.5204,
      0.5147,
      0.4887,
      0.5747,
      0.5227,
      0.5863,
      0.6323,
      0.4374,
      0.5458,
      0.5644,
      0.4956,
      0.6023,
      0.3634,
      0.5968,
      0.4578,
      0.3447,
      0.3729,
      0.6078,
      0.4223,
      0.4089,
      0.3845,
      0.4727,
      0.447,
      0.6165,
      0.5177,
      0.6378,
      0.5003,
      0.4446,
      0.5678,
      0.311,
      0.5334,
      0.4535,
      0.3773,
      0.5287,
      0.5036,
      0.5082,
      0.5277,
      0.3985,
      0.3979,
      0.4508,
      0.431,
      0.5652,
      0.4696,
      0.4932,
      0.485,
      0.5731,
      0.4483,
      0.6111,
      0.4183,
      0.5372,
      0.5605,
      0.4105,
      0.3868,
      0.5737,
      0.3841,
      0.3864,
      0.5102,
      0.5495,
      0.5005,
      0.4025,
      0.6284,
      0.4242,
      0.6076,
      0.462,
      0.384,
      0.4104,
      0.4227,
      0.4227,
      0.3591,
      0.405,
      0.504,
      0.5526,
      0.4565,
      0.4429,
      0.433,
      0.3903,
      0.4142,
      0.615,
      0.5094,
      0.5045,
      0.5488,
      0.5171,
      0.4408,
      0.5081,
      0.6096,
      0.5999,
      0.5856,
      0.4934,
      0.5959,
      0.5366,
      0.6167,
      0.5658,
      0.6703,
      0.63,
      0.4934,
      0.4593,
      0.6164,
      0.5211,
      0.4598,
      0.4879,
      0.5081,
      0.5317,
      0.5167,
      0.5943,
      0.6039,
      0.5077,
      0.5206,
      0.5129,
      0.4826,
      0.6108,
      0.4571,
      0.5764,
      0.2715,
      0.2713,
      0.2916,
      0.3637,
      0.3369,
      0.394,
      0.4474,
      0.3574,
      0.3845,
      0.4574,
      0.5644,
      0.4776,
      0.4954,
      0.3123,
      0.3999,
      0.3561,
      0.4668,
      0.4941,
      0.2691,
      0.4272,
      0.4515,
      0.5286,
      0.5119,
      0.5025,
      0.491,
      0.4862,
      0.5426,
      0.5314,
      0.3939,
      0.5561,
      0.5307,
      0.5455,
      0.5187,
      0.6173,
      0.5301,
      0.4659,
      0.4715,
      0.4683,
      0.5891,
      0.4963,
      0.6057,
      0.5793,
      0.4807,
      0.5302,
      0.6146,
      0.4048,
      0.6032,
      0.3787,
      0.5548,
      0.617,
      0.5884,
      0.5356,
      0.6252,
      0.4676,
      0.5012,
      0.5572,
      0.5777,
      0.585,
      0.584,
      0.534,
      0.5028,
      0.3597,
      0.499,
      0.6885,
      0.6033,
      0.5109,
      0.4164,
      0.4038,
      0.4392,
      0.4564,
      0.5291,
      0.553,
      0.5097,
      0.4755,
      0.3773,
      0.3864,
      0.4237,
      0.5705,
      0.5466,
      0.5106,
      0.5435,
      0.2441,
      0.084,
      0,
      0,
      0,
      0,
      0.4447,
      0.4007,
      0.3673,
      0.2919,
      0.4005,
      0.2244,
      0.1499,
      0.2497,
      0.3668,
      0.2384,
      0.2514,
      0.2136,
      0.2391,
      0.1977,
      0.4311,
      0.2946,
      0.542,
      0.4539,
      0.3405,
      0.4776,
      0.424,
      0.4901,
      0.395,
      0.422,
      0.508,
      0.4898,
      0.5341,
      0.4836,
      0.662,
      0.4721,
      0.4782,
      0.4262,
      0.4409,
      0.4711,
      0.436,
      0.532,
      0.4586,
      0.5253,
      0.4992,
      0.5347,
      0.4855,
      0.4964,
      0.5436,
      0.4485,
      0.4503,
      0.4361,
      0.4962,
      0.5286,
      0.5264,
      0.4311,
      0.5753,
      0.5022,
      0.5115,
      0.5384,
      0.4949,
      0.4685,
      0.4063,
      0.3968,
      0.3633,
      0.3746,
      0.5091,
      0.5869,
      0.5757,
      0.5197,
      0.4498,
      0.5397,
      0.408,
      0.3234,
      0.4359,
      0.5091,
      0.4118,
      0.3465,
      0.3943,
      0.5043,
      0.5066,
      0.4594,
      0.5583,
      0.5219,
      0.5267,
      0.5101,
      0.5099,
      0.523,
      0.5063,
      0.6077,
      0.542,
      0.5166,
      0.4427,
      0.5362,
      0.614,
      0.6251,
      0.4639,
      0.4852,
      0.4981,
      0.516,
      0.5507,
      0.6898,
      0.5622,
      0.6622,
      0.4844,
      0.6271,
      0.5712,
      0.5141,
      0.5679,
      0.5005,
      0.4596,
      0.5086,
      0.5092,
      0.6278,
      0.562,
      0.5392,
      0.6269,
      0.5099,
      0.5567,
      0.5704,
      0.5733,
      0.5264,
      0.299,
      0.3826,
      0.6402,
      0.3922,
      0.3437,
      0.3793,
      0.422,
      0.4468,
      0.635,
      0.5635,
      0.6438,
      0.4773,
      0.4896,
      0.5345,
      0.3124,
      0.5013,
      0.4307,
      0.3137,
      0.4549,
      0.4965,
      0.5065,
      0.5356,
      0.4876,
      0.4883,
      0.4524,
      0.44,
      0.5226,
      0.4786,
      0.5119,
      0.4381,
      0.5696,
      0.3461,
      0.6162,
      0.4522,
      0.5334,
      0.5895,
      0.4616,
      0.3904,
      0.5551,
      0.4376,
      0.4521,
      0.4367,
      0.548,
      0.481,
      0.4178,
      0.4947,
      0.4956,
      0.5634,
      0.4795,
      0.411,
      0.4503,
      0.4071,
      0.3922,
      0.3427,
      0.3671,
      0.4072,
      0.5713,
      0.5281,
      0.4798,
      0.5083,
      0.4812,
      0.5052,
      0.5437,
      0.5037,
      0.4745,
      0.6068,
      0.5495,
      0.5572,
      0.4698,
      0.6118,
      0.6278,
      0.6443,
      0.4393,
      0.4575,
      0.5319,
      0.5482,
      0.5597,
      0.6828,
      0.5548,
      0.6364,
      0.4323,
      0.6434,
      0.5735,
      0.5421,
      0.5547,
      0.5157,
      0.5354,
      0.5541,
      0.5742,
      0.6143,
      0.5456,
      0.5285,
      0.6002,
      0.4898,
      0.6471,
      0.5511,
      0.5381,
      0.4174,
      0.2229,
      0.3295,
      0.3393,
      0.2416,
      0.2501,
      0.4173,
      0.3112,
      0.2733,
      0.4017,
      0.5398,
      0.3383,
      0.4885,
      0.3436,
      0.4462,
      0.464,
      0.4718,
      0.4862,
      0.3168,
      0.4438,
      0.4759,
      0.5188,
      0.5279,
      0.5152,
      0.5098,
      0.4213,
      0.5528,
      0.4851,
      0.4446,
      0.5483,
      0.5007,
      0.5696,
      0.3948,
      0.6462,
      0.5823,
      0.5312,
      0.5771,
      0.4693,
      0.5376,
      0.4915,
      0.5071,
      0.566,
      0.5037,
      0.5205,
      0.6497,
      0.4251,
      0.5983,
      0.4345,
      0.5697,
      0.6546,
      0.5598,
      0.4908,
      0.6198,
      0.5221,
      0.5427,
      0.6921,
      0.6323,
      0.631,
      0.5842,
      0.5189,
      0.5514,
      0.4938,
      0.5033,
      0.6931,
      0.5513,
      0.5256,
      0.413,
      0.3976,
      0.4174,
      0.4725,
      0.5774,
      0.6146,
      0.5124,
      0.4789,
      0.4396,
      0.5091,
      0.3672,
      0.6066,
      0.4948,
      0.4488,
      0.5739,
      0.3188,
      0.0864,
      0,
      0,
      0,
      0,
      0.3742,
      0.3991,
      0.3842,
      0.3253,
      0.3229,
      0.1325,
      0.2268,
      0.2148,
      0.269,
      0.3532,
      0.3937,
      0.321,
      0.3225,
      0.2841,
      0.4733,
      0.3605,
      0.5181,
      0.4098,
      0.3825,
      0.3759,
      0.3894,
      0.5159,
      0.3942,
      0.4041,
      0.5599,
      0.5426,
      0.5668,
      0.4477,
      0.6546,
      0.4281,
      0.4656,
      0.3981,
      0.3805,
      0.4982,
      0.4387,
      0.3994,
      0.4651,
      0.5331,
      0.5386,
      0.5796,
      0.4043,
      0.3823,
      0.5602,
      0.4714,
      0.4705,
      0.4115,
      0.5917,
      0.5297,
      0.5917,
      0.4439,
      0.5431,
      0.4911,
      0.556,
      0.5418,
      0.5551,
      0.5097,
      0.4439,
      0.4711,
      0.4476,
      0.4505,
      0.6153,
      0.6466,
      0.5173,
      0.4983,
      0.3768,
      0.5739,
      0.4311,
      0.3742,
      0.472,
      0.5019,
      0.482,
      0.3707,
      0.5106,
      0.4975,
      0.5395,
      0.4732,
      0.651,
      0.3805,
      0.5486,
      0.4791,
      0.4933,
      0.5152,
      0.6118,
      0.5475,
      0.5581,
      0.5071,
      0.5004,
      0.5382,
      0.5937,
      0.6429,
      0.564,
      0.458,
      0.5347,
      0.6065,
      0.5324,
      0.7051,
      0.5508,
      0.7271,
      0.4967,
      0.5334,
      0.5808,
      0.6245,
      0.5827,
      0.5729,
      0.5306,
      0.5445,
      0.6399,
      0.5647,
      0.5071,
      0.6062,
      0.6319,
      0.4569,
      0.6381,
      0.4823,
      0.4107,
      0.5655,
      0.3779,
      0.4109,
      0.5889,
      0.4829,
      0.3371,
      0.454,
      0.5128,
      0.5053,
      0.5414,
      0.4804,
      0.6798,
      0.449,
      0.4734,
      0.4002,
      0.3218,
      0.4939,
      0.4271,
      0.3488,
      0.5659,
      0.5502,
      0.5513,
      0.5793,
      0.3295,
      0.488,
      0.4876,
      0.4831,
      0.4664,
      0.3948,
      0.6019,
      0.5055,
      0.6543,
      0.395,
      0.4673,
      0.5063,
      0.5755,
      0.6074,
      0.4848,
      0.3309,
      0.4887,
      0.3635,
      0.4544,
      0.4034,
      0.5353,
      0.5275,
      0.4684,
      0.4751,
      0.5845,
      0.561,
      0.4805,
      0.4147,
      0.4459,
      0.4344,
      0.4852,
      0.3365,
      0.4492,
      0.5097,
      0.6108,
      0.3441,
      0.4387,
      0.4851,
      0.3984,
      0.4777,
      0.4417,
      0.4639,
      0.5987,
      0.5689,
      0.5525,
      0.5421,
      0.501,
      0.634,
      0.5989,
      0.6105,
      0.5439,
      0.4756,
      0.532,
      0.6385,
      0.4826,
      0.6728,
      0.5959,
      0.6949,
      0.4835,
      0.5449,
      0.58,
      0.5857,
      0.5778,
      0.5332,
      0.5396,
      0.5664,
      0.6954,
      0.4632,
      0.5234,
      0.5938,
      0.5991,
      0.4305,
      0.6426,
      0.4874,
      0.4516,
      0.333,
      0.261,
      0.3393,
      0.2893,
      0.2578,
      0.3912,
      0.4419,
      0.4394,
      0.4183,
      0.4,
      0.5887,
      0.4327,
      0.4817,
      0.349,
      0.383,
      0.4103,
      0.4708,
      0.4535,
      0.3772,
      0.5106,
      0.4568,
      0.5198,
      0.5815,
      0.4823,
      0.4896,
      0.4823,
      0.4371,
      0.4954,
      0.4434,
      0.6309,
      0.5644,
      0.6591,
      0.4537,
      0.5364,
      0.5364,
      0.5624,
      0.5378,
      0.549,
      0.575,
      0.5075,
      0.6515,
      0.541,
      0.5272,
      0.5978,
      0.6422,
      0.4667,
      0.6329,
      0.3948,
      0.5404,
      0.551,
      0.5931,
      0.564,
      0.6687,
      0.5145,
      0.4892,
      0.5814,
      0.6005,
      0.5765,
      0.5845,
      0.5452,
      0.5458,
      0.4089,
      0.5323,
      0.6612,
      0.6457,
      0.5965,
      0.4586,
      0.3789,
      0.4642,
      0.4393,
      0.5794,
      0.6303,
      0.4869,
      0.484,
      0.4432,
      0.4872,
      0.3481,
      0.5806,
      0.4751,
      0.5272,
      0.57,
      0.4254,
      0.2005,
      0,
      0,
      0,
      0,
      0.3545,
      0.3901,
      0.3664,
      0.3015,
      0.3316,
      0.2087,
      0.293,
      0.2335,
      0.2976,
      0.5155,
      0.4266,
      0.4645,
      0.4681,
      0.4647,
      0.3972,
      0.3943,
      0.5344,
      0.5615,
      0.4024,
      0.4413,
      0.4904,
      0.4769,
      0.4945,
      0.4683,
      0.4489,
      0.5478,
      0.5156,
      0.5144,
      0.6755,
      0.4358,
      0.486,
      0.439,
      0.3766,
      0.5836,
      0.4678,
      0.4031,
      0.4688,
      0.522,
      0.5577,
      0.5546,
      0.3684,
      0.4631,
      0.6169,
      0.4385,
      0.5849,
      0.4445,
      0.5266,
      0.5826,
      0.5766,
      0.4212,
      0.5783,
      0.5461,
      0.6008,
      0.5301,
      0.5468,
      0.5243,
      0.5364,
      0.5021,
      0.4867,
      0.4242,
      0.6095,
      0.6386,
      0.4785,
      0.458,
      0.4338,
      0.5764,
      0.546,
      0.4294,
      0.4383,
      0.5125,
      0.4833,
      0.425,
      0.5467,
      0.394,
      0.5732,
      0.4898,
      0.6078,
      0.4619,
      0.4865,
      0.4924,
      0.5308,
      0.44,
      0.6346,
      0.5806,
      0.6464,
      0.56,
      0.5404,
      0.5695,
      0.5941,
      0.5968,
      0.4166,
      0.5373,
      0.4719,
      0.5703,
      0.6146,
      0.6726,
      0.6369,
      0.6658,
      0.4912,
      0.6004,
      0.5417,
      0.6268,
      0.6024,
      0.5442,
      0.6039,
      0.6232,
      0.6005,
      0.5334,
      0.5275,
      0.6435,
      0.7057,
      0.4763,
      0.5791,
      0.6211,
      0.5783,
      0.5286,
      0.3767,
      0.4866,
      0.5989,
      0.4863,
      0.4755,
      0.4471,
      0.369,
      0.5224,
      0.5017,
      0.5041,
      0.6499,
      0.5296,
      0.4946,
      0.4555,
      0.4034,
      0.569,
      0.5161,
      0.3843,
      0.4951,
      0.5564,
      0.548,
      0.554,
      0.3686,
      0.5175,
      0.4721,
      0.417,
      0.5686,
      0.4242,
      0.5694,
      0.6179,
      0.6122,
      0.3523,
      0.6242,
      0.5263,
      0.6223,
      0.6198,
      0.587,
      0.4705,
      0.5348,
      0.4696,
      0.443,
      0.3893,
      0.6,
      0.5001,
      0.4681,
      0.4452,
      0.552,
      0.556,
      0.5306,
      0.5759,
      0.444,
      0.4916,
      0.4649,
      0.4657,
      0.4585,
      0.4773,
      0.6131,
      0.4062,
      0.4836,
      0.4406,
      0.4274,
      0.4519,
      0.4951,
      0.4303,
      0.6228,
      0.6047,
      0.6386,
      0.5864,
      0.538,
      0.5514,
      0.57,
      0.4996,
      0.4607,
      0.5505,
      0.5415,
      0.5795,
      0.5669,
      0.6803,
      0.5704,
      0.6446,
      0.4665,
      0.606,
      0.5727,
      0.6397,
      0.6058,
      0.6349,
      0.588,
      0.6369,
      0.6653,
      0.5479,
      0.532,
      0.642,
      0.5989,
      0.5098,
      0.5923,
      0.6254,
      0.5961,
      0.3015,
      0.2712,
      0.3432,
      0.2294,
      0.2677,
      0.4568,
      0.4218,
      0.3148,
      0.4873,
      0.4873,
      0.5212,
      0.4169,
      0.4387,
      0.3832,
      0.4452,
      0.4048,
      0.5761,
      0.455,
      0.4586,
      0.4616,
      0.5665,
      0.5333,
      0.5634,
      0.3831,
      0.4488,
      0.4535,
      0.4699,
      0.4545,
      0.4225,
      0.5764,
      0.5784,
      0.5948,
      0.4067,
      0.6233,
      0.5556,
      0.6404,
      0.5727,
      0.6099,
      0.5909,
      0.5101,
      0.6195,
      0.4508,
      0.5391,
      0.668,
      0.6016,
      0.525,
      0.5614,
      0.5446,
      0.5331,
      0.5836,
      0.5799,
      0.4617,
      0.6985,
      0.5292,
      0.5284,
      0.6636,
      0.7,
      0.6232,
      0.6318,
      0.5756,
      0.5418,
      0.4504,
      0.589,
      0.6849,
      0.5333,
      0.6505,
      0.5189,
      0.6114,
      0.4421,
      0.5716,
      0.5652,
      0.5754,
      0.4428,
      0.528,
      0.4367,
      0.4505,
      0.3563,
      0.452,
      0.4306,
      0.6317,
      0.5573,
      0.3402,
      0.0461,
      0,
      0,
      0,
      0,
      0.4826,
      0.4343,
      0.3846,
      0.3328,
      0.3629,
      0.267,
      0.2669,
      0.1994,
      0.316,
      0.4341,
      0.3361,
      0.3661,
      0.4073,
      0.3922,
      0.371,
      0.2722,
      0.4714,
      0.6478,
      0.6182,
      0.6446,
      0.4707,
      0.5997,
      0.4695,
      0.426,
      0.4618,
      0.4761,
      0.5,
      0.464,
      0.6086,
      0.3755,
      0.5434,
      0.3762,
      0.3997,
      0.5803,
      0.4868,
      0.4458,
      0.4158,
      0.5988,
      0.6085,
      0.5783,
      0.3917,
      0.4446,
      0.531,
      0.4544,
      0.6147,
      0.4097,
      0.5605,
      0.603,
      0.6052,
      0.427,
      0.627,
      0.588,
      0.5354,
      0.6645,
      0.5821,
      0.5988,
      0.5554,
      0.4457,
      0.4303,
      0.4187,
      0.5047,
      0.6308,
      0.4339,
      0.5922,
      0.4024,
      0.592,
      0.6244,
      0.4715,
      0.5301,
      0.4702,
      0.5924,
      0.5,
      0.4455,
      0.4531,
      0.5082,
      0.4826,
      0.4748,
      0.401,
      0.4761,
      0.5509,
      0.4647,
      0.4993,
      0.5642,
      0.542,
      0.6672,
      0.6096,
      0.5536,
      0.6156,
      0.6196,
      0.6157,
      0.6271,
      0.6089,
      0.4174,
      0.5963,
      0.6022,
      0.5927,
      0.6667,
      0.6749,
      0.5842,
      0.6163,
      0.5743,
      0.6368,
      0.6942,
      0.59,
      0.6912,
      0.7522,
      0.6906,
      0.5992,
      0.5136,
      0.6591,
      0.5692,
      0.4764,
      0.6118,
      0.5962,
      0.5758,
      0.5511,
      0.5179,
      0.6106,
      0.5961,
      0.5866,
      0.4924,
      0.458,
      0.5209,
      0.5159,
      0.5264,
      0.6046,
      0.7107,
      0.4868,
      0.5078,
      0.4183,
      0.4883,
      0.5826,
      0.4995,
      0.3904,
      0.5835,
      0.5029,
      0.5586,
      0.5668,
      0.4855,
      0.4766,
      0.5008,
      0.5729,
      0.5213,
      0.3549,
      0.5917,
      0.5932,
      0.6304,
      0.4305,
      0.6236,
      0.5769,
      0.6171,
      0.6784,
      0.616,
      0.5303,
      0.5599,
      0.4002,
      0.4854,
      0.4071,
      0.4749,
      0.449,
      0.4449,
      0.4754,
      0.4751,
      0.5803,
      0.5624,
      0.5234,
      0.4962,
      0.477,
      0.5757,
      0.4944,
      0.4551,
      0.4279,
      0.6325,
      0.3771,
      0.5706,
      0.4681,
      0.4335,
      0.5193,
      0.4397,
      0.4658,
      0.6136,
      0.5569,
      0.6325,
      0.6244,
      0.5694,
      0.5896,
      0.6232,
      0.6442,
      0.5996,
      0.594,
      0.478,
      0.6019,
      0.5678,
      0.56,
      0.6018,
      0.655,
      0.5461,
      0.6144,
      0.6044,
      0.6419,
      0.7162,
      0.652,
      0.6774,
      0.6791,
      0.7246,
      0.6152,
      0.4908,
      0.6578,
      0.5837,
      0.4898,
      0.6379,
      0.5994,
      0.5901,
      0.4195,
      0.284,
      0.3236,
      0.3183,
      0.3322,
      0.3699,
      0.4182,
      0.2971,
      0.423,
      0.4537,
      0.485,
      0.4365,
      0.4522,
      0.3105,
      0.4443,
      0.3174,
      0.5744,
      0.503,
      0.5365,
      0.4561,
      0.5215,
      0.5797,
      0.5913,
      0.468,
      0.4368,
      0.4127,
      0.4535,
      0.4933,
      0.3671,
      0.6257,
      0.5751,
      0.6273,
      0.3914,
      0.6352,
      0.6,
      0.6279,
      0.6941,
      0.6123,
      0.6757,
      0.6191,
      0.6277,
      0.5499,
      0.4804,
      0.6662,
      0.6482,
      0.4089,
      0.6349,
      0.575,
      0.488,
      0.6337,
      0.5505,
      0.5512,
      0.724,
      0.6005,
      0.5225,
      0.6904,
      0.7072,
      0.5322,
      0.6251,
      0.531,
      0.6269,
      0.5535,
      0.5906,
      0.6716,
      0.6077,
      0.6569,
      0.5406,
      0.6445,
      0.4115,
      0.5803,
      0.5669,
      0.6561,
      0.4619,
      0.5245,
      0.3739,
      0.5251,
      0.3106,
      0.4833,
      0.4303,
      0.5895,
      0.5768,
      0.2226,
      0.0662,
      0,
      0,
      0,
      0,
      0.3908,
      0.3528,
      0.4161,
      0.3136,
      0.3841,
      0.3603,
      0.3894,
      0.3241,
      0.4282,
      0.2797,
      0.2629,
      0.3006,
      0.2996,
      0.2124,
      0.2516,
      0.2865,
      0.5612,
      0.6436,
      0.4707,
      0.4713,
      0.3691,
      0.5404,
      0.6055,
      0.3496,
      0.5298,
      0.5178,
      0.4781,
      0.4529,
      0.6349,
      0.4097,
      0.5238,
      0.2833,
      0.4163,
      0.5885,
      0.5607,
      0.4128,
      0.4811,
      0.5848,
      0.5573,
      0.474,
      0.361,
      0.4374,
      0.3666,
      0.4103,
      0.6229,
      0.4625,
      0.5929,
      0.4539,
      0.5697,
      0.4669,
      0.5778,
      0.4474,
      0.5897,
      0.5025,
      0.5046,
      0.4681,
      0.4784,
      0.436,
      0.3695,
      0.3439,
      0.3944,
      0.616,
      0.5152,
      0.5923,
      0.5826,
      0.5422,
      0.5975,
      0.5047,
      0.5648,
      0.3851,
      0.3142,
      0.3558,
      0.3716,
      0.4574,
      0.4763,
      0.4201,
      0.4216,
      0.3814,
      0.4216,
      0.5112,
      0.4021,
      0.5176,
      0.5879,
      0.5311,
      0.4636,
      0.5292,
      0.4219,
      0.5106,
      0.5623,
      0.5701,
      0.5304,
      0.5315,
      0.5144,
      0.6123,
      0.5526,
      0.6498,
      0.6248,
      0.6283,
      0.5671,
      0.5255,
      0.5815,
      0.5672,
      0.6048,
      0.5196,
      0.5082,
      0.61,
      0.5569,
      0.556,
      0.5133,
      0.5153,
      0.6098,
      0.4672,
      0.5709,
      0.539,
      0.5046,
      0.4654,
      0.4393,
      0.4701,
      0.557,
      0.3692,
      0.4264,
      0.4122,
      0.5075,
      0.5041,
      0.5283,
      0.6894,
      0.7233,
      0.4143,
      0.4637,
      0.3908,
      0.4567,
      0.5008,
      0.5094,
      0.4233,
      0.5542,
      0.5371,
      0.4878,
      0.636,
      0.6734,
      0.4903,
      0.4068,
      0.6581,
      0.5181,
      0.3665,
      0.5927,
      0.3724,
      0.5994,
      0.414,
      0.5187,
      0.4246,
      0.5012,
      0.5937,
      0.5076,
      0.3211,
      0.4443,
      0.5075,
      0.3427,
      0.4506,
      0.4478,
      0.4125,
      0.5796,
      0.5307,
      0.421,
      0.5364,
      0.428,
      0.3927,
      0.5433,
      0.3972,
      0.4987,
      0.3347,
      0.3569,
      0.4981,
      0.5548,
      0.4869,
      0.3406,
      0.5109,
      0.4069,
      0.4567,
      0.2988,
      0.5198,
      0.5252,
      0.4799,
      0.4998,
      0.4834,
      0.3586,
      0.5182,
      0.5495,
      0.5873,
      0.5079,
      0.5484,
      0.5404,
      0.6334,
      0.6083,
      0.6686,
      0.6254,
      0.6378,
      0.5241,
      0.5086,
      0.5491,
      0.5961,
      0.5837,
      0.5568,
      0.4198,
      0.6086,
      0.6128,
      0.5684,
      0.5083,
      0.5528,
      0.6005,
      0.479,
      0.5607,
      0.4897,
      0.5477,
      0.4364,
      0.1777,
      0.2645,
      0.3838,
      0.2935,
      0.3196,
      0.4264,
      0.3736,
      0.3514,
      0.3827,
      0.4899,
      0.412,
      0.4742,
      0.2168,
      0.4705,
      0.3469,
      0.4413,
      0.4663,
      0.3443,
      0.5277,
      0.3536,
      0.5153,
      0.4839,
      0.3468,
      0.28,
      0.3364,
      0.4543,
      0.5367,
      0.3963,
      0.5788,
      0.4627,
      0.5924,
      0.4105,
      0.5349,
      0.5484,
      0.5707,
      0.5356,
      0.5446,
      0.5329,
      0.6045,
      0.5967,
      0.5031,
      0.5418,
      0.5272,
      0.6257,
      0.4305,
      0.5349,
      0.4517,
      0.5906,
      0.5896,
      0.5999,
      0.5518,
      0.6465,
      0.3841,
      0.4315,
      0.582,
      0.6331,
      0.6004,
      0.611,
      0.5239,
      0.5479,
      0.4156,
      0.4794,
      0.6449,
      0.5095,
      0.562,
      0.4806,
      0.2818,
      0.4655,
      0.4029,
      0.5198,
      0.5518,
      0.4156,
      0.4175,
      0.2455,
      0.3995,
      0.2641,
      0.3753,
      0.4275,
      0.4143,
      0.6284,
      0.2442,
      0,
      0,
      0,
      0,
      0,
      0.3092,
      0.3582,
      0.4133,
      0.3733,
      0.2795,
      0.2605,
      0.295,
      0.3916,
      0.3083,
      0.3244,
      0.2528,
      0.2898,
      0.2675,
      0.1863,
      0.3008,
      0.2651,
      0.524,
      0.4568,
      0.2969,
      0.483,
      0.3494,
      0.6786,
      0.5725,
      0.5234,
      0.5722,
      0.581,
      0.552,
      0.5333,
      0.6124,
      0.4857,
      0.5317,
      0.3252,
      0.3389,
      0.5304,
      0.4635,
      0.4117,
      0.4052,
      0.6042,
      0.4599,
      0.5273,
      0.4244,
      0.4037,
      0.4714,
      0.5378,
      0.5496,
      0.339,
      0.6323,
      0.4634,
      0.5243,
      0.4095,
      0.5936,
      0.4912,
      0.6354,
      0.5424,
      0.4714,
      0.4978,
      0.407,
      0.4527,
      0.3385,
      0.4148,
      0.3285,
      0.6375,
      0.498,
      0.4873,
      0.5789,
      0.5282,
      0.5042,
      0.4329,
      0.5374,
      0.437,
      0.4563,
      0.3848,
      0.3642,
      0.5347,
      0.3931,
      0.5073,
      0.4663,
      0.4014,
      0.4243,
      0.4649,
      0.4462,
      0.4049,
      0.6012,
      0.5448,
      0.443,
      0.4842,
      0.3593,
      0.4814,
      0.5447,
      0.5753,
      0.5112,
      0.4963,
      0.5001,
      0.5885,
      0.4755,
      0.6102,
      0.6514,
      0.6084,
      0.5097,
      0.5226,
      0.5146,
      0.5639,
      0.5899,
      0.5215,
      0.5231,
      0.5965,
      0.6287,
      0.4912,
      0.4751,
      0.5184,
      0.5885,
      0.2903,
      0.5822,
      0.5615,
      0.5463,
      0.4303,
      0.3461,
      0.3777,
      0.526,
      0.5018,
      0.4727,
      0.3668,
      0.5193,
      0.5605,
      0.4771,
      0.5332,
      0.6809,
      0.4233,
      0.4382,
      0.292,
      0.2765,
      0.4903,
      0.5503,
      0.4328,
      0.5143,
      0.4916,
      0.6121,
      0.5463,
      0.4116,
      0.3757,
      0.4606,
      0.6119,
      0.518,
      0.3467,
      0.5201,
      0.4171,
      0.581,
      0.4344,
      0.5715,
      0.4665,
      0.5277,
      0.6098,
      0.4828,
      0.3062,
      0.517,
      0.3934,
      0.3882,
      0.3539,
      0.3795,
      0.4853,
      0.4426,
      0.4942,
      0.3966,
      0.5572,
      0.4125,
      0.3315,
      0.379,
      0.3624,
      0.5387,
      0.404,
      0.4564,
      0.5526,
      0.557,
      0.4376,
      0.3519,
      0.4761,
      0.426,
      0.4514,
      0.3901,
      0.4234,
      0.5645,
      0.5489,
      0.4664,
      0.5031,
      0.3761,
      0.4712,
      0.571,
      0.6384,
      0.516,
      0.5613,
      0.5182,
      0.6077,
      0.6242,
      0.6275,
      0.6328,
      0.6032,
      0.4424,
      0.5332,
      0.5003,
      0.5492,
      0.5847,
      0.5331,
      0.4966,
      0.5852,
      0.664,
      0.5179,
      0.5022,
      0.5143,
      0.6113,
      0.3682,
      0.6177,
      0.559,
      0.5334,
      0.3964,
      0.2391,
      0.2994,
      0.3017,
      0.3219,
      0.4014,
      0.4302,
      0.4962,
      0.3044,
      0.3588,
      0.4931,
      0.3663,
      0.4737,
      0.2287,
      0.3959,
      0.4495,
      0.4704,
      0.3947,
      0.2234,
      0.4769,
      0.4416,
      0.4456,
      0.4913,
      0.4507,
      0.4446,
      0.375,
      0.3807,
      0.4695,
      0.4338,
      0.5513,
      0.4941,
      0.5817,
      0.434,
      0.5895,
      0.459,
      0.5103,
      0.5814,
      0.4911,
      0.5353,
      0.5009,
      0.6105,
      0.4915,
      0.5053,
      0.5544,
      0.6236,
      0.3501,
      0.6197,
      0.4669,
      0.5694,
      0.6325,
      0.5362,
      0.5095,
      0.5074,
      0.4018,
      0.5148,
      0.5119,
      0.5621,
      0.627,
      0.6335,
      0.5213,
      0.4972,
      0.4281,
      0.4422,
      0.5899,
      0.4004,
      0.548,
      0.4281,
      0.3321,
      0.4137,
      0.4695,
      0.4703,
      0.5557,
      0.4273,
      0.4381,
      0.3083,
      0.3723,
      0.3101,
      0.3539,
      0.4107,
      0.3658,
      0.5773,
      0.221,
      0,
      0,
      0,
      0,
      0,
      0.4015,
      0.312,
      0.4112,
      0.3518,
      0.3876,
      0.3209,
      0.3491,
      0.3494,
      0.3416,
      0.2302,
      0.2674,
      0.2631,
      0.3141,
      0.2009,
      0.2749,
      0.3126,
      0.4691,
      0.4845,
      0.3882,
      0.4903,
      0.4041,
      0.4213,
      0.4727,
      0.4108,
      0.4358,
      0.4128,
      0.4714,
      0.4633,
      0.6027,
      0.4082,
      0.4782,
      0.2757,
      0.357,
      0.4184,
      0.4241,
      0.404,
      0.4535,
      0.6071,
      0.524,
      0.4987,
      0.4116,
      0.3838,
      0.4132,
      0.3823,
      0.5043,
      0.2712,
      0.556,
      0.4444,
      0.6321,
      0.4152,
      0.599,
      0.436,
      0.5917,
      0.4409,
      0.4095,
      0.4881,
      0.3187,
      0.4694,
      0.3446,
      0.3876,
      0.4748,
      0.6008,
      0.5404,
      0.4769,
      0.4251,
      0.6213,
      0.4751,
      0.4328,
      0.5074,
      0.4541,
      0.3393,
      0.4333,
      0.3626,
      0.4478,
      0.4129,
      0.439,
      0.391,
      0.4115,
      0.4544,
      0.4556,
      0.3987,
      0.4825,
      0.4838,
      0.4409,
      0.4854,
      0.5173,
      0.4414,
      0.441,
      0.5041,
      0.5077,
      0.5185,
      0.5143,
      0.4176,
      0.5315,
      0.5093,
      0.6341,
      0.6514,
      0.6355,
      0.443,
      0.6743,
      0.5652,
      0.616,
      0.5304,
      0.3817,
      0.5569,
      0.5229,
      0.5558,
      0.4703,
      0.5195,
      0.5442,
      0.6213,
      0.4958,
      0.5773,
      0.5092,
      0.5095,
      0.5179,
      0.4131,
      0.3425,
      0.5319,
      0.4137,
      0.3904,
      0.3352,
      0.4351,
      0.4793,
      0.5367,
      0.4653,
      0.6795,
      0.4159,
      0.4291,
      0.3215,
      0.2831,
      0.5524,
      0.573,
      0.3749,
      0.494,
      0.4013,
      0.6275,
      0.4852,
      0.4311,
      0.4341,
      0.5211,
      0.4734,
      0.5188,
      0.3248,
      0.5632,
      0.4856,
      0.6669,
      0.3544,
      0.631,
      0.4387,
      0.4684,
      0.5096,
      0.4575,
      0.3359,
      0.3528,
      0.4423,
      0.4002,
      0.4003,
      0.4671,
      0.5299,
      0.4777,
      0.5684,
      0.4518,
      0.5487,
      0.4592,
      0.4363,
      0.4279,
      0.3572,
      0.416,
      0.4116,
      0.368,
      0.3806,
      0.5203,
      0.4347,
      0.3994,
      0.5092,
      0.3458,
      0.4217,
      0.2698,
      0.3554,
      0.5269,
      0.499,
      0.517,
      0.5218,
      0.4571,
      0.5183,
      0.5179,
      0.4937,
      0.5366,
      0.5118,
      0.4818,
      0.5642,
      0.61,
      0.5936,
      0.5759,
      0.6419,
      0.475,
      0.6843,
      0.5593,
      0.6253,
      0.5215,
      0.4956,
      0.5648,
      0.496,
      0.5679,
      0.477,
      0.5348,
      0.4951,
      0.5496,
      0.5024,
      0.6003,
      0.4245,
      0.4877,
      0.4252,
      0.4164,
      0.3822,
      0.4212,
      0.4261,
      0.4987,
      0.462,
      0.458,
      0.3795,
      0.34,
      0.4746,
      0.3027,
      0.5108,
      0.3322,
      0.4079,
      0.2626,
      0.5398,
      0.4713,
      0.3287,
      0.3648,
      0.4233,
      0.5301,
      0.5384,
      0.4642,
      0.4806,
      0.3946,
      0.4633,
      0.4962,
      0.343,
      0.5913,
      0.4517,
      0.6313,
      0.3711,
      0.6696,
      0.5639,
      0.6289,
      0.5346,
      0.4589,
      0.5566,
      0.4942,
      0.555,
      0.4718,
      0.5226,
      0.5073,
      0.5908,
      0.4701,
      0.5969,
      0.4308,
      0.5453,
      0.5699,
      0.516,
      0.4956,
      0.5986,
      0.4384,
      0.5587,
      0.532,
      0.553,
      0.5512,
      0.6223,
      0.5346,
      0.44,
      0.4123,
      0.4642,
      0.5885,
      0.4782,
      0.4628,
      0.4468,
      0.3662,
      0.3995,
      0.4287,
      0.4764,
      0.5583,
      0.4036,
      0.4794,
      0.3531,
      0.4688,
      0.3448,
      0.364,
      0.5232,
      0.3382,
      0.6528,
      0.188,
      0,
      0,
      0,
      0,
      0,
      0.4548,
      0.4181,
      0.3803,
      0.3514,
      0.4124,
      0.2962,
      0.3403,
      0.1628,
      0.3961,
      0.1915,
      0.2322,
      0.312,
      0.3102,
      0.2788,
      0.2994,
      0.3535,
      0.5065,
      0.5091,
      0.4065,
      0.4597,
      0.4311,
      0.3363,
      0.4582,
      0.3861,
      0.4949,
      0.4916,
      0.4063,
      0.3908,
      0.5901,
      0.5166,
      0.436,
      0.3057,
      0.3206,
      0.4459,
      0.4169,
      0.3759,
      0.4405,
      0.5486,
      0.4426,
      0.4432,
      0.3658,
      0.3953,
      0.3151,
      0.3816,
      0.4137,
      0.3082,
      0.5051,
      0.4401,
      0.5822,
      0.4638,
      0.6507,
      0.51,
      0.6096,
      0.3885,
      0.3827,
      0.4916,
      0.3933,
      0.4497,
      0.2966,
      0.3943,
      0.5359,
      0.5578,
      0.4321,
      0.4014,
      0.4047,
      0.6009,
      0.5125,
      0.3872,
      0.4367,
      0.4858,
      0.406,
      0.4142,
      0.4442,
      0.4678,
      0.4919,
      0.3937,
      0.4843,
      0.4302,
      0.4158,
      0.3969,
      0.408,
      0.4059,
      0.4863,
      0.5619,
      0.526,
      0.5028,
      0.4682,
      0.4278,
      0.4441,
      0.5491,
      0.4816,
      0.4596,
      0.4702,
      0.435,
      0.5523,
      0.5885,
      0.5924,
      0.6448,
      0.5499,
      0.6416,
      0.5354,
      0.5361,
      0.5567,
      0.3711,
      0.632,
      0.5064,
      0.5918,
      0.4976,
      0.4542,
      0.5249,
      0.5597,
      0.4324,
      0.5689,
      0.5447,
      0.5187,
      0.5622,
      0.3526,
      0.3589,
      0.5484,
      0.3537,
      0.4043,
      0.3196,
      0.4375,
      0.4831,
      0.5469,
      0.487,
      0.6804,
      0.4911,
      0.3757,
      0.3882,
      0.3202,
      0.5044,
      0.4542,
      0.3427,
      0.4812,
      0.4171,
      0.4804,
      0.4427,
      0.364,
      0.4356,
      0.544,
      0.4414,
      0.5341,
      0.4017,
      0.5671,
      0.4465,
      0.6556,
      0.3716,
      0.6735,
      0.5139,
      0.5799,
      0.4449,
      0.3775,
      0.3093,
      0.3811,
      0.4236,
      0.3331,
      0.3229,
      0.5231,
      0.5045,
      0.4078,
      0.4293,
      0.5237,
      0.5221,
      0.4909,
      0.4464,
      0.4113,
      0.4489,
      0.448,
      0.4323,
      0.3884,
      0.4826,
      0.5949,
      0.4264,
      0.3963,
      0.5346,
      0.386,
      0.4015,
      0.3205,
      0.4493,
      0.5064,
      0.573,
      0.5225,
      0.5213,
      0.4937,
      0.5195,
      0.4862,
      0.4719,
      0.4572,
      0.437,
      0.4386,
      0.5369,
      0.5553,
      0.4941,
      0.5546,
      0.6746,
      0.5164,
      0.6402,
      0.5119,
      0.5331,
      0.5077,
      0.442,
      0.6228,
      0.5867,
      0.5803,
      0.4924,
      0.479,
      0.5486,
      0.5888,
      0.4246,
      0.587,
      0.5018,
      0.5087,
      0.5008,
      0.4581,
      0.4514,
      0.4501,
      0.409,
      0.4616,
      0.4659,
      0.2966,
      0.2707,
      0.3803,
      0.5115,
      0.4056,
      0.4526,
      0.3447,
      0.4274,
      0.2712,
      0.482,
      0.4681,
      0.3154,
      0.4551,
      0.4762,
      0.414,
      0.4327,
      0.4142,
      0.4275,
      0.4074,
      0.5511,
      0.509,
      0.4259,
      0.5569,
      0.4363,
      0.6475,
      0.4024,
      0.603,
      0.5185,
      0.5474,
      0.5263,
      0.3954,
      0.6173,
      0.5808,
      0.5768,
      0.4517,
      0.4623,
      0.5446,
      0.6265,
      0.3381,
      0.5299,
      0.4941,
      0.4739,
      0.5995,
      0.5386,
      0.5247,
      0.6508,
      0.4404,
      0.4335,
      0.5588,
      0.5726,
      0.4713,
      0.5508,
      0.5409,
      0.5764,
      0.4007,
      0.4096,
      0.6143,
      0.5498,
      0.4312,
      0.3885,
      0.3559,
      0.2934,
      0.3857,
      0.4316,
      0.5085,
      0.4139,
      0.4313,
      0.2885,
      0.4293,
      0.3001,
      0.4061,
      0.5262,
      0.3836,
      0.6535,
      0.2363,
      0.0131,
      0,
      0,
      0,
      0,
      0.36,
      0.3834,
      0.3175,
      0.1538,
      0.3777,
      0.1763,
      0.2584,
      0.1842,
      0.2972,
      0.2658,
      0.3007,
      0.3164,
      0.3461,
      0.242,
      0.4039,
      0.3335,
      0.4477,
      0.3655,
      0.331,
      0.3563,
      0.3484,
      0.3772,
      0.3578,
      0.2814,
      0.5037,
      0.4574,
      0.4333,
      0.5596,
      0.6436,
      0.5738,
      0.3951,
      0.2831,
      0.3037,
      0.3687,
      0.3181,
      0.2908,
      0.4549,
      0.471,
      0.4098,
      0.3949,
      0.2948,
      0.4307,
      0.3809,
      0.4423,
      0.3921,
      0.351,
      0.5749,
      0.4683,
      0.5781,
      0.43,
      0.6042,
      0.4774,
      0.6225,
      0.4427,
      0.34,
      0.5078,
      0.5056,
      0.4303,
      0.4006,
      0.3695,
      0.5023,
      0.5663,
      0.3943,
      0.4514,
      0.4369,
      0.6193,
      0.4629,
      0.3866,
      0.3377,
      0.4101,
      0.3743,
      0.3935,
      0.561,
      0.5014,
      0.4836,
      0.4577,
      0.5932,
      0.4668,
      0.405,
      0.4462,
      0.4936,
      0.4712,
      0.4721,
      0.4975,
      0.3679,
      0.547,
      0.4261,
      0.3921,
      0.4896,
      0.5829,
      0.4828,
      0.4665,
      0.4656,
      0.5317,
      0.5295,
      0.5966,
      0.4973,
      0.6031,
      0.4573,
      0.5689,
      0.5299,
      0.5722,
      0.535,
      0.4126,
      0.6529,
      0.5406,
      0.5597,
      0.6193,
      0.518,
      0.5416,
      0.5564,
      0.3612,
      0.619,
      0.5693,
      0.5921,
      0.5562,
      0.2221,
      0.3455,
      0.4914,
      0.3971,
      0.3263,
      0.3101,
      0.4736,
      0.496,
      0.5502,
      0.3938,
      0.6214,
      0.4824,
      0.439,
      0.3498,
      0.2521,
      0.3763,
      0.3412,
      0.3582,
      0.4815,
      0.5152,
      0.4822,
      0.416,
      0.3905,
      0.4648,
      0.4468,
      0.4368,
      0.5227,
      0.3883,
      0.5674,
      0.4606,
      0.6034,
      0.3412,
      0.5955,
      0.5389,
      0.5193,
      0.4197,
      0.3549,
      0.2678,
      0.2792,
      0.3845,
      0.3527,
      0.355,
      0.4816,
      0.5018,
      0.391,
      0.4683,
      0.5445,
      0.5435,
      0.3938,
      0.5048,
      0.4125,
      0.357,
      0.4002,
      0.3462,
      0.3759,
      0.4709,
      0.5786,
      0.4137,
      0.423,
      0.4859,
      0.4205,
      0.3934,
      0.3308,
      0.4147,
      0.492,
      0.552,
      0.4857,
      0.5149,
      0.4322,
      0.4928,
      0.4845,
      0.5202,
      0.4757,
      0.4712,
      0.452,
      0.5595,
      0.4932,
      0.5781,
      0.553,
      0.628,
      0.4748,
      0.5643,
      0.4973,
      0.5053,
      0.5305,
      0.4083,
      0.626,
      0.4897,
      0.5671,
      0.5831,
      0.5347,
      0.5038,
      0.4958,
      0.4182,
      0.6044,
      0.5522,
      0.5705,
      0.3317,
      0.255,
      0.252,
      0.3855,
      0.4661,
      0.2798,
      0.4379,
      0.2892,
      0.3907,
      0.3841,
      0.5057,
      0.4389,
      0.4792,
      0.3812,
      0.3865,
      0.3412,
      0.4553,
      0.4079,
      0.2912,
      0.37,
      0.3381,
      0.4995,
      0.4512,
      0.3933,
      0.4638,
      0.4162,
      0.4306,
      0.4534,
      0.399,
      0.5632,
      0.448,
      0.5487,
      0.3987,
      0.514,
      0.5323,
      0.5105,
      0.5139,
      0.4376,
      0.6322,
      0.468,
      0.5539,
      0.5716,
      0.495,
      0.5118,
      0.6086,
      0.4101,
      0.5815,
      0.5005,
      0.6071,
      0.5608,
      0.582,
      0.478,
      0.5909,
      0.4524,
      0.4578,
      0.5234,
      0.5639,
      0.5562,
      0.5451,
      0.5222,
      0.5352,
      0.3671,
      0.5167,
      0.6082,
      0.4594,
      0.4924,
      0.2995,
      0.333,
      0.2232,
      0.3692,
      0.4333,
      0.3906,
      0.379,
      0.4129,
      0.2462,
      0.3518,
      0.3366,
      0.3466,
      0.5109,
      0.3771,
      0.5567,
      0.1908,
      0.0323,
      0,
      0,
      0,
      0,
      0.3323,
      0.3312,
      0.3447,
      0.3124,
      0.3384,
      0.2274,
      0.2642,
      0.1508,
      0.3294,
      0.3457,
      0.3092,
      0.3076,
      0.3213,
      0.2995,
      0.3864,
      0.3856,
      0.5691,
      0.3496,
      0.3566,
      0.4661,
      0.3447,
      0.4397,
      0.4084,
      0.3813,
      0.4143,
      0.4896,
      0.3979,
      0.5627,
      0.6705,
      0.3354,
      0.3999,
      0.3025,
      0.3754,
      0.395,
      0.3402,
      0.3543,
      0.4764,
      0.4696,
      0.4771,
      0.46,
      0.346,
      0.4822,
      0.4742,
      0.4071,
      0.5062,
      0.3434,
      0.6061,
      0.471,
      0.5622,
      0.4201,
      0.6109,
      0.4876,
      0.5272,
      0.4469,
      0.4439,
      0.4851,
      0.4232,
      0.4732,
      0.3996,
      0.3907,
      0.5331,
      0.5901,
      0.4161,
      0.4451,
      0.3916,
      0.5326,
      0.4238,
      0.363,
      0.3168,
      0.4282,
      0.4244,
      0.3147,
      0.499,
      0.495,
      0.4788,
      0.4304,
      0.5439,
      0.4421,
      0.467,
      0.4252,
      0.5702,
      0.4427,
      0.5019,
      0.5771,
      0.4814,
      0.4671,
      0.4116,
      0.4745,
      0.4934,
      0.5415,
      0.4524,
      0.4154,
      0.4583,
      0.4217,
      0.5468,
      0.5845,
      0.5784,
      0.5872,
      0.46,
      0.6392,
      0.531,
      0.5316,
      0.5382,
      0.4322,
      0.5394,
      0.4709,
      0.5524,
      0.5856,
      0.5396,
      0.4953,
      0.6533,
      0.3551,
      0.5181,
      0.5507,
      0.5662,
      0.502,
      0.3106,
      0.4697,
      0.6372,
      0.3807,
      0.4013,
      0.2886,
      0.4775,
      0.5559,
      0.5006,
      0.4328,
      0.588,
      0.3803,
      0.3422,
      0.3515,
      0.2928,
      0.4948,
      0.3416,
      0.337,
      0.4896,
      0.5175,
      0.5321,
      0.4363,
      0.3546,
      0.3924,
      0.4968,
      0.4244,
      0.4393,
      0.3719,
      0.6119,
      0.461,
      0.6161,
      0.3711,
      0.6065,
      0.4642,
      0.4143,
      0.4764,
      0.3839,
      0.2984,
      0.3242,
      0.4284,
      0.4028,
      0.3163,
      0.4295,
      0.5149,
      0.3764,
      0.4732,
      0.5006,
      0.5863,
      0.3996,
      0.5736,
      0.4192,
      0.3772,
      0.3912,
      0.374,
      0.3395,
      0.4366,
      0.4922,
      0.4183,
      0.4459,
      0.5513,
      0.3478,
      0.3906,
      0.293,
      0.4612,
      0.575,
      0.6068,
      0.4871,
      0.4416,
      0.4586,
      0.5166,
      0.5315,
      0.5574,
      0.448,
      0.5124,
      0.4827,
      0.4797,
      0.5127,
      0.5824,
      0.5464,
      0.5892,
      0.4846,
      0.6147,
      0.4986,
      0.5189,
      0.5479,
      0.4031,
      0.5183,
      0.4917,
      0.5542,
      0.5078,
      0.5411,
      0.4778,
      0.573,
      0.3323,
      0.6081,
      0.5382,
      0.5405,
      0.2823,
      0.242,
      0.3587,
      0.4115,
      0.3969,
      0.411,
      0.4852,
      0.301,
      0.3479,
      0.4388,
      0.5253,
      0.3887,
      0.4901,
      0.3009,
      0.4186,
      0.4268,
      0.3809,
      0.4614,
      0.4002,
      0.4357,
      0.3802,
      0.518,
      0.4745,
      0.289,
      0.3518,
      0.482,
      0.3686,
      0.4498,
      0.4265,
      0.5508,
      0.4915,
      0.6061,
      0.467,
      0.6084,
      0.5179,
      0.5316,
      0.5372,
      0.4031,
      0.5285,
      0.5381,
      0.5868,
      0.5135,
      0.5578,
      0.4292,
      0.5898,
      0.4298,
      0.5533,
      0.5031,
      0.5251,
      0.5868,
      0.5638,
      0.424,
      0.5978,
      0.3084,
      0.4462,
      0.5576,
      0.648,
      0.485,
      0.6075,
      0.5062,
      0.4743,
      0.3662,
      0.5107,
      0.5543,
      0.5329,
      0.4485,
      0.3341,
      0.3671,
      0.1627,
      0.37,
      0.4755,
      0.4498,
      0.3021,
      0.4676,
      0.2999,
      0.3202,
      0.3154,
      0.3803,
      0.5243,
      0.3812,
      0.5896,
      0.1388,
      0.0305,
      0,
      0,
      0,
      0,
      0.469,
      0.3888,
      0.2803,
      0.3224,
      0.3265,
      0.3017,
      0.3107,
      0.2028,
      0.4784,
      0.2402,
      0.2084,
      0.1977,
      0.1626,
      0.2308,
      0.2459,
      0.2232,
      0.5634,
      0.5208,
      0.5813,
      0.5511,
      0.2767,
      0.3633,
      0.4528,
      0.3042,
      0.5076,
      0.5319,
      0.4665,
      0.4708,
      0.6519,
      0.3697,
      0.424,
      0.3626,
      0.3061,
      0.5281,
      0.3451,
      0.3818,
      0.4523,
      0.5492,
      0.4314,
      0.4398,
      0.3761,
      0.597,
      0.5314,
      0.3633,
      0.5075,
      0.3614,
      0.5725,
      0.3305,
      0.5281,
      0.4324,
      0.623,
      0.4936,
      0.5407,
      0.3951,
      0.3554,
      0.5087,
      0.4014,
      0.4235,
      0.3339,
      0.326,
      0.4585,
      0.529,
      0.4815,
      0.5335,
      0.5388,
      0.5088,
      0.5691,
      0.4074,
      0.5331,
      0.4933,
      0.3658,
      0.398,
      0.3246,
      0.461,
      0.542,
      0.4257,
      0.3778,
      0.3526,
      0.4521,
      0.4627,
      0.4407,
      0.4659,
      0.4712,
      0.5592,
      0.4868,
      0.4066,
      0.4204,
      0.4547,
      0.4253,
      0.4858,
      0.4864,
      0.5105,
      0.5251,
      0.5613,
      0.5402,
      0.6404,
      0.5652,
      0.5838,
      0.5379,
      0.6108,
      0.5757,
      0.5601,
      0.5712,
      0.3479,
      0.5697,
      0.5759,
      0.5986,
      0.5166,
      0.465,
      0.4984,
      0.5599,
      0.4021,
      0.5339,
      0.5521,
      0.4869,
      0.3455,
      0.3915,
      0.4847,
      0.5597,
      0.4259,
      0.4122,
      0.343,
      0.4346,
      0.5778,
      0.5388,
      0.4848,
      0.6288,
      0.3666,
      0.3478,
      0.3804,
      0.4378,
      0.3946,
      0.3734,
      0.4117,
      0.396,
      0.5537,
      0.4426,
      0.4334,
      0.3857,
      0.4536,
      0.4299,
      0.3792,
      0.4675,
      0.4078,
      0.5796,
      0.3675,
      0.5545,
      0.2991,
      0.62,
      0.4236,
      0.4386,
      0.4548,
      0.3108,
      0.2894,
      0.4325,
      0.529,
      0.4797,
      0.3637,
      0.4083,
      0.419,
      0.4445,
      0.3596,
      0.4582,
      0.5552,
      0.3306,
      0.4838,
      0.4481,
      0.2912,
      0.3642,
      0.296,
      0.2952,
      0.5051,
      0.5039,
      0.3249,
      0.5113,
      0.4741,
      0.3934,
      0.4135,
      0.3495,
      0.3804,
      0.5309,
      0.5794,
      0.4861,
      0.3908,
      0.4356,
      0.4318,
      0.4633,
      0.5539,
      0.4905,
      0.4791,
      0.5286,
      0.5775,
      0.5081,
      0.6273,
      0.5091,
      0.6059,
      0.491,
      0.6105,
      0.5367,
      0.5527,
      0.5446,
      0.3752,
      0.5675,
      0.4952,
      0.6175,
      0.5499,
      0.4842,
      0.4529,
      0.5463,
      0.4446,
      0.6048,
      0.4969,
      0.4168,
      0.3248,
      0.2548,
      0.3515,
      0.2987,
      0.4174,
      0.4567,
      0.4292,
      0.483,
      0.326,
      0.3598,
      0.4678,
      0.4252,
      0.4728,
      0.2939,
      0.467,
      0.375,
      0.4209,
      0.4521,
      0.409,
      0.3792,
      0.45,
      0.4321,
      0.4685,
      0.3609,
      0.257,
      0.322,
      0.3606,
      0.5092,
      0.3353,
      0.5594,
      0.4057,
      0.5697,
      0.437,
      0.5973,
      0.5824,
      0.5544,
      0.5442,
      0.333,
      0.5928,
      0.5713,
      0.5953,
      0.503,
      0.4922,
      0.5062,
      0.585,
      0.4446,
      0.5659,
      0.4707,
      0.4654,
      0.5506,
      0.5958,
      0.5242,
      0.5316,
      0.3933,
      0.4157,
      0.6095,
      0.6045,
      0.5706,
      0.676,
      0.5587,
      0.5119,
      0.3268,
      0.5417,
      0.5974,
      0.4817,
      0.3551,
      0.2717,
      0.3579,
      0.2251,
      0.3937,
      0.4237,
      0.4597,
      0.3928,
      0.3874,
      0.3418,
      0.3835,
      0.3578,
      0.4232,
      0.5226,
      0.3474,
      0.6069,
      0.1182,
      0,
      0,
      0,
      0,
      0,
      0.4336,
      0.4312,
      0.3444,
      0.3676,
      0.3764,
      0.4274,
      0.4207,
      0.3006,
      0.3571,
      0.1712,
      0.2107,
      0.2334,
      0.2309,
      0.126,
      0.2488,
      0.1749,
      0.4875,
      0.5997,
      0.3931,
      0.4225,
      0.3744,
      0.5345,
      0.5534,
      0.4029,
      0.4504,
      0.6573,
      0.3782,
      0.4274,
      0.5785,
      0.3729,
      0.4135,
      0.2732,
      0.3052,
      0.487,
      0.3937,
      0.3029,
      0.4144,
      0.5884,
      0.5736,
      0.4895,
      0.3005,
      0.6149,
      0.5088,
      0.2989,
      0.4909,
      0.4541,
      0.5741,
      0.396,
      0.6514,
      0.4313,
      0.633,
      0.4807,
      0.5459,
      0.5045,
      0.3466,
      0.5022,
      0.3735,
      0.4042,
      0.2705,
      0.3129,
      0.4422,
      0.5731,
      0.4638,
      0.5375,
      0.5211,
      0.5344,
      0.5948,
      0.5506,
      0.5532,
      0.4274,
      0.4081,
      0.3999,
      0.4268,
      0.4366,
      0.4917,
      0.5049,
      0.3064,
      0.381,
      0.4475,
      0.418,
      0.3426,
      0.4062,
      0.4906,
      0.5526,
      0.4663,
      0.4926,
      0.4419,
      0.4566,
      0.4906,
      0.5302,
      0.4342,
      0.5939,
      0.4717,
      0.5599,
      0.5733,
      0.6836,
      0.56,
      0.6297,
      0.487,
      0.6003,
      0.566,
      0.4664,
      0.5759,
      0.3511,
      0.4986,
      0.6144,
      0.5317,
      0.5593,
      0.5323,
      0.5272,
      0.5806,
      0.4266,
      0.5491,
      0.507,
      0.4682,
      0.4048,
      0.4183,
      0.4592,
      0.5422,
      0.433,
      0.3489,
      0.4191,
      0.5728,
      0.6087,
      0.5476,
      0.5299,
      0.5877,
      0.3791,
      0.3782,
      0.4175,
      0.4385,
      0.388,
      0.3825,
      0.4852,
      0.4834,
      0.5503,
      0.4826,
      0.6143,
      0.5508,
      0.5361,
      0.3723,
      0.4935,
      0.4987,
      0.2534,
      0.5999,
      0.3857,
      0.6403,
      0.2999,
      0.6359,
      0.4214,
      0.5232,
      0.4905,
      0.3847,
      0.2798,
      0.4132,
      0.4963,
      0.398,
      0.3874,
      0.4078,
      0.4661,
      0.6348,
      0.3704,
      0.3461,
      0.5244,
      0.3668,
      0.3253,
      0.5197,
      0.3386,
      0.5434,
      0.3743,
      0.3973,
      0.4211,
      0.5264,
      0.3629,
      0.3737,
      0.4563,
      0.3759,
      0.3434,
      0.3441,
      0.3681,
      0.4728,
      0.5763,
      0.4975,
      0.5199,
      0.4469,
      0.526,
      0.5249,
      0.6167,
      0.4325,
      0.5957,
      0.4831,
      0.5732,
      0.5613,
      0.6681,
      0.5625,
      0.6654,
      0.4288,
      0.595,
      0.5346,
      0.5246,
      0.5697,
      0.4294,
      0.5034,
      0.6528,
      0.543,
      0.5887,
      0.545,
      0.4875,
      0.4993,
      0.3736,
      0.4822,
      0.4944,
      0.4902,
      0.3517,
      0.3625,
      0.3454,
      0.3425,
      0.3693,
      0.4158,
      0.4117,
      0.4427,
      0.3318,
      0.3793,
      0.441,
      0.4236,
      0.4998,
      0.2787,
      0.4597,
      0.3018,
      0.337,
      0.4179,
      0.2795,
      0.3864,
      0.3959,
      0.484,
      0.5065,
      0.3382,
      0.3565,
      0.3777,
      0.4411,
      0.4749,
      0.3625,
      0.6059,
      0.4225,
      0.6062,
      0.4026,
      0.5742,
      0.5676,
      0.4968,
      0.5577,
      0.3479,
      0.5341,
      0.639,
      0.564,
      0.4763,
      0.518,
      0.5005,
      0.4506,
      0.4522,
      0.4668,
      0.4324,
      0.4264,
      0.5181,
      0.5016,
      0.4993,
      0.6473,
      0.4263,
      0.497,
      0.5776,
      0.5682,
      0.6703,
      0.6563,
      0.5117,
      0.4946,
      0.3563,
      0.4977,
      0.5876,
      0.3759,
      0.4603,
      0.3188,
      0.2795,
      0.2405,
      0.3985,
      0.4458,
      0.4413,
      0.3852,
      0.4332,
      0.3668,
      0.4084,
      0.3211,
      0.4342,
      0.5561,
      0.3395,
      0.5865,
      0.1875,
      0.0434,
      0,
      0,
      0,
      0,
      0.4216,
      0.2439,
      0.2871,
      0.2261,
      0.3116,
      0.1861,
      0.2334,
      0.3971,
      0.4003,
      0.292,
      0.1863,
      0.1689,
      0.2007,
      0.1885,
      0.3017,
      0.2069,
      0.5615,
      0.493,
      0.3535,
      0.4397,
      0.3251,
      0.6204,
      0.5671,
      0.5609,
      0.4883,
      0.5939,
      0.446,
      0.5069,
      0.6127,
      0.4657,
      0.529,
      0.3361,
      0.3644,
      0.4291,
      0.3283,
      0.3128,
      0.4419,
      0.6169,
      0.5894,
      0.496,
      0.4343,
      0.5256,
      0.5299,
      0.5119,
      0.5548,
      0.4482,
      0.6318,
      0.4634,
      0.6258,
      0.4148,
      0.6327,
      0.5461,
      0.5436,
      0.4398,
      0.4628,
      0.4417,
      0.4715,
      0.4683,
      0.4888,
      0.3523,
      0.4042,
      0.5761,
      0.4327,
      0.4386,
      0.5552,
      0.4733,
      0.4797,
      0.45,
      0.5406,
      0.3784,
      0.3908,
      0.3854,
      0.3547,
      0.4481,
      0.5205,
      0.518,
      0.4561,
      0.4765,
      0.4865,
      0.5065,
      0.4417,
      0.4633,
      0.4892,
      0.4671,
      0.4587,
      0.503,
      0.4019,
      0.533,
      0.4383,
      0.5895,
      0.4647,
      0.5634,
      0.4634,
      0.5523,
      0.6034,
      0.6733,
      0.596,
      0.66,
      0.4608,
      0.6175,
      0.5084,
      0.5196,
      0.5668,
      0.4275,
      0.5462,
      0.6127,
      0.5015,
      0.5387,
      0.5405,
      0.4552,
      0.6003,
      0.4087,
      0.5098,
      0.4201,
      0.5152,
      0.48,
      0.4157,
      0.3998,
      0.5151,
      0.4515,
      0.3554,
      0.381,
      0.4967,
      0.6113,
      0.5326,
      0.4161,
      0.539,
      0.5304,
      0.3901,
      0.4507,
      0.2812,
      0.5047,
      0.3959,
      0.4149,
      0.4331,
      0.5454,
      0.5912,
      0.5309,
      0.4839,
      0.4275,
      0.468,
      0.5077,
      0.5009,
      0.3896,
      0.5474,
      0.3582,
      0.645,
      0.3459,
      0.6789,
      0.4276,
      0.5021,
      0.4259,
      0.5272,
      0.2755,
      0.4521,
      0.5022,
      0.4975,
      0.408,
      0.4718,
      0.4606,
      0.4995,
      0.5145,
      0.4234,
      0.5648,
      0.3909,
      0.2355,
      0.3705,
      0.2679,
      0.5838,
      0.4062,
      0.3895,
      0.4857,
      0.5951,
      0.453,
      0.3994,
      0.557,
      0.4961,
      0.3787,
      0.3814,
      0.4059,
      0.4636,
      0.4787,
      0.4316,
      0.4371,
      0.4129,
      0.5673,
      0.4073,
      0.6196,
      0.4468,
      0.5781,
      0.506,
      0.5473,
      0.5534,
      0.6524,
      0.5433,
      0.6734,
      0.4603,
      0.6211,
      0.531,
      0.555,
      0.5845,
      0.4574,
      0.5455,
      0.61,
      0.6003,
      0.5704,
      0.5517,
      0.4473,
      0.5881,
      0.4131,
      0.5587,
      0.3971,
      0.5318,
      0.3411,
      0.1736,
      0.2705,
      0.3063,
      0.3073,
      0.336,
      0.4133,
      0.322,
      0.2942,
      0.3403,
      0.5099,
      0.4731,
      0.4957,
      0.2826,
      0.4417,
      0.3673,
      0.386,
      0.3665,
      0.3523,
      0.3547,
      0.461,
      0.5212,
      0.4763,
      0.3776,
      0.3089,
      0.4176,
      0.5022,
      0.5338,
      0.4055,
      0.5668,
      0.4316,
      0.6204,
      0.4311,
      0.6077,
      0.5193,
      0.5083,
      0.587,
      0.4192,
      0.516,
      0.6284,
      0.5588,
      0.4308,
      0.545,
      0.5044,
      0.5842,
      0.4049,
      0.5255,
      0.3739,
      0.5231,
      0.5162,
      0.5473,
      0.5007,
      0.5981,
      0.4085,
      0.4345,
      0.5498,
      0.5891,
      0.6153,
      0.6219,
      0.4908,
      0.5882,
      0.5069,
      0.4881,
      0.5473,
      0.467,
      0.5069,
      0.3716,
      0.3687,
      0.2854,
      0.4356,
      0.5056,
      0.5142,
      0.3287,
      0.473,
      0.4287,
      0.5523,
      0.4039,
      0.5731,
      0.5299,
      0.4205,
      0.6512,
      0.3548,
      0.0681,
      0,
      0,
      0,
      0,
      0.3948,
      0.271,
      0.3288,
      0.253,
      0.2528,
      0.1924,
      0.2066,
      0.3837,
      0.3655,
      0.2821,
      0.1362,
      0.2143,
      0.1971,
      0.1966,
      0.3352,
      0.2894,
      0.4502,
      0.3956,
      0.381,
      0.4321,
      0.2952,
      0.4385,
      0.3903,
      0.4374,
      0.5615,
      0.5149,
      0.4612,
      0.4749,
      0.5702,
      0.4335,
      0.4677,
      0.3002,
      0.3422,
      0.3656,
      0.4109,
      0.2943,
      0.3992,
      0.57,
      0.4471,
      0.4513,
      0.4326,
      0.4284,
      0.4033,
      0.5087,
      0.5357,
      0.327,
      0.5918,
      0.4502,
      0.6078,
      0.4193,
      0.6324,
      0.4452,
      0.4218,
      0.443,
      0.4099,
      0.3464,
      0.3156,
      0.3964,
      0.3974,
      0.3247,
      0.4285,
      0.573,
      0.4688,
      0.4721,
      0.4192,
      0.4742,
      0.313,
      0.3532,
      0.3161,
      0.2738,
      0.3638,
      0.3321,
      0.3528,
      0.5311,
      0.576,
      0.4532,
      0.4499,
      0.3598,
      0.4371,
      0.3497,
      0.3969,
      0.4042,
      0.5461,
      0.5388,
      0.4814,
      0.4327,
      0.4589,
      0.4347,
      0.4745,
      0.5878,
      0.475,
      0.6084,
      0.4882,
      0.5713,
      0.578,
      0.661,
      0.6232,
      0.5975,
      0.4383,
      0.5986,
      0.518,
      0.5278,
      0.5789,
      0.4675,
      0.5681,
      0.5188,
      0.5114,
      0.5834,
      0.5202,
      0.4644,
      0.4985,
      0.4106,
      0.5685,
      0.485,
      0.472,
      0.4282,
      0.3407,
      0.2902,
      0.5359,
      0.4069,
      0.327,
      0.3658,
      0.5201,
      0.5323,
      0.4215,
      0.3827,
      0.6317,
      0.394,
      0.3631,
      0.4303,
      0.2567,
      0.5199,
      0.4398,
      0.3603,
      0.3348,
      0.4971,
      0.5046,
      0.3611,
      0.3502,
      0.4053,
      0.4361,
      0.4993,
      0.5243,
      0.3273,
      0.6084,
      0.444,
      0.6262,
      0.364,
      0.6309,
      0.41,
      0.4395,
      0.3412,
      0.3559,
      0.2876,
      0.3925,
      0.5144,
      0.4078,
      0.2996,
      0.5262,
      0.4095,
      0.399,
      0.5247,
      0.4014,
      0.5382,
      0.4091,
      0.3237,
      0.3531,
      0.397,
      0.5211,
      0.4189,
      0.3394,
      0.5449,
      0.619,
      0.4418,
      0.396,
      0.4866,
      0.2922,
      0.3502,
      0.4,
      0.427,
      0.5366,
      0.5566,
      0.4898,
      0.3902,
      0.4606,
      0.4558,
      0.461,
      0.5737,
      0.489,
      0.6194,
      0.4942,
      0.5492,
      0.5061,
      0.6576,
      0.5527,
      0.6272,
      0.4177,
      0.6193,
      0.4999,
      0.5278,
      0.5762,
      0.4525,
      0.5678,
      0.5159,
      0.5191,
      0.5774,
      0.4681,
      0.4485,
      0.4414,
      0.4421,
      0.6359,
      0.4844,
      0.4429,
      0.3686,
      0.2518,
      0.3198,
      0.4138,
      0.3341,
      0.3831,
      0.4082,
      0.42,
      0.3331,
      0.342,
      0.4952,
      0.3921,
      0.5026,
      0.2952,
      0.4569,
      0.3844,
      0.3941,
      0.4223,
      0.1451,
      0.403,
      0.4479,
      0.4944,
      0.4212,
      0.3948,
      0.365,
      0.3694,
      0.4553,
      0.5574,
      0.3658,
      0.5613,
      0.4062,
      0.5865,
      0.4702,
      0.6011,
      0.4581,
      0.5345,
      0.5729,
      0.4068,
      0.5468,
      0.5216,
      0.5149,
      0.4721,
      0.4397,
      0.5044,
      0.4892,
      0.3509,
      0.5788,
      0.4279,
      0.4352,
      0.5373,
      0.5608,
      0.5245,
      0.5023,
      0.4258,
      0.4343,
      0.5546,
      0.6294,
      0.6283,
      0.6009,
      0.4499,
      0.5552,
      0.3398,
      0.5134,
      0.5569,
      0.5256,
      0.4413,
      0.337,
      0.353,
      0.2962,
      0.3972,
      0.4369,
      0.4592,
      0.2772,
      0.4618,
      0.3004,
      0.4799,
      0.3838,
      0.4916,
      0.4771,
      0.347,
      0.6306,
      0.274,
      0.0018,
      0,
      0,
      0,
      0,
      0.2323,
      0.3368,
      0.4129,
      0.2823,
      0.3638,
      0.2307,
      0.2516,
      0.2234,
      0.2428,
      0.3213,
      0.2728,
      0.2906,
      0.2758,
      0.2271,
      0.3825,
      0.31,
      0.4787,
      0.3123,
      0.2431,
      0.3638,
      0.3073,
      0.3652,
      0.322,
      0.3649,
      0.5409,
      0.4276,
      0.4783,
      0.4574,
      0.4869,
      0.4991,
      0.4003,
      0.2268,
      0.2663,
      0.3319,
      0.3971,
      0.3644,
      0.2569,
      0.5157,
      0.4554,
      0.3778,
      0.3602,
      0.404,
      0.4376,
      0.4371,
      0.5323,
      0.3723,
      0.5536,
      0.4818,
      0.5794,
      0.3835,
      0.5917,
      0.3977,
      0.4855,
      0.4359,
      0.3754,
      0.3613,
      0.4313,
      0.3694,
      0.4121,
      0.3508,
      0.4644,
      0.5106,
      0.3801,
      0.4227,
      0.3877,
      0.4518,
      0.3421,
      0.315,
      0.2868,
      0.4905,
      0.3507,
      0.2638,
      0.3388,
      0.4811,
      0.4341,
      0.4861,
      0.5282,
      0.4755,
      0.4531,
      0.4037,
      0.3787,
      0.3935,
      0.5985,
      0.5067,
      0.3731,
      0.4913,
      0.4587,
      0.4361,
      0.5117,
      0.5994,
      0.4152,
      0.6223,
      0.5031,
      0.5622,
      0.6133,
      0.698,
      0.5971,
      0.596,
      0.4445,
      0.6195,
      0.582,
      0.5704,
      0.5734,
      0.3607,
      0.5665,
      0.5294,
      0.5252,
      0.5941,
      0.4402,
      0.4654,
      0.5611,
      0.4173,
      0.5917,
      0.4667,
      0.4196,
      0.3988,
      0.2496,
      0.22,
      0.5129,
      0.367,
      0.3468,
      0.2814,
      0.4041,
      0.4172,
      0.5177,
      0.4213,
      0.5972,
      0.3981,
      0.4022,
      0.329,
      0.3103,
      0.5568,
      0.4935,
      0.2964,
      0.2869,
      0.4671,
      0.4482,
      0.3396,
      0.2413,
      0.3471,
      0.4244,
      0.4013,
      0.5591,
      0.3583,
      0.5705,
      0.435,
      0.6066,
      0.3748,
      0.6244,
      0.5508,
      0.4258,
      0.5059,
      0.3483,
      0.3384,
      0.368,
      0.445,
      0.3711,
      0.2675,
      0.4378,
      0.4161,
      0.4252,
      0.4441,
      0.5049,
      0.5541,
      0.4064,
      0.3862,
      0.3966,
      0.39,
      0.422,
      0.3979,
      0.3632,
      0.4966,
      0.4747,
      0.4279,
      0.3872,
      0.5044,
      0.4601,
      0.3719,
      0.3469,
      0.4069,
      0.5827,
      0.466,
      0.4351,
      0.409,
      0.459,
      0.4568,
      0.521,
      0.6017,
      0.3657,
      0.6567,
      0.4787,
      0.5457,
      0.5348,
      0.6324,
      0.5801,
      0.6508,
      0.4649,
      0.6085,
      0.5728,
      0.5671,
      0.5793,
      0.4557,
      0.5221,
      0.5467,
      0.5502,
      0.5789,
      0.4426,
      0.4659,
      0.5283,
      0.4642,
      0.643,
      0.4468,
      0.4686,
      0.3648,
      0.2755,
      0.3142,
      0.2393,
      0.3276,
      0.4928,
      0.4066,
      0.3865,
      0.3607,
      0.3809,
      0.4932,
      0.4624,
      0.5047,
      0.3554,
      0.3856,
      0.525,
      0.3742,
      0.4177,
      0.2832,
      0.3762,
      0.402,
      0.5244,
      0.415,
      0.4217,
      0.4296,
      0.3562,
      0.5321,
      0.5614,
      0.348,
      0.5827,
      0.4894,
      0.5388,
      0.4499,
      0.6433,
      0.5619,
      0.5336,
      0.5793,
      0.3879,
      0.5831,
      0.5341,
      0.5387,
      0.4761,
      0.4843,
      0.3717,
      0.5461,
      0.4501,
      0.6301,
      0.3935,
      0.4626,
      0.6092,
      0.4909,
      0.4699,
      0.6242,
      0.3415,
      0.451,
      0.5452,
      0.664,
      0.5343,
      0.6509,
      0.5417,
      0.5056,
      0.3449,
      0.4769,
      0.6176,
      0.4918,
      0.4142,
      0.3215,
      0.2357,
      0.2347,
      0.314,
      0.4406,
      0.4144,
      0.1537,
      0.4409,
      0.2881,
      0.3627,
      0.2665,
      0.4175,
      0.433,
      0.3164,
      0.5686,
      0.2194,
      0,
      0,
      0,
      0,
      0,
      0.4264,
      0.439,
      0.366,
      0.4383,
      0.3444,
      0.3449,
      0.4312,
      0.1606,
      0.2227,
      0.2725,
      0.2108,
      0.239,
      0.2206,
      0.2137,
      0.3085,
      0.2531,
      0.5511,
      0.4328,
      0.3878,
      0.4722,
      0.3769,
      0.4395,
      0.4041,
      0.3667,
      0.5246,
      0.3848,
      0.4736,
      0.6153,
      0.5473,
      0.612,
      0.3506,
      0.2895,
      0.3005,
      0.3511,
      0.4025,
      0.2611,
      0.4264,
      0.461,
      0.4171,
      0.3525,
      0.3448,
      0.4174,
      0.4419,
      0.3729,
      0.4621,
      0.3088,
      0.444,
      0.4088,
      0.603,
      0.4172,
      0.6411,
      0.4561,
      0.5102,
      0.5022,
      0.3828,
      0.4179,
      0.485,
      0.4634,
      0.4159,
      0.4466,
      0.5094,
      0.5576,
      0.4349,
      0.4141,
      0.4365,
      0.4195,
      0.4555,
      0.4286,
      0.4514,
      0.4992,
      0.47,
      0.4168,
      0.5513,
      0.4905,
      0.4669,
      0.3879,
      0.6278,
      0.4827,
      0.4409,
      0.3094,
      0.4769,
      0.3996,
      0.5626,
      0.4831,
      0.4609,
      0.5223,
      0.3346,
      0.4392,
      0.4838,
      0.6262,
      0.4803,
      0.5822,
      0.4332,
      0.4876,
      0.6449,
      0.7021,
      0.542,
      0.5827,
      0.5024,
      0.6266,
      0.507,
      0.4941,
      0.5957,
      0.353,
      0.5953,
      0.3993,
      0.5244,
      0.6539,
      0.5141,
      0.4459,
      0.6242,
      0.457,
      0.6409,
      0.5812,
      0.4558,
      0.5161,
      0.4022,
      0.4512,
      0.4929,
      0.4291,
      0.4091,
      0.3873,
      0.4471,
      0.4323,
      0.4923,
      0.3866,
      0.6194,
      0.3511,
      0.4122,
      0.3643,
      0.2633,
      0.4301,
      0.491,
      0.3603,
      0.4403,
      0.5359,
      0.413,
      0.2595,
      0.2389,
      0.3468,
      0.4739,
      0.3542,
      0.5041,
      0.2715,
      0.509,
      0.4233,
      0.6226,
      0.4139,
      0.5994,
      0.4486,
      0.4625,
      0.4998,
      0.3007,
      0.2912,
      0.3543,
      0.5118,
      0.3532,
      0.3001,
      0.5024,
      0.418,
      0.4721,
      0.3822,
      0.4965,
      0.5477,
      0.3606,
      0.4538,
      0.4014,
      0.3733,
      0.4423,
      0.4564,
      0.3653,
      0.5104,
      0.4306,
      0.3825,
      0.3905,
      0.467,
      0.3636,
      0.2948,
      0.3192,
      0.3838,
      0.5497,
      0.5018,
      0.4073,
      0.4957,
      0.3689,
      0.4498,
      0.4756,
      0.5657,
      0.4731,
      0.5648,
      0.4547,
      0.4596,
      0.5754,
      0.6824,
      0.5401,
      0.6018,
      0.4502,
      0.624,
      0.4765,
      0.4388,
      0.6042,
      0.437,
      0.5767,
      0.5345,
      0.4667,
      0.6483,
      0.5274,
      0.4547,
      0.526,
      0.4512,
      0.6325,
      0.5383,
      0.4596,
      0.4217,
      0.4345,
      0.5008,
      0.3722,
      0.4384,
      0.4874,
      0.4051,
      0.4368,
      0.424,
      0.4112,
      0.5296,
      0.4732,
      0.5188,
      0.3173,
      0.4568,
      0.3447,
      0.3381,
      0.4175,
      0.3091,
      0.464,
      0.4115,
      0.4057,
      0.4668,
      0.31,
      0.4278,
      0.3554,
      0.3042,
      0.4951,
      0.33,
      0.4848,
      0.3953,
      0.5859,
      0.4708,
      0.5823,
      0.4902,
      0.5111,
      0.5964,
      0.4058,
      0.5583,
      0.5236,
      0.4614,
      0.5716,
      0.5144,
      0.4814,
      0.5589,
      0.4392,
      0.6157,
      0.5002,
      0.5529,
      0.5881,
      0.5344,
      0.4976,
      0.5495,
      0.4511,
      0.5027,
      0.5537,
      0.6474,
      0.5595,
      0.6255,
      0.5023,
      0.4812,
      0.2882,
      0.5326,
      0.6126,
      0.6074,
      0.3706,
      0.2609,
      0.2731,
      0.2806,
      0.325,
      0.3856,
      0.383,
      0.2072,
      0.3828,
      0.2734,
      0.331,
      0.3959,
      0.4349,
      0.5366,
      0.2815,
      0.5447,
      0.1635,
      0,
      0,
      0,
      0,
      0,
      0.3573,
      0.3698,
      0.3052,
      0.3178,
      0.2703,
      0.2249,
      0.3144,
      0.191,
      0.2326,
      0.305,
      0.3541,
      0.3615,
      0.2933,
      0.2649,
      0.3653,
      0.2394,
      0.5259,
      0.4187,
      0.349,
      0.4972,
      0.3298,
      0.3531,
      0.3286,
      0.3637,
      0.4517,
      0.4671,
      0.4528,
      0.5027,
      0.5259,
      0.4701,
      0.3697,
      0.3901,
      0.3518,
      0.2922,
      0.4093,
      0.246,
      0.4346,
      0.5452,
      0.3985,
      0.3635,
      0.311,
      0.4796,
      0.4121,
      0.423,
      0.4364,
      0.4153,
      0.5305,
      0.4923,
      0.5352,
      0.4247,
      0.5596,
      0.4346,
      0.5229,
      0.3833,
      0.3532,
      0.3576,
      0.4346,
      0.3431,
      0.4073,
      0.5296,
      0.5442,
      0.515,
      0.4235,
      0.4459,
      0.3603,
      0.4599,
      0.422,
      0.3845,
      0.3701,
      0.4591,
      0.4289,
      0.3384,
      0.4841,
      0.4844,
      0.4785,
      0.4705,
      0.5891,
      0.442,
      0.4695,
      0.3705,
      0.5107,
      0.4232,
      0.4578,
      0.5498,
      0.4387,
      0.4949,
      0.329,
      0.4589,
      0.5296,
      0.6268,
      0.4905,
      0.5536,
      0.4548,
      0.4889,
      0.551,
      0.6794,
      0.6254,
      0.5937,
      0.4559,
      0.6278,
      0.5413,
      0.5732,
      0.596,
      0.4046,
      0.5525,
      0.5153,
      0.5715,
      0.5229,
      0.4839,
      0.488,
      0.6534,
      0.4565,
      0.5799,
      0.5841,
      0.4613,
      0.4812,
      0.3051,
      0.5046,
      0.5592,
      0.3796,
      0.4492,
      0.4059,
      0.4783,
      0.4407,
      0.5121,
      0.4644,
      0.5329,
      0.4041,
      0.4972,
      0.366,
      0.3656,
      0.3454,
      0.3582,
      0.3453,
      0.4261,
      0.5023,
      0.4655,
      0.3008,
      0.3798,
      0.4215,
      0.4907,
      0.3976,
      0.5202,
      0.3228,
      0.5921,
      0.4518,
      0.6297,
      0.3518,
      0.5491,
      0.3915,
      0.5368,
      0.4352,
      0.3165,
      0.2595,
      0.2535,
      0.5165,
      0.3927,
      0.3189,
      0.4332,
      0.4638,
      0.3908,
      0.3397,
      0.4631,
      0.4946,
      0.3563,
      0.4521,
      0.412,
      0.3531,
      0.3671,
      0.3987,
      0.319,
      0.492,
      0.4762,
      0.4822,
      0.4517,
      0.4949,
      0.401,
      0.3865,
      0.351,
      0.3903,
      0.5157,
      0.5503,
      0.4405,
      0.4837,
      0.3583,
      0.4931,
      0.5317,
      0.6007,
      0.5006,
      0.465,
      0.4811,
      0.5077,
      0.5477,
      0.6676,
      0.57,
      0.6365,
      0.4537,
      0.6053,
      0.5391,
      0.577,
      0.6108,
      0.4397,
      0.4901,
      0.498,
      0.5974,
      0.543,
      0.4958,
      0.5136,
      0.6195,
      0.4549,
      0.5956,
      0.5621,
      0.4802,
      0.3775,
      0.3424,
      0.4246,
      0.3168,
      0.3512,
      0.4051,
      0.3388,
      0.2929,
      0.3901,
      0.3895,
      0.4813,
      0.4947,
      0.5707,
      0.3083,
      0.4749,
      0.3833,
      0.4171,
      0.3857,
      0.453,
      0.3771,
      0.4064,
      0.4531,
      0.4517,
      0.3048,
      0.3936,
      0.445,
      0.3993,
      0.541,
      0.3995,
      0.5248,
      0.4279,
      0.5856,
      0.5064,
      0.5665,
      0.5417,
      0.5635,
      0.5962,
      0.4093,
      0.4536,
      0.4538,
      0.5464,
      0.5221,
      0.4713,
      0.5209,
      0.624,
      0.421,
      0.5094,
      0.5313,
      0.4994,
      0.5814,
      0.5734,
      0.4023,
      0.5709,
      0.4069,
      0.4647,
      0.6221,
      0.5923,
      0.5195,
      0.5751,
      0.5333,
      0.4599,
      0.3122,
      0.4405,
      0.5706,
      0.521,
      0.3957,
      0.3042,
      0.1104,
      0.262,
      0.3267,
      0.3778,
      0.3781,
      0.3096,
      0.2883,
      0.2698,
      0.3143,
      0.2991,
      0.3921,
      0.5127,
      0.2921,
      0.5792,
      0.1387,
      0.003,
      0,
      0,
      0,
      0,
      0.3263,
      0.3273,
      0.3377,
      0.2953,
      0.2897,
      0.2529,
      0.2591,
      0.2383,
      0.2676,
      0.2086,
      0.1511,
      0.1466,
      0.1543,
      0.2067,
      0.2937,
      0.1867,
      0.5494,
      0.5661,
      0.619,
      0.6111,
      0.3695,
      0.3674,
      0.3227,
      0.3888,
      0.4779,
      0.4712,
      0.4401,
      0.4323,
      0.545,
      0.3337,
      0.3836,
      0.4668,
      0.3564,
      0.4967,
      0.4394,
      0.3364,
      0.3733,
      0.5224,
      0.4235,
      0.4763,
      0.4121,
      0.5365,
      0.3802,
      0.296,
      0.5073,
      0.2552,
      0.6157,
      0.3261,
      0.5989,
      0.4078,
      0.5382,
      0.4201,
      0.5009,
      0.4513,
      0.3398,
      0.409,
      0.3194,
      0.4189,
      0.3662,
      0.3641,
      0.4435,
      0.4965,
      0.4236,
      0.5733,
      0.4462,
      0.4223,
      0.5035,
      0.4437,
      0.4792,
      0.4264,
      0.3638,
      0.2276,
      0.3439,
      0.4273,
      0.5335,
      0.4227,
      0.4536,
      0.4055,
      0.4805,
      0.4776,
      0.4749,
      0.3768,
      0.421,
      0.5635,
      0.4407,
      0.432,
      0.3827,
      0.4808,
      0.4106,
      0.5957,
      0.4388,
      0.5262,
      0.4323,
      0.5658,
      0.5306,
      0.6401,
      0.6285,
      0.607,
      0.458,
      0.55,
      0.4452,
      0.5081,
      0.5626,
      0.3732,
      0.4444,
      0.5385,
      0.4954,
      0.6064,
      0.4973,
      0.4676,
      0.6222,
      0.4221,
      0.5562,
      0.4417,
      0.4585,
      0.4174,
      0.4021,
      0.5464,
      0.4503,
      0.289,
      0.364,
      0.3508,
      0.4804,
      0.3516,
      0.5495,
      0.4673,
      0.5694,
      0.4498,
      0.4325,
      0.415,
      0.3581,
      0.3294,
      0.3928,
      0.4528,
      0.4239,
      0.4357,
      0.4901,
      0.3772,
      0.3798,
      0.4237,
      0.4242,
      0.3997,
      0.4797,
      0.3863,
      0.6234,
      0.3409,
      0.6209,
      0.4093,
      0.5616,
      0.3866,
      0.4961,
      0.4295,
      0.3046,
      0.2882,
      0.3668,
      0.4875,
      0.4735,
      0.3116,
      0.4554,
      0.3368,
      0.4779,
      0.3861,
      0.4328,
      0.5245,
      0.378,
      0.3369,
      0.4061,
      0.3817,
      0.3282,
      0.3966,
      0.3135,
      0.4484,
      0.4486,
      0.4229,
      0.5083,
      0.4208,
      0.4104,
      0.3967,
      0.4472,
      0.3414,
      0.4351,
      0.5543,
      0.4695,
      0.4572,
      0.3802,
      0.4889,
      0.5115,
      0.5884,
      0.4565,
      0.4625,
      0.4712,
      0.5525,
      0.568,
      0.6241,
      0.5971,
      0.6243,
      0.4461,
      0.5635,
      0.448,
      0.5105,
      0.5756,
      0.443,
      0.4995,
      0.5288,
      0.5764,
      0.5551,
      0.5018,
      0.426,
      0.5776,
      0.4055,
      0.5898,
      0.4831,
      0.4181,
      0.3118,
      0.2857,
      0.3642,
      0.3354,
      0.2664,
      0.4606,
      0.3136,
      0.2803,
      0.2623,
      0.3989,
      0.537,
      0.3294,
      0.5654,
      0.2912,
      0.4597,
      0.3421,
      0.3653,
      0.4143,
      0.4175,
      0.3325,
      0.4419,
      0.4486,
      0.4653,
      0.315,
      0.3595,
      0.3606,
      0.3679,
      0.561,
      0.3989,
      0.6101,
      0.4594,
      0.5772,
      0.4888,
      0.5173,
      0.4625,
      0.5167,
      0.5389,
      0.4095,
      0.4698,
      0.5446,
      0.4946,
      0.4903,
      0.4691,
      0.4138,
      0.5906,
      0.4073,
      0.5396,
      0.4303,
      0.4275,
      0.5827,
      0.5147,
      0.421,
      0.558,
      0.384,
      0.407,
      0.6139,
      0.5264,
      0.5862,
      0.5937,
      0.423,
      0.4683,
      0.3086,
      0.5129,
      0.6137,
      0.4702,
      0.3776,
      0.2973,
      0.2458,
      0.2768,
      0.3589,
      0.4229,
      0.4946,
      0.3117,
      0.3112,
      0.3106,
      0.3718,
      0.302,
      0.3142,
      0.5466,
      0.3196,
      0.5179,
      0.1297,
      0,
      0,
      0,
      0,
      0,
      0.3728,
      0.426,
      0.3891,
      0.3898,
      0.3813,
      0.4121,
      0.4094,
      0.239,
      0.2457,
      0.2172,
      0.2373,
      0.271,
      0.1563,
      0.1821,
      0.2138,
      0.227,
      0.5054,
      0.6385,
      0.4009,
      0.445,
      0.3324,
      0.5031,
      0.5084,
      0.4662,
      0.5028,
      0.5433,
      0.4692,
      0.3951,
      0.4926,
      0.3892,
      0.4883,
      0.3741,
      0.3372,
      0.5067,
      0.4597,
      0.3244,
      0.412,
      0.5367,
      0.509,
      0.4613,
      0.4088,
      0.5661,
      0.4771,
      0.4398,
      0.4812,
      0.3697,
      0.6221,
      0.4129,
      0.6366,
      0.3783,
      0.5713,
      0.4352,
      0.4559,
      0.4302,
      0.4076,
      0.3901,
      0.3877,
      0.4316,
      0.298,
      0.3018,
      0.3709,
      0.5672,
      0.428,
      0.5397,
      0.5771,
      0.4659,
      0.5362,
      0.549,
      0.5387,
      0.4303,
      0.3775,
      0.3261,
      0.3708,
      0.3929,
      0.5687,
      0.4463,
      0.4832,
      0.3669,
      0.4687,
      0.402,
      0.3802,
      0.3665,
      0.4781,
      0.5577,
      0.473,
      0.4809,
      0.2805,
      0.4124,
      0.4395,
      0.6355,
      0.5225,
      0.6405,
      0.4001,
      0.4608,
      0.5203,
      0.6242,
      0.6079,
      0.6416,
      0.4747,
      0.6073,
      0.4951,
      0.5282,
      0.5477,
      0.3389,
      0.5697,
      0.6365,
      0.5855,
      0.5827,
      0.4388,
      0.4569,
      0.5703,
      0.4046,
      0.553,
      0.4274,
      0.493,
      0.3606,
      0.4408,
      0.4583,
      0.4454,
      0.544,
      0.3745,
      0.3937,
      0.4706,
      0.4796,
      0.5094,
      0.5803,
      0.522,
      0.3638,
      0.3038,
      0.3198,
      0.3665,
      0.3836,
      0.3731,
      0.5499,
      0.3703,
      0.5193,
      0.514,
      0.5806,
      0.4753,
      0.4447,
      0.4086,
      0.6042,
      0.5289,
      0.2984,
      0.6186,
      0.4259,
      0.6196,
      0.3735,
      0.627,
      0.4292,
      0.4983,
      0.3951,
      0.3788,
      0.3392,
      0.3743,
      0.4263,
      0.4398,
      0.3509,
      0.5059,
      0.4172,
      0.5314,
      0.3787,
      0.4073,
      0.5078,
      0.3112,
      0.2609,
      0.4941,
      0.3739,
      0.4462,
      0.3757,
      0.3268,
      0.3473,
      0.4727,
      0.3777,
      0.3638,
      0.5278,
      0.3568,
      0.3191,
      0.2715,
      0.3486,
      0.48,
      0.547,
      0.4659,
      0.5152,
      0.3247,
      0.5206,
      0.407,
      0.6326,
      0.5208,
      0.6681,
      0.4135,
      0.5153,
      0.4798,
      0.5958,
      0.5823,
      0.669,
      0.4379,
      0.5837,
      0.4638,
      0.508,
      0.5693,
      0.4013,
      0.5353,
      0.6068,
      0.6066,
      0.5812,
      0.4944,
      0.4932,
      0.5971,
      0.4137,
      0.5334,
      0.4531,
      0.4965,
      0.296,
      0.3388,
      0.3856,
      0.3206,
      0.3409,
      0.5246,
      0.4138,
      0.2494,
      0.3034,
      0.392,
      0.5168,
      0.3689,
      0.522,
      0.2957,
      0.4465,
      0.3767,
      0.3327,
      0.3369,
      0.3114,
      0.4481,
      0.32,
      0.4519,
      0.4079,
      0.3617,
      0.4019,
      0.3671,
      0.4473,
      0.5449,
      0.4066,
      0.6229,
      0.4063,
      0.6252,
      0.4407,
      0.57,
      0.4784,
      0.479,
      0.5558,
      0.3861,
      0.5401,
      0.5982,
      0.5765,
      0.5479,
      0.497,
      0.5235,
      0.6305,
      0.4195,
      0.5281,
      0.3991,
      0.4892,
      0.5577,
      0.4703,
      0.4045,
      0.5958,
      0.4465,
      0.4163,
      0.62,
      0.5572,
      0.5899,
      0.6444,
      0.4443,
      0.505,
      0.295,
      0.5145,
      0.6223,
      0.4013,
      0.4312,
      0.2199,
      0.2943,
      0.2531,
      0.3132,
      0.2501,
      0.3552,
      0.3032,
      0.2941,
      0.3076,
      0.2263,
      0.3912,
      0.4134,
      0.6226,
      0.2894,
      0.595,
      0.0865,
      0,
      0,
      0,
      0,
      0,
      0.299,
      0.2882,
      0.2822,
      0.3185,
      0.294,
      0.248,
      0.2749,
      0.3904,
      0.3019,
      0.2875,
      0.3204,
      0.2175,
      0.2827,
      0.331,
      0.2677,
      0.2454,
      0.4549,
      0.4748,
      0.3461,
      0.4761,
      0.3159,
      0.703,
      0.5058,
      0.6921,
      0.4232,
      0.4974,
      0.4835,
      0.4778,
      0.5685,
      0.4274,
      0.6416,
      0.3305,
      0.243,
      0.4435,
      0.4396,
      0.421,
      0.4937,
      0.5677,
      0.6046,
      0.4418,
      0.463,
      0.4398,
      0.5281,
      0.5403,
      0.5342,
      0.3412,
      0.6201,
      0.507,
      0.5965,
      0.332,
      0.5792,
      0.529,
      0.4905,
      0.4033,
      0.3305,
      0.341,
      0.3915,
      0.4244,
      0.2627,
      0.3947,
      0.3785,
      0.5596,
      0.4124,
      0.4615,
      0.605,
      0.3959,
      0.4087,
      0.4939,
      0.5304,
      0.4333,
      0.3128,
      0.3093,
      0.31,
      0.4261,
      0.563,
      0.4038,
      0.5124,
      0.3371,
      0.3675,
      0.4995,
      0.4081,
      0.3903,
      0.5575,
      0.5328,
      0.529,
      0.5206,
      0.3804,
      0.4301,
      0.5355,
      0.6135,
      0.5199,
      0.6131,
      0.4502,
      0.5564,
      0.6249,
      0.6857,
      0.6038,
      0.6216,
      0.5001,
      0.5943,
      0.5494,
      0.5045,
      0.4882,
      0.4039,
      0.5447,
      0.6766,
      0.5294,
      0.6053,
      0.5266,
      0.5405,
      0.6568,
      0.4155,
      0.5667,
      0.4361,
      0.4146,
      0.3474,
      0.4656,
      0.4101,
      0.4949,
      0.3648,
      0.3973,
      0.3268,
      0.4262,
      0.4414,
      0.4857,
      0.504,
      0.5041,
      0.4042,
      0.4151,
      0.3203,
      0.2856,
      0.2897,
      0.4167,
      0.5181,
      0.4031,
      0.4016,
      0.5244,
      0.5052,
      0.3331,
      0.3783,
      0.4462,
      0.6032,
      0.5314,
      0.2902,
      0.5623,
      0.4861,
      0.5957,
      0.3086,
      0.5958,
      0.4312,
      0.4985,
      0.3269,
      0.4154,
      0.3096,
      0.4267,
      0.4171,
      0.3883,
      0.3904,
      0.5019,
      0.4588,
      0.4427,
      0.54,
      0.4198,
      0.4188,
      0.3076,
      0.3453,
      0.3285,
      0.3407,
      0.464,
      0.3714,
      0.411,
      0.4805,
      0.4095,
      0.3978,
      0.3604,
      0.5224,
      0.3637,
      0.408,
      0.4339,
      0.3703,
      0.5567,
      0.5446,
      0.5192,
      0.5273,
      0.3451,
      0.5269,
      0.5048,
      0.5634,
      0.5151,
      0.6291,
      0.4544,
      0.5348,
      0.5507,
      0.6498,
      0.5477,
      0.6163,
      0.4839,
      0.6196,
      0.5361,
      0.5052,
      0.5319,
      0.4334,
      0.5543,
      0.6581,
      0.5648,
      0.594,
      0.4676,
      0.5138,
      0.6004,
      0.4383,
      0.581,
      0.4188,
      0.4524,
      0.3193,
      0.2223,
      0.3712,
      0.2773,
      0.2821,
      0.3845,
      0.3767,
      0.3714,
      0.3409,
      0.3843,
      0.4687,
      0.3411,
      0.5082,
      0.3716,
      0.4381,
      0.5069,
      0.3551,
      0.4088,
      0.3105,
      0.4474,
      0.3836,
      0.4748,
      0.4047,
      0.3206,
      0.4602,
      0.3923,
      0.3763,
      0.5325,
      0.4069,
      0.5678,
      0.4115,
      0.5935,
      0.4112,
      0.6069,
      0.5083,
      0.5068,
      0.5195,
      0.3747,
      0.5044,
      0.6394,
      0.5111,
      0.5258,
      0.5307,
      0.5145,
      0.6074,
      0.4223,
      0.59,
      0.4315,
      0.4647,
      0.6186,
      0.5164,
      0.4831,
      0.5713,
      0.4593,
      0.4557,
      0.4925,
      0.6083,
      0.5874,
      0.6679,
      0.457,
      0.5385,
      0.2916,
      0.5248,
      0.6058,
      0.482,
      0.4827,
      0.2474,
      0.2075,
      0.2469,
      0.2435,
      0.3663,
      0.3379,
      0.2803,
      0.3187,
      0.3134,
      0.143,
      0.4276,
      0.3729,
      0.5356,
      0.1759,
      0.5804,
      0.0787,
      0,
      0,
      0,
      0,
      0,
      0.3126,
      0.2777,
      0.3036,
      0.3249,
      0.2279,
      0.1632,
      0.2106,
      0.3487,
      0.3291,
      0.2968,
      0.2472,
      0.2724,
      0.2544,
      0.273,
      0.2938,
      0.2954,
      0.4819,
      0.3917,
      0.4186,
      0.4791,
      0.3282,
      0.5675,
      0.3636,
      0.5433,
      0.458,
      0.3917,
      0.5171,
      0.4071,
      0.4892,
      0.3398,
      0.5903,
      0.3663,
      0.3494,
      0.3502,
      0.4498,
      0.3849,
      0.4181,
      0.5358,
      0.5346,
      0.47,
      0.3812,
      0.3304,
      0.4844,
      0.4538,
      0.4863,
      0.3423,
      0.5355,
      0.5229,
      0.5806,
      0.4144,
      0.5971,
      0.5189,
      0.5002,
      0.387,
      0.2678,
      0.3143,
      0.3178,
      0.3618,
      0.4014,
      0.3315,
      0.4473,
      0.5487,
      0.4275,
      0.4545,
      0.4642,
      0.4924,
      0.278,
      0.3824,
      0.3965,
      0.4335,
      0.2999,
      0.2885,
      0.3517,
      0.3839,
      0.4956,
      0.4453,
      0.465,
      0.4058,
      0.4394,
      0.38,
      0.4038,
      0.3654,
      0.5709,
      0.4694,
      0.4857,
      0.5049,
      0.3034,
      0.5118,
      0.4049,
      0.568,
      0.3944,
      0.5672,
      0.4686,
      0.5468,
      0.6632,
      0.6977,
      0.6084,
      0.6143,
      0.4995,
      0.6225,
      0.4732,
      0.4212,
      0.4953,
      0.2777,
      0.5539,
      0.4773,
      0.5357,
      0.6144,
      0.5594,
      0.4818,
      0.5681,
      0.3628,
      0.4604,
      0.4006,
      0.4863,
      0.393,
      0.4273,
      0.2142,
      0.4563,
      0.3521,
      0.3782,
      0.2849,
      0.4098,
      0.4184,
      0.5015,
      0.4339,
      0.5165,
      0.4092,
      0.3375,
      0.3393,
      0.3166,
      0.3414,
      0.4458,
      0.2615,
      0.4023,
      0.4871,
      0.4887,
      0.3806,
      0.3339,
      0.3206,
      0.4058,
      0.3819,
      0.532,
      0.3721,
      0.5579,
      0.4843,
      0.5799,
      0.3681,
      0.5415,
      0.4331,
      0.491,
      0.3438,
      0.3402,
      0.366,
      0.4107,
      0.4556,
      0.358,
      0.3316,
      0.4381,
      0.3977,
      0.3574,
      0.6144,
      0.376,
      0.4004,
      0.3951,
      0.332,
      0.346,
      0.2442,
      0.4039,
      0.3524,
      0.3325,
      0.4538,
      0.3665,
      0.4492,
      0.3883,
      0.5367,
      0.3656,
      0.4201,
      0.4167,
      0.3769,
      0.5662,
      0.5067,
      0.4891,
      0.4986,
      0.3413,
      0.5218,
      0.4501,
      0.6153,
      0.3963,
      0.5657,
      0.4356,
      0.5567,
      0.5418,
      0.6938,
      0.5273,
      0.6312,
      0.4643,
      0.6036,
      0.3866,
      0.4539,
      0.4885,
      0.3611,
      0.5446,
      0.5045,
      0.5399,
      0.6094,
      0.5566,
      0.5135,
      0.4988,
      0.3846,
      0.5354,
      0.4044,
      0.5016,
      0.2756,
      0.1038,
      0.3885,
      0.2663,
      0.2238,
      0.3747,
      0.352,
      0.328,
      0.3268,
      0.3414,
      0.4746,
      0.4126,
      0.4995,
      0.3872,
      0.4664,
      0.3725,
      0.3475,
      0.3384,
      0.2081,
      0.3501,
      0.3447,
      0.4369,
      0.4205,
      0.2979,
      0.3091,
      0.3558,
      0.3663,
      0.5189,
      0.3523,
      0.5519,
      0.4816,
      0.5937,
      0.3413,
      0.5614,
      0.4475,
      0.4577,
      0.4735,
      0.2842,
      0.5701,
      0.4699,
      0.5038,
      0.4738,
      0.512,
      0.4798,
      0.4537,
      0.3167,
      0.541,
      0.3746,
      0.4836,
      0.4208,
      0.5159,
      0.4818,
      0.5304,
      0.3779,
      0.4619,
      0.5161,
      0.6043,
      0.5562,
      0.594,
      0.4104,
      0.404,
      0.3698,
      0.5219,
      0.5167,
      0.5553,
      0.2595,
      0.2022,
      0.1025,
      0.2299,
      0.2584,
      0.2965,
      0.353,
      0.2879,
      0.317,
      0.3183,
      0.2889,
      0.321,
      0.3608,
      0.4863,
      0.2729,
      0.6143,
      0.0899,
      0,
      0,
      0,
      0,
      0,
      0.3295,
      0.2702,
      0.3207,
      0.2992,
      0.2136,
      0.217,
      0.2889,
      0.2024,
      0.265,
      0.2204,
      0.2424,
      0.2266,
      0.1995,
      0.2287,
      0.29,
      0.227,
      0.5715,
      0.3871,
      0.389,
      0.4426,
      0.3057,
      0.471,
      0.3449,
      0.4075,
      0.4284,
      0.4238,
      0.5091,
      0.4281,
      0.5073,
      0.3818,
      0.3719,
      0.2127,
      0.3317,
      0.3812,
      0.441,
      0.3776,
      0.4244,
      0.5617,
      0.4687,
      0.3714,
      0.2886,
      0.3745,
      0.4705,
      0.4411,
      0.478,
      0.3178,
      0.5154,
      0.401,
      0.5885,
      0.4911,
      0.5251,
      0.4973,
      0.5256,
      0.3856,
      0.2617,
      0.2361,
      0.3642,
      0.3508,
      0.3272,
      0.39,
      0.4116,
      0.5243,
      0.4534,
      0.3712,
      0.4182,
      0.4904,
      0.3334,
      0.3525,
      0.3982,
      0.414,
      0.3173,
      0.2788,
      0.3803,
      0.2867,
      0.5188,
      0.4866,
      0.5882,
      0.36,
      0.502,
      0.3307,
      0.2954,
      0.399,
      0.5171,
      0.5727,
      0.489,
      0.4919,
      0.3199,
      0.453,
      0.4826,
      0.5981,
      0.4392,
      0.5838,
      0.4516,
      0.5051,
      0.6458,
      0.6731,
      0.5272,
      0.618,
      0.3454,
      0.6077,
      0.4429,
      0.4832,
      0.4501,
      0.3314,
      0.5376,
      0.4775,
      0.5106,
      0.5052,
      0.5492,
      0.5177,
      0.5095,
      0.4313,
      0.5607,
      0.3642,
      0.4931,
      0.3831,
      0.4432,
      0.2312,
      0.5707,
      0.3645,
      0.2424,
      0.3183,
      0.3684,
      0.443,
      0.4357,
      0.4262,
      0.5628,
      0.4545,
      0.3438,
      0.4316,
      0.2793,
      0.4328,
      0.5525,
      0.2946,
      0.3633,
      0.5159,
      0.4426,
      0.3249,
      0.3195,
      0.2502,
      0.3671,
      0.3916,
      0.5445,
      0.373,
      0.5466,
      0.4114,
      0.61,
      0.3792,
      0.4831,
      0.281,
      0.4999,
      0.3596,
      0.2616,
      0.2304,
      0.3694,
      0.3754,
      0.3267,
      0.3657,
      0.4485,
      0.4423,
      0.3693,
      0.5259,
      0.523,
      0.4656,
      0.5078,
      0.3962,
      0.3711,
      0.3086,
      0.3822,
      0.4005,
      0.319,
      0.3742,
      0.4303,
      0.4732,
      0.4353,
      0.508,
      0.3674,
      0.2705,
      0.3305,
      0.3887,
      0.4399,
      0.558,
      0.4838,
      0.4425,
      0.3094,
      0.4346,
      0.4856,
      0.6064,
      0.4798,
      0.5765,
      0.4342,
      0.5569,
      0.5195,
      0.6796,
      0.5279,
      0.6508,
      0.4186,
      0.597,
      0.437,
      0.4623,
      0.4746,
      0.376,
      0.5455,
      0.4952,
      0.5331,
      0.5537,
      0.5333,
      0.5124,
      0.5201,
      0.4132,
      0.6017,
      0.3747,
      0.4943,
      0.3231,
      0.1529,
      0.3309,
      0.294,
      0.2743,
      0.5203,
      0.3204,
      0.2944,
      0.3292,
      0.3797,
      0.4559,
      0.3296,
      0.4958,
      0.306,
      0.494,
      0.3577,
      0.4155,
      0.2956,
      0.2982,
      0.4355,
      0.4016,
      0.5075,
      0.3836,
      0.3052,
      0.3768,
      0.4514,
      0.5267,
      0.5219,
      0.3934,
      0.5892,
      0.4316,
      0.6116,
      0.4361,
      0.6005,
      0.5011,
      0.4885,
      0.4384,
      0.3173,
      0.5455,
      0.4856,
      0.4839,
      0.4914,
      0.4892,
      0.4714,
      0.5596,
      0.4241,
      0.56,
      0.3817,
      0.5327,
      0.4727,
      0.5196,
      0.4902,
      0.5113,
      0.3763,
      0.4589,
      0.418,
      0.6695,
      0.4823,
      0.5726,
      0.4777,
      0.4482,
      0.3334,
      0.4928,
      0.573,
      0.6275,
      0.3146,
      0.145,
      0.1791,
      0.2382,
      0.2453,
      0.3394,
      0.3268,
      0.214,
      0.2701,
      0.3043,
      0.1497,
      0.4126,
      0.2921,
      0.5565,
      0.3087,
      0.5668,
      0.0994,
      0,
      0,
      0,
      0,
      0,
      0.3845,
      0.308,
      0.3397,
      0.3057,
      0.203,
      0.1648,
      0.2675,
      0.1248,
      0.1916,
      0.2578,
      0.2466,
      0.2307,
      0.254,
      0.2441,
      0.33,
      0.2534,
      0.5126,
      0.3295,
      0.4108,
      0.3473,
      0.2898,
      0.449,
      0.3052,
      0.351,
      0.4381,
      0.4647,
      0.4406,
      0.5254,
      0.4791,
      0.4697,
      0.3482,
      0.2382,
      0.2688,
      0.381,
      0.471,
      0.2538,
      0.4389,
      0.5629,
      0.4485,
      0.3803,
      0.343,
      0.3579,
      0.4383,
      0.292,
      0.5559,
      0.2096,
      0.5084,
      0.4054,
      0.555,
      0.5434,
      0.5579,
      0.4367,
      0.4885,
      0.3949,
      0.2625,
      0.3015,
      0.3414,
      0.3319,
      0.2829,
      0.3684,
      0.4683,
      0.629,
      0.4658,
      0.3602,
      0.4507,
      0.5126,
      0.3063,
      0.3363,
      0.2389,
      0.4025,
      0.2514,
      0.1572,
      0.4269,
      0.4254,
      0.5011,
      0.425,
      0.6108,
      0.4751,
      0.4191,
      0.3545,
      0.3985,
      0.2761,
      0.4702,
      0.4631,
      0.4832,
      0.4365,
      0.2909,
      0.4213,
      0.4745,
      0.507,
      0.3924,
      0.4918,
      0.388,
      0.4301,
      0.632,
      0.6752,
      0.5608,
      0.5451,
      0.4654,
      0.6031,
      0.4354,
      0.5241,
      0.4186,
      0.2891,
      0.5225,
      0.4346,
      0.5338,
      0.6033,
      0.5344,
      0.4995,
      0.4981,
      0.3702,
      0.6032,
      0.4952,
      0.4943,
      0.3993,
      0.3651,
      0.2604,
      0.5275,
      0.302,
      0.4155,
      0.3906,
      0.4538,
      0.465,
      0.476,
      0.3778,
      0.5834,
      0.4325,
      0.3545,
      0.4192,
      0.2456,
      0.2837,
      0.5786,
      0.2834,
      0.3993,
      0.4702,
      0.4717,
      0.4011,
      0.3144,
      0.3459,
      0.4371,
      0.3327,
      0.4469,
      0.2096,
      0.5182,
      0.4412,
      0.5418,
      0.406,
      0.5536,
      0.2271,
      0.5259,
      0.3505,
      0.1763,
      0.1722,
      0.3923,
      0.4084,
      0.3661,
      0.3762,
      0.4703,
      0.4085,
      0.3863,
      0.4042,
      0.5056,
      0.4326,
      0.3186,
      0.4049,
      0.347,
      0.3095,
      0.3157,
      0.3856,
      0.3845,
      0.378,
      0.456,
      0.4322,
      0.4396,
      0.5281,
      0.3711,
      0.2763,
      0.2957,
      0.4013,
      0.4642,
      0.4808,
      0.4637,
      0.4832,
      0.2616,
      0.4579,
      0.5044,
      0.4663,
      0.4181,
      0.5378,
      0.4085,
      0.4436,
      0.5125,
      0.7132,
      0.5133,
      0.5507,
      0.4043,
      0.5858,
      0.4616,
      0.5095,
      0.4102,
      0.3411,
      0.5217,
      0.4417,
      0.4987,
      0.5888,
      0.5276,
      0.4706,
      0.5553,
      0.4061,
      0.6169,
      0.4487,
      0.4884,
      0.304,
      0.2268,
      0.3446,
      0.36,
      0.2763,
      0.5791,
      0.2791,
      0.3004,
      0.3064,
      0.3864,
      0.4351,
      0.2499,
      0.4504,
      0.3048,
      0.4422,
      0.3436,
      0.3674,
      0.3222,
      0.3304,
      0.421,
      0.3939,
      0.369,
      0.3935,
      0.3451,
      0.3715,
      0.413,
      0.455,
      0.4606,
      0.3285,
      0.5091,
      0.472,
      0.5305,
      0.4487,
      0.5412,
      0.4456,
      0.5018,
      0.3905,
      0.3345,
      0.5739,
      0.4415,
      0.485,
      0.5202,
      0.5127,
      0.4768,
      0.5245,
      0.4222,
      0.5674,
      0.4333,
      0.4882,
      0.5221,
      0.4749,
      0.4561,
      0.5503,
      0.3583,
      0.4327,
      0.4927,
      0.6267,
      0.4707,
      0.5656,
      0.4396,
      0.4599,
      0.3087,
      0.5592,
      0.5924,
      0.4783,
      0.3262,
      0.1813,
      0.1141,
      0.1958,
      0.1968,
      0.3365,
      0.3462,
      0.2758,
      0.2845,
      0.3608,
      0.1949,
      0.4312,
      0.3184,
      0.5062,
      0.3504,
      0.511,
      0.0836,
      0,
      0,
      0,
      0,
      0,
      0.3631,
      0.289,
      0.2806,
      0.2581,
      0.3373,
      0.227,
      0.2281,
      0.1291,
      0.22,
      0.304,
      0.3339,
      0.3223,
      0.319,
      0.2724,
      0.3443,
      0.3277,
      0.6028,
      0.3918,
      0.3805,
      0.5866,
      0.3585,
      0.3448,
      0.3118,
      0.3296,
      0.4695,
      0.4031,
      0.4402,
      0.4367,
      0.4929,
      0.405,
      0.3965,
      0.4653,
      0.2674,
      0.3347,
      0.4848,
      0.3247,
      0.4666,
      0.6328,
      0.4415,
      0.3277,
      0.2551,
      0.3505,
      0.3319,
      0.4158,
      0.5188,
      0.2926,
      0.527,
      0.3899,
      0.5767,
      0.4807,
      0.5785,
      0.4654,
      0.5225,
      0.3742,
      0.3367,
      0.2993,
      0.3337,
      0.3857,
      0.3797,
      0.2887,
      0.4175,
      0.5652,
      0.428,
      0.39,
      0.4287,
      0.5242,
      0.3072,
      0.3206,
      0.3087,
      0.3627,
      0.316,
      0.2282,
      0.3624,
      0.4244,
      0.5867,
      0.4473,
      0.4298,
      0.471,
      0.4494,
      0.3953,
      0.2925,
      0.3287,
      0.4264,
      0.5783,
      0.531,
      0.5298,
      0.2912,
      0.4127,
      0.4703,
      0.4655,
      0.4207,
      0.4599,
      0.4022,
      0.5389,
      0.5792,
      0.6121,
      0.5367,
      0.627,
      0.475,
      0.6023,
      0.485,
      0.4978,
      0.4213,
      0.2581,
      0.5807,
      0.3635,
      0.5407,
      0.6134,
      0.5287,
      0.5286,
      0.5817,
      0.4024,
      0.5267,
      0.492,
      0.4402,
      0.3966,
      0.3479,
      0.4913,
      0.5592,
      0.3474,
      0.4852,
      0.4083,
      0.4397,
      0.3748,
      0.4519,
      0.3346,
      0.6172,
      0.4172,
      0.4115,
      0.3845,
      0.3163,
      0.2278,
      0.5831,
      0.3073,
      0.4018,
      0.4789,
      0.5013,
      0.4203,
      0.3034,
      0.4089,
      0.4639,
      0.4245,
      0.4483,
      0.3669,
      0.5656,
      0.3742,
      0.6597,
      0.3709,
      0.5331,
      0.4462,
      0.499,
      0.4137,
      0.2097,
      0.1527,
      0.328,
      0.4297,
      0.3316,
      0.4078,
      0.3651,
      0.3637,
      0.4141,
      0.4448,
      0.46,
      0.4306,
      0.3375,
      0.4172,
      0.3637,
      0.3155,
      0.358,
      0.3478,
      0.2511,
      0.4778,
      0.4143,
      0.458,
      0.6273,
      0.5008,
      0.4072,
      0.3909,
      0.3547,
      0.4099,
      0.4402,
      0.5756,
      0.5391,
      0.5326,
      0.3377,
      0.5061,
      0.5039,
      0.4876,
      0.4351,
      0.4715,
      0.4268,
      0.5008,
      0.4597,
      0.6322,
      0.5169,
      0.6511,
      0.3668,
      0.5794,
      0.4987,
      0.5182,
      0.4778,
      0.3579,
      0.562,
      0.4468,
      0.543,
      0.5923,
      0.5445,
      0.5581,
      0.6017,
      0.4318,
      0.5696,
      0.4595,
      0.4831,
      0.2623,
      0.3192,
      0.3905,
      0.3612,
      0.2701,
      0.3926,
      0.321,
      0.265,
      0.3499,
      0.3992,
      0.376,
      0.3331,
      0.4472,
      0.3096,
      0.4602,
      0.4378,
      0.3098,
      0.4441,
      0.4967,
      0.4276,
      0.4428,
      0.4448,
      0.4159,
      0.335,
      0.4047,
      0.3591,
      0.4069,
      0.4038,
      0.3971,
      0.5491,
      0.5165,
      0.5902,
      0.4484,
      0.5775,
      0.4652,
      0.5111,
      0.4165,
      0.3458,
      0.5471,
      0.4347,
      0.5231,
      0.5269,
      0.5464,
      0.5461,
      0.6295,
      0.4216,
      0.5695,
      0.418,
      0.504,
      0.5146,
      0.5167,
      0.4689,
      0.4577,
      0.3564,
      0.4918,
      0.5056,
      0.5467,
      0.5578,
      0.5444,
      0.4662,
      0.4569,
      0.2686,
      0.5489,
      0.6222,
      0.3822,
      0.2199,
      0.1686,
      0.112,
      0.1948,
      0.2465,
      0.2964,
      0.3262,
      0.2011,
      0.3781,
      0.2916,
      0.3219,
      0.2967,
      0.2832,
      0.563,
      0.4295,
      0.6093,
      0.1173,
      0,
      0,
      0,
      0,
      0,
      0.4573,
      0.3593,
      0.3675,
      0.3058,
      0.3693,
      0.3095,
      0.3263,
      0.3001,
      0.238,
      0.2755,
      0.1811,
      0.2463,
      0.1833,
      0.1574,
      0.1698,
      0.2172,
      0.5475,
      0.5344,
      0.5715,
      0.6955,
      0.4399,
      0.4568,
      0.4114,
      0.3769,
      0.5467,
      0.4839,
      0.445,
      0.444,
      0.5176,
      0.2729,
      0.3279,
      0.5833,
      0.2678,
      0.6416,
      0.4718,
      0.425,
      0.4738,
      0.5463,
      0.4551,
      0.3659,
      0.4064,
      0.3733,
      0.3643,
      0.3685,
      0.5118,
      0.2579,
      0.5188,
      0.4205,
      0.6287,
      0.4936,
      0.6432,
      0.4952,
      0.4046,
      0.4106,
      0.276,
      0.2692,
      0.2713,
      0.4665,
      0.4282,
      0.3684,
      0.3626,
      0.5212,
      0.454,
      0.5779,
      0.3974,
      0.5513,
      0.2973,
      0.4763,
      0.4091,
      0.4332,
      0.4168,
      0.2268,
      0.306,
      0.469,
      0.5655,
      0.3935,
      0.4488,
      0.4751,
      0.4233,
      0.529,
      0.2652,
      0.338,
      0.6012,
      0.5902,
      0.5083,
      0.4549,
      0.4211,
      0.5437,
      0.4461,
      0.5529,
      0.4389,
      0.4772,
      0.368,
      0.4728,
      0.577,
      0.7189,
      0.5341,
      0.5922,
      0.4029,
      0.6538,
      0.5457,
      0.5224,
      0.5495,
      0.3959,
      0.5517,
      0.4878,
      0.5419,
      0.6078,
      0.4806,
      0.4784,
      0.5927,
      0.4092,
      0.561,
      0.5115,
      0.4456,
      0.4103,
      0.4048,
      0.5002,
      0.5202,
      0.4768,
      0.3452,
      0.3753,
      0.4515,
      0.4845,
      0.5308,
      0.4499,
      0.5971,
      0.3784,
      0.3514,
      0.3393,
      0.3976,
      0.3657,
      0.4025,
      0.3365,
      0.4636,
      0.5248,
      0.4885,
      0.4464,
      0.4193,
      0.4543,
      0.5206,
      0.4238,
      0.4507,
      0.3643,
      0.5497,
      0.4559,
      0.5956,
      0.3241,
      0.681,
      0.4019,
      0.5637,
      0.4571,
      0.2661,
      0.3039,
      0.3255,
      0.4136,
      0.3959,
      0.4579,
      0.5372,
      0.4491,
      0.4114,
      0.4098,
      0.4252,
      0.45,
      0.363,
      0.4231,
      0.4492,
      0.4335,
      0.4306,
      0.3598,
      0.3031,
      0.4703,
      0.5217,
      0.4622,
      0.6869,
      0.5365,
      0.3352,
      0.2688,
      0.3483,
      0.4445,
      0.5133,
      0.5868,
      0.5195,
      0.4497,
      0.4159,
      0.5567,
      0.4801,
      0.5756,
      0.4436,
      0.5522,
      0.4143,
      0.4701,
      0.462,
      0.708,
      0.499,
      0.6241,
      0.3621,
      0.66,
      0.5619,
      0.538,
      0.5794,
      0.4287,
      0.5888,
      0.4743,
      0.5523,
      0.6211,
      0.4835,
      0.4562,
      0.5689,
      0.4351,
      0.6348,
      0.5027,
      0.4674,
      0.3529,
      0.4278,
      0.4067,
      0.409,
      0.3711,
      0.4757,
      0.2736,
      0.3624,
      0.2857,
      0.2802,
      0.4103,
      0.2908,
      0.4588,
      0.3113,
      0.4973,
      0.4135,
      0.3971,
      0.4129,
      0.4456,
      0.4306,
      0.3813,
      0.4205,
      0.4012,
      0.4104,
      0.3115,
      0.3172,
      0.3857,
      0.4659,
      0.3022,
      0.4842,
      0.4588,
      0.6276,
      0.357,
      0.6387,
      0.5481,
      0.5157,
      0.5546,
      0.4079,
      0.6082,
      0.4109,
      0.522,
      0.5691,
      0.4515,
      0.4852,
      0.5732,
      0.4601,
      0.5872,
      0.4667,
      0.4282,
      0.4819,
      0.4621,
      0.3586,
      0.65,
      0.4261,
      0.4962,
      0.5827,
      0.5975,
      0.492,
      0.5217,
      0.5281,
      0.5103,
      0.2638,
      0.5484,
      0.5744,
      0.5475,
      0.3016,
      0.1974,
      0.248,
      0.2324,
      0.2632,
      0.3562,
      0.3948,
      0.4079,
      0.3365,
      0.2528,
      0.2537,
      0.3344,
      0.2962,
      0.4746,
      0.2956,
      0.6121,
      0.0918,
      0,
      0,
      0,
      0,
      0,
      0.3614,
      0.2914,
      0.3086,
      0.2408,
      0.233,
      0.2998,
      0.3215,
      0.1155,
      0.2227,
      0.1622,
      0.2343,
      0.1963,
      0.2053,
      0.1114,
      0.1603,
      0.2191,
      0.476,
      0.557,
      0.3907,
      0.49,
      0.325,
      0.5608,
      0.6117,
      0.4109,
      0.5515,
      0.5227,
      0.3994,
      0.3905,
      0.4894,
      0.3386,
      0.4168,
      0.459,
      0.242,
      0.6008,
      0.4974,
      0.3625,
      0.4831,
      0.5807,
      0.4654,
      0.5397,
      0.3791,
      0.3454,
      0.3961,
      0.427,
      0.4372,
      0.3461,
      0.5314,
      0.396,
      0.5694,
      0.4683,
      0.6404,
      0.4985,
      0.5215,
      0.3301,
      0.1505,
      0.3741,
      0.1893,
      0.3628,
      0.4133,
      0.2937,
      0.3923,
      0.6038,
      0.4629,
      0.523,
      0.5601,
      0.5991,
      0.4514,
      0.5719,
      0.3748,
      0.3747,
      0.3141,
      0.3402,
      0.3375,
      0.507,
      0.597,
      0.3338,
      0.4707,
      0.3507,
      0.4185,
      0.5152,
      0.2323,
      0.3862,
      0.5111,
      0.4588,
      0.4721,
      0.4628,
      0.3435,
      0.4891,
      0.4435,
      0.4973,
      0.4674,
      0.5857,
      0.3447,
      0.4844,
      0.5541,
      0.6532,
      0.545,
      0.5748,
      0.4091,
      0.6801,
      0.4341,
      0.5251,
      0.4696,
      0.3734,
      0.5329,
      0.5027,
      0.4997,
      0.6137,
      0.5411,
      0.5241,
      0.5481,
      0.4818,
      0.5867,
      0.4768,
      0.504,
      0.3925,
      0.353,
      0.3938,
      0.5048,
      0.5802,
      0.3453,
      0.4288,
      0.471,
      0.4375,
      0.4937,
      0.3479,
      0.5563,
      0.4877,
      0.3582,
      0.4428,
      0.3896,
      0.3137,
      0.3593,
      0.3634,
      0.4732,
      0.5161,
      0.4753,
      0.6627,
      0.4049,
      0.4386,
      0.3795,
      0.4029,
      0.4679,
      0.2963,
      0.5638,
      0.469,
      0.6265,
      0.3616,
      0.6477,
      0.4023,
      0.6062,
      0.4086,
      0.2985,
      0.2676,
      0.3712,
      0.3847,
      0.5156,
      0.4848,
      0.4464,
      0.4769,
      0.4884,
      0.4215,
      0.4422,
      0.4533,
      0.3719,
      0.3261,
      0.5181,
      0.3854,
      0.4032,
      0.298,
      0.3262,
      0.4776,
      0.5314,
      0.5502,
      0.4655,
      0.3924,
      0.3279,
      0.3236,
      0.3179,
      0.4341,
      0.4885,
      0.4697,
      0.4773,
      0.4855,
      0.3409,
      0.4705,
      0.4594,
      0.5105,
      0.44,
      0.602,
      0.3654,
      0.4816,
      0.4323,
      0.6463,
      0.5185,
      0.6251,
      0.3625,
      0.6776,
      0.4828,
      0.5475,
      0.4805,
      0.4059,
      0.5406,
      0.4562,
      0.5139,
      0.5952,
      0.5145,
      0.4764,
      0.6022,
      0.4778,
      0.6238,
      0.4863,
      0.5123,
      0.2892,
      0.277,
      0.3795,
      0.289,
      0.3145,
      0.5408,
      0.3486,
      0.3069,
      0.2418,
      0.3408,
      0.3422,
      0.3151,
      0.3971,
      0.3267,
      0.4136,
      0.3228,
      0.3575,
      0.4022,
      0.3063,
      0.4351,
      0.42,
      0.4261,
      0.3153,
      0.3532,
      0.3428,
      0.3503,
      0.5179,
      0.4383,
      0.3636,
      0.5245,
      0.4647,
      0.6091,
      0.3369,
      0.6678,
      0.4907,
      0.4914,
      0.4753,
      0.4031,
      0.5011,
      0.4385,
      0.5286,
      0.5801,
      0.4965,
      0.4701,
      0.6212,
      0.449,
      0.5682,
      0.4177,
      0.4911,
      0.4559,
      0.4299,
      0.3211,
      0.5554,
      0.4437,
      0.49,
      0.5575,
      0.6038,
      0.5588,
      0.4924,
      0.4347,
      0.4774,
      0.2167,
      0.6422,
      0.5737,
      0.5017,
      0.3418,
      0.2056,
      0.1997,
      0.2068,
      0.295,
      0.3448,
      0.3195,
      0.3358,
      0.324,
      0.2736,
      0.315,
      0.4205,
      0.2307,
      0.4711,
      0.2777,
      0.6008,
      0.0434,
      0,
      0,
      0,
      0,
      0,
      0.3184,
      0.2783,
      0.2915,
      0.2632,
      0.3333,
      0.3356,
      0.3277,
      0.4192,
      0.3752,
      0.2551,
      0.2322,
      0.2757,
      0.2564,
      0.2597,
      0.2956,
      0.294,
      0.4634,
      0.5061,
      0.3631,
      0.4625,
      0.3479,
      0.7015,
      0.6292,
      0.4699,
      0.542,
      0.479,
      0.4445,
      0.3688,
      0.5623,
      0.2989,
      0.5706,
      0.315,
      0.2974,
      0.4756,
      0.4871,
      0.413,
      0.415,
      0.636,
      0.6301,
      0.4977,
      0.3224,
      0.3633,
      0.4165,
      0.3468,
      0.4721,
      0.3555,
      0.6648,
      0.4698,
      0.5671,
      0.4982,
      0.5551,
      0.5077,
      0.5136,
      0.3569,
      0.2822,
      0.2943,
      0.3226,
      0.3938,
      0.3701,
      0.3594,
      0.3822,
      0.6119,
      0.5011,
      0.4687,
      0.6025,
      0.5424,
      0.3851,
      0.4655,
      0.3767,
      0.3869,
      0.343,
      0.2764,
      0.3444,
      0.469,
      0.5657,
      0.386,
      0.4067,
      0.3611,
      0.3882,
      0.5693,
      0.3268,
      0.3434,
      0.4187,
      0.3903,
      0.4152,
      0.4427,
      0.3205,
      0.4466,
      0.4917,
      0.465,
      0.5146,
      0.5647,
      0.3968,
      0.5288,
      0.5778,
      0.727,
      0.5753,
      0.6284,
      0.4236,
      0.6563,
      0.4677,
      0.4223,
      0.5773,
      0.3469,
      0.6115,
      0.5286,
      0.3633,
      0.6217,
      0.4847,
      0.4085,
      0.6667,
      0.4335,
      0.4335,
      0.3355,
      0.4388,
      0.291,
      0.4121,
      0.3182,
      0.5552,
      0.3861,
      0.3866,
      0.3636,
      0.4026,
      0.4355,
      0.4371,
      0.3756,
      0.5474,
      0.4584,
      0.3306,
      0.4498,
      0.2695,
      0.3484,
      0.3981,
      0.3863,
      0.547,
      0.4864,
      0.4802,
      0.6046,
      0.343,
      0.3792,
      0.4399,
      0.3902,
      0.4837,
      0.2569,
      0.63,
      0.3817,
      0.5488,
      0.3526,
      0.56,
      0.2969,
      0.5293,
      0.479,
      0.3482,
      0.2993,
      0.3616,
      0.4631,
      0.4211,
      0.4106,
      0.446,
      0.4548,
      0.4818,
      0.4919,
      0.4307,
      0.5274,
      0.3643,
      0.3189,
      0.3322,
      0.3102,
      0.4332,
      0.325,
      0.379,
      0.5291,
      0.467,
      0.5633,
      0.3682,
      0.3929,
      0.3832,
      0.3334,
      0.2541,
      0.4274,
      0.4553,
      0.4662,
      0.3839,
      0.4171,
      0.3335,
      0.4161,
      0.5018,
      0.5509,
      0.4815,
      0.5869,
      0.43,
      0.4757,
      0.5222,
      0.7243,
      0.5186,
      0.5973,
      0.3937,
      0.669,
      0.4584,
      0.4852,
      0.6007,
      0.4133,
      0.5778,
      0.4847,
      0.4072,
      0.6264,
      0.4793,
      0.4262,
      0.6468,
      0.4373,
      0.5078,
      0.3794,
      0.4202,
      0.2815,
      0.246,
      0.3106,
      0.3559,
      0.368,
      0.6014,
      0.3474,
      0.3743,
      0.2098,
      0.3181,
      0.3598,
      0.2857,
      0.4515,
      0.389,
      0.4779,
      0.3229,
      0.3641,
      0.3825,
      0.2757,
      0.3824,
      0.3488,
      0.4664,
      0.3764,
      0.3338,
      0.2876,
      0.2947,
      0.3494,
      0.5403,
      0.3127,
      0.6436,
      0.5638,
      0.5514,
      0.4418,
      0.6609,
      0.4069,
      0.4562,
      0.5838,
      0.4202,
      0.5551,
      0.4599,
      0.5012,
      0.5889,
      0.4305,
      0.4589,
      0.6529,
      0.4492,
      0.4915,
      0.3774,
      0.5114,
      0.5476,
      0.4528,
      0.4046,
      0.554,
      0.4095,
      0.5229,
      0.4855,
      0.5613,
      0.493,
      0.5448,
      0.468,
      0.4461,
      0.2452,
      0.5901,
      0.6421,
      0.5031,
      0.3105,
      0.131,
      0.1715,
      0.1947,
      0.2671,
      0.3335,
      0.3989,
      0.2474,
      0.3832,
      0.2667,
      0.3796,
      0.3854,
      0.2358,
      0.5935,
      0.2038,
      0.5837,
      0.1122,
      0,
      0,
      0,
      0,
      0,
      0.2813,
      0.2302,
      0.2718,
      0.1899,
      0.2523,
      0.19,
      0.1877,
      0.3105,
      0.2304,
      0.193,
      0.1464,
      0.1741,
      0.24,
      0.0948,
      0.2805,
      0.1803,
      0.472,
      0.2849,
      0.3036,
      0.525,
      0.3512,
      0.6099,
      0.5306,
      0.4551,
      0.5683,
      0.4842,
      0.4726,
      0.3687,
      0.551,
      0.3119,
      0.5891,
      0.3213,
      0.2219,
      0.333,
      0.4276,
      0.5158,
      0.4773,
      0.6397,
      0.5983,
      0.4332,
      0.354,
      0.215,
      0.4409,
      0.3457,
      0.5282,
      0.2496,
      0.5874,
      0.4915,
      0.651,
      0.4042,
      0.5594,
      0.5115,
      0.4551,
      0.3705,
      0.2821,
      0.2463,
      0.2859,
      0.2897,
      0.3372,
      0.3596,
      0.3698,
      0.6172,
      0.5653,
      0.415,
      0.3821,
      0.577,
      0.2796,
      0.3244,
      0.257,
      0.3745,
      0.314,
      0.3386,
      0.3281,
      0.5358,
      0.4954,
      0.401,
      0.4471,
      0.3367,
      0.4722,
      0.3984,
      0.3273,
      0.3146,
      0.4808,
      0.4843,
      0.4818,
      0.4712,
      0.3666,
      0.4786,
      0.4576,
      0.5614,
      0.4695,
      0.4584,
      0.4574,
      0.5604,
      0.6089,
      0.7195,
      0.512,
      0.659,
      0.368,
      0.6706,
      0.5075,
      0.4942,
      0.5162,
      0.3126,
      0.5662,
      0.422,
      0.4608,
      0.5966,
      0.4476,
      0.4477,
      0.56,
      0.4813,
      0.515,
      0.4354,
      0.521,
      0.3831,
      0.3705,
      0.2207,
      0.5463,
      0.3482,
      0.3719,
      0.3577,
      0.5128,
      0.5065,
      0.4348,
      0.4194,
      0.5926,
      0.4694,
      0.2813,
      0.4172,
      0.1572,
      0.2533,
      0.4377,
      0.2791,
      0.5686,
      0.5209,
      0.4852,
      0.3381,
      0.306,
      0.4047,
      0.4732,
      0.3438,
      0.4946,
      0.3072,
      0.587,
      0.4325,
      0.6689,
      0.3732,
      0.5908,
      0.3671,
      0.5804,
      0.4696,
      0.3517,
      0.3422,
      0.3171,
      0.3695,
      0.3314,
      0.3269,
      0.4756,
      0.5066,
      0.4543,
      0.5825,
      0.4306,
      0.5033,
      0.4531,
      0.26,
      0.2491,
      0.3359,
      0.4125,
      0.3859,
      0.3489,
      0.4861,
      0.5191,
      0.5719,
      0.4335,
      0.5126,
      0.3746,
      0.3145,
      0.2995,
      0.3716,
      0.4749,
      0.5059,
      0.4242,
      0.4869,
      0.3482,
      0.4611,
      0.4552,
      0.5142,
      0.4743,
      0.6025,
      0.4533,
      0.5403,
      0.5078,
      0.7162,
      0.5345,
      0.6616,
      0.3814,
      0.6466,
      0.4992,
      0.5074,
      0.5257,
      0.2659,
      0.5736,
      0.4209,
      0.4699,
      0.5875,
      0.4252,
      0.4776,
      0.5369,
      0.4831,
      0.5504,
      0.3584,
      0.4648,
      0.2766,
      0.1828,
      0.3606,
      0.2907,
      0.3304,
      0.3991,
      0.2705,
      0.2808,
      0.1828,
      0.2619,
      0.249,
      0.3234,
      0.3652,
      0.2938,
      0.4084,
      0.3217,
      0.2904,
      0.3614,
      0.2062,
      0.4856,
      0.3387,
      0.4435,
      0.3295,
      0.3265,
      0.2767,
      0.3495,
      0.422,
      0.5144,
      0.304,
      0.6308,
      0.5159,
      0.6328,
      0.3184,
      0.6489,
      0.5076,
      0.4508,
      0.5281,
      0.2564,
      0.5751,
      0.3778,
      0.4975,
      0.5659,
      0.4002,
      0.4293,
      0.5375,
      0.4123,
      0.4812,
      0.4153,
      0.5144,
      0.5172,
      0.5169,
      0.4463,
      0.5183,
      0.32,
      0.5339,
      0.4421,
      0.6223,
      0.4942,
      0.5718,
      0.5062,
      0.4378,
      0.3059,
      0.5658,
      0.5929,
      0.5444,
      0.4123,
      0.2107,
      0.1887,
      0.2024,
      0.3071,
      0.3305,
      0.3835,
      0.2034,
      0.3078,
      0.3591,
      0.2904,
      0.463,
      0.1623,
      0.5621,
      0.2604,
      0.6398,
      0.0974,
      0,
      0,
      0,
      0,
      0,
      0.3296,
      0.206,
      0.2169,
      0.2951,
      0.255,
      0.2679,
      0.1931,
      0.1694,
      0.3025,
      0.1075,
      0.2372,
      0.1833,
      0.2344,
      0.138,
      0.2693,
      0.2591,
      0.4855,
      0.3387,
      0.3541,
      0.3583,
      0.2611,
      0.3868,
      0.4245,
      0.291,
      0.555,
      0.4368,
      0.3749,
      0.3578,
      0.4846,
      0.345,
      0.3534,
      0.2542,
      0.245,
      0.3398,
      0.348,
      0.4515,
      0.48,
      0.5905,
      0.4486,
      0.3818,
      0.2781,
      0.3466,
      0.3867,
      0.3089,
      0.4224,
      0.2426,
      0.5735,
      0.407,
      0.6012,
      0.4229,
      0.6339,
      0.5056,
      0.5085,
      0.2883,
      0.2519,
      0.2868,
      0.4245,
      0.3832,
      0.3504,
      0.3836,
      0.4356,
      0.6298,
      0.47,
      0.3947,
      0.3602,
      0.5419,
      0.2495,
      0.3092,
      0.2542,
      0.4143,
      0.3171,
      0.2385,
      0.4086,
      0.5226,
      0.425,
      0.3598,
      0.5188,
      0.3492,
      0.4474,
      0.3106,
      0.3205,
      0.3494,
      0.4388,
      0.5028,
      0.4642,
      0.5121,
      0.2629,
      0.4537,
      0.4774,
      0.5232,
      0.4728,
      0.5113,
      0.4618,
      0.5035,
      0.5906,
      0.6763,
      0.5969,
      0.5996,
      0.3436,
      0.6494,
      0.5036,
      0.5322,
      0.5187,
      0.3322,
      0.5964,
      0.4124,
      0.505,
      0.4994,
      0.5293,
      0.516,
      0.5269,
      0.4516,
      0.4821,
      0.4306,
      0.4571,
      0.3952,
      0.4264,
      0.2138,
      0.533,
      0.3807,
      0.3809,
      0.3236,
      0.4729,
      0.4889,
      0.4938,
      0.3962,
      0.4282,
      0.4612,
      0.4094,
      0.4435,
      0.2306,
      0.3721,
      0.5156,
      0.2904,
      0.5098,
      0.5393,
      0.3772,
      0.3904,
      0.3119,
      0.466,
      0.4504,
      0.3088,
      0.4295,
      0.4007,
      0.5426,
      0.3795,
      0.6223,
      0.3468,
      0.6419,
      0.3856,
      0.5464,
      0.3906,
      0.4163,
      0.4736,
      0.3479,
      0.329,
      0.3159,
      0.338,
      0.3609,
      0.3902,
      0.412,
      0.5475,
      0.5424,
      0.5251,
      0.6686,
      0.3344,
      0.3014,
      0.289,
      0.4543,
      0.371,
      0.3276,
      0.5088,
      0.4934,
      0.4751,
      0.3034,
      0.5311,
      0.5167,
      0.2289,
      0.3126,
      0.3339,
      0.4839,
      0.4654,
      0.4861,
      0.5347,
      0.2463,
      0.4852,
      0.425,
      0.4986,
      0.4018,
      0.5818,
      0.4929,
      0.5289,
      0.487,
      0.6861,
      0.6078,
      0.6282,
      0.3885,
      0.6747,
      0.52,
      0.5662,
      0.5438,
      0.3595,
      0.5571,
      0.3442,
      0.4895,
      0.5345,
      0.5392,
      0.4982,
      0.4694,
      0.448,
      0.5783,
      0.4598,
      0.5117,
      0.2892,
      0.1062,
      0.2965,
      0.213,
      0.3481,
      0.4628,
      0.2835,
      0.3817,
      0.2838,
      0.2839,
      0.2465,
      0.3366,
      0.3762,
      0.2666,
      0.4405,
      0.3802,
      0.3095,
      0.3765,
      0.2284,
      0.3711,
      0.3846,
      0.4314,
      0.3152,
      0.2708,
      0.3512,
      0.406,
      0.5048,
      0.4296,
      0.3233,
      0.581,
      0.4439,
      0.602,
      0.3629,
      0.681,
      0.4852,
      0.5173,
      0.4899,
      0.298,
      0.5717,
      0.3941,
      0.5085,
      0.5493,
      0.5382,
      0.5162,
      0.4326,
      0.4188,
      0.5587,
      0.4396,
      0.4653,
      0.3841,
      0.5592,
      0.488,
      0.4617,
      0.3477,
      0.4904,
      0.4835,
      0.5234,
      0.5084,
      0.6065,
      0.4982,
      0.51,
      0.2414,
      0.5751,
      0.6169,
      0.4513,
      0.3671,
      0.1234,
      0.185,
      0.2528,
      0.2812,
      0.3439,
      0.3066,
      0.2465,
      0.3138,
      0.3237,
      0.365,
      0.2884,
      0.2921,
      0.5533,
      0.2398,
      0.6075,
      0.0552,
      0,
      0,
      0,
      0,
      0,
      0.343,
      0.2497,
      0.2927,
      0.2295,
      0.2367,
      0.1255,
      0.0914,
      0.2205,
      0.186,
      0.1706,
      0.0842,
      0.1913,
      0.1526,
      0.1764,
      0.2952,
      0.1267,
      0.4627,
      0.2843,
      0.2826,
      0.3395,
      0.2653,
      0.372,
      0.3931,
      0.2973,
      0.5251,
      0.4093,
      0.3863,
      0.3909,
      0.5294,
      0.3271,
      0.3781,
      0.1873,
      0.2378,
      0.3941,
      0.3467,
      0.2816,
      0.4331,
      0.4714,
      0.4727,
      0.3982,
      0.3569,
      0.3293,
      0.4448,
      0.3425,
      0.4799,
      0.2782,
      0.5544,
      0.4067,
      0.5662,
      0.4216,
      0.6032,
      0.6173,
      0.436,
      0.4434,
      0.2974,
      0.2887,
      0.3409,
      0.3587,
      0.3257,
      0.3968,
      0.4143,
      0.5771,
      0.4533,
      0.4069,
      0.4,
      0.5417,
      0.3555,
      0.1595,
      0.385,
      0.4404,
      0.2199,
      0.1925,
      0.5,
      0.4281,
      0.4199,
      0.3708,
      0.5236,
      0.4046,
      0.482,
      0.345,
      0.3158,
      0.3429,
      0.5712,
      0.4504,
      0.4297,
      0.4589,
      0.2799,
      0.5255,
      0.4877,
      0.53,
      0.4454,
      0.4488,
      0.4507,
      0.5528,
      0.6042,
      0.6524,
      0.5831,
      0.5282,
      0.3867,
      0.6249,
      0.5,
      0.4407,
      0.5504,
      0.2854,
      0.5333,
      0.4265,
      0.5458,
      0.5633,
      0.4712,
      0.4658,
      0.5594,
      0.4223,
      0.5238,
      0.4899,
      0.4813,
      0.3647,
      0.4527,
      0.2334,
      0.5486,
      0.3336,
      0.6124,
      0.4499,
      0.4081,
      0.4066,
      0.48,
      0.3451,
      0.4545,
      0.5178,
      0.4006,
      0.352,
      0.275,
      0.3631,
      0.5889,
      0.2731,
      0.4834,
      0.4893,
      0.4623,
      0.3354,
      0.3815,
      0.3145,
      0.4319,
      0.3986,
      0.5337,
      0.3394,
      0.5643,
      0.4162,
      0.5382,
      0.2727,
      0.583,
      0.2983,
      0.5765,
      0.4397,
      0.3405,
      0.3324,
      0.4336,
      0.3545,
      0.3884,
      0.3444,
      0.4667,
      0.4029,
      0.4389,
      0.4251,
      0.4363,
      0.5263,
      0.4848,
      0.2339,
      0.3562,
      0.384,
      0.3539,
      0.3877,
      0.3122,
      0.4042,
      0.5444,
      0.4666,
      0.306,
      0.4751,
      0.4974,
      0.2948,
      0.3562,
      0.3627,
      0.4713,
      0.4556,
      0.4524,
      0.4188,
      0.3071,
      0.4948,
      0.4674,
      0.5824,
      0.4789,
      0.5342,
      0.4406,
      0.5414,
      0.5138,
      0.6599,
      0.5564,
      0.5555,
      0.4122,
      0.6509,
      0.4589,
      0.4714,
      0.5701,
      0.3008,
      0.5397,
      0.3911,
      0.5226,
      0.5851,
      0.5028,
      0.422,
      0.475,
      0.4143,
      0.598,
      0.4887,
      0.4895,
      0.2323,
      0.1732,
      0.3155,
      0.1851,
      0.2577,
      0.5591,
      0.2463,
      0.295,
      0.2595,
      0.252,
      0.262,
      0.3299,
      0.4223,
      0.3304,
      0.4787,
      0.3683,
      0.343,
      0.3568,
      0.3075,
      0.3515,
      0.3602,
      0.4599,
      0.3983,
      0.3028,
      0.2849,
      0.4235,
      0.5518,
      0.5002,
      0.219,
      0.5575,
      0.4739,
      0.5526,
      0.3108,
      0.6208,
      0.4623,
      0.5072,
      0.5231,
      0.3751,
      0.5731,
      0.3753,
      0.4564,
      0.6053,
      0.5038,
      0.4406,
      0.4836,
      0.3828,
      0.5693,
      0.4231,
      0.5253,
      0.5121,
      0.53,
      0.4476,
      0.5067,
      0.3972,
      0.4576,
      0.4295,
      0.4953,
      0.5325,
      0.4825,
      0.4443,
      0.4764,
      0.2789,
      0.4772,
      0.5843,
      0.4735,
      0.361,
      0.2119,
      0.2083,
      0.2521,
      0.3131,
      0.3743,
      0.344,
      0.26,
      0.3947,
      0.3304,
      0.3477,
      0.3969,
      0.3876,
      0.5194,
      0.2271,
      0.5408,
      0.1159,
      0,
      0,
      0,
      0,
      0,
      0.3142,
      0.3111,
      0.2651,
      0.2216,
      0.2137,
      0.196,
      0.2301,
      0.1467,
      0.2286,
      0.2835,
      0.2776,
      0.1946,
      0.252,
      0.1779,
      0.2054,
      0.1714,
      0.493,
      0.3885,
      0.4351,
      0.5317,
      0.3449,
      0.3962,
      0.4236,
      0.3325,
      0.4512,
      0.4062,
      0.3652,
      0.3109,
      0.5248,
      0.4563,
      0.2896,
      0.4049,
      0.2368,
      0.3416,
      0.4068,
      0.3693,
      0.3933,
      0.4693,
      0.5339,
      0.4152,
      0.3363,
      0.3116,
      0.4542,
      0.3407,
      0.4799,
      0.3203,
      0.5882,
      0.4495,
      0.6247,
      0.4326,
      0.6087,
      0.6142,
      0.4571,
      0.48,
      0.4492,
      0.4364,
      0.3859,
      0.3736,
      0.4646,
      0.2994,
      0.4051,
      0.6341,
      0.4176,
      0.3585,
      0.2699,
      0.4727,
      0.4242,
      0.3885,
      0.3953,
      0.4552,
      0.3473,
      0.3628,
      0.3947,
      0.408,
      0.5519,
      0.403,
      0.3939,
      0.4788,
      0.508,
      0.4119,
      0.2094,
      0.2982,
      0.5555,
      0.4927,
      0.5277,
      0.4752,
      0.4224,
      0.5168,
      0.4991,
      0.5756,
      0.4675,
      0.4056,
      0.4447,
      0.5461,
      0.634,
      0.6187,
      0.5229,
      0.6365,
      0.4707,
      0.6719,
      0.3516,
      0.465,
      0.4835,
      0.4522,
      0.5416,
      0.4429,
      0.5207,
      0.5105,
      0.4905,
      0.4918,
      0.5272,
      0.4424,
      0.4951,
      0.4152,
      0.4695,
      0.4835,
      0.4857,
      0.3649,
      0.4534,
      0.3519,
      0.4992,
      0.385,
      0.442,
      0.4433,
      0.4852,
      0.2701,
      0.5147,
      0.4614,
      0.4156,
      0.3899,
      0.3572,
      0.369,
      0.6502,
      0.2918,
      0.5454,
      0.5339,
      0.5256,
      0.5236,
      0.3598,
      0.3537,
      0.4687,
      0.421,
      0.5232,
      0.3809,
      0.5804,
      0.3629,
      0.6378,
      0.3006,
      0.5628,
      0.3829,
      0.5636,
      0.4441,
      0.4925,
      0.3669,
      0.3311,
      0.3733,
      0.4357,
      0.4129,
      0.4608,
      0.371,
      0.3604,
      0.3755,
      0.4004,
      0.491,
      0.4969,
      0.2714,
      0.4343,
      0.3473,
      0.3526,
      0.3195,
      0.2891,
      0.4338,
      0.5352,
      0.4536,
      0.5679,
      0.5108,
      0.4209,
      0.263,
      0.3939,
      0.3738,
      0.5212,
      0.4845,
      0.525,
      0.4583,
      0.412,
      0.4763,
      0.4796,
      0.6063,
      0.4883,
      0.4762,
      0.4156,
      0.5547,
      0.5599,
      0.5801,
      0.4931,
      0.6754,
      0.4574,
      0.6801,
      0.4663,
      0.4429,
      0.5207,
      0.5156,
      0.5862,
      0.4798,
      0.5516,
      0.5401,
      0.5306,
      0.4962,
      0.4978,
      0.4362,
      0.5168,
      0.4397,
      0.4718,
      0.3004,
      0.1809,
      0.2104,
      0.2812,
      0.2446,
      0.5782,
      0.1947,
      0.2452,
      0.3311,
      0.3412,
      0.3536,
      0.3174,
      0.4081,
      0.4303,
      0.3631,
      0.3346,
      0.3987,
      0.4332,
      0.3707,
      0.4187,
      0.3028,
      0.452,
      0.4658,
      0.2944,
      0.3442,
      0.4589,
      0.3799,
      0.5101,
      0.3292,
      0.6019,
      0.4731,
      0.6323,
      0.3904,
      0.6212,
      0.4337,
      0.4765,
      0.4751,
      0.5188,
      0.5941,
      0.4881,
      0.5331,
      0.5286,
      0.5246,
      0.5246,
      0.5224,
      0.3662,
      0.5371,
      0.3864,
      0.459,
      0.4672,
      0.5238,
      0.4325,
      0.4266,
      0.3345,
      0.5305,
      0.4817,
      0.5866,
      0.5346,
      0.5586,
      0.4611,
      0.4473,
      0.423,
      0.5472,
      0.5393,
      0.5299,
      0.4717,
      0.3651,
      0.3811,
      0.3554,
      0.462,
      0.4224,
      0.5047,
      0.3041,
      0.3881,
      0.3602,
      0.3607,
      0.4105,
      0.3696,
      0.5446,
      0.3825,
      0.6391,
      0.1465,
      0,
      0,
      0,
      0,
      0,
      0.3144,
      0.2128,
      0.273,
      0.2433,
      0.2652,
      0.1791,
      0.2236,
      0.2256,
      0.2598,
      0.1767,
      0.1511,
      0.107,
      0.1987,
      0.0479,
      0.1764,
      0.1778,
      0.3929,
      0.4525,
      0.5827,
      0.5566,
      0.3573,
      0.4176,
      0.4644,
      0.2765,
      0.4152,
      0.3862,
      0.4009,
      0.414,
      0.4908,
      0.3924,
      0.3566,
      0.4851,
      0.2828,
      0.5662,
      0.3713,
      0.4445,
      0.4295,
      0.5312,
      0.4972,
      0.4482,
      0.2889,
      0.3413,
      0.4498,
      0.3824,
      0.5266,
      0.3561,
      0.6342,
      0.4062,
      0.6253,
      0.2773,
      0.572,
      0.5561,
      0.4793,
      0.4413,
      0.3838,
      0.4205,
      0.4018,
      0.3553,
      0.454,
      0.2908,
      0.296,
      0.5529,
      0.4673,
      0.4368,
      0.355,
      0.4801,
      0.4785,
      0.4533,
      0.465,
      0.4715,
      0.3579,
      0.3595,
      0.315,
      0.439,
      0.559,
      0.3896,
      0.4908,
      0.3771,
      0.4089,
      0.5333,
      0.2463,
      0.3937,
      0.5632,
      0.4331,
      0.4125,
      0.3849,
      0.2888,
      0.4787,
      0.3938,
      0.5697,
      0.4625,
      0.4934,
      0.3894,
      0.5174,
      0.5997,
      0.7084,
      0.5205,
      0.6416,
      0.4438,
      0.5924,
      0.4669,
      0.3864,
      0.4429,
      0.4034,
      0.6298,
      0.394,
      0.4585,
      0.5513,
      0.4654,
      0.3879,
      0.5159,
      0.4662,
      0.5263,
      0.5067,
      0.4526,
      0.3616,
      0.4873,
      0.3944,
      0.5903,
      0.4962,
      0.3968,
      0.4089,
      0.4234,
      0.4162,
      0.5514,
      0.3999,
      0.5173,
      0.4716,
      0.4087,
      0.4013,
      0.352,
      0.3285,
      0.6693,
      0.3409,
      0.4862,
      0.5013,
      0.5378,
      0.4932,
      0.3325,
      0.4996,
      0.5293,
      0.3343,
      0.5417,
      0.3331,
      0.6116,
      0.4013,
      0.6412,
      0.3632,
      0.5637,
      0.3742,
      0.5152,
      0.4944,
      0.4182,
      0.3585,
      0.1926,
      0.3689,
      0.3785,
      0.4479,
      0.4505,
      0.3404,
      0.4246,
      0.3453,
      0.3256,
      0.4677,
      0.4473,
      0.2829,
      0.3714,
      0.3839,
      0.3254,
      0.3493,
      0.3084,
      0.389,
      0.5387,
      0.3366,
      0.5579,
      0.5732,
      0.3713,
      0.2882,
      0.401,
      0.3263,
      0.5036,
      0.3806,
      0.4082,
      0.4034,
      0.3262,
      0.4344,
      0.4318,
      0.5936,
      0.4503,
      0.4953,
      0.4191,
      0.5053,
      0.5968,
      0.7081,
      0.505,
      0.6371,
      0.3944,
      0.633,
      0.4353,
      0.4917,
      0.5102,
      0.3818,
      0.6128,
      0.4162,
      0.4902,
      0.5563,
      0.4776,
      0.4324,
      0.549,
      0.4742,
      0.6023,
      0.5253,
      0.4476,
      0.271,
      0.2483,
      0.3222,
      0.265,
      0.318,
      0.3743,
      0.336,
      0.1805,
      0.2749,
      0.2885,
      0.16,
      0.2947,
      0.4254,
      0.3524,
      0.4498,
      0.2634,
      0.3793,
      0.303,
      0.3045,
      0.3726,
      0.3644,
      0.3484,
      0.3983,
      0.2163,
      0.3118,
      0.3602,
      0.3507,
      0.5126,
      0.3538,
      0.6297,
      0.4392,
      0.6104,
      0.3718,
      0.6039,
      0.4319,
      0.4344,
      0.4224,
      0.3979,
      0.5988,
      0.4552,
      0.4797,
      0.5032,
      0.4811,
      0.4657,
      0.5671,
      0.3925,
      0.5632,
      0.525,
      0.4677,
      0.4887,
      0.4881,
      0.4435,
      0.5385,
      0.3961,
      0.4819,
      0.5556,
      0.6546,
      0.5298,
      0.5866,
      0.4406,
      0.4517,
      0.3231,
      0.478,
      0.5,
      0.5094,
      0.4239,
      0.3081,
      0.3491,
      0.2855,
      0.3792,
      0.3723,
      0.3768,
      0.2497,
      0.4083,
      0.3535,
      0.3312,
      0.3885,
      0.4506,
      0.5864,
      0.3926,
      0.6059,
      0.1832,
      0,
      0,
      0,
      0,
      0,
      0.2497,
      0.3032,
      0.2946,
      0.2023,
      0.2697,
      0.2964,
      0.3097,
      0.0706,
      0.2054,
      0.2095,
      0.1911,
      0.0807,
      0.133,
      0.0649,
      0.14,
      0.1547,
      0.5012,
      0.5069,
      0.3754,
      0.4336,
      0.2538,
      0.5379,
      0.5137,
      0.3813,
      0.3937,
      0.4009,
      0.3757,
      0.3794,
      0.5301,
      0.2984,
      0.3845,
      0.3103,
      0.2348,
      0.4887,
      0.4533,
      0.3656,
      0.3613,
      0.4751,
      0.5465,
      0.4547,
      0.2997,
      0.404,
      0.4364,
      0.4168,
      0.5781,
      0.2643,
      0.5497,
      0.4439,
      0.5447,
      0.3512,
      0.5867,
      0.5612,
      0.4775,
      0.4168,
      0.3005,
      0.3647,
      0.3543,
      0.3518,
      0.3289,
      0.3338,
      0.4127,
      0.553,
      0.4524,
      0.4057,
      0.4757,
      0.5166,
      0.4607,
      0.5454,
      0.4562,
      0.3206,
      0.2942,
      0.3441,
      0.2183,
      0.4258,
      0.5103,
      0.3621,
      0.3515,
      0.3994,
      0.452,
      0.4827,
      0.361,
      0.3402,
      0.5212,
      0.4415,
      0.4234,
      0.4824,
      0.3005,
      0.4978,
      0.4115,
      0.5597,
      0.4664,
      0.5525,
      0.4565,
      0.5069,
      0.5373,
      0.7809,
      0.616,
      0.5805,
      0.4683,
      0.6105,
      0.503,
      0.5233,
      0.5718,
      0.3555,
      0.6183,
      0.4604,
      0.5472,
      0.6125,
      0.5387,
      0.4238,
      0.4953,
      0.3488,
      0.4965,
      0.4521,
      0.4071,
      0.387,
      0.4338,
      0.3574,
      0.5541,
      0.4108,
      0.4189,
      0.4955,
      0.5163,
      0.3962,
      0.5336,
      0.3998,
      0.5191,
      0.4179,
      0.4183,
      0.4849,
      0.2246,
      0.4148,
      0.6262,
      0.4265,
      0.5519,
      0.4725,
      0.6462,
      0.7271,
      0.4653,
      0.5108,
      0.6046,
      0.2999,
      0.5467,
      0.3749,
      0.5796,
      0.4866,
      0.575,
      0.3605,
      0.5687,
      0.36,
      0.5994,
      0.4092,
      0.3458,
      0.2399,
      0.3038,
      0.3322,
      0.3007,
      0.4604,
      0.4966,
      0.4175,
      0.5089,
      0.356,
      0.2917,
      0.4682,
      0.2696,
      0.3261,
      0.3368,
      0.3456,
      0.3671,
      0.3047,
      0.3651,
      0.4631,
      0.4462,
      0.2561,
      0.3812,
      0.5174,
      0.3477,
      0.2905,
      0.2555,
      0.287,
      0.4798,
      0.4446,
      0.4063,
      0.433,
      0.3411,
      0.5628,
      0.4147,
      0.5163,
      0.4594,
      0.5858,
      0.4379,
      0.5404,
      0.5799,
      0.7636,
      0.5765,
      0.5979,
      0.4562,
      0.6347,
      0.4632,
      0.5239,
      0.5851,
      0.3444,
      0.589,
      0.5123,
      0.5273,
      0.6319,
      0.5309,
      0.4286,
      0.5086,
      0.3257,
      0.5436,
      0.4538,
      0.4383,
      0.2804,
      0.3215,
      0.3247,
      0.3328,
      0.3246,
      0.4052,
      0.4202,
      0.2312,
      0.2983,
      0.2033,
      0.3168,
      0.3143,
      0.4447,
      0.3839,
      0.326,
      0.3607,
      0.2839,
      0.253,
      0.1862,
      0.2655,
      0.3451,
      0.3791,
      0.363,
      0.1342,
      0.3572,
      0.2801,
      0.4265,
      0.5306,
      0.3517,
      0.6137,
      0.5008,
      0.5582,
      0.3879,
      0.6035,
      0.4564,
      0.4897,
      0.5718,
      0.3845,
      0.54,
      0.4591,
      0.503,
      0.5558,
      0.5288,
      0.4225,
      0.5025,
      0.2851,
      0.5721,
      0.4865,
      0.4372,
      0.4908,
      0.5276,
      0.4518,
      0.4742,
      0.4176,
      0.533,
      0.5143,
      0.5969,
      0.5692,
      0.5482,
      0.4707,
      0.3914,
      0.2859,
      0.5925,
      0.5599,
      0.4341,
      0.4389,
      0.2785,
      0.2066,
      0.198,
      0.2457,
      0.3142,
      0.4162,
      0.2168,
      0.2603,
      0.2733,
      0.287,
      0.4243,
      0.3465,
      0.5691,
      0.1817,
      0.6074,
      0.0874,
      0,
      0,
      0,
      0,
      0,
      0.3455,
      0.273,
      0.2781,
      0.2366,
      0.2558,
      0.3428,
      0.3113,
      0.2839,
      0.2596,
      0.1896,
      0.2153,
      0.2227,
      0.1095,
      0.1441,
      0.2748,
      0.2147,
      0.4935,
      0.4201,
      0.3221,
      0.3789,
      0.3569,
      0.6751,
      0.4923,
      0.4126,
      0.3785,
      0.425,
      0.4573,
      0.3568,
      0.4735,
      0.2355,
      0.5909,
      0.3963,
      0.2469,
      0.3099,
      0.4447,
      0.3405,
      0.3336,
      0.5104,
      0.6827,
      0.4555,
      0.3226,
      0.2902,
      0.3649,
      0.3452,
      0.5409,
      0.2969,
      0.5842,
      0.429,
      0.6458,
      0.4156,
      0.6296,
      0.52,
      0.4473,
      0.2816,
      0.3351,
      0.4086,
      0.3705,
      0.3609,
      0.3948,
      0.3019,
      0.4192,
      0.5307,
      0.3979,
      0.3805,
      0.5684,
      0.4895,
      0.39,
      0.4714,
      0.4155,
      0.4112,
      0.3412,
      0.3677,
      0.2806,
      0.4253,
      0.5928,
      0.4169,
      0.4261,
      0.321,
      0.4199,
      0.5293,
      0.2664,
      0.4005,
      0.3907,
      0.4762,
      0.4579,
      0.439,
      0.3419,
      0.8349,
      0.4328,
      0.4574,
      0.4459,
      0.5214,
      0.4444,
      0.5582,
      0.4662,
      0.7468,
      0.5362,
      0.6421,
      0.5009,
      0.6338,
      0.4517,
      0.4918,
      0.5212,
      0.3368,
      0.5592,
      0.4157,
      0.494,
      0.5333,
      0.5347,
      0.4568,
      0.451,
      0.3149,
      0.6732,
      0.4194,
      0.4281,
      0.422,
      0.4355,
      0.2895,
      0.549,
      0.3539,
      0.3499,
      0.4541,
      0.5208,
      0.4172,
      0.5114,
      0.3264,
      0.4742,
      0.4102,
      0.43,
      0.4006,
      0.2027,
      0.3034,
      0.4484,
      0.3303,
      0.5371,
      0.4722,
      0.5659,
      0.6997,
      0.394,
      0.3826,
      0.647,
      0.3118,
      0.5577,
      0.3832,
      0.5627,
      0.407,
      0.6343,
      0.3453,
      0.6388,
      0.3205,
      0.5903,
      0.4172,
      0.3604,
      0.2203,
      0.2359,
      0.3607,
      0.3894,
      0.3746,
      0.4146,
      0.3672,
      0.4076,
      0.3737,
      0.361,
      0.5072,
      0.366,
      0.3405,
      0.3127,
      0.4198,
      0.4221,
      0.3399,
      0.2297,
      0.4892,
      0.5024,
      0.3205,
      0.3122,
      0.5528,
      0.3594,
      0.2443,
      0.2412,
      0.2645,
      0.3781,
      0.5056,
      0.4606,
      0.4326,
      0.3673,
      0.8565,
      0.4141,
      0.4376,
      0.4536,
      0.5766,
      0.4535,
      0.5381,
      0.5552,
      0.7309,
      0.5261,
      0.6581,
      0.4722,
      0.6306,
      0.4786,
      0.4697,
      0.5357,
      0.303,
      0.5309,
      0.4502,
      0.5157,
      0.5164,
      0.5011,
      0.4456,
      0.4984,
      0.3192,
      0.7113,
      0.4437,
      0.4557,
      0.4125,
      0.3938,
      0.3118,
      0.3828,
      0.3005,
      0.5182,
      0.3088,
      0.2917,
      0.2101,
      0.2735,
      0.2617,
      0.3236,
      0.3884,
      0.2852,
      0.4558,
      0.3736,
      0.311,
      0.3319,
      0.1478,
      0.3559,
      0.3189,
      0.3333,
      0.3468,
      0.2892,
      0.2793,
      0.3061,
      0.3011,
      0.5576,
      0.2916,
      0.5751,
      0.5486,
      0.6284,
      0.3424,
      0.5946,
      0.4372,
      0.4041,
      0.5206,
      0.2828,
      0.504,
      0.4808,
      0.5126,
      0.4518,
      0.5244,
      0.4455,
      0.4854,
      0.4008,
      0.6867,
      0.3883,
      0.4705,
      0.4372,
      0.5179,
      0.433,
      0.4037,
      0.3595,
      0.6495,
      0.5171,
      0.5519,
      0.4938,
      0.6109,
      0.4516,
      0.4254,
      0.2059,
      0.7239,
      0.5347,
      0.391,
      0.3371,
      0.1976,
      0.2711,
      0.1687,
      0.2092,
      0.2679,
      0.3383,
      0.2381,
      0.305,
      0.2541,
      0.2157,
      0.345,
      0.2997,
      0.5473,
      0.1633,
      0.6526,
      0.0868,
      0,
      0,
      0,
      0,
      0,
      0.1925,
      0.0701,
      0.1912,
      0.2222,
      0.1227,
      0.0655,
      0.1471,
      0.2392,
      0.2465,
      0.1445,
      0.1629,
      0.2254,
      0.1536,
      0.0367,
      0.1597,
      0.1776,
      0.5014,
      0.3261,
      0.2705,
      0.4459,
      0.286,
      0.5777,
      0.4289,
      0.396,
      0.4025,
      0.371,
      0.3619,
      0.2882,
      0.4865,
      0.2857,
      0.6145,
      0.312,
      0.2673,
      0.3144,
      0.4177,
      0.4633,
      0.3576,
      0.4433,
      0.5371,
      0.3259,
      0.304,
      0.2853,
      0.4902,
      0.2858,
      0.5273,
      0.3174,
      0.6258,
      0.4235,
      0.5862,
      0.3403,
      0.5794,
      0.5175,
      0.3524,
      0.3491,
      0.2898,
      0.4286,
      0.445,
      0.327,
      0.4172,
      0.261,
      0.4208,
      0.4984,
      0.4237,
      0.4033,
      0.4867,
      0.4803,
      0.3272,
      0.3419,
      0.3311,
      0.3641,
      0.3167,
      0.2588,
      0.3235,
      0.3865,
      0.5807,
      0.3769,
      0.3821,
      0.3842,
      0.3995,
      0.4193,
      0.2575,
      0.3082,
      0.395,
      0.5143,
      0.4937,
      0.4247,
      0.2705,
      0.8011,
      0.4523,
      0.4784,
      0.4135,
      0.4886,
      0.4695,
      0.5473,
      0.4426,
      0.7682,
      0.5607,
      0.6195,
      0.4725,
      0.6065,
      0.4909,
      0.4498,
      0.4992,
      0.2291,
      0.534,
      0.368,
      0.4328,
      0.5049,
      0.5394,
      0.4784,
      0.4092,
      0.2608,
      0.4248,
      0.3633,
      0.4217,
      0.3858,
      0.294,
      0.1814,
      0.5479,
      0.2945,
      0.2524,
      0.3153,
      0.4342,
      0.2943,
      0.5011,
      0.3488,
      0.4935,
      0.4469,
      0.3486,
      0.4616,
      0.1646,
      0.2463,
      0.4018,
      0.1485,
      0.5157,
      0.481,
      0.3878,
      0.4731,
      0.2717,
      0.3374,
      0.5953,
      0.3886,
      0.5236,
      0.4845,
      0.5915,
      0.3313,
      0.602,
      0.2442,
      0.5482,
      0.3635,
      0.5336,
      0.4404,
      0.3614,
      0.3492,
      0.3202,
      0.2979,
      0.3791,
      0.3209,
      0.5025,
      0.351,
      0.3249,
      0.4347,
      0.4027,
      0.4701,
      0.4241,
      0.2004,
      0.2408,
      0.333,
      0.3895,
      0.2741,
      0.2401,
      0.3295,
      0.485,
      0.426,
      0.2121,
      0.5283,
      0.3948,
      0.2099,
      0.2895,
      0.234,
      0.3628,
      0.4964,
      0.4608,
      0.4193,
      0.3082,
      0.7676,
      0.4335,
      0.4257,
      0.3809,
      0.5059,
      0.4885,
      0.4945,
      0.4699,
      0.7456,
      0.5296,
      0.6039,
      0.4693,
      0.6203,
      0.5052,
      0.4136,
      0.4811,
      0.2934,
      0.4224,
      0.3714,
      0.5218,
      0.4772,
      0.5524,
      0.4761,
      0.4685,
      0.2675,
      0.4987,
      0.3206,
      0.427,
      0.28,
      0.1247,
      0.1552,
      0.3279,
      0.2009,
      0.5102,
      0.2957,
      0.218,
      0.2582,
      0.2829,
      0.3644,
      0.3761,
      0.4366,
      0.228,
      0.4672,
      0.3068,
      0.3119,
      0.327,
      0.173,
      0.2947,
      0.2298,
      0.3457,
      0.3257,
      0.2527,
      0.2304,
      0.3077,
      0.2534,
      0.5452,
      0.2091,
      0.6142,
      0.4389,
      0.6167,
      0.3102,
      0.5637,
      0.4701,
      0.4264,
      0.5126,
      0.2815,
      0.5029,
      0.3649,
      0.503,
      0.4246,
      0.5423,
      0.4727,
      0.468,
      0.3241,
      0.4992,
      0.3601,
      0.439,
      0.4246,
      0.5036,
      0.4654,
      0.3801,
      0.2947,
      0.4567,
      0.4569,
      0.498,
      0.5032,
      0.6097,
      0.4831,
      0.4514,
      0.3154,
      0.5495,
      0.5339,
      0.4334,
      0.3694,
      0.2052,
      0.2019,
      0.2345,
      0.233,
      0.3076,
      0.3458,
      0.2499,
      0.2718,
      0.258,
      0.2707,
      0.4011,
      0.2935,
      0.5326,
      0.1601,
      0.6306,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2488,
      0.1419,
      0.2118,
      0.2024,
      0.1532,
      0.061,
      0.1231,
      0.1357,
      0.2966,
      0.2185,
      0.2085,
      0.1525,
      0.1895,
      0.0875,
      0.2152,
      0.2309,
      0.5037,
      0.3574,
      0.3324,
      0.4003,
      0.328,
      0.4047,
      0.3929,
      0.2816,
      0.4432,
      0.432,
      0.4053,
      0.2811,
      0.4435,
      0.3117,
      0.3501,
      0.224,
      0.3007,
      0.3388,
      0.4165,
      0.3272,
      0.3893,
      0.4514,
      0.3864,
      0.3522,
      0.2633,
      0.2535,
      0.4229,
      0.2897,
      0.5568,
      0.2711,
      0.6533,
      0.3841,
      0.6537,
      0.3153,
      0.6199,
      0.5083,
      0.3722,
      0.4222,
      0.2391,
      0.3646,
      0.431,
      0.3402,
      0.2918,
      0.3191,
      0.3938,
      0.5746,
      0.4529,
      0.3851,
      0.3101,
      0.4797,
      0.3483,
      0.2155,
      0.3501,
      0.3617,
      0.2556,
      0.2294,
      0.387,
      0.396,
      0.4787,
      0.3753,
      0.371,
      0.3945,
      0.4113,
      0.301,
      0.2635,
      0.3436,
      0.4664,
      0.4265,
      0.4421,
      0.4139,
      0.2678,
      0.516,
      0.4922,
      0.4464,
      0.3865,
      0.4871,
      0.4619,
      0.5948,
      0.3953,
      0.7321,
      0.5194,
      0.6617,
      0.4236,
      0.629,
      0.4567,
      0.5147,
      0.495,
      0.2725,
      0.5504,
      0.3888,
      0.4751,
      0.4672,
      0.4625,
      0.4134,
      0.4637,
      0.3836,
      0.3858,
      0.5052,
      0.4653,
      0.4124,
      0.2136,
      0.1614,
      0.4897,
      0.2945,
      0.3792,
      0.3742,
      0.3644,
      0.3619,
      0.5402,
      0.3508,
      0.5074,
      0.4938,
      0.415,
      0.4226,
      0.1824,
      0.4458,
      0.2689,
      0.2386,
      0.503,
      0.5188,
      0.3687,
      0.4501,
      0.2716,
      0.344,
      0.4305,
      0.3151,
      0.5664,
      0.5652,
      0.6116,
      0.3644,
      0.6553,
      0.2661,
      0.6119,
      0.2752,
      0.5674,
      0.3428,
      0.4126,
      0.3803,
      0.2801,
      0.2664,
      0.3221,
      0.3495,
      0.4555,
      0.4049,
      0.3612,
      0.364,
      0.4129,
      0.5028,
      0.6086,
      0.3091,
      0.2314,
      0.3118,
      0.4191,
      0.2523,
      0.2628,
      0.4515,
      0.5416,
      0.3719,
      0.2188,
      0.5313,
      0.3789,
      0.2521,
      0.1599,
      0.2739,
      0.458,
      0.424,
      0.4124,
      0.3943,
      0.2844,
      0.5059,
      0.4941,
      0.4755,
      0.3906,
      0.517,
      0.4716,
      0.5757,
      0.4689,
      0.7094,
      0.4796,
      0.6772,
      0.3886,
      0.6341,
      0.4308,
      0.4783,
      0.4813,
      0.3361,
      0.5613,
      0.3461,
      0.5184,
      0.4423,
      0.4553,
      0.4085,
      0.4261,
      0.3847,
      0.4924,
      0.5049,
      0.4747,
      0.2732,
      0.1354,
      0.1807,
      0.2602,
      0.2159,
      0.3154,
      0.3409,
      0.2777,
      0.297,
      0.3291,
      0.3474,
      0.3914,
      0.4282,
      0.2898,
      0.4125,
      0.3478,
      0.3486,
      0.3379,
      0.1598,
      0.3906,
      0.2415,
      0.361,
      0.3311,
      0.2314,
      0.2429,
      0.3218,
      0.2615,
      0.5962,
      0.2791,
      0.6395,
      0.4772,
      0.6611,
      0.3223,
      0.5598,
      0.4525,
      0.3952,
      0.4604,
      0.3242,
      0.5714,
      0.4132,
      0.4573,
      0.4143,
      0.4551,
      0.4271,
      0.4529,
      0.2992,
      0.4968,
      0.4833,
      0.4301,
      0.3929,
      0.5074,
      0.4616,
      0.5072,
      0.288,
      0.4535,
      0.4118,
      0.5325,
      0.503,
      0.5673,
      0.4631,
      0.4176,
      0.313,
      0.5065,
      0.5745,
      0.4177,
      0.3667,
      0.2175,
      0.2079,
      0.2942,
      0.2117,
      0.2997,
      0.3402,
      0.2576,
      0.1782,
      0.2772,
      0.1408,
      0.4907,
      0.3227,
      0.6631,
      0.1472,
      0.6779,
      0.075,
      0,
      0,
      0,
      0,
      0,
      0.1941,
      0.2056,
      0.2495,
      0.0856,
      0.177,
      0.118,
      0.1362,
      0.0906,
      0.3506,
      0.18,
      0.2541,
      0.1928,
      0.2724,
      0.1298,
      0.2135,
      0.1583,
      0.4403,
      0.2805,
      0.2512,
      0.3844,
      0.2879,
      0.326,
      0.3136,
      0.2751,
      0.4709,
      0.2917,
      0.4171,
      0.2779,
      0.5699,
      0.3353,
      0.2929,
      0.201,
      0.2647,
      0.3715,
      0.3688,
      0.3163,
      0.3541,
      0.4333,
      0.3901,
      0.356,
      0.2696,
      0.3201,
      0.4319,
      0.2524,
      0.5945,
      0.305,
      0.6834,
      0.4458,
      0.6278,
      0.3551,
      0.5859,
      0.5222,
      0.4513,
      0.3422,
      0.279,
      0.4098,
      0.308,
      0.3552,
      0.3249,
      0.3151,
      0.3402,
      0.6454,
      0.4439,
      0.3551,
      0.3246,
      0.4602,
      0.3461,
      0.1745,
      0.265,
      0.2924,
      0.276,
      0.3139,
      0.4514,
      0.445,
      0.4146,
      0.3701,
      0.3653,
      0.3733,
      0.4732,
      0.2398,
      0.2503,
      0.3575,
      0.3183,
      0.4741,
      0.4054,
      0.3777,
      0.323,
      0.4364,
      0.4539,
      0.565,
      0.3953,
      0.4715,
      0.4486,
      0.5745,
      0.4863,
      0.7274,
      0.4937,
      0.6573,
      0.4069,
      0.5967,
      0.4859,
      0.5231,
      0.4742,
      0.2146,
      0.4967,
      0.3474,
      0.5518,
      0.5186,
      0.4633,
      0.4395,
      0.4974,
      0.3777,
      0.4307,
      0.3607,
      0.4213,
      0.3963,
      0.3186,
      0.2455,
      0.5302,
      0.2395,
      0.4143,
      0.4113,
      0.466,
      0.4344,
      0.542,
      0.296,
      0.6192,
      0.5136,
      0.3442,
      0.4472,
      0.1498,
      0.4509,
      0.428,
      0.2247,
      0.5491,
      0.5294,
      0.3907,
      0.393,
      0.2754,
      0.3156,
      0.4305,
      0.2837,
      0.6039,
      0.4527,
      0.6674,
      0.3814,
      0.6203,
      0.2579,
      0.6093,
      0.378,
      0.5372,
      0.4149,
      0.2767,
      0.2504,
      0.3341,
      0.3296,
      0.3372,
      0.3669,
      0.387,
      0.4169,
      0.3114,
      0.3562,
      0.2624,
      0.4501,
      0.5202,
      0.2641,
      0.1564,
      0.321,
      0.3717,
      0.2723,
      0.2157,
      0.437,
      0.5399,
      0.3192,
      0.2492,
      0.4712,
      0.3807,
      0.2477,
      0.2601,
      0.2878,
      0.3456,
      0.4476,
      0.4588,
      0.3992,
      0.3485,
      0.4715,
      0.4605,
      0.5866,
      0.3941,
      0.5525,
      0.4974,
      0.5789,
      0.5255,
      0.6505,
      0.3586,
      0.6297,
      0.4108,
      0.614,
      0.4373,
      0.5137,
      0.4733,
      0.2862,
      0.4983,
      0.3814,
      0.582,
      0.5053,
      0.3839,
      0.4172,
      0.4525,
      0.395,
      0.463,
      0.401,
      0.4472,
      0.2054,
      0.1316,
      0.3058,
      0.2169,
      0.2662,
      0.3577,
      0.3212,
      0.2902,
      0.308,
      0.2337,
      0.4092,
      0.3595,
      0.4343,
      0.172,
      0.4634,
      0.3191,
      0.3493,
      0.3253,
      0.1294,
      0.3174,
      0.2917,
      0.4219,
      0.3285,
      0.3104,
      0.2993,
      0.3086,
      0.2989,
      0.5944,
      0.2795,
      0.6648,
      0.5072,
      0.6263,
      0.3662,
      0.5444,
      0.4375,
      0.4781,
      0.4875,
      0.2581,
      0.4037,
      0.3188,
      0.5543,
      0.5225,
      0.4773,
      0.3201,
      0.4742,
      0.3521,
      0.3618,
      0.3794,
      0.4714,
      0.4649,
      0.5102,
      0.4497,
      0.5023,
      0.2427,
      0.3929,
      0.4365,
      0.497,
      0.5203,
      0.5012,
      0.4828,
      0.4442,
      0.2129,
      0.5209,
      0.4975,
      0.4866,
      0.2471,
      0.253,
      0.2254,
      0.2459,
      0.2437,
      0.2781,
      0.3736,
      0.3295,
      0.2237,
      0.2526,
      0.2176,
      0.4892,
      0.2156,
      0.6561,
      0.1339,
      0.6408,
      0.0836,
      0,
      0,
      0,
      0,
      0,
      0.2901,
      0.1414,
      0.2054,
      0.1413,
      0.1515,
      0.1784,
      0.0486,
      0.1526,
      0.207,
      0.2427,
      0.2433,
      0.249,
      0.2388,
      0.2415,
      0.2439,
      0.237,
      0.4539,
      0.3188,
      0.3261,
      0.483,
      0.3156,
      0.3649,
      0.3064,
      0.2547,
      0.3698,
      0.3822,
      0.3154,
      0.4013,
      0.4757,
      0.4053,
      0.189,
      0.215,
      0.2678,
      0.3698,
      0.3582,
      0.3227,
      0.4459,
      0.3546,
      0.3835,
      0.3251,
      0.232,
      0.3617,
      0.4532,
      0.2647,
      0.5198,
      0.2427,
      0.5645,
      0.3649,
      0.5693,
      0.4083,
      0.5796,
      0.5065,
      0.5145,
      0.337,
      0.2186,
      0.3332,
      0.3268,
      0.2976,
      0.332,
      0.274,
      0.407,
      0.607,
      0.423,
      0.3918,
      0.2744,
      0.4236,
      0.3089,
      0.258,
      0.2501,
      0.3584,
      0.2533,
      0.2025,
      0.287,
      0.4472,
      0.4024,
      0.3489,
      0.3987,
      0.3783,
      0.4716,
      0.3186,
      0.3781,
      0.3282,
      0.4453,
      0.4775,
      0.4733,
      0.4102,
      0.3219,
      0.3704,
      0.3978,
      0.4942,
      0.3533,
      0.4219,
      0.3968,
      0.5199,
      0.4,
      0.6335,
      0.5189,
      0.5813,
      0.4223,
      0.5774,
      0.4148,
      0.4524,
      0.4989,
      0.2674,
      0.4138,
      0.3827,
      0.5676,
      0.5188,
      0.4953,
      0.4561,
      0.4719,
      0.3847,
      0.4035,
      0.4253,
      0.4932,
      0.4453,
      0.2325,
      0.4506,
      0.5567,
      0.337,
      0.242,
      0.3156,
      0.5036,
      0.3802,
      0.496,
      0.3105,
      0.5806,
      0.4601,
      0.3763,
      0.3865,
      0.2687,
      0.2798,
      0.3102,
      0.2101,
      0.5099,
      0.4982,
      0.4601,
      0.4447,
      0.2325,
      0.248,
      0.3377,
      0.3025,
      0.5617,
      0.349,
      0.5924,
      0.3562,
      0.5693,
      0.2989,
      0.5446,
      0.3461,
      0.4906,
      0.4652,
      0.2573,
      0.1629,
      0.2685,
      0.2826,
      0.3589,
      0.4011,
      0.4813,
      0.3689,
      0.418,
      0.3794,
      0.3288,
      0.5156,
      0.4249,
      0.3127,
      0.2154,
      0.2934,
      0.3321,
      0.2391,
      0.2136,
      0.4484,
      0.4755,
      0.3382,
      0.3637,
      0.4991,
      0.3712,
      0.2131,
      0.2431,
      0.2852,
      0.4526,
      0.4938,
      0.4792,
      0.4078,
      0.3211,
      0.3995,
      0.4008,
      0.537,
      0.3384,
      0.4396,
      0.4089,
      0.5201,
      0.5413,
      0.6147,
      0.4779,
      0.5634,
      0.3295,
      0.5597,
      0.4164,
      0.4139,
      0.4989,
      0.2973,
      0.5077,
      0.3816,
      0.552,
      0.5113,
      0.4661,
      0.4253,
      0.4235,
      0.3979,
      0.4526,
      0.3647,
      0.4872,
      0.2021,
      0.1274,
      0.2339,
      0.2577,
      0.2728,
      0.4151,
      0.2902,
      0.2879,
      0.2874,
      0.3482,
      0.3539,
      0.4304,
      0.4582,
      0.1711,
      0.403,
      0.4296,
      0.2468,
      0.3665,
      0.2477,
      0.3717,
      0.2808,
      0.2993,
      0.3449,
      0.2995,
      0.2849,
      0.3061,
      0.2434,
      0.5241,
      0.2283,
      0.5584,
      0.5297,
      0.578,
      0.2929,
      0.5839,
      0.4343,
      0.3736,
      0.4934,
      0.3109,
      0.5145,
      0.3762,
      0.5198,
      0.4533,
      0.4543,
      0.3754,
      0.4989,
      0.3925,
      0.4685,
      0.4038,
      0.5335,
      0.5191,
      0.4874,
      0.4548,
      0.4609,
      0.3061,
      0.3864,
      0.5317,
      0.5908,
      0.4905,
      0.5904,
      0.4203,
      0.4257,
      0.326,
      0.5121,
      0.5114,
      0.4197,
      0.3191,
      0.2246,
      0.2183,
      0.1673,
      0.2461,
      0.2402,
      0.3746,
      0.2336,
      0.2847,
      0.2544,
      0.1764,
      0.3723,
      0.2815,
      0.5715,
      0.2211,
      0.5354,
      0.032,
      0,
      0,
      0,
      0,
      0,
      0.2669,
      0.163,
      0.2666,
      0.2126,
      0.2555,
      0.1847,
      0.1002,
      0.209,
      0.1772,
      0.1193,
      0.093,
      0.1343,
      0.1111,
      0.1092,
      0.1287,
      0.1774,
      0.5066,
      0.5171,
      0.535,
      0.56,
      0.401,
      0.3642,
      0.4186,
      0.3066,
      0.419,
      0.4227,
      0.4045,
      0.3767,
      0.4596,
      0.3177,
      0.2457,
      0.2497,
      0.2316,
      0.5642,
      0.3324,
      0.3323,
      0.4219,
      0.3868,
      0.3831,
      0.4443,
      0.284,
      0.3624,
      0.4793,
      0.2839,
      0.4876,
      0.2041,
      0.5914,
      0.3011,
      0.5849,
      0.2918,
      0.5447,
      0.5079,
      0.4609,
      0.435,
      0.338,
      0.3803,
      0.4266,
      0.3624,
      0.3301,
      0.3202,
      0.38,
      0.6143,
      0.4829,
      0.3946,
      0.3598,
      0.4274,
      0.395,
      0.2861,
      0.4215,
      0.4493,
      0.3347,
      0.1955,
      0.2272,
      0.3801,
      0.4477,
      0.3133,
      0.3484,
      0.405,
      0.4041,
      0.3614,
      0.3859,
      0.2881,
      0.5466,
      0.4967,
      0.4053,
      0.4486,
      0.3517,
      0.5411,
      0.3809,
      0.4948,
      0.3374,
      0.4755,
      0.4316,
      0.5288,
      0.419,
      0.6553,
      0.4268,
      0.5506,
      0.4363,
      0.5874,
      0.4596,
      0.5192,
      0.4157,
      0.3184,
      0.5414,
      0.3964,
      0.5346,
      0.571,
      0.4975,
      0.4729,
      0.5131,
      0.3484,
      0.435,
      0.4405,
      0.4025,
      0.5164,
      0.3902,
      0.4727,
      0.5226,
      0.356,
      0.2327,
      0.3519,
      0.5362,
      0.4376,
      0.5441,
      0.4485,
      0.5641,
      0.4425,
      0.3679,
      0.4714,
      0.3629,
      0.4022,
      0.3341,
      0.3753,
      0.5321,
      0.4975,
      0.4656,
      0.3985,
      0.4918,
      0.3232,
      0.383,
      0.3852,
      0.5406,
      0.3664,
      0.6234,
      0.3488,
      0.5862,
      0.2902,
      0.5032,
      0.3902,
      0.4418,
      0.5151,
      0.3575,
      0.322,
      0.3971,
      0.3391,
      0.3682,
      0.3766,
      0.4609,
      0.4175,
      0.4219,
      0.3924,
      0.3118,
      0.4447,
      0.3482,
      0.3297,
      0.4254,
      0.4094,
      0.4061,
      0.2099,
      0.2349,
      0.3927,
      0.4849,
      0.3808,
      0.3911,
      0.4981,
      0.2969,
      0.2214,
      0.1995,
      0.2429,
      0.5506,
      0.4931,
      0.4438,
      0.4542,
      0.3443,
      0.5238,
      0.4117,
      0.4651,
      0.3025,
      0.4775,
      0.4144,
      0.5213,
      0.4941,
      0.6526,
      0.3831,
      0.6142,
      0.4302,
      0.585,
      0.4816,
      0.4835,
      0.4588,
      0.332,
      0.5513,
      0.3353,
      0.5335,
      0.5569,
      0.4744,
      0.4407,
      0.4711,
      0.3805,
      0.5304,
      0.4374,
      0.4649,
      0.205,
      0.1789,
      0.2796,
      0.2514,
      0.2093,
      0.4188,
      0.2531,
      0.3016,
      0.2528,
      0.2624,
      0.3873,
      0.4385,
      0.4609,
      0.1936,
      0.4068,
      0.5043,
      0.3679,
      0.3341,
      0.2518,
      0.387,
      0.2873,
      0.4148,
      0.3164,
      0.2556,
      0.2604,
      0.3787,
      0.2435,
      0.4826,
      0.2243,
      0.5635,
      0.4399,
      0.577,
      0.3474,
      0.6137,
      0.4626,
      0.3534,
      0.405,
      0.385,
      0.5244,
      0.4456,
      0.486,
      0.5356,
      0.465,
      0.506,
      0.3644,
      0.3862,
      0.4646,
      0.4429,
      0.4465,
      0.4943,
      0.4191,
      0.4136,
      0.5354,
      0.3498,
      0.4103,
      0.5004,
      0.477,
      0.4547,
      0.61,
      0.4572,
      0.3241,
      0.2573,
      0.5448,
      0.5199,
      0.3488,
      0.4378,
      0.4145,
      0.4104,
      0.3728,
      0.428,
      0.3745,
      0.3925,
      0.2613,
      0.2141,
      0.2465,
      0.1874,
      0.359,
      0.3741,
      0.537,
      0.2724,
      0.6153,
      0,
      0,
      0,
      0,
      0,
      0,
      0.269,
      0.2316,
      0.2356,
      0.0517,
      0.1833,
      0.0679,
      0.1949,
      0.1038,
      0.1847,
      0.1332,
      0.1534,
      0.0406,
      0.134,
      0.1941,
      0.1833,
      0.2151,
      0.4861,
      0.6017,
      0.299,
      0.4071,
      0.3129,
      0.3916,
      0.3687,
      0.3333,
      0.4922,
      0.5528,
      0.4109,
      0.3468,
      0.4406,
      0.2683,
      0.3042,
      0.1227,
      0.2389,
      0.4896,
      0.3904,
      0.3406,
      0.4211,
      0.4142,
      0.4503,
      0.364,
      0.2203,
      0.4582,
      0.4617,
      0.3282,
      0.4805,
      0.2554,
      0.6035,
      0.4288,
      0.5995,
      0.3914,
      0.5804,
      0.5174,
      0.4658,
      0.4075,
      0.2296,
      0.3213,
      0.337,
      0.362,
      0.287,
      0.3168,
      0.397,
      0.4959,
      0.4637,
      0.3537,
      0.4112,
      0.5013,
      0.3722,
      0.2102,
      0.366,
      0.3946,
      0.3215,
      0.1583,
      0.3177,
      0.4996,
      0.462,
      0.3576,
      0.327,
      0.2948,
      0.4798,
      0.2828,
      0.2756,
      0.2618,
      0.4016,
      0.4113,
      0.4277,
      0.4634,
      0.2677,
      0.4411,
      0.3948,
      0.4756,
      0.3474,
      0.4726,
      0.3419,
      0.5296,
      0.5558,
      0.7264,
      0.46,
      0.5988,
      0.3543,
      0.6189,
      0.4563,
      0.4378,
      0.4776,
      0.2303,
      0.4005,
      0.4114,
      0.5087,
      0.3953,
      0.4935,
      0.4891,
      0.4227,
      0.423,
      0.4449,
      0.3327,
      0.4831,
      0.4621,
      0.3554,
      0.3004,
      0.4538,
      0.3355,
      0.2028,
      0.3669,
      0.4036,
      0.4193,
      0.5366,
      0.3896,
      0.5772,
      0.336,
      0.3051,
      0.3936,
      0.3792,
      0.2858,
      0.4896,
      0.3326,
      0.4694,
      0.4864,
      0.4759,
      0.5616,
      0.3441,
      0.2933,
      0.4368,
      0.3674,
      0.548,
      0.2791,
      0.6372,
      0.4169,
      0.5754,
      0.291,
      0.5619,
      0.3871,
      0.5348,
      0.4553,
      0.2469,
      0.1547,
      0.3043,
      0.2648,
      0.3584,
      0.2807,
      0.4655,
      0.3869,
      0.4449,
      0.3238,
      0.2572,
      0.4355,
      0.2908,
      0.1802,
      0.2274,
      0.2846,
      0.373,
      0.2473,
      0.2465,
      0.4837,
      0.5051,
      0.374,
      0.4026,
      0.4759,
      0.2488,
      0.1831,
      0.2227,
      0.2762,
      0.446,
      0.421,
      0.4266,
      0.4593,
      0.2884,
      0.4081,
      0.3656,
      0.4289,
      0.3425,
      0.495,
      0.3729,
      0.5523,
      0.5105,
      0.7177,
      0.4643,
      0.5972,
      0.3473,
      0.6101,
      0.4432,
      0.4521,
      0.4491,
      0.33,
      0.4577,
      0.4413,
      0.5253,
      0.3908,
      0.5026,
      0.4786,
      0.3869,
      0.3633,
      0.442,
      0.3394,
      0.4713,
      0.1799,
      0.1363,
      0.2646,
      0.3164,
      0.2448,
      0.2597,
      0.3078,
      0.215,
      0.2955,
      0.302,
      0.4216,
      0.3722,
      0.4089,
      0.2663,
      0.4173,
      0.3669,
      0.3764,
      0.2605,
      0.0787,
      0.3935,
      0.2753,
      0.3933,
      0.3325,
      0.2745,
      0.2165,
      0.2703,
      0.2791,
      0.5373,
      0.2526,
      0.5757,
      0.4385,
      0.5961,
      0.356,
      0.6269,
      0.4168,
      0.3826,
      0.4603,
      0.3265,
      0.4839,
      0.4517,
      0.4971,
      0.3548,
      0.5131,
      0.4968,
      0.4285,
      0.3876,
      0.4221,
      0.3815,
      0.4811,
      0.2977,
      0.4685,
      0.3926,
      0.5167,
      0.303,
      0.4111,
      0.3878,
      0.488,
      0.4544,
      0.5639,
      0.4098,
      0.4002,
      0.1465,
      0.5311,
      0.5648,
      0.3565,
      0.2149,
      0.2731,
      0.223,
      0.2451,
      0.2323,
      0.2597,
      0.3489,
      0.2349,
      0.3169,
      0.2419,
      0.2004,
      0.3281,
      0.3325,
      0.5482,
      0.3123,
      0.5871,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2305,
      0.2512,
      0.267,
      0.1225,
      0.1286,
      0.1261,
      0.1454,
      0.1488,
      0.1945,
      0.0832,
      0.0924,
      0.0889,
      0.0822,
      0.0314,
      0.1771,
      0.0638,
      0.4865,
      0.3909,
      0.2958,
      0.4238,
      0.3185,
      0.4159,
      0.345,
      0.3098,
      0.5569,
      0.5024,
      0.3595,
      0.4038,
      0.3334,
      0.3135,
      0.2504,
      0.1595,
      0.2072,
      0.2556,
      0.3399,
      0.4484,
      0.3792,
      0.4294,
      0.3888,
      0.3333,
      0.2907,
      0.3742,
      0.3694,
      0.27,
      0.5574,
      0.3017,
      0.6378,
      0.4097,
      0.5922,
      0.3458,
      0.6034,
      0.493,
      0.4608,
      0.3827,
      0.1058,
      0.331,
      0.3214,
      0.383,
      0.3547,
      0.3066,
      0.4149,
      0.5601,
      0.4728,
      0.3561,
      0.4471,
      0.5171,
      0.2743,
      0.2709,
      0.3223,
      0.4522,
      0.3534,
      0.2898,
      0.2745,
      0.5345,
      0.4995,
      0.4049,
      0.4251,
      0.2875,
      0.404,
      0.2966,
      0.248,
      0.283,
      0.406,
      0.5054,
      0.3704,
      0.4204,
      0.2993,
      0.5118,
      0.3729,
      0.3797,
      0.4006,
      0.4923,
      0.4337,
      0.5655,
      0.5483,
      0.6869,
      0.4779,
      0.6046,
      0.3508,
      0.6133,
      0.4458,
      0.3804,
      0.5149,
      0.2999,
      0.5365,
      0.444,
      0.4189,
      0.438,
      0.4244,
      0.4459,
      0.5303,
      0.4131,
      0.4267,
      0.4024,
      0.459,
      0.4803,
      0.2815,
      0.2505,
      0.4641,
      0.4032,
      0.2643,
      0.3426,
      0.5493,
      0.4677,
      0.5147,
      0.4282,
      0.5823,
      0.4046,
      0.3573,
      0.4415,
      0.218,
      0.3024,
      0.4463,
      0.2736,
      0.3911,
      0.5262,
      0.3825,
      0.5646,
      0.286,
      0.233,
      0.5685,
      0.3732,
      0.572,
      0.2552,
      0.6276,
      0.4438,
      0.6239,
      0.261,
      0.5989,
      0.4024,
      0.564,
      0.3987,
      0.2134,
      0.1077,
      0.2399,
      0.3233,
      0.4002,
      0.2351,
      0.4424,
      0.4188,
      0.4197,
      0.3523,
      0.3932,
      0.4438,
      0.2497,
      0.1846,
      0.263,
      0.2872,
      0.3814,
      0.2758,
      0.3158,
      0.5061,
      0.5673,
      0.4098,
      0.3935,
      0.4481,
      0.2631,
      0.1569,
      0.2663,
      0.2864,
      0.4098,
      0.4958,
      0.3463,
      0.4249,
      0.2949,
      0.4945,
      0.3629,
      0.4514,
      0.3909,
      0.4809,
      0.4785,
      0.5821,
      0.4741,
      0.6759,
      0.4357,
      0.6334,
      0.3819,
      0.599,
      0.4233,
      0.3855,
      0.4736,
      0.3025,
      0.5511,
      0.4252,
      0.434,
      0.4795,
      0.4245,
      0.4373,
      0.4486,
      0.4135,
      0.4445,
      0.3696,
      0.4924,
      0.1741,
      0.267,
      0.3645,
      0.3143,
      0.2284,
      0.3173,
      0.3173,
      0.135,
      0.3021,
      0.2496,
      0.4691,
      0.3903,
      0.4275,
      0.296,
      0.4801,
      0.2791,
      0.4035,
      0.3409,
      0.0949,
      0.3669,
      0.2641,
      0.4142,
      0.2647,
      0.2676,
      0.23,
      0.3046,
      0.2926,
      0.5996,
      0.2755,
      0.6405,
      0.4763,
      0.6144,
      0.3458,
      0.6139,
      0.4235,
      0.3038,
      0.4697,
      0.2841,
      0.5103,
      0.4105,
      0.4091,
      0.3679,
      0.402,
      0.4648,
      0.4754,
      0.4884,
      0.4486,
      0.3526,
      0.5222,
      0.4114,
      0.5301,
      0.475,
      0.3979,
      0.2922,
      0.3843,
      0.4045,
      0.5569,
      0.5356,
      0.6261,
      0.392,
      0.407,
      0.2491,
      0.5286,
      0.6018,
      0.3025,
      0.3257,
      0.1673,
      0.1932,
      0.1752,
      0.108,
      0.2733,
      0.2723,
      0.2706,
      0.2604,
      0.2829,
      0.2521,
      0.4583,
      0.3363,
      0.612,
      0.1958,
      0.6106,
      0,
      0,
      0,
      0,
      0,
      0,
      0.325,
      0.2873,
      0.2519,
      0.2743,
      0.2546,
      0.2191,
      0.3213,
      0.1411,
      0.1627,
      0.062,
      0.0633,
      0.0597,
      0.1204,
      0.0225,
      0.231,
      0.139,
      0.4606,
      0.3297,
      0.2721,
      0.3438,
      0.3339,
      0.3873,
      0.4002,
      0.2891,
      0.5869,
      0.5114,
      0.4314,
      0.4262,
      0.3838,
      0.2621,
      0.2753,
      0.1259,
      0.237,
      0.2853,
      0.3043,
      0.4723,
      0.4546,
      0.3688,
      0.4513,
      0.2856,
      0.2508,
      0.2874,
      0.4456,
      0.2511,
      0.5719,
      0.2327,
      0.6336,
      0.4857,
      0.6134,
      0.3889,
      0.5947,
      0.5031,
      0.5092,
      0.4064,
      0.2583,
      0.4248,
      0.3914,
      0.3498,
      0.3584,
      0.3655,
      0.5064,
      0.6178,
      0.5664,
      0.3829,
      0.4915,
      0.4605,
      0.358,
      0.282,
      0.3282,
      0.4435,
      0.3816,
      0.3307,
      0.2803,
      0.5808,
      0.5009,
      0.4622,
      0.4206,
      0.2483,
      0.4589,
      0.3235,
      0.1825,
      0.287,
      0.3935,
      0.4778,
      0.3348,
      0.3914,
      0.2803,
      0.4456,
      0.4042,
      0.3624,
      0.3288,
      0.416,
      0.4428,
      0.5304,
      0.5661,
      0.6349,
      0.526,
      0.6118,
      0.345,
      0.5899,
      0.4206,
      0.3965,
      0.5332,
      0.2737,
      0.6102,
      0.3308,
      0.5219,
      0.3814,
      0.4047,
      0.5236,
      0.5514,
      0.5658,
      0.4887,
      0.5031,
      0.3732,
      0.4732,
      0.2297,
      0.3191,
      0.4581,
      0.3766,
      0.268,
      0.3345,
      0.5664,
      0.4935,
      0.5259,
      0.4248,
      0.5264,
      0.3926,
      0.3297,
      0.3024,
      0.2087,
      0.3515,
      0.3756,
      0.2242,
      0.4176,
      0.4807,
      0.4617,
      0.3561,
      0.2839,
      0.2696,
      0.4455,
      0.385,
      0.5543,
      0.2253,
      0.5956,
      0.4886,
      0.5927,
      0.3023,
      0.5831,
      0.4113,
      0.5277,
      0.3622,
      0.2333,
      0.1124,
      0.1899,
      0.3017,
      0.3619,
      0.3409,
      0.5985,
      0.4453,
      0.558,
      0.3582,
      0.4647,
      0.4521,
      0.2895,
      0.2674,
      0.3364,
      0.3572,
      0.3822,
      0.3229,
      0.2921,
      0.5426,
      0.6077,
      0.3825,
      0.4208,
      0.487,
      0.2276,
      0.1527,
      0.2158,
      0.2919,
      0.3408,
      0.4472,
      0.3829,
      0.3568,
      0.2338,
      0.4849,
      0.3702,
      0.5273,
      0.3456,
      0.4899,
      0.4319,
      0.5261,
      0.5073,
      0.6279,
      0.467,
      0.6247,
      0.362,
      0.5864,
      0.4017,
      0.4177,
      0.5217,
      0.2849,
      0.573,
      0.343,
      0.545,
      0.4309,
      0.365,
      0.5324,
      0.5427,
      0.5721,
      0.5396,
      0.4872,
      0.4026,
      0.2967,
      0.3041,
      0.3723,
      0.2666,
      0.2767,
      0.3253,
      0.2551,
      0.1976,
      0.2015,
      0.316,
      0.4664,
      0.3767,
      0.402,
      0.2634,
      0.4326,
      0.3214,
      0.4045,
      0.3475,
      0.1533,
      0.3984,
      0.2776,
      0.4509,
      0.2814,
      0.3038,
      0.3079,
      0.3246,
      0.2558,
      0.5599,
      0.2312,
      0.6208,
      0.4485,
      0.5998,
      0.3152,
      0.578,
      0.3918,
      0.3689,
      0.494,
      0.2852,
      0.5262,
      0.4009,
      0.4441,
      0.3584,
      0.4263,
      0.5046,
      0.5259,
      0.5636,
      0.5098,
      0.4406,
      0.4674,
      0.3815,
      0.4954,
      0.4489,
      0.4938,
      0.3494,
      0.4711,
      0.4008,
      0.576,
      0.5218,
      0.6315,
      0.3311,
      0.4485,
      0.2771,
      0.4416,
      0.5784,
      0.4181,
      0.2713,
      0.2142,
      0.1835,
      0.2628,
      0.1288,
      0.2055,
      0.2605,
      0.1615,
      0.2975,
      0.2821,
      0.2826,
      0.4446,
      0.3399,
      0.5905,
      0.1549,
      0.6141,
      0.0732,
      0,
      0,
      0,
      0,
      0,
      0.2649,
      0.2537,
      0.1358,
      0.2086,
      0.2004,
      0.1168,
      0.2301,
      0.2029,
      0.1994,
      0.1123,
      0.0496,
      0.1467,
      0.1009,
      0.0756,
      0.2264,
      0.1843,
      0.5101,
      0.3566,
      0.2192,
      0.3185,
      0.2457,
      0.3776,
      0.3517,
      0.3369,
      0.5816,
      0.4959,
      0.4059,
      0.4182,
      0.3621,
      0.3068,
      0.2446,
      0.1482,
      0.173,
      0.2376,
      0.3695,
      0.1945,
      0.4268,
      0.4672,
      0.4416,
      0.294,
      0.2885,
      0.289,
      0.4551,
      0.2914,
      0.5419,
      0.1961,
      0.5795,
      0.4193,
      0.5273,
      0.3609,
      0.594,
      0.4834,
      0.4546,
      0.3949,
      0.2386,
      0.3738,
      0.3479,
      0.3477,
      0.3363,
      0.2768,
      0.4558,
      0.5486,
      0.5157,
      0.3324,
      0.4729,
      0.5106,
      0.3232,
      0.2526,
      0.3387,
      0.4827,
      0.3443,
      0.3002,
      0.2614,
      0.5139,
      0.487,
      0.4109,
      0.4084,
      0.3168,
      0.4802,
      0.2132,
      0.2341,
      0.2373,
      0.4809,
      0.316,
      0.3878,
      0.4324,
      0.3269,
      0.4498,
      0.3822,
      0.4324,
      0.4275,
      0.4545,
      0.4441,
      0.5586,
      0.5452,
      0.6191,
      0.5393,
      0.534,
      0.3105,
      0.5732,
      0.482,
      0.4109,
      0.5592,
      0.1779,
      0.5832,
      0.3946,
      0.5559,
      0.4848,
      0.4557,
      0.4404,
      0.4718,
      0.5192,
      0.4362,
      0.4756,
      0.4334,
      0.4091,
      0.2812,
      0.2634,
      0.4439,
      0.356,
      0.2956,
      0.3082,
      0.5037,
      0.4809,
      0.5098,
      0.4268,
      0.5662,
      0.3827,
      0.2569,
      0.347,
      0.1862,
      0.4387,
      0.3342,
      0.211,
      0.4269,
      0.522,
      0.445,
      0.3205,
      0.2806,
      0.2626,
      0.4242,
      0.3005,
      0.532,
      0.2166,
      0.571,
      0.4358,
      0.5587,
      0.2839,
      0.5879,
      0.3359,
      0.5151,
      0.3929,
      0.1273,
      0.1297,
      0.2528,
      0.2761,
      0.3068,
      0.2295,
      0.5435,
      0.4657,
      0.5213,
      0.3327,
      0.447,
      0.5182,
      0.3366,
      0.2696,
      0.2868,
      0.2893,
      0.3137,
      0.3094,
      0.2328,
      0.4846,
      0.5049,
      0.4604,
      0.403,
      0.5334,
      0.3298,
      0.2087,
      0.2572,
      0.2717,
      0.387,
      0.3948,
      0.4195,
      0.4664,
      0.336,
      0.4601,
      0.368,
      0.4827,
      0.4245,
      0.5016,
      0.4885,
      0.5616,
      0.4783,
      0.6036,
      0.4789,
      0.5778,
      0.2611,
      0.6,
      0.4446,
      0.4292,
      0.5547,
      0.2922,
      0.565,
      0.3966,
      0.5691,
      0.4852,
      0.4478,
      0.4847,
      0.4823,
      0.5522,
      0.5054,
      0.4861,
      0.4515,
      0.3055,
      0.2536,
      0.4045,
      0.2573,
      0.2984,
      0.3696,
      0.2353,
      0.2732,
      0.2145,
      0.2698,
      0.4149,
      0.4233,
      0.4375,
      0.2288,
      0.4894,
      0.3763,
      0.2573,
      0.3807,
      0.1712,
      0.4457,
      0.3559,
      0.4613,
      0.3304,
      0.3191,
      0.3628,
      0.3703,
      0.238,
      0.5658,
      0.2181,
      0.5442,
      0.3838,
      0.556,
      0.3284,
      0.5622,
      0.4233,
      0.4242,
      0.539,
      0.2955,
      0.5414,
      0.3794,
      0.4253,
      0.3929,
      0.4368,
      0.4213,
      0.5022,
      0.5288,
      0.4673,
      0.4087,
      0.4532,
      0.3225,
      0.535,
      0.4764,
      0.3533,
      0.331,
      0.4305,
      0.3654,
      0.5202,
      0.4942,
      0.6403,
      0.4284,
      0.3939,
      0.269,
      0.4841,
      0.5567,
      0.4581,
      0.2758,
      0.1433,
      0.1556,
      0.2424,
      0.1725,
      0.2438,
      0.2567,
      0.235,
      0.2534,
      0.3089,
      0.1995,
      0.4276,
      0.2902,
      0.5263,
      0.2422,
      0.5402,
      0.0778,
      0,
      0,
      0,
      0,
      0,
      0.2625,
      0.2065,
      0.1854,
      0.1464,
      0.247,
      0.1612,
      0.0159,
      0.182,
      0.2027,
      0.1688,
      0.0298,
      0.1115,
      0.2077,
      0.1538,
      0.2636,
      0.2181,
      0.4325,
      0.2712,
      0.2636,
      0.2804,
      0.2415,
      0.3611,
      0.277,
      0.3158,
      0.4511,
      0.3594,
      0.3061,
      0.3886,
      0.4009,
      0.2906,
      0.278,
      0.1848,
      0.2445,
      0.341,
      0.3635,
      0.1903,
      0.3543,
      0.3915,
      0.3826,
      0.3339,
      0.2639,
      0.2184,
      0.4533,
      0.2561,
      0.538,
      0.1782,
      0.6582,
      0.3695,
      0.5707,
      0.2932,
      0.485,
      0.4204,
      0.4779,
      0.3699,
      0.2279,
      0.3594,
      0.3071,
      0.3463,
      0.259,
      0.3397,
      0.2842,
      0.5844,
      0.4422,
      0.2755,
      0.3782,
      0.5417,
      0.2889,
      0.2197,
      0.1992,
      0.4386,
      0.3414,
      0.2226,
      0.2672,
      0.4675,
      0.3294,
      0.3634,
      0.3412,
      0.3304,
      0.4707,
      0.314,
      0.2446,
      0.2791,
      0.4361,
      0.279,
      0.3975,
      0.449,
      0.2541,
      0.481,
      0.3433,
      0.335,
      0.3353,
      0.5018,
      0.4287,
      0.5009,
      0.6234,
      0.669,
      0.491,
      0.6194,
      0.3439,
      0.5292,
      0.4447,
      0.4877,
      0.545,
      0.2021,
      0.6023,
      0.3623,
      0.4696,
      0.4272,
      0.4501,
      0.4434,
      0.5459,
      0.3882,
      0.4533,
      0.4473,
      0.4493,
      0.3243,
      0.1767,
      0.2794,
      0.3877,
      0.3326,
      0.2422,
      0.2243,
      0.4862,
      0.3527,
      0.4111,
      0.3622,
      0.4842,
      0.3594,
      0.2674,
      0.4497,
      0.1911,
      0.4419,
      0.272,
      0.1905,
      0.4576,
      0.536,
      0.4428,
      0.3223,
      0.2509,
      0.2262,
      0.4468,
      0.291,
      0.5463,
      0.2444,
      0.6561,
      0.4047,
      0.5267,
      0.2444,
      0.5217,
      0.3349,
      0.3673,
      0.4139,
      0.1409,
      0.1424,
      0.2415,
      0.261,
      0.2868,
      0.2338,
      0.3878,
      0.4671,
      0.4028,
      0.3254,
      0.348,
      0.4646,
      0.3231,
      0.197,
      0.1796,
      0.3484,
      0.2913,
      0.2309,
      0.2185,
      0.4606,
      0.4637,
      0.4233,
      0.3108,
      0.4814,
      0.2584,
      0.1905,
      0.2485,
      0.2526,
      0.3979,
      0.3256,
      0.334,
      0.4737,
      0.2745,
      0.4819,
      0.3773,
      0.4515,
      0.3763,
      0.5353,
      0.4692,
      0.5258,
      0.5467,
      0.6453,
      0.4491,
      0.5722,
      0.3016,
      0.5023,
      0.4505,
      0.4947,
      0.4857,
      0.2265,
      0.5687,
      0.3869,
      0.5053,
      0.437,
      0.4045,
      0.4318,
      0.499,
      0.4461,
      0.5304,
      0.417,
      0.4585,
      0.1276,
      0.1357,
      0.3874,
      0.2496,
      0.2428,
      0.2503,
      0.1816,
      0.2143,
      0.3191,
      0.325,
      0.4239,
      0.4193,
      0.4479,
      0.1956,
      0.4583,
      0.3735,
      0.2561,
      0.316,
      0.0692,
      0.4398,
      0.2405,
      0.4091,
      0.3197,
      0.3268,
      0.2592,
      0.3133,
      0.2846,
      0.6055,
      0.262,
      0.6599,
      0.4248,
      0.5758,
      0.3432,
      0.5557,
      0.366,
      0.4652,
      0.5342,
      0.208,
      0.5378,
      0.311,
      0.5213,
      0.3289,
      0.3911,
      0.4557,
      0.4543,
      0.3883,
      0.422,
      0.3551,
      0.4164,
      0.2692,
      0.4803,
      0.4542,
      0.3363,
      0.239,
      0.4187,
      0.4835,
      0.5087,
      0.415,
      0.5258,
      0.3712,
      0.4381,
      0.2721,
      0.6223,
      0.4812,
      0.3922,
      0.2539,
      0.1646,
      0.0795,
      0.2743,
      0.1933,
      0.3049,
      0.3203,
      0.1758,
      0.1621,
      0.2613,
      0.164,
      0.4624,
      0.1908,
      0.5927,
      0.1909,
      0.583,
      0.0056,
      0,
      0,
      0,
      0,
      0,
      0.2771,
      0.2297,
      0.216,
      0.1259,
      0.2031,
      0.1991,
      0.0875,
      0.1618,
      0.2418,
      0.1306,
      0.1962,
      0.1445,
      0.1935,
      0.1284,
      0.2255,
      0.1706,
      0.3935,
      0.3279,
      0.21,
      0.2952,
      0.3236,
      0.419,
      0.4699,
      0.3398,
      0.5921,
      0.5107,
      0.4123,
      0.4059,
      0.3752,
      0.2164,
      0.1791,
      0.2293,
      0.2401,
      0.244,
      0.3424,
      0.1971,
      0.438,
      0.4748,
      0.4086,
      0.3619,
      0.33,
      0.245,
      0.4413,
      0.3066,
      0.5867,
      0.255,
      0.6474,
      0.5218,
      0.6425,
      0.3981,
      0.519,
      0.4447,
      0.4343,
      0.2375,
      0.2601,
      0.3299,
      0.2211,
      0.2942,
      0.3073,
      0.4003,
      0.4458,
      0.5341,
      0.5138,
      0.3492,
      0.4604,
      0.5436,
      0.3036,
      0.2833,
      0.2173,
      0.453,
      0.3685,
      0.3064,
      0.3818,
      0.5655,
      0.4912,
      0.3443,
      0.4187,
      0.2809,
      0.4221,
      0.2798,
      0.2861,
      0.2808,
      0.4104,
      0.4226,
      0.4002,
      0.4749,
      0.3151,
      0.4601,
      0.3553,
      0.4687,
      0.3326,
      0.4609,
      0.4101,
      0.5667,
      0.6276,
      0.633,
      0.5252,
      0.6712,
      0.3688,
      0.493,
      0.4683,
      0.4733,
      0.5659,
      0.2277,
      0.5436,
      0.3649,
      0.5002,
      0.4686,
      0.428,
      0.4644,
      0.5097,
      0.5161,
      0.4429,
      0.4331,
      0.4211,
      0.3711,
      0.2061,
      0.2149,
      0.4441,
      0.3776,
      0.3361,
      0.3379,
      0.5755,
      0.5066,
      0.4564,
      0.384,
      0.4564,
      0.2498,
      0.3481,
      0.4322,
      0.1956,
      0.2619,
      0.445,
      0.1753,
      0.4608,
      0.4049,
      0.4712,
      0.3487,
      0.3292,
      0.2331,
      0.4264,
      0.3393,
      0.5939,
      0.2575,
      0.6081,
      0.511,
      0.6493,
      0.329,
      0.539,
      0.3658,
      0.3745,
      0.3772,
      0.2301,
      0.0544,
      0.216,
      0.3269,
      0.2705,
      0.2475,
      0.4938,
      0.4903,
      0.5201,
      0.3749,
      0.424,
      0.4843,
      0.2551,
      0.3114,
      0.1803,
      0.3552,
      0.4031,
      0.3324,
      0.3248,
      0.5781,
      0.5236,
      0.4713,
      0.3972,
      0.4713,
      0.2332,
      0.1378,
      0.2672,
      0.2698,
      0.4153,
      0.3964,
      0.4005,
      0.4707,
      0.3025,
      0.4752,
      0.377,
      0.4583,
      0.3203,
      0.4943,
      0.3972,
      0.5859,
      0.5383,
      0.6035,
      0.4539,
      0.6574,
      0.3451,
      0.5505,
      0.4472,
      0.4996,
      0.5387,
      0.2937,
      0.5365,
      0.3467,
      0.4971,
      0.4804,
      0.4267,
      0.4927,
      0.4832,
      0.5196,
      0.51,
      0.4536,
      0.4274,
      0.0371,
      0.1396,
      0.3909,
      0.2539,
      0.2416,
      0.1857,
      0.2796,
      0.2661,
      0.2591,
      0.2736,
      0.449,
      0.397,
      0.4009,
      0.3113,
      0.4633,
      0.3036,
      0.2067,
      0.3573,
      0.138,
      0.401,
      0.3591,
      0.4099,
      0.2556,
      0.3106,
      0.2504,
      0.3365,
      0.2723,
      0.5925,
      0.2864,
      0.6658,
      0.4807,
      0.6428,
      0.368,
      0.5339,
      0.3878,
      0.4582,
      0.5383,
      0.2816,
      0.5587,
      0.2983,
      0.4173,
      0.4538,
      0.4619,
      0.4925,
      0.425,
      0.5411,
      0.4183,
      0.3907,
      0.4587,
      0.2833,
      0.4881,
      0.3688,
      0.499,
      0.3461,
      0.4813,
      0.475,
      0.6222,
      0.508,
      0.4705,
      0.3727,
      0.4544,
      0.1668,
      0.5589,
      0.4971,
      0.377,
      0.2159,
      0.1727,
      0.1015,
      0.2418,
      0.1867,
      0.2846,
      0.2185,
      0.2274,
      0.1822,
      0.3557,
      0.1341,
      0.4606,
      0.1978,
      0.6191,
      0.3288,
      0.6377,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3053,
      0.1981,
      0.236,
      0.1801,
      0.2401,
      0.1234,
      0.1651,
      0.129,
      0.1809,
      0.1005,
      0.1499,
      0.1477,
      0.065,
      0.096,
      0.1442,
      0.1528,
      0.4961,
      0.4788,
      0.359,
      0.4022,
      0.317,
      0.3961,
      0.4421,
      0.2967,
      0.5273,
      0.4471,
      0.387,
      0.3328,
      0.36,
      0.3081,
      0.2335,
      0.1931,
      0.218,
      0.4474,
      0.3429,
      0.2598,
      0.3789,
      0.4345,
      0.4101,
      0.3301,
      0.2841,
      0.2037,
      0.3957,
      0.273,
      0.5181,
      0.2474,
      0.5592,
      0.4443,
      0.6031,
      0.2995,
      0.5953,
      0.3895,
      0.4781,
      0.3443,
      0.3092,
      0.3471,
      0.2846,
      0.3016,
      0.3808,
      0.3104,
      0.5147,
      0.4972,
      0.5192,
      0.4186,
      0.3934,
      0.5775,
      0.423,
      0.2887,
      0.3469,
      0.4309,
      0.3443,
      0.3352,
      0.2626,
      0.5148,
      0.4443,
      0.346,
      0.3102,
      0.3917,
      0.487,
      0.2666,
      0.2671,
      0.2231,
      0.3703,
      0.4063,
      0.4157,
      0.4378,
      0.361,
      0.4,
      0.3803,
      0.4021,
      0.4205,
      0.4086,
      0.4502,
      0.5265,
      0.6383,
      0.6502,
      0.4646,
      0.5801,
      0.3932,
      0.5871,
      0.4175,
      0.4503,
      0.607,
      0.2807,
      0.5972,
      0.3683,
      0.4422,
      0.5435,
      0.4579,
      0.4437,
      0.4555,
      0.5001,
      0.3818,
      0.409,
      0.4074,
      0.4129,
      0.2924,
      0.3287,
      0.4381,
      0.3555,
      0.2888,
      0.2324,
      0.542,
      0.4367,
      0.4375,
      0.4367,
      0.475,
      0.3461,
      0.3721,
      0.3608,
      0.2817,
      0.3131,
      0.4168,
      0.2447,
      0.3803,
      0.502,
      0.4375,
      0.3411,
      0.3195,
      0.2665,
      0.4065,
      0.3294,
      0.5342,
      0.2483,
      0.5179,
      0.4652,
      0.6329,
      0.3303,
      0.6111,
      0.3409,
      0.507,
      0.4425,
      0.3478,
      0.2518,
      0.2707,
      0.2714,
      0.4162,
      0.2742,
      0.5717,
      0.4014,
      0.4965,
      0.3703,
      0.3812,
      0.4511,
      0.2974,
      0.3257,
      0.4165,
      0.3951,
      0.3421,
      0.3377,
      0.295,
      0.546,
      0.4282,
      0.3865,
      0.3614,
      0.4995,
      0.3252,
      0.286,
      0.23,
      0.2882,
      0.4086,
      0.3835,
      0.46,
      0.473,
      0.2982,
      0.3838,
      0.3653,
      0.4518,
      0.4149,
      0.4555,
      0.4094,
      0.5754,
      0.5481,
      0.614,
      0.3876,
      0.5753,
      0.3649,
      0.615,
      0.4625,
      0.4874,
      0.566,
      0.4151,
      0.5639,
      0.3035,
      0.5003,
      0.5757,
      0.4525,
      0.434,
      0.52,
      0.5073,
      0.5175,
      0.4091,
      0.4295,
      0.1126,
      0.2279,
      0.3923,
      0.2313,
      0.2515,
      0.3075,
      0.3409,
      0.167,
      0.2812,
      0.3029,
      0.4315,
      0.3637,
      0.3924,
      0.2766,
      0.445,
      0.3006,
      0.3055,
      0.4136,
      0.2839,
      0.3487,
      0.3376,
      0.4001,
      0.2598,
      0.3195,
      0.2757,
      0.333,
      0.334,
      0.5237,
      0.2561,
      0.5844,
      0.3762,
      0.5975,
      0.4091,
      0.5892,
      0.4406,
      0.405,
      0.5844,
      0.4048,
      0.5443,
      0.3888,
      0.4691,
      0.4813,
      0.4361,
      0.4823,
      0.5178,
      0.4865,
      0.4613,
      0.3852,
      0.4307,
      0.349,
      0.5119,
      0.4037,
      0.5065,
      0.3791,
      0.3892,
      0.5087,
      0.5481,
      0.4817,
      0.6182,
      0.4106,
      0.4282,
      0.3081,
      0.5176,
      0.4959,
      0.381,
      0.3197,
      0.3489,
      0.4056,
      0.2445,
      0.3489,
      0.3273,
      0.3299,
      0.2444,
      0.2184,
      0.2939,
      0.3149,
      0.4543,
      0.3292,
      0.5515,
      0.2861,
      0.5899,
      0.0484,
      0,
      0,
      0,
      0,
      0,
      0.2269,
      0.1526,
      0.2052,
      0.157,
      0.1541,
      0.1368,
      0.0524,
      0.1018,
      0.192,
      0.084,
      0.2082,
      0.1172,
      0.0648,
      0.113,
      0.1315,
      0.1105,
      0.4463,
      0.4927,
      0.2307,
      0.2729,
      0.2176,
      0.3497,
      0.3932,
      0.247,
      0.515,
      0.4337,
      0.4109,
      0.2036,
      0.2958,
      0.1946,
      0.3176,
      0.198,
      0.1751,
      0.3937,
      0.3619,
      0.1455,
      0.3838,
      0.4742,
      0.3489,
      0.3421,
      0.2762,
      0.2496,
      0.4537,
      0.2374,
      0.5214,
      0.1913,
      0.5582,
      0.4074,
      0.6018,
      0.3646,
      0.5575,
      0.3896,
      0.4905,
      0.3169,
      0.3156,
      0.4141,
      0.2885,
      0.3912,
      0.3537,
      0.2612,
      0.4498,
      0.5001,
      0.4523,
      0.2835,
      0.3926,
      0.5149,
      0.2981,
      0.3273,
      0.3341,
      0.391,
      0.2908,
      0.2374,
      0.2907,
      0.4344,
      0.3836,
      0.3403,
      0.3079,
      0.4221,
      0.5186,
      0.3672,
      0.1758,
      0.2067,
      0.4097,
      0.3485,
      0.3726,
      0.4187,
      0.3344,
      0.3771,
      0.3966,
      0.4583,
      0.4046,
      0.4206,
      0.453,
      0.5089,
      0.6536,
      0.6292,
      0.4964,
      0.5902,
      0.3917,
      0.5129,
      0.4507,
      0.4981,
      0.5851,
      0.268,
      0.5846,
      0.4133,
      0.4053,
      0.427,
      0.3989,
      0.3944,
      0.4974,
      0.4566,
      0.4285,
      0.3289,
      0.3042,
      0.304,
      0.265,
      0.2097,
      0.4612,
      0.3779,
      0.2833,
      0.2731,
      0.4029,
      0.4582,
      0.3708,
      0.3515,
      0.4807,
      0.393,
      0.3683,
      0.4026,
      0.1659,
      0.3749,
      0.2715,
      0.2255,
      0.3611,
      0.514,
      0.3804,
      0.3687,
      0.3034,
      0.2667,
      0.3781,
      0.3355,
      0.5339,
      0.1295,
      0.5373,
      0.359,
      0.5937,
      0.2991,
      0.5571,
      0.3695,
      0.5265,
      0.4199,
      0.2748,
      0.1986,
      0.3027,
      0.2665,
      0.3737,
      0.2345,
      0.4989,
      0.3816,
      0.3902,
      0.2751,
      0.3288,
      0.4659,
      0.3717,
      0.1541,
      0.2807,
      0.3667,
      0.3515,
      0.2902,
      0.2438,
      0.4881,
      0.5197,
      0.3869,
      0.236,
      0.4922,
      0.2046,
      0.2427,
      0.181,
      0.263,
      0.3804,
      0.3981,
      0.3515,
      0.4089,
      0.3586,
      0.4337,
      0.4217,
      0.4606,
      0.391,
      0.434,
      0.4327,
      0.5358,
      0.5809,
      0.6354,
      0.4462,
      0.6242,
      0.3349,
      0.5609,
      0.4332,
      0.489,
      0.5714,
      0.2931,
      0.557,
      0.3759,
      0.4853,
      0.3983,
      0.4132,
      0.426,
      0.4257,
      0.4537,
      0.4791,
      0.3987,
      0.3761,
      0.0891,
      0.0783,
      0.2875,
      0.206,
      0.1087,
      0.2535,
      0.2282,
      0.1802,
      0.2799,
      0.2957,
      0.4243,
      0.3623,
      0.3688,
      0.2669,
      0.4128,
      0.2635,
      0.3585,
      0.378,
      0.1738,
      0.351,
      0.2789,
      0.3476,
      0.3601,
      0.3562,
      0.2742,
      0.3292,
      0.2366,
      0.5327,
      0.2159,
      0.5178,
      0.4427,
      0.6171,
      0.363,
      0.4898,
      0.4374,
      0.4682,
      0.5341,
      0.2869,
      0.5485,
      0.4189,
      0.3956,
      0.2794,
      0.3763,
      0.4666,
      0.4316,
      0.4423,
      0.4385,
      0.3294,
      0.4124,
      0.3404,
      0.5205,
      0.4199,
      0.503,
      0.3428,
      0.3579,
      0.4679,
      0.5611,
      0.4091,
      0.6482,
      0.45,
      0.45,
      0.2114,
      0.4806,
      0.4645,
      0.3726,
      0.317,
      0.3095,
      0.349,
      0.2398,
      0.3066,
      0.2914,
      0.365,
      0.1819,
      0.2154,
      0.2926,
      0.2341,
      0.3931,
      0.218,
      0.5022,
      0.1999,
      0.5676,
      0.0539,
      0,
      0,
      0,
      0,
      0,
      0.3051,
      0.2231,
      0.1924,
      0.1322,
      0.166,
      0.0944,
      0.2062,
      0.1142,
      0.2307,
      0.1375,
      0.1341,
      0.1486,
      0.0872,
      0.1628,
      0.171,
      0.1213,
      0.5282,
      0.3043,
      0.1643,
      0.3036,
      0.2371,
      0.3924,
      0.3432,
      0.2958,
      0.429,
      0.4231,
      0.3918,
      0.3025,
      0.3392,
      0.2987,
      0.2493,
      0.1012,
      0.1831,
      0.2582,
      0.2631,
      0.2016,
      0.3887,
      0.4411,
      0.29,
      0.2425,
      0.2832,
      0.1807,
      0.4554,
      0.2564,
      0.5263,
      0.2223,
      0.5729,
      0.3664,
      0.5972,
      0.3876,
      0.5819,
      0.3431,
      0.5155,
      0.2793,
      0.1682,
      0.2666,
      0.1741,
      0.3398,
      0.282,
      0.3211,
      0.3955,
      0.495,
      0.4398,
      0.2577,
      0.4381,
      0.5173,
      0.3251,
      0.264,
      0.2136,
      0.4415,
      0.3332,
      0.2557,
      0.3269,
      0.3944,
      0.4057,
      0.2981,
      0.3074,
      0.4332,
      0.4863,
      0.266,
      0.2094,
      0.2474,
      0.3773,
      0.3756,
      0.3537,
      0.3757,
      0.3615,
      0.3999,
      0.3383,
      0.4099,
      0.3671,
      0.5136,
      0.4612,
      0.447,
      0.6487,
      0.6332,
      0.4155,
      0.6348,
      0.3954,
      0.5863,
      0.4369,
      0.4803,
      0.5942,
      0.1891,
      0.5331,
      0.4086,
      0.4692,
      0.3285,
      0.3816,
      0.4368,
      0.4431,
      0.4203,
      0.415,
      0.2787,
      0.383,
      0.3341,
      0.1952,
      0.17,
      0.4069,
      0.3416,
      0.2579,
      0.2917,
      0.3597,
      0.3697,
      0.3113,
      0.2677,
      0.4681,
      0.3766,
      0.2356,
      0.4201,
      0.1181,
      0.3045,
      0.2828,
      0.1972,
      0.3406,
      0.4927,
      0.3684,
      0.3679,
      0.2918,
      0.2935,
      0.3769,
      0.3513,
      0.4557,
      0.1119,
      0.5602,
      0.3878,
      0.6088,
      0.2603,
      0.5771,
      0.3335,
      0.4741,
      0.4158,
      0.1919,
      0.1475,
      0.2334,
      0.246,
      0.3526,
      0.2587,
      0.4584,
      0.3567,
      0.4155,
      0.2775,
      0.3399,
      0.4693,
      0.2917,
      0.1488,
      0.1935,
      0.2763,
      0.3517,
      0.2378,
      0.2678,
      0.4524,
      0.4569,
      0.3708,
      0.2465,
      0.5241,
      0.3143,
      0.2055,
      0.1552,
      0.2828,
      0.3148,
      0.4168,
      0.3566,
      0.4165,
      0.3712,
      0.372,
      0.3486,
      0.4766,
      0.3424,
      0.4537,
      0.4309,
      0.4804,
      0.5615,
      0.6436,
      0.3489,
      0.6546,
      0.3626,
      0.5721,
      0.4717,
      0.451,
      0.5662,
      0.2755,
      0.494,
      0.4295,
      0.5088,
      0.3498,
      0.4302,
      0.4105,
      0.4439,
      0.4366,
      0.3956,
      0.3484,
      0.3353,
      0.1904,
      0.0643,
      0.4234,
      0.2831,
      0.1261,
      0.1773,
      0.1133,
      0.1261,
      0.2746,
      0.3318,
      0.3856,
      0.4064,
      0.2629,
      0.1783,
      0.4137,
      0.3392,
      0.261,
      0.337,
      0.151,
      0.385,
      0.2779,
      0.3045,
      0.338,
      0.2948,
      0.3094,
      0.3177,
      0.2981,
      0.4906,
      0.1619,
      0.6085,
      0.3436,
      0.6105,
      0.3423,
      0.6152,
      0.4254,
      0.4282,
      0.5684,
      0.3032,
      0.5136,
      0.425,
      0.4242,
      0.2583,
      0.4095,
      0.4579,
      0.4162,
      0.4685,
      0.3773,
      0.2423,
      0.4379,
      0.2977,
      0.4709,
      0.4112,
      0.3705,
      0.2198,
      0.4126,
      0.3568,
      0.4873,
      0.3765,
      0.5963,
      0.4428,
      0.4011,
      0.2489,
      0.4347,
      0.5136,
      0.3451,
      0.2554,
      0.1582,
      0.1627,
      0.1889,
      0.1529,
      0.2719,
      0.3566,
      0.2171,
      0.2377,
      0.2943,
      0.273,
      0.4171,
      0.3433,
      0.5743,
      0.2246,
      0.6232,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2884,
      0.2132,
      0.2133,
      0.0925,
      0.1541,
      0.149,
      0.1153,
      0.1905,
      0.2048,
      0.1742,
      0.1496,
      0.1695,
      0.1633,
      0.1578,
      0.1734,
      0.0921,
      0.4871,
      0.345,
      0.1379,
      0.2394,
      0.2902,
      0.4244,
      0.4126,
      0.2659,
      0.458,
      0.4609,
      0.3677,
      0.2716,
      0.3475,
      0.1239,
      0.2964,
      0.1988,
      0.1215,
      0.175,
      0.2656,
      0.1471,
      0.3868,
      0.4608,
      0.3713,
      0.2786,
      0.3429,
      0.2076,
      0.4571,
      0.0865,
      0.5808,
      0.232,
      0.5261,
      0.404,
      0.5313,
      0.3343,
      0.5756,
      0.3894,
      0.5159,
      0.2858,
      0.184,
      0.4009,
      0.1896,
      0.3635,
      0.2746,
      0.2633,
      0.4108,
      0.4753,
      0.4239,
      0.2966,
      0.4359,
      0.4561,
      0.3057,
      0.2807,
      0.2115,
      0.475,
      0.2796,
      0.2174,
      0.2249,
      0.4152,
      0.4493,
      0.2984,
      0.3975,
      0.3709,
      0.4829,
      0.305,
      0.2322,
      0.2356,
      0.4066,
      0.3297,
      0.3882,
      0.3692,
      0.2844,
      0.4131,
      0.3202,
      0.3842,
      0.4107,
      0.4774,
      0.5175,
      0.5839,
      0.6101,
      0.6419,
      0.4119,
      0.5378,
      0.3401,
      0.5173,
      0.4237,
      0.4563,
      0.6006,
      0.2057,
      0.5193,
      0.4071,
      0.4547,
      0.3715,
      0.3769,
      0.4034,
      0.4215,
      0.4396,
      0.4359,
      0.305,
      0.3765,
      0.3358,
      0.1973,
      0.1249,
      0.4135,
      0.3287,
      0.3534,
      0.1266,
      0.4605,
      0.3707,
      0.329,
      0.264,
      0.4653,
      0.3692,
      0.3581,
      0.4458,
      0.1778,
      0.2094,
      0.2668,
      0.1682,
      0.3386,
      0.443,
      0.3859,
      0.2753,
      0.2868,
      0.1328,
      0.4323,
      0.3318,
      0.5465,
      0.1806,
      0.488,
      0.421,
      0.619,
      0.1783,
      0.5258,
      0.3157,
      0.5011,
      0.441,
      0.1394,
      0.088,
      0.2045,
      0.3318,
      0.3895,
      0.2898,
      0.5089,
      0.3466,
      0.4435,
      0.3391,
      0.3634,
      0.4461,
      0.1956,
      0.149,
      0.2181,
      0.3159,
      0.2903,
      0.2232,
      0.2345,
      0.5124,
      0.5119,
      0.298,
      0.253,
      0.4511,
      0.1998,
      0.2351,
      0.1983,
      0.2536,
      0.3266,
      0.3015,
      0.3801,
      0.3427,
      0.2686,
      0.4664,
      0.3396,
      0.3919,
      0.4374,
      0.4374,
      0.4976,
      0.618,
      0.5441,
      0.5593,
      0.3987,
      0.5948,
      0.348,
      0.5546,
      0.404,
      0.4298,
      0.5803,
      0.2631,
      0.4225,
      0.3997,
      0.4841,
      0.4237,
      0.3749,
      0.4085,
      0.4853,
      0.4649,
      0.4025,
      0.3359,
      0.3961,
      0.111,
      0.1488,
      0.3415,
      0.2131,
      0.1661,
      0.2513,
      0.169,
      0.2046,
      0.2708,
      0.3138,
      0.4359,
      0.3154,
      0.3041,
      0.2499,
      0.5373,
      0.2404,
      0.2367,
      0.3623,
      0.1413,
      0.4201,
      0.3216,
      0.3919,
      0.2754,
      0.2725,
      0.2898,
      0.3361,
      0.2712,
      0.6002,
      0.2605,
      0.4586,
      0.3301,
      0.5738,
      0.3726,
      0.4892,
      0.4328,
      0.4065,
      0.5615,
      0.2912,
      0.5417,
      0.3183,
      0.4163,
      0.2874,
      0.4331,
      0.4094,
      0.4644,
      0.4768,
      0.4253,
      0.2639,
      0.3882,
      0.1759,
      0.5742,
      0.4958,
      0.4822,
      0.291,
      0.3728,
      0.3636,
      0.4767,
      0.3979,
      0.5057,
      0.3581,
      0.4068,
      0.2001,
      0.4609,
      0.5709,
      0.3805,
      0.2577,
      0.1087,
      0.1407,
      0.1283,
      0.1763,
      0.2363,
      0.3351,
      0.2765,
      0.2575,
      0.2229,
      0.2371,
      0.417,
      0.2754,
      0.5634,
      0.0991,
      0.543,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1874,
      0.1723,
      0.1996,
      0.1545,
      0.1699,
      0.1492,
      0.1532,
      0.1956,
      0.1826,
      0.1873,
      0.1359,
      0.1392,
      0.1009,
      0.132,
      0.2675,
      0.2035,
      0.4758,
      0.2871,
      0.2471,
      0.2155,
      0.3317,
      0.3307,
      0.3641,
      0.2967,
      0.3973,
      0.424,
      0.3629,
      0.3512,
      0.3919,
      0.25,
      0.2542,
      0.1477,
      0.1832,
      0.2308,
      0.2744,
      0.1044,
      0.3924,
      0.4282,
      0.3578,
      0.2267,
      0.3632,
      0.252,
      0.4236,
      0.2019,
      0.4714,
      0.1263,
      0.5258,
      0.4323,
      0.5576,
      0.3918,
      0.5858,
      0.4662,
      0.55,
      0.3257,
      0.2443,
      0.4675,
      0.2459,
      0.3722,
      0.33,
      0.2848,
      0.3434,
      0.4532,
      0.42,
      0.3528,
      0.3933,
      0.4838,
      0.3096,
      0.2336,
      0.229,
      0.5219,
      0.3352,
      0.2645,
      0.2652,
      0.3704,
      0.3996,
      0.3995,
      0.4368,
      0.35,
      0.4672,
      0.3085,
      0.2844,
      0.1795,
      0.3551,
      0.3889,
      0.3478,
      0.3595,
      0.2953,
      0.4943,
      0.3826,
      0.4077,
      0.3763,
      0.458,
      0.4387,
      0.5248,
      0.6597,
      0.6671,
      0.3998,
      0.6563,
      0.3453,
      0.5822,
      0.4828,
      0.4708,
      0.582,
      0.221,
      0.587,
      0.3297,
      0.4486,
      0.4238,
      0.3753,
      0.414,
      0.4598,
      0.4438,
      0.3976,
      0.3916,
      0.4593,
      0.2726,
      0.1638,
      0.188,
      0.5255,
      0.4071,
      0.2905,
      0.2129,
      0.4327,
      0.4014,
      0.3667,
      0.4095,
      0.4724,
      0.4316,
      0.3701,
      0.4744,
      0.1412,
      0.2282,
      0.2516,
      0.1618,
      0.3503,
      0.4062,
      0.3032,
      0.2906,
      0.3275,
      0.2682,
      0.4747,
      0.2921,
      0.4843,
      0.2178,
      0.5219,
      0.3982,
      0.5959,
      0.2194,
      0.5365,
      0.2874,
      0.4447,
      0.4633,
      0.0681,
      0.0918,
      0.2179,
      0.3485,
      0.3001,
      0.1666,
      0.4946,
      0.4083,
      0.485,
      0.3108,
      0.3876,
      0.4604,
      0.276,
      0.0936,
      0.1634,
      0.3268,
      0.2783,
      0.2318,
      0.1688,
      0.4801,
      0.4347,
      0.3501,
      0.326,
      0.4342,
      0.3048,
      0.1463,
      0.24,
      0.2383,
      0.3815,
      0.2959,
      0.332,
      0.3664,
      0.318,
      0.4892,
      0.374,
      0.3815,
      0.3895,
      0.4606,
      0.4493,
      0.6063,
      0.5615,
      0.6922,
      0.3569,
      0.6667,
      0.3291,
      0.5564,
      0.4757,
      0.4546,
      0.5561,
      0.2396,
      0.5359,
      0.3699,
      0.5227,
      0.4259,
      0.3974,
      0.362,
      0.4683,
      0.4711,
      0.4424,
      0.3518,
      0.4268,
      0.1655,
      0.2186,
      0.2405,
      0.2376,
      0.2139,
      0.3052,
      0.2693,
      0.2596,
      0.3206,
      0.2841,
      0.4226,
      0.2285,
      0.2248,
      0.2325,
      0.4849,
      0.3131,
      0.2428,
      0.3239,
      0.1267,
      0.3821,
      0.2566,
      0.3928,
      0.221,
      0.3594,
      0.2966,
      0.345,
      0.2321,
      0.5231,
      0.2693,
      0.5038,
      0.405,
      0.605,
      0.2977,
      0.5813,
      0.4413,
      0.4116,
      0.5659,
      0.3003,
      0.5764,
      0.3104,
      0.4347,
      0.3304,
      0.3839,
      0.3922,
      0.4818,
      0.4726,
      0.4403,
      0.3435,
      0.4433,
      0.1892,
      0.53,
      0.4464,
      0.3228,
      0.2706,
      0.3908,
      0.4106,
      0.4924,
      0.3783,
      0.5824,
      0.4519,
      0.4263,
      0.3203,
      0.3935,
      0.5655,
      0.3352,
      0.1295,
      0.1919,
      0.0332,
      0.1719,
      0.1256,
      0.2374,
      0.2095,
      0.3096,
      0.3003,
      0.3743,
      0.2363,
      0.4357,
      0.3145,
      0.5213,
      0.2485,
      0.6365,
      0.0174,
      0,
      0,
      0,
      0,
      0,
      0.2865,
      0.2401,
      0.25,
      0.265,
      0.1621,
      0.2027,
      0.1733,
      0.1622,
      0.2031,
      0.1174,
      0.1518,
      0.1961,
      0.1558,
      0.1052,
      0.2203,
      0.2293,
      0.5066,
      0.2293,
      0.2446,
      0.3267,
      0.2927,
      0.3487,
      0.33,
      0.3,
      0.413,
      0.4608,
      0.4734,
      0.3705,
      0.3949,
      0.18,
      0.2429,
      0.1212,
      0.2057,
      0.2839,
      0.2271,
      0.1466,
      0.405,
      0.444,
      0.3647,
      0.2591,
      0.2909,
      0.1859,
      0.4071,
      0.2732,
      0.4431,
      0.2168,
      0.4527,
      0.4141,
      0.4794,
      0.3653,
      0.5123,
      0.448,
      0.5474,
      0.3392,
      0.2458,
      0.337,
      0.1993,
      0.3317,
      0.3259,
      0.2695,
      0.4405,
      0.5073,
      0.474,
      0.3492,
      0.4474,
      0.4269,
      0.3685,
      0.2813,
      0.3069,
      0.5073,
      0.2489,
      0.2803,
      0.2671,
      0.3989,
      0.448,
      0.3803,
      0.4061,
      0.3207,
      0.4497,
      0.2945,
      0.2302,
      0.2004,
      0.3472,
      0.309,
      0.3018,
      0.3552,
      0.312,
      0.3515,
      0.3347,
      0.4567,
      0.4091,
      0.3661,
      0.4291,
      0.4339,
      0.665,
      0.5895,
      0.4429,
      0.5526,
      0.4103,
      0.5006,
      0.3993,
      0.385,
      0.5761,
      0.1772,
      0.5593,
      0.2451,
      0.4098,
      0.448,
      0.4182,
      0.4797,
      0.4456,
      0.4978,
      0.4166,
      0.4518,
      0.4369,
      0.2712,
      0.2554,
      0.292,
      0.5027,
      0.379,
      0.2538,
      0.1778,
      0.4488,
      0.4274,
      0.3014,
      0.3665,
      0.4243,
      0.3378,
      0.4418,
      0.4028,
      0.1931,
      0.3268,
      0.27,
      0.181,
      0.3557,
      0.573,
      0.4012,
      0.231,
      0.2733,
      0.2537,
      0.4228,
      0.2861,
      0.4168,
      0.2369,
      0.4979,
      0.396,
      0.5279,
      0.3402,
      0.5067,
      0.346,
      0.3937,
      0.481,
      0.1248,
      0.1637,
      0.225,
      0.2849,
      0.3584,
      0.2092,
      0.5441,
      0.3538,
      0.5199,
      0.2968,
      0.4155,
      0.4755,
      0.3554,
      0.2306,
      0.2435,
      0.3398,
      0.3448,
      0.202,
      0.2524,
      0.4187,
      0.5118,
      0.4063,
      0.394,
      0.4652,
      0.2259,
      0.2352,
      0.2789,
      0.2867,
      0.2175,
      0.3198,
      0.316,
      0.3881,
      0.2869,
      0.4266,
      0.3851,
      0.4506,
      0.3946,
      0.4343,
      0.4487,
      0.5067,
      0.5579,
      0.6052,
      0.4113,
      0.5725,
      0.3814,
      0.4964,
      0.4398,
      0.3633,
      0.5652,
      0.2978,
      0.4929,
      0.3351,
      0.451,
      0.4234,
      0.4095,
      0.3786,
      0.4468,
      0.5049,
      0.4613,
      0.4357,
      0.4285,
      0.2011,
      0.2958,
      0.2796,
      0.2419,
      0.2254,
      0.316,
      0.2917,
      0.2082,
      0.2975,
      0.2908,
      0.4311,
      0.2025,
      0.2438,
      0.2603,
      0.5099,
      0.1441,
      0.2561,
      0.3127,
      0.0892,
      0.3649,
      0.2372,
      0.4491,
      0.2913,
      0.2996,
      0.2756,
      0.2936,
      0.3313,
      0.3848,
      0.2931,
      0.4238,
      0.4269,
      0.5457,
      0.3366,
      0.5456,
      0.3903,
      0.3959,
      0.5645,
      0.3114,
      0.5556,
      0.3301,
      0.4248,
      0.3816,
      0.3979,
      0.4532,
      0.4233,
      0.5342,
      0.4413,
      0.3952,
      0.4236,
      0.2564,
      0.5087,
      0.4533,
      0.38,
      0.2182,
      0.3563,
      0.4029,
      0.4901,
      0.4499,
      0.5592,
      0.3753,
      0.3886,
      0.2206,
      0.5155,
      0.5761,
      0.3549,
      0.2295,
      0.1326,
      0.154,
      0.1547,
      0.1422,
      0.1909,
      0.1297,
      0.2762,
      0.3018,
      0.2877,
      0.2259,
      0.3504,
      0.2688,
      0.5029,
      0.1926,
      0.5421,
      0.0255,
      0,
      0,
      0,
      0,
      0,
      0.3364,
      0.1941,
      0.2336,
      0.2489,
      0.2064,
      0.1744,
      0.2301,
      0.0996,
      0.2394,
      0.2628,
      0.241,
      0.2597,
      0.2523,
      0.1838,
      0.1782,
      0.1289,
      0.4951,
      0.2903,
      0.1541,
      0.2591,
      0.3059,
      0.4328,
      0.3397,
      0.3202,
      0.4042,
      0.4494,
      0.4284,
      0.2401,
      0.4107,
      0.0838,
      0.3039,
      0.1929,
      0.2248,
      0.2863,
      0.3796,
      0.226,
      0.4125,
      0.5114,
      0.3392,
      0.2999,
      0.2948,
      0.3168,
      0.4162,
      0.2802,
      0.5042,
      0.259,
      0.5497,
      0.4584,
      0.5408,
      0.4905,
      0.5454,
      0.3928,
      0.5702,
      0.3249,
      0.2172,
      0.3282,
      0.2906,
      0.2888,
      0.3133,
      0.3882,
      0.4337,
      0.5592,
      0.5192,
      0.3509,
      0.454,
      0.4771,
      0.3401,
      0.168,
      0.1929,
      0.5149,
      0.279,
      0.2895,
      0.3345,
      0.3714,
      0.4297,
      0.3407,
      0.279,
      0.239,
      0.4607,
      0.3254,
      0.2803,
      0.2236,
      0.4408,
      0.4149,
      0.3811,
      0.4278,
      0.2788,
      0.3697,
      0.2652,
      0.4228,
      0.4014,
      0.4132,
      0.3609,
      0.4642,
      0.6567,
      0.6339,
      0.5087,
      0.5476,
      0.4118,
      0.5321,
      0.4666,
      0.4379,
      0.5467,
      0.2063,
      0.5111,
      0.2789,
      0.4468,
      0.4197,
      0.4481,
      0.4673,
      0.4847,
      0.5249,
      0.333,
      0.433,
      0.293,
      0.2812,
      0.1797,
      0.2325,
      0.5289,
      0.3346,
      0.2634,
      0.2966,
      0.4283,
      0.3831,
      0.3025,
      0.2891,
      0.4016,
      0.2445,
      0.3791,
      0.4279,
      0.1851,
      0.2275,
      0.3604,
      0.133,
      0.4601,
      0.4705,
      0.3975,
      0.2802,
      0.2773,
      0.2932,
      0.4086,
      0.3284,
      0.4871,
      0.2465,
      0.5063,
      0.4697,
      0.5478,
      0.338,
      0.4954,
      0.3437,
      0.4195,
      0.3869,
      0.1704,
      0.1551,
      0.2146,
      0.2776,
      0.3501,
      0.3328,
      0.4745,
      0.4581,
      0.4844,
      0.2751,
      0.412,
      0.4486,
      0.2044,
      0.3999,
      0.2203,
      0.2906,
      0.3369,
      0.2937,
      0.2968,
      0.4403,
      0.4952,
      0.3754,
      0.3566,
      0.5131,
      0.2791,
      0.2666,
      0.2618,
      0.2733,
      0.4431,
      0.439,
      0.3745,
      0.4805,
      0.2851,
      0.4773,
      0.2335,
      0.4821,
      0.385,
      0.4554,
      0.3957,
      0.5434,
      0.5635,
      0.6397,
      0.3848,
      0.5627,
      0.3823,
      0.4741,
      0.476,
      0.4276,
      0.5405,
      0.2685,
      0.5197,
      0.2426,
      0.5175,
      0.443,
      0.4323,
      0.4495,
      0.4877,
      0.5426,
      0.5138,
      0.4245,
      0.3747,
      0.1876,
      0.187,
      0.314,
      0.2146,
      0.1528,
      0.237,
      0.1457,
      0.1477,
      0.3043,
      0.3399,
      0.4505,
      0.2859,
      0.2455,
      0.2409,
      0.4847,
      0.3097,
      0.2772,
      0.4131,
      0.246,
      0.4332,
      0.3021,
      0.3988,
      0.325,
      0.2799,
      0.3028,
      0.285,
      0.3146,
      0.4953,
      0.3179,
      0.5322,
      0.4264,
      0.5802,
      0.3855,
      0.4989,
      0.4386,
      0.3472,
      0.5335,
      0.2822,
      0.5243,
      0.3111,
      0.3986,
      0.3845,
      0.421,
      0.4228,
      0.546,
      0.5108,
      0.4339,
      0.3791,
      0.41,
      0.2908,
      0.4976,
      0.4507,
      0.3541,
      0.2442,
      0.4079,
      0.4797,
      0.4901,
      0.4499,
      0.5619,
      0.4161,
      0.4411,
      0.1728,
      0.5251,
      0.5653,
      0.3794,
      0.1697,
      0.164,
      0.1538,
      0.1001,
      0.2061,
      0.1612,
      0.2586,
      0.1855,
      0.2091,
      0.2478,
      0.1651,
      0.3457,
      0.1576,
      0.5315,
      0.2658,
      0.5345,
      0.0189,
      0,
      0,
      0,
      0,
      0,
      0.2937,
      0.2647,
      0.2818,
      0.2988,
      0.2549,
      0.2677,
      0.2985,
      0.0972,
      0.1951,
      0.1691,
      0.1366,
      0.094,
      0.1263,
      0.0777,
      0.1046,
      0.1301,
      0.3637,
      0.4839,
      0.3886,
      0.4688,
      0.3359,
      0.3847,
      0.3622,
      0.2983,
      0.4046,
      0.4323,
      0.3744,
      0.3494,
      0.4406,
      0.1889,
      0.3581,
      0.2066,
      0.1834,
      0.3478,
      0.3045,
      0.2862,
      0.2914,
      0.4755,
      0.3265,
      0.2727,
      0.2157,
      0.2305,
      0.3757,
      0.2318,
      0.4721,
      0.2361,
      0.5042,
      0.404,
      0.5649,
      0.4102,
      0.621,
      0.4655,
      0.6237,
      0.3175,
      0.3021,
      0.2856,
      0.165,
      0.3035,
      0.3318,
      0.2685,
      0.45,
      0.5808,
      0.4301,
      0.4135,
      0.3683,
      0.4783,
      0.2615,
      0.2431,
      0.2509,
      0.5117,
      0.3638,
      0.3209,
      0.2945,
      0.3776,
      0.3883,
      0.2862,
      0.3545,
      0.3043,
      0.5107,
      0.3407,
      0.194,
      0.0782,
      0.3342,
      0.3366,
      0.4054,
      0.4246,
      0.2098,
      0.4754,
      0.3437,
      0.4659,
      0.3102,
      0.3489,
      0.4966,
      0.4871,
      0.6479,
      0.6006,
      0.4566,
      0.5841,
      0.3844,
      0.615,
      0.4325,
      0.4746,
      0.5823,
      0.2636,
      0.5536,
      0.3264,
      0.4112,
      0.3888,
      0.3272,
      0.3665,
      0.4185,
      0.4648,
      0.4192,
      0.3665,
      0.3179,
      0.2738,
      0.2148,
      0.2262,
      0.4835,
      0.2499,
      0.2774,
      0.2459,
      0.4065,
      0.4155,
      0.3637,
      0.341,
      0.3935,
      0.3436,
      0.3798,
      0.4763,
      0.1987,
      0.279,
      0.2855,
      0.1264,
      0.3659,
      0.4608,
      0.3649,
      0.3095,
      0.2962,
      0.2084,
      0.3929,
      0.2745,
      0.4999,
      0.3233,
      0.522,
      0.3585,
      0.5536,
      0.3645,
      0.6133,
      0.3149,
      0.4651,
      0.3402,
      0.2096,
      0.1892,
      0.2713,
      0.3226,
      0.3053,
      0.2642,
      0.5581,
      0.3921,
      0.435,
      0.3253,
      0.397,
      0.5397,
      0.2377,
      0.3675,
      0.4497,
      0.3014,
      0.2823,
      0.2755,
      0.2532,
      0.418,
      0.3119,
      0.2999,
      0.3495,
      0.4704,
      0.244,
      0.2616,
      0.3135,
      0.3415,
      0.3735,
      0.289,
      0.4173,
      0.3299,
      0.2492,
      0.4193,
      0.3152,
      0.4429,
      0.2683,
      0.3676,
      0.4826,
      0.5093,
      0.5529,
      0.5739,
      0.3344,
      0.6257,
      0.3133,
      0.5883,
      0.4452,
      0.424,
      0.5631,
      0.2795,
      0.49,
      0.3491,
      0.513,
      0.4054,
      0.3929,
      0.4377,
      0.4701,
      0.4444,
      0.4785,
      0.3178,
      0.3291,
      0.2413,
      0.229,
      0.2223,
      0.2511,
      0.2152,
      0.2958,
      0.2506,
      0.1901,
      0.2625,
      0.3924,
      0.4542,
      0.2395,
      0.2844,
      0.1642,
      0.5134,
      0.2324,
      0.3013,
      0.2477,
      0.3066,
      0.3173,
      0.3218,
      0.4024,
      0.2383,
      0.2885,
      0.2419,
      0.2568,
      0.3344,
      0.4693,
      0.305,
      0.5656,
      0.3543,
      0.5981,
      0.2248,
      0.5951,
      0.4355,
      0.4681,
      0.5517,
      0.2855,
      0.4515,
      0.3696,
      0.3868,
      0.3641,
      0.4043,
      0.3508,
      0.4216,
      0.4412,
      0.4094,
      0.295,
      0.3756,
      0.3096,
      0.5474,
      0.4742,
      0.4371,
      0.2974,
      0.4434,
      0.4448,
      0.4283,
      0.4185,
      0.5515,
      0.4176,
      0.4155,
      0.1359,
      0.5761,
      0.4903,
      0.3228,
      0.2275,
      0.1321,
      0.1621,
      0.1321,
      0.1277,
      0.1764,
      0.1877,
      0.1619,
      0.1383,
      0.2278,
      0.1838,
      0.3356,
      0.2227,
      0.5239,
      0.3249,
      0.5484,
      0.0432,
      0,
      0,
      0,
      0,
      0,
      0.221,
      0.1951,
      0.1432,
      0.1854,
      0.1484,
      0.1284,
      0.0522,
      0.1267,
      0.1242,
      0.045,
      0.1154,
      0.1279,
      0.0967,
      0.0733,
      0.1748,
      0.09,
      0.5012,
      0.3168,
      0.2332,
      0.2919,
      0.3656,
      0.382,
      0.3428,
      0.3373,
      0.4334,
      0.4672,
      0.4053,
      0.3927,
      0.4132,
      0.1507,
      0.4083,
      0.1797,
      0.2074,
      0.3116,
      0.2862,
      0.2514,
      0.3899,
      0.5251,
      0.3908,
      0.2339,
      0.2906,
      0.1565,
      0.4404,
      0.2183,
      0.5048,
      0.2198,
      0.5545,
      0.3399,
      0.6379,
      0.475,
      0.5453,
      0.4673,
      0.5407,
      0.2151,
      0.301,
      0.3485,
      0.2466,
      0.2744,
      0.3363,
      0.2442,
      0.4937,
      0.4817,
      0.4937,
      0.3781,
      0.3701,
      0.4487,
      0.2964,
      0.3356,
      0.2591,
      0.5069,
      0.3129,
      0.2636,
      0.3389,
      0.4706,
      0.4593,
      0.3643,
      0.394,
      0.1666,
      0.4199,
      0.2563,
      0.221,
      0.2513,
      0.3303,
      0.3097,
      0.3718,
      0.4098,
      0.2907,
      0.4564,
      0.3759,
      0.4585,
      0.3346,
      0.4295,
      0.4421,
      0.5245,
      0.6351,
      0.5168,
      0.4734,
      0.6636,
      0.3957,
      0.5384,
      0.4946,
      0.5046,
      0.5596,
      0.1744,
      0.5837,
      0.4284,
      0.4381,
      0.3869,
      0.4124,
      0.4279,
      0.3627,
      0.4656,
      0.3893,
      0.3631,
      0.3333,
      0.3175,
      0.1977,
      0.1868,
      0.4502,
      0.2878,
      0.2437,
      0.2464,
      0.5097,
      0.4391,
      0.3213,
      0.4162,
      0.3039,
      0.3524,
      0.3013,
      0.4334,
      0.1449,
      0.3133,
      0.2945,
      0.1809,
      0.3039,
      0.4621,
      0.3171,
      0.2389,
      0.3309,
      0.1526,
      0.4322,
      0.2248,
      0.4774,
      0.1952,
      0.6006,
      0.429,
      0.6537,
      0.3888,
      0.5614,
      0.2935,
      0.515,
      0.3871,
      0.2406,
      0.1458,
      0.3169,
      0.3412,
      0.3252,
      0.2596,
      0.5547,
      0.3307,
      0.4339,
      0.3759,
      0.3971,
      0.4997,
      0.2851,
      0.1906,
      0.3026,
      0.3088,
      0.3777,
      0.2378,
      0.267,
      0.4091,
      0.5085,
      0.387,
      0.3285,
      0.5093,
      0.2117,
      0.2068,
      0.1773,
      0.2909,
      0.3109,
      0.3637,
      0.3336,
      0.3736,
      0.2494,
      0.4208,
      0.3854,
      0.4084,
      0.3437,
      0.4545,
      0.4197,
      0.5008,
      0.5672,
      0.5612,
      0.3684,
      0.6883,
      0.3649,
      0.5011,
      0.4925,
      0.5028,
      0.5462,
      0.2576,
      0.5396,
      0.4126,
      0.4929,
      0.4261,
      0.4136,
      0.378,
      0.4265,
      0.4644,
      0.45,
      0.3468,
      0.3459,
      0.1908,
      0.143,
      0.2483,
      0.2209,
      0.0739,
      0.3434,
      0.2059,
      0.1673,
      0.286,
      0.2122,
      0.4096,
      0.1611,
      0.3025,
      0.1869,
      0.457,
      0.2695,
      0.2586,
      0.2941,
      0.133,
      0.3526,
      0.218,
      0.335,
      0.3016,
      0.2527,
      0.2777,
      0.3554,
      0.2615,
      0.498,
      0.3553,
      0.5656,
      0.4243,
      0.641,
      0.3543,
      0.5895,
      0.452,
      0.4413,
      0.5375,
      0.2647,
      0.5619,
      0.4146,
      0.4467,
      0.3611,
      0.4245,
      0.4342,
      0.4806,
      0.474,
      0.3991,
      0.2963,
      0.3843,
      0.3968,
      0.5295,
      0.4256,
      0.374,
      0.1718,
      0.394,
      0.3294,
      0.4241,
      0.4839,
      0.5828,
      0.4352,
      0.4254,
      0.1012,
      0.5619,
      0.5582,
      0.3825,
      0.249,
      0.1994,
      0.1025,
      0.2352,
      0.1429,
      0.3048,
      0.2809,
      0.2619,
      0.1865,
      0.2935,
      0.1877,
      0.4266,
      0.2189,
      0.5923,
      0.1661,
      0.5967,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2899,
      0.1985,
      0.1359,
      0.1716,
      0.1214,
      0.1056,
      0.0824,
      0.1107,
      0.1099,
      0.1787,
      0.165,
      0.1703,
      0.1381,
      0.0819,
      0.2305,
      0.1614,
      0.3973,
      0.2187,
      0.1514,
      0.2506,
      0.2977,
      0.3442,
      0.3071,
      0.2614,
      0.4432,
      0.3985,
      0.3455,
      0.2228,
      0.4094,
      0.2637,
      0.2077,
      0.1685,
      0.1994,
      0.2246,
      0.2861,
      0.3016,
      0.4339,
      0.4392,
      0.4299,
      0.2749,
      0.2315,
      0.2046,
      0.4471,
      0.2979,
      0.4342,
      0.1827,
      0.4902,
      0.4268,
      0.5839,
      0.42,
      0.6074,
      0.488,
      0.5046,
      0.327,
      0.2452,
      0.2622,
      0.2535,
      0.2912,
      0.3486,
      0.3157,
      0.4694,
      0.3998,
      0.4363,
      0.3092,
      0.359,
      0.455,
      0.3907,
      0.3019,
      0.2797,
      0.5638,
      0.3898,
      0.2586,
      0.2946,
      0.4121,
      0.3702,
      0.3295,
      0.2722,
      0.336,
      0.471,
      0.3481,
      0.1755,
      0.1682,
      0.2619,
      0.2327,
      0.3634,
      0.316,
      0.2712,
      0.4478,
      0.396,
      0.3793,
      0.3398,
      0.3935,
      0.4044,
      0.42,
      0.6539,
      0.6029,
      0.4417,
      0.6484,
      0.3644,
      0.5986,
      0.4462,
      0.443,
      0.5501,
      0.1565,
      0.5345,
      0.3318,
      0.3808,
      0.3712,
      0.4013,
      0.4899,
      0.4328,
      0.4349,
      0.411,
      0.3543,
      0.2917,
      0.3481,
      0.1636,
      0.2429,
      0.5402,
      0.283,
      0.2503,
      0.1568,
      0.524,
      0.2983,
      0.3556,
      0.2288,
      0.3271,
      0.3466,
      0.3597,
      0.4625,
      0.1221,
      0.3278,
      0.2935,
      0.2014,
      0.3908,
      0.4126,
      0.4498,
      0.2359,
      0.3031,
      0.1901,
      0.4198,
      0.3309,
      0.5028,
      0.1345,
      0.5351,
      0.3848,
      0.5793,
      0.3548,
      0.5693,
      0.381,
      0.4517,
      0.4104,
      0.0927,
      0.1303,
      0.3338,
      0.235,
      0.3541,
      0.2667,
      0.5458,
      0.379,
      0.4241,
      0.3351,
      0.3397,
      0.4914,
      0.2856,
      0.2569,
      0.1791,
      0.3698,
      0.3903,
      0.2823,
      0.2454,
      0.4234,
      0.4596,
      0.4176,
      0.2473,
      0.5298,
      0.2512,
      0.1421,
      0.203,
      0.2727,
      0.2892,
      0.2616,
      0.2906,
      0.3277,
      0.2428,
      0.48,
      0.4236,
      0.4196,
      0.2864,
      0.4598,
      0.4459,
      0.4738,
      0.5705,
      0.6216,
      0.4215,
      0.624,
      0.3509,
      0.5502,
      0.4625,
      0.4481,
      0.5256,
      0.1802,
      0.4832,
      0.3383,
      0.451,
      0.4065,
      0.3557,
      0.3242,
      0.3527,
      0.4591,
      0.4315,
      0.3196,
      0.3691,
      0.2318,
      0.1324,
      0.2262,
      0.3218,
      0.0636,
      0.3582,
      0.1786,
      0.2106,
      0.3063,
      0.3014,
      0.4156,
      0.2274,
      0.346,
      0.2024,
      0.4732,
      0.2934,
      0.1934,
      0.2807,
      0.1317,
      0.3083,
      0.2757,
      0.4273,
      0.1592,
      0.3077,
      0.2918,
      0.3708,
      0.3777,
      0.4525,
      0.2784,
      0.5242,
      0.3938,
      0.5776,
      0.2923,
      0.624,
      0.4476,
      0.4872,
      0.4944,
      0.2127,
      0.5046,
      0.2914,
      0.3895,
      0.3124,
      0.3336,
      0.466,
      0.4406,
      0.4191,
      0.382,
      0.2884,
      0.3619,
      0.264,
      0.4764,
      0.4097,
      0.3688,
      0.2169,
      0.3695,
      0.3158,
      0.4662,
      0.4257,
      0.5988,
      0.4391,
      0.4161,
      0.2326,
      0.5347,
      0.5359,
      0.3573,
      0.2381,
      0.2126,
      0.1194,
      0.1628,
      0.1185,
      0.2157,
      0.2042,
      0.2316,
      0.1792,
      0.2862,
      0.0892,
      0.3737,
      0.2408,
      0.5111,
      0.1858,
      0.5793,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2731,
      0.0799,
      0.1757,
      0.1173,
      0.1608,
      0.0383,
      0.041,
      0.2313,
      0.2016,
      0.112,
      0.0811,
      0.1293,
      0.0894,
      0.0792,
      0.1196,
      0.1298,
      0.399,
      0.2227,
      0.1304,
      0.28,
      0.1935,
      0.3557,
      0.3774,
      0.3281,
      0.4825,
      0.3811,
      0.3226,
      0.3419,
      0.3708,
      0.178,
      0.3143,
      0.1183,
      0.169,
      0.2391,
      0.2131,
      0.2031,
      0.3636,
      0.4689,
      0.3739,
      0.2871,
      0.2625,
      0.1674,
      0.4141,
      0.2432,
      0.4847,
      0.2013,
      0.5603,
      0.4067,
      0.5785,
      0.3571,
      0.5515,
      0.4962,
      0.5386,
      0.363,
      0.3026,
      0.2551,
      0.266,
      0.1853,
      0.2856,
      0.3165,
      0.4331,
      0.4379,
      0.4571,
      0.3223,
      0.3825,
      0.4255,
      0.3465,
      0.1829,
      0.2289,
      0.5086,
      0.3939,
      0.1643,
      0.2645,
      0.4457,
      0.4027,
      0.34,
      0.3901,
      0.2458,
      0.4815,
      0.3781,
      0.2083,
      0.1327,
      0.3364,
      0.3913,
      0.3918,
      0.375,
      0.2081,
      0.4795,
      0.332,
      0.3511,
      0.3501,
      0.4009,
      0.3801,
      0.5094,
      0.6499,
      0.642,
      0.4153,
      0.5962,
      0.4147,
      0.4613,
      0.4774,
      0.445,
      0.5335,
      0.1922,
      0.4658,
      0.2243,
      0.3961,
      0.3854,
      0.3859,
      0.381,
      0.4337,
      0.4084,
      0.4275,
      0.3335,
      0.2615,
      0.3026,
      0.1107,
      0.0737,
      0.504,
      0.204,
      0.2765,
      0.2205,
      0.5697,
      0.3946,
      0.3363,
      0.2763,
      0.4322,
      0.4363,
      0.4265,
      0.4448,
      0.0893,
      0.2071,
      0.3413,
      0.181,
      0.3358,
      0.5441,
      0.3454,
      0.3034,
      0.2868,
      0.1463,
      0.3853,
      0.3694,
      0.4422,
      0.1648,
      0.5803,
      0.4182,
      0.5285,
      0.2878,
      0.4305,
      0.3072,
      0.4945,
      0.3986,
      0.1133,
      0.1702,
      0.2842,
      0.2823,
      0.2894,
      0.2457,
      0.4666,
      0.3657,
      0.3928,
      0.3259,
      0.2854,
      0.3961,
      0.2056,
      0.2066,
      0.1855,
      0.3311,
      0.3059,
      0.2323,
      0.2708,
      0.4542,
      0.5067,
      0.3697,
      0.2985,
      0.5125,
      0.2322,
      0.1858,
      0.1672,
      0.2738,
      0.2818,
      0.3115,
      0.2647,
      0.3003,
      0.2581,
      0.4358,
      0.2681,
      0.3413,
      0.3221,
      0.4232,
      0.399,
      0.5467,
      0.5585,
      0.6323,
      0.4354,
      0.6001,
      0.3806,
      0.48,
      0.4409,
      0.4195,
      0.5212,
      0.1625,
      0.5033,
      0.2925,
      0.4385,
      0.3992,
      0.3547,
      0.4023,
      0.4162,
      0.4139,
      0.4203,
      0.2871,
      0.3403,
      0.1359,
      0.0425,
      0.2526,
      0.2903,
      0.0953,
      0.2266,
      0.1443,
      0.2523,
      0.3062,
      0.2263,
      0.3825,
      0.1798,
      0.3109,
      0.2086,
      0.5213,
      0.2129,
      0.2505,
      0.3636,
      0.1508,
      0.3933,
      0.3175,
      0.4146,
      0.2665,
      0.3334,
      0.2329,
      0.3267,
      0.2138,
      0.4544,
      0.307,
      0.6002,
      0.3795,
      0.5657,
      0.2753,
      0.5596,
      0.4389,
      0.4385,
      0.4859,
      0.2157,
      0.4771,
      0.275,
      0.403,
      0.2987,
      0.3375,
      0.4229,
      0.3949,
      0.4432,
      0.474,
      0.2625,
      0.3147,
      0.2728,
      0.4426,
      0.4168,
      0.4689,
      0.2123,
      0.3715,
      0.2744,
      0.4958,
      0.4342,
      0.5517,
      0.4224,
      0.4424,
      0.1862,
      0.5108,
      0.5068,
      0.3487,
      0.1907,
      0.1679,
      0.0617,
      0.2144,
      0.1467,
      0.2455,
      0.2948,
      0.1602,
      0.1892,
      0.24,
      0.1898,
      0.3617,
      0.2196,
      0.5276,
      0.1657,
      0.5329,
      0.0244,
      0,
      0,
      0,
      0,
      0,
      0.2133,
      0.1396,
      0.1875,
      0.1388,
      0.1763,
      0.1485,
      0.1591,
      0.2841,
      0.2911,
      0.215,
      0.1608,
      0.1893,
      0.1497,
      0.1184,
      0.2059,
      0.2205,
      0.4125,
      0.2169,
      0.0687,
      0.3745,
      0.2768,
      0.3263,
      0.4454,
      0.2863,
      0.538,
      0.4339,
      0.3458,
      0.326,
      0.4092,
      0.1611,
      0.2297,
      0.1541,
      0.1909,
      0.2377,
      0.2798,
      0.2347,
      0.4191,
      0.4339,
      0.413,
      0.3049,
      0.2439,
      0.2572,
      0.4675,
      0.283,
      0.5035,
      0.184,
      0.5846,
      0.4667,
      0.5507,
      0.4335,
      0.5626,
      0.4934,
      0.5319,
      0.339,
      0.2239,
      0.3805,
      0.2724,
      0.3101,
      0.2659,
      0.3194,
      0.4601,
      0.5004,
      0.4667,
      0.3934,
      0.4205,
      0.4507,
      0.3603,
      0.2132,
      0.2381,
      0.5308,
      0.3495,
      0.3123,
      0.3451,
      0.5261,
      0.4563,
      0.3224,
      0.3413,
      0.2331,
      0.4985,
      0.3263,
      0.2031,
      0.2348,
      0.3369,
      0.3325,
      0.3978,
      0.4759,
      0.2441,
      0.4815,
      0.2608,
      0.4314,
      0.255,
      0.4228,
      0.4015,
      0.5013,
      0.6273,
      0.5841,
      0.4606,
      0.6186,
      0.2812,
      0.5453,
      0.4664,
      0.4642,
      0.5519,
      0.1531,
      0.5831,
      0.1646,
      0.3528,
      0.4467,
      0.3693,
      0.4518,
      0.4873,
      0.5204,
      0.4975,
      0.4043,
      0.3143,
      0.3161,
      0.196,
      0.2157,
      0.4448,
      0.3488,
      0.2565,
      0.3325,
      0.5526,
      0.4357,
      0.3576,
      0.3118,
      0.3743,
      0.3839,
      0.4471,
      0.4126,
      0.124,
      0.2697,
      0.3839,
      0.1624,
      0.4455,
      0.5746,
      0.4072,
      0.2985,
      0.34,
      0.194,
      0.3802,
      0.2817,
      0.49,
      0.2293,
      0.5912,
      0.4575,
      0.5842,
      0.3694,
      0.4883,
      0.3375,
      0.4443,
      0.3894,
      0.1578,
      0.1249,
      0.2537,
      0.2855,
      0.3377,
      0.3017,
      0.5223,
      0.4014,
      0.4661,
      0.3491,
      0.374,
      0.4968,
      0.1862,
      0.2757,
      0.1696,
      0.3354,
      0.3215,
      0.2971,
      0.2855,
      0.507,
      0.5418,
      0.4283,
      0.3117,
      0.518,
      0.2134,
      0.1727,
      0.1521,
      0.2497,
      0.2946,
      0.3628,
      0.3916,
      0.4225,
      0.2598,
      0.5303,
      0.2779,
      0.4759,
      0.2951,
      0.4194,
      0.3977,
      0.5452,
      0.5013,
      0.5587,
      0.4432,
      0.6022,
      0.2739,
      0.5359,
      0.4647,
      0.4505,
      0.5262,
      0.2738,
      0.5105,
      0.3247,
      0.4436,
      0.4131,
      0.4352,
      0.4515,
      0.4658,
      0.5037,
      0.5239,
      0.3528,
      0.3295,
      0.1363,
      0.1061,
      0.1522,
      0.2437,
      0.1033,
      0.2988,
      0.1386,
      0.2969,
      0.3087,
      0.3221,
      0.3727,
      0.2647,
      0.3639,
      0.1904,
      0.5575,
      0.2142,
      0.1262,
      0.3898,
      0.1861,
      0.3947,
      0.3123,
      0.4064,
      0.2507,
      0.3196,
      0.1675,
      0.3504,
      0.2852,
      0.5312,
      0.3213,
      0.5732,
      0.4646,
      0.6041,
      0.2821,
      0.5428,
      0.3879,
      0.4364,
      0.5106,
      0.2852,
      0.5166,
      0.2712,
      0.4477,
      0.354,
      0.4633,
      0.4734,
      0.4264,
      0.4869,
      0.4144,
      0.2871,
      0.4192,
      0.3287,
      0.4694,
      0.3597,
      0.3333,
      0.245,
      0.4203,
      0.4379,
      0.5637,
      0.4742,
      0.5051,
      0.4161,
      0.4386,
      0.2399,
      0.5234,
      0.5483,
      0.3661,
      0.2041,
      0.1546,
      0.0711,
      0.1893,
      0.2031,
      0.239,
      0.2535,
      0.2056,
      0.1894,
      0.2785,
      0.1368,
      0.3898,
      0.192,
      0.557,
      0.1528,
      0.5673,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2252,
      0.1456,
      0.2132,
      0.1201,
      0.0654,
      0.0842,
      0.0549,
      0.1119,
      0.1724,
      0.1937,
      0.1859,
      0.1701,
      0.2216,
      0.1618,
      0.2963,
      0.1749,
      0.4646,
      0.1929,
      0.115,
      0.2725,
      0.2991,
      0.4234,
      0.4274,
      0.2862,
      0.5555,
      0.4531,
      0.4458,
      0.3937,
      0.3796,
      0.2716,
      0.2475,
      0.1743,
      0.1398,
      0.2329,
      0.2872,
      0.3921,
      0.3987,
      0.3762,
      0.3867,
      0.3605,
      0.2406,
      0.2798,
      0.4843,
      0.3497,
      0.5785,
      0.2904,
      0.5865,
      0.4546,
      0.5891,
      0.3725,
      0.5979,
      0.5048,
      0.5395,
      0.3205,
      0.308,
      0.3136,
      0.3069,
      0.3024,
      0.3491,
      0.2891,
      0.4563,
      0.4982,
      0.5243,
      0.3702,
      0.3811,
      0.3572,
      0.4183,
      0.2487,
      0.2875,
      0.4553,
      0.4139,
      0.3333,
      0.3205,
      0.5336,
      0.4899,
      0.3762,
      0.3963,
      0.2861,
      0.4914,
      0.3685,
      0.2345,
      0.2288,
      0.3162,
      0.3804,
      0.3969,
      0.404,
      0.2406,
      0.5369,
      0.294,
      0.4977,
      0.3424,
      0.43,
      0.4537,
      0.5428,
      0.6333,
      0.62,
      0.4234,
      0.6279,
      0.4005,
      0.5513,
      0.495,
      0.4658,
      0.5533,
      0.2491,
      0.5215,
      0.2495,
      0.4127,
      0.3969,
      0.4497,
      0.3993,
      0.4375,
      0.5174,
      0.4095,
      0.4091,
      0.3376,
      0.3339,
      0.1631,
      0.1556,
      0.4317,
      0.3373,
      0.2954,
      0.2699,
      0.5704,
      0.4596,
      0.417,
      0.3547,
      0.4101,
      0.4611,
      0.4339,
      0.5238,
      0.1772,
      0.2986,
      0.2994,
      0.1537,
      0.3611,
      0.4424,
      0.4198,
      0.3079,
      0.2354,
      0.2529,
      0.4097,
      0.3524,
      0.4786,
      0.3047,
      0.5766,
      0.3673,
      0.5735,
      0.2761,
      0.5802,
      0.3881,
      0.4644,
      0.3957,
      0.2407,
      0.1497,
      0.3075,
      0.2701,
      0.3598,
      0.2535,
      0.5421,
      0.4641,
      0.4718,
      0.3557,
      0.3377,
      0.4994,
      0.3872,
      0.275,
      0.2111,
      0.3741,
      0.3552,
      0.3574,
      0.2996,
      0.4737,
      0.4987,
      0.5099,
      0.4032,
      0.502,
      0.2807,
      0.237,
      0.2089,
      0.2517,
      0.3294,
      0.3443,
      0.3792,
      0.3657,
      0.2487,
      0.4546,
      0.302,
      0.4792,
      0.2559,
      0.4727,
      0.4454,
      0.5688,
      0.5071,
      0.586,
      0.4379,
      0.6179,
      0.3614,
      0.5407,
      0.4998,
      0.4282,
      0.5341,
      0.3177,
      0.4412,
      0.3268,
      0.4398,
      0.4134,
      0.4236,
      0.4385,
      0.4188,
      0.517,
      0.4446,
      0.3867,
      0.3631,
      0.1599,
      0.1334,
      0.2276,
      0.2082,
      0.1957,
      0.2957,
      0.1827,
      0.2076,
      0.2711,
      0.3076,
      0.3916,
      0.284,
      0.4047,
      0.2771,
      0.4494,
      0.32,
      0.2442,
      0.4066,
      0.1784,
      0.3984,
      0.2881,
      0.4077,
      0.2869,
      0.3493,
      0.2857,
      0.3518,
      0.3715,
      0.5341,
      0.3007,
      0.6014,
      0.4315,
      0.5663,
      0.3412,
      0.5642,
      0.4595,
      0.4159,
      0.499,
      0.3231,
      0.5429,
      0.3201,
      0.4255,
      0.283,
      0.4031,
      0.4551,
      0.4648,
      0.4907,
      0.4175,
      0.3036,
      0.3951,
      0.3048,
      0.5059,
      0.4214,
      0.3248,
      0.2881,
      0.4075,
      0.4261,
      0.5327,
      0.4472,
      0.5114,
      0.4622,
      0.4473,
      0.3089,
      0.4446,
      0.4972,
      0.3349,
      0.2491,
      0.2214,
      0.1317,
      0.1609,
      0.2176,
      0.2117,
      0.1667,
      0.1917,
      0.149,
      0.2273,
      0.1697,
      0.4113,
      0.2589,
      0.5892,
      0.1104,
      0.4671,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2183,
      0.2519,
      0.2328,
      0.2119,
      0.2731,
      0.2048,
      0.2229,
      0.1386,
      0.1039,
      0.1564,
      0.1514,
      0.1111,
      0.1715,
      0.1833,
      0.1672,
      0.1522,
      0.4144,
      0.3228,
      0.3244,
      0.3229,
      0.3361,
      0.3906,
      0.4196,
      0.3801,
      0.5812,
      0.4921,
      0.433,
      0.382,
      0.4205,
      0.0836,
      0.3401,
      0.1667,
      0.1724,
      0.3011,
      0.3766,
      0.2714,
      0.4792,
      0.3774,
      0.4433,
      0.3291,
      0.2467,
      0.2287,
      0.3981,
      0.2424,
      0.5133,
      0.2136,
      0.5207,
      0.451,
      0.5819,
      0.4186,
      0.5684,
      0.5245,
      0.6151,
      0.4109,
      0.3702,
      0.3972,
      0.2476,
      0.2788,
      0.3333,
      0.331,
      0.4632,
      0.5165,
      0.4981,
      0.3714,
      0.3435,
      0.3204,
      0.3346,
      0.2496,
      0.2658,
      0.5497,
      0.3316,
      0.3244,
      0.3166,
      0.5053,
      0.4759,
      0.3837,
      0.3712,
      0.3146,
      0.4889,
      0.3161,
      0.185,
      0.2011,
      0.3734,
      0.3951,
      0.3839,
      0.4566,
      0.1926,
      0.4389,
      0.3229,
      0.409,
      0.3165,
      0.2965,
      0.466,
      0.4833,
      0.6698,
      0.625,
      0.4595,
      0.6072,
      0.4094,
      0.5555,
      0.4743,
      0.4744,
      0.5117,
      0.2856,
      0.5656,
      0.3426,
      0.4203,
      0.389,
      0.4602,
      0.4739,
      0.4873,
      0.4918,
      0.4478,
      0.3554,
      0.3497,
      0.3561,
      0.2366,
      0.1704,
      0.4094,
      0.3555,
      0.2972,
      0.2868,
      0.5552,
      0.4729,
      0.3832,
      0.3449,
      0.4464,
      0.4527,
      0.4353,
      0.5006,
      0.15,
      0.3325,
      0.4157,
      0.1899,
      0.4347,
      0.4243,
      0.4888,
      0.3705,
      0.2265,
      0.2855,
      0.4064,
      0.2979,
      0.4762,
      0.2261,
      0.552,
      0.453,
      0.6131,
      0.3116,
      0.5344,
      0.3676,
      0.496,
      0.4344,
      0.3263,
      0.2571,
      0.3064,
      0.3355,
      0.365,
      0.2059,
      0.566,
      0.5039,
      0.4626,
      0.3651,
      0.4174,
      0.5403,
      0.2732,
      0.2513,
      0.2928,
      0.3746,
      0.367,
      0.3579,
      0.3208,
      0.5074,
      0.5416,
      0.4805,
      0.4177,
      0.4988,
      0.2189,
      0.1044,
      0.2155,
      0.2644,
      0.3461,
      0.3627,
      0.3655,
      0.4228,
      0.1686,
      0.4111,
      0.304,
      0.4231,
      0.2515,
      0.4291,
      0.4471,
      0.5223,
      0.5434,
      0.6247,
      0.3693,
      0.6794,
      0.3896,
      0.539,
      0.4639,
      0.4891,
      0.5067,
      0.3529,
      0.53,
      0.2997,
      0.4128,
      0.4096,
      0.4495,
      0.3814,
      0.4767,
      0.4353,
      0.517,
      0.3602,
      0.3641,
      0.2612,
      0.1993,
      0.2846,
      0.2163,
      0.1645,
      0.2514,
      0.2006,
      0.1763,
      0.2896,
      0.2464,
      0.3425,
      0.2082,
      0.3587,
      0.2877,
      0.4919,
      0.2787,
      0.3069,
      0.3936,
      0.2328,
      0.4611,
      0.2716,
      0.4938,
      0.3901,
      0.3484,
      0.2515,
      0.2628,
      0.2651,
      0.5142,
      0.3164,
      0.5296,
      0.3916,
      0.6091,
      0.3501,
      0.5406,
      0.4501,
      0.497,
      0.5145,
      0.3427,
      0.5993,
      0.3558,
      0.4092,
      0.3745,
      0.4311,
      0.3655,
      0.5209,
      0.5032,
      0.5189,
      0.2729,
      0.3969,
      0.3823,
      0.4793,
      0.4185,
      0.3934,
      0.2556,
      0.4682,
      0.424,
      0.5652,
      0.457,
      0.5991,
      0.4373,
      0.3663,
      0.1874,
      0.4007,
      0.5252,
      0.2865,
      0.3161,
      0.2744,
      0.3104,
      0.2648,
      0.3193,
      0.3138,
      0.3793,
      0.1576,
      0.2008,
      0.2584,
      0.1843,
      0.424,
      0.253,
      0.623,
      0.158,
      0.6126,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2142,
      0.2776,
      0.3221,
      0.311,
      0.282,
      0.2783,
      0.3088,
      0.136,
      0.1575,
      0.1336,
      0.0519,
      0.0867,
      0.0851,
      0.1283,
      0.1443,
      0.0826,
      0.4049,
      0.409,
      0.435,
      0.4849,
      0.3462,
      0.4085,
      0.4274,
      0.3758,
      0.5925,
      0.518,
      0.4028,
      0.3859,
      0.3634,
      0.1904,
      0.2846,
      0.2356,
      0.2398,
      0.4205,
      0.306,
      0.2512,
      0.4511,
      0.3152,
      0.4309,
      0.2396,
      0.2178,
      0.2899,
      0.3853,
      0.2227,
      0.5176,
      0.2611,
      0.5842,
      0.4249,
      0.5698,
      0.4318,
      0.5265,
      0.4928,
      0.5614,
      0.3812,
      0.296,
      0.4413,
      0.1956,
      0.2496,
      0.3304,
      0.3259,
      0.4242,
      0.4561,
      0.5242,
      0.3682,
      0.4616,
      0.2874,
      0.3565,
      0.283,
      0.3367,
      0.5182,
      0.3158,
      0.3523,
      0.3317,
      0.5699,
      0.4978,
      0.4099,
      0.4002,
      0.2363,
      0.4558,
      0.3253,
      0.1759,
      0.2032,
      0.383,
      0.3818,
      0.3397,
      0.3993,
      0.2287,
      0.4491,
      0.3027,
      0.4216,
      0.3121,
      0.4045,
      0.4334,
      0.4616,
      0.7059,
      0.5929,
      0.4855,
      0.5706,
      0.3992,
      0.4807,
      0.4403,
      0.393,
      0.5383,
      0.257,
      0.6103,
      0.3679,
      0.4549,
      0.3499,
      0.4482,
      0.4088,
      0.4739,
      0.5229,
      0.4542,
      0.4452,
      0.3743,
      0.3101,
      0.2545,
      0.2273,
      0.4543,
      0.4,
      0.3096,
      0.3215,
      0.5727,
      0.4638,
      0.4097,
      0.3708,
      0.4235,
      0.3347,
      0.3844,
      0.5218,
      0.2341,
      0.3027,
      0.3634,
      0.1695,
      0.3622,
      0.4973,
      0.4217,
      0.2711,
      0.3109,
      0.3227,
      0.2719,
      0.3232,
      0.3992,
      0.2964,
      0.6161,
      0.4492,
      0.4999,
      0.2755,
      0.4823,
      0.3546,
      0.4693,
      0.4186,
      0.2872,
      0.2526,
      0.2363,
      0.2505,
      0.3465,
      0.2135,
      0.6245,
      0.4784,
      0.5002,
      0.3362,
      0.4605,
      0.5355,
      0.218,
      0.3561,
      0.3894,
      0.3994,
      0.3687,
      0.3408,
      0.3338,
      0.583,
      0.5687,
      0.4833,
      0.3905,
      0.4805,
      0.272,
      0.1592,
      0.3061,
      0.2718,
      0.342,
      0.3602,
      0.4212,
      0.3389,
      0.2511,
      0.4049,
      0.3118,
      0.4602,
      0.2838,
      0.3823,
      0.4514,
      0.4826,
      0.609,
      0.6158,
      0.429,
      0.6013,
      0.3818,
      0.5153,
      0.4578,
      0.4036,
      0.5088,
      0.3253,
      0.6057,
      0.3517,
      0.4575,
      0.4254,
      0.4135,
      0.4308,
      0.4422,
      0.526,
      0.4694,
      0.422,
      0.3703,
      0.2708,
      0.2893,
      0.283,
      0.2551,
      0.2257,
      0.3274,
      0.2517,
      0.2343,
      0.2749,
      0.1981,
      0.3672,
      0.1804,
      0.2121,
      0.2461,
      0.4998,
      0.2903,
      0.2046,
      0.4497,
      0.3188,
      0.4257,
      0.3469,
      0.4493,
      0.3175,
      0.3586,
      0.26,
      0.319,
      0.3514,
      0.5325,
      0.3396,
      0.5509,
      0.4173,
      0.535,
      0.3059,
      0.5163,
      0.4687,
      0.4507,
      0.513,
      0.3113,
      0.6003,
      0.3021,
      0.4002,
      0.3094,
      0.4295,
      0.4554,
      0.4208,
      0.5634,
      0.4783,
      0.407,
      0.4407,
      0.3331,
      0.4536,
      0.3631,
      0.5049,
      0.3262,
      0.481,
      0.4706,
      0.5736,
      0.5037,
      0.5051,
      0.3828,
      0.4747,
      0.1557,
      0.4738,
      0.4463,
      0.2533,
      0.21,
      0.1319,
      0.2111,
      0.2229,
      0.2083,
      0.2041,
      0.2972,
      0.1971,
      0.1173,
      0.2006,
      0.1578,
      0.3406,
      0.1972,
      0.5726,
      0.2463,
      0.5768,
      0.0206,
      0,
      0,
      0,
      0,
      0,
      0.2705,
      0.1106,
      0.1329,
      0.1484,
      0.1187,
      0.1079,
      0.1328,
      0.0647,
      0.148,
      0.1783,
      0.1671,
      0.0798,
      0.1369,
      0.0725,
      0.0636,
      0.1587,
      0.3691,
      0.2611,
      0.2192,
      0.3015,
      0.1927,
      0.4435,
      0.3504,
      0.374,
      0.5152,
      0.4088,
      0.4328,
      0.3047,
      0.3379,
      0.1471,
      0.3167,
      0.2,
      0.1613,
      0.2663,
      0.303,
      0.252,
      0.4843,
      0.3992,
      0.4443,
      0.3795,
      0.2165,
      0.2873,
      0.4152,
      0.2766,
      0.4837,
      0.2608,
      0.5782,
      0.4336,
      0.5296,
      0.433,
      0.5661,
      0.4773,
      0.5387,
      0.3944,
      0.2064,
      0.3821,
      0.2806,
      0.2351,
      0.3127,
      0.3312,
      0.4451,
      0.4818,
      0.5322,
      0.3329,
      0.4854,
      0.303,
      0.3656,
      0.2512,
      0.2904,
      0.4691,
      0.3763,
      0.2756,
      0.3514,
      0.4994,
      0.4338,
      0.3249,
      0.3262,
      0.1675,
      0.4648,
      0.2625,
      0.1979,
      0.2374,
      0.4298,
      0.3959,
      0.3769,
      0.5015,
      0.266,
      0.4883,
      0.3035,
      0.3481,
      0.2889,
      0.4324,
      0.4687,
      0.4821,
      0.6946,
      0.6113,
      0.3596,
      0.5728,
      0.3687,
      0.5324,
      0.4315,
      0.3492,
      0.4957,
      0.2551,
      0.5931,
      0.3462,
      0.3844,
      0.4048,
      0.4243,
      0.3928,
      0.4578,
      0.5349,
      0.4579,
      0.4445,
      0.3704,
      0.2997,
      0.1396,
      0.216,
      0.4512,
      0.2147,
      0.2166,
      0.288,
      0.4844,
      0.3933,
      0.3712,
      0.3864,
      0.4336,
      0.3828,
      0.366,
      0.4265,
      0.1851,
      0.3301,
      0.3885,
      0.1433,
      0.4258,
      0.4436,
      0.4687,
      0.3672,
      0.2257,
      0.2684,
      0.3775,
      0.3013,
      0.5188,
      0.2135,
      0.566,
      0.3849,
      0.5636,
      0.2997,
      0.5199,
      0.3605,
      0.4701,
      0.3758,
      0.2025,
      0.1169,
      0.3326,
      0.3648,
      0.3258,
      0.2358,
      0.5173,
      0.4989,
      0.366,
      0.3321,
      0.4376,
      0.5276,
      0.2189,
      0.3417,
      0.3493,
      0.3737,
      0.3326,
      0.3403,
      0.2127,
      0.4711,
      0.4844,
      0.4394,
      0.3401,
      0.5088,
      0.243,
      0.2262,
      0.2617,
      0.3115,
      0.3302,
      0.366,
      0.4082,
      0.4336,
      0.2929,
      0.4851,
      0.3436,
      0.4147,
      0.3075,
      0.4147,
      0.4462,
      0.513,
      0.6166,
      0.5489,
      0.3796,
      0.5781,
      0.3842,
      0.5173,
      0.4445,
      0.3004,
      0.4745,
      0.2352,
      0.5717,
      0.3537,
      0.4305,
      0.429,
      0.4443,
      0.371,
      0.4756,
      0.5239,
      0.4815,
      0.4207,
      0.2911,
      0.1689,
      0.1417,
      0.193,
      0.1453,
      0.1389,
      0.3175,
      0.2158,
      0.191,
      0.2803,
      0.2208,
      0.362,
      0.1379,
      0.309,
      0.287,
      0.5051,
      0.2648,
      0.2732,
      0.4136,
      0.0761,
      0.4897,
      0.3496,
      0.4582,
      0.3117,
      0.3154,
      0.3086,
      0.2892,
      0.2987,
      0.5254,
      0.3161,
      0.5561,
      0.3906,
      0.5442,
      0.3703,
      0.5041,
      0.4214,
      0.4312,
      0.4521,
      0.2791,
      0.5509,
      0.2895,
      0.4057,
      0.3916,
      0.3976,
      0.4596,
      0.4748,
      0.5628,
      0.5078,
      0.3895,
      0.4022,
      0.2784,
      0.4715,
      0.4454,
      0.408,
      0.2606,
      0.393,
      0.2915,
      0.4781,
      0.4479,
      0.5777,
      0.3455,
      0.3539,
      0.2185,
      0.4106,
      0.455,
      0.1435,
      0.2654,
      0.197,
      0.2131,
      0.2294,
      0.2126,
      0.2613,
      0.3085,
      0.1876,
      0.1579,
      0.2176,
      0.1399,
      0.2698,
      0.2126,
      0.5746,
      0.1439,
      0.5663,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2434,
      0.2065,
      0.0911,
      0.143,
      0.1018,
      0.0865,
      0.0574,
      0.1195,
      0.1964,
      0.1032,
      0.1202,
      0.0874,
      0.0837,
      0.0854,
      0.1022,
      0.1385,
      0.4929,
      0.2104,
      0.1865,
      0.2558,
      0.3104,
      0.3345,
      0.305,
      0.3259,
      0.4707,
      0.4334,
      0.4077,
      0.3406,
      0.355,
      0.1296,
      0.1583,
      0.0937,
      0.1489,
      0.2813,
      0.2172,
      0.1591,
      0.3988,
      0.3673,
      0.4129,
      0.3803,
      0.284,
      0.239,
      0.3803,
      0.2108,
      0.4494,
      0.132,
      0.5053,
      0.3399,
      0.479,
      0.4285,
      0.5692,
      0.5106,
      0.5027,
      0.3739,
      0.2643,
      0.3758,
      0.2454,
      0.2441,
      0.2893,
      0.2944,
      0.3814,
      0.512,
      0.4776,
      0.3244,
      0.4365,
      0.4265,
      0.3114,
      0.2601,
      0.2683,
      0.5426,
      0.3426,
      0.3003,
      0.2217,
      0.4205,
      0.4445,
      0.3794,
      0.3088,
      0.2313,
      0.506,
      0.3762,
      0.1846,
      0.221,
      0.3418,
      0.4021,
      0.4216,
      0.4464,
      0.2731,
      0.5322,
      0.4295,
      0.3582,
      0.3037,
      0.4218,
      0.4007,
      0.4966,
      0.7053,
      0.7019,
      0.4608,
      0.5802,
      0.348,
      0.5658,
      0.4359,
      0.4461,
      0.5554,
      0.1881,
      0.6446,
      0.4158,
      0.4645,
      0.3881,
      0.4783,
      0.4105,
      0.4427,
      0.4737,
      0.5014,
      0.4138,
      0.3272,
      0.3314,
      0.2115,
      0.1872,
      0.4192,
      0.3679,
      0.2443,
      0.1991,
      0.5948,
      0.4185,
      0.3782,
      0.3002,
      0.408,
      0.4844,
      0.329,
      0.4673,
      0.1324,
      0.3535,
      0.3598,
      0.1802,
      0.3816,
      0.5129,
      0.3971,
      0.3719,
      0.2897,
      0.2606,
      0.4226,
      0.4459,
      0.5095,
      0.3111,
      0.5209,
      0.3842,
      0.5454,
      0.196,
      0.5556,
      0.396,
      0.5148,
      0.399,
      0.1609,
      0.1416,
      0.3266,
      0.2843,
      0.3155,
      0.1987,
      0.4848,
      0.423,
      0.4464,
      0.3585,
      0.3845,
      0.4721,
      0.2928,
      0.185,
      0.247,
      0.3279,
      0.3441,
      0.3541,
      0.2451,
      0.389,
      0.5266,
      0.4382,
      0.3461,
      0.449,
      0.2291,
      0.1306,
      0.2323,
      0.273,
      0.2333,
      0.3593,
      0.3615,
      0.4092,
      0.2634,
      0.6188,
      0.4473,
      0.4312,
      0.2301,
      0.4208,
      0.4247,
      0.5103,
      0.5987,
      0.6955,
      0.4577,
      0.5876,
      0.3205,
      0.5323,
      0.4661,
      0.4493,
      0.5129,
      0.2532,
      0.6304,
      0.3411,
      0.3732,
      0.4052,
      0.4502,
      0.4441,
      0.4068,
      0.4817,
      0.4887,
      0.3567,
      0.3846,
      0.1199,
      0.1034,
      0.2998,
      0.1769,
      0.1741,
      0.3277,
      0.1295,
      0.1676,
      0.2716,
      0.237,
      0.2837,
      0.1757,
      0.2943,
      0.328,
      0.5351,
      0.3052,
      0.221,
      0.3751,
      0.1425,
      0.4194,
      0.3179,
      0.4154,
      0.3187,
      0.3354,
      0.1986,
      0.3362,
      0.3966,
      0.4394,
      0.278,
      0.5032,
      0.4346,
      0.5375,
      0.3021,
      0.543,
      0.4106,
      0.4582,
      0.5055,
      0.2748,
      0.608,
      0.3995,
      0.3176,
      0.3238,
      0.4507,
      0.5036,
      0.4347,
      0.5266,
      0.4196,
      0.37,
      0.3755,
      0.311,
      0.4987,
      0.4286,
      0.3753,
      0.293,
      0.3965,
      0.3197,
      0.4199,
      0.4089,
      0.4542,
      0.39,
      0.4355,
      0.1488,
      0.4878,
      0.5371,
      0.2077,
      0.2844,
      0.22,
      0.2017,
      0.1746,
      0.2156,
      0.1891,
      0.2873,
      0.2293,
      0.2347,
      0.1342,
      0.2053,
      0.242,
      0.2281,
      0.5589,
      0.1365,
      0.5341,
      0,
      0,
      0,
      0,
      0,
      0,
      0.191,
      0.1405,
      0.1885,
      0.1651,
      0.198,
      0.1858,
      0.0257,
      0.2587,
      0.2334,
      0.2353,
      0.1463,
      0.1764,
      0.1369,
      0.1388,
      0.1773,
      0.2334,
      0.3837,
      0.2281,
      0.1733,
      0.3321,
      0.2984,
      0.4384,
      0.4138,
      0.4084,
      0.5046,
      0.4942,
      0.4384,
      0.4042,
      0.389,
      0.1946,
      0.3031,
      0.2004,
      0.1767,
      0.199,
      0.3595,
      0.1853,
      0.5008,
      0.3935,
      0.451,
      0.3391,
      0.4129,
      0.1302,
      0.2741,
      0.2504,
      0.4546,
      0.2592,
      0.5336,
      0.4464,
      0.546,
      0.4103,
      0.603,
      0.5504,
      0.6181,
      0.3952,
      0.2447,
      0.3848,
      0.223,
      0.4395,
      0.3341,
      0.3547,
      0.3716,
      0.5562,
      0.4166,
      0.3886,
      0.4165,
      0.4409,
      0.319,
      0.2193,
      0.3112,
      0.5974,
      0.3686,
      0.3229,
      0.298,
      0.5772,
      0.5055,
      0.3769,
      0.4103,
      0.198,
      0.4552,
      0.3765,
      0.2532,
      0.2282,
      0.284,
      0.3828,
      0.3257,
      0.4898,
      0.288,
      0.8076,
      0.3674,
      0.4673,
      0.3111,
      0.3554,
      0.3621,
      0.4651,
      0.7068,
      0.73,
      0.5008,
      0.5904,
      0.4298,
      0.5507,
      0.3894,
      0.3755,
      0.545,
      0.2573,
      0.6167,
      0.2609,
      0.4391,
      0.3771,
      0.4113,
      0.3588,
      0.526,
      0.4722,
      0.602,
      0.4384,
      0.3432,
      0.3664,
      0.2091,
      0.1724,
      0.4765,
      0.4036,
      0.3251,
      0.3049,
      0.6085,
      0.5137,
      0.4402,
      0.4122,
      0.4725,
      0.4525,
      0.3367,
      0.3935,
      0.1487,
      0.2913,
      0.3835,
      0.2475,
      0.4746,
      0.5315,
      0.5181,
      0.2926,
      0.3758,
      0.2774,
      0.3368,
      0.4627,
      0.4327,
      0.3224,
      0.4739,
      0.4894,
      0.5295,
      0.3376,
      0.5768,
      0.404,
      0.5505,
      0.453,
      0.1859,
      0.09,
      0.2429,
      0.4241,
      0.3853,
      0.278,
      0.4675,
      0.4169,
      0.4797,
      0.3467,
      0.4112,
      0.5,
      0.178,
      0.2257,
      0.1969,
      0.399,
      0.3893,
      0.4132,
      0.312,
      0.576,
      0.5606,
      0.4552,
      0.3694,
      0.4704,
      0.2074,
      0.2776,
      0.2659,
      0.3286,
      0.2446,
      0.3493,
      0.3186,
      0.4471,
      0.2686,
      0.8047,
      0.3498,
      0.4789,
      0.2796,
      0.4183,
      0.3193,
      0.4448,
      0.5739,
      0.6913,
      0.4479,
      0.5907,
      0.4321,
      0.5929,
      0.4578,
      0.435,
      0.5236,
      0.2593,
      0.5704,
      0.2544,
      0.4212,
      0.4274,
      0.3792,
      0.4678,
      0.4915,
      0.4539,
      0.6304,
      0.3822,
      0.3811,
      0.1404,
      0.2289,
      0.3176,
      0.254,
      0.2748,
      0.3013,
      0.1554,
      0.2724,
      0.2763,
      0.2002,
      0.3538,
      0.2604,
      0.3135,
      0.2866,
      0.5462,
      0.3769,
      0.2741,
      0.3257,
      0.1251,
      0.4672,
      0.3708,
      0.5045,
      0.2435,
      0.4309,
      0.2666,
      0.317,
      0.3521,
      0.4906,
      0.3106,
      0.5307,
      0.4403,
      0.5857,
      0.3459,
      0.5661,
      0.3521,
      0.4526,
      0.5174,
      0.2745,
      0.5711,
      0.3266,
      0.4682,
      0.3976,
      0.4138,
      0.4813,
      0.4988,
      0.4584,
      0.606,
      0.4207,
      0.4214,
      0.2389,
      0.4668,
      0.3859,
      0.3541,
      0.3588,
      0.6054,
      0.3838,
      0.5182,
      0.5034,
      0.5371,
      0.4291,
      0.4455,
      0.2192,
      0.6764,
      0.4381,
      0.2348,
      0.2644,
      0.1496,
      0.172,
      0.1159,
      0.1611,
      0.1708,
      0.2675,
      0.3927,
      0.2821,
      0.21,
      0.09,
      0.2951,
      0.2391,
      0.47,
      0.1253,
      0.5876,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1469,
      0.1462,
      0.2192,
      0.0826,
      0.1246,
      0.1072,
      0.0627,
      0.2363,
      0.1876,
      0.1939,
      0.0839,
      0.1895,
      0.0907,
      0.1745,
      0.2042,
      0.1614,
      0.4332,
      0.2012,
      0.2364,
      0.2234,
      0.3089,
      0.3291,
      0.4603,
      0.3567,
      0.5172,
      0.4973,
      0.3692,
      0.3262,
      0.3601,
      0.2078,
      0.2942,
      0.1915,
      0.0944,
      0.2637,
      0.3326,
      0.1393,
      0.4544,
      0.4357,
      0.4389,
      0.3241,
      0.3692,
      0.1975,
      0.3397,
      0.2344,
      0.4931,
      0.1683,
      0.5596,
      0.518,
      0.554,
      0.4294,
      0.5903,
      0.5317,
      0.5891,
      0.3453,
      0.2356,
      0.2642,
      0.1807,
      0.3875,
      0.3102,
      0.3564,
      0.5304,
      0.5416,
      0.526,
      0.4003,
      0.4456,
      0.3767,
      0.3628,
      0.1838,
      0.2749,
      0.5961,
      0.3688,
      0.301,
      0.3914,
      0.5553,
      0.4993,
      0.3813,
      0.3934,
      0.2572,
      0.457,
      0.3254,
      0.2716,
      0.2428,
      0.3644,
      0.3564,
      0.42,
      0.5107,
      0.2279,
      0.5653,
      0.363,
      0.3923,
      0.3127,
      0.3481,
      0.4096,
      0.428,
      0.6883,
      0.7125,
      0.4316,
      0.5994,
      0.3682,
      0.5572,
      0.4906,
      0.4674,
      0.5562,
      0.2204,
      0.5336,
      0.2633,
      0.4138,
      0.3768,
      0.467,
      0.5273,
      0.526,
      0.5748,
      0.5203,
      0.4265,
      0.3426,
      0.3785,
      0.1302,
      0.1779,
      0.4474,
      0.3487,
      0.3037,
      0.325,
      0.5307,
      0.476,
      0.421,
      0.3526,
      0.4542,
      0.3294,
      0.3957,
      0.4747,
      0.1608,
      0.2592,
      0.3466,
      0.2335,
      0.4375,
      0.5417,
      0.4865,
      0.2999,
      0.3431,
      0.2965,
      0.3732,
      0.3999,
      0.5364,
      0.2644,
      0.5603,
      0.4901,
      0.555,
      0.3487,
      0.5152,
      0.4238,
      0.4893,
      0.3844,
      0.239,
      0.1466,
      0.2112,
      0.4151,
      0.4656,
      0.3982,
      0.5628,
      0.4677,
      0.5652,
      0.3977,
      0.4313,
      0.4908,
      0.1708,
      0.2669,
      0.2265,
      0.3747,
      0.371,
      0.3941,
      0.2622,
      0.5922,
      0.5629,
      0.4255,
      0.338,
      0.5461,
      0.2998,
      0.2736,
      0.2443,
      0.3338,
      0.2557,
      0.411,
      0.3653,
      0.4501,
      0.2149,
      0.5947,
      0.3417,
      0.4576,
      0.2788,
      0.4375,
      0.3651,
      0.4466,
      0.5963,
      0.6992,
      0.4088,
      0.5581,
      0.3526,
      0.5696,
      0.5053,
      0.5071,
      0.5298,
      0.3121,
      0.5587,
      0.1945,
      0.4494,
      0.4471,
      0.4978,
      0.5094,
      0.5128,
      0.5509,
      0.5618,
      0.4114,
      0.3529,
      0.1197,
      0.0787,
      0.2379,
      0.2023,
      0.1917,
      0.3282,
      0.2151,
      0.2211,
      0.2519,
      0.2061,
      0.3549,
      0.2493,
      0.3033,
      0.2368,
      0.5599,
      0.257,
      0.2163,
      0.3757,
      0.2001,
      0.4556,
      0.3099,
      0.4813,
      0.2787,
      0.3745,
      0.2979,
      0.3382,
      0.3252,
      0.5363,
      0.3265,
      0.5476,
      0.4455,
      0.5784,
      0.3659,
      0.5252,
      0.4553,
      0.4332,
      0.5087,
      0.3032,
      0.5499,
      0.2826,
      0.4456,
      0.387,
      0.5116,
      0.4921,
      0.4918,
      0.5787,
      0.5329,
      0.4048,
      0.4176,
      0.3298,
      0.4671,
      0.4357,
      0.3229,
      0.2552,
      0.4807,
      0.39,
      0.5294,
      0.446,
      0.5632,
      0.4482,
      0.466,
      0.2014,
      0.578,
      0.4691,
      0.3794,
      0.2555,
      0.2208,
      0.1771,
      0.1948,
      0.1917,
      0.2565,
      0.2803,
      0.3494,
      0.2267,
      0.1326,
      0.1099,
      0.3043,
      0.162,
      0.4738,
      0.2093,
      0.4792,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2081,
      0.1291,
      0.1998,
      0.1586,
      0.1152,
      0.0176,
      0.1235,
      0.062,
      0.2576,
      0.0911,
      0.1587,
      0.0389,
      0.1504,
      0.1337,
      0.1606,
      0.0614,
      0.4344,
      0.2591,
      0.1547,
      0.3058,
      0.2512,
      0.3567,
      0.3731,
      0.2444,
      0.3343,
      0.3242,
      0.3507,
      0.3562,
      0.3228,
      0.2764,
      0.2222,
      0.1026,
      0.1113,
      0.1865,
      0.2445,
      0.1993,
      0.4352,
      0.454,
      0.4484,
      0.3038,
      0.1725,
      0.1207,
      0.4685,
      0.1558,
      0.3914,
      0.1886,
      0.5545,
      0.3554,
      0.4468,
      0.3342,
      0.5032,
      0.5677,
      0.5382,
      0.3155,
      0.2605,
      0.3616,
      0.2566,
      0.308,
      0.389,
      0.2949,
      0.443,
      0.5036,
      0.3847,
      0.4004,
      0.3919,
      0.3751,
      0.2465,
      0.1431,
      0.3274,
      0.6253,
      0.3646,
      0.228,
      0.2948,
      0.4302,
      0.407,
      0.3617,
      0.3645,
      0.2555,
      0.5443,
      0.3218,
      0.2813,
      0.2268,
      0.3461,
      0.342,
      0.4617,
      0.4903,
      0.2119,
      0.4594,
      0.3455,
      0.3405,
      0.2737,
      0.3857,
      0.4174,
      0.3949,
      0.685,
      0.7097,
      0.4269,
      0.5296,
      0.3029,
      0.5267,
      0.5078,
      0.4105,
      0.6172,
      0.2114,
      0.54,
      0.3273,
      0.4959,
      0.4125,
      0.4634,
      0.4907,
      0.4859,
      0.4875,
      0.5113,
      0.3856,
      0.3917,
      0.3979,
      0.1611,
      0.2165,
      0.4254,
      0.3443,
      0.2185,
      0.2597,
      0.5567,
      0.4033,
      0.4255,
      0.3799,
      0.5039,
      0.3527,
      0.4043,
      0.5159,
      0.1515,
      0.2361,
      0.3749,
      0.1972,
      0.4262,
      0.5382,
      0.4838,
      0.3196,
      0.2516,
      0.3063,
      0.382,
      0.288,
      0.4437,
      0.2259,
      0.5115,
      0.3302,
      0.5265,
      0.2937,
      0.484,
      0.3982,
      0.4359,
      0.3703,
      0.1556,
      0.1238,
      0.2587,
      0.3276,
      0.4217,
      0.2744,
      0.5659,
      0.4616,
      0.4838,
      0.4106,
      0.4303,
      0.4756,
      0.3402,
      0.298,
      0.2208,
      0.4092,
      0.2747,
      0.3284,
      0.236,
      0.4786,
      0.4328,
      0.3827,
      0.389,
      0.486,
      0.3128,
      0.1775,
      0.2352,
      0.2671,
      0.1599,
      0.3384,
      0.4675,
      0.4989,
      0.2425,
      0.5157,
      0.3572,
      0.4652,
      0.2443,
      0.3918,
      0.4094,
      0.2993,
      0.587,
      0.654,
      0.4036,
      0.5222,
      0.3525,
      0.4906,
      0.4618,
      0.4518,
      0.5837,
      0.3457,
      0.5002,
      0.2806,
      0.4343,
      0.4158,
      0.467,
      0.4771,
      0.4547,
      0.4613,
      0.5554,
      0.2975,
      0.323,
      0.1806,
      0.1235,
      0.183,
      0.2366,
      0.1263,
      0.3019,
      0.2078,
      0.2936,
      0.2063,
      0.1969,
      0.3957,
      0.2222,
      0.2452,
      0.2323,
      0.515,
      0.208,
      0.2601,
      0.3666,
      0.2296,
      0.3856,
      0.3427,
      0.4544,
      0.2857,
      0.3935,
      0.3167,
      0.316,
      0.3221,
      0.4581,
      0.2924,
      0.5145,
      0.4022,
      0.5371,
      0.2736,
      0.5091,
      0.4864,
      0.4302,
      0.5595,
      0.35,
      0.5067,
      0.272,
      0.3933,
      0.3256,
      0.4932,
      0.4802,
      0.4377,
      0.5226,
      0.5061,
      0.3262,
      0.415,
      0.2589,
      0.4309,
      0.414,
      0.323,
      0.2639,
      0.4737,
      0.3473,
      0.4226,
      0.3822,
      0.603,
      0.4435,
      0.4476,
      0.2016,
      0.4483,
      0.5372,
      0.3932,
      0.1946,
      0.2449,
      0.1902,
      0.2266,
      0.1827,
      0.2415,
      0.3393,
      0.2605,
      0.2283,
      0.2096,
      0.2573,
      0.348,
      0.2547,
      0.4409,
      0.2244,
      0.4735,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2561,
      0.2801,
      0.2845,
      0.2205,
      0.1792,
      0.2097,
      0.1818,
      0.1304,
      0.2381,
      0.1376,
      0.1995,
      0.1779,
      0.076,
      0.0387,
      0.1032,
      0.1134,
      0.3667,
      0.3955,
      0.279,
      0.3581,
      0.3298,
      0.4305,
      0.3281,
      0.3494,
      0.3662,
      0.4291,
      0.3035,
      0.3578,
      0.3107,
      0.2339,
      0.2438,
      0.1573,
      0.0967,
      0.3806,
      0.3382,
      0.2946,
      0.4468,
      0.4135,
      0.4325,
      0.3762,
      0.2789,
      0.2202,
      0.5346,
      0.2989,
      0.49,
      0.106,
      0.584,
      0.458,
      0.592,
      0.4543,
      0.6201,
      0.5396,
      0.4933,
      0.3572,
      0.371,
      0.4029,
      0.3577,
      0.29,
      0.3635,
      0.3317,
      0.4777,
      0.5396,
      0.5064,
      0.3876,
      0.4607,
      0.2606,
      0.3655,
      0.2584,
      0.3066,
      0.5905,
      0.4225,
      0.3321,
      0.318,
      0.4519,
      0.4476,
      0.3741,
      0.3289,
      0.3761,
      0.5285,
      0.3816,
      0.2274,
      0.2256,
      0.4148,
      0.3156,
      0.4376,
      0.4406,
      0.3514,
      0.4699,
      0.4263,
      0.3969,
      0.3217,
      0.378,
      0.4738,
      0.4621,
      0.668,
      0.6819,
      0.433,
      0.5756,
      0.3753,
      0.557,
      0.5228,
      0.5179,
      0.6064,
      0.3399,
      0.5434,
      0.3716,
      0.4571,
      0.4133,
      0.4609,
      0.4271,
      0.5057,
      0.5327,
      0.4934,
      0.4421,
      0.3194,
      0.3846,
      0.2379,
      0.3572,
      0.3574,
      0.3711,
      0.327,
      0.2644,
      0.5415,
      0.4315,
      0.4342,
      0.3598,
      0.4179,
      0.4153,
      0.3424,
      0.497,
      0.1282,
      0.3494,
      0.4492,
      0.2674,
      0.424,
      0.5197,
      0.4765,
      0.4058,
      0.2582,
      0.304,
      0.3858,
      0.211,
      0.478,
      0.2676,
      0.4961,
      0.4347,
      0.5885,
      0.2939,
      0.5547,
      0.4243,
      0.544,
      0.4099,
      0.3702,
      0.2887,
      0.3822,
      0.3591,
      0.4039,
      0.2575,
      0.5015,
      0.4349,
      0.5052,
      0.4064,
      0.4413,
      0.5046,
      0.3448,
      0.2855,
      0.3135,
      0.4148,
      0.3648,
      0.3643,
      0.3241,
      0.4718,
      0.4409,
      0.3159,
      0.4506,
      0.4595,
      0.2545,
      0.1815,
      0.2431,
      0.3476,
      0.3624,
      0.3999,
      0.4616,
      0.3972,
      0.3321,
      0.4912,
      0.4205,
      0.4936,
      0.3534,
      0.4328,
      0.4879,
      0.4515,
      0.5556,
      0.6268,
      0.446,
      0.6007,
      0.4329,
      0.5412,
      0.5022,
      0.4693,
      0.5705,
      0.4012,
      0.5582,
      0.3757,
      0.4408,
      0.4184,
      0.4716,
      0.4626,
      0.4751,
      0.4982,
      0.5106,
      0.3579,
      0.3564,
      0.0823,
      0.1959,
      0.1459,
      0.2104,
      0.146,
      0.3505,
      0.2172,
      0.2032,
      0.2749,
      0.3161,
      0.3999,
      0.2636,
      0.2287,
      0.2443,
      0.5352,
      0.2813,
      0.3286,
      0.3433,
      0.231,
      0.443,
      0.3484,
      0.4813,
      0.3898,
      0.3881,
      0.2792,
      0.3302,
      0.3477,
      0.5299,
      0.2689,
      0.5391,
      0.4532,
      0.5931,
      0.337,
      0.5398,
      0.5195,
      0.507,
      0.5679,
      0.4219,
      0.5827,
      0.4426,
      0.4184,
      0.2984,
      0.5069,
      0.4521,
      0.4398,
      0.551,
      0.4834,
      0.4147,
      0.4226,
      0.4143,
      0.4757,
      0.4209,
      0.3329,
      0.4071,
      0.4867,
      0.4233,
      0.4051,
      0.4914,
      0.5738,
      0.456,
      0.4102,
      0.2938,
      0.4276,
      0.5347,
      0.3701,
      0.3953,
      0.3938,
      0.4522,
      0.2434,
      0.4134,
      0.3483,
      0.4373,
      0.2236,
      0.1879,
      0.2797,
      0.3003,
      0.4174,
      0.2303,
      0.5645,
      0.2526,
      0.5546,
      0.0049,
      0,
      0,
      0,
      0,
      0,
      0.2955,
      0.2291,
      0.193,
      0.2665,
      0.2715,
      0.248,
      0.207,
      0.1388,
      0.1529,
      0.0891,
      0.1344,
      0.1288,
      0.0192,
      0.0296,
      0.0807,
      0.0952,
      0.42,
      0.4394,
      0.3152,
      0.427,
      0.3245,
      0.4429,
      0.3847,
      0.3855,
      0.3782,
      0.5331,
      0.366,
      0.4036,
      0.3695,
      0.3814,
      0.2478,
      0.2874,
      0.1482,
      0.4091,
      0.3516,
      0.3288,
      0.4626,
      0.4247,
      0.4672,
      0.3529,
      0.2998,
      0.2795,
      0.4605,
      0.2697,
      0.473,
      0.2618,
      0.5341,
      0.5393,
      0.5406,
      0.4035,
      0.6092,
      0.492,
      0.5372,
      0.424,
      0.383,
      0.316,
      0.2521,
      0.2438,
      0.3095,
      0.2695,
      0.4842,
      0.4923,
      0.4401,
      0.4428,
      0.4325,
      0.4374,
      0.4225,
      0.347,
      0.3826,
      0.4729,
      0.4086,
      0.2914,
      0.3617,
      0.3504,
      0.5302,
      0.4328,
      0.3567,
      0.4218,
      0.5188,
      0.4118,
      0.3294,
      0.2355,
      0.3912,
      0.4479,
      0.4214,
      0.4544,
      0.3513,
      0.514,
      0.415,
      0.3616,
      0.2302,
      0.3918,
      0.4211,
      0.4707,
      0.6224,
      0.6601,
      0.5515,
      0.5802,
      0.3826,
      0.5652,
      0.5133,
      0.5265,
      0.5999,
      0.3488,
      0.5362,
      0.284,
      0.4076,
      0.3668,
      0.4304,
      0.4854,
      0.4937,
      0.4867,
      0.5178,
      0.4656,
      0.3574,
      0.4355,
      0.3185,
      0.3775,
      0.3614,
      0.4403,
      0.3082,
      0.3639,
      0.4982,
      0.5318,
      0.4394,
      0.4604,
      0.4392,
      0.4144,
      0.3601,
      0.5111,
      0.271,
      0.3469,
      0.4155,
      0.2443,
      0.4181,
      0.5609,
      0.4487,
      0.3316,
      0.333,
      0.3878,
      0.4069,
      0.2576,
      0.5406,
      0.2408,
      0.5344,
      0.5357,
      0.5151,
      0.3777,
      0.5416,
      0.4254,
      0.5238,
      0.465,
      0.3936,
      0.3125,
      0.3042,
      0.3124,
      0.3152,
      0.2726,
      0.5297,
      0.4461,
      0.4836,
      0.3996,
      0.4381,
      0.4918,
      0.3832,
      0.3554,
      0.3914,
      0.453,
      0.4217,
      0.3698,
      0.3443,
      0.5114,
      0.5324,
      0.4933,
      0.4454,
      0.4743,
      0.3883,
      0.2288,
      0.2748,
      0.3364,
      0.3862,
      0.4452,
      0.4877,
      0.4608,
      0.3529,
      0.5061,
      0.4274,
      0.4588,
      0.279,
      0.445,
      0.4099,
      0.4999,
      0.5409,
      0.5737,
      0.4854,
      0.5616,
      0.4221,
      0.5771,
      0.5075,
      0.546,
      0.5742,
      0.4208,
      0.4962,
      0.3284,
      0.4236,
      0.4064,
      0.4002,
      0.4341,
      0.483,
      0.5006,
      0.5163,
      0.4315,
      0.3164,
      0.1577,
      0.1884,
      0.2383,
      0.2275,
      0.2119,
      0.2587,
      0.2936,
      0.2051,
      0.2387,
      0.1358,
      0.417,
      0.2813,
      0.328,
      0.2583,
      0.5055,
      0.3898,
      0.2799,
      0.4075,
      0.2483,
      0.4382,
      0.3948,
      0.5011,
      0.3527,
      0.3629,
      0.2761,
      0.3626,
      0.354,
      0.4842,
      0.2734,
      0.5302,
      0.4852,
      0.5249,
      0.3569,
      0.5825,
      0.4996,
      0.5104,
      0.5288,
      0.4253,
      0.5047,
      0.4197,
      0.363,
      0.3622,
      0.4064,
      0.5054,
      0.4893,
      0.491,
      0.5217,
      0.3798,
      0.4589,
      0.4678,
      0.4492,
      0.4464,
      0.3815,
      0.4144,
      0.4056,
      0.4763,
      0.3955,
      0.5122,
      0.581,
      0.4749,
      0.4206,
      0.3866,
      0.4713,
      0.5662,
      0.3505,
      0.3333,
      0.4073,
      0.4561,
      0.2599,
      0.4097,
      0.3361,
      0.3696,
      0.1145,
      0.3128,
      0.3493,
      0.358,
      0.4698,
      0.3763,
      0.5869,
      0.2705,
      0.4963,
      0.0846,
      0,
      0,
      0,
      0,
      0,
      0.2933,
      0.1937,
      0.1816,
      0.1584,
      0.1508,
      0.048,
      0.1653,
      0.1415,
      0.1608,
      0,
      0.0963,
      0.0535,
      0.0933,
      0.0645,
      0.1855,
      0.2307,
      0.388,
      0.269,
      0.2144,
      0.3,
      0.244,
      0.3924,
      0.3288,
      0.2932,
      0.4613,
      0.4864,
      0.3717,
      0.3836,
      0.3998,
      0.2013,
      0.2862,
      0.2035,
      0.215,
      0.3393,
      0.4069,
      0.1241,
      0.5237,
      0.52,
      0.4854,
      0.3139,
      0.2742,
      0.2063,
      0.3417,
      0.2191,
      0.5758,
      0.1854,
      0.518,
      0.504,
      0.6071,
      0.3846,
      0.6015,
      0.4096,
      0.4658,
      0.2378,
      0.2525,
      0.2939,
      0.2135,
      0.254,
      0.3479,
      0.3947,
      0.5325,
      0.5692,
      0.5503,
      0.3856,
      0.44,
      0.3674,
      0.3604,
      0.3367,
      0.306,
      0.4858,
      0.3842,
      0.3025,
      0.2847,
      0.4409,
      0.5023,
      0.3982,
      0.3693,
      0.3217,
      0.5558,
      0.3777,
      0.2742,
      0.2226,
      0.3464,
      0.429,
      0.4287,
      0.5222,
      0.3085,
      0.4753,
      0.3398,
      0.3822,
      0.3484,
      0.3609,
      0.3894,
      0.5517,
      0.5667,
      0.643,
      0.4832,
      0.5774,
      0.3596,
      0.5391,
      0.4769,
      0.4841,
      0.5925,
      0.2687,
      0.5123,
      0.3014,
      0.4128,
      0.4203,
      0.4697,
      0.5355,
      0.5665,
      0.5491,
      0.5106,
      0.4333,
      0.2976,
      0.3777,
      0.1976,
      0.2484,
      0.3643,
      0.3882,
      0.2577,
      0.3215,
      0.3791,
      0.4476,
      0.4423,
      0.4386,
      0.384,
      0.4024,
      0.3421,
      0.5082,
      0.1752,
      0.3138,
      0.4311,
      0.1666,
      0.4965,
      0.6308,
      0.5176,
      0.3622,
      0.2947,
      0.2846,
      0.4467,
      0.2884,
      0.6078,
      0.2078,
      0.5311,
      0.4614,
      0.5396,
      0.3765,
      0.5544,
      0.4382,
      0.525,
      0.353,
      0.1665,
      0.1596,
      0.2571,
      0.4014,
      0.3957,
      0.3674,
      0.5517,
      0.5023,
      0.5491,
      0.3964,
      0.4197,
      0.5073,
      0.2185,
      0.3107,
      0.3036,
      0.4123,
      0.4224,
      0.2743,
      0.2814,
      0.5013,
      0.4926,
      0.3882,
      0.3826,
      0.4768,
      0.2616,
      0.2295,
      0.2391,
      0.318,
      0.3293,
      0.4489,
      0.4525,
      0.5122,
      0.2874,
      0.5132,
      0.3953,
      0.4555,
      0.342,
      0.4218,
      0.3996,
      0.5197,
      0.5087,
      0.5432,
      0.4372,
      0.5511,
      0.4055,
      0.5793,
      0.517,
      0.499,
      0.5505,
      0.3286,
      0.5042,
      0.3106,
      0.4673,
      0.4353,
      0.4577,
      0.5206,
      0.5353,
      0.54,
      0.5629,
      0.4392,
      0.2624,
      0.1066,
      0.1799,
      0.2653,
      0.1894,
      0.1949,
      0.2718,
      0.213,
      0.1805,
      0.3066,
      0.315,
      0.4319,
      0.2162,
      0.3291,
      0.3008,
      0.5327,
      0.3653,
      0.3084,
      0.3746,
      0.1217,
      0.5191,
      0.4474,
      0.5556,
      0.247,
      0.3661,
      0.226,
      0.283,
      0.261,
      0.5763,
      0.3467,
      0.5053,
      0.4077,
      0.5407,
      0.3228,
      0.5761,
      0.4801,
      0.5037,
      0.5431,
      0.3146,
      0.528,
      0.3182,
      0.4351,
      0.3181,
      0.4429,
      0.5138,
      0.5446,
      0.5633,
      0.567,
      0.423,
      0.4386,
      0.2881,
      0.4582,
      0.4206,
      0.2921,
      0.3145,
      0.4358,
      0.3996,
      0.4437,
      0.4723,
      0.6128,
      0.4908,
      0.4641,
      0.1478,
      0.538,
      0.5241,
      0.3809,
      0.1355,
      0.1573,
      0.2139,
      0.1551,
      0.1483,
      0.212,
      0.1613,
      0.1756,
      0.2218,
      0.2565,
      0.1832,
      0.4239,
      0.2478,
      0.6002,
      0.1707,
      0.5421,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2695,
      0.2255,
      0.1975,
      0.159,
      0.2115,
      0.092,
      0.2002,
      0.0736,
      0.185,
      0.1068,
      0.1601,
      0.2016,
      0.0947,
      0.1107,
      0.1705,
      0.2388,
      0.3961,
      0.2845,
      0.1891,
      0.2657,
      0.2691,
      0.4345,
      0.3838,
      0.3341,
      0.4805,
      0.4585,
      0.4066,
      0.2893,
      0.4201,
      0.2799,
      0.2176,
      0.2192,
      0.2122,
      0.1322,
      0.3216,
      0.1167,
      0.4624,
      0.4492,
      0.4646,
      0.3646,
      0.1961,
      0.2674,
      0.3503,
      0.3222,
      0.5101,
      0.3016,
      0.4996,
      0.4624,
      0.545,
      0.3824,
      0.5432,
      0.4843,
      0.5377,
      0.3289,
      0.1752,
      0.2617,
      0.2364,
      0.266,
      0.3768,
      0.3536,
      0.4583,
      0.5336,
      0.4584,
      0.3503,
      0.3917,
      0.3742,
      0.3282,
      0.2722,
      0.292,
      0.5386,
      0.4205,
      0.2977,
      0.3013,
      0.446,
      0.4476,
      0.3642,
      0.3242,
      0.275,
      0.4647,
      0.3682,
      0.2159,
      0.2563,
      0.262,
      0.3367,
      0.3978,
      0.5225,
      0.283,
      0.4984,
      0.3571,
      0.3395,
      0.3466,
      0.4094,
      0.4303,
      0.5254,
      0.3782,
      0.6659,
      0.5045,
      0.4667,
      0.3715,
      0.5199,
      0.4616,
      0.5054,
      0.5847,
      0.181,
      0.5053,
      0.3102,
      0.3741,
      0.4517,
      0.4751,
      0.4804,
      0.516,
      0.4982,
      0.4702,
      0.2867,
      0.3214,
      0.4381,
      0.2411,
      0.2268,
      0.4173,
      0.4001,
      0.3166,
      0.2874,
      0.4765,
      0.4269,
      0.4201,
      0.3786,
      0.3996,
      0.4026,
      0.3866,
      0.4822,
      0.2094,
      0.3787,
      0.3604,
      0.0574,
      0.4296,
      0.5944,
      0.5118,
      0.3908,
      0.2094,
      0.2829,
      0.4344,
      0.3596,
      0.5295,
      0.2225,
      0.4614,
      0.4981,
      0.5307,
      0.347,
      0.5199,
      0.3562,
      0.4916,
      0.4121,
      0.1953,
      0.2162,
      0.2696,
      0.3196,
      0.3755,
      0.329,
      0.5521,
      0.4717,
      0.496,
      0.3452,
      0.3427,
      0.4669,
      0.2262,
      0.2573,
      0.2507,
      0.4564,
      0.4206,
      0.3397,
      0.2044,
      0.5146,
      0.4856,
      0.395,
      0.3353,
      0.4781,
      0.3529,
      0.2481,
      0.2266,
      0.3494,
      0.2868,
      0.381,
      0.4068,
      0.5001,
      0.2889,
      0.5449,
      0.3586,
      0.4233,
      0.2179,
      0.3927,
      0.4115,
      0.5057,
      0.4837,
      0.6149,
      0.4216,
      0.5351,
      0.3512,
      0.5145,
      0.5012,
      0.5241,
      0.5577,
      0.2599,
      0.4788,
      0.2886,
      0.4141,
      0.4502,
      0.4987,
      0.4684,
      0.4596,
      0.4969,
      0.5553,
      0.3294,
      0.3026,
      0.1644,
      0.1762,
      0.2457,
      0.2571,
      0.189,
      0.2902,
      0.1862,
      0.1954,
      0.2865,
      0.2891,
      0.4085,
      0.3118,
      0.3271,
      0.251,
      0.5831,
      0.3112,
      0.2548,
      0.3328,
      0.0909,
      0.4637,
      0.3137,
      0.5197,
      0.2183,
      0.3383,
      0.3084,
      0.255,
      0.3106,
      0.543,
      0.4196,
      0.4863,
      0.4138,
      0.5335,
      0.3543,
      0.5455,
      0.4558,
      0.4907,
      0.5361,
      0.3123,
      0.5049,
      0.3412,
      0.3568,
      0.3379,
      0.4775,
      0.4673,
      0.4766,
      0.4861,
      0.512,
      0.2834,
      0.4015,
      0.2569,
      0.413,
      0.431,
      0.2621,
      0.312,
      0.429,
      0.3481,
      0.4364,
      0.3562,
      0.6441,
      0.4803,
      0.4461,
      0.2831,
      0.5112,
      0.4718,
      0.4051,
      0.1817,
      0.2045,
      0.0979,
      0.0924,
      0.1517,
      0.2145,
      0.2185,
      0.2085,
      0.2096,
      0.2112,
      0.1829,
      0.3502,
      0.2811,
      0.5253,
      0.1784,
      0.5341,
      0.0536,
      0,
      0,
      0,
      0,
      0,
      0.2461,
      0.1786,
      0.1692,
      0.1534,
      0.1913,
      0.0712,
      0.096,
      0.2542,
      0.2137,
      0.0111,
      0.122,
      0.1767,
      0.0032,
      0.0493,
      0.2226,
      0.1973,
      0.4157,
      0.2619,
      0.0521,
      0.2946,
      0.2322,
      0.4291,
      0.3258,
      0.2487,
      0.4407,
      0.4632,
      0.3833,
      0.3473,
      0.3781,
      0.27,
      0.2609,
      0.1439,
      0.1985,
      0.0664,
      0.2339,
      0.1579,
      0.3771,
      0.4468,
      0.4425,
      0.2493,
      0.3397,
      0.2527,
      0.3764,
      0.2609,
      0.4678,
      0.2093,
      0.5491,
      0.2954,
      0.5502,
      0.3471,
      0.534,
      0.4785,
      0.4944,
      0.3053,
      0.2,
      0.32,
      0.2611,
      0.3023,
      0.4021,
      0.2846,
      0.5421,
      0.4347,
      0.4911,
      0.3824,
      0.3477,
      0.3975,
      0.2699,
      0.1824,
      0.2078,
      0.5123,
      0.293,
      0.2512,
      0.2067,
      0.4116,
      0.389,
      0.3391,
      0.4136,
      0.2337,
      0.52,
      0.3406,
      0.1798,
      0.2937,
      0.3415,
      0.3378,
      0.3988,
      0.4546,
      0.267,
      0.4162,
      0.2977,
      0.4116,
      0.3549,
      0.3718,
      0.4169,
      0.4056,
      0.5019,
      0.5803,
      0.3453,
      0.4586,
      0.4044,
      0.5167,
      0.4322,
      0.4741,
      0.5449,
      0.2211,
      0.4986,
      0.2578,
      0.4177,
      0.4671,
      0.4561,
      0.4825,
      0.4269,
      0.5231,
      0.4356,
      0.3507,
      0.3417,
      0.3769,
      0.115,
      0.1428,
      0.3623,
      0.3447,
      0.2136,
      0.2508,
      0.5049,
      0.4,
      0.4256,
      0.3181,
      0.3578,
      0.4576,
      0.3899,
      0.4151,
      0.2108,
      0.2643,
      0.2343,
      0.1731,
      0.375,
      0.5524,
      0.3629,
      0.2232,
      0.2833,
      0.2728,
      0.4057,
      0.4605,
      0.4888,
      0.2804,
      0.5238,
      0.3401,
      0.5203,
      0.2203,
      0.4996,
      0.4302,
      0.4793,
      0.4139,
      0.2177,
      0.1091,
      0.3013,
      0.3109,
      0.4342,
      0.3417,
      0.5785,
      0.3573,
      0.496,
      0.3326,
      0.3378,
      0.511,
      0.144,
      0.2541,
      0.1343,
      0.4669,
      0.3246,
      0.2845,
      0.2283,
      0.39,
      0.4329,
      0.4086,
      0.3684,
      0.465,
      0.3147,
      0.2134,
      0.1447,
      0.3747,
      0.177,
      0.3321,
      0.4032,
      0.4197,
      0.2835,
      0.3419,
      0.2782,
      0.4042,
      0.2715,
      0.3877,
      0.4221,
      0.429,
      0.5324,
      0.5679,
      0.3738,
      0.541,
      0.3766,
      0.5313,
      0.4588,
      0.4704,
      0.5219,
      0.1983,
      0.4658,
      0.3008,
      0.3752,
      0.4562,
      0.4468,
      0.498,
      0.4247,
      0.5113,
      0.4481,
      0.3615,
      0.2993,
      0.1629,
      0.0504,
      0.2327,
      0.1763,
      0.1144,
      0.467,
      0.2096,
      0.2756,
      0.2952,
      0.2919,
      0.5266,
      0.2509,
      0.3025,
      0.1302,
      0.5642,
      0.2384,
      0.2256,
      0.3388,
      0.1206,
      0.3986,
      0.3256,
      0.4767,
      0.2521,
      0.3692,
      0.3115,
      0.2495,
      0.3781,
      0.4916,
      0.3528,
      0.5112,
      0.3645,
      0.5309,
      0.315,
      0.5081,
      0.4512,
      0.432,
      0.5127,
      0.2723,
      0.4576,
      0.2841,
      0.368,
      0.2698,
      0.473,
      0.5009,
      0.4224,
      0.5166,
      0.485,
      0.3054,
      0.3386,
      0.2198,
      0.4524,
      0.4323,
      0.3274,
      0.2208,
      0.4766,
      0.3262,
      0.4407,
      0.4013,
      0.5989,
      0.4321,
      0.3711,
      0.2321,
      0.4545,
      0.5295,
      0.4159,
      0.1756,
      0.1476,
      0.0702,
      0.0885,
      0.1199,
      0.1601,
      0.2539,
      0.2148,
      0.2157,
      0.212,
      0.1663,
      0.3135,
      0.3161,
      0.4828,
      0.2087,
      0.4886,
      0.0074,
      0,
      0,
      0,
      0,
      0,
      0.2168,
      0.144,
      0.1602,
      0.1176,
      0.184,
      0.0245,
      0.0791,
      0.1134,
      0.1529,
      0.0683,
      0.1164,
      0.0744,
      0.0558,
      0.019,
      0.2023,
      0.0937,
      0.3865,
      0.2057,
      0.1249,
      0.2268,
      0.2808,
      0.3079,
      0.3515,
      0.2012,
      0.3995,
      0.3599,
      0.3917,
      0.3263,
      0.4269,
      0.164,
      0.1833,
      0.1131,
      0.144,
      0.1658,
      0.2828,
      0.1756,
      0.355,
      0.4089,
      0.3717,
      0.3064,
      0.2018,
      0.1248,
      0.3593,
      0.1792,
      0.4746,
      0.2273,
      0.4472,
      0.3,
      0.4813,
      0.3975,
      0.5041,
      0.5407,
      0.4451,
      0.2267,
      0.2966,
      0.334,
      0.2388,
      0.2174,
      0.2378,
      0.2967,
      0.4283,
      0.3985,
      0.4341,
      0.3533,
      0.2708,
      0.4139,
      0.2242,
      0.1782,
      0.2368,
      0.5555,
      0.4001,
      0.214,
      0.3583,
      0.3733,
      0.3871,
      0.4438,
      0.3637,
      0.2118,
      0.4942,
      0.325,
      0.2584,
      0.2608,
      0.3257,
      0.3298,
      0.4462,
      0.4632,
      0.2617,
      0.3643,
      0.27,
      0.327,
      0.2776,
      0.3998,
      0.4645,
      0.5033,
      0.5334,
      0.6252,
      0.3528,
      0.466,
      0.3669,
      0.4279,
      0.4276,
      0.4707,
      0.5786,
      0.0864,
      0.5186,
      0.2196,
      0.3318,
      0.3845,
      0.3921,
      0.4765,
      0.3734,
      0.4636,
      0.3961,
      0.3294,
      0.3029,
      0.387,
      0.1242,
      0.1389,
      0.3961,
      0.3351,
      0.1915,
      0.3019,
      0.583,
      0.3531,
      0.385,
      0.369,
      0.3696,
      0.4026,
      0.3773,
      0.4965,
      0.1863,
      0.194,
      0.3644,
      0.1662,
      0.3928,
      0.5679,
      0.3765,
      0.3271,
      0.2438,
      0.3195,
      0.4615,
      0.3671,
      0.462,
      0.3143,
      0.4552,
      0.3145,
      0.4823,
      0.2301,
      0.437,
      0.4079,
      0.4983,
      0.4174,
      0.1794,
      0.1821,
      0.2478,
      0.3582,
      0.3211,
      0.3066,
      0.5185,
      0.3761,
      0.4602,
      0.407,
      0.3268,
      0.4462,
      0.2405,
      0.2712,
      0.2192,
      0.4467,
      0.2476,
      0.2737,
      0.135,
      0.5013,
      0.5155,
      0.3318,
      0.3479,
      0.5215,
      0.2618,
      0.1376,
      0.258,
      0.341,
      0.1873,
      0.3442,
      0.4752,
      0.4681,
      0.2803,
      0.4206,
      0.244,
      0.3247,
      0.2409,
      0.3309,
      0.4758,
      0.5028,
      0.4681,
      0.6144,
      0.349,
      0.5248,
      0.3487,
      0.5171,
      0.4135,
      0.4748,
      0.5539,
      0.2388,
      0.5381,
      0.2537,
      0.3298,
      0.3635,
      0.4438,
      0.5303,
      0.4472,
      0.4778,
      0.4152,
      0.3038,
      0.2911,
      0.2131,
      0.0869,
      0.1737,
      0.1776,
      0.1583,
      0.3521,
      0.2249,
      0.2179,
      0.2201,
      0.3323,
      0.4209,
      0.305,
      0.3354,
      0.2846,
      0.4749,
      0.292,
      0.3658,
      0.3348,
      0.238,
      0.4163,
      0.3135,
      0.3663,
      0.2895,
      0.2452,
      0.2558,
      0.2762,
      0.2877,
      0.4963,
      0.334,
      0.4618,
      0.4132,
      0.501,
      0.269,
      0.4384,
      0.3955,
      0.4308,
      0.5521,
      0.2933,
      0.556,
      0.2359,
      0.2999,
      0.2147,
      0.4411,
      0.4824,
      0.3985,
      0.4805,
      0.3903,
      0.2545,
      0.2752,
      0.3222,
      0.528,
      0.4489,
      0.3217,
      0.1906,
      0.4005,
      0.34,
      0.3241,
      0.3545,
      0.4961,
      0.4028,
      0.3629,
      0.2061,
      0.5869,
      0.4431,
      0.3745,
      0.2432,
      0.1197,
      0.1149,
      0.1535,
      0.18,
      0.1767,
      0.2105,
      0.1571,
      0.1615,
      0.2013,
      0.2014,
      0.3136,
      0.2821,
      0.5206,
      0.2223,
      0.4312,
      0,
      0,
      0,
      0,
      0,
      0,
      0.223,
      0.2975,
      0.1637,
      0.1273,
      0.1531,
      0.0797,
      0.1009,
      0.0741,
      0.1182,
      0.1402,
      0.1364,
      0.0813,
      0.0434,
      0.1034,
      0.2096,
      0.1022,
      0.4059,
      0.3286,
      0.2688,
      0.3169,
      0.3268,
      0.4064,
      0.4211,
      0.3282,
      0.4591,
      0.4442,
      0.4374,
      0.3334,
      0.3985,
      0.3209,
      0.1772,
      0.1534,
      0.1801,
      0.2271,
      0.3158,
      0.2617,
      0.4361,
      0.3464,
      0.4127,
      0.278,
      0.275,
      0.2182,
      0.3756,
      0.1627,
      0.5286,
      0.2153,
      0.6362,
      0.4461,
      0.584,
      0.4445,
      0.604,
      0.6027,
      0.518,
      0.2521,
      0.2395,
      0.3407,
      0.2219,
      0.1673,
      0.2705,
      0.3059,
      0.4081,
      0.3262,
      0.3882,
      0.377,
      0.325,
      0.4246,
      0.3605,
      0.2744,
      0.2951,
      0.5736,
      0.3552,
      0.3103,
      0.3278,
      0.495,
      0.4416,
      0.3977,
      0.3463,
      0.2906,
      0.4771,
      0.3326,
      0.2231,
      0.2019,
      0.3415,
      0.3565,
      0.377,
      0.4563,
      0.3147,
      0.4504,
      0.2993,
      0.3777,
      0.193,
      0.4553,
      0.4488,
      0.5005,
      0.4772,
      0.6316,
      0.4041,
      0.6097,
      0.3616,
      0.5691,
      0.4869,
      0.5068,
      0.5538,
      0.1817,
      0.5594,
      0.266,
      0.3503,
      0.3773,
      0.3945,
      0.4765,
      0.3598,
      0.4561,
      0.3062,
      0.3346,
      0.3174,
      0.3742,
      0.2622,
      0.2328,
      0.4313,
      0.4253,
      0.268,
      0.2826,
      0.5801,
      0.3947,
      0.4513,
      0.342,
      0.4033,
      0.4627,
      0.407,
      0.436,
      0.1432,
      0.3016,
      0.3697,
      0.1282,
      0.3735,
      0.546,
      0.4411,
      0.3122,
      0.2859,
      0.2419,
      0.5473,
      0.3236,
      0.5626,
      0.3171,
      0.6255,
      0.4291,
      0.5978,
      0.3347,
      0.5556,
      0.4487,
      0.519,
      0.3813,
      0.1536,
      0.1474,
      0.2553,
      0.331,
      0.3415,
      0.3014,
      0.6174,
      0.3873,
      0.449,
      0.3668,
      0.3895,
      0.3158,
      0.2896,
      0.3467,
      0.2902,
      0.3627,
      0.2965,
      0.3346,
      0.2307,
      0.4317,
      0.5133,
      0.4104,
      0.3924,
      0.5367,
      0.3112,
      0.1203,
      0.2491,
      0.3831,
      0.1757,
      0.3364,
      0.3975,
      0.4377,
      0.3076,
      0.4116,
      0.3301,
      0.345,
      0.1955,
      0.4539,
      0.4262,
      0.4976,
      0.4628,
      0.6527,
      0.4257,
      0.6358,
      0.3022,
      0.6071,
      0.4961,
      0.4798,
      0.5491,
      0.2943,
      0.5361,
      0.2255,
      0.3847,
      0.4063,
      0.3731,
      0.498,
      0.4142,
      0.4839,
      0.4849,
      0.3122,
      0.3271,
      0.3041,
      0.3331,
      0.3074,
      0.2917,
      0.2679,
      0.2724,
      0.2051,
      0.2111,
      0.2754,
      0.2318,
      0.4166,
      0.2115,
      0.3323,
      0.3031,
      0.5549,
      0.3557,
      0.3247,
      0.361,
      0.2431,
      0.3579,
      0.3605,
      0.4241,
      0.3303,
      0.301,
      0.2357,
      0.2736,
      0.3082,
      0.5656,
      0.3376,
      0.5589,
      0.4379,
      0.6146,
      0.2978,
      0.5982,
      0.462,
      0.4279,
      0.5416,
      0.2831,
      0.5638,
      0.2942,
      0.3573,
      0.3303,
      0.3926,
      0.4911,
      0.463,
      0.4534,
      0.4136,
      0.332,
      0.3394,
      0.3158,
      0.506,
      0.4458,
      0.3908,
      0.2678,
      0.4359,
      0.3679,
      0.4715,
      0.4158,
      0.5696,
      0.4337,
      0.4429,
      0.2264,
      0.5435,
      0.4506,
      0.3491,
      0.2239,
      0.189,
      0.095,
      0.1985,
      0.1379,
      0.253,
      0.2761,
      0.1742,
      0.2275,
      0.223,
      0.1736,
      0.4441,
      0.2641,
      0.6388,
      0.2586,
      0.6009,
      0.0047,
      0,
      0,
      0,
      0,
      0,
      0.1887,
      0.2498,
      0.2415,
      0.1758,
      0.1811,
      0.2007,
      0.1786,
      0.0491,
      0.141,
      0.1528,
      0.1735,
      0.1455,
      0.1314,
      0.2091,
      0.2014,
      0.1695,
      0.4416,
      0.2439,
      0.2275,
      0.3848,
      0.2882,
      0.4033,
      0.4464,
      0.3646,
      0.5921,
      0.4424,
      0.3912,
      0.3771,
      0.3616,
      0.2532,
      0.2666,
      0.1258,
      0.1992,
      0.2816,
      0.3088,
      0.2428,
      0.484,
      0.3992,
      0.4244,
      0.3498,
      0.2421,
      0.2961,
      0.3921,
      0.2645,
      0.4849,
      0.2725,
      0.6084,
      0.4834,
      0.5846,
      0.4385,
      0.543,
      0.4846,
      0.533,
      0.382,
      0.2032,
      0.3431,
      0.2647,
      0.2699,
      0.3445,
      0.2973,
      0.4386,
      0.4717,
      0.4828,
      0.3353,
      0.408,
      0.4503,
      0.3068,
      0.2444,
      0.3836,
      0.5623,
      0.408,
      0.3219,
      0.3748,
      0.5478,
      0.4879,
      0.3836,
      0.338,
      0.2733,
      0.4556,
      0.3694,
      0.2126,
      0.2594,
      0.314,
      0.3414,
      0.4034,
      0.4305,
      0.1729,
      0.3765,
      0.3217,
      0.3747,
      0.2627,
      0.3997,
      0.4354,
      0.4704,
      0.5365,
      0.6112,
      0.5133,
      0.5628,
      0.3517,
      0.5315,
      0.452,
      0.4561,
      0.5464,
      0.2575,
      0.5686,
      0.3429,
      0.3715,
      0.3873,
      0.4401,
      0.4799,
      0.4721,
      0.4405,
      0.3755,
      0.3099,
      0.3242,
      0.3831,
      0.1797,
      0.2665,
      0.3147,
      0.4105,
      0.3408,
      0.3293,
      0.6228,
      0.5016,
      0.3891,
      0.3625,
      0.3961,
      0.384,
      0.4279,
      0.4883,
      0.1882,
      0.2506,
      0.342,
      0.2574,
      0.4099,
      0.4614,
      0.4729,
      0.3108,
      0.3409,
      0.2576,
      0.4361,
      0.3767,
      0.5043,
      0.2102,
      0.5753,
      0.504,
      0.5614,
      0.3052,
      0.5685,
      0.4274,
      0.5281,
      0.3462,
      0.2076,
      0.1737,
      0.2664,
      0.3936,
      0.3494,
      0.222,
      0.6143,
      0.4055,
      0.4435,
      0.3224,
      0.3111,
      0.407,
      0.2582,
      0.2415,
      0.2905,
      0.4045,
      0.4088,
      0.377,
      0.3094,
      0.5648,
      0.5734,
      0.4943,
      0.5446,
      0.5003,
      0.2744,
      0.1818,
      0.309,
      0.3553,
      0.3163,
      0.3306,
      0.3664,
      0.3648,
      0.2252,
      0.4319,
      0.3325,
      0.3612,
      0.2487,
      0.3725,
      0.4248,
      0.4634,
      0.4853,
      0.6155,
      0.4811,
      0.5793,
      0.3893,
      0.5373,
      0.4868,
      0.4351,
      0.5513,
      0.3141,
      0.5108,
      0.2227,
      0.3624,
      0.4461,
      0.4107,
      0.4767,
      0.4348,
      0.4547,
      0.5136,
      0.2756,
      0.3553,
      0.1836,
      0.1265,
      0.2448,
      0.2445,
      0.2046,
      0.2888,
      0.1712,
      0.296,
      0.3078,
      0.3433,
      0.4357,
      0.1676,
      0.3817,
      0.2879,
      0.4933,
      0.4299,
      0.3115,
      0.464,
      0.2595,
      0.4296,
      0.4173,
      0.5059,
      0.2873,
      0.249,
      0.247,
      0.2428,
      0.3641,
      0.5056,
      0.2789,
      0.5452,
      0.4395,
      0.5385,
      0.3119,
      0.5147,
      0.4437,
      0.4561,
      0.5461,
      0.2453,
      0.4942,
      0.2498,
      0.3944,
      0.3629,
      0.4763,
      0.3792,
      0.438,
      0.5041,
      0.4841,
      0.3599,
      0.4104,
      0.2675,
      0.4529,
      0.4453,
      0.4059,
      0.3112,
      0.4698,
      0.4598,
      0.5982,
      0.5006,
      0.4616,
      0.4269,
      0.4109,
      0.1434,
      0.4558,
      0.4648,
      0.328,
      0.2278,
      0.1983,
      0.1045,
      0.1974,
      0.1816,
      0.2861,
      0.2733,
      0.1892,
      0.2285,
      0.2401,
      0.1804,
      0.3995,
      0.1657,
      0.5941,
      0.3619,
      0.5412,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2569,
      0.2272,
      0.2627,
      0.1945,
      0.2554,
      0.1893,
      0.1723,
      0,
      0.1044,
      0.1121,
      0.0115,
      0.0473,
      0.0495,
      0.1073,
      0.0948,
      0.121,
      0.4493,
      0.36,
      0.3397,
      0.4342,
      0.3787,
      0.3649,
      0.4433,
      0.3312,
      0.5753,
      0.493,
      0.3802,
      0.3907,
      0.3963,
      0.2071,
      0.3016,
      0.2047,
      0.1653,
      0.4697,
      0.3902,
      0.2518,
      0.4961,
      0.4479,
      0.4394,
      0.4104,
      0.2187,
      0.276,
      0.3828,
      0.2408,
      0.4887,
      0.2539,
      0.622,
      0.4841,
      0.6321,
      0.3727,
      0.5552,
      0.5305,
      0.5539,
      0.3335,
      0.335,
      0.3473,
      0.3299,
      0.2853,
      0.3942,
      0.3687,
      0.5738,
      0.5353,
      0.5347,
      0.4281,
      0.4876,
      0.3896,
      0.387,
      0.2628,
      0.3594,
      0.5808,
      0.3992,
      0.3546,
      0.3329,
      0.5939,
      0.5294,
      0.4276,
      0.4335,
      0.3141,
      0.4512,
      0.3609,
      0.3655,
      0.2387,
      0.39,
      0.4449,
      0.3922,
      0.512,
      0.2366,
      0.3697,
      0.3812,
      0.3639,
      0.2639,
      0.4124,
      0.4443,
      0.5259,
      0.5602,
      0.6102,
      0.4669,
      0.6522,
      0.4201,
      0.5134,
      0.4346,
      0.4552,
      0.5547,
      0.3204,
      0.5102,
      0.3847,
      0.4309,
      0.4155,
      0.4838,
      0.5591,
      0.5182,
      0.5849,
      0.4664,
      0.4582,
      0.31,
      0.4297,
      0.2655,
      0.404,
      0.419,
      0.4108,
      0.3271,
      0.3805,
      0.5614,
      0.4763,
      0.4387,
      0.4604,
      0.4615,
      0.3753,
      0.4778,
      0.5167,
      0.2,
      0.2237,
      0.4443,
      0.2977,
      0.4974,
      0.5356,
      0.5093,
      0.5072,
      0.4226,
      0.2869,
      0.3863,
      0.3294,
      0.5424,
      0.2122,
      0.6226,
      0.4424,
      0.6073,
      0.3605,
      0.6108,
      0.4574,
      0.5432,
      0.3921,
      0.2609,
      0.2767,
      0.3456,
      0.438,
      0.4533,
      0.3542,
      0.5708,
      0.4788,
      0.5579,
      0.359,
      0.4103,
      0.4367,
      0.2849,
      0.3051,
      0.3774,
      0.3828,
      0.4238,
      0.3932,
      0.2998,
      0.5419,
      0.5541,
      0.488,
      0.4816,
      0.5545,
      0.3459,
      0.1953,
      0.2564,
      0.3123,
      0.3758,
      0.4519,
      0.4125,
      0.4926,
      0.2363,
      0.4846,
      0.3652,
      0.3862,
      0.2153,
      0.4319,
      0.4356,
      0.5595,
      0.5357,
      0.6258,
      0.3941,
      0.6359,
      0.435,
      0.5822,
      0.4357,
      0.3875,
      0.5607,
      0.292,
      0.4985,
      0.3487,
      0.4387,
      0.4341,
      0.4217,
      0.5545,
      0.4815,
      0.5656,
      0.554,
      0.4273,
      0.3086,
      0.1517,
      0.2065,
      0.1537,
      0.2417,
      0.2587,
      0.4204,
      0.2596,
      0.2087,
      0.2082,
      0.3385,
      0.4602,
      0.1889,
      0.3538,
      0.2222,
      0.5079,
      0.2995,
      0.2517,
      0.4615,
      0.2079,
      0.537,
      0.3298,
      0.5051,
      0.2777,
      0.3361,
      0.2367,
      0.3106,
      0.3326,
      0.5245,
      0.3058,
      0.6073,
      0.3971,
      0.6171,
      0.3711,
      0.5517,
      0.4072,
      0.327,
      0.5375,
      0.3227,
      0.52,
      0.3053,
      0.3571,
      0.2859,
      0.4836,
      0.5469,
      0.5109,
      0.6086,
      0.4973,
      0.4111,
      0.4271,
      0.3924,
      0.4959,
      0.3999,
      0.4458,
      0.3106,
      0.4243,
      0.4337,
      0.5006,
      0.5134,
      0.47,
      0.4332,
      0.4357,
      0.0687,
      0.4953,
      0.5136,
      0.2828,
      0.3421,
      0.3433,
      0.3709,
      0.2844,
      0.3186,
      0.2869,
      0.2917,
      0.1715,
      0.1646,
      0.2367,
      0.153,
      0.4019,
      0.1671,
      0.5772,
      0.263,
      0.5586,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1815,
      0.1534,
      0.1812,
      0.1228,
      0.1246,
      0.0438,
      0.0618,
      0.0671,
      0.1313,
      0.0704,
      0.1352,
      0.0836,
      0.0384,
      0.0763,
      0.1169,
      0.1106,
      0.3578,
      0.294,
      0.2082,
      0.346,
      0.2954,
      0.4479,
      0.4545,
      0.3558,
      0.626,
      0.5568,
      0.5107,
      0.4674,
      0.4443,
      0.2792,
      0.3374,
      0.199,
      0.1492,
      0.3682,
      0.2774,
      0.3948,
      0.426,
      0.466,
      0.4155,
      0.3726,
      0.2985,
      0.202,
      0.4355,
      0.1995,
      0.4527,
      0.2754,
      0.5931,
      0.4558,
      0.5766,
      0.427,
      0.5765,
      0.4627,
      0.5732,
      0.3422,
      0.1456,
      0.417,
      0.309,
      0.2411,
      0.4083,
      0.3325,
      0.4437,
      0.4898,
      0.4964,
      0.3933,
      0.4857,
      0.3031,
      0.34,
      0.2892,
      0.3112,
      0.4827,
      0.4075,
      0.4028,
      0.3446,
      0.6033,
      0.553,
      0.4317,
      0.4758,
      0.3531,
      0.477,
      0.3587,
      0.2539,
      0.2866,
      0.3316,
      0.388,
      0.3675,
      0.4482,
      0.1985,
      0.3475,
      0.4203,
      0.3601,
      0.3555,
      0.4264,
      0.4713,
      0.441,
      0.6404,
      0.5006,
      0.4975,
      0.586,
      0.4084,
      0.5308,
      0.4327,
      0.4824,
      0.5589,
      0.2323,
      0.5303,
      0.3349,
      0.3803,
      0.4379,
      0.4255,
      0.515,
      0.4945,
      0.4927,
      0.4,
      0.4735,
      0.3583,
      0.3181,
      0.1935,
      0.1941,
      0.4568,
      0.4423,
      0.3387,
      0.3442,
      0.5767,
      0.5486,
      0.4543,
      0.4925,
      0.4564,
      0.4071,
      0.4594,
      0.4788,
      0.1903,
      0.2531,
      0.4299,
      0.1051,
      0.4117,
      0.5599,
      0.4445,
      0.565,
      0.2886,
      0.2436,
      0.4433,
      0.3354,
      0.385,
      0.2395,
      0.5368,
      0.4543,
      0.6121,
      0.3927,
      0.5415,
      0.471,
      0.4869,
      0.4568,
      0.226,
      0.2298,
      0.3082,
      0.3961,
      0.4715,
      0.2743,
      0.5434,
      0.4848,
      0.5068,
      0.3478,
      0.4365,
      0.4179,
      0.1987,
      0.2289,
      0.2745,
      0.4086,
      0.4564,
      0.469,
      0.3265,
      0.573,
      0.5923,
      0.4729,
      0.4399,
      0.5551,
      0.317,
      0.2264,
      0.2292,
      0.3177,
      0.2602,
      0.3551,
      0.4333,
      0.4938,
      0.2318,
      0.4097,
      0.4395,
      0.3905,
      0.2847,
      0.4235,
      0.4503,
      0.4113,
      0.5713,
      0.5785,
      0.5072,
      0.6171,
      0.3788,
      0.4942,
      0.4511,
      0.4474,
      0.5496,
      0.235,
      0.5674,
      0.3441,
      0.3924,
      0.4548,
      0.428,
      0.4863,
      0.4727,
      0.5109,
      0.4936,
      0.4471,
      0.2644,
      0.0397,
      0.0742,
      0.2038,
      0.2083,
      0.2446,
      0.3227,
      0.2467,
      0.2479,
      0.2962,
      0.4117,
      0.4176,
      0.3173,
      0.3207,
      0.1708,
      0.5719,
      0.2824,
      0.2423,
      0.3997,
      0.1318,
      0.465,
      0.3723,
      0.368,
      0.2785,
      0.291,
      0.2442,
      0.3544,
      0.4222,
      0.4581,
      0.3189,
      0.575,
      0.4823,
      0.5945,
      0.3148,
      0.5088,
      0.4531,
      0.415,
      0.5462,
      0.2678,
      0.5475,
      0.4153,
      0.3885,
      0.3927,
      0.3967,
      0.4117,
      0.4226,
      0.5322,
      0.4234,
      0.4131,
      0.4278,
      0.3229,
      0.4791,
      0.4351,
      0.3306,
      0.3113,
      0.4272,
      0.4731,
      0.6107,
      0.5505,
      0.5015,
      0.3996,
      0.5247,
      0.1728,
      0.4387,
      0.5207,
      0.3511,
      0.2063,
      0.2193,
      0.1139,
      0.1209,
      0.2015,
      0.1772,
      0.1971,
      0.1852,
      0.225,
      0.2693,
      0.1087,
      0.3626,
      0.1867,
      0.4903,
      0.0934,
      0.5736,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1589,
      0.1701,
      0.215,
      0.1073,
      0.0858,
      0,
      0.066,
      0.0705,
      0.2165,
      0.1178,
      0.1706,
      0.0636,
      0.0953,
      0.0674,
      0.0739,
      0.0473,
      0.387,
      0.2624,
      0.208,
      0.3562,
      0.3466,
      0.484,
      0.5594,
      0.4331,
      0.7017,
      0.6116,
      0.55,
      0.5282,
      0.4299,
      0.2029,
      0.3548,
      0.1389,
      0.1531,
      0.2776,
      0.4484,
      0.3256,
      0.6296,
      0.4658,
      0.537,
      0.3211,
      0.2557,
      0.1831,
      0.3654,
      0.2931,
      0.4628,
      0.3172,
      0.5855,
      0.5991,
      0.5184,
      0.4848,
      0.6075,
      0.5798,
      0.5145,
      0.3761,
      0.2613,
      0.4232,
      0.2688,
      0.2917,
      0.4788,
      0.4911,
      0.6123,
      0.6497,
      0.602,
      0.4229,
      0.5465,
      0.3736,
      0.2463,
      0.2631,
      0.3092,
      0.5407,
      0.4942,
      0.4469,
      0.4452,
      0.69,
      0.6251,
      0.5164,
      0.529,
      0.2834,
      0.492,
      0.357,
      0.1699,
      0.2881,
      0.3466,
      0.4414,
      0.3829,
      0.5619,
      0.2357,
      0.5193,
      0.3703,
      0.3957,
      0.2997,
      0.3315,
      0.4073,
      0.4747,
      0.6252,
      0.6015,
      0.6243,
      0.5465,
      0.4441,
      0.5945,
      0.4602,
      0.3911,
      0.5562,
      0.2417,
      0.5622,
      0.3346,
      0.4845,
      0.5399,
      0.4798,
      0.6065,
      0.6386,
      0.6226,
      0.5443,
      0.5347,
      0.3715,
      0.3266,
      0.1544,
      0.2584,
      0.4223,
      0.5088,
      0.4694,
      0.4203,
      0.6956,
      0.6137,
      0.5227,
      0.5261,
      0.341,
      0.3148,
      0.4699,
      0.4425,
      0.2662,
      0.3915,
      0.465,
      0.1923,
      0.6135,
      0.5492,
      0.6244,
      0.3845,
      0.2826,
      0.2954,
      0.3865,
      0.3699,
      0.4708,
      0.3269,
      0.5454,
      0.6051,
      0.524,
      0.4225,
      0.6241,
      0.5197,
      0.5564,
      0.4361,
      0.2524,
      0.3215,
      0.2915,
      0.3741,
      0.4992,
      0.3698,
      0.6034,
      0.6355,
      0.6207,
      0.4373,
      0.5054,
      0.4805,
      0.247,
      0.3088,
      0.3401,
      0.4484,
      0.5115,
      0.5145,
      0.4058,
      0.6971,
      0.6421,
      0.5911,
      0.4985,
      0.5292,
      0.2314,
      0.2398,
      0.1705,
      0.3406,
      0.3004,
      0.4805,
      0.4595,
      0.598,
      0.2839,
      0.5989,
      0.3614,
      0.5022,
      0.2402,
      0.3934,
      0.4138,
      0.4853,
      0.579,
      0.5459,
      0.5574,
      0.535,
      0.4624,
      0.6204,
      0.4409,
      0.4098,
      0.5633,
      0.1999,
      0.5202,
      0.3127,
      0.481,
      0.4862,
      0.4426,
      0.6172,
      0.6337,
      0.6118,
      0.6457,
      0.4999,
      0.3311,
      0.1278,
      0.0822,
      0.2465,
      0.2723,
      0.1994,
      0.2973,
      0.2978,
      0.2442,
      0.2857,
      0.2757,
      0.4397,
      0.2691,
      0.4065,
      0.2831,
      0.5377,
      0.3792,
      0.3089,
      0.4844,
      0.1533,
      0.617,
      0.3245,
      0.6126,
      0.3243,
      0.3715,
      0.2742,
      0.3044,
      0.3379,
      0.4556,
      0.3423,
      0.5126,
      0.5579,
      0.5827,
      0.4019,
      0.6084,
      0.4213,
      0.4065,
      0.5556,
      0.2572,
      0.4557,
      0.3338,
      0.4822,
      0.3773,
      0.4732,
      0.5936,
      0.636,
      0.636,
      0.6194,
      0.4707,
      0.4716,
      0.3262,
      0.4409,
      0.4527,
      0.4677,
      0.3845,
      0.5023,
      0.5476,
      0.7028,
      0.6046,
      0.5848,
      0.4127,
      0.591,
      0.1686,
      0.4603,
      0.4654,
      0.3848,
      0.2092,
      0.1587,
      0.1279,
      0.1346,
      0.143,
      0.2301,
      0.1666,
      0.2823,
      0.1659,
      0.2151,
      0.1153,
      0.4039,
      0.2683,
      0.5392,
      0.0504,
      0.5905,
      0,
      0,
      0,
      0,
      0,
      0,
      0.203,
      0.1433,
      0.1894,
      0.1213,
      0.0916,
      0.002,
      0.0683,
      0.1557,
      0.2014,
      0.1301,
      0.1575,
      0.0842,
      0.0747,
      0.0628,
      0.0382,
      0.1323,
      0.3686,
      0.2651,
      0.1597,
      0.3803,
      0.3364,
      0.4524,
      0.4238,
      0.4093,
      0.6507,
      0.5568,
      0.5465,
      0.4856,
      0.3709,
      0.2225,
      0.4888,
      0.1527,
      0.2358,
      0.2213,
      0.4932,
      0.1476,
      0.5694,
      0.4227,
      0.5243,
      0.317,
      0.2379,
      0.1844,
      0.434,
      0.2375,
      0.4845,
      0.2173,
      0.5413,
      0.5387,
      0.5329,
      0.4244,
      0.6384,
      0.5378,
      0.4875,
      0.2718,
      0.2706,
      0.3963,
      0.3142,
      0.3466,
      0.5495,
      0.4798,
      0.6458,
      0.5878,
      0.6264,
      0.3934,
      0.5402,
      0.3646,
      0.2948,
      0.1892,
      0.3035,
      0.4189,
      0.3722,
      0.3416,
      0.3884,
      0.6322,
      0.5734,
      0.5016,
      0.5149,
      0.2543,
      0.4824,
      0.381,
      0.203,
      0.3143,
      0.2684,
      0.4677,
      0.4009,
      0.5784,
      0.2021,
      0.4693,
      0.3785,
      0.4098,
      0.2308,
      0.3004,
      0.4194,
      0.4611,
      0.5782,
      0.4953,
      0.5002,
      0.5179,
      0.4376,
      0.6368,
      0.4515,
      0.5257,
      0.5043,
      0.2855,
      0.5743,
      0.3889,
      0.373,
      0.5784,
      0.5455,
      0.6289,
      0.613,
      0.6453,
      0.4776,
      0.5126,
      0.2683,
      0.3547,
      0.1255,
      0.2763,
      0.4138,
      0.4361,
      0.3835,
      0.3299,
      0.5804,
      0.5515,
      0.5127,
      0.4935,
      0.4204,
      0.3819,
      0.4507,
      0.4809,
      0.2301,
      0.2913,
      0.4823,
      0.1317,
      0.5487,
      0.6236,
      0.5828,
      0.2943,
      0.3083,
      0.2769,
      0.3628,
      0.3322,
      0.4477,
      0.3167,
      0.5249,
      0.5158,
      0.5579,
      0.3177,
      0.6542,
      0.5028,
      0.5886,
      0.4044,
      0.2702,
      0.2004,
      0.367,
      0.3697,
      0.58,
      0.4373,
      0.6532,
      0.5714,
      0.6225,
      0.3805,
      0.5148,
      0.4869,
      0.2896,
      0.2381,
      0.2456,
      0.44,
      0.4514,
      0.3829,
      0.3327,
      0.5895,
      0.6291,
      0.5533,
      0.4982,
      0.5382,
      0.257,
      0.2325,
      0.2751,
      0.3635,
      0.3237,
      0.4794,
      0.4232,
      0.5542,
      0.2408,
      0.5839,
      0.3753,
      0.4281,
      0.1231,
      0.3975,
      0.447,
      0.5299,
      0.547,
      0.5168,
      0.365,
      0.5857,
      0.4306,
      0.6425,
      0.4993,
      0.4586,
      0.5182,
      0.3309,
      0.5862,
      0.2663,
      0.4207,
      0.5825,
      0.5107,
      0.6133,
      0.5864,
      0.6307,
      0.6075,
      0.5174,
      0.2995,
      0.0711,
      0.1728,
      0.1791,
      0.2887,
      0.1473,
      0.4079,
      0.2889,
      0.2278,
      0.3263,
      0.312,
      0.3848,
      0.2423,
      0.3599,
      0.307,
      0.5696,
      0.4562,
      0.2958,
      0.4992,
      0.2422,
      0.5914,
      0.3005,
      0.5824,
      0.3175,
      0.321,
      0.1769,
      0.2635,
      0.3589,
      0.3878,
      0.377,
      0.5399,
      0.445,
      0.6098,
      0.3476,
      0.6514,
      0.4821,
      0.4597,
      0.5085,
      0.3247,
      0.5907,
      0.3206,
      0.423,
      0.442,
      0.5092,
      0.6184,
      0.591,
      0.6473,
      0.5785,
      0.4708,
      0.3851,
      0.2865,
      0.5075,
      0.447,
      0.3945,
      0.324,
      0.4241,
      0.3848,
      0.6118,
      0.5625,
      0.5778,
      0.4275,
      0.5756,
      0.0903,
      0.4672,
      0.5663,
      0.3931,
      0.1579,
      0.1894,
      0.1128,
      0.1391,
      0.1319,
      0.2025,
      0.2006,
      0.2279,
      0.1751,
      0.1485,
      0.2303,
      0.3713,
      0.2108,
      0.4764,
      0.1052,
      0.5161,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1418,
      0.0946,
      0.1349,
      0.1435,
      0.1197,
      0.0359,
      0.0255,
      0.0479,
      0.1578,
      0.1013,
      0.0888,
      0.1628,
      0.0708,
      0.079,
      0.122,
      0.1575,
      0.3999,
      0.1683,
      0.2323,
      0.3169,
      0.2647,
      0.4515,
      0.4067,
      0.3274,
      0.562,
      0.4735,
      0.4902,
      0.4257,
      0.3811,
      0.113,
      0.3711,
      0.1089,
      0.1135,
      0.2384,
      0.4438,
      0.2271,
      0.4668,
      0.4976,
      0.3921,
      0.3425,
      0.2848,
      0.2379,
      0.4203,
      0.2154,
      0.4356,
      0.2951,
      0.4588,
      0.4409,
      0.4774,
      0.4299,
      0.566,
      0.4927,
      0.5243,
      0.3289,
      0.2188,
      0.4279,
      0.2988,
      0.3084,
      0.4682,
      0.3475,
      0.5257,
      0.4508,
      0.5108,
      0.3571,
      0.4404,
      0.3153,
      0.2813,
      0.1727,
      0.1517,
      0.4479,
      0.4201,
      0.3637,
      0.3864,
      0.5314,
      0.4402,
      0.4617,
      0.4125,
      0.2793,
      0.4731,
      0.2677,
      0.2307,
      0.2975,
      0.3584,
      0.4011,
      0.3832,
      0.4749,
      0.3051,
      0.4749,
      0.3579,
      0.4061,
      0.2682,
      0.3564,
      0.4142,
      0.493,
      0.5443,
      0.5123,
      0.4973,
      0.4927,
      0.3647,
      0.5871,
      0.5027,
      0.5073,
      0.4977,
      0.2008,
      0.6095,
      0.3613,
      0.3959,
      0.4762,
      0.446,
      0.5153,
      0.5039,
      0.559,
      0.363,
      0.4311,
      0.2597,
      0.2636,
      0.1046,
      0.1981,
      0.4036,
      0.4255,
      0.3571,
      0.2597,
      0.5553,
      0.4738,
      0.4625,
      0.3952,
      0.4168,
      0.4335,
      0.4364,
      0.4602,
      0.1886,
      0.2508,
      0.4509,
      0.0919,
      0.5214,
      0.598,
      0.4813,
      0.292,
      0.2768,
      0.3347,
      0.4213,
      0.2665,
      0.4265,
      0.3123,
      0.4482,
      0.4628,
      0.5727,
      0.2451,
      0.5695,
      0.4691,
      0.5622,
      0.4262,
      0.2583,
      0.156,
      0.3189,
      0.3661,
      0.4573,
      0.3292,
      0.6083,
      0.5118,
      0.5089,
      0.4643,
      0.4318,
      0.3804,
      0.2926,
      0.3083,
      0.2292,
      0.3971,
      0.43,
      0.4235,
      0.267,
      0.5785,
      0.5469,
      0.4681,
      0.4378,
      0.5386,
      0.2889,
      0.1962,
      0.3594,
      0.327,
      0.2959,
      0.4279,
      0.368,
      0.4675,
      0.2912,
      0.4729,
      0.3003,
      0.3546,
      0.2221,
      0.355,
      0.4352,
      0.5258,
      0.5765,
      0.5216,
      0.4558,
      0.5345,
      0.3661,
      0.5628,
      0.489,
      0.4826,
      0.5044,
      0.3739,
      0.6063,
      0.3322,
      0.4162,
      0.4666,
      0.4486,
      0.5472,
      0.5295,
      0.5421,
      0.491,
      0.3898,
      0.3417,
      0.0707,
      0.111,
      0.22,
      0.3422,
      0.1866,
      0.4776,
      0.2675,
      0.1966,
      0.249,
      0.3467,
      0.4529,
      0.1829,
      0.3826,
      0.3003,
      0.5367,
      0.3332,
      0.2822,
      0.451,
      0.2193,
      0.5147,
      0.2913,
      0.4675,
      0.3518,
      0.3262,
      0.2868,
      0.3518,
      0.3311,
      0.4192,
      0.3036,
      0.4954,
      0.4413,
      0.5454,
      0.2858,
      0.5785,
      0.5007,
      0.4901,
      0.5106,
      0.3461,
      0.6037,
      0.2762,
      0.4334,
      0.4213,
      0.4357,
      0.5198,
      0.5176,
      0.5867,
      0.4678,
      0.4144,
      0.3749,
      0.2725,
      0.4677,
      0.449,
      0.3781,
      0.2961,
      0.4012,
      0.3656,
      0.4771,
      0.5108,
      0.6009,
      0.4583,
      0.5221,
      0.1447,
      0.4788,
      0.5109,
      0.3693,
      0.1162,
      0.1103,
      0.0681,
      0.1827,
      0.1794,
      0.1164,
      0.2274,
      0.1676,
      0.2459,
      0.2012,
      0.2845,
      0.3032,
      0.0957,
      0.4122,
      0.1342,
      0.4564,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1324,
      0.1192,
      0.1411,
      0.0935,
      0.1297,
      0.0654,
      0,
      0.0556,
      0.1235,
      0.0772,
      0.1497,
      0.1817,
      0.0862,
      0.0671,
      0.2043,
      0.1231,
      0.4153,
      0.1535,
      0.2661,
      0.291,
      0.2594,
      0.4753,
      0.4602,
      0.393,
      0.5552,
      0.4376,
      0.482,
      0.3649,
      0.4473,
      0.2242,
      0.2265,
      0.116,
      0.1809,
      0.1824,
      0.3288,
      0.2376,
      0.3941,
      0.4209,
      0.271,
      0.3473,
      0.3401,
      0.1916,
      0.3144,
      0.1556,
      0.478,
      0.2242,
      0.4961,
      0.3714,
      0.442,
      0.3778,
      0.5203,
      0.4944,
      0.5479,
      0.3806,
      0.154,
      0.4408,
      0.2933,
      0.3922,
      0.3645,
      0.3564,
      0.531,
      0.4928,
      0.4952,
      0.3214,
      0.4841,
      0.3587,
      0.1379,
      0.2114,
      0.2354,
      0.4101,
      0.3454,
      0.2314,
      0.3439,
      0.4952,
      0.4639,
      0.4162,
      0.403,
      0.3821,
      0.5323,
      0.3186,
      0.2028,
      0.2881,
      0.2628,
      0.4049,
      0.3615,
      0.4422,
      0.2739,
      0.4464,
      0.3733,
      0.4023,
      0.2897,
      0.3589,
      0.4535,
      0.4316,
      0.5158,
      0.5621,
      0.5014,
      0.5108,
      0.3252,
      0.5051,
      0.4876,
      0.446,
      0.4681,
      0.3071,
      0.5739,
      0.3871,
      0.3752,
      0.4439,
      0.4792,
      0.4425,
      0.4348,
      0.526,
      0.4185,
      0.4628,
      0.3209,
      0.2662,
      0.1038,
      0.1989,
      0.4074,
      0.3136,
      0.2847,
      0.288,
      0.5723,
      0.4787,
      0.4887,
      0.3619,
      0.385,
      0.4764,
      0.4955,
      0.4055,
      0.1244,
      0.2496,
      0.3983,
      0.1934,
      0.4109,
      0.5275,
      0.475,
      0.3586,
      0.2623,
      0.3142,
      0.3978,
      0.2272,
      0.4708,
      0.271,
      0.4648,
      0.4067,
      0.5394,
      0.2438,
      0.5856,
      0.4077,
      0.4688,
      0.4652,
      0.1847,
      0.2406,
      0.3099,
      0.3481,
      0.476,
      0.3243,
      0.5288,
      0.4716,
      0.4839,
      0.4771,
      0.459,
      0.3526,
      0.3727,
      0.2568,
      0.2224,
      0.4022,
      0.315,
      0.3711,
      0.264,
      0.5224,
      0.5245,
      0.5494,
      0.4533,
      0.509,
      0.2653,
      0.1299,
      0.364,
      0.277,
      0.2596,
      0.393,
      0.3718,
      0.3916,
      0.2847,
      0.468,
      0.3309,
      0.3906,
      0.188,
      0.3892,
      0.4281,
      0.4677,
      0.5328,
      0.5338,
      0.4093,
      0.474,
      0.3034,
      0.527,
      0.5322,
      0.4935,
      0.4655,
      0.3395,
      0.568,
      0.3373,
      0.396,
      0.4426,
      0.4799,
      0.4644,
      0.4418,
      0.4768,
      0.4881,
      0.4423,
      0.3283,
      0.0711,
      0.0461,
      0.282,
      0.2286,
      0.1997,
      0.3553,
      0.3055,
      0.1488,
      0.2529,
      0.4487,
      0.3871,
      0.2842,
      0.4009,
      0.2733,
      0.503,
      0.3007,
      0.2288,
      0.384,
      0.251,
      0.4117,
      0.3189,
      0.4376,
      0.3734,
      0.3241,
      0.2088,
      0.3064,
      0.3415,
      0.504,
      0.2936,
      0.4784,
      0.3959,
      0.5473,
      0.2623,
      0.5322,
      0.5164,
      0.4827,
      0.4845,
      0.3423,
      0.6123,
      0.3251,
      0.3453,
      0.2499,
      0.4638,
      0.487,
      0.4808,
      0.5366,
      0.4306,
      0.4312,
      0.3353,
      0.3263,
      0.4799,
      0.452,
      0.3395,
      0.3235,
      0.3879,
      0.3167,
      0.5367,
      0.4443,
      0.5787,
      0.4785,
      0.5182,
      0.1087,
      0.4411,
      0.5113,
      0.2931,
      0.1873,
      0.2025,
      0.1448,
      0.1678,
      0.0814,
      0.2329,
      0.2627,
      0.172,
      0.2005,
      0.1246,
      0.246,
      0.2967,
      0.1564,
      0.4892,
      0.1118,
      0.4558,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1594,
      0.2099,
      0.2004,
      0.135,
      0.182,
      0.1343,
      0.1278,
      0.0065,
      0.1902,
      0.0825,
      0.1895,
      0.1466,
      0.1287,
      0.0268,
      0.1244,
      0.1109,
      0.3767,
      0.2575,
      0.284,
      0.4192,
      0.298,
      0.4852,
      0.493,
      0.4177,
      0.5761,
      0.5702,
      0.5203,
      0.4771,
      0.4126,
      0.2979,
      0.3166,
      0.2217,
      0.15,
      0.2658,
      0.3529,
      0.197,
      0.4556,
      0.3621,
      0.4443,
      0.3187,
      0.2965,
      0.2504,
      0.3673,
      0.3362,
      0.4773,
      0.3261,
      0.5658,
      0.5155,
      0.5109,
      0.4453,
      0.5894,
      0.5352,
      0.4764,
      0.3043,
      0.2838,
      0.402,
      0.2629,
      0.3378,
      0.2932,
      0.3047,
      0.5072,
      0.5004,
      0.5264,
      0.3704,
      0.5341,
      0.3759,
      0.2481,
      0.2876,
      0.3117,
      0.4463,
      0.4493,
      0.3837,
      0.4297,
      0.5892,
      0.5869,
      0.4341,
      0.4623,
      0.3794,
      0.4824,
      0.3552,
      0.1183,
      0.3341,
      0.2672,
      0.3474,
      0.4004,
      0.4222,
      0.2487,
      0.4341,
      0.4298,
      0.3357,
      0.3183,
      0.4236,
      0.4503,
      0.455,
      0.4951,
      0.5975,
      0.5308,
      0.556,
      0.4394,
      0.5853,
      0.513,
      0.4802,
      0.4483,
      0.3277,
      0.6268,
      0.35,
      0.3873,
      0.3666,
      0.4598,
      0.4065,
      0.4707,
      0.5648,
      0.4807,
      0.5224,
      0.3904,
      0.2547,
      0.2216,
      0.2553,
      0.4309,
      0.4751,
      0.417,
      0.4087,
      0.6063,
      0.5891,
      0.4218,
      0.4711,
      0.3698,
      0.4574,
      0.4453,
      0.4325,
      0.1919,
      0.33,
      0.3774,
      0.1899,
      0.4453,
      0.4677,
      0.4447,
      0.3491,
      0.2532,
      0.2248,
      0.4728,
      0.3115,
      0.4568,
      0.2755,
      0.6001,
      0.5832,
      0.6186,
      0.4205,
      0.6339,
      0.4153,
      0.5402,
      0.378,
      0.1779,
      0.1701,
      0.295,
      0.3576,
      0.3757,
      0.3143,
      0.5984,
      0.4791,
      0.5602,
      0.4447,
      0.4971,
      0.4495,
      0.4451,
      0.3169,
      0.2433,
      0.3944,
      0.4896,
      0.4277,
      0.4134,
      0.6434,
      0.6134,
      0.5306,
      0.565,
      0.5521,
      0.3082,
      0.2131,
      0.3825,
      0.345,
      0.2054,
      0.3955,
      0.4484,
      0.4701,
      0.2316,
      0.5151,
      0.3995,
      0.4521,
      0.2423,
      0.4027,
      0.4004,
      0.4139,
      0.5276,
      0.5898,
      0.502,
      0.5905,
      0.4108,
      0.6065,
      0.5337,
      0.521,
      0.4278,
      0.3113,
      0.583,
      0.3088,
      0.44,
      0.3918,
      0.4763,
      0.4654,
      0.4705,
      0.5507,
      0.5252,
      0.4808,
      0.3293,
      0.1355,
      0.2075,
      0.2574,
      0.2644,
      0.1964,
      0.3756,
      0.3563,
      0.1535,
      0.2852,
      0.3577,
      0.3621,
      0.3035,
      0.3783,
      0.3733,
      0.5486,
      0.2895,
      0.2551,
      0.3986,
      0.2551,
      0.4838,
      0.2553,
      0.4768,
      0.3845,
      0.3603,
      0.2298,
      0.3242,
      0.4652,
      0.5213,
      0.346,
      0.5842,
      0.542,
      0.6057,
      0.3892,
      0.5814,
      0.539,
      0.5151,
      0.4711,
      0.3365,
      0.5993,
      0.3672,
      0.4281,
      0.3757,
      0.4639,
      0.5159,
      0.5019,
      0.5904,
      0.484,
      0.4826,
      0.4179,
      0.3881,
      0.4249,
      0.342,
      0.429,
      0.4142,
      0.405,
      0.5175,
      0.5833,
      0.5712,
      0.5745,
      0.4913,
      0.5376,
      0.1877,
      0.3969,
      0.4512,
      0.278,
      0.2067,
      0.1761,
      0.1283,
      0.1846,
      0.143,
      0.216,
      0.2074,
      0.1942,
      0.1783,
      0.1775,
      0.2144,
      0.3699,
      0.2093,
      0.4989,
      0.1578,
      0.4689,
      0.0335,
      0,
      0,
      0,
      0,
      0,
      0.2707,
      0.1706,
      0.1191,
      0.2021,
      0.1498,
      0.1636,
      0.142,
      0.0158,
      0.2266,
      0.0706,
      0.1197,
      0.0697,
      0.0396,
      0.0727,
      0.0769,
      0.087,
      0.3647,
      0.4203,
      0.359,
      0.3924,
      0.3447,
      0.4099,
      0.5037,
      0.4204,
      0.5918,
      0.5907,
      0.5624,
      0.4893,
      0.3969,
      0.2459,
      0.2976,
      0.2289,
      0.2079,
      0.281,
      0.4933,
      0.1844,
      0.5949,
      0.4422,
      0.5319,
      0.3889,
      0.313,
      0.2309,
      0.3973,
      0.2965,
      0.4664,
      0.2999,
      0.4176,
      0.5664,
      0.5538,
      0.434,
      0.6302,
      0.5188,
      0.5915,
      0.3566,
      0.216,
      0.4216,
      0.2777,
      0.3781,
      0.4982,
      0.489,
      0.6377,
      0.6251,
      0.6379,
      0.4493,
      0.5548,
      0.359,
      0.3445,
      0.4209,
      0.3356,
      0.4376,
      0.4558,
      0.3605,
      0.3975,
      0.5646,
      0.5752,
      0.4729,
      0.4918,
      0.3197,
      0.4536,
      0.3232,
      0.1648,
      0.337,
      0.3034,
      0.5008,
      0.3692,
      0.5588,
      0.2123,
      0.5452,
      0.416,
      0.3509,
      0.2466,
      0.4372,
      0.4407,
      0.4296,
      0.4348,
      0.5885,
      0.5389,
      0.5787,
      0.4313,
      0.6363,
      0.4646,
      0.4538,
      0.5148,
      0.272,
      0.4918,
      0.4244,
      0.4404,
      0.4954,
      0.5235,
      0.6129,
      0.5898,
      0.6484,
      0.539,
      0.5362,
      0.3657,
      0.3048,
      0.2587,
      0.2225,
      0.4461,
      0.4179,
      0.3732,
      0.3742,
      0.5953,
      0.5568,
      0.4802,
      0.4701,
      0.3195,
      0.5273,
      0.4355,
      0.4687,
      0.2338,
      0.2581,
      0.5407,
      0.2113,
      0.5992,
      0.5104,
      0.5885,
      0.4196,
      0.3153,
      0.3218,
      0.4695,
      0.2398,
      0.4328,
      0.3318,
      0.4538,
      0.5679,
      0.5881,
      0.3611,
      0.6377,
      0.4538,
      0.5776,
      0.3163,
      0.2719,
      0.2376,
      0.3332,
      0.412,
      0.5191,
      0.3858,
      0.6746,
      0.6305,
      0.6266,
      0.453,
      0.4998,
      0.4554,
      0.1726,
      0.3248,
      0.3972,
      0.3853,
      0.4523,
      0.4134,
      0.3848,
      0.6499,
      0.5923,
      0.5614,
      0.5274,
      0.5054,
      0.3419,
      0.253,
      0.3235,
      0.4132,
      0.2384,
      0.5428,
      0.2891,
      0.5657,
      0.2606,
      0.6111,
      0.3601,
      0.4458,
      0.2014,
      0.4233,
      0.3979,
      0.4506,
      0.4953,
      0.5835,
      0.5017,
      0.5631,
      0.383,
      0.6486,
      0.5075,
      0.4705,
      0.518,
      0.285,
      0.5435,
      0.3622,
      0.4097,
      0.5107,
      0.5007,
      0.6093,
      0.6024,
      0.6456,
      0.5986,
      0.5103,
      0.3551,
      0.207,
      0.228,
      0.2995,
      0.3226,
      0.2686,
      0.4611,
      0.2568,
      0.1909,
      0.3138,
      0.3553,
      0.3334,
      0.2014,
      0.3821,
      0.3684,
      0.5376,
      0.3838,
      0.3515,
      0.5227,
      0.2509,
      0.5844,
      0.3635,
      0.5915,
      0.38,
      0.4171,
      0.2889,
      0.2702,
      0.407,
      0.4775,
      0.307,
      0.419,
      0.4819,
      0.5967,
      0.3916,
      0.6307,
      0.4656,
      0.4734,
      0.5058,
      0.2891,
      0.4239,
      0.3751,
      0.4601,
      0.3231,
      0.4833,
      0.6246,
      0.6132,
      0.6598,
      0.5911,
      0.477,
      0.4625,
      0.3954,
      0.4497,
      0.4227,
      0.4174,
      0.3147,
      0.4085,
      0.433,
      0.5589,
      0.5378,
      0.6443,
      0.4474,
      0.5277,
      0.1977,
      0.4173,
      0.429,
      0.4317,
      0.2019,
      0.1805,
      0.1641,
      0.163,
      0.143,
      0.1796,
      0.2414,
      0.1483,
      0.2051,
      0.186,
      0.1043,
      0.4122,
      0.2023,
      0.4961,
      0.2978,
      0.5203,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1507,
      0.0861,
      0.0241,
      0.0381,
      0.0409,
      0.0205,
      0.0161,
      0,
      0.1688,
      0.0074,
      0.0271,
      0.0788,
      0.0247,
      0.0147,
      0.0912,
      0.0447,
      0.4889,
      0.3542,
      0.1645,
      0.2841,
      0.2746,
      0.351,
      0.3967,
      0.3639,
      0.3692,
      0.4196,
      0.4769,
      0.3138,
      0.4047,
      0.2318,
      0.3199,
      0.1764,
      0.1499,
      0.3222,
      0.4083,
      0.2497,
      0.4518,
      0.4395,
      0.5024,
      0.3173,
      0.3151,
      0.2431,
      0.4079,
      0.2428,
      0.3895,
      0.3283,
      0.4932,
      0.4218,
      0.4676,
      0.3835,
      0.5637,
      0.4799,
      0.5349,
      0.3774,
      0.2308,
      0.3958,
      0.3336,
      0.3488,
      0.5101,
      0.3353,
      0.6187,
      0.49,
      0.5855,
      0.3999,
      0.4796,
      0.2922,
      0.3471,
      0.4017,
      0.3082,
      0.4218,
      0.3008,
      0.2233,
      0.2757,
      0.4223,
      0.4248,
      0.3904,
      0.3378,
      0.4624,
      0.5045,
      0.3073,
      0.1279,
      0.229,
      0.4272,
      0.3673,
      0.3927,
      0.4423,
      0.2846,
      0.468,
      0.3464,
      0.3427,
      0.2808,
      0.3239,
      0.4582,
      0.3744,
      0.4593,
      0.5367,
      0.4554,
      0.4889,
      0.3659,
      0.5292,
      0.435,
      0.4119,
      0.4418,
      0.1663,
      0.5715,
      0.3744,
      0.3046,
      0.5237,
      0.5021,
      0.5507,
      0.4756,
      0.5637,
      0.4273,
      0.4371,
      0.22,
      0.3386,
      0.2807,
      0.2185,
      0.4523,
      0.386,
      0.4415,
      0.2551,
      0.5453,
      0.4534,
      0.4563,
      0.3775,
      0.3531,
      0.5242,
      0.4754,
      0.5344,
      0.1951,
      0.2811,
      0.4368,
      0.1714,
      0.4579,
      0.4347,
      0.4769,
      0.5074,
      0.2935,
      0.3523,
      0.3824,
      0.3321,
      0.4521,
      0.3819,
      0.4565,
      0.3601,
      0.5884,
      0.3705,
      0.5649,
      0.2972,
      0.5442,
      0.4409,
      0.213,
      0.1756,
      0.3537,
      0.3988,
      0.553,
      0.3538,
      0.6018,
      0.4757,
      0.5829,
      0.4505,
      0.4173,
      0.4438,
      0.2522,
      0.2139,
      0.3536,
      0.4069,
      0.3824,
      0.3052,
      0.2339,
      0.4756,
      0.5522,
      0.447,
      0.3475,
      0.5541,
      0.3793,
      0.3084,
      0.2554,
      0.3587,
      0.4182,
      0.4076,
      0.3738,
      0.4546,
      0.3106,
      0.485,
      0.3308,
      0.4031,
      0.1726,
      0.3816,
      0.4322,
      0.3718,
      0.5174,
      0.5481,
      0.4456,
      0.5859,
      0.4066,
      0.5308,
      0.4332,
      0.4651,
      0.4675,
      0.1921,
      0.5476,
      0.4033,
      0.3819,
      0.5553,
      0.4793,
      0.5852,
      0.4656,
      0.5607,
      0.4744,
      0.4257,
      0.3242,
      0.0918,
      0.0386,
      0.2592,
      0.2793,
      0.1219,
      0.4949,
      0.245,
      0.1744,
      0.2761,
      0.3651,
      0.4195,
      0.2534,
      0.3934,
      0.3082,
      0.5672,
      0.3445,
      0.3255,
      0.4253,
      0.1398,
      0.4114,
      0.3373,
      0.4594,
      0.3383,
      0.3827,
      0.3292,
      0.3193,
      0.3534,
      0.3915,
      0.3338,
      0.4468,
      0.4387,
      0.5655,
      0.3383,
      0.5294,
      0.4387,
      0.462,
      0.4371,
      0.2625,
      0.4994,
      0.3784,
      0.3997,
      0.4644,
      0.46,
      0.5681,
      0.395,
      0.5906,
      0.5014,
      0.3879,
      0.4003,
      0.3982,
      0.4653,
      0.4324,
      0.3331,
      0.282,
      0.4273,
      0.4044,
      0.4855,
      0.4032,
      0.5457,
      0.433,
      0.3953,
      0.1298,
      0.416,
      0.4796,
      0.3215,
      0.1674,
      0.1464,
      0.1007,
      0.0995,
      0.2086,
      0.1567,
      0.2968,
      0.1963,
      0.2731,
      0.1787,
      0.2057,
      0.3298,
      0.2438,
      0.4292,
      0.2388,
      0.5374,
      0.0175,
      0,
      0,
      0,
      0,
      0,
      0.0948,
      0.0562,
      0.1755,
      0.0941,
      0.1351,
      0,
      0,
      0.0642,
      0.252,
      0,
      0.0976,
      0.0607,
      0.0534,
      0.0608,
      0.1876,
      0,
      0.3716,
      0.2322,
      0.265,
      0.1533,
      0.1392,
      0.4471,
      0.437,
      0.351,
      0.3782,
      0.4262,
      0.3999,
      0.2895,
      0.3648,
      0.2188,
      0.3049,
      0.1242,
      0.1548,
      0.2312,
      0.354,
      0.2376,
      0.4513,
      0.5119,
      0.4143,
      0.3211,
      0.3053,
      0.1427,
      0.4285,
      0.2518,
      0.4434,
      0.3004,
      0.5501,
      0.3726,
      0.5059,
      0.3789,
      0.5766,
      0.4885,
      0.5345,
      0.3766,
      0.2217,
      0.4642,
      0.2144,
      0.3558,
      0.3335,
      0.4399,
      0.4508,
      0.47,
      0.4629,
      0.3718,
      0.4364,
      0.3751,
      0.2553,
      0.3266,
      0.3151,
      0.4594,
      0.3059,
      0.1879,
      0.3317,
      0.3535,
      0.4416,
      0.4184,
      0.335,
      0.3952,
      0.364,
      0.3484,
      0.2352,
      0.1895,
      0.3399,
      0.3524,
      0.4065,
      0.401,
      0.2358,
      0.3969,
      0.3714,
      0.3002,
      0.2707,
      0.4064,
      0.3805,
      0.3931,
      0.508,
      0.5785,
      0.4464,
      0.5377,
      0.3812,
      0.5416,
      0.4571,
      0.3574,
      0.4787,
      0.1611,
      0.5761,
      0.3801,
      0.3696,
      0.4249,
      0.4707,
      0.3945,
      0.4768,
      0.4995,
      0.4333,
      0.4223,
      0.3631,
      0.4119,
      0.2393,
      0.184,
      0.4535,
      0.3029,
      0.3777,
      0.1991,
      0.4352,
      0.4564,
      0.4062,
      0.3327,
      0.3331,
      0.4714,
      0.3384,
      0.4357,
      0.232,
      0.2801,
      0.4508,
      0.1895,
      0.4049,
      0.5018,
      0.4299,
      0.4821,
      0.2027,
      0.2637,
      0.4338,
      0.2912,
      0.4618,
      0.4111,
      0.4958,
      0.4594,
      0.5274,
      0.2691,
      0.5656,
      0.3395,
      0.4925,
      0.4119,
      0.1968,
      0.2351,
      0.222,
      0.3474,
      0.4217,
      0.361,
      0.616,
      0.357,
      0.543,
      0.4161,
      0.4475,
      0.4308,
      0.2667,
      0.279,
      0.1988,
      0.4223,
      0.3457,
      0.3133,
      0.2432,
      0.5043,
      0.5153,
      0.431,
      0.3714,
      0.5165,
      0.276,
      0.2589,
      0.2286,
      0.3118,
      0.3581,
      0.4241,
      0.3955,
      0.3645,
      0.254,
      0.4924,
      0.3712,
      0.3952,
      0.2068,
      0.389,
      0.3964,
      0.4603,
      0.5373,
      0.5627,
      0.4419,
      0.4374,
      0.3837,
      0.5516,
      0.4447,
      0.4376,
      0.4585,
      0.2853,
      0.5749,
      0.4419,
      0.3815,
      0.4154,
      0.474,
      0.4256,
      0.4341,
      0.522,
      0.477,
      0.4106,
      0.3495,
      0.1159,
      0,
      0.1474,
      0.1914,
      0.2399,
      0.3806,
      0.2411,
      0.2565,
      0.256,
      0.3609,
      0.352,
      0.2955,
      0.4219,
      0.3225,
      0.5622,
      0.2977,
      0.2859,
      0.4158,
      0.1626,
      0.4073,
      0.3518,
      0.4444,
      0.3709,
      0.3815,
      0.2664,
      0.327,
      0.3567,
      0.4691,
      0.3246,
      0.5343,
      0.4456,
      0.4857,
      0.2334,
      0.576,
      0.443,
      0.4405,
      0.4462,
      0.2433,
      0.5219,
      0.4145,
      0.3464,
      0.3991,
      0.4129,
      0.4708,
      0.443,
      0.5227,
      0.3608,
      0.4016,
      0.3566,
      0.3153,
      0.4558,
      0.3739,
      0.271,
      0.2407,
      0.403,
      0.3339,
      0.476,
      0.4133,
      0.5426,
      0.3813,
      0.4138,
      0.1621,
      0.3872,
      0.4485,
      0.3749,
      0.1327,
      0.1815,
      0.1067,
      0.1528,
      0.1515,
      0.1439,
      0.2452,
      0.1564,
      0.2794,
      0.2691,
      0.2916,
      0.2638,
      0.3093,
      0.4778,
      0.0498,
      0.4994,
      0.0064,
      0,
      0,
      0,
      0,
      0,
      0.2388,
      0.1881,
      0.2209,
      0.1995,
      0.1465,
      0.1825,
      0,
      0.1653,
      0.2532,
      0.018,
      0,
      0.0789,
      0.0349,
      0.0207,
      0.1361,
      0,
      0.4063,
      0.2376,
      0.2256,
      0.3077,
      0.2328,
      0.5607,
      0.3055,
      0.4645,
      0.443,
      0.4215,
      0.416,
      0.3059,
      0.3814,
      0.1845,
      0.3536,
      0.035,
      0.1305,
      0.2042,
      0.3097,
      0.22,
      0.4204,
      0.4717,
      0.3975,
      0.3956,
      0.2848,
      0.1723,
      0.465,
      0.2283,
      0.4378,
      0.2154,
      0.5739,
      0.3746,
      0.5624,
      0.3499,
      0.5209,
      0.5447,
      0.5148,
      0.4116,
      0.2132,
      0.4144,
      0.2834,
      0.2648,
      0.2782,
      0.4065,
      0.4581,
      0.4067,
      0.4635,
      0.237,
      0.3895,
      0.3221,
      0.343,
      0.2843,
      0.1865,
      0.4944,
      0.3124,
      0.2871,
      0.3757,
      0.4031,
      0.4508,
      0.4428,
      0.3573,
      0.2748,
      0.4502,
      0.3253,
      0.1509,
      0.2083,
      0.3357,
      0.3544,
      0.4397,
      0.4618,
      0.2211,
      0.3636,
      0.4256,
      0.3745,
      0.2876,
      0.3701,
      0.4427,
      0.4115,
      0.5752,
      0.5488,
      0.466,
      0.5621,
      0.3082,
      0.4476,
      0.4524,
      0.447,
      0.4795,
      0.2549,
      0.6094,
      0.3224,
      0.3948,
      0.362,
      0.438,
      0.4296,
      0.3169,
      0.4652,
      0.3577,
      0.393,
      0.389,
      0.364,
      0.1978,
      0.1785,
      0.4208,
      0.3991,
      0.2818,
      0.2685,
      0.5185,
      0.4093,
      0.3945,
      0.2946,
      0.2575,
      0.3694,
      0.4993,
      0.5055,
      0.1528,
      0.2388,
      0.514,
      0.171,
      0.3827,
      0.5108,
      0.4025,
      0.3878,
      0.2659,
      0.2915,
      0.4387,
      0.2686,
      0.4555,
      0.2854,
      0.4598,
      0.4237,
      0.5459,
      0.2662,
      0.5525,
      0.3525,
      0.5427,
      0.3531,
      0.1372,
      0.1825,
      0.2927,
      0.373,
      0.3746,
      0.3776,
      0.5525,
      0.4369,
      0.469,
      0.4177,
      0.3932,
      0.4487,
      0.3526,
      0.2263,
      0.166,
      0.4204,
      0.4055,
      0.2856,
      0.2788,
      0.5387,
      0.5099,
      0.4282,
      0.3052,
      0.5352,
      0.2998,
      0.1817,
      0.2559,
      0.3422,
      0.2635,
      0.3405,
      0.4148,
      0.4287,
      0.1856,
      0.372,
      0.4141,
      0.3237,
      0.2314,
      0.4251,
      0.4222,
      0.3443,
      0.5262,
      0.5697,
      0.4202,
      0.5362,
      0.3487,
      0.5021,
      0.4449,
      0.4845,
      0.4602,
      0.2705,
      0.5695,
      0.3122,
      0.3864,
      0.3529,
      0.4304,
      0.478,
      0.4468,
      0.4296,
      0.3988,
      0.359,
      0.3747,
      0.2455,
      0.0288,
      0.2073,
      0.2813,
      0.2347,
      0.4162,
      0.2598,
      0.2992,
      0.1756,
      0.3651,
      0.2932,
      0.3841,
      0.4303,
      0.244,
      0.527,
      0.2783,
      0.3001,
      0.3691,
      0.1696,
      0.4412,
      0.3993,
      0.4023,
      0.4076,
      0.3301,
      0.258,
      0.2937,
      0.3337,
      0.4099,
      0.3488,
      0.4945,
      0.4554,
      0.5315,
      0.2699,
      0.4789,
      0.454,
      0.5046,
      0.4179,
      0.2934,
      0.5831,
      0.2796,
      0.3639,
      0.3234,
      0.4541,
      0.4284,
      0.4195,
      0.421,
      0.4375,
      0.3456,
      0.4058,
      0.3222,
      0.4832,
      0.3958,
      0.3631,
      0.3122,
      0.3128,
      0.3563,
      0.4668,
      0.3621,
      0.532,
      0.4468,
      0.4116,
      0.1501,
      0.3772,
      0.4608,
      0.383,
      0.1417,
      0.1619,
      0.1143,
      0.147,
      0.1705,
      0.2647,
      0.2338,
      0.1663,
      0.1658,
      0.2015,
      0.2634,
      0.336,
      0.1833,
      0.5349,
      0.0936,
      0.5528,
      0.0247,
      0,
      0,
      0,
      0,
      0,
      0.2214,
      0.0867,
      0.1924,
      0,
      0.0987,
      0.0524,
      0,
      0.1,
      0.1199,
      0,
      0.0386,
      0.0175,
      0.0829,
      0.0103,
      0.1145,
      0.0469,
      0.4151,
      0.2358,
      0.1712,
      0.2521,
      0.2768,
      0.4744,
      0.3291,
      0.4499,
      0.4844,
      0.4339,
      0.4325,
      0.422,
      0.4414,
      0.378,
      0.3679,
      0.1597,
      0.1681,
      0.2271,
      0.3239,
      0.273,
      0.4331,
      0.4091,
      0.4025,
      0.4142,
      0.2796,
      0.2744,
      0.4792,
      0.3444,
      0.4219,
      0.2146,
      0.5208,
      0.4113,
      0.5903,
      0.427,
      0.5476,
      0.5479,
      0.5488,
      0.3791,
      0.2009,
      0.3906,
      0.2279,
      0.3276,
      0.3413,
      0.3272,
      0.5223,
      0.4578,
      0.5091,
      0.3329,
      0.3952,
      0.433,
      0.2481,
      0.3018,
      0.2122,
      0.4316,
      0.3184,
      0.2136,
      0.4338,
      0.4419,
      0.4611,
      0.4839,
      0.3657,
      0.3879,
      0.49,
      0.3449,
      0.248,
      0.2652,
      0.3206,
      0.3645,
      0.3581,
      0.3877,
      0.3045,
      0.4036,
      0.4301,
      0.2816,
      0.3013,
      0.4231,
      0.4212,
      0.438,
      0.574,
      0.605,
      0.4662,
      0.574,
      0.3906,
      0.5233,
      0.4894,
      0.461,
      0.4241,
      0.2138,
      0.5569,
      0.2612,
      0.4103,
      0.3859,
      0.3499,
      0.4377,
      0.44,
      0.4882,
      0.4718,
      0.378,
      0.43,
      0.3667,
      0.1213,
      0.2535,
      0.3843,
      0.498,
      0.2997,
      0.3094,
      0.522,
      0.468,
      0.4707,
      0.3415,
      0.4157,
      0.4834,
      0.4943,
      0.546,
      0.1503,
      0.1698,
      0.4276,
      0.1279,
      0.3824,
      0.5243,
      0.3828,
      0.2495,
      0.2933,
      0.3202,
      0.4849,
      0.3389,
      0.4739,
      0.3056,
      0.5112,
      0.4539,
      0.5379,
      0.2653,
      0.535,
      0.4107,
      0.4984,
      0.4098,
      0.1365,
      0.1608,
      0.2767,
      0.2746,
      0.4305,
      0.4285,
      0.6493,
      0.4701,
      0.4985,
      0.4618,
      0.4177,
      0.464,
      0.1794,
      0.3946,
      0.2323,
      0.4653,
      0.3828,
      0.1994,
      0.3003,
      0.5693,
      0.4881,
      0.5055,
      0.4081,
      0.561,
      0.3644,
      0.2179,
      0.2594,
      0.3607,
      0.33,
      0.4314,
      0.3938,
      0.3873,
      0.2287,
      0.482,
      0.4272,
      0.3943,
      0.3317,
      0.3956,
      0.4347,
      0.4198,
      0.5083,
      0.5385,
      0.4108,
      0.5164,
      0.3329,
      0.5179,
      0.5094,
      0.4701,
      0.403,
      0.2716,
      0.5804,
      0.2504,
      0.4109,
      0.3987,
      0.4017,
      0.4942,
      0.392,
      0.4579,
      0.5219,
      0.3775,
      0.3985,
      0.1182,
      0.0204,
      0.2269,
      0.377,
      0.2753,
      0.4889,
      0.2055,
      0.1894,
      0.2591,
      0.3117,
      0.3704,
      0.3294,
      0.3235,
      0.2425,
      0.5846,
      0.3032,
      0.2735,
      0.3694,
      0.2206,
      0.4253,
      0.4065,
      0.4595,
      0.4012,
      0.2766,
      0.2443,
      0.4005,
      0.3896,
      0.45,
      0.3618,
      0.5489,
      0.4945,
      0.4989,
      0.302,
      0.5122,
      0.4675,
      0.4709,
      0.3874,
      0.2916,
      0.5993,
      0.3162,
      0.3741,
      0.3639,
      0.3707,
      0.4377,
      0.4336,
      0.4579,
      0.423,
      0.3021,
      0.3404,
      0.352,
      0.4411,
      0.4251,
      0.2819,
      0.2751,
      0.3847,
      0.3776,
      0.4819,
      0.3894,
      0.5763,
      0.4676,
      0.4644,
      0.3633,
      0.3821,
      0.5006,
      0.3683,
      0.2259,
      0.0642,
      0.1666,
      0.1495,
      0.2134,
      0.1993,
      0.2956,
      0.1269,
      0.4059,
      0.3637,
      0.3708,
      0.338,
      0.3407,
      0.4505,
      0.1629,
      0.4528,
      0.1695,
      0,
      0,
      0,
      0,
      0,
      0.1937,
      0.1296,
      0.2065,
      0.0445,
      0.1393,
      0.0352,
      0.028,
      0.1207,
      0.0936,
      0.0488,
      0.0786,
      0.0591,
      0.0931,
      0.1112,
      0.1475,
      0.1316,
      0.3552,
      0.2382,
      0.3305,
      0.2834,
      0.334,
      0.516,
      0.4501,
      0.277,
      0.4946,
      0.369,
      0.3967,
      0.3928,
      0.3777,
      0.1546,
      0.3018,
      0.1076,
      0.16,
      0.2623,
      0.357,
      0.232,
      0.4624,
      0.4811,
      0.4003,
      0.4449,
      0.3047,
      0.1607,
      0.412,
      0.2453,
      0.4263,
      0.2392,
      0.4731,
      0.4105,
      0.5351,
      0.4718,
      0.5244,
      0.4871,
      0.4998,
      0.2787,
      0.2436,
      0.4406,
      0.2507,
      0.3196,
      0.3338,
      0.3427,
      0.4859,
      0.4929,
      0.4817,
      0.3161,
      0.4501,
      0.3976,
      0.2036,
      0.2602,
      0.3119,
      0.5144,
      0.3397,
      0.3106,
      0.3916,
      0.428,
      0.4356,
      0.4412,
      0.4527,
      0.2901,
      0.4639,
      0.2785,
      0.1949,
      0.2536,
      0.3021,
      0.4207,
      0.3651,
      0.4524,
      0.2496,
      0.4415,
      0.3437,
      0.4486,
      0.2911,
      0.4181,
      0.4289,
      0.4686,
      0.634,
      0.5305,
      0.4459,
      0.4831,
      0.3558,
      0.5032,
      0.4367,
      0.4417,
      0.4961,
      0.3526,
      0.4698,
      0.3322,
      0.3915,
      0.355,
      0.3687,
      0.3973,
      0.4217,
      0.4648,
      0.4364,
      0.4213,
      0.4095,
      0.4199,
      0.212,
      0.2485,
      0.4122,
      0.3646,
      0.2585,
      0.2642,
      0.5916,
      0.4116,
      0.4354,
      0.3912,
      0.3666,
      0.4881,
      0.4513,
      0.4584,
      0.2599,
      0.2683,
      0.3925,
      0.1001,
      0.4286,
      0.5628,
      0.4336,
      0.3079,
      0.2552,
      0.2636,
      0.4337,
      0.3053,
      0.4889,
      0.3106,
      0.5045,
      0.4002,
      0.5815,
      0.3468,
      0.5126,
      0.347,
      0.4654,
      0.4279,
      0.1997,
      0.227,
      0.3303,
      0.3556,
      0.4412,
      0.3733,
      0.5841,
      0.4527,
      0.4756,
      0.4322,
      0.399,
      0.4793,
      0.2917,
      0.2567,
      0.2408,
      0.3842,
      0.3888,
      0.3146,
      0.2738,
      0.5712,
      0.5595,
      0.4788,
      0.4834,
      0.559,
      0.2944,
      0.102,
      0.2399,
      0.3659,
      0.3566,
      0.436,
      0.3744,
      0.4542,
      0.2936,
      0.4404,
      0.2915,
      0.453,
      0.2671,
      0.4493,
      0.411,
      0.4612,
      0.5683,
      0.5276,
      0.4266,
      0.5527,
      0.3377,
      0.5323,
      0.4346,
      0.437,
      0.4644,
      0.2845,
      0.456,
      0.2953,
      0.4129,
      0.3738,
      0.4088,
      0.4116,
      0.4887,
      0.4622,
      0.4319,
      0.3846,
      0.3542,
      0.0772,
      0.1303,
      0.2321,
      0.3106,
      0.3179,
      0.5247,
      0.2448,
      0.0224,
      0.2606,
      0.3237,
      0.3692,
      0.251,
      0.4409,
      0.3751,
      0.5695,
      0.3747,
      0.2877,
      0.4272,
      0.3227,
      0.4027,
      0.3488,
      0.4515,
      0.3802,
      0.3519,
      0.249,
      0.3338,
      0.3397,
      0.4073,
      0.3581,
      0.5149,
      0.4504,
      0.5408,
      0.2858,
      0.4595,
      0.3976,
      0.4466,
      0.4269,
      0.3599,
      0.4935,
      0.258,
      0.4161,
      0.3722,
      0.4117,
      0.397,
      0.4545,
      0.4899,
      0.4363,
      0.3923,
      0.2995,
      0.3428,
      0.4644,
      0.3988,
      0.381,
      0.3711,
      0.3343,
      0.3635,
      0.4885,
      0.4027,
      0.5543,
      0.4101,
      0.42,
      0.1715,
      0.452,
      0.5297,
      0.3389,
      0.316,
      0.1662,
      0.2298,
      0.0537,
      0.2237,
      0.2854,
      0.3098,
      0.0898,
      0.2847,
      0.147,
      0.2716,
      0.3348,
      0.2455,
      0.4986,
      0.2196,
      0.4662,
      0.0351,
      0,
      0,
      0,
      0,
      0,
      0.2485,
      0.1359,
      0.191,
      0.1257,
      0.1071,
      0.0709,
      0.1216,
      0.0437,
      0.1078,
      0.0531,
      0.0684,
      0.0547,
      0.13,
      0.1243,
      0.11,
      0.0647,
      0.3412,
      0.3622,
      0.348,
      0.4249,
      0.3247,
      0.4505,
      0.4736,
      0.3515,
      0.6159,
      0.5555,
      0.4163,
      0.4472,
      0.3134,
      0.2725,
      0.2724,
      0.1978,
      0.1241,
      0.2752,
      0.3381,
      0.2077,
      0.5115,
      0.434,
      0.4413,
      0.4446,
      0.2969,
      0.2517,
      0.3903,
      0.2651,
      0.4654,
      0.2533,
      0.5517,
      0.4541,
      0.5052,
      0.3979,
      0.5777,
      0.5213,
      0.458,
      0.3395,
      0.2026,
      0.3539,
      0.2961,
      0.315,
      0.3984,
      0.4105,
      0.5256,
      0.5181,
      0.5717,
      0.3802,
      0.4494,
      0.422,
      0.3503,
      0.231,
      0.2354,
      0.4982,
      0.3978,
      0.3721,
      0.3742,
      0.5773,
      0.5359,
      0.4046,
      0.3954,
      0.2759,
      0.4398,
      0.3705,
      0.3087,
      0.2706,
      0.3867,
      0.3964,
      0.4302,
      0.4572,
      0.2644,
      0.3803,
      0.4656,
      0.3909,
      0.3068,
      0.2928,
      0.3943,
      0.4836,
      0.6407,
      0.5304,
      0.5227,
      0.5574,
      0.3553,
      0.5788,
      0.3752,
      0.393,
      0.488,
      0.2612,
      0.5805,
      0.3241,
      0.4234,
      0.4182,
      0.4877,
      0.5186,
      0.5037,
      0.5397,
      0.4482,
      0.4549,
      0.3619,
      0.4171,
      0.2846,
      0.2962,
      0.3743,
      0.4076,
      0.3502,
      0.321,
      0.6128,
      0.5267,
      0.4231,
      0.4378,
      0.3345,
      0.4033,
      0.3982,
      0.46,
      0.2368,
      0.3388,
      0.416,
      0.1667,
      0.4576,
      0.5554,
      0.477,
      0.3725,
      0.2711,
      0.295,
      0.4594,
      0.2986,
      0.5036,
      0.3292,
      0.5227,
      0.5306,
      0.5042,
      0.3336,
      0.5709,
      0.4486,
      0.5585,
      0.3479,
      0.2288,
      0.2159,
      0.3793,
      0.3643,
      0.4459,
      0.3078,
      0.6566,
      0.5313,
      0.5413,
      0.4084,
      0.4792,
      0.4089,
      0.4321,
      0.3071,
      0.2879,
      0.4089,
      0.4007,
      0.3659,
      0.3865,
      0.5773,
      0.5752,
      0.5205,
      0.6131,
      0.5351,
      0.3063,
      0.1995,
      0.2323,
      0.347,
      0.4009,
      0.4187,
      0.4151,
      0.4883,
      0.3029,
      0.4656,
      0.4341,
      0.3742,
      0.2977,
      0.2875,
      0.3487,
      0.4684,
      0.5704,
      0.5106,
      0.3941,
      0.5349,
      0.3391,
      0.6074,
      0.4418,
      0.4365,
      0.4581,
      0.2321,
      0.5702,
      0.3009,
      0.3478,
      0.4284,
      0.4439,
      0.4771,
      0.53,
      0.5259,
      0.4874,
      0.4526,
      0.2521,
      0.1328,
      0.1437,
      0.197,
      0.2884,
      0.2691,
      0.3673,
      0.2072,
      0.139,
      0.3237,
      0.2479,
      0.3898,
      0.3324,
      0.4104,
      0.3525,
      0.5535,
      0.3053,
      0.3508,
      0.4135,
      0.299,
      0.5333,
      0.402,
      0.5306,
      0.3697,
      0.3656,
      0.2514,
      0.3672,
      0.3458,
      0.4757,
      0.3376,
      0.5011,
      0.5187,
      0.5302,
      0.3389,
      0.5652,
      0.3886,
      0.4426,
      0.4299,
      0.2666,
      0.542,
      0.2978,
      0.3928,
      0.4231,
      0.3986,
      0.5371,
      0.5198,
      0.563,
      0.4771,
      0.4025,
      0.3646,
      0.3851,
      0.3931,
      0.4239,
      0.3619,
      0.3195,
      0.3687,
      0.4423,
      0.6049,
      0.5304,
      0.5943,
      0.3709,
      0.3826,
      0.1442,
      0.4043,
      0.501,
      0.3004,
      0.3248,
      0.144,
      0.2762,
      0.1284,
      0.2772,
      0.2892,
      0.3145,
      0.1458,
      0.2471,
      0.2097,
      0.2714,
      0.3421,
      0.3163,
      0.471,
      0.2058,
      0.472,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2942,
      0.1386,
      0.2148,
      0.1542,
      0.2033,
      0.1237,
      0.1525,
      0.1108,
      0.1002,
      0,
      0.0291,
      0.0169,
      0,
      0.0014,
      0.0893,
      0.0557,
      0.3285,
      0.477,
      0.4882,
      0.4105,
      0.2793,
      0.396,
      0.4629,
      0.3865,
      0.62,
      0.5598,
      0.469,
      0.4602,
      0.3903,
      0.2015,
      0.2534,
      0.2926,
      0.1517,
      0.3973,
      0.3572,
      0.2747,
      0.518,
      0.4819,
      0.4802,
      0.3732,
      0.2781,
      0.2228,
      0.3437,
      0.2195,
      0.4547,
      0.2394,
      0.4867,
      0.4901,
      0.5896,
      0.2641,
      0.6103,
      0.5457,
      0.514,
      0.3964,
      0.2406,
      0.3255,
      0.3061,
      0.2779,
      0.3527,
      0.3545,
      0.5263,
      0.5852,
      0.5286,
      0.4243,
      0.5115,
      0.4602,
      0.3926,
      0.3156,
      0.3527,
      0.5024,
      0.3844,
      0.3415,
      0.343,
      0.6024,
      0.5482,
      0.4663,
      0.4774,
      0.2602,
      0.4774,
      0.4832,
      0.2789,
      0.2762,
      0.4289,
      0.4168,
      0.3655,
      0.4256,
      0.2266,
      0.5083,
      0.3962,
      0.3089,
      0.2415,
      0.3633,
      0.3292,
      0.4237,
      0.6293,
      0.5503,
      0.5109,
      0.5912,
      0.4469,
      0.63,
      0.395,
      0.3772,
      0.4921,
      0.2625,
      0.5126,
      0.3878,
      0.4553,
      0.3185,
      0.4901,
      0.4977,
      0.5284,
      0.5626,
      0.5111,
      0.4966,
      0.3637,
      0.4399,
      0.2666,
      0.3781,
      0.4313,
      0.4287,
      0.4001,
      0.3505,
      0.6116,
      0.4717,
      0.504,
      0.4945,
      0.3544,
      0.3594,
      0.411,
      0.5581,
      0.2098,
      0.2474,
      0.3474,
      0.3167,
      0.4611,
      0.538,
      0.4898,
      0.3806,
      0.302,
      0.3455,
      0.429,
      0.2978,
      0.5123,
      0.3088,
      0.4826,
      0.4676,
      0.5972,
      0.3565,
      0.6236,
      0.4444,
      0.5766,
      0.4176,
      0.1956,
      0.2183,
      0.3591,
      0.337,
      0.4174,
      0.3032,
      0.6386,
      0.4806,
      0.554,
      0.423,
      0.4728,
      0.4488,
      0.2911,
      0.2326,
      0.3503,
      0.4863,
      0.4156,
      0.3562,
      0.3394,
      0.5032,
      0.5732,
      0.5497,
      0.4805,
      0.5609,
      0.3337,
      0.3094,
      0.2822,
      0.4075,
      0.4181,
      0.3906,
      0.3819,
      0.384,
      0.2531,
      0.5093,
      0.3912,
      0.461,
      0.2895,
      0.4238,
      0.3537,
      0.4455,
      0.563,
      0.5757,
      0.4442,
      0.5864,
      0.367,
      0.6242,
      0.401,
      0.3928,
      0.4675,
      0.2529,
      0.468,
      0.3509,
      0.4117,
      0.3931,
      0.4477,
      0.5095,
      0.4692,
      0.5315,
      0.5215,
      0.4426,
      0.3219,
      0.2886,
      0.2303,
      0.255,
      0.2948,
      0.2863,
      0.4448,
      0.2479,
      0.292,
      0.3548,
      0.4105,
      0.3841,
      0.3393,
      0.4678,
      0.3332,
      0.5754,
      0.3515,
      0.2864,
      0.381,
      0.3115,
      0.4387,
      0.4646,
      0.5351,
      0.4441,
      0.4068,
      0.3355,
      0.3668,
      0.4035,
      0.5254,
      0.3634,
      0.4745,
      0.5243,
      0.6199,
      0.3618,
      0.6267,
      0.3773,
      0.3602,
      0.439,
      0.2707,
      0.4717,
      0.3697,
      0.3863,
      0.4634,
      0.4833,
      0.54,
      0.4648,
      0.5683,
      0.5407,
      0.442,
      0.4689,
      0.3999,
      0.4365,
      0.445,
      0.3657,
      0.3627,
      0.4121,
      0.4368,
      0.5778,
      0.5526,
      0.5895,
      0.4215,
      0.457,
      0.194,
      0.3964,
      0.4948,
      0.3857,
      0.2892,
      0.1449,
      0.1928,
      0.1686,
      0.204,
      0.2858,
      0.3168,
      0.0906,
      0.3151,
      0.2263,
      0.2438,
      0.3659,
      0.3111,
      0.5249,
      0.1504,
      0.5127,
      0.0635,
      0,
      0,
      0,
      0,
      0,
      0.2385,
      0.2113,
      0.1595,
      0.0473,
      0.1842,
      0.0572,
      0.1015,
      0.0807,
      0.1156,
      0.1012,
      0.0464,
      0.049,
      0.0847,
      0.0629,
      0.1068,
      0.0848,
      0.4075,
      0.4595,
      0.259,
      0.2945,
      0.2418,
      0.4323,
      0.3983,
      0.3485,
      0.5455,
      0.4538,
      0.4625,
      0.4113,
      0.4556,
      0.1686,
      0.3345,
      0.2541,
      0.2335,
      0.3301,
      0.4502,
      0.2036,
      0.5838,
      0.5121,
      0.527,
      0.3926,
      0.3003,
      0.2028,
      0.3764,
      0.2117,
      0.4003,
      0.2788,
      0.425,
      0.4388,
      0.5497,
      0.4746,
      0.5609,
      0.5533,
      0.4977,
      0.3117,
      0.2542,
      0.4519,
      0.2628,
      0.3797,
      0.3543,
      0.3913,
      0.5054,
      0.5866,
      0.55,
      0.4654,
      0.4948,
      0.4577,
      0.3707,
      0.3556,
      0.3146,
      0.4733,
      0.3754,
      0.3035,
      0.2778,
      0.5715,
      0.4974,
      0.4286,
      0.44,
      0.2873,
      0.4841,
      0.4533,
      0.3094,
      0.2543,
      0.3541,
      0.4381,
      0.4042,
      0.5181,
      0.3069,
      0.5587,
      0.3943,
      0.407,
      0.3081,
      0.4581,
      0.3555,
      0.4432,
      0.6031,
      0.5609,
      0.5028,
      0.5323,
      0.3712,
      0.5814,
      0.3611,
      0.3332,
      0.5291,
      0.2544,
      0.5535,
      0.4612,
      0.5009,
      0.5112,
      0.4826,
      0.4312,
      0.5973,
      0.5632,
      0.5427,
      0.5052,
      0.3645,
      0.4601,
      0.3149,
      0.2998,
      0.4813,
      0.402,
      0.2991,
      0.2125,
      0.602,
      0.4467,
      0.4203,
      0.4098,
      0.3499,
      0.4752,
      0.3668,
      0.5567,
      0.2345,
      0.2663,
      0.4097,
      0.2987,
      0.4966,
      0.4957,
      0.5609,
      0.4036,
      0.3241,
      0.3299,
      0.4211,
      0.393,
      0.4882,
      0.4226,
      0.4506,
      0.4762,
      0.5416,
      0.338,
      0.5878,
      0.4757,
      0.5294,
      0.3702,
      0.0921,
      0.2023,
      0.3652,
      0.3884,
      0.4338,
      0.3931,
      0.5076,
      0.4765,
      0.5614,
      0.4564,
      0.5303,
      0.4628,
      0.1376,
      0.2695,
      0.4048,
      0.4508,
      0.3903,
      0.3346,
      0.2648,
      0.5701,
      0.5598,
      0.5005,
      0.412,
      0.5236,
      0.3654,
      0.2794,
      0.3053,
      0.3365,
      0.3437,
      0.4255,
      0.4093,
      0.5049,
      0.3234,
      0.5899,
      0.3725,
      0.5008,
      0.2994,
      0.3763,
      0.3365,
      0.4957,
      0.5315,
      0.5594,
      0.428,
      0.5276,
      0.4158,
      0.606,
      0.422,
      0.3751,
      0.5087,
      0.214,
      0.5401,
      0.421,
      0.4066,
      0.5315,
      0.5024,
      0.5052,
      0.545,
      0.5676,
      0.5968,
      0.4602,
      0.3734,
      0.0752,
      0.2499,
      0.3369,
      0.3795,
      0.3344,
      0.4949,
      0.2733,
      0.2149,
      0.2934,
      0.3032,
      0.3617,
      0.3047,
      0.4777,
      0.2739,
      0.5151,
      0.3029,
      0.1873,
      0.4001,
      0.198,
      0.5162,
      0.3672,
      0.5864,
      0.4165,
      0.4046,
      0.3055,
      0.369,
      0.2678,
      0.4616,
      0.3719,
      0.4215,
      0.4467,
      0.5478,
      0.3092,
      0.5776,
      0.3794,
      0.3947,
      0.4932,
      0.268,
      0.4759,
      0.4122,
      0.3971,
      0.3865,
      0.5101,
      0.527,
      0.5541,
      0.58,
      0.5716,
      0.4445,
      0.4563,
      0.4072,
      0.4308,
      0.394,
      0.3721,
      0.3225,
      0.4106,
      0.3531,
      0.5437,
      0.5103,
      0.5742,
      0.3939,
      0.4502,
      0.1712,
      0.3653,
      0.5249,
      0.4114,
      0.2417,
      0.1055,
      0.113,
      0.0825,
      0.2112,
      0.2988,
      0.2591,
      0.2317,
      0.249,
      0.2227,
      0.2551,
      0.3381,
      0.2657,
      0.4484,
      0.1353,
      0.405,
      0.0566,
      0,
      0,
      0,
      0,
      0,
      0.1868,
      0.1652,
      0.1648,
      0.055,
      0.0949,
      0.0862,
      0.0702,
      0.1273,
      0.1147,
      0.1703,
      0.0125,
      0.1289,
      0.0993,
      0.1556,
      0.1027,
      0.1706,
      0.3829,
      0.2933,
      0.2378,
      0.3589,
      0.2896,
      0.491,
      0.4418,
      0.3165,
      0.5174,
      0.4312,
      0.4618,
      0.3528,
      0.454,
      0.1734,
      0.3421,
      0.1536,
      0.2319,
      0.2225,
      0.3765,
      0.217,
      0.4733,
      0.4715,
      0.5143,
      0.3978,
      0.309,
      0.1962,
      0.3688,
      0.2579,
      0.4969,
      0.2687,
      0.5508,
      0.4261,
      0.5796,
      0.4141,
      0.6172,
      0.5144,
      0.5541,
      0.3419,
      0.2459,
      0.4055,
      0.3166,
      0.3941,
      0.4447,
      0.3608,
      0.4391,
      0.458,
      0.4937,
      0.4089,
      0.4194,
      0.393,
      0.3532,
      0.3281,
      0.2879,
      0.5279,
      0.3404,
      0.3277,
      0.3396,
      0.4505,
      0.2838,
      0.439,
      0.4164,
      0.3223,
      0.395,
      0.3468,
      0.2231,
      0.247,
      0.294,
      0.4068,
      0.439,
      0.4915,
      0.2754,
      0.5,
      0.3903,
      0.3428,
      0.2849,
      0.4251,
      0.395,
      0.5124,
      0.5984,
      0.4938,
      0.4458,
      0.5738,
      0.3033,
      0.5889,
      0.3663,
      0.3829,
      0.5139,
      0.2062,
      0.517,
      0.3197,
      0.4546,
      0.3856,
      0.4495,
      0.4668,
      0.5222,
      0.4664,
      0.5013,
      0.4108,
      0.411,
      0.3425,
      0.2487,
      0.2147,
      0.4053,
      0.3907,
      0.3167,
      0.2482,
      0.4854,
      0.412,
      0.4567,
      0.3135,
      0.4095,
      0.5388,
      0.4864,
      0.5241,
      0.2128,
      0.2278,
      0.3947,
      0.2368,
      0.4382,
      0.606,
      0.5128,
      0.5422,
      0.3433,
      0.2989,
      0.4097,
      0.4439,
      0.5446,
      0.395,
      0.5131,
      0.3939,
      0.6344,
      0.292,
      0.5938,
      0.3858,
      0.5286,
      0.4237,
      0.1891,
      0.1833,
      0.3418,
      0.3567,
      0.4588,
      0.4286,
      0.5837,
      0.4749,
      0.4942,
      0.4623,
      0.4925,
      0.4166,
      0.2368,
      0.3512,
      0.2295,
      0.4714,
      0.3717,
      0.341,
      0.1968,
      0.4405,
      0.5082,
      0.4439,
      0.3352,
      0.5054,
      0.2556,
      0.2314,
      0.3078,
      0.3373,
      0.294,
      0.4332,
      0.4134,
      0.481,
      0.306,
      0.5256,
      0.3861,
      0.4532,
      0.2728,
      0.4119,
      0.3677,
      0.5262,
      0.4827,
      0.4952,
      0.4435,
      0.592,
      0.3725,
      0.6033,
      0.3933,
      0.3993,
      0.4979,
      0.1881,
      0.4704,
      0.3795,
      0.4476,
      0.4391,
      0.4404,
      0.4597,
      0.4556,
      0.4954,
      0.5266,
      0.4143,
      0.3623,
      0.0939,
      0.2024,
      0.2816,
      0.4073,
      0.3906,
      0.4831,
      0.2428,
      0.1131,
      0.201,
      0.3134,
      0.3037,
      0.3333,
      0.4028,
      0.3007,
      0.5573,
      0.2147,
      0.2483,
      0.3637,
      0.1597,
      0.3611,
      0.376,
      0.5242,
      0.4563,
      0.3716,
      0.2892,
      0.3543,
      0.3519,
      0.5861,
      0.3068,
      0.5302,
      0.4089,
      0.5879,
      0.284,
      0.5948,
      0.43,
      0.421,
      0.4846,
      0.2505,
      0.5068,
      0.325,
      0.4581,
      0.4349,
      0.4671,
      0.4359,
      0.3972,
      0.4647,
      0.5141,
      0.3505,
      0.4563,
      0.4045,
      0.3957,
      0.3481,
      0.3567,
      0.3152,
      0.3487,
      0.3755,
      0.4323,
      0.4673,
      0.4781,
      0.3452,
      0.3888,
      0.1907,
      0.3061,
      0.5539,
      0.3649,
      0.2813,
      0.1134,
      0.1441,
      0.1989,
      0.1982,
      0.3107,
      0.318,
      0.3099,
      0.1703,
      0.2479,
      0.1503,
      0.3984,
      0.3037,
      0.5005,
      0.2177,
      0.4874,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1622,
      0.1257,
      0.1696,
      0.1151,
      0.123,
      0.0666,
      0.0998,
      0.1202,
      0.1685,
      0.0027,
      0.0863,
      0.0818,
      0.0262,
      0.0761,
      0.1652,
      0.1035,
      0.3815,
      0.2782,
      0.2189,
      0.3928,
      0.2687,
      0.5827,
      0.4618,
      0.3994,
      0.5456,
      0.4513,
      0.5031,
      0.3484,
      0.3616,
      0.2137,
      0.4069,
      0.1516,
      0.1837,
      0.2173,
      0.3367,
      0.311,
      0.4731,
      0.4372,
      0.5096,
      0.3629,
      0.2441,
      0.1979,
      0.3811,
      0.1604,
      0.4602,
      0.2958,
      0.6059,
      0.406,
      0.5516,
      0.4604,
      0.5696,
      0.5083,
      0.4731,
      0.3179,
      0.2552,
      0.3623,
      0.2429,
      0.2429,
      0.3477,
      0.3405,
      0.4389,
      0.5355,
      0.4102,
      0.3857,
      0.4181,
      0.3913,
      0.3941,
      0.3052,
      0.3118,
      0.5032,
      0.3404,
      0.3223,
      0.4042,
      0.5,
      0.4526,
      0.4439,
      0.5149,
      0.3369,
      0.5262,
      0.3511,
      0.2516,
      0.2269,
      0.3731,
      0.393,
      0.3021,
      0.4414,
      0.3335,
      0.451,
      0.4298,
      0.3265,
      0.2574,
      0.3772,
      0.3691,
      0.4569,
      0.6109,
      0.4597,
      0.4527,
      0.5243,
      0.3851,
      0.5157,
      0.4124,
      0.3507,
      0.4864,
      0.2379,
      0.5143,
      0.2759,
      0.4327,
      0.3118,
      0.4579,
      0.4512,
      0.4767,
      0.4019,
      0.4287,
      0.282,
      0.3453,
      0.4145,
      0.2022,
      0.1449,
      0.4418,
      0.4585,
      0.3485,
      0.2515,
      0.4559,
      0.4864,
      0.4399,
      0.3655,
      0.4115,
      0.4372,
      0.462,
      0.5333,
      0.1438,
      0.2304,
      0.3385,
      0.2122,
      0.4501,
      0.6274,
      0.4838,
      0.4076,
      0.2753,
      0.2483,
      0.4114,
      0.4191,
      0.4674,
      0.3532,
      0.4661,
      0.3851,
      0.5462,
      0.3506,
      0.5345,
      0.3973,
      0.4996,
      0.4807,
      0.2653,
      0.178,
      0.2859,
      0.3945,
      0.2763,
      0.3413,
      0.5023,
      0.4441,
      0.4794,
      0.4095,
      0.4175,
      0.4154,
      0.2549,
      0.389,
      0.2661,
      0.4541,
      0.3884,
      0.2961,
      0.2229,
      0.513,
      0.5821,
      0.4855,
      0.4119,
      0.5408,
      0.341,
      0.0925,
      0.3078,
      0.375,
      0.2567,
      0.3704,
      0.3727,
      0.4501,
      0.3025,
      0.5257,
      0.383,
      0.377,
      0.2962,
      0.3714,
      0.3871,
      0.4529,
      0.5055,
      0.4744,
      0.3917,
      0.5621,
      0.3429,
      0.5311,
      0.369,
      0.3943,
      0.4593,
      0.2025,
      0.4465,
      0.2664,
      0.4218,
      0.364,
      0.4162,
      0.4101,
      0.4121,
      0.4281,
      0.5039,
      0.2858,
      0.3516,
      0.0852,
      0.1613,
      0.2248,
      0.2798,
      0.3967,
      0.3764,
      0.2498,
      0.1755,
      0.2231,
      0.3279,
      0.3621,
      0.2727,
      0.4373,
      0.3561,
      0.5734,
      0.3645,
      0.3144,
      0.3148,
      0.1605,
      0.3872,
      0.378,
      0.5033,
      0.3651,
      0.39,
      0.2662,
      0.307,
      0.2517,
      0.5506,
      0.4212,
      0.506,
      0.3165,
      0.5401,
      0.2905,
      0.5485,
      0.4034,
      0.3793,
      0.4483,
      0.2537,
      0.5295,
      0.3604,
      0.4264,
      0.3461,
      0.4222,
      0.4016,
      0.4211,
      0.465,
      0.4511,
      0.2979,
      0.3794,
      0.3676,
      0.3852,
      0.3494,
      0.3767,
      0.2339,
      0.4332,
      0.3177,
      0.4891,
      0.4659,
      0.5262,
      0.4086,
      0.3799,
      0.1891,
      0.3642,
      0.5952,
      0.3837,
      0.2244,
      0.1457,
      0.0356,
      0.1387,
      0.1959,
      0.2919,
      0.3026,
      0.2323,
      0.237,
      0.1832,
      0.1269,
      0.328,
      0.2928,
      0.4842,
      0.1952,
      0.4912,
      0.0151,
      0,
      0,
      0,
      0,
      0,
      0.1708,
      0.1396,
      0.1304,
      0.0353,
      0.1079,
      0.039,
      0.0565,
      0.0328,
      0.0805,
      0.1667,
      0.2069,
      0.1251,
      0.1761,
      0.2127,
      0.2515,
      0.22,
      0.276,
      0.2887,
      0.2317,
      0.2674,
      0.2012,
      0.5267,
      0.4336,
      0.3442,
      0.5196,
      0.4635,
      0.4489,
      0.3579,
      0.4196,
      0.1827,
      0.4082,
      0.221,
      0.1844,
      0.2211,
      0.3175,
      0.2693,
      0.4728,
      0.4979,
      0.4182,
      0.396,
      0.2212,
      0.1826,
      0.4071,
      0.1611,
      0.4142,
      0.2585,
      0.5843,
      0.4061,
      0.5235,
      0.4182,
      0.5434,
      0.5618,
      0.5298,
      0.3823,
      0.216,
      0.3556,
      0.2563,
      0.2256,
      0.3007,
      0.3485,
      0.4548,
      0.4405,
      0.4039,
      0.3773,
      0.3623,
      0.4197,
      0.3664,
      0.292,
      0.2971,
      0.5209,
      0.3027,
      0.262,
      0.4507,
      0.536,
      0.4731,
      0.4163,
      0.457,
      0.2776,
      0.4893,
      0.322,
      0.2518,
      0.2892,
      0.3974,
      0.386,
      0.4202,
      0.4628,
      0.2888,
      0.4564,
      0.3836,
      0.3738,
      0.2797,
      0.3898,
      0.4108,
      0.4253,
      0.59,
      0.5191,
      0.3445,
      0.5067,
      0.3881,
      0.5537,
      0.4101,
      0.4478,
      0.5156,
      0.2586,
      0.4922,
      0.3116,
      0.4389,
      0.3791,
      0.4528,
      0.4649,
      0.4437,
      0.4208,
      0.4343,
      0.3549,
      0.2643,
      0.3613,
      0.2717,
      0.1815,
      0.5103,
      0.4672,
      0.284,
      0.275,
      0.5094,
      0.4283,
      0.4374,
      0.4606,
      0.4705,
      0.4709,
      0.3851,
      0.547,
      0.101,
      0.1874,
      0.4013,
      0.1475,
      0.4503,
      0.612,
      0.5095,
      0.4015,
      0.2681,
      0.2754,
      0.4565,
      0.3997,
      0.4589,
      0.3439,
      0.5315,
      0.367,
      0.553,
      0.3115,
      0.5818,
      0.3914,
      0.3772,
      0.3681,
      0.2231,
      0.2348,
      0.2366,
      0.2949,
      0.3513,
      0.3766,
      0.5969,
      0.3691,
      0.3847,
      0.4067,
      0.3517,
      0.4288,
      0.2388,
      0.4322,
      0.2453,
      0.4246,
      0.3547,
      0.298,
      0.2397,
      0.4165,
      0.5927,
      0.5078,
      0.3769,
      0.5187,
      0.2465,
      0.1875,
      0.2448,
      0.3405,
      0.2956,
      0.3594,
      0.4303,
      0.4616,
      0.3268,
      0.4821,
      0.369,
      0.3605,
      0.265,
      0.4035,
      0.4162,
      0.4124,
      0.5172,
      0.534,
      0.3581,
      0.5259,
      0.3903,
      0.5112,
      0.3333,
      0.4205,
      0.5029,
      0.1845,
      0.4716,
      0.2884,
      0.3943,
      0.3941,
      0.3928,
      0.4537,
      0.4424,
      0.3918,
      0.4851,
      0.3078,
      0.234,
      0.1363,
      0,
      0.2572,
      0.3057,
      0.3943,
      0.412,
      0.3261,
      0.196,
      0.3054,
      0.3897,
      0.3628,
      0.3672,
      0.4078,
      0.3514,
      0.5755,
      0.2894,
      0.2722,
      0.4023,
      0.2716,
      0.4639,
      0.4341,
      0.5106,
      0.367,
      0.3768,
      0.2487,
      0.2695,
      0.3602,
      0.4517,
      0.3484,
      0.5689,
      0.4992,
      0.5423,
      0.3412,
      0.5402,
      0.4211,
      0.3865,
      0.4734,
      0.282,
      0.4623,
      0.2278,
      0.4116,
      0.3892,
      0.473,
      0.4788,
      0.4227,
      0.465,
      0.4899,
      0.2802,
      0.3734,
      0.3483,
      0.4909,
      0.4126,
      0.3362,
      0.2834,
      0.3058,
      0.3509,
      0.4482,
      0.4275,
      0.5333,
      0.3789,
      0.4338,
      0.1983,
      0.3141,
      0.4692,
      0.3761,
      0.2707,
      0.1562,
      0.064,
      0.0537,
      0.0883,
      0.2798,
      0.3369,
      0.1753,
      0.214,
      0.1594,
      0.2226,
      0.311,
      0.3167,
      0.4996,
      0.228,
      0.4427,
      0.1063,
      0,
      0,
      0,
      0,
      0,
      0.2072,
      0.1061,
      0.1634,
      0.0766,
      0.048,
      0,
      0.0369,
      0.0543,
      0.0814,
      0.204,
      0.2121,
      0.1085,
      0.1831,
      0.221,
      0.1409,
      0.1311,
      0.3961,
      0.2782,
      0.3261,
      0.3572,
      0.2627,
      0.4405,
      0.3692,
      0.3468,
      0.4914,
      0.3841,
      0.3304,
      0.336,
      0.4622,
      0.2134,
      0.2665,
      0.1223,
      0.1282,
      0.2686,
      0.3609,
      0.2241,
      0.5049,
      0.391,
      0.441,
      0.3904,
      0.168,
      0.1911,
      0.267,
      0.2348,
      0.4312,
      0.2323,
      0.5619,
      0.3454,
      0.5185,
      0.4651,
      0.5587,
      0.4339,
      0.487,
      0.3634,
      0.2483,
      0.3413,
      0.1773,
      0.2804,
      0.3537,
      0.3735,
      0.4678,
      0.491,
      0.4013,
      0.3806,
      0.3776,
      0.3812,
      0.2785,
      0.2373,
      0.2916,
      0.4065,
      0.3214,
      0.2739,
      0.338,
      0.4705,
      0.3755,
      0.321,
      0.4543,
      0.2703,
      0.4586,
      0.2949,
      0.2178,
      0.2173,
      0.4118,
      0.3631,
      0.4048,
      0.3839,
      0.2915,
      0.4499,
      0.3949,
      0.3637,
      0.3472,
      0.4018,
      0.4129,
      0.3901,
      0.5327,
      0.4995,
      0.419,
      0.522,
      0.3481,
      0.5448,
      0.4055,
      0.339,
      0.4601,
      0.2676,
      0.5419,
      0.3033,
      0.4586,
      0.3668,
      0.4533,
      0.4433,
      0.537,
      0.4546,
      0.4118,
      0.3116,
      0.3035,
      0.3443,
      0.2141,
      0.2527,
      0.4534,
      0.3627,
      0.2419,
      0.2745,
      0.5206,
      0.3474,
      0.4105,
      0.3576,
      0.5305,
      0.4894,
      0.4652,
      0.4991,
      0.1894,
      0.267,
      0.3996,
      0.1777,
      0.4459,
      0.6465,
      0.4908,
      0.4205,
      0.2088,
      0.2688,
      0.4991,
      0.3518,
      0.4581,
      0.3182,
      0.5059,
      0.3858,
      0.5216,
      0.2476,
      0.5694,
      0.3412,
      0.5083,
      0.3185,
      0.2388,
      0.301,
      0.2705,
      0.3379,
      0.3733,
      0.2971,
      0.6633,
      0.5203,
      0.4278,
      0.4217,
      0.3983,
      0.4454,
      0.2318,
      0.2418,
      0.312,
      0.4918,
      0.2791,
      0.3605,
      0.1615,
      0.4591,
      0.631,
      0.4103,
      0.4119,
      0.5301,
      0.3284,
      0.2077,
      0.1888,
      0.3148,
      0.3694,
      0.3954,
      0.401,
      0.4868,
      0.326,
      0.4926,
      0.3818,
      0.4228,
      0.2843,
      0.4198,
      0.4395,
      0.4424,
      0.4777,
      0.4745,
      0.4009,
      0.4971,
      0.2568,
      0.5481,
      0.3822,
      0.421,
      0.4649,
      0.2841,
      0.5345,
      0.3789,
      0.4844,
      0.4325,
      0.4563,
      0.3963,
      0.5115,
      0.3481,
      0.5002,
      0.2868,
      0.2971,
      0.0382,
      0.079,
      0.3218,
      0.3149,
      0.3427,
      0.4393,
      0.345,
      0.3139,
      0.3046,
      0.3601,
      0.2695,
      0.3955,
      0.4888,
      0.2883,
      0.609,
      0.2686,
      0.1636,
      0.4259,
      0.2895,
      0.4928,
      0.388,
      0.5422,
      0.4005,
      0.3607,
      0.3195,
      0.2761,
      0.3858,
      0.4717,
      0.3368,
      0.4766,
      0.4504,
      0.4948,
      0.3011,
      0.5611,
      0.3946,
      0.4285,
      0.4594,
      0.2394,
      0.5481,
      0.3393,
      0.3694,
      0.3165,
      0.441,
      0.3894,
      0.5165,
      0.4484,
      0.5072,
      0.3157,
      0.3843,
      0.3458,
      0.4748,
      0.4612,
      0.4259,
      0.2417,
      0.3467,
      0.3541,
      0.4802,
      0.3924,
      0.4971,
      0.3347,
      0.3976,
      0.2096,
      0.365,
      0.3925,
      0.3722,
      0.308,
      0.1632,
      0.1028,
      0.1159,
      0.2135,
      0.2856,
      0.315,
      0.1589,
      0.2213,
      0.1599,
      0.1184,
      0.2927,
      0.222,
      0.5074,
      0.2675,
      0.4605,
      0.1275,
      0,
      0,
      0,
      0,
      0,
      0.0626,
      0.1685,
      0.1235,
      0.1188,
      0.1226,
      0.0904,
      0.0881,
      0,
      0.0624,
      0.2392,
      0.1566,
      0.1757,
      0.1789,
      0.1872,
      0.1361,
      0.1461,
      0.4521,
      0.371,
      0.3876,
      0.5376,
      0.331,
      0.3936,
      0.4038,
      0.2798,
      0.4548,
      0.3273,
      0.3289,
      0.2922,
      0.3667,
      0.2548,
      0.3183,
      0.2603,
      0.1719,
      0.34,
      0.3436,
      0.2342,
      0.5471,
      0.39,
      0.4621,
      0.3752,
      0.2449,
      0.2168,
      0.308,
      0.2074,
      0.472,
      0.2078,
      0.5498,
      0.3799,
      0.5255,
      0.4474,
      0.5374,
      0.4608,
      0.544,
      0.4067,
      0.3116,
      0.3547,
      0.2991,
      0.2884,
      0.4229,
      0.4306,
      0.487,
      0.5717,
      0.4644,
      0.381,
      0.4268,
      0.4444,
      0.3658,
      0.1899,
      0.351,
      0.5328,
      0.3283,
      0.3152,
      0.2948,
      0.3518,
      0.4044,
      0.3453,
      0.2987,
      0.3088,
      0.4335,
      0.2832,
      0.208,
      0.2265,
      0.3798,
      0.3758,
      0.4552,
      0.4697,
      0.2832,
      0.4444,
      0.4107,
      0.3567,
      0.3684,
      0.4409,
      0.3994,
      0.4789,
      0.5101,
      0.5456,
      0.4225,
      0.5433,
      0.3533,
      0.431,
      0.3974,
      0.3611,
      0.4364,
      0.2813,
      0.5523,
      0.4693,
      0.3601,
      0.3958,
      0.3559,
      0.4585,
      0.5271,
      0.4958,
      0.4015,
      0.442,
      0.4154,
      0.3854,
      0.2974,
      0.3259,
      0.4254,
      0.3018,
      0.3072,
      0.2791,
      0.5393,
      0.3724,
      0.4343,
      0.3726,
      0.4642,
      0.4678,
      0.3966,
      0.4407,
      0.1899,
      0.3464,
      0.3509,
      0.2014,
      0.4822,
      0.639,
      0.53,
      0.2894,
      0.2781,
      0.2655,
      0.4208,
      0.3522,
      0.461,
      0.3504,
      0.5135,
      0.5043,
      0.4915,
      0.2872,
      0.4794,
      0.4136,
      0.4733,
      0.3987,
      0.3158,
      0.215,
      0.3458,
      0.3797,
      0.4585,
      0.2943,
      0.5795,
      0.4966,
      0.516,
      0.436,
      0.4009,
      0.4783,
      0.3533,
      0.3572,
      0.3249,
      0.4984,
      0.2917,
      0.336,
      0.2812,
      0.4754,
      0.5273,
      0.463,
      0.5031,
      0.5926,
      0.3344,
      0.2511,
      0.1656,
      0.3235,
      0.4004,
      0.407,
      0.454,
      0.4899,
      0.3007,
      0.5219,
      0.3956,
      0.3878,
      0.3127,
      0.3913,
      0.3713,
      0.4871,
      0.5217,
      0.5837,
      0.4374,
      0.4264,
      0.3823,
      0.4176,
      0.3836,
      0.4224,
      0.4284,
      0.3561,
      0.5344,
      0.393,
      0.4519,
      0.418,
      0.4264,
      0.4771,
      0.5272,
      0.5064,
      0.5529,
      0.4156,
      0.3851,
      0.1132,
      0.1418,
      0.3121,
      0.3931,
      0.2823,
      0.4612,
      0.3339,
      0.1764,
      0.242,
      0.3196,
      0.3344,
      0.3788,
      0.4372,
      0.1573,
      0.5432,
      0.2216,
      0.2966,
      0.3914,
      0.2712,
      0.519,
      0.3575,
      0.5361,
      0.3928,
      0.358,
      0.231,
      0.3661,
      0.4069,
      0.4994,
      0.452,
      0.5362,
      0.3963,
      0.4817,
      0.2795,
      0.4289,
      0.3671,
      0.4495,
      0.4729,
      0.3465,
      0.4877,
      0.3389,
      0.4123,
      0.265,
      0.4227,
      0.4643,
      0.541,
      0.5266,
      0.541,
      0.4341,
      0.3877,
      0.3713,
      0.4558,
      0.3789,
      0.4118,
      0.3241,
      0.2862,
      0.4626,
      0.4426,
      0.4326,
      0.4703,
      0.2826,
      0.3374,
      0.1991,
      0.4218,
      0.4809,
      0.3204,
      0.3947,
      0.2997,
      0.3721,
      0.1624,
      0.2795,
      0.3021,
      0.3471,
      0.2198,
      0.2048,
      0.1627,
      0.2309,
      0.3591,
      0.2442,
      0.5109,
      0.3511,
      0.5173,
      0.0097,
      0,
      0,
      0,
      0,
      0,
      0.1202,
      0.1496,
      0.1525,
      0.0827,
      0.0919,
      0,
      0.058,
      0.0342,
      0.1056,
      0.0547,
      0.1255,
      0.0704,
      0.1135,
      0.0375,
      0.1397,
      0.0766,
      0.392,
      0.4692,
      0.4918,
      0.4214,
      0.2889,
      0.3366,
      0.4239,
      0.3886,
      0.501,
      0.3995,
      0.3327,
      0.3443,
      0.4516,
      0.243,
      0.2747,
      0.2813,
      0.182,
      0.4101,
      0.3758,
      0.2953,
      0.5214,
      0.4596,
      0.4812,
      0.3783,
      0.236,
      0.2348,
      0.378,
      0.2485,
      0.456,
      0.2607,
      0.4745,
      0.4087,
      0.5208,
      0.4172,
      0.5511,
      0.4876,
      0.5237,
      0.2943,
      0.2776,
      0.3364,
      0.3011,
      0.3017,
      0.3943,
      0.4482,
      0.5228,
      0.5382,
      0.4878,
      0.4589,
      0.4075,
      0.4423,
      0.4726,
      0.3246,
      0.3965,
      0.515,
      0.3342,
      0.3411,
      0.3614,
      0.4912,
      0.4255,
      0.3406,
      0.3063,
      0.3318,
      0.5002,
      0.3607,
      0.3249,
      0.2107,
      0.3734,
      0.4244,
      0.353,
      0.4825,
      0.2727,
      0.427,
      0.4189,
      0.3237,
      0.3655,
      0.3315,
      0.4492,
      0.467,
      0.5924,
      0.5196,
      0.3682,
      0.537,
      0.2805,
      0.5243,
      0.3466,
      0.4015,
      0.4906,
      0.267,
      0.5866,
      0.464,
      0.4391,
      0.3863,
      0.398,
      0.4271,
      0.4998,
      0.4874,
      0.4129,
      0.397,
      0.3342,
      0.3923,
      0.3294,
      0.2651,
      0.4132,
      0.3395,
      0.3864,
      0.2854,
      0.521,
      0.4409,
      0.4289,
      0.4215,
      0.5229,
      0.4365,
      0.4196,
      0.6081,
      0.3079,
      0.2762,
      0.4095,
      0.2125,
      0.5344,
      0.5902,
      0.5156,
      0.2597,
      0.3792,
      0.3011,
      0.4621,
      0.3394,
      0.4362,
      0.3936,
      0.4924,
      0.491,
      0.4788,
      0.2592,
      0.5046,
      0.3877,
      0.4793,
      0.4099,
      0.3058,
      0.2279,
      0.357,
      0.3586,
      0.378,
      0.3158,
      0.6053,
      0.5253,
      0.4921,
      0.2847,
      0.3964,
      0.4108,
      0.2892,
      0.2515,
      0.3684,
      0.5328,
      0.3239,
      0.3382,
      0.2455,
      0.4833,
      0.5591,
      0.4234,
      0.3786,
      0.5676,
      0.36,
      0.2775,
      0.3407,
      0.354,
      0.3936,
      0.4781,
      0.3695,
      0.5225,
      0.2843,
      0.4916,
      0.3938,
      0.3697,
      0.3371,
      0.4144,
      0.4573,
      0.4615,
      0.5361,
      0.4953,
      0.4425,
      0.5403,
      0.2999,
      0.5062,
      0.3425,
      0.41,
      0.4748,
      0.3268,
      0.5481,
      0.3969,
      0.4122,
      0.4077,
      0.4347,
      0.4569,
      0.5553,
      0.4867,
      0.4889,
      0.3665,
      0.3747,
      0.1741,
      0,
      0.2331,
      0.3264,
      0.214,
      0.397,
      0.3333,
      0.171,
      0.1755,
      0.2884,
      0.3648,
      0.2842,
      0.432,
      0.3483,
      0.6409,
      0.3317,
      0.293,
      0.3998,
      0.2743,
      0.5381,
      0.383,
      0.4923,
      0.4034,
      0.3325,
      0.3042,
      0.3784,
      0.4787,
      0.4363,
      0.4691,
      0.5075,
      0.4301,
      0.5272,
      0.2757,
      0.512,
      0.3419,
      0.4014,
      0.4651,
      0.2806,
      0.5469,
      0.395,
      0.468,
      0.3757,
      0.4566,
      0.4284,
      0.5317,
      0.5047,
      0.5214,
      0.3545,
      0.3728,
      0.3735,
      0.5102,
      0.4155,
      0.4362,
      0.3299,
      0.3516,
      0.3873,
      0.5043,
      0.4427,
      0.5053,
      0.2959,
      0.3474,
      0.2716,
      0.3255,
      0.5395,
      0.3724,
      0.337,
      0.1883,
      0.231,
      0.1391,
      0.2002,
      0.2338,
      0.3324,
      0.1936,
      0.1746,
      0.1053,
      0.1847,
      0.3168,
      0.2387,
      0.456,
      0.2075,
      0.4753,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1228,
      0.0632,
      0.1162,
      0.004,
      0.0558,
      0.0112,
      0.0894,
      0.0931,
      0.088,
      0.0577,
      0.0775,
      0.0576,
      0.0004,
      0.0664,
      0.0556,
      0.0422,
      0.4037,
      0.4869,
      0.2648,
      0.3627,
      0.2615,
      0.3596,
      0.4652,
      0.3316,
      0.4329,
      0.3892,
      0.3654,
      0.3138,
      0.3855,
      0.2062,
      0.3326,
      0.1684,
      0.1724,
      0.3543,
      0.4227,
      0.2069,
      0.5128,
      0.433,
      0.4668,
      0.3511,
      0.1944,
      0.1778,
      0.3308,
      0.2274,
      0.4248,
      0.2667,
      0.4455,
      0.4742,
      0.4725,
      0.4473,
      0.572,
      0.4961,
      0.481,
      0.3616,
      0.2703,
      0.3927,
      0.2522,
      0.3389,
      0.3805,
      0.4257,
      0.5483,
      0.5598,
      0.5458,
      0.4055,
      0.4329,
      0.4637,
      0.4389,
      0.3234,
      0.3447,
      0.4933,
      0.3626,
      0.3054,
      0.4065,
      0.5122,
      0.4443,
      0.3031,
      0.3378,
      0.303,
      0.4857,
      0.2849,
      0.2259,
      0.297,
      0.3611,
      0.3202,
      0.3444,
      0.4327,
      0.3127,
      0.4133,
      0.3582,
      0.3974,
      0.3067,
      0.3323,
      0.3848,
      0.406,
      0.6075,
      0.4799,
      0.4489,
      0.5117,
      0.3212,
      0.5586,
      0.33,
      0.3241,
      0.4671,
      0.2068,
      0.6122,
      0.3652,
      0.4623,
      0.3821,
      0.4222,
      0.4523,
      0.5087,
      0.5333,
      0.4412,
      0.3584,
      0.3596,
      0.3236,
      0.2082,
      0.2328,
      0.3706,
      0.3713,
      0.3241,
      0.2667,
      0.5082,
      0.4083,
      0.4324,
      0.4631,
      0.4691,
      0.3712,
      0.4182,
      0.5385,
      0.1524,
      0.2661,
      0.3703,
      0.1573,
      0.4096,
      0.6545,
      0.4658,
      0.4073,
      0.3687,
      0.3345,
      0.4589,
      0.3961,
      0.437,
      0.4696,
      0.4338,
      0.3886,
      0.5194,
      0.3132,
      0.5865,
      0.348,
      0.4741,
      0.361,
      0.2646,
      0.1675,
      0.3046,
      0.3411,
      0.3717,
      0.4161,
      0.5812,
      0.4862,
      0.5231,
      0.3343,
      0.469,
      0.3869,
      0.2024,
      0.2396,
      0.4549,
      0.4469,
      0.3598,
      0.3995,
      0.3077,
      0.484,
      0.4901,
      0.4351,
      0.3244,
      0.5859,
      0.3586,
      0.2321,
      0.2248,
      0.2849,
      0.3544,
      0.4232,
      0.3314,
      0.4712,
      0.3417,
      0.5083,
      0.3394,
      0.436,
      0.268,
      0.3474,
      0.3911,
      0.4315,
      0.5088,
      0.4707,
      0.4455,
      0.4866,
      0.3418,
      0.5327,
      0.3942,
      0.3225,
      0.4548,
      0.2499,
      0.5825,
      0.3826,
      0.3816,
      0.4384,
      0.4247,
      0.5379,
      0.4971,
      0.533,
      0.5076,
      0.3606,
      0.3095,
      0.1076,
      0.0654,
      0.2888,
      0.314,
      0.1184,
      0.3979,
      0.3782,
      0.2317,
      0.2842,
      0.3624,
      0.2797,
      0.3532,
      0.4246,
      0.3378,
      0.5424,
      0.3193,
      0.3026,
      0.3767,
      0.2507,
      0.4965,
      0.3358,
      0.5008,
      0.382,
      0.3206,
      0.2845,
      0.3582,
      0.4579,
      0.4522,
      0.3443,
      0.4512,
      0.4439,
      0.4925,
      0.2842,
      0.5353,
      0.3134,
      0.3692,
      0.451,
      0.2889,
      0.5723,
      0.3983,
      0.4137,
      0.3618,
      0.4244,
      0.4663,
      0.4934,
      0.5489,
      0.5273,
      0.2969,
      0.4223,
      0.2939,
      0.4119,
      0.4189,
      0.3748,
      0.2134,
      0.2896,
      0.3196,
      0.3983,
      0.4689,
      0.5463,
      0.3958,
      0.3463,
      0.1056,
      0.2831,
      0.4979,
      0.3115,
      0.2686,
      0.2075,
      0.0427,
      0.2088,
      0.1932,
      0.2577,
      0.2666,
      0.1427,
      0.1618,
      0.1129,
      0.0739,
      0.2816,
      0.1752,
      0.3906,
      0.118,
      0.4417,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1385,
      0.1427,
      0.1514,
      0.1092,
      0.1223,
      0.0634,
      0.0993,
      0.0985,
      0.0426,
      0,
      0,
      0.0857,
      0.0463,
      0.0543,
      0.0917,
      0.072,
      0.4148,
      0.3529,
      0.2956,
      0.4761,
      0.3176,
      0.3669,
      0.5183,
      0.3257,
      0.4497,
      0.3507,
      0.4196,
      0.3516,
      0.2999,
      0.2428,
      0.2955,
      0.1148,
      0.1691,
      0.2036,
      0.3082,
      0.2761,
      0.4679,
      0.4419,
      0.4952,
      0.3629,
      0.2408,
      0.2245,
      0.3257,
      0.2467,
      0.3911,
      0.3306,
      0.557,
      0.4958,
      0.5544,
      0.4171,
      0.5518,
      0.5085,
      0.4686,
      0.3488,
      0.1989,
      0.3164,
      0.3475,
      0.2925,
      0.3466,
      0.2122,
      0.4742,
      0.4634,
      0.524,
      0.3887,
      0.5094,
      0.4385,
      0.4383,
      0.3243,
      0.3739,
      0.461,
      0.3411,
      0.2311,
      0.4168,
      0.4832,
      0.4184,
      0.301,
      0.5161,
      0.3159,
      0.4896,
      0.2107,
      0.1867,
      0.2118,
      0.4144,
      0.4256,
      0.3858,
      0.3592,
      0.2455,
      0.4415,
      0.2743,
      0.3533,
      0.3426,
      0.3214,
      0.3825,
      0.4208,
      0.6088,
      0.5417,
      0.3883,
      0.5245,
      0.3339,
      0.4702,
      0.3413,
      0.3641,
      0.4743,
      0.2112,
      0.5904,
      0.4151,
      0.4403,
      0.3585,
      0.3869,
      0.4128,
      0.4616,
      0.4781,
      0.4168,
      0.3881,
      0.4295,
      0.4214,
      0.2475,
      0.2185,
      0.3779,
      0.3443,
      0.2855,
      0.2378,
      0.4896,
      0.4147,
      0.4066,
      0.273,
      0.427,
      0.4358,
      0.4891,
      0.5051,
      0.0922,
      0.2696,
      0.3671,
      0.1641,
      0.3703,
      0.6347,
      0.494,
      0.385,
      0.3222,
      0.2754,
      0.4012,
      0.4633,
      0.4629,
      0.4052,
      0.4638,
      0.4188,
      0.5613,
      0.3579,
      0.4966,
      0.3066,
      0.5435,
      0.3695,
      0.21,
      0.1845,
      0.2396,
      0.3204,
      0.3334,
      0.4205,
      0.613,
      0.4678,
      0.5054,
      0.4075,
      0.4028,
      0.2928,
      0.2315,
      0.3623,
      0.2904,
      0.4313,
      0.3438,
      0.3883,
      0.2432,
      0.5456,
      0.4906,
      0.3501,
      0.3571,
      0.587,
      0.3162,
      0.1886,
      0.1871,
      0.3499,
      0.3301,
      0.435,
      0.3115,
      0.4019,
      0.2709,
      0.432,
      0.3117,
      0.3961,
      0.2808,
      0.4041,
      0.371,
      0.4471,
      0.5868,
      0.5102,
      0.3989,
      0.5029,
      0.2846,
      0.4847,
      0.371,
      0.3486,
      0.4566,
      0.2337,
      0.5779,
      0.3806,
      0.4033,
      0.4011,
      0.3373,
      0.489,
      0.4656,
      0.4584,
      0.4498,
      0.344,
      0.3453,
      0.1174,
      0.0971,
      0.2535,
      0.3076,
      0.2014,
      0.5085,
      0.3759,
      0.293,
      0.2244,
      0.4651,
      0.2907,
      0.3317,
      0.4025,
      0.3327,
      0.5711,
      0.2972,
      0.2794,
      0.2633,
      0.16,
      0.4825,
      0.4329,
      0.4554,
      0.3861,
      0.3616,
      0.2237,
      0.3555,
      0.3618,
      0.447,
      0.4177,
      0.5361,
      0.488,
      0.5068,
      0.2062,
      0.4522,
      0.3251,
      0.3782,
      0.4728,
      0.2785,
      0.5794,
      0.3758,
      0.3761,
      0.3475,
      0.3388,
      0.4775,
      0.4328,
      0.5164,
      0.5195,
      0.4148,
      0.3759,
      0.3785,
      0.45,
      0.4054,
      0.308,
      0.1977,
      0.3327,
      0.3702,
      0.3458,
      0.433,
      0.5593,
      0.3935,
      0.3853,
      0.1578,
      0.3578,
      0.4664,
      0.3328,
      0.2073,
      0.1836,
      0.0542,
      0.1689,
      0.1329,
      0.2343,
      0.2997,
      0.1442,
      0.1921,
      0.1282,
      0.1426,
      0.193,
      0.0054,
      0.3838,
      0.1648,
      0.4198,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2117,
      0.0961,
      0.1636,
      0.0958,
      0.1422,
      0.0503,
      0.077,
      0.02,
      0.0643,
      0.081,
      0,
      0.0323,
      0.0596,
      0.0428,
      0.084,
      0,
      0.3986,
      0.3821,
      0.2865,
      0.4595,
      0.2343,
      0.4001,
      0.4782,
      0.4408,
      0.3583,
      0.4861,
      0.4364,
      0.3752,
      0.4512,
      0.2101,
      0.4428,
      0.1853,
      0.1747,
      0.2856,
      0.3382,
      0.2226,
      0.4583,
      0.3911,
      0.5004,
      0.3497,
      0.2407,
      0.2047,
      0.281,
      0.1257,
      0.4385,
      0.1839,
      0.6158,
      0.3223,
      0.5604,
      0.4644,
      0.5813,
      0.4805,
      0.4865,
      0.3419,
      0.2205,
      0.3327,
      0.2577,
      0.2927,
      0.3735,
      0.3594,
      0.4177,
      0.4602,
      0.4867,
      0.3955,
      0.4931,
      0.4379,
      0.3882,
      0.3178,
      0.3609,
      0.4326,
      0.2728,
      0.3039,
      0.4959,
      0.4486,
      0.462,
      0.3043,
      0.4335,
      0.2653,
      0.4712,
      0.2643,
      0.219,
      0.2046,
      0.387,
      0.3743,
      0.3456,
      0.433,
      0.2923,
      0.3105,
      0.3721,
      0.3177,
      0.3185,
      0.357,
      0.3897,
      0.4348,
      0.6264,
      0.5793,
      0.4478,
      0.5374,
      0.3709,
      0.5433,
      0.3751,
      0.386,
      0.496,
      0.1659,
      0.6101,
      0.2335,
      0.4495,
      0.3766,
      0.3601,
      0.4478,
      0.3972,
      0.4884,
      0.3898,
      0.4479,
      0.3746,
      0.376,
      0.2508,
      0.0847,
      0.3625,
      0.4984,
      0.2913,
      0.164,
      0.4715,
      0.4934,
      0.3642,
      0.3508,
      0.4169,
      0.4812,
      0.3868,
      0.5024,
      0.1118,
      0.3172,
      0.4024,
      0.1788,
      0.3982,
      0.5829,
      0.4557,
      0.3314,
      0.2439,
      0.19,
      0.3114,
      0.3935,
      0.4612,
      0.3413,
      0.5418,
      0.4286,
      0.5336,
      0.2601,
      0.5727,
      0.4021,
      0.4924,
      0.3586,
      0.1894,
      0.177,
      0.2254,
      0.3388,
      0.3224,
      0.4116,
      0.6513,
      0.4336,
      0.5317,
      0.3572,
      0.4374,
      0.369,
      0.2171,
      0.3071,
      0.1994,
      0.4097,
      0.439,
      0.4158,
      0.247,
      0.5426,
      0.5766,
      0.3917,
      0.3432,
      0.5765,
      0.2705,
      0.2259,
      0.1551,
      0.3605,
      0.3994,
      0.4112,
      0.3463,
      0.408,
      0.3344,
      0.4091,
      0.3727,
      0.3466,
      0.1737,
      0.4132,
      0.3761,
      0.4301,
      0.5417,
      0.5601,
      0.3876,
      0.5029,
      0.353,
      0.5167,
      0.4478,
      0.4588,
      0.4464,
      0.2823,
      0.543,
      0.342,
      0.4356,
      0.3561,
      0.2627,
      0.451,
      0.4305,
      0.4623,
      0.458,
      0.4064,
      0.2456,
      0.2244,
      0.1656,
      0.2515,
      0.3471,
      0.2676,
      0.5368,
      0.339,
      0.2022,
      0.2581,
      0.2745,
      0.2942,
      0.3477,
      0.4865,
      0.2635,
      0.6086,
      0.1894,
      0.2387,
      0.2834,
      0.2102,
      0.4089,
      0.4085,
      0.4281,
      0.3682,
      0.2962,
      0.3026,
      0.3689,
      0.3071,
      0.4584,
      0.4792,
      0.5958,
      0.4751,
      0.5346,
      0.3221,
      0.524,
      0.4051,
      0.4025,
      0.4554,
      0.3099,
      0.5448,
      0.3433,
      0.4498,
      0.3698,
      0.3726,
      0.4153,
      0.4292,
      0.493,
      0.4403,
      0.427,
      0.3693,
      0.305,
      0.4505,
      0.325,
      0.41,
      0.2106,
      0.3256,
      0.373,
      0.3229,
      0.4794,
      0.5645,
      0.3314,
      0.3998,
      0.1298,
      0.3213,
      0.4472,
      0.3909,
      0.1345,
      0.1453,
      0,
      0.1706,
      0.1137,
      0.1901,
      0.2489,
      0.1339,
      0.2342,
      0.0679,
      0.1588,
      0.3247,
      0.1324,
      0.4483,
      0.1043,
      0.4171,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2099,
      0.1348,
      0.1308,
      0.0553,
      0.0708,
      0,
      0.0146,
      0.0793,
      0.125,
      0.0352,
      0.0772,
      0.024,
      0.0492,
      0,
      0.1308,
      0.049,
      0.4001,
      0.2502,
      0.1795,
      0.4074,
      0.2485,
      0.4107,
      0.4138,
      0.4548,
      0.3955,
      0.4396,
      0.3907,
      0.3683,
      0.384,
      0.3178,
      0.4576,
      0.1775,
      0.1546,
      0.2064,
      0.3202,
      0.2485,
      0.5436,
      0.4069,
      0.4495,
      0.358,
      0.2498,
      0.1509,
      0.3297,
      0.2551,
      0.5286,
      0.2971,
      0.4922,
      0.4426,
      0.4734,
      0.4691,
      0.5648,
      0.5532,
      0.3953,
      0.3462,
      0.1285,
      0.3049,
      0.3116,
      0.2878,
      0.3835,
      0.4058,
      0.4645,
      0.5638,
      0.4927,
      0.4014,
      0.3941,
      0.4374,
      0.4022,
      0.255,
      0.3253,
      0.5019,
      0.3034,
      0.2766,
      0.4674,
      0.3728,
      0.4718,
      0.2888,
      0.3654,
      0.2471,
      0.5038,
      0.2917,
      0.2054,
      0.1927,
      0.3161,
      0.3478,
      0.3226,
      0.4936,
      0.3088,
      0.4743,
      0.3203,
      0.3022,
      0.3317,
      0.3709,
      0.3523,
      0.4549,
      0.5833,
      0.4581,
      0.4952,
      0.4955,
      0.4037,
      0.5562,
      0.3505,
      0.35,
      0.4945,
      0.159,
      0.5602,
      0.304,
      0.4011,
      0.4124,
      0.3326,
      0.519,
      0.5168,
      0.491,
      0.4706,
      0.3916,
      0.4044,
      0.378,
      0.1652,
      0.1695,
      0.3496,
      0.4389,
      0.2281,
      0.3003,
      0.4143,
      0.4664,
      0.4383,
      0.4041,
      0.3917,
      0.4076,
      0.5081,
      0.4893,
      0.1872,
      0.2099,
      0.3755,
      0.186,
      0.467,
      0.6656,
      0.5545,
      0.2703,
      0.2092,
      0.2505,
      0.3034,
      0.3266,
      0.4815,
      0.2805,
      0.5144,
      0.4635,
      0.4473,
      0.2425,
      0.5705,
      0.3911,
      0.5108,
      0.3761,
      0.1523,
      0.1874,
      0.186,
      0.4099,
      0.3948,
      0.3863,
      0.5923,
      0.5044,
      0.4896,
      0.4338,
      0.42,
      0.435,
      0.2006,
      0.3447,
      0.2245,
      0.44,
      0.4159,
      0.4031,
      0.2701,
      0.4673,
      0.5999,
      0.4149,
      0.4059,
      0.5054,
      0.2666,
      0.1797,
      0.2082,
      0.3022,
      0.3781,
      0.4494,
      0.3324,
      0.4462,
      0.3022,
      0.5257,
      0.2812,
      0.433,
      0.2685,
      0.3853,
      0.4142,
      0.4669,
      0.5132,
      0.5418,
      0.4406,
      0.4482,
      0.3849,
      0.5343,
      0.3305,
      0.4023,
      0.4746,
      0.2856,
      0.5567,
      0.3056,
      0.4012,
      0.429,
      0.292,
      0.4541,
      0.5024,
      0.458,
      0.5395,
      0.3435,
      0.3461,
      0.1001,
      0.0257,
      0.2459,
      0.3382,
      0.3192,
      0.4278,
      0.3228,
      0.0985,
      0.1691,
      0.2206,
      0.3889,
      0.3279,
      0.3332,
      0.2672,
      0.4914,
      0.3187,
      0.2028,
      0.2708,
      0.2639,
      0.4894,
      0.4342,
      0.5176,
      0.3137,
      0.376,
      0.2673,
      0.2938,
      0.3743,
      0.5165,
      0.4376,
      0.4533,
      0.4556,
      0.4574,
      0.3402,
      0.501,
      0.3067,
      0.3573,
      0.4602,
      0.2977,
      0.5437,
      0.2989,
      0.4311,
      0.3147,
      0.3811,
      0.48,
      0.5029,
      0.4935,
      0.5256,
      0.3918,
      0.4154,
      0.3559,
      0.3783,
      0.3485,
      0.3669,
      0.2719,
      0.2785,
      0.4082,
      0.3334,
      0.4543,
      0.4962,
      0.3391,
      0.4179,
      0.075,
      0.3153,
      0.4965,
      0.3686,
      0.2367,
      0.0657,
      0.0374,
      0.0567,
      0.1134,
      0.1706,
      0.108,
      0.138,
      0.1367,
      0.1663,
      0.1836,
      0.3422,
      0.1466,
      0.468,
      0.1376,
      0.5013,
      0.0016,
      0,
      0,
      0,
      0,
      0,
      0.1611,
      0.0983,
      0.1103,
      0.0445,
      0.083,
      0,
      0.0128,
      0.0488,
      0.0654,
      0.0746,
      0,
      0,
      0.0887,
      0.0294,
      0.1449,
      0.1053,
      0.39,
      0.2215,
      0.2909,
      0.4123,
      0.2837,
      0.3658,
      0.2961,
      0.3874,
      0.4532,
      0.4748,
      0.3636,
      0.3791,
      0.353,
      0.2496,
      0.3452,
      0.183,
      0.1757,
      0.2074,
      0.4179,
      0.3136,
      0.501,
      0.3742,
      0.4615,
      0.3495,
      0.2544,
      0.2431,
      0.3343,
      0.2666,
      0.483,
      0.2513,
      0.5087,
      0.5128,
      0.5025,
      0.4373,
      0.5447,
      0.4934,
      0.5233,
      0.418,
      0.1755,
      0.2891,
      0.2121,
      0.2852,
      0.3168,
      0.4354,
      0.3915,
      0.5499,
      0.5187,
      0.4067,
      0.4309,
      0.3439,
      0.3273,
      0.226,
      0.2799,
      0.4857,
      0.3032,
      0.3214,
      0.3532,
      0.4656,
      0.4791,
      0.381,
      0.3581,
      0.2686,
      0.5134,
      0.2903,
      0.2798,
      0.2154,
      0.3023,
      0.4539,
      0.3687,
      0.4623,
      0.2625,
      0.4324,
      0.3991,
      0.3013,
      0.3348,
      0.3521,
      0.3017,
      0.4096,
      0.5675,
      0.4348,
      0.4603,
      0.3911,
      0.3779,
      0.515,
      0.4117,
      0.405,
      0.4682,
      0.2209,
      0.627,
      0.2189,
      0.458,
      0.3632,
      0.3478,
      0.4881,
      0.533,
      0.5074,
      0.446,
      0.4073,
      0.4394,
      0.3453,
      0.2383,
      0.2016,
      0.3897,
      0.394,
      0.3079,
      0.2609,
      0.4338,
      0.4977,
      0.4462,
      0.3594,
      0.49,
      0.4704,
      0.4606,
      0.4792,
      0.1665,
      0.2895,
      0.3446,
      0.2255,
      0.4878,
      0.5922,
      0.5246,
      0.3248,
      0.1241,
      0.3153,
      0.3827,
      0.2786,
      0.4513,
      0.3246,
      0.4276,
      0.4451,
      0.4945,
      0.2685,
      0.5124,
      0.4045,
      0.4991,
      0.3299,
      0.1832,
      0.208,
      0.2723,
      0.3752,
      0.4069,
      0.3359,
      0.5165,
      0.5301,
      0.5328,
      0.5064,
      0.3759,
      0.4567,
      0.2874,
      0.2696,
      0.3277,
      0.4701,
      0.4025,
      0.3825,
      0.3422,
      0.5148,
      0.6668,
      0.4385,
      0.4957,
      0.5918,
      0.3433,
      0.1777,
      0.2304,
      0.3807,
      0.389,
      0.438,
      0.3253,
      0.476,
      0.2944,
      0.5227,
      0.3604,
      0.3731,
      0.2768,
      0.3592,
      0.4068,
      0.432,
      0.5391,
      0.4606,
      0.3735,
      0.4682,
      0.3779,
      0.4804,
      0.3849,
      0.4278,
      0.4459,
      0.2399,
      0.6229,
      0.2965,
      0.3924,
      0.336,
      0.3039,
      0.3882,
      0.4955,
      0.4986,
      0.5223,
      0.3446,
      0.3594,
      0.1814,
      0.0896,
      0.1945,
      0.2976,
      0.29,
      0.4413,
      0.3346,
      0.2304,
      0.2325,
      0.2699,
      0.3836,
      0.283,
      0.4634,
      0.4291,
      0.5519,
      0.3385,
      0.2308,
      0.4107,
      0.3294,
      0.5213,
      0.4852,
      0.5355,
      0.3144,
      0.2785,
      0.2817,
      0.3105,
      0.3357,
      0.4935,
      0.4836,
      0.4951,
      0.367,
      0.483,
      0.2281,
      0.4462,
      0.3606,
      0.3729,
      0.4569,
      0.2682,
      0.59,
      0.268,
      0.3889,
      0.3684,
      0.4704,
      0.383,
      0.5105,
      0.5171,
      0.5228,
      0.3111,
      0.3808,
      0.3794,
      0.3569,
      0.3646,
      0.3488,
      0.3156,
      0.3466,
      0.3216,
      0.4409,
      0.4591,
      0.6018,
      0.337,
      0.3527,
      0.1381,
      0.3329,
      0.5431,
      0.3733,
      0.213,
      0.1109,
      0.1069,
      0.0909,
      0.0841,
      0.2324,
      0.1026,
      0.1274,
      0.1548,
      0.1764,
      0.2176,
      0.3678,
      0.2262,
      0.4459,
      0.1381,
      0.4441,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2002,
      0.1058,
      0.0919,
      0.098,
      0.0813,
      0.0605,
      0.035,
      0.0283,
      0.1617,
      0.0783,
      0,
      0.0641,
      0.0168,
      0.0522,
      0.1157,
      0.1106,
      0.376,
      0.3469,
      0.389,
      0.5521,
      0.2697,
      0.317,
      0.3381,
      0.3464,
      0.5117,
      0.475,
      0.4213,
      0.4059,
      0.3986,
      0.1752,
      0.2428,
      0.3291,
      0.1743,
      0.2452,
      0.3713,
      0.2434,
      0.4236,
      0.4427,
      0.362,
      0.3275,
      0.2636,
      0.3291,
      0.3555,
      0.1878,
      0.4499,
      0.1459,
      0.5473,
      0.4309,
      0.5362,
      0.4686,
      0.5119,
      0.4894,
      0.4488,
      0.3344,
      0.1846,
      0.3072,
      0.2347,
      0.2685,
      0.3652,
      0.3513,
      0.4084,
      0.5235,
      0.4862,
      0.3695,
      0.4222,
      0.415,
      0.3743,
      0.2196,
      0.2487,
      0.4409,
      0.304,
      0.324,
      0.2959,
      0.4803,
      0.4742,
      0.3926,
      0.371,
      0.2175,
      0.4984,
      0.365,
      0.2317,
      0.2278,
      0.3181,
      0.4331,
      0.329,
      0.393,
      0.2189,
      0.3027,
      0.3447,
      0.372,
      0.3228,
      0.4251,
      0.3303,
      0.3933,
      0.5988,
      0.5005,
      0.4044,
      0.5037,
      0.3228,
      0.5192,
      0.4196,
      0.4695,
      0.477,
      0.2332,
      0.6307,
      0.284,
      0.4187,
      0.4772,
      0.3307,
      0.4284,
      0.3764,
      0.4457,
      0.3228,
      0.406,
      0.3862,
      0.39,
      0.1722,
      0.3064,
      0.3634,
      0.4001,
      0.3108,
      0.2144,
      0.4627,
      0.4755,
      0.393,
      0.4052,
      0.4715,
      0.5106,
      0.5103,
      0.5096,
      0.1033,
      0.3687,
      0.3645,
      0.1919,
      0.3813,
      0.577,
      0.4235,
      0.3028,
      0.2351,
      0.2433,
      0.4485,
      0.3035,
      0.4258,
      0.3187,
      0.4672,
      0.5029,
      0.5242,
      0.3492,
      0.5565,
      0.4122,
      0.5166,
      0.401,
      0.06,
      0.2638,
      0.3294,
      0.3979,
      0.506,
      0.3459,
      0.635,
      0.4145,
      0.4451,
      0.5126,
      0.3354,
      0.4264,
      0.3804,
      0.3278,
      0.2927,
      0.3705,
      0.2617,
      0.4187,
      0.265,
      0.442,
      0.5271,
      0.4545,
      0.5799,
      0.6577,
      0.3295,
      0.1341,
      0.2445,
      0.3413,
      0.3306,
      0.4654,
      0.3822,
      0.4423,
      0.2184,
      0.3855,
      0.3212,
      0.3842,
      0.2878,
      0.4157,
      0.3697,
      0.4199,
      0.4898,
      0.5309,
      0.3826,
      0.5069,
      0.3289,
      0.4392,
      0.3688,
      0.4389,
      0.4459,
      0.2028,
      0.557,
      0.3308,
      0.4237,
      0.4568,
      0.3116,
      0.3982,
      0.4785,
      0.3892,
      0.3979,
      0.3949,
      0.3052,
      0.07,
      0.068,
      0.2302,
      0.2467,
      0.2984,
      0.4588,
      0.2665,
      0.2052,
      0.2728,
      0.2134,
      0.3901,
      0.324,
      0.3123,
      0.3867,
      0.561,
      0.2419,
      0.2534,
      0.4018,
      0.2192,
      0.4043,
      0.3776,
      0.314,
      0.3654,
      0.2736,
      0.2034,
      0.3468,
      0.3375,
      0.4864,
      0.4016,
      0.5268,
      0.4183,
      0.5135,
      0.2066,
      0.4422,
      0.3834,
      0.4136,
      0.4367,
      0.2496,
      0.587,
      0.3038,
      0.4296,
      0.3968,
      0.4195,
      0.378,
      0.4076,
      0.4449,
      0.3515,
      0.3108,
      0.3936,
      0.4073,
      0.4329,
      0.3431,
      0.3282,
      0.2812,
      0.3257,
      0.3917,
      0.4808,
      0.4982,
      0.5564,
      0.3458,
      0.3188,
      0.0991,
      0.3227,
      0.5376,
      0.3662,
      0.2327,
      0.1467,
      0.0956,
      0.1262,
      0.2,
      0.2575,
      0.2182,
      0.182,
      0.171,
      0.1106,
      0.1347,
      0.2422,
      0.1746,
      0.464,
      0.105,
      0.4919,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1877,
      0.0928,
      0.0428,
      0.1009,
      0.1451,
      0.1394,
      0.1493,
      0.0729,
      0.202,
      0,
      0,
      0.0533,
      0,
      0.0247,
      0.0634,
      0,
      0.4053,
      0.4665,
      0.4653,
      0.4528,
      0.309,
      0.226,
      0.3176,
      0.2761,
      0.5122,
      0.4683,
      0.4217,
      0.4106,
      0.4787,
      0.1949,
      0.2647,
      0.2874,
      0.1049,
      0.4229,
      0.245,
      0.4158,
      0.4891,
      0.4921,
      0.335,
      0.389,
      0.1753,
      0.3516,
      0.3586,
      0.1494,
      0.4418,
      0.1463,
      0.426,
      0.467,
      0.5127,
      0.4598,
      0.5594,
      0.4413,
      0.4482,
      0.3159,
      0.179,
      0.3097,
      0.3092,
      0.1643,
      0.369,
      0.3426,
      0.4823,
      0.4836,
      0.509,
      0.4273,
      0.3841,
      0.3846,
      0.4775,
      0.3083,
      0.3977,
      0.4252,
      0.2674,
      0.2627,
      0.3121,
      0.4862,
      0.4649,
      0.3688,
      0.3737,
      0.2588,
      0.4955,
      0.4607,
      0.1929,
      0.2102,
      0.3508,
      0.343,
      0.3436,
      0.3718,
      0.2011,
      0.3699,
      0.3435,
      0.3813,
      0.3089,
      0.379,
      0.3889,
      0.4224,
      0.5619,
      0.4617,
      0.3748,
      0.5028,
      0.3787,
      0.5519,
      0.4101,
      0.4135,
      0.4621,
      0.1421,
      0.605,
      0.3671,
      0.3905,
      0.4035,
      0.328,
      0.4706,
      0.4475,
      0.5242,
      0.4158,
      0.3824,
      0.3503,
      0.4103,
      0.2654,
      0.291,
      0.3647,
      0.3657,
      0.1975,
      0.2104,
      0.4403,
      0.4992,
      0.3892,
      0.4121,
      0.4276,
      0.5419,
      0.4664,
      0.5311,
      0.2236,
      0.3378,
      0.3953,
      0.1661,
      0.399,
      0.6387,
      0.4173,
      0.3692,
      0.2831,
      0.3101,
      0.4297,
      0.3137,
      0.4267,
      0.3577,
      0.4919,
      0.4518,
      0.5409,
      0.3663,
      0.5861,
      0.4085,
      0.5083,
      0.3489,
      0.1356,
      0.2036,
      0.3162,
      0.3287,
      0.5417,
      0.3151,
      0.5602,
      0.4468,
      0.4904,
      0.3663,
      0.3623,
      0.4617,
      0.3522,
      0.2956,
      0.2896,
      0.4287,
      0.3089,
      0.3773,
      0.1934,
      0.4705,
      0.5638,
      0.4736,
      0.4192,
      0.6076,
      0.3873,
      0.1723,
      0.2141,
      0.3182,
      0.2729,
      0.4386,
      0.3104,
      0.3665,
      0.2373,
      0.4532,
      0.2786,
      0.4065,
      0.2943,
      0.4115,
      0.4181,
      0.4321,
      0.4847,
      0.5132,
      0.3492,
      0.5016,
      0.3306,
      0.5128,
      0.3776,
      0.4531,
      0.4457,
      0.2451,
      0.56,
      0.3661,
      0.378,
      0.4,
      0.3074,
      0.4986,
      0.448,
      0.4534,
      0.4445,
      0.3469,
      0.3442,
      0.1126,
      0.073,
      0.2441,
      0.2225,
      0.3072,
      0.4629,
      0.2952,
      0.2314,
      0.2348,
      0.2008,
      0.4008,
      0.3269,
      0.3988,
      0.3799,
      0.6718,
      0.2618,
      0.3257,
      0.4081,
      0.2077,
      0.3589,
      0.4316,
      0.4518,
      0.3329,
      0.3077,
      0.2871,
      0.3068,
      0.3569,
      0.443,
      0.4468,
      0.4291,
      0.5272,
      0.5264,
      0.1874,
      0.476,
      0.3946,
      0.4209,
      0.424,
      0.237,
      0.5529,
      0.3186,
      0.4104,
      0.3857,
      0.3441,
      0.5008,
      0.4146,
      0.4783,
      0.4443,
      0.297,
      0.3583,
      0.3422,
      0.4668,
      0.3819,
      0.3423,
      0.2774,
      0.3008,
      0.3837,
      0.446,
      0.5036,
      0.4678,
      0.3314,
      0.3665,
      0.101,
      0.3201,
      0.4887,
      0.3544,
      0.1971,
      0.1682,
      0.1138,
      0.1963,
      0.2322,
      0.1568,
      0.1218,
      0.1557,
      0.1533,
      0.1632,
      0.154,
      0.2462,
      0.0907,
      0.395,
      0.1397,
      0.4613,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2113,
      0.0918,
      0.0481,
      0.0815,
      0.1009,
      0.1001,
      0.0703,
      0.0524,
      0.132,
      0,
      0.0161,
      0.0701,
      0,
      0.0543,
      0.0567,
      0.0299,
      0.371,
      0.5663,
      0.2695,
      0.3661,
      0.3006,
      0.3056,
      0.3259,
      0.3478,
      0.4722,
      0.5099,
      0.4206,
      0.3801,
      0.372,
      0.2152,
      0.34,
      0.2111,
      0.1519,
      0.358,
      0.3997,
      0.3393,
      0.3584,
      0.4908,
      0.4057,
      0.3365,
      0.2296,
      0.3499,
      0.3334,
      0.1571,
      0.4514,
      0.3598,
      0.5046,
      0.5114,
      0.4865,
      0.4643,
      0.4488,
      0.5194,
      0.4871,
      0.3702,
      0.1921,
      0.3193,
      0.3074,
      0.1785,
      0.396,
      0.3501,
      0.5386,
      0.4813,
      0.5115,
      0.3785,
      0.4389,
      0.437,
      0.4554,
      0.3124,
      0.4087,
      0.4323,
      0.2256,
      0.2616,
      0.3014,
      0.4995,
      0.4148,
      0.344,
      0.4091,
      0.1808,
      0.457,
      0.3677,
      0.2423,
      0.1912,
      0.3638,
      0.4128,
      0.3174,
      0.4323,
      0.2193,
      0.3341,
      0.3444,
      0.3924,
      0.3107,
      0.3651,
      0.377,
      0.4423,
      0.502,
      0.4777,
      0.3961,
      0.5088,
      0.3746,
      0.4514,
      0.3426,
      0.44,
      0.4077,
      0.2018,
      0.6462,
      0.4118,
      0.3701,
      0.4672,
      0.4341,
      0.5252,
      0.4248,
      0.5485,
      0.3925,
      0.381,
      0.343,
      0.4121,
      0.1369,
      0.2121,
      0.4035,
      0.3921,
      0.247,
      0.194,
      0.4798,
      0.4738,
      0.4371,
      0.3646,
      0.4798,
      0.5083,
      0.4314,
      0.5573,
      0.179,
      0.2636,
      0.4185,
      0.2817,
      0.4839,
      0.5104,
      0.4161,
      0.3831,
      0.3647,
      0.3396,
      0.4585,
      0.2921,
      0.5115,
      0.4117,
      0.4621,
      0.4388,
      0.4421,
      0.3181,
      0.4779,
      0.4059,
      0.5298,
      0.2468,
      0.2118,
      0.1299,
      0.2858,
      0.4148,
      0.4252,
      0.3772,
      0.6236,
      0.5127,
      0.5162,
      0.3566,
      0.3633,
      0.3899,
      0.1958,
      0.2891,
      0.3517,
      0.4577,
      0.3791,
      0.4439,
      0.3091,
      0.4988,
      0.5067,
      0.4165,
      0.3962,
      0.5221,
      0.3765,
      0.1239,
      0.2076,
      0.3521,
      0.3465,
      0.5038,
      0.3575,
      0.4053,
      0.2544,
      0.4245,
      0.2946,
      0.3929,
      0.2499,
      0.4416,
      0.3783,
      0.4568,
      0.5243,
      0.4628,
      0.3127,
      0.5031,
      0.3454,
      0.4355,
      0.3251,
      0.4655,
      0.3831,
      0.2411,
      0.6041,
      0.4365,
      0.3524,
      0.4618,
      0.4475,
      0.5552,
      0.4753,
      0.5097,
      0.4453,
      0.3426,
      0.314,
      0.1437,
      0.1581,
      0.2235,
      0.2763,
      0.3088,
      0.3284,
      0.2911,
      0.1959,
      0.1654,
      0.2162,
      0.4192,
      0.3334,
      0.4344,
      0.3297,
      0.5787,
      0.3429,
      0.341,
      0.4,
      0.199,
      0.4952,
      0.3708,
      0.4001,
      0.3809,
      0.3432,
      0.2918,
      0.2348,
      0.4225,
      0.5089,
      0.4335,
      0.4904,
      0.5174,
      0.51,
      0.3137,
      0.4218,
      0.3474,
      0.4209,
      0.3703,
      0.2364,
      0.6043,
      0.3738,
      0.3266,
      0.3773,
      0.4357,
      0.4783,
      0.4723,
      0.5251,
      0.3938,
      0.3352,
      0.4068,
      0.3538,
      0.4124,
      0.3526,
      0.3979,
      0.2285,
      0.3096,
      0.3787,
      0.4625,
      0.4249,
      0.5617,
      0.2895,
      0.3649,
      0.2269,
      0.3376,
      0.5201,
      0.344,
      0.1722,
      0.0374,
      0.0962,
      0.0501,
      0.1652,
      0.2648,
      0.2262,
      0.1522,
      0.1095,
      0.1548,
      0.2718,
      0.346,
      0.1642,
      0.4529,
      0.1267,
      0.4408,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2358,
      0.0534,
      0.0819,
      0.0299,
      0.1003,
      0,
      0,
      0.1216,
      0.1782,
      0.0859,
      0.0081,
      0.0172,
      0.0236,
      0.015,
      0.0965,
      0,
      0.386,
      0.4182,
      0.2507,
      0.3555,
      0.2476,
      0.3987,
      0.4651,
      0.3843,
      0.6061,
      0.4945,
      0.4103,
      0.3293,
      0.4162,
      0.2593,
      0.362,
      0.162,
      0.1457,
      0.1837,
      0.3059,
      0.2348,
      0.4747,
      0.387,
      0.4234,
      0.3145,
      0.2369,
      0.2195,
      0.318,
      0.2411,
      0.4314,
      0.3311,
      0.4952,
      0.5427,
      0.4967,
      0.4236,
      0.517,
      0.4283,
      0.491,
      0.3632,
      0.233,
      0.3885,
      0.3511,
      0.2863,
      0.3667,
      0.4046,
      0.4826,
      0.5457,
      0.4882,
      0.3905,
      0.5151,
      0.3744,
      0.4553,
      0.3077,
      0.3628,
      0.4986,
      0.3104,
      0.3169,
      0.3994,
      0.613,
      0.5038,
      0.3958,
      0.4617,
      0.1723,
      0.5339,
      0.3247,
      0.1643,
      0.2114,
      0.3982,
      0.4352,
      0.2798,
      0.3981,
      0.3002,
      0.4119,
      0.3131,
      0.4381,
      0.2447,
      0.3994,
      0.3542,
      0.4432,
      0.4749,
      0.4831,
      0.5324,
      0.502,
      0.3902,
      0.5721,
      0.3337,
      0.4069,
      0.3728,
      0.2256,
      0.661,
      0.2834,
      0.434,
      0.4684,
      0.3739,
      0.4375,
      0.4797,
      0.492,
      0.4047,
      0.3745,
      0.3788,
      0.389,
      0.1913,
      0.2065,
      0.408,
      0.4148,
      0.2938,
      0.2987,
      0.5856,
      0.4775,
      0.4347,
      0.3028,
      0.5382,
      0.3567,
      0.4482,
      0.5639,
      0.2044,
      0.244,
      0.3687,
      0.1762,
      0.49,
      0.4556,
      0.4521,
      0.4304,
      0.1666,
      0.264,
      0.4504,
      0.3181,
      0.4644,
      0.2922,
      0.448,
      0.5075,
      0.5004,
      0.3227,
      0.5614,
      0.3422,
      0.4711,
      0.3793,
      0.2162,
      0.157,
      0.2625,
      0.3934,
      0.4309,
      0.403,
      0.5812,
      0.5272,
      0.5024,
      0.4446,
      0.3718,
      0.4483,
      0.1963,
      0.2771,
      0.2323,
      0.4241,
      0.3779,
      0.4282,
      0.3253,
      0.5612,
      0.5509,
      0.5244,
      0.3719,
      0.597,
      0.3028,
      0.1108,
      0.1567,
      0.3248,
      0.4169,
      0.4882,
      0.3673,
      0.4848,
      0.3466,
      0.4547,
      0.3678,
      0.4377,
      0.2396,
      0.411,
      0.4212,
      0.4615,
      0.5093,
      0.5014,
      0.4022,
      0.5429,
      0.374,
      0.5022,
      0.3381,
      0.4324,
      0.3544,
      0.2344,
      0.6397,
      0.3819,
      0.4157,
      0.4186,
      0.3725,
      0.4245,
      0.4951,
      0.4794,
      0.4215,
      0.3976,
      0.3455,
      0.1394,
      0.1001,
      0.2355,
      0.2515,
      0.284,
      0.3411,
      0.3125,
      0.1601,
      0.2214,
      0.1961,
      0.373,
      0.3207,
      0.3824,
      0.4412,
      0.6574,
      0.3977,
      0.3368,
      0.4009,
      0.1811,
      0.4881,
      0.3846,
      0.4984,
      0.3079,
      0.3638,
      0.231,
      0.3318,
      0.3741,
      0.4906,
      0.4868,
      0.5011,
      0.4906,
      0.5114,
      0.3226,
      0.5198,
      0.3356,
      0.4238,
      0.2528,
      0.2874,
      0.638,
      0.3316,
      0.4471,
      0.3937,
      0.4101,
      0.4044,
      0.4489,
      0.49,
      0.4579,
      0.3569,
      0.3826,
      0.2839,
      0.4502,
      0.3985,
      0.2991,
      0.2489,
      0.3842,
      0.3863,
      0.5923,
      0.5163,
      0.5798,
      0.2955,
      0.3488,
      0.1507,
      0.3061,
      0.5298,
      0.3791,
      0.1423,
      0.1088,
      0.1342,
      0.0521,
      0.0957,
      0.2054,
      0.236,
      0.1742,
      0.1222,
      0.1214,
      0.2531,
      0.2614,
      0.292,
      0.4026,
      0.1119,
      0.5106,
      0.0795,
      0,
      0,
      0,
      0,
      0,
      0.1831,
      0.0531,
      0.091,
      0,
      0.1061,
      0,
      0,
      0.0718,
      0.0886,
      0.0792,
      0,
      0.0759,
      0.0268,
      0.0563,
      0.0699,
      0.1002,
      0.4202,
      0.3747,
      0.2065,
      0.3878,
      0.207,
      0.4415,
      0.3978,
      0.3628,
      0.5618,
      0.4321,
      0.3955,
      0.386,
      0.4597,
      0.1801,
      0.4241,
      0.0561,
      0.1949,
      0.2324,
      0.3435,
      0.2786,
      0.526,
      0.4497,
      0.5446,
      0.3886,
      0.1965,
      0.2027,
      0.311,
      0.1574,
      0.4233,
      0.2277,
      0.5702,
      0.4966,
      0.5046,
      0.4457,
      0.4905,
      0.4968,
      0.4984,
      0.3452,
      0.1771,
      0.3359,
      0.2498,
      0.2832,
      0.3594,
      0.4543,
      0.504,
      0.5675,
      0.4547,
      0.3876,
      0.4603,
      0.455,
      0.3259,
      0.2772,
      0.3194,
      0.4658,
      0.334,
      0.2766,
      0.4959,
      0.5595,
      0.4539,
      0.4311,
      0.4027,
      0.292,
      0.5207,
      0.3707,
      0.2002,
      0.1824,
      0.3956,
      0.4019,
      0.3501,
      0.4825,
      0.6012,
      0.37,
      0.3697,
      0.3588,
      0.2756,
      0.3697,
      0.4143,
      0.4054,
      0.4375,
      0.4752,
      0.4675,
      0.4672,
      0.3966,
      0.5487,
      0.3309,
      0.3713,
      0.4288,
      0.2288,
      0.6182,
      0.2478,
      0.4858,
      0.4624,
      0.3802,
      0.4118,
      0.5331,
      0.4731,
      0.4313,
      0.3584,
      0.3657,
      0.3017,
      0.1648,
      0.1299,
      0.3433,
      0.4398,
      0.3144,
      0.2745,
      0.5282,
      0.4339,
      0.4594,
      0.333,
      0.528,
      0.3162,
      0.4615,
      0.5664,
      0.1696,
      0.2094,
      0.4044,
      0.2021,
      0.4696,
      0.6132,
      0.4907,
      0.3869,
      0.2573,
      0.3009,
      0.445,
      0.2917,
      0.3698,
      0.2235,
      0.4366,
      0.4297,
      0.5145,
      0.3035,
      0.5372,
      0.315,
      0.5071,
      0.3643,
      0.1937,
      0.12,
      0.2447,
      0.3236,
      0.4718,
      0.3806,
      0.6101,
      0.5136,
      0.4961,
      0.451,
      0.3885,
      0.4424,
      0.2749,
      0.2205,
      0.2375,
      0.4673,
      0.4297,
      0.3637,
      0.1553,
      0.5679,
      0.5512,
      0.5214,
      0.3486,
      0.599,
      0.3283,
      0.1436,
      0.1573,
      0.3284,
      0.4172,
      0.4667,
      0.3288,
      0.4913,
      0.6124,
      0.5189,
      0.4025,
      0.4007,
      0.2732,
      0.4163,
      0.4222,
      0.3966,
      0.4893,
      0.4908,
      0.414,
      0.4764,
      0.3758,
      0.4979,
      0.35,
      0.4254,
      0.4017,
      0.2357,
      0.5522,
      0.3164,
      0.4482,
      0.3515,
      0.421,
      0.4398,
      0.5532,
      0.4456,
      0.5189,
      0.3528,
      0.2768,
      0.0904,
      0.058,
      0.2206,
      0.1698,
      0.2722,
      0.3004,
      0.2738,
      0.1395,
      0.3085,
      0.1862,
      0.3536,
      0.2814,
      0.3605,
      0.4711,
      0.641,
      0.365,
      0.2369,
      0.4179,
      0.1259,
      0.5419,
      0.3444,
      0.5507,
      0.3254,
      0.3181,
      0.2711,
      0.3571,
      0.3978,
      0.4439,
      0.4726,
      0.5076,
      0.4666,
      0.3933,
      0.3653,
      0.5427,
      0.4029,
      0.414,
      0.358,
      0.2355,
      0.5908,
      0.2097,
      0.4378,
      0.3768,
      0.4117,
      0.3808,
      0.5256,
      0.4598,
      0.4902,
      0.3914,
      0.3613,
      0.3143,
      0.4552,
      0.389,
      0.3732,
      0.2427,
      0.2891,
      0.3678,
      0.5389,
      0.4343,
      0.5924,
      0.2602,
      0.3628,
      0.1293,
      0.3116,
      0.5549,
      0.3279,
      0.1608,
      0.0917,
      0.0565,
      0.1425,
      0.1368,
      0.2012,
      0.2255,
      0.129,
      0.1981,
      0.1645,
      0.2033,
      0.2894,
      0.1883,
      0.4359,
      0.0322,
      0.4702,
      0.0124,
      0,
      0,
      0,
      0,
      0,
      0.1123,
      0.1326,
      0.1651,
      0.0634,
      0.107,
      0.0233,
      0,
      0.0851,
      0.1115,
      0.057,
      0.0428,
      0.0856,
      0.0091,
      0,
      0.0972,
      0,
      0.4051,
      0.2796,
      0.1766,
      0.3012,
      0.3395,
      0.5115,
      0.4098,
      0.3288,
      0.5705,
      0.4789,
      0.4164,
      0.384,
      0.4443,
      0.3123,
      0.4269,
      0.1083,
      0.1284,
      0.2869,
      0.3584,
      0.24,
      0.4211,
      0.5539,
      0.4043,
      0.3333,
      0.2366,
      0.0992,
      0.3273,
      0.2778,
      0.3777,
      0.2955,
      0.4788,
      0.4021,
      0.5178,
      0.4071,
      0.5303,
      0.4647,
      0.468,
      0.3823,
      0.1315,
      0.3423,
      0.2722,
      0.22,
      0.4041,
      0.4077,
      0.4876,
      0.5285,
      0.4839,
      0.3552,
      0.4001,
      0.4711,
      0.3226,
      0.1708,
      0.3184,
      0.4965,
      0.3571,
      0.2965,
      0.4631,
      0.5642,
      0.4614,
      0.356,
      0.4432,
      0.2952,
      0.4586,
      0.2411,
      0.2329,
      0.2429,
      0.3754,
      0.3789,
      0.3449,
      0.4426,
      0.4171,
      0.4276,
      0.3666,
      0.3927,
      0.327,
      0.4308,
      0.3638,
      0.3821,
      0.4599,
      0.4633,
      0.4656,
      0.5152,
      0.3497,
      0.5353,
      0.2617,
      0.4458,
      0.4613,
      0.1203,
      0.5636,
      0.2958,
      0.4515,
      0.4065,
      0.3924,
      0.4753,
      0.4561,
      0.4976,
      0.3746,
      0.3571,
      0.3199,
      0.3824,
      0.1759,
      0.1629,
      0.3867,
      0.3205,
      0.2458,
      0.3081,
      0.5211,
      0.508,
      0.4294,
      0.3683,
      0.5072,
      0.3248,
      0.4145,
      0.4793,
      0.0819,
      0.2319,
      0.4109,
      0.1683,
      0.3961,
      0.5337,
      0.4668,
      0.3581,
      0.1975,
      0.2749,
      0.3828,
      0.2839,
      0.4004,
      0.0832,
      0.4497,
      0.4176,
      0.5589,
      0.3512,
      0.5994,
      0.4222,
      0.5308,
      0.2813,
      0.2431,
      0.1321,
      0.1624,
      0.3439,
      0.442,
      0.3513,
      0.5299,
      0.5117,
      0.4985,
      0.4613,
      0.3313,
      0.4314,
      0.2451,
      0.2786,
      0.1955,
      0.3997,
      0.3746,
      0.3959,
      0.265,
      0.5873,
      0.5959,
      0.4641,
      0.3495,
      0.6108,
      0.3341,
      0.1427,
      0.1945,
      0.3399,
      0.3742,
      0.4475,
      0.3292,
      0.4449,
      0.4316,
      0.3688,
      0.3384,
      0.3883,
      0.2041,
      0.4413,
      0.4132,
      0.4029,
      0.5258,
      0.5005,
      0.4126,
      0.5173,
      0.4051,
      0.5546,
      0.3253,
      0.4643,
      0.4237,
      0.1765,
      0.5222,
      0.3623,
      0.4306,
      0.4088,
      0.4108,
      0.4993,
      0.4723,
      0.4877,
      0.4433,
      0.3458,
      0.2255,
      0.0948,
      0.1483,
      0.272,
      0.2059,
      0.2251,
      0.2866,
      0.3042,
      0.1843,
      0.2024,
      0.2639,
      0.3481,
      0.3434,
      0.3195,
      0.4144,
      0.5543,
      0.2111,
      0.2383,
      0.3755,
      0.2392,
      0.4937,
      0.3975,
      0.4522,
      0.2418,
      0.3434,
      0.1982,
      0.4129,
      0.3682,
      0.4388,
      0.3358,
      0.5066,
      0.5024,
      0.518,
      0.3852,
      0.5561,
      0.309,
      0.4121,
      0.4285,
      0.2173,
      0.5789,
      0.3409,
      0.4622,
      0.3459,
      0.4052,
      0.4555,
      0.4511,
      0.4643,
      0.4557,
      0.3302,
      0.3821,
      0.4419,
      0.4216,
      0.367,
      0.3994,
      0.2702,
      0.3211,
      0.3333,
      0.5361,
      0.4886,
      0.5373,
      0.2685,
      0.3574,
      0.1199,
      0.3535,
      0.5088,
      0.3941,
      0.1256,
      0.0669,
      0.0566,
      0.1505,
      0.112,
      0.1289,
      0.2467,
      0.055,
      0.1201,
      0.1285,
      0.1322,
      0.3375,
      0.2135,
      0.4842,
      0.134,
      0.4816,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2081,
      0.1371,
      0.1105,
      0.1811,
      0.0535,
      0.1115,
      0.1539,
      0.0747,
      0.0445,
      0.0992,
      0.0653,
      0.0973,
      0.0241,
      0.0218,
      0.1107,
      0.0193,
      0.384,
      0.2594,
      0.2519,
      0.3141,
      0.3015,
      0.339,
      0.4055,
      0.3208,
      0.5612,
      0.4409,
      0.4289,
      0.3464,
      0.4524,
      0.3282,
      0.2869,
      0.1972,
      0.0296,
      0.1765,
      0.363,
      0.2452,
      0.4123,
      0.4476,
      0.3533,
      0.4208,
      0.1715,
      0.1778,
      0.3317,
      0.2455,
      0.4361,
      0.2667,
      0.5131,
      0.4924,
      0.5451,
      0.3806,
      0.5767,
      0.4285,
      0.4395,
      0.3428,
      0.1863,
      0.3027,
      0.3301,
      0.2865,
      0.3861,
      0.3781,
      0.5313,
      0.4892,
      0.5131,
      0.301,
      0.4041,
      0.4507,
      0.2904,
      0.2226,
      0.2603,
      0.4678,
      0.3484,
      0.3127,
      0.3326,
      0.5632,
      0.4304,
      0.3647,
      0.3872,
      0.2873,
      0.5166,
      0.2815,
      0.2644,
      0.1917,
      0.3232,
      0.4079,
      0.376,
      0.3763,
      0.2574,
      0.3391,
      0.3514,
      0.3847,
      0.3277,
      0.3638,
      0.398,
      0.4094,
      0.5096,
      0.5149,
      0.445,
      0.4929,
      0.3403,
      0.5682,
      0.354,
      0.4276,
      0.4541,
      0.216,
      0.6203,
      0.3153,
      0.4434,
      0.4783,
      0.4196,
      0.4915,
      0.3528,
      0.4077,
      0.3842,
      0.3479,
      0.3243,
      0.3521,
      0.2574,
      0.2857,
      0.3806,
      0.2872,
      0.3258,
      0.2602,
      0.5261,
      0.3837,
      0.4664,
      0.3377,
      0.5177,
      0.4117,
      0.4168,
      0.5717,
      0.0847,
      0.3434,
      0.4276,
      0.1671,
      0.3545,
      0.4729,
      0.4364,
      0.3612,
      0.1785,
      0.2161,
      0.2741,
      0.2495,
      0.3975,
      0.234,
      0.4941,
      0.434,
      0.5706,
      0.2951,
      0.5876,
      0.3862,
      0.507,
      0.3394,
      0.1599,
      0.1745,
      0.2161,
      0.3887,
      0.4529,
      0.2952,
      0.6076,
      0.436,
      0.474,
      0.4665,
      0.3776,
      0.3849,
      0.175,
      0.2066,
      0.2586,
      0.414,
      0.3427,
      0.3315,
      0.2593,
      0.6071,
      0.4933,
      0.4623,
      0.4205,
      0.6074,
      0.3549,
      0.1625,
      0.1481,
      0.2899,
      0.3532,
      0.4164,
      0.3434,
      0.3912,
      0.2577,
      0.4041,
      0.3718,
      0.4239,
      0.2762,
      0.3287,
      0.4106,
      0.464,
      0.5863,
      0.5411,
      0.4015,
      0.5412,
      0.3893,
      0.5282,
      0.4008,
      0.4561,
      0.4356,
      0.2429,
      0.5799,
      0.2746,
      0.4237,
      0.4661,
      0.4137,
      0.4833,
      0.4611,
      0.48,
      0.3678,
      0.3145,
      0.2728,
      0.1806,
      0.2061,
      0.3194,
      0.1633,
      0.2118,
      0.2552,
      0.2905,
      0.2023,
      0.1252,
      0.2558,
      0.3931,
      0.2778,
      0.3881,
      0.3382,
      0.668,
      0.2669,
      0.3351,
      0.2728,
      0.2797,
      0.3908,
      0.4396,
      0.3631,
      0.3166,
      0.3344,
      0.3365,
      0.3922,
      0.3276,
      0.4101,
      0.3846,
      0.4954,
      0.4572,
      0.5316,
      0.338,
      0.5567,
      0.3218,
      0.3425,
      0.471,
      0.2853,
      0.6037,
      0.271,
      0.432,
      0.3099,
      0.4391,
      0.4823,
      0.4375,
      0.4939,
      0.3791,
      0.3934,
      0.3538,
      0.3794,
      0.444,
      0.4094,
      0.3553,
      0.2832,
      0.3921,
      0.4172,
      0.5485,
      0.4266,
      0.5377,
      0.3351,
      0.3095,
      0.0967,
      0.3677,
      0.483,
      0.3531,
      0.1186,
      0.0813,
      0,
      0.1639,
      0.1313,
      0.0959,
      0.252,
      0.0378,
      0.1378,
      0.1376,
      0.0317,
      0.1835,
      0.1772,
      0.4181,
      0.1615,
      0.4277,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1539,
      0.0968,
      0.1227,
      0,
      0.1015,
      0.0032,
      0.0532,
      0.0145,
      0.0652,
      0.0696,
      0.0742,
      0.0813,
      0.0396,
      0.0295,
      0.1334,
      0.012,
      0.3819,
      0.3356,
      0.3918,
      0.4444,
      0.3234,
      0.2905,
      0.3737,
      0.3101,
      0.5526,
      0.4891,
      0.412,
      0.3599,
      0.3756,
      0.1648,
      0.2727,
      0.3246,
      0.1453,
      0.2788,
      0.3324,
      0.3123,
      0.4517,
      0.4701,
      0.4246,
      0.4002,
      0.1712,
      0.2602,
      0.338,
      0.2275,
      0.4701,
      0.2657,
      0.5294,
      0.378,
      0.5174,
      0.4127,
      0.5692,
      0.5161,
      0.4501,
      0.424,
      0.2643,
      0.3535,
      0.1797,
      0.2443,
      0.2975,
      0.3074,
      0.4458,
      0.5087,
      0.4676,
      0.3968,
      0.4563,
      0.4283,
      0.3027,
      0.2222,
      0.2425,
      0.4421,
      0.2612,
      0.2333,
      0.3315,
      0.5322,
      0.4788,
      0.3283,
      0.3524,
      0.2561,
      0.4845,
      0.2663,
      0.2618,
      0.1913,
      0.2676,
      0.42,
      0.3278,
      0.4314,
      0.2896,
      0.4407,
      0.3586,
      0.3898,
      0.1947,
      0.2933,
      0.3123,
      0.3726,
      0.5707,
      0.4655,
      0.4534,
      0.4892,
      0.3617,
      0.5602,
      0.4329,
      0.3501,
      0.5098,
      0.2466,
      0.5943,
      0.2963,
      0.4011,
      0.2945,
      0.2739,
      0.4389,
      0.4767,
      0.4792,
      0.406,
      0.3978,
      0.4222,
      0.2884,
      0.2363,
      0.2769,
      0.3992,
      0.257,
      0.3062,
      0.3209,
      0.4951,
      0.4365,
      0.435,
      0.3981,
      0.5133,
      0.5151,
      0.4043,
      0.5076,
      0.2062,
      0.3679,
      0.4583,
      0.2519,
      0.4456,
      0.4602,
      0.4879,
      0.2991,
      0.2927,
      0.194,
      0.2671,
      0.213,
      0.4898,
      0.2861,
      0.5019,
      0.3751,
      0.5939,
      0.3015,
      0.5632,
      0.3668,
      0.4176,
      0.3627,
      0.2206,
      0.1743,
      0.2232,
      0.3649,
      0.4657,
      0.2762,
      0.6357,
      0.3469,
      0.5083,
      0.473,
      0.392,
      0.3633,
      0.3354,
      0.2835,
      0.2025,
      0.4666,
      0.2851,
      0.3743,
      0.2603,
      0.5975,
      0.5758,
      0.4657,
      0.4874,
      0.6164,
      0.2732,
      0.3192,
      0.2612,
      0.2988,
      0.2562,
      0.4866,
      0.3348,
      0.2869,
      0.2574,
      0.472,
      0.3474,
      0.3863,
      0.2725,
      0.4062,
      0.269,
      0.3504,
      0.5818,
      0.5055,
      0.4393,
      0.5491,
      0.3273,
      0.4994,
      0.4092,
      0.3254,
      0.4717,
      0.2629,
      0.5372,
      0.2895,
      0.3995,
      0.4136,
      0.3114,
      0.447,
      0.4648,
      0.4501,
      0.4363,
      0.387,
      0.3323,
      0.1352,
      0.1842,
      0.2891,
      0.1983,
      0.2505,
      0.2269,
      0.2689,
      0.1672,
      0.2074,
      0.2237,
      0.3748,
      0.2888,
      0.3506,
      0.1856,
      0.6165,
      0.2193,
      0.2722,
      0.379,
      0.3044,
      0.3825,
      0.4543,
      0.4422,
      0.2985,
      0.3631,
      0.2675,
      0.33,
      0.3194,
      0.486,
      0.4424,
      0.441,
      0.3704,
      0.5337,
      0.3707,
      0.4856,
      0.4499,
      0.2603,
      0.4609,
      0.285,
      0.5251,
      0.3477,
      0.4092,
      0.3344,
      0.4138,
      0.4535,
      0.4272,
      0.5262,
      0.46,
      0.3673,
      0.375,
      0.3818,
      0.338,
      0.3114,
      0.3942,
      0.2819,
      0.3151,
      0.4148,
      0.5214,
      0.4349,
      0.5656,
      0.3725,
      0.4056,
      0.115,
      0.343,
      0.4975,
      0.2723,
      0.1886,
      0.1318,
      0.0878,
      0.1713,
      0.1332,
      0.1889,
      0.2445,
      0,
      0.1347,
      0.1804,
      0.0366,
      0.3899,
      0.0924,
      0.5036,
      0.0845,
      0.5203,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2149,
      0.1378,
      0.1631,
      0.1269,
      0.0963,
      0.0459,
      0.0717,
      0.0005,
      0.068,
      0.1024,
      0.0953,
      0.0492,
      0.1001,
      0.0623,
      0.0845,
      0.034,
      0.4078,
      0.4522,
      0.4533,
      0.3989,
      0.308,
      0.3525,
      0.3935,
      0.3232,
      0.6018,
      0.5364,
      0.5028,
      0.442,
      0.4546,
      0.2521,
      0.2956,
      0.313,
      0.2118,
      0.5394,
      0.3283,
      0.3871,
      0.3768,
      0.4556,
      0.3953,
      0.3628,
      0.1938,
      0.2858,
      0.3225,
      0.2064,
      0.4916,
      0.2077,
      0.5041,
      0.4297,
      0.5057,
      0.4607,
      0.5306,
      0.4682,
      0.516,
      0.4119,
      0.2456,
      0.3488,
      0.2296,
      0.2806,
      0.3552,
      0.3401,
      0.4922,
      0.521,
      0.4575,
      0.4752,
      0.4008,
      0.4899,
      0.4152,
      0.2931,
      0.4275,
      0.5217,
      0.2685,
      0.263,
      0.2949,
      0.5608,
      0.4948,
      0.4121,
      0.4067,
      0.1748,
      0.4013,
      0.3701,
      0.2951,
      0.1849,
      0.4171,
      0.4447,
      0.3853,
      0.4486,
      0.254,
      0.3932,
      0.3957,
      0.4379,
      0.2721,
      0.4174,
      0.3394,
      0.3693,
      0.5804,
      0.4574,
      0.4697,
      0.529,
      0.3979,
      0.5588,
      0.4285,
      0.4016,
      0.4996,
      0.2605,
      0.5656,
      0.3806,
      0.4161,
      0.4527,
      0.3275,
      0.5133,
      0.4675,
      0.5111,
      0.3806,
      0.4083,
      0.4182,
      0.3484,
      0.2404,
      0.238,
      0.4809,
      0.3273,
      0.2591,
      0.2951,
      0.5122,
      0.5315,
      0.4015,
      0.4072,
      0.4812,
      0.5121,
      0.4438,
      0.524,
      0.2967,
      0.3774,
      0.4718,
      0.3097,
      0.4416,
      0.5386,
      0.4408,
      0.2559,
      0.1774,
      0.2439,
      0.4233,
      0.2851,
      0.4826,
      0.2316,
      0.501,
      0.4482,
      0.5499,
      0.3627,
      0.526,
      0.4288,
      0.4989,
      0.3827,
      0.2034,
      0.157,
      0.2111,
      0.295,
      0.5417,
      0.2858,
      0.5147,
      0.5269,
      0.4954,
      0.3655,
      0.4431,
      0.4144,
      0.4082,
      0.1621,
      0.2276,
      0.3986,
      0.2646,
      0.3252,
      0.2885,
      0.5579,
      0.6004,
      0.4816,
      0.4169,
      0.5816,
      0.3163,
      0.1873,
      0.3297,
      0.3168,
      0.3997,
      0.4355,
      0.3718,
      0.4111,
      0.252,
      0.3537,
      0.3697,
      0.4198,
      0.2418,
      0.3742,
      0.3566,
      0.3365,
      0.5866,
      0.5253,
      0.4323,
      0.5292,
      0.4079,
      0.5057,
      0.4306,
      0.4094,
      0.4621,
      0.3173,
      0.5182,
      0.368,
      0.3769,
      0.4502,
      0.3514,
      0.4723,
      0.4935,
      0.4914,
      0.4447,
      0.3957,
      0.343,
      0.0708,
      0.0595,
      0.2874,
      0.1429,
      0.2579,
      0.3112,
      0.2422,
      0.1034,
      0.3196,
      0.2455,
      0.3798,
      0.2247,
      0.3893,
      0.3278,
      0.6543,
      0.2242,
      0.319,
      0.4058,
      0.1975,
      0.4213,
      0.3791,
      0.4152,
      0.3089,
      0.3329,
      0.2871,
      0.2813,
      0.3753,
      0.5144,
      0.3872,
      0.4973,
      0.5075,
      0.5282,
      0.3411,
      0.5031,
      0.3967,
      0.3819,
      0.4743,
      0.3093,
      0.5017,
      0.2884,
      0.4162,
      0.3843,
      0.4192,
      0.4045,
      0.4323,
      0.5271,
      0.4448,
      0.3422,
      0.4306,
      0.3886,
      0.397,
      0.3455,
      0.479,
      0.3096,
      0.2846,
      0.4452,
      0.5474,
      0.4911,
      0.486,
      0.3389,
      0.4868,
      0.1601,
      0.39,
      0.5128,
      0.3676,
      0.2676,
      0.1705,
      0.2393,
      0.1814,
      0.2239,
      0.2475,
      0.2739,
      0.0835,
      0.1422,
      0.1566,
      0.0206,
      0.3664,
      0.1731,
      0.4255,
      0.2244,
      0.4926,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1498,
      0.0887,
      0.1335,
      0.1124,
      0.1199,
      0.1302,
      0.1399,
      0.0421,
      0.1286,
      0.0642,
      0.0077,
      0.0838,
      0.0789,
      0.0409,
      0.0109,
      0.0786,
      0.3068,
      0.472,
      0.3126,
      0.1944,
      0.247,
      0.4231,
      0.3768,
      0.3529,
      0.5632,
      0.5145,
      0.5177,
      0.4302,
      0.4514,
      0.2494,
      0.279,
      0.1749,
      0.1843,
      0.4154,
      0.3864,
      0.2035,
      0.428,
      0.4093,
      0.4708,
      0.3397,
      0.2466,
      0.3431,
      0.2876,
      0.237,
      0.3976,
      0.2877,
      0.5319,
      0.43,
      0.4949,
      0.4227,
      0.5164,
      0.5373,
      0.4862,
      0.3115,
      0.1909,
      0.2627,
      0.3268,
      0.2685,
      0.2951,
      0.3724,
      0.5012,
      0.4526,
      0.467,
      0.4167,
      0.3795,
      0.492,
      0.3566,
      0.3013,
      0.4384,
      0.4969,
      0.3438,
      0.3129,
      0.285,
      0.5358,
      0.4665,
      0.4109,
      0.4076,
      0.2105,
      0.4582,
      0.2751,
      0.1022,
      0.2169,
      0.3338,
      0.4298,
      0.3735,
      0.4018,
      0.275,
      0.4501,
      0.4163,
      0.4198,
      0.3563,
      0.4051,
      0.3324,
      0.4165,
      0.5776,
      0.5105,
      0.4183,
      0.496,
      0.316,
      0.4913,
      0.4782,
      0.4682,
      0.4791,
      0.2648,
      0.5149,
      0.4304,
      0.3708,
      0.377,
      0.3698,
      0.4433,
      0.5111,
      0.5217,
      0.4415,
      0.425,
      0.4324,
      0.3229,
      0.3313,
      0.2196,
      0.4472,
      0.3541,
      0.3523,
      0.3267,
      0.5027,
      0.4813,
      0.4471,
      0.3894,
      0.4848,
      0.4715,
      0.4086,
      0.5781,
      0.1944,
      0.3264,
      0.4475,
      0.3019,
      0.4626,
      0.5579,
      0.4986,
      0.4382,
      0.3292,
      0.3901,
      0.4824,
      0.4013,
      0.5029,
      0.2485,
      0.499,
      0.3974,
      0.5321,
      0.2547,
      0.5539,
      0.4436,
      0.4947,
      0.386,
      0.2184,
      0.1659,
      0.1943,
      0.3537,
      0.4394,
      0.3678,
      0.5717,
      0.5553,
      0.5257,
      0.2894,
      0.4224,
      0.4545,
      0.2208,
      0.2286,
      0.2211,
      0.4622,
      0.352,
      0.3564,
      0.2767,
      0.5906,
      0.5535,
      0.5012,
      0.4085,
      0.6666,
      0.31,
      0.1324,
      0.1315,
      0.274,
      0.3529,
      0.4161,
      0.3866,
      0.4789,
      0.2598,
      0.4652,
      0.3797,
      0.444,
      0.3394,
      0.4494,
      0.4166,
      0.4547,
      0.5751,
      0.5299,
      0.4712,
      0.5607,
      0.3764,
      0.4652,
      0.4613,
      0.4027,
      0.4794,
      0.2948,
      0.5048,
      0.4016,
      0.3789,
      0.4434,
      0.3841,
      0.4947,
      0.4442,
      0.4938,
      0.4512,
      0.3894,
      0.3215,
      0.1193,
      0.0912,
      0.3381,
      0.1936,
      0.1542,
      0.2829,
      0.2371,
      0.178,
      0.3589,
      0.2713,
      0.4184,
      0.2465,
      0.3837,
      0.2849,
      0.5498,
      0.2554,
      0.2712,
      0.4286,
      0.2211,
      0.478,
      0.3821,
      0.4217,
      0.2978,
      0.354,
      0.3072,
      0.2935,
      0.455,
      0.4022,
      0.4375,
      0.4877,
      0.4725,
      0.5416,
      0.3113,
      0.4353,
      0.4623,
      0.4211,
      0.473,
      0.3043,
      0.5788,
      0.4288,
      0.3429,
      0.3469,
      0.4103,
      0.4672,
      0.4378,
      0.4768,
      0.4381,
      0.3745,
      0.4247,
      0.3109,
      0.4171,
      0.3848,
      0.4105,
      0.3481,
      0.4037,
      0.4377,
      0.4699,
      0.4997,
      0.5179,
      0.3744,
      0.5039,
      0.108,
      0.3391,
      0.5079,
      0.3468,
      0.2996,
      0.1317,
      0.1519,
      0.148,
      0.1401,
      0.2212,
      0.2038,
      0.0674,
      0.1284,
      0.1408,
      0.1061,
      0.32,
      0.0717,
      0.4386,
      0.2309,
      0.4949,
      0,
      0,
      0,
      0,
      0,
      0,
      0.126,
      0.1292,
      0.0722,
      0.0237,
      0.0054,
      0,
      0.0491,
      0.1645,
      0.0972,
      0.225,
      0.2287,
      0.1642,
      0.2012,
      0.255,
      0.2191,
      0.2242,
      0.316,
      0.2667,
      0.2477,
      0.2876,
      0.31,
      0.4556,
      0.4081,
      0.4325,
      0.5342,
      0.4425,
      0.4895,
      0.4274,
      0.4665,
      0.2548,
      0.4104,
      0.1507,
      0.1878,
      0.3167,
      0.4184,
      0.1912,
      0.5305,
      0.4827,
      0.5083,
      0.4091,
      0.2875,
      0.2688,
      0.3139,
      0.3169,
      0.4034,
      0.2303,
      0.5186,
      0.378,
      0.5293,
      0.4339,
      0.5106,
      0.5302,
      0.4777,
      0.3737,
      0.1998,
      0.3403,
      0.2957,
      0.2734,
      0.3645,
      0.4201,
      0.4018,
      0.5161,
      0.448,
      0.4096,
      0.381,
      0.4835,
      0.3713,
      0.3359,
      0.3892,
      0.5454,
      0.3604,
      0.2323,
      0.4104,
      0.4755,
      0.4716,
      0.3988,
      0.474,
      0.2372,
      0.4879,
      0.3521,
      0.2041,
      0.2797,
      0.3416,
      0.4342,
      0.2851,
      0.4812,
      0.2255,
      0.4978,
      0.2911,
      0.4035,
      0.3165,
      0.3824,
      0.3252,
      0.4019,
      0.5393,
      0.4837,
      0.3957,
      0.5186,
      0.3949,
      0.5436,
      0.3923,
      0.4485,
      0.4883,
      0.2591,
      0.4498,
      0.3836,
      0.4185,
      0.3364,
      0.366,
      0.3866,
      0.5493,
      0.3963,
      0.4974,
      0.3647,
      0.2937,
      0.3476,
      0.2498,
      0.2579,
      0.4873,
      0.4434,
      0.2666,
      0.2744,
      0.4882,
      0.5275,
      0.4507,
      0.3811,
      0.5038,
      0.375,
      0.3712,
      0.5905,
      0.107,
      0.3344,
      0.4218,
      0.2474,
      0.5319,
      0.5678,
      0.5342,
      0.5665,
      0.2728,
      0.2617,
      0.5066,
      0.338,
      0.4526,
      0.2291,
      0.4879,
      0.3793,
      0.5199,
      0.2057,
      0.5407,
      0.4167,
      0.4705,
      0.4072,
      0.1862,
      0.1731,
      0.2528,
      0.3613,
      0.4073,
      0.3436,
      0.6065,
      0.5207,
      0.4594,
      0.42,
      0.3981,
      0.4278,
      0.1084,
      0.1926,
      0.1001,
      0.4176,
      0.2924,
      0.323,
      0.2532,
      0.5896,
      0.5594,
      0.4089,
      0.4138,
      0.6411,
      0.2654,
      0.2306,
      0.1717,
      0.305,
      0.3762,
      0.447,
      0.3581,
      0.5211,
      0.2285,
      0.5164,
      0.39,
      0.4755,
      0.3716,
      0.4386,
      0.3459,
      0.4346,
      0.5435,
      0.4686,
      0.4147,
      0.5725,
      0.3304,
      0.4853,
      0.4441,
      0.4386,
      0.4839,
      0.267,
      0.5479,
      0.4267,
      0.3856,
      0.4387,
      0.3709,
      0.4048,
      0.5316,
      0.4671,
      0.5394,
      0.3495,
      0.3279,
      0.03,
      0.0391,
      0.3552,
      0.2277,
      0.2985,
      0.2775,
      0.2612,
      0.2789,
      0.3384,
      0.3001,
      0.3645,
      0.3032,
      0.363,
      0.3551,
      0.6154,
      0.2936,
      0.2721,
      0.491,
      0.1497,
      0.5331,
      0.4211,
      0.5299,
      0.3685,
      0.4045,
      0.3067,
      0.3414,
      0.3442,
      0.4335,
      0.3798,
      0.4944,
      0.3566,
      0.5664,
      0.2996,
      0.5244,
      0.3864,
      0.4232,
      0.4785,
      0.2178,
      0.5356,
      0.3931,
      0.4257,
      0.3922,
      0.384,
      0.4583,
      0.5203,
      0.4751,
      0.5153,
      0.3641,
      0.457,
      0.3298,
      0.4408,
      0.3916,
      0.3522,
      0.3487,
      0.3657,
      0.3564,
      0.4574,
      0.4598,
      0.4628,
      0.3558,
      0.5008,
      0.1159,
      0.3523,
      0.5079,
      0.3265,
      0.2749,
      0.0742,
      0.1027,
      0.088,
      0.0919,
      0.2262,
      0.2507,
      0.099,
      0.1042,
      0.1782,
      0.1674,
      0.3154,
      0.1222,
      0.391,
      0.1403,
      0.4296,
      0.0102,
      0,
      0,
      0,
      0,
      0,
      0.2291,
      0.1568,
      0.108,
      0.0148,
      0.1141,
      0.062,
      0.0711,
      0.0585,
      0.1154,
      0.0652,
      0.0696,
      0.009,
      0.0396,
      0.0415,
      0.0082,
      0.0907,
      0.3765,
      0.3014,
      0.2232,
      0.3104,
      0.2748,
      0.4734,
      0.3793,
      0.4125,
      0.4746,
      0.4741,
      0.4432,
      0.4259,
      0.4546,
      0.2433,
      0.3179,
      0.1402,
      0.1892,
      0.2458,
      0.4253,
      0.2199,
      0.5151,
      0.5207,
      0.5205,
      0.3109,
      0.2566,
      0.1815,
      0.2859,
      0.1422,
      0.4208,
      0.2098,
      0.4658,
      0.4048,
      0.489,
      0.3667,
      0.526,
      0.5622,
      0.4707,
      0.3412,
      0.1935,
      0.3094,
      0.2343,
      0.2602,
      0.4003,
      0.3844,
      0.4896,
      0.6325,
      0.4871,
      0.3707,
      0.4682,
      0.462,
      0.307,
      0.2835,
      0.3799,
      0.5259,
      0.3119,
      0.1702,
      0.4152,
      0.4759,
      0.4829,
      0.4153,
      0.3427,
      0.2928,
      0.4149,
      0.2667,
      0.1559,
      0.2073,
      0.4073,
      0.4266,
      0.2789,
      0.4913,
      0.2253,
      0.4835,
      0.4201,
      0.374,
      0.3294,
      0.3578,
      0.3236,
      0.384,
      0.4873,
      0.5198,
      0.4616,
      0.5364,
      0.3677,
      0.5145,
      0.4061,
      0.3887,
      0.4746,
      0.2075,
      0.6159,
      0.2994,
      0.3969,
      0.4366,
      0.43,
      0.4857,
      0.5728,
      0.5012,
      0.5023,
      0.431,
      0.3015,
      0.3758,
      0.3048,
      0.1301,
      0.4601,
      0.3857,
      0.2371,
      0.3131,
      0.3291,
      0.4898,
      0.4152,
      0.3944,
      0.5009,
      0.4508,
      0.3778,
      0.579,
      0.2144,
      0.3017,
      0.3967,
      0.2505,
      0.5097,
      0.5824,
      0.5572,
      0.4854,
      0.1886,
      0.2677,
      0.4809,
      0.269,
      0.4,
      0.1757,
      0.4333,
      0.4448,
      0.4966,
      0.2902,
      0.5289,
      0.3618,
      0.5166,
      0.3879,
      0.1596,
      0.1484,
      0.172,
      0.3962,
      0.4367,
      0.3157,
      0.545,
      0.5082,
      0.516,
      0.3805,
      0.3952,
      0.4206,
      0.2675,
      0.2195,
      0.1638,
      0.3986,
      0.3978,
      0.3142,
      0.3039,
      0.6356,
      0.5225,
      0.4615,
      0.3934,
      0.5789,
      0.224,
      0.2638,
      0.1761,
      0.3321,
      0.335,
      0.4246,
      0.3579,
      0.483,
      0.2466,
      0.5339,
      0.3856,
      0.4475,
      0.2977,
      0.3873,
      0.3795,
      0.3714,
      0.5713,
      0.4961,
      0.3728,
      0.4798,
      0.323,
      0.5166,
      0.4098,
      0.4178,
      0.468,
      0.1815,
      0.5989,
      0.3195,
      0.4719,
      0.4672,
      0.4182,
      0.4657,
      0.4294,
      0.4832,
      0.533,
      0.4044,
      0.2724,
      0.0961,
      0.0994,
      0.3709,
      0.1709,
      0.2913,
      0.2706,
      0.2271,
      0.1553,
      0.3128,
      0.2276,
      0.3662,
      0.2546,
      0.3998,
      0.213,
      0.6207,
      0.2496,
      0.2541,
      0.4254,
      0.1368,
      0.458,
      0.4167,
      0.5309,
      0.3403,
      0.4095,
      0.2779,
      0.2734,
      0.3525,
      0.4038,
      0.4227,
      0.5054,
      0.4847,
      0.5372,
      0.3326,
      0.486,
      0.3604,
      0.4316,
      0.4606,
      0.1839,
      0.5584,
      0.3415,
      0.4724,
      0.3552,
      0.3422,
      0.4383,
      0.4594,
      0.5315,
      0.5285,
      0.3639,
      0.4274,
      0.306,
      0.4314,
      0.3305,
      0.2789,
      0.2603,
      0.2879,
      0.3327,
      0.487,
      0.4574,
      0.49,
      0.3656,
      0.4781,
      0.1492,
      0.3541,
      0.4698,
      0.2644,
      0.0878,
      0.0708,
      0.0862,
      0.0772,
      0.0797,
      0.2245,
      0.2389,
      0.1798,
      0.0605,
      0.1565,
      0.1807,
      0.2834,
      0.2356,
      0.4628,
      0.0721,
      0.4863,
      0.0278,
      0,
      0,
      0,
      0,
      0,
      0.2462,
      0.1421,
      0.1565,
      0.0305,
      0.0528,
      0.0101,
      0.0634,
      0.0253,
      0.0317,
      0.1526,
      0.0581,
      0.0924,
      0.0958,
      0.144,
      0.0562,
      0.0807,
      0.3682,
      0.2441,
      0.2047,
      0.259,
      0.2989,
      0.4704,
      0.3612,
      0.4537,
      0.4855,
      0.4417,
      0.4478,
      0.4249,
      0.4508,
      0.2337,
      0.3326,
      0.1196,
      0.192,
      0.1614,
      0.3847,
      0.1987,
      0.4669,
      0.4641,
      0.4332,
      0.3375,
      0.2482,
      0.1133,
      0.3781,
      0.126,
      0.3914,
      0.2181,
      0.4968,
      0.4439,
      0.5347,
      0.3616,
      0.5112,
      0.5509,
      0.4489,
      0.3623,
      0.1845,
      0.2858,
      0.2504,
      0.3087,
      0.316,
      0.3373,
      0.4545,
      0.528,
      0.5046,
      0.3324,
      0.4528,
      0.4517,
      0.3298,
      0.2152,
      0.3069,
      0.4997,
      0.3556,
      0.2523,
      0.3648,
      0.4261,
      0.5121,
      0.3746,
      0.3838,
      0.3008,
      0.4152,
      0.2381,
      0.127,
      0.2164,
      0.3545,
      0.411,
      0.3733,
      0.374,
      0.1338,
      0.4155,
      0.3798,
      0.4372,
      0.3296,
      0.3259,
      0.3385,
      0.4257,
      0.4941,
      0.4779,
      0.4387,
      0.5517,
      0.3746,
      0.5002,
      0.451,
      0.4369,
      0.4634,
      0.2042,
      0.6442,
      0.2945,
      0.4468,
      0.3822,
      0.4042,
      0.4224,
      0.4682,
      0.4937,
      0.4625,
      0.3999,
      0.3683,
      0.4327,
      0.2634,
      0.2437,
      0.4649,
      0.3319,
      0.3212,
      0.2914,
      0.4113,
      0.4884,
      0.4181,
      0.4191,
      0.4816,
      0.4953,
      0.3401,
      0.5406,
      0.1826,
      0.2932,
      0.3995,
      0.1692,
      0.402,
      0.6273,
      0.4704,
      0.3565,
      0.2445,
      0.3134,
      0.4992,
      0.2336,
      0.4475,
      0.1774,
      0.4909,
      0.4006,
      0.4677,
      0.2569,
      0.4539,
      0.4071,
      0.4858,
      0.4042,
      0.1523,
      0.0723,
      0.2373,
      0.3716,
      0.3718,
      0.2821,
      0.6503,
      0.3917,
      0.5276,
      0.3415,
      0.4101,
      0.3224,
      0.2436,
      0.2316,
      0.1924,
      0.4,
      0.3278,
      0.2886,
      0.264,
      0.5523,
      0.5454,
      0.4335,
      0.3954,
      0.6154,
      0.235,
      0.1885,
      0.2347,
      0.3547,
      0.3691,
      0.361,
      0.3166,
      0.4702,
      0.1523,
      0.4224,
      0.3786,
      0.3961,
      0.2903,
      0.409,
      0.3452,
      0.426,
      0.5076,
      0.5177,
      0.4299,
      0.556,
      0.322,
      0.4753,
      0.4835,
      0.4375,
      0.455,
      0.1987,
      0.6245,
      0.349,
      0.4659,
      0.4448,
      0.3562,
      0.4543,
      0.4232,
      0.4374,
      0.4384,
      0.4234,
      0.3361,
      0.0782,
      0.0453,
      0.4096,
      0.1598,
      0.3232,
      0.3558,
      0.2791,
      0.1261,
      0.2716,
      0.245,
      0.3013,
      0.2747,
      0.4513,
      0.2024,
      0.5715,
      0.2711,
      0.2615,
      0.3744,
      0.2106,
      0.4295,
      0.4217,
      0.3564,
      0.2918,
      0.33,
      0.1988,
      0.3393,
      0.3813,
      0.4533,
      0.3194,
      0.4771,
      0.5212,
      0.5613,
      0.2862,
      0.4373,
      0.4599,
      0.4169,
      0.4678,
      0.2312,
      0.6269,
      0.2828,
      0.4449,
      0.3396,
      0.3991,
      0.3755,
      0.4787,
      0.5062,
      0.438,
      0.3658,
      0.3795,
      0.3038,
      0.3729,
      0.3031,
      0.333,
      0.2946,
      0.3766,
      0.3959,
      0.4985,
      0.4841,
      0.4528,
      0.3733,
      0.4941,
      0.1224,
      0.3716,
      0.488,
      0.4029,
      0.1582,
      0.0996,
      0.1157,
      0.0963,
      0.1184,
      0.15,
      0.234,
      0.1044,
      0.1595,
      0.153,
      0.1263,
      0.2889,
      0.1516,
      0.4069,
      0.1249,
      0.4525,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1288,
      0.2054,
      0.049,
      0.0472,
      0.1011,
      0.0305,
      0,
      0.0283,
      0.0611,
      0.089,
      0.0034,
      0.074,
      0.0375,
      0.0426,
      0.1113,
      0.1058,
      0.3478,
      0.2959,
      0.1502,
      0.3559,
      0.279,
      0.3323,
      0.3124,
      0.3509,
      0.4427,
      0.425,
      0.4109,
      0.3744,
      0.4383,
      0.1695,
      0.3049,
      0.1244,
      0.212,
      0.2412,
      0.3674,
      0.1754,
      0.4587,
      0.4286,
      0.3451,
      0.3948,
      0.2709,
      0.1993,
      0.3643,
      0.1046,
      0.461,
      0.1228,
      0.4629,
      0.4328,
      0.5022,
      0.3952,
      0.5653,
      0.4769,
      0.4687,
      0.3213,
      0.2392,
      0.3042,
      0.2176,
      0.3316,
      0.3731,
      0.3121,
      0.4368,
      0.5137,
      0.5134,
      0.3491,
      0.432,
      0.3975,
      0.2805,
      0.236,
      0.2622,
      0.535,
      0.3257,
      0.2182,
      0.2074,
      0.4531,
      0.463,
      0.3517,
      0.3451,
      0.2294,
      0.461,
      0.2859,
      0.1675,
      0.1657,
      0.3353,
      0.4222,
      0.3746,
      0.3409,
      0.2606,
      0.386,
      0.3528,
      0.3571,
      0.3103,
      0.4367,
      0.4168,
      0.4695,
      0.5194,
      0.4972,
      0.4451,
      0.5343,
      0.3141,
      0.5787,
      0.4056,
      0.4438,
      0.504,
      0.1639,
      0.6262,
      0.2825,
      0.437,
      0.4314,
      0.4182,
      0.4659,
      0.4629,
      0.5276,
      0.3563,
      0.3792,
      0.3153,
      0.4348,
      0.1811,
      0.3059,
      0.3983,
      0.3025,
      0.3837,
      0.3123,
      0.4611,
      0.4682,
      0.4143,
      0.3904,
      0.4297,
      0.5015,
      0.3776,
      0.5688,
      0.158,
      0.2975,
      0.3125,
      0.1329,
      0.4221,
      0.636,
      0.3901,
      0.3646,
      0.2491,
      0.3082,
      0.4444,
      0.1806,
      0.4518,
      0.2167,
      0.4848,
      0.3873,
      0.5162,
      0.2381,
      0.5239,
      0.3865,
      0.5679,
      0.3735,
      0.1665,
      0.2217,
      0.2103,
      0.3614,
      0.4575,
      0.2516,
      0.666,
      0.4283,
      0.5119,
      0.2898,
      0.4162,
      0.3357,
      0.1595,
      0.2206,
      0.243,
      0.4837,
      0.2237,
      0.3102,
      0.2055,
      0.504,
      0.5183,
      0.4463,
      0.4332,
      0.6035,
      0.2839,
      0.2085,
      0.175,
      0.3648,
      0.3073,
      0.4375,
      0.3738,
      0.3702,
      0.229,
      0.3084,
      0.3985,
      0.3514,
      0.3056,
      0.399,
      0.4143,
      0.4833,
      0.5051,
      0.5091,
      0.3718,
      0.5443,
      0.1916,
      0.5438,
      0.4415,
      0.442,
      0.4967,
      0.3003,
      0.6011,
      0.2562,
      0.4561,
      0.4503,
      0.3786,
      0.5043,
      0.4408,
      0.5022,
      0.4453,
      0.4143,
      0.2991,
      0.1243,
      0.1687,
      0.3425,
      0.2216,
      0.3364,
      0.3316,
      0.2473,
      0.1234,
      0.3439,
      0.2961,
      0.3326,
      0.3056,
      0.3761,
      0.1698,
      0.659,
      0.2579,
      0.2114,
      0.3555,
      0.3151,
      0.4543,
      0.4477,
      0.4389,
      0.3059,
      0.3168,
      0.3105,
      0.3779,
      0.3228,
      0.4506,
      0.4135,
      0.4948,
      0.4827,
      0.5658,
      0.2861,
      0.5757,
      0.4045,
      0.4431,
      0.4729,
      0.2963,
      0.6033,
      0.3263,
      0.4178,
      0.3802,
      0.3385,
      0.4325,
      0.4803,
      0.5142,
      0.4452,
      0.3953,
      0.384,
      0.3418,
      0.4874,
      0.4035,
      0.2603,
      0.281,
      0.2974,
      0.2613,
      0.4481,
      0.4734,
      0.4637,
      0.3435,
      0.4387,
      0.117,
      0.351,
      0.485,
      0.3512,
      0.2162,
      0.1299,
      0.2558,
      0.1941,
      0.132,
      0.2317,
      0.3183,
      0.2104,
      0.1326,
      0.0761,
      0.1111,
      0.3135,
      0.2039,
      0.3717,
      0.1244,
      0.4374,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2733,
      0.166,
      0.1414,
      0.1451,
      0.1553,
      0.0853,
      0.122,
      0.0878,
      0.0713,
      0.0654,
      0.0726,
      0.0589,
      0.0308,
      0.0692,
      0.1099,
      0.0568,
      0.3424,
      0.3672,
      0.3046,
      0.4952,
      0.2808,
      0.3534,
      0.3559,
      0.2841,
      0.5109,
      0.5084,
      0.4577,
      0.452,
      0.3986,
      0.1544,
      0.2519,
      0.3388,
      0.2495,
      0.3117,
      0.2508,
      0.2748,
      0.5197,
      0.4736,
      0.368,
      0.3531,
      0.245,
      0.2047,
      0.3176,
      0.1802,
      0.4455,
      0.1682,
      0.4018,
      0.4412,
      0.5461,
      0.4961,
      0.4985,
      0.5124,
      0.3964,
      0.3923,
      0.1649,
      0.3114,
      0.2129,
      0.3852,
      0.4015,
      0.389,
      0.5182,
      0.4909,
      0.5128,
      0.2995,
      0.4467,
      0.4077,
      0.3215,
      0.2298,
      0.2003,
      0.5064,
      0.3239,
      0.2345,
      0.3092,
      0.5174,
      0.5283,
      0.3816,
      0.4469,
      0.2826,
      0.4467,
      0.3148,
      0.178,
      0.1716,
      0.4269,
      0.3922,
      0.348,
      0.468,
      0.2298,
      0.3602,
      0.3547,
      0.4173,
      0.2754,
      0.3966,
      0.3637,
      0.3844,
      0.5038,
      0.4457,
      0.5042,
      0.5632,
      0.4086,
      0.5336,
      0.451,
      0.4362,
      0.4579,
      0.1786,
      0.6565,
      0.316,
      0.4369,
      0.4491,
      0.4187,
      0.4792,
      0.5167,
      0.5058,
      0.3398,
      0.4331,
      0.3498,
      0.4439,
      0.275,
      0.3587,
      0.4478,
      0.3753,
      0.295,
      0.2718,
      0.4404,
      0.5251,
      0.4125,
      0.4191,
      0.445,
      0.5147,
      0.4504,
      0.463,
      0.1761,
      0.3758,
      0.4018,
      0.1942,
      0.5137,
      0.6316,
      0.4976,
      0.3519,
      0.2756,
      0.224,
      0.3292,
      0.185,
      0.4481,
      0.2713,
      0.3846,
      0.4339,
      0.4851,
      0.346,
      0.4988,
      0.4327,
      0.4992,
      0.3887,
      0.2071,
      0.1454,
      0.1659,
      0.2775,
      0.4573,
      0.3296,
      0.5839,
      0.4808,
      0.505,
      0.3202,
      0.3861,
      0.4737,
      0.2531,
      0.2182,
      0.2855,
      0.478,
      0.264,
      0.2896,
      0.2787,
      0.4428,
      0.617,
      0.4167,
      0.5177,
      0.6741,
      0.2922,
      0.1644,
      0.2259,
      0.377,
      0.4318,
      0.457,
      0.3718,
      0.4965,
      0.1634,
      0.4537,
      0.3867,
      0.4125,
      0.272,
      0.3698,
      0.3443,
      0.3341,
      0.5306,
      0.4764,
      0.3922,
      0.5505,
      0.3817,
      0.5263,
      0.4515,
      0.4008,
      0.4464,
      0.2426,
      0.6194,
      0.3218,
      0.4535,
      0.5063,
      0.3945,
      0.4888,
      0.4783,
      0.5097,
      0.4919,
      0.4447,
      0.3463,
      0.2074,
      0.2244,
      0.3948,
      0.3219,
      0.3259,
      0.298,
      0.2531,
      0.2375,
      0.3286,
      0.2985,
      0.3475,
      0.2562,
      0.4011,
      0.248,
      0.6487,
      0.1872,
      0.2943,
      0.3718,
      0.2836,
      0.4828,
      0.4087,
      0.466,
      0.3229,
      0.239,
      0.2738,
      0.4049,
      0.3529,
      0.4295,
      0.2829,
      0.427,
      0.4079,
      0.5579,
      0.3348,
      0.5209,
      0.4528,
      0.4029,
      0.4577,
      0.2191,
      0.6356,
      0.3691,
      0.4396,
      0.413,
      0.4028,
      0.4388,
      0.5066,
      0.5175,
      0.5356,
      0.4203,
      0.3107,
      0.4001,
      0.4138,
      0.2252,
      0.2962,
      0.2766,
      0.3053,
      0.4708,
      0.4797,
      0.5254,
      0.5632,
      0.4196,
      0.4348,
      0.0815,
      0.3355,
      0.5323,
      0.4045,
      0.169,
      0.1187,
      0.0813,
      0.0601,
      0.1725,
      0.0979,
      0.2938,
      0.117,
      0.1665,
      0.0924,
      0.1147,
      0.346,
      0.2068,
      0.374,
      0.1323,
      0.4702,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3106,
      0.2408,
      0.205,
      0.1318,
      0.1,
      0.0581,
      0.1899,
      0.1604,
      0.0772,
      0.0571,
      0.011,
      0.0396,
      0.0229,
      0,
      0.0566,
      0.0598,
      0.3033,
      0.3436,
      0.3505,
      0.4221,
      0.2827,
      0.363,
      0.4236,
      0.2839,
      0.5162,
      0.5215,
      0.427,
      0.4053,
      0.4095,
      0.2595,
      0.1848,
      0.3171,
      0.1929,
      0.4168,
      0.3928,
      0.2171,
      0.5097,
      0.4935,
      0.4415,
      0.3722,
      0.3072,
      0.182,
      0.2298,
      0.2016,
      0.3361,
      0.2347,
      0.4487,
      0.474,
      0.5287,
      0.3999,
      0.5556,
      0.4756,
      0.4041,
      0.24,
      0.114,
      0.3188,
      0.2208,
      0.3502,
      0.3937,
      0.4319,
      0.4861,
      0.5194,
      0.5225,
      0.3334,
      0.4585,
      0.4978,
      0.3972,
      0.2886,
      0.2749,
      0.5028,
      0.4027,
      0.3047,
      0.288,
      0.5478,
      0.511,
      0.4283,
      0.447,
      0.2639,
      0.378,
      0.3168,
      0.1752,
      0.2151,
      0.3719,
      0.486,
      0.3056,
      0.4571,
      0.1326,
      0.4631,
      0.3364,
      0.3863,
      0.3038,
      0.4088,
      0.4041,
      0.402,
      0.5286,
      0.5216,
      0.486,
      0.5774,
      0.3663,
      0.5454,
      0.4322,
      0.3534,
      0.4726,
      0.3055,
      0.586,
      0.3655,
      0.4767,
      0.4073,
      0.4005,
      0.4505,
      0.532,
      0.5423,
      0.436,
      0.4782,
      0.2476,
      0.4177,
      0.2159,
      0.36,
      0.4952,
      0.3975,
      0.3541,
      0.278,
      0.4728,
      0.4809,
      0.38,
      0.3918,
      0.426,
      0.3985,
      0.484,
      0.5488,
      0.2829,
      0.4473,
      0.4697,
      0.2305,
      0.4576,
      0.5981,
      0.4743,
      0.3561,
      0.2776,
      0.3406,
      0.331,
      0.2584,
      0.4218,
      0.3334,
      0.4404,
      0.4755,
      0.5067,
      0.2955,
      0.5167,
      0.421,
      0.5316,
      0.3767,
      0.1037,
      0.0739,
      0.2631,
      0.3192,
      0.4961,
      0.3217,
      0.5842,
      0.5161,
      0.5358,
      0.3828,
      0.4831,
      0.4597,
      0.3052,
      0.2554,
      0.2841,
      0.393,
      0.3845,
      0.2864,
      0.2495,
      0.4686,
      0.4746,
      0.4684,
      0.4582,
      0.5508,
      0.3048,
      0.147,
      0.1869,
      0.3657,
      0.3314,
      0.4429,
      0.4072,
      0.4477,
      0.1729,
      0.4852,
      0.3407,
      0.4222,
      0.2545,
      0.422,
      0.355,
      0.4049,
      0.5126,
      0.4715,
      0.4182,
      0.5107,
      0.3121,
      0.5468,
      0.4492,
      0.367,
      0.4404,
      0.2572,
      0.5165,
      0.384,
      0.4585,
      0.5012,
      0.3697,
      0.4611,
      0.4947,
      0.5389,
      0.5141,
      0.4685,
      0.3761,
      0.278,
      0.2415,
      0.3315,
      0.2195,
      0.2914,
      0.3212,
      0.2932,
      0.1842,
      0.2921,
      0.2612,
      0.3974,
      0.2394,
      0.3979,
      0.2585,
      0.6042,
      0.2467,
      0.2961,
      0.4104,
      0.2543,
      0.4485,
      0.412,
      0.4655,
      0.3809,
      0.2901,
      0.315,
      0.3885,
      0.4385,
      0.3754,
      0.3301,
      0.4553,
      0.4782,
      0.5594,
      0.2979,
      0.4994,
      0.4065,
      0.3721,
      0.4426,
      0.2263,
      0.5093,
      0.32,
      0.4155,
      0.3907,
      0.4043,
      0.4296,
      0.4845,
      0.5682,
      0.4865,
      0.4478,
      0.4045,
      0.4076,
      0.4047,
      0.3278,
      0.3628,
      0.4241,
      0.305,
      0.5266,
      0.5126,
      0.4995,
      0.5778,
      0.3967,
      0.3829,
      0.0845,
      0.3722,
      0.5736,
      0.3533,
      0.2068,
      0.1143,
      0.0811,
      0.0709,
      0.1612,
      0.1038,
      0.2461,
      0.1323,
      0.115,
      0.076,
      0.141,
      0.3566,
      0.2268,
      0.3399,
      0.1382,
      0.4929,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1247,
      0.1159,
      0.1085,
      0.0896,
      0.1127,
      0.1001,
      0.0528,
      0.0144,
      0.0402,
      0.037,
      0.0575,
      0.0232,
      0.0223,
      0.0325,
      0.0761,
      0.0437,
      0.3287,
      0.3805,
      0.1712,
      0.3313,
      0.271,
      0.3658,
      0.3954,
      0.276,
      0.3689,
      0.4289,
      0.331,
      0.3276,
      0.4263,
      0.1866,
      0.2556,
      0.1539,
      0.1538,
      0.3421,
      0.316,
      0.155,
      0.5524,
      0.521,
      0.5266,
      0.4144,
      0.1685,
      0.1812,
      0.277,
      0.2118,
      0.3738,
      0.2576,
      0.4374,
      0.4185,
      0.5223,
      0.4174,
      0.5429,
      0.4698,
      0.4315,
      0.3614,
      0.1747,
      0.3038,
      0.2591,
      0.3335,
      0.4207,
      0.4944,
      0.5402,
      0.6016,
      0.5726,
      0.387,
      0.4756,
      0.4831,
      0.3112,
      0.3404,
      0.3373,
      0.5166,
      0.2532,
      0.1484,
      0.3373,
      0.4805,
      0.4042,
      0.3283,
      0.3821,
      0.2466,
      0.4703,
      0.2918,
      0.0856,
      0.1659,
      0.3637,
      0.4107,
      0.3498,
      0.5152,
      0.1145,
      0.473,
      0.3545,
      0.3357,
      0.3475,
      0.4384,
      0.3953,
      0.4262,
      0.4352,
      0.4698,
      0.4371,
      0.5121,
      0.3329,
      0.5614,
      0.4283,
      0.4015,
      0.4763,
      0.2766,
      0.5741,
      0.3789,
      0.4023,
      0.3812,
      0.3841,
      0.5193,
      0.5906,
      0.5719,
      0.5071,
      0.469,
      0.3233,
      0.3771,
      0.2902,
      0.0894,
      0.4884,
      0.3438,
      0.238,
      0.2392,
      0.4536,
      0.4131,
      0.3915,
      0.3202,
      0.4197,
      0.4722,
      0.4441,
      0.5615,
      0.2027,
      0.331,
      0.4646,
      0.1736,
      0.5256,
      0.6081,
      0.5582,
      0.4626,
      0.2277,
      0.4082,
      0.3887,
      0.2167,
      0.358,
      0.3242,
      0.4915,
      0.3441,
      0.5439,
      0.3091,
      0.5404,
      0.3522,
      0.5039,
      0.3816,
      0.1883,
      0.049,
      0.2959,
      0.3229,
      0.5348,
      0.3601,
      0.5978,
      0.5842,
      0.583,
      0.3462,
      0.4439,
      0.4249,
      0.1554,
      0.2825,
      0.2475,
      0.419,
      0.3109,
      0.3145,
      0.2647,
      0.4037,
      0.541,
      0.4096,
      0.294,
      0.6088,
      0.297,
      0.1756,
      0.1553,
      0.3417,
      0.3406,
      0.4114,
      0.353,
      0.5013,
      0.1678,
      0.5658,
      0.3528,
      0.486,
      0.2998,
      0.3813,
      0.3696,
      0.3934,
      0.5092,
      0.4628,
      0.3755,
      0.5566,
      0.2921,
      0.5592,
      0.4246,
      0.4211,
      0.4609,
      0.3116,
      0.5675,
      0.3182,
      0.4104,
      0.4379,
      0.4319,
      0.5114,
      0.5703,
      0.5826,
      0.574,
      0.4596,
      0.3519,
      0.1017,
      0.0701,
      0.3282,
      0.2025,
      0.317,
      0.4705,
      0.2664,
      0.1472,
      0.2481,
      0.2052,
      0.3539,
      0.2366,
      0.3679,
      0.1131,
      0.6637,
      0.2627,
      0.2668,
      0.4426,
      0.1686,
      0.5518,
      0.4216,
      0.5541,
      0.3138,
      0.3501,
      0.2968,
      0.3288,
      0.4744,
      0.3307,
      0.3406,
      0.4629,
      0.3852,
      0.5511,
      0.3063,
      0.5073,
      0.3157,
      0.3953,
      0.4653,
      0.261,
      0.5705,
      0.3763,
      0.4096,
      0.4473,
      0.3952,
      0.4811,
      0.5343,
      0.545,
      0.5638,
      0.4125,
      0.4136,
      0.426,
      0.4235,
      0.3269,
      0.3868,
      0.3532,
      0.2764,
      0.3778,
      0.4954,
      0.412,
      0.5855,
      0.3588,
      0.3542,
      0.098,
      0.386,
      0.4723,
      0.404,
      0.1684,
      0.1088,
      0.1173,
      0.0904,
      0.1285,
      0.1278,
      0.1554,
      0.0968,
      0.1975,
      0.113,
      0.1499,
      0.3158,
      0.1419,
      0.366,
      0.0334,
      0.4586,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1361,
      0.0854,
      0.1147,
      0,
      0.0175,
      0,
      0.003,
      0.1732,
      0.0989,
      0.0898,
      0.0139,
      0.0188,
      0.0194,
      0.0738,
      0.0866,
      0.0617,
      0.2909,
      0.2922,
      0.1761,
      0.3864,
      0.2311,
      0.4118,
      0.4107,
      0.2114,
      0.4826,
      0.3853,
      0.2901,
      0.3668,
      0.4621,
      0.245,
      0.346,
      0.16,
      0.1264,
      0.2387,
      0.3356,
      0.2337,
      0.5301,
      0.4332,
      0.4471,
      0.3227,
      0.2319,
      0.1075,
      0.3242,
      0.2539,
      0.4147,
      0.2057,
      0.4156,
      0.4156,
      0.5101,
      0.4291,
      0.4799,
      0.4275,
      0.3884,
      0.3414,
      0.1559,
      0.3675,
      0.2893,
      0.3016,
      0.4101,
      0.4208,
      0.4142,
      0.5793,
      0.4036,
      0.3568,
      0.4884,
      0.419,
      0.311,
      0.3256,
      0.275,
      0.3909,
      0.2608,
      0.2947,
      0.366,
      0.4457,
      0.3059,
      0.3292,
      0.4087,
      0.3274,
      0.5226,
      0.307,
      0.1038,
      0.2472,
      0.3585,
      0.3866,
      0.2834,
      0.4393,
      0.1789,
      0.4179,
      0.3664,
      0.4112,
      0.3582,
      0.4262,
      0.3833,
      0.4454,
      0.4461,
      0.5072,
      0.4155,
      0.5386,
      0.3432,
      0.5027,
      0.3913,
      0.3565,
      0.4605,
      0.2028,
      0.6142,
      0.2987,
      0.4789,
      0.4321,
      0.4076,
      0.4034,
      0.5267,
      0.4357,
      0.4525,
      0.3695,
      0.3207,
      0.3532,
      0.1929,
      0.1875,
      0.4153,
      0.4678,
      0.2474,
      0.2579,
      0.4107,
      0.402,
      0.4122,
      0.2879,
      0.5173,
      0.4059,
      0.4091,
      0.4849,
      0.1134,
      0.2067,
      0.393,
      0.1667,
      0.4737,
      0.6458,
      0.5201,
      0.4776,
      0.2314,
      0.3518,
      0.5312,
      0.3317,
      0.397,
      0.2112,
      0.4996,
      0.3766,
      0.5602,
      0.2683,
      0.5046,
      0.3408,
      0.4988,
      0.3491,
      0.0525,
      0.1139,
      0.2458,
      0.361,
      0.4654,
      0.2878,
      0.6012,
      0.5092,
      0.4637,
      0.3522,
      0.3599,
      0.4698,
      0.1737,
      0.1594,
      0.1625,
      0.4161,
      0.4023,
      0.254,
      0.2596,
      0.5119,
      0.5775,
      0.3998,
      0.2531,
      0.5392,
      0.322,
      0.1414,
      0.1351,
      0.3072,
      0.3566,
      0.3677,
      0.3103,
      0.4908,
      0.2246,
      0.5058,
      0.3383,
      0.436,
      0.3658,
      0.4477,
      0.407,
      0.4346,
      0.4532,
      0.5069,
      0.3533,
      0.5886,
      0.3425,
      0.5254,
      0.4267,
      0.3474,
      0.4333,
      0.2164,
      0.5763,
      0.3331,
      0.4826,
      0.4154,
      0.4523,
      0.4035,
      0.5446,
      0.4629,
      0.5347,
      0.3842,
      0.3475,
      0.0795,
      0.0666,
      0.2991,
      0.2034,
      0.3085,
      0.4205,
      0.2007,
      0.1534,
      0.3158,
      0.1865,
      0.3778,
      0.2928,
      0.4134,
      0.1302,
      0.6188,
      0.269,
      0.2834,
      0.3695,
      0.1564,
      0.4487,
      0.4029,
      0.497,
      0.3355,
      0.2959,
      0.27,
      0.3296,
      0.3451,
      0.3984,
      0.4212,
      0.4879,
      0.4729,
      0.5867,
      0.1937,
      0.4966,
      0.4311,
      0.302,
      0.4088,
      0.2295,
      0.5533,
      0.321,
      0.4296,
      0.4141,
      0.3416,
      0.4051,
      0.5172,
      0.4506,
      0.5236,
      0.3051,
      0.3968,
      0.3929,
      0.4611,
      0.4025,
      0.2541,
      0.3304,
      0.3403,
      0.4075,
      0.4813,
      0.4031,
      0.5444,
      0.3328,
      0.3471,
      0.173,
      0.3447,
      0.5102,
      0.3702,
      0.1449,
      0.0362,
      0.0979,
      0.0111,
      0.1538,
      0.1706,
      0.2237,
      0.1237,
      0.2815,
      0.2323,
      0.2479,
      0.3475,
      0.1481,
      0.4203,
      0.0597,
      0.4565,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2044,
      0.0845,
      0.1556,
      0.1926,
      0.0466,
      0.1845,
      0.0586,
      0.0997,
      0.0809,
      0,
      0,
      0.0071,
      0.0727,
      0,
      0.0175,
      0.0608,
      0.358,
      0.2839,
      0.063,
      0.3355,
      0.2438,
      0.3981,
      0.3243,
      0.241,
      0.4272,
      0.3915,
      0.3876,
      0.3166,
      0.4308,
      0.2552,
      0.2704,
      0.1491,
      0.1162,
      0.1843,
      0.2351,
      0.254,
      0.4772,
      0.4234,
      0.4296,
      0.2866,
      0.1995,
      0.1078,
      0.372,
      0.204,
      0.3561,
      0.2103,
      0.4531,
      0.3567,
      0.5312,
      0.416,
      0.5349,
      0.4595,
      0.3382,
      0.3164,
      0.1711,
      0.2901,
      0.2436,
      0.2752,
      0.3243,
      0.3659,
      0.4945,
      0.523,
      0.47,
      0.2907,
      0.471,
      0.4275,
      0.2546,
      0.296,
      0.2466,
      0.4626,
      0.2613,
      0.3067,
      0.3559,
      0.4316,
      0.3782,
      0.344,
      0.381,
      0.2713,
      0.5461,
      0.213,
      0.1632,
      0.224,
      0.3581,
      0.4194,
      0.359,
      0.4273,
      0.2152,
      0.3857,
      0.3415,
      0.4382,
      0.3697,
      0.2908,
      0.4114,
      0.4504,
      0.3706,
      0.5374,
      0.4064,
      0.4923,
      0.3371,
      0.4512,
      0.3652,
      0.3803,
      0.4488,
      0.1978,
      0.684,
      0.2694,
      0.3485,
      0.3882,
      0.3678,
      0.3931,
      0.459,
      0.5017,
      0.3854,
      0.4066,
      0.3574,
      0.3616,
      0.2367,
      0.1687,
      0.434,
      0.341,
      0.2737,
      0.2115,
      0.4495,
      0.2984,
      0.3817,
      0.2089,
      0.4742,
      0.414,
      0.3685,
      0.5844,
      0.1531,
      0.2365,
      0.3364,
      0.2206,
      0.4567,
      0.6656,
      0.4294,
      0.3643,
      0.2031,
      0.3627,
      0.5454,
      0.3488,
      0.3592,
      0.1265,
      0.4697,
      0.3856,
      0.4668,
      0.2183,
      0.5625,
      0.3066,
      0.5313,
      0.3709,
      0.0751,
      0.2022,
      0.2483,
      0.3425,
      0.3948,
      0.2845,
      0.6151,
      0.4822,
      0.497,
      0.3297,
      0.3636,
      0.4129,
      0.349,
      0.1463,
      0.1335,
      0.4576,
      0.351,
      0.1856,
      0.2232,
      0.5221,
      0.5469,
      0.3893,
      0.2424,
      0.6011,
      0.2971,
      0.1445,
      0.1222,
      0.3538,
      0.3458,
      0.414,
      0.3523,
      0.4922,
      0.1955,
      0.3747,
      0.3473,
      0.4079,
      0.2666,
      0.3686,
      0.3797,
      0.4112,
      0.5084,
      0.4525,
      0.3383,
      0.5641,
      0.3457,
      0.568,
      0.3603,
      0.3833,
      0.4088,
      0.2769,
      0.6213,
      0.2504,
      0.4155,
      0.4414,
      0.4415,
      0.4869,
      0.4374,
      0.4941,
      0.4223,
      0.4011,
      0.3655,
      0.2272,
      0.0653,
      0.2667,
      0.2273,
      0.3007,
      0.3432,
      0.2226,
      0.1752,
      0.2867,
      0.2737,
      0.3206,
      0.3441,
      0.3533,
      0.2246,
      0.5721,
      0.2317,
      0.3048,
      0.3926,
      0.2657,
      0.4389,
      0.3865,
      0.4368,
      0.3306,
      0.2333,
      0.3282,
      0.3115,
      0.3571,
      0.4086,
      0.3863,
      0.4908,
      0.5272,
      0.5397,
      0.2753,
      0.4703,
      0.3786,
      0.3839,
      0.4023,
      0.1926,
      0.6129,
      0.3568,
      0.3849,
      0.3871,
      0.3897,
      0.4105,
      0.481,
      0.487,
      0.4295,
      0.3146,
      0.3893,
      0.3837,
      0.4246,
      0.3885,
      0.3177,
      0.3115,
      0.3406,
      0.4298,
      0.5041,
      0.3923,
      0.5205,
      0.3398,
      0.338,
      0.251,
      0.3494,
      0.5435,
      0.2365,
      0.1615,
      0.0772,
      0.0729,
      0.0295,
      0.1061,
      0.1421,
      0.0031,
      0.1021,
      0.2195,
      0.1523,
      0.2096,
      0.3544,
      0.1736,
      0.3907,
      0.1197,
      0.4941,
      0.0228,
      0,
      0,
      0,
      0,
      0,
      0.2364,
      0.1037,
      0.1205,
      0.129,
      0.0603,
      0.112,
      0,
      0.0905,
      0.1587,
      0.0816,
      0.0625,
      0.0367,
      0.0323,
      0.0561,
      0.0774,
      0.0268,
      0.3159,
      0.1568,
      0.1737,
      0.234,
      0.2703,
      0.4573,
      0.3291,
      0.4105,
      0.5173,
      0.4435,
      0.3558,
      0.3035,
      0.4175,
      0.1899,
      0.3782,
      0.1203,
      0.1558,
      0.2156,
      0.2845,
      0.1302,
      0.5348,
      0.3891,
      0.4589,
      0.2949,
      0.1765,
      0.1415,
      0.3875,
      0.2274,
      0.3658,
      0.1449,
      0.3334,
      0.4743,
      0.4871,
      0.3739,
      0.5693,
      0.396,
      0.389,
      0.3963,
      0.1481,
      0.2379,
      0.2529,
      0.321,
      0.3708,
      0.4307,
      0.432,
      0.5687,
      0.4552,
      0.3641,
      0.3907,
      0.4203,
      0.2601,
      0.2461,
      0.2705,
      0.5092,
      0.2646,
      0.251,
      0.2829,
      0.5453,
      0.4573,
      0.3734,
      0.3556,
      0.2655,
      0.5492,
      0.2077,
      0.1821,
      0.1815,
      0.4129,
      0.3561,
      0.3035,
      0.4596,
      0.2364,
      0.4157,
      0.3935,
      0.3905,
      0.249,
      0.3444,
      0.3664,
      0.4014,
      0.4735,
      0.5164,
      0.4782,
      0.5193,
      0.3553,
      0.5721,
      0.352,
      0.3538,
      0.4396,
      0.2637,
      0.6246,
      0.2471,
      0.4525,
      0.385,
      0.3939,
      0.4382,
      0.5497,
      0.4688,
      0.4472,
      0.3977,
      0.3729,
      0.3518,
      0.2004,
      0.1832,
      0.4693,
      0.3597,
      0.3264,
      0.2595,
      0.5414,
      0.4179,
      0.3559,
      0.3262,
      0.4311,
      0.389,
      0.4168,
      0.5773,
      0.1533,
      0.2786,
      0.3476,
      0.1449,
      0.5057,
      0.5598,
      0.5197,
      0.2625,
      0.1823,
      0.3677,
      0.5451,
      0.3048,
      0.3389,
      0.185,
      0.4623,
      0.4202,
      0.5318,
      0.3001,
      0.5621,
      0.3051,
      0.4865,
      0.3938,
      0.2022,
      0.1731,
      0.2024,
      0.356,
      0.4294,
      0.3526,
      0.6216,
      0.5387,
      0.4932,
      0.3953,
      0.3665,
      0.4205,
      0.394,
      0.231,
      0.1673,
      0.4432,
      0.2725,
      0.2683,
      0.2061,
      0.5261,
      0.5434,
      0.4201,
      0.2825,
      0.6052,
      0.307,
      0.1762,
      0.1137,
      0.3911,
      0.3344,
      0.3855,
      0.361,
      0.5014,
      0.2399,
      0.5082,
      0.4021,
      0.4259,
      0.2961,
      0.4075,
      0.3563,
      0.3884,
      0.4955,
      0.5182,
      0.3907,
      0.5489,
      0.3574,
      0.5168,
      0.4288,
      0.3935,
      0.4199,
      0.2416,
      0.5489,
      0.264,
      0.5031,
      0.4282,
      0.3946,
      0.4415,
      0.5138,
      0.5029,
      0.5418,
      0.3814,
      0.3233,
      0.0999,
      0.0726,
      0.304,
      0.2512,
      0.1899,
      0.3919,
      0.2673,
      0.2291,
      0.3063,
      0.2055,
      0.3204,
      0.2575,
      0.2495,
      0.1908,
      0.6353,
      0.3037,
      0.2713,
      0.3842,
      0.3078,
      0.5364,
      0.422,
      0.489,
      0.276,
      0.246,
      0.3555,
      0.3723,
      0.3736,
      0.3941,
      0.3387,
      0.5132,
      0.4649,
      0.5533,
      0.2981,
      0.5189,
      0.368,
      0.3571,
      0.4121,
      0.1714,
      0.5797,
      0.2236,
      0.5113,
      0.3478,
      0.3583,
      0.4584,
      0.5239,
      0.4646,
      0.527,
      0.4028,
      0.3576,
      0.3674,
      0.4207,
      0.366,
      0.3364,
      0.258,
      0.326,
      0.3991,
      0.5616,
      0.4067,
      0.4193,
      0.3496,
      0.3571,
      0.2195,
      0.3208,
      0.5219,
      0.3528,
      0.1994,
      0.1117,
      0.0873,
      0.0942,
      0.0833,
      0.084,
      0.1729,
      0.0794,
      0.2129,
      0.2632,
      0.2403,
      0.2901,
      0.2737,
      0.376,
      0.1223,
      0.4281,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1688,
      0.134,
      0.0839,
      0.0892,
      0,
      0.026,
      0.0021,
      0.0086,
      0.0794,
      0.0513,
      0.0616,
      0,
      0,
      0.0391,
      0.0801,
      0,
      0.3148,
      0.2067,
      0.1939,
      0.1823,
      0.2865,
      0.383,
      0.3871,
      0.3944,
      0.4637,
      0.3803,
      0.3612,
      0.2525,
      0.4541,
      0.1285,
      0.3301,
      0.2094,
      0.1867,
      0.0874,
      0.3037,
      0.1257,
      0.4961,
      0.4478,
      0.3838,
      0.3412,
      0.31,
      0.1192,
      0.3543,
      0.1839,
      0.3561,
      0.1767,
      0.4537,
      0.4195,
      0.4767,
      0.3477,
      0.4696,
      0.4789,
      0.3958,
      0.2796,
      0.2021,
      0.3339,
      0.1993,
      0.3098,
      0.4324,
      0.3668,
      0.4518,
      0.5578,
      0.4376,
      0.3808,
      0.374,
      0.4159,
      0.3036,
      0.2435,
      0.23,
      0.4997,
      0.2427,
      0.3244,
      0.2827,
      0.5308,
      0.4046,
      0.3906,
      0.2926,
      0.3483,
      0.597,
      0.3061,
      0.1968,
      0.2277,
      0.3838,
      0.434,
      0.2546,
      0.4157,
      0.2563,
      0.3918,
      0.3971,
      0.3041,
      0.3108,
      0.3329,
      0.3499,
      0.3937,
      0.5011,
      0.4715,
      0.4467,
      0.5346,
      0.2844,
      0.4859,
      0.4287,
      0.4242,
      0.4339,
      0.1859,
      0.5322,
      0.3576,
      0.428,
      0.449,
      0.2812,
      0.4849,
      0.5514,
      0.4449,
      0.415,
      0.3988,
      0.3527,
      0.3947,
      0.2754,
      0.1546,
      0.4451,
      0.4072,
      0.3948,
      0.2546,
      0.3733,
      0.3901,
      0.3798,
      0.2697,
      0.4656,
      0.4502,
      0.3516,
      0.6274,
      0.1324,
      0.1702,
      0.4035,
      0.1444,
      0.4211,
      0.5992,
      0.4874,
      0.3398,
      0.1741,
      0.3015,
      0.4977,
      0.3071,
      0.3174,
      0.2633,
      0.4348,
      0.3682,
      0.5244,
      0.2959,
      0.5439,
      0.3156,
      0.4662,
      0.4082,
      0.2188,
      0.116,
      0.2397,
      0.3218,
      0.4544,
      0.2445,
      0.6868,
      0.4692,
      0.4978,
      0.3834,
      0.393,
      0.4444,
      0.2558,
      0.1271,
      0.1644,
      0.4452,
      0.3339,
      0.2911,
      0.2349,
      0.4906,
      0.5108,
      0.3957,
      0.3951,
      0.6321,
      0.2361,
      0.2208,
      0.1177,
      0.3439,
      0.4067,
      0.3848,
      0.3445,
      0.3925,
      0.2453,
      0.4868,
      0.3332,
      0.3422,
      0.242,
      0.3328,
      0.3586,
      0.4288,
      0.477,
      0.5018,
      0.4141,
      0.5709,
      0.315,
      0.4261,
      0.4427,
      0.4199,
      0.4207,
      0.2534,
      0.5285,
      0.3348,
      0.4734,
      0.4379,
      0.3997,
      0.4309,
      0.4711,
      0.4644,
      0.4722,
      0.3798,
      0.374,
      0.0568,
      0.0442,
      0.2388,
      0.2613,
      0.2253,
      0.4359,
      0.2467,
      0.1059,
      0.2754,
      0.2342,
      0.3129,
      0.245,
      0.338,
      0.2058,
      0.6001,
      0.2474,
      0.2843,
      0.3913,
      0.256,
      0.3631,
      0.4616,
      0.4326,
      0.3352,
      0.2921,
      0.2805,
      0.2829,
      0.3436,
      0.3728,
      0.3162,
      0.4644,
      0.5135,
      0.5171,
      0.264,
      0.474,
      0.4374,
      0.43,
      0.4139,
      0.1537,
      0.5466,
      0.3554,
      0.4444,
      0.4525,
      0.368,
      0.3774,
      0.4608,
      0.4824,
      0.4937,
      0.3699,
      0.338,
      0.3642,
      0.4245,
      0.3741,
      0.2806,
      0.2378,
      0.3028,
      0.4018,
      0.4704,
      0.4003,
      0.4852,
      0.3818,
      0.3983,
      0.0922,
      0.374,
      0.5649,
      0.395,
      0.1746,
      0.0421,
      0.0499,
      0.1345,
      0.0944,
      0.172,
      0.1623,
      0.1238,
      0.2506,
      0.201,
      0.136,
      0.3061,
      0.2703,
      0.4156,
      0.1954,
      0.4779,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1898,
      0.132,
      0.1062,
      0.1214,
      0.1289,
      0.1007,
      0.0503,
      0.0205,
      0.1088,
      0,
      0.0264,
      0.045,
      0.065,
      0,
      0.0925,
      0.0504,
      0.3571,
      0.3187,
      0.2934,
      0.4032,
      0.345,
      0.329,
      0.3962,
      0.3539,
      0.5668,
      0.4154,
      0.3805,
      0.348,
      0.4423,
      0.2004,
      0.2731,
      0.2435,
      0.1499,
      0.202,
      0.3282,
      0.2,
      0.4641,
      0.3564,
      0.4243,
      0.3588,
      0.2073,
      0.198,
      0.3466,
      0.2172,
      0.3839,
      0.2484,
      0.4605,
      0.4629,
      0.4091,
      0.4353,
      0.5075,
      0.3762,
      0.4086,
      0.2988,
      0.2714,
      0.2852,
      0.1356,
      0.3079,
      0.3518,
      0.3219,
      0.4429,
      0.517,
      0.4827,
      0.3304,
      0.4177,
      0.4299,
      0.3379,
      0.3032,
      0.2477,
      0.4514,
      0.303,
      0.3254,
      0.27,
      0.5411,
      0.4548,
      0.3075,
      0.3553,
      0.2567,
      0.4328,
      0.3211,
      0.1181,
      0.2822,
      0.3887,
      0.3667,
      0.3696,
      0.3655,
      0.3026,
      0.3986,
      0.3998,
      0.3595,
      0.3477,
      0.4023,
      0.3628,
      0.3496,
      0.5008,
      0.4576,
      0.4873,
      0.5264,
      0.3196,
      0.5223,
      0.4283,
      0.4258,
      0.4684,
      0.203,
      0.513,
      0.3304,
      0.4599,
      0.4128,
      0.3449,
      0.4082,
      0.5041,
      0.431,
      0.4004,
      0.3967,
      0.3123,
      0.4111,
      0.2264,
      0.2155,
      0.4048,
      0.4522,
      0.3149,
      0.2912,
      0.5558,
      0.4261,
      0.4034,
      0.3135,
      0.4467,
      0.4226,
      0.5027,
      0.5941,
      0.1665,
      0.2706,
      0.4146,
      0.1226,
      0.4176,
      0.7107,
      0.4378,
      0.4061,
      0.231,
      0.3055,
      0.5204,
      0.271,
      0.3193,
      0.2689,
      0.4294,
      0.4258,
      0.514,
      0.2551,
      0.4896,
      0.3411,
      0.4642,
      0.3357,
      0.2704,
      0.1592,
      0.1995,
      0.3871,
      0.3891,
      0.2953,
      0.6668,
      0.4896,
      0.487,
      0.3532,
      0.3886,
      0.4374,
      0.2149,
      0.2591,
      0.3026,
      0.467,
      0.3345,
      0.3537,
      0.2734,
      0.5695,
      0.5214,
      0.4359,
      0.4523,
      0.6322,
      0.3222,
      0.2148,
      0.1327,
      0.3836,
      0.4028,
      0.3389,
      0.3783,
      0.3916,
      0.2732,
      0.479,
      0.4517,
      0.4108,
      0.3341,
      0.3566,
      0.3435,
      0.4094,
      0.5525,
      0.3933,
      0.4448,
      0.5565,
      0.3348,
      0.4254,
      0.4429,
      0.4098,
      0.4609,
      0.2532,
      0.5117,
      0.2875,
      0.4985,
      0.418,
      0.3618,
      0.3618,
      0.465,
      0.4802,
      0.4283,
      0.4171,
      0.2821,
      0.0813,
      0.0503,
      0.2717,
      0.2433,
      0.257,
      0.369,
      0.2027,
      0.0906,
      0.3195,
      0.226,
      0.4157,
      0.2371,
      0.3617,
      0.1686,
      0.6251,
      0.204,
      0.3627,
      0.3734,
      0.2653,
      0.4419,
      0.4496,
      0.4294,
      0.2584,
      0.3317,
      0.3281,
      0.1964,
      0.3429,
      0.3309,
      0.4151,
      0.4418,
      0.5235,
      0.5297,
      0.2616,
      0.5242,
      0.4073,
      0.4194,
      0.432,
      0.2504,
      0.4311,
      0.3085,
      0.4629,
      0.4219,
      0.3336,
      0.3697,
      0.418,
      0.4778,
      0.4769,
      0.3797,
      0.3566,
      0.3722,
      0.4156,
      0.367,
      0.2724,
      0.221,
      0.3996,
      0.3731,
      0.5589,
      0.4166,
      0.5767,
      0.3601,
      0.3674,
      0.1853,
      0.3497,
      0.4289,
      0.3139,
      0.2402,
      0.1896,
      0.1687,
      0.115,
      0.1952,
      0.156,
      0.2516,
      0.1329,
      0.2564,
      0.1355,
      0.1139,
      0.21,
      0.2336,
      0.405,
      0.3078,
      0.4054,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2334,
      0.12,
      0.0824,
      0.0754,
      0.1261,
      0.0681,
      0.0883,
      0,
      0.1627,
      0.0225,
      0.1307,
      0.0537,
      0.0188,
      0,
      0.0764,
      0.0268,
      0.2525,
      0.3772,
      0.2888,
      0.3653,
      0.2832,
      0.3097,
      0.3061,
      0.3648,
      0.5047,
      0.4498,
      0.4192,
      0.34,
      0.4184,
      0.2113,
      0.2031,
      0.1972,
      0.1263,
      0.4338,
      0.3429,
      0.2146,
      0.4637,
      0.4346,
      0.4201,
      0.3986,
      0.219,
      0.1545,
      0.3476,
      0.1991,
      0.3916,
      0.2417,
      0.4323,
      0.4184,
      0.4564,
      0.4643,
      0.4986,
      0.4346,
      0.4267,
      0.2599,
      0.1521,
      0.2377,
      0.2263,
      0.2115,
      0.3137,
      0.3314,
      0.456,
      0.4886,
      0.4696,
      0.3848,
      0.4262,
      0.3684,
      0.3609,
      0.2857,
      0.313,
      0.4664,
      0.3137,
      0.344,
      0.2597,
      0.5269,
      0.4474,
      0.3196,
      0.311,
      0.2156,
      0.4789,
      0.3139,
      0.1406,
      0.1878,
      0.3483,
      0.3622,
      0.3771,
      0.3723,
      0.257,
      0.4183,
      0.3158,
      0.4115,
      0.3339,
      0.3858,
      0.2791,
      0.3577,
      0.4996,
      0.5303,
      0.4273,
      0.5039,
      0.3598,
      0.4721,
      0.3756,
      0.3912,
      0.4159,
      0.182,
      0.513,
      0.3373,
      0.441,
      0.4239,
      0.4166,
      0.4279,
      0.5313,
      0.485,
      0.4145,
      0.4327,
      0.4291,
      0.42,
      0.2559,
      0.2049,
      0.4019,
      0.3418,
      0.212,
      0.2347,
      0.504,
      0.3675,
      0.4444,
      0.3488,
      0.4063,
      0.4267,
      0.4583,
      0.6059,
      0.2378,
      0.286,
      0.3987,
      0.1938,
      0.4257,
      0.6457,
      0.4582,
      0.3327,
      0.2526,
      0.3765,
      0.415,
      0.2652,
      0.3739,
      0.3375,
      0.344,
      0.3751,
      0.514,
      0.2912,
      0.4991,
      0.3561,
      0.5087,
      0.3862,
      0.2103,
      0.0405,
      0.231,
      0.3686,
      0.4753,
      0.2353,
      0.6744,
      0.4864,
      0.54,
      0.3216,
      0.3895,
      0.415,
      0.1664,
      0.2193,
      0.3268,
      0.5016,
      0.3664,
      0.2917,
      0.3059,
      0.5283,
      0.4736,
      0.4248,
      0.4093,
      0.6292,
      0.3549,
      0.1353,
      0.1459,
      0.3857,
      0.3426,
      0.3664,
      0.3563,
      0.4225,
      0.2502,
      0.4511,
      0.3076,
      0.406,
      0.2581,
      0.364,
      0.327,
      0.4422,
      0.5486,
      0.5078,
      0.3541,
      0.4792,
      0.31,
      0.4826,
      0.4147,
      0.4316,
      0.4321,
      0.1429,
      0.5166,
      0.3577,
      0.4873,
      0.4962,
      0.4252,
      0.4464,
      0.4043,
      0.4963,
      0.4815,
      0.4298,
      0.3863,
      0.1151,
      0.148,
      0.2814,
      0.2539,
      0.2774,
      0.29,
      0.3235,
      0.151,
      0.357,
      0.284,
      0.396,
      0.2528,
      0.4039,
      0.2736,
      0.6109,
      0.2035,
      0.2804,
      0.2912,
      0.247,
      0.466,
      0.3384,
      0.4624,
      0.2646,
      0.321,
      0.2823,
      0.2314,
      0.3121,
      0.4142,
      0.3286,
      0.4263,
      0.5653,
      0.4673,
      0.2726,
      0.4971,
      0.3921,
      0.4236,
      0.426,
      0.2585,
      0.5858,
      0.3786,
      0.4778,
      0.4504,
      0.3587,
      0.3666,
      0.4423,
      0.4894,
      0.4728,
      0.3774,
      0.4399,
      0.3872,
      0.4038,
      0.3264,
      0.3358,
      0.3142,
      0.3153,
      0.4013,
      0.521,
      0.3611,
      0.5664,
      0.3484,
      0.3786,
      0.0802,
      0.2731,
      0.4719,
      0.3374,
      0.1861,
      0.1596,
      0.0583,
      0.0587,
      0.1023,
      0.153,
      0.2035,
      0.108,
      0.0628,
      0.1405,
      0,
      0.2657,
      0.1497,
      0.3985,
      0.179,
      0.43,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1606,
      0.0448,
      0.0937,
      0.0223,
      0.0432,
      0.1271,
      0.0738,
      0,
      0.1437,
      0.0665,
      0.1463,
      0.0719,
      0.0586,
      0,
      0.0831,
      0.065,
      0.3442,
      0.3711,
      0.2327,
      0.235,
      0.2988,
      0.4067,
      0.3832,
      0.2929,
      0.4703,
      0.4556,
      0.4048,
      0.3151,
      0.4425,
      0.293,
      0.2081,
      0.1691,
      0.1346,
      0.3567,
      0.3878,
      0.1597,
      0.4469,
      0.3898,
      0.4296,
      0.4695,
      0.2751,
      0.1075,
      0.3015,
      0.176,
      0.4429,
      0.1354,
      0.4385,
      0.4554,
      0.463,
      0.2514,
      0.5197,
      0.4257,
      0.4293,
      0.2649,
      0.1924,
      0.2796,
      0.2539,
      0.275,
      0.3211,
      0.3472,
      0.4083,
      0.5386,
      0.4824,
      0.386,
      0.4061,
      0.4326,
      0.3544,
      0.3451,
      0.3236,
      0.5104,
      0.3203,
      0.3335,
      0.3556,
      0.4901,
      0.4178,
      0.3589,
      0.3479,
      0.2235,
      0.4943,
      0.2832,
      0.1273,
      0.2701,
      0.3225,
      0.369,
      0.3647,
      0.3576,
      0.2491,
      0.385,
      0.3103,
      0.396,
      0.2953,
      0.3439,
      0.3236,
      0.4349,
      0.4428,
      0.5791,
      0.4425,
      0.4399,
      0.3628,
      0.4989,
      0.3513,
      0.3749,
      0.4594,
      0.2486,
      0.6019,
      0.3034,
      0.5392,
      0.4194,
      0.3702,
      0.4254,
      0.4573,
      0.4932,
      0.3729,
      0.4234,
      0.3818,
      0.4007,
      0.29,
      0.1491,
      0.3894,
      0.5085,
      0.3216,
      0.275,
      0.4248,
      0.3381,
      0.3834,
      0.4002,
      0.3736,
      0.406,
      0.3932,
      0.6011,
      0.1897,
      0.2788,
      0.3359,
      0.0991,
      0.42,
      0.6071,
      0.4622,
      0.521,
      0.2594,
      0.3936,
      0.4055,
      0.3128,
      0.4474,
      0.2835,
      0.4959,
      0.4202,
      0.4585,
      0.1959,
      0.5323,
      0.3597,
      0.4766,
      0.3659,
      0.1601,
      0.0131,
      0.252,
      0.362,
      0.5547,
      0.3349,
      0.6148,
      0.4631,
      0.5018,
      0.2587,
      0.3842,
      0.4141,
      0.1606,
      0.1458,
      0.168,
      0.5023,
      0.29,
      0.3108,
      0.2678,
      0.5059,
      0.4937,
      0.3972,
      0.3478,
      0.5715,
      0.2947,
      0.106,
      0.1514,
      0.3022,
      0.3249,
      0.3899,
      0.2936,
      0.4342,
      0.2428,
      0.5085,
      0.2368,
      0.3539,
      0.2207,
      0.4021,
      0.375,
      0.4205,
      0.5573,
      0.5717,
      0.4578,
      0.5359,
      0.3693,
      0.4979,
      0.3657,
      0.4033,
      0.4353,
      0.2231,
      0.5696,
      0.3919,
      0.5479,
      0.4231,
      0.4401,
      0.4708,
      0.3746,
      0.4895,
      0.4208,
      0.3966,
      0.3811,
      0.1582,
      0.1676,
      0.2758,
      0.2992,
      0.2058,
      0.3962,
      0.2631,
      0.2324,
      0.3068,
      0.2468,
      0.3586,
      0.2682,
      0.3804,
      0.2607,
      0.5101,
      0.2255,
      0.3353,
      0.371,
      0.1487,
      0.4276,
      0.4233,
      0.4284,
      0.3027,
      0.2752,
      0.1893,
      0.2289,
      0.3843,
      0.4828,
      0.3671,
      0.4105,
      0.5133,
      0.4717,
      0.2924,
      0.5087,
      0.3428,
      0.3958,
      0.4092,
      0.2292,
      0.5806,
      0.3085,
      0.5275,
      0.3625,
      0.417,
      0.4244,
      0.4338,
      0.5092,
      0.4604,
      0.3874,
      0.364,
      0.2861,
      0.3981,
      0.3152,
      0.336,
      0.2628,
      0.3451,
      0.4074,
      0.5298,
      0.3817,
      0.5584,
      0.2807,
      0.3855,
      0.1349,
      0.4642,
      0.4841,
      0.376,
      0.1516,
      0.1481,
      0,
      0.1384,
      0.1459,
      0.1382,
      0.2118,
      0.1616,
      0.1195,
      0.0895,
      0.1152,
      0.2934,
      0.0734,
      0.3788,
      0.0723,
      0.3762,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1363,
      0.0992,
      0.0416,
      0.0774,
      0.0058,
      0.0471,
      0.0338,
      0.0664,
      0.1304,
      0.1372,
      0.1156,
      0.1631,
      0.0861,
      0.0184,
      0.1182,
      0,
      0.3476,
      0.2165,
      0.1923,
      0.2464,
      0.3044,
      0.4072,
      0.3633,
      0.2984,
      0.5386,
      0.4667,
      0.4342,
      0.3942,
      0.3987,
      0.0941,
      0.3875,
      0.161,
      0.0997,
      0.2508,
      0.334,
      0.2024,
      0.4275,
      0.4282,
      0.3916,
      0.4254,
      0.1928,
      0.1372,
      0.3021,
      0.0785,
      0.4638,
      0.2372,
      0.488,
      0.4433,
      0.5138,
      0.4008,
      0.5427,
      0.4709,
      0.4011,
      0.3061,
      0.2031,
      0.2613,
      0.1899,
      0.2702,
      0.3613,
      0.405,
      0.4277,
      0.4834,
      0.5093,
      0.3644,
      0.4291,
      0.456,
      0.3027,
      0.3472,
      0.2181,
      0.5438,
      0.356,
      0.2556,
      0.318,
      0.5413,
      0.4132,
      0.4411,
      0.4438,
      0.2423,
      0.5531,
      0.3256,
      0.1942,
      0.1733,
      0.2252,
      0.4183,
      0.3665,
      0.3775,
      0.1842,
      0.607,
      0.3206,
      0.3694,
      0.3871,
      0.3967,
      0.4094,
      0.4505,
      0.4948,
      0.5493,
      0.4636,
      0.4989,
      0.3413,
      0.5248,
      0.4127,
      0.4394,
      0.4482,
      0.1374,
      0.6257,
      0.2953,
      0.5318,
      0.3507,
      0.4181,
      0.45,
      0.455,
      0.5115,
      0.4366,
      0.3629,
      0.3322,
      0.3748,
      0.2479,
      0.1246,
      0.377,
      0.5111,
      0.3057,
      0.2541,
      0.5065,
      0.4283,
      0.4167,
      0.3763,
      0.3531,
      0.3588,
      0.3873,
      0.5571,
      0.2016,
      0.1853,
      0.3282,
      0.1389,
      0.4719,
      0.6251,
      0.4536,
      0.3679,
      0.2335,
      0.3564,
      0.3782,
      0.4523,
      0.476,
      0.1952,
      0.4904,
      0.3787,
      0.4964,
      0.3073,
      0.5021,
      0.3762,
      0.5561,
      0.4012,
      0.1386,
      0.1108,
      0.2299,
      0.3848,
      0.519,
      0.3177,
      0.6148,
      0.5032,
      0.493,
      0.2883,
      0.3514,
      0.4259,
      0.1836,
      0.1065,
      0.1629,
      0.4854,
      0.3382,
      0.28,
      0.1587,
      0.5167,
      0.5372,
      0.4475,
      0.4045,
      0.5815,
      0.3034,
      0.1185,
      0.1826,
      0.3212,
      0.2171,
      0.4161,
      0.3105,
      0.4784,
      0.2399,
      0.6358,
      0.3362,
      0.302,
      0.2812,
      0.3783,
      0.3886,
      0.4706,
      0.5415,
      0.5135,
      0.3848,
      0.4768,
      0.3349,
      0.5139,
      0.367,
      0.4388,
      0.4082,
      0.197,
      0.5706,
      0.3125,
      0.5112,
      0.3897,
      0.4485,
      0.4271,
      0.4755,
      0.4907,
      0.5057,
      0.3453,
      0.3624,
      0.0957,
      0.0817,
      0.221,
      0.3787,
      0.1762,
      0.3908,
      0.1823,
      0.1743,
      0.2575,
      0.1662,
      0.3632,
      0.2009,
      0.3515,
      0.2424,
      0.6148,
      0.2333,
      0.3085,
      0.441,
      0.0867,
      0.4498,
      0.383,
      0.4578,
      0.3417,
      0.2963,
      0.1823,
      0.3178,
      0.335,
      0.5051,
      0.3791,
      0.5052,
      0.4539,
      0.5256,
      0.2382,
      0.4881,
      0.409,
      0.4206,
      0.4179,
      0.1691,
      0.5706,
      0.3327,
      0.5038,
      0.3709,
      0.4068,
      0.4251,
      0.4565,
      0.4872,
      0.4337,
      0.3358,
      0.3999,
      0.1772,
      0.4937,
      0.3581,
      0.3338,
      0.2761,
      0.397,
      0.339,
      0.5336,
      0.4304,
      0.4802,
      0.3899,
      0.4628,
      0.0101,
      0.4216,
      0.4476,
      0.3304,
      0.2028,
      0.132,
      0.074,
      0.0663,
      0.1318,
      0.1875,
      0.205,
      0.133,
      0.0637,
      0.079,
      0.1581,
      0.2991,
      0.0508,
      0.4485,
      0.0864,
      0.4703,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1742,
      0.0413,
      0.1385,
      0.0863,
      0,
      0.0153,
      0,
      0.089,
      0.1729,
      0.113,
      0.1372,
      0.1386,
      0.0738,
      0.0106,
      0.0322,
      0.0645,
      0.2942,
      0.2247,
      0.1795,
      0.2627,
      0.3858,
      0.4961,
      0.3062,
      0.3237,
      0.5135,
      0.4367,
      0.4435,
      0.4133,
      0.4759,
      0.1469,
      0.3021,
      0.0867,
      0.1447,
      0.147,
      0.3173,
      0.1869,
      0.3957,
      0.4231,
      0.3714,
      0.3598,
      0.2002,
      0.1347,
      0.3507,
      0.1715,
      0.393,
      0.1966,
      0.5044,
      0.3874,
      0.5275,
      0.3426,
      0.4993,
      0.4764,
      0.402,
      0.341,
      0.0365,
      0.2313,
      0.1324,
      0.2466,
      0.2988,
      0.3838,
      0.4031,
      0.4951,
      0.4498,
      0.3547,
      0.4486,
      0.3925,
      0.2634,
      0.2663,
      0.2329,
      0.4745,
      0.2952,
      0.2138,
      0.3224,
      0.5299,
      0.4744,
      0.4189,
      0.4,
      0.2518,
      0.5466,
      0.3034,
      0.1007,
      0.2668,
      0.353,
      0.4135,
      0.3531,
      0.4192,
      0.2296,
      0.3581,
      0.3652,
      0.3769,
      0.2807,
      0.3728,
      0.4026,
      0.4354,
      0.5335,
      0.5143,
      0.3928,
      0.5211,
      0.3565,
      0.4735,
      0.3903,
      0.3308,
      0.4358,
      0.1485,
      0.6607,
      0.3254,
      0.4248,
      0.3753,
      0.4354,
      0.4525,
      0.4379,
      0.5057,
      0.3814,
      0.3943,
      0.4121,
      0.2877,
      0.2251,
      0.1328,
      0.3895,
      0.3672,
      0.2403,
      0.3809,
      0.4663,
      0.4298,
      0.4027,
      0.3729,
      0.3181,
      0.4227,
      0.4176,
      0.6188,
      0.1996,
      0.1806,
      0.3201,
      0.1586,
      0.4073,
      0.5567,
      0.4453,
      0.2895,
      0.176,
      0.3391,
      0.3579,
      0.4922,
      0.4433,
      0.3095,
      0.4564,
      0.3382,
      0.5344,
      0.2884,
      0.5375,
      0.3824,
      0.5087,
      0.3867,
      0.1613,
      0.1627,
      0.1657,
      0.3489,
      0.4192,
      0.3038,
      0.6457,
      0.4154,
      0.4656,
      0.3403,
      0.3695,
      0.3916,
      0.2268,
      0.1898,
      0.1648,
      0.4707,
      0.3206,
      0.3,
      0.2056,
      0.5528,
      0.552,
      0.4245,
      0.4031,
      0.489,
      0.2422,
      0.1786,
      0.1441,
      0.3342,
      0.253,
      0.4277,
      0.3613,
      0.4797,
      0.2488,
      0.4618,
      0.4003,
      0.392,
      0.2501,
      0.365,
      0.4074,
      0.4804,
      0.4905,
      0.551,
      0.3953,
      0.5305,
      0.3121,
      0.4827,
      0.4002,
      0.4042,
      0.4182,
      0.1988,
      0.6333,
      0.2092,
      0.4424,
      0.408,
      0.4451,
      0.4163,
      0.4633,
      0.4693,
      0.4631,
      0.4201,
      0.4323,
      0,
      0.0449,
      0.279,
      0.3446,
      0.1728,
      0.3341,
      0.1923,
      0.1792,
      0.3376,
      0.2273,
      0.4083,
      0.2123,
      0.3111,
      0.1789,
      0.5752,
      0.3072,
      0.2432,
      0.4172,
      0.0743,
      0.43,
      0.3701,
      0.4544,
      0.2459,
      0.3176,
      0.2642,
      0.3334,
      0.2605,
      0.4099,
      0.3641,
      0.5095,
      0.4176,
      0.5531,
      0.233,
      0.4899,
      0.3817,
      0.4016,
      0.4211,
      0.2019,
      0.6348,
      0.257,
      0.4659,
      0.3265,
      0.427,
      0.4311,
      0.4278,
      0.5279,
      0.4185,
      0.384,
      0.4526,
      0.2815,
      0.3873,
      0.3842,
      0.3501,
      0.2589,
      0.3165,
      0.3947,
      0.4766,
      0.46,
      0.454,
      0.3769,
      0.4544,
      0.1486,
      0.278,
      0.4606,
      0.3619,
      0.1682,
      0.0678,
      0.0516,
      0.0765,
      0.0545,
      0.1065,
      0.1999,
      0.1145,
      0.0917,
      0.1156,
      0.1963,
      0.3861,
      0.1222,
      0.4604,
      0.0353,
      0.4219,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1933,
      0.1259,
      0.0575,
      0.0058,
      0,
      0,
      0,
      0.0581,
      0.1983,
      0.0747,
      0.1422,
      0.0634,
      0.1029,
      0.0592,
      0.0715,
      0.09,
      0.2315,
      0.2008,
      0.1551,
      0.1716,
      0.278,
      0.5404,
      0.3569,
      0.4195,
      0.5108,
      0.4636,
      0.4164,
      0.3452,
      0.4105,
      0.1585,
      0.4225,
      0.1619,
      0.1196,
      0.2609,
      0.2782,
      0.1382,
      0.5213,
      0.4548,
      0.4717,
      0.4637,
      0.1865,
      0.1385,
      0.3248,
      0.1467,
      0.4136,
      0.1262,
      0.4691,
      0.4768,
      0.4673,
      0.4222,
      0.5142,
      0.4871,
      0.4316,
      0.3164,
      0.1854,
      0.1951,
      0.1515,
      0.2528,
      0.3665,
      0.3766,
      0.4921,
      0.4998,
      0.4846,
      0.4024,
      0.4454,
      0.3763,
      0.2431,
      0.1873,
      0.2068,
      0.469,
      0.2732,
      0.3175,
      0.3002,
      0.5543,
      0.4682,
      0.3949,
      0.3534,
      0.245,
      0.5293,
      0.2923,
      0.1104,
      0.2687,
      0.2609,
      0.4198,
      0.3113,
      0.4266,
      0.1972,
      0.4501,
      0.3011,
      0.3532,
      0.203,
      0.3411,
      0.4155,
      0.405,
      0.5305,
      0.5025,
      0.4863,
      0.4759,
      0.3518,
      0.4847,
      0.3938,
      0.3038,
      0.4092,
      0.1489,
      0.6382,
      0.3496,
      0.4438,
      0.3784,
      0.4016,
      0.4591,
      0.5142,
      0.5015,
      0.4498,
      0.3814,
      0.3893,
      0.3429,
      0.1964,
      0.1737,
      0.3582,
      0.3368,
      0.2802,
      0.3557,
      0.444,
      0.4411,
      0.4162,
      0.4041,
      0.3686,
      0.4097,
      0.3058,
      0.632,
      0.2133,
      0.3155,
      0.405,
      0.1285,
      0.4729,
      0.6387,
      0.4722,
      0.1827,
      0.2008,
      0.2583,
      0.4219,
      0.37,
      0.4077,
      0.2673,
      0.4189,
      0.3993,
      0.51,
      0.3036,
      0.4556,
      0.3703,
      0.5476,
      0.4022,
      0.191,
      0.1778,
      0.288,
      0.3974,
      0.4182,
      0.3024,
      0.5223,
      0.4863,
      0.5024,
      0.3949,
      0.3839,
      0.4442,
      0.3645,
      0.1556,
      0.1076,
      0.4637,
      0.3479,
      0.2512,
      0.2972,
      0.5792,
      0.5521,
      0.4145,
      0.3808,
      0.6053,
      0.3171,
      0.1387,
      0.1047,
      0.3386,
      0.256,
      0.4037,
      0.3631,
      0.4462,
      0.2419,
      0.5139,
      0.3332,
      0.4556,
      0.2577,
      0.3232,
      0.4014,
      0.3632,
      0.4624,
      0.4696,
      0.3629,
      0.4816,
      0.355,
      0.4927,
      0.3764,
      0.3236,
      0.4056,
      0.2177,
      0.6545,
      0.3439,
      0.4908,
      0.3666,
      0.3958,
      0.4699,
      0.4877,
      0.5041,
      0.5344,
      0.4259,
      0.434,
      0.0266,
      0,
      0.2497,
      0.26,
      0.1808,
      0.3399,
      0.2151,
      0.1739,
      0.3575,
      0.2983,
      0.3707,
      0.2057,
      0.3486,
      0.2428,
      0.6364,
      0.2256,
      0.2509,
      0.3921,
      0.1751,
      0.4682,
      0.4346,
      0.498,
      0.2369,
      0.3286,
      0.2842,
      0.2573,
      0.3011,
      0.412,
      0.3739,
      0.4179,
      0.4553,
      0.4204,
      0.3049,
      0.5048,
      0.3777,
      0.3426,
      0.4148,
      0.217,
      0.635,
      0.3493,
      0.4709,
      0.3725,
      0.3361,
      0.4578,
      0.4769,
      0.4983,
      0.5179,
      0.415,
      0.415,
      0.2571,
      0.429,
      0.3514,
      0.291,
      0.2813,
      0.3058,
      0.4036,
      0.5011,
      0.4406,
      0.486,
      0.3612,
      0.4196,
      0.0889,
      0.2145,
      0.4402,
      0.36,
      0.058,
      0.1269,
      0.0673,
      0.0726,
      0.1044,
      0.0905,
      0.1718,
      0.1204,
      0.026,
      0.1615,
      0.0742,
      0.4022,
      0.1107,
      0.4644,
      0.0675,
      0.4958,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1723,
      0.028,
      0.1371,
      0.0077,
      0.0968,
      0,
      0,
      0.0083,
      0.1727,
      0.0228,
      0.143,
      0.0839,
      0.1043,
      0.0181,
      0.0433,
      0.0604,
      0.3252,
      0.1661,
      0.2194,
      0.2719,
      0.397,
      0.3914,
      0.3622,
      0.3717,
      0.5189,
      0.4411,
      0.4443,
      0.4093,
      0.4873,
      0.1922,
      0.341,
      0.2018,
      0.1698,
      0.1449,
      0.3371,
      0.2204,
      0.5072,
      0.479,
      0.486,
      0.4337,
      0.2424,
      0.144,
      0.2641,
      0.14,
      0.3208,
      0.1583,
      0.4843,
      0.4381,
      0.4804,
      0.3673,
      0.6292,
      0.5074,
      0.3826,
      0.2471,
      0.1648,
      0.1986,
      0.2113,
      0.2477,
      0.3375,
      0.3722,
      0.4826,
      0.5217,
      0.4857,
      0.393,
      0.4322,
      0.3559,
      0.199,
      0.2022,
      0.2151,
      0.4816,
      0.3032,
      0.3142,
      0.2816,
      0.4562,
      0.4845,
      0.3379,
      0.3761,
      0.2657,
      0.5111,
      0.289,
      0.2236,
      0.2692,
      0.2548,
      0.3663,
      0.302,
      0.4239,
      0.2209,
      0.4708,
      0.2831,
      0.3981,
      0.1772,
      0.2904,
      0.4154,
      0.3788,
      0.441,
      0.5158,
      0.496,
      0.5059,
      0.3163,
      0.5237,
      0.2991,
      0.3498,
      0.3175,
      0.1311,
      0.6143,
      0.3388,
      0.5048,
      0.3916,
      0.4028,
      0.477,
      0.5379,
      0.4855,
      0.4749,
      0.4431,
      0.3785,
      0.4164,
      0.1907,
      0.238,
      0.4038,
      0.3379,
      0.2927,
      0.3006,
      0.4361,
      0.4672,
      0.4388,
      0.3676,
      0.3861,
      0.416,
      0.476,
      0.6032,
      0.1899,
      0.2598,
      0.3676,
      0.1409,
      0.4607,
      0.6066,
      0.4904,
      0.3287,
      0.2403,
      0.2541,
      0.3669,
      0.3008,
      0.3536,
      0.3088,
      0.5045,
      0.4722,
      0.5445,
      0.3611,
      0.5681,
      0.3825,
      0.5189,
      0.3766,
      0.1699,
      0.1653,
      0.2671,
      0.3936,
      0.4694,
      0.3331,
      0.6322,
      0.5614,
      0.5067,
      0.3739,
      0.4098,
      0.4501,
      0.1386,
      0.151,
      0.1507,
      0.4644,
      0.3991,
      0.3614,
      0.2378,
      0.611,
      0.5464,
      0.4311,
      0.4222,
      0.4731,
      0.3256,
      0.1412,
      0.1946,
      0.3252,
      0.2995,
      0.3839,
      0.3736,
      0.4906,
      0.2334,
      0.5254,
      0.3521,
      0.4358,
      0.2573,
      0.3094,
      0.3262,
      0.4048,
      0.4428,
      0.4523,
      0.3214,
      0.5049,
      0.2478,
      0.5642,
      0.3661,
      0.3822,
      0.3582,
      0.1271,
      0.5786,
      0.3196,
      0.5418,
      0.4305,
      0.3996,
      0.446,
      0.5225,
      0.5209,
      0.5221,
      0.3989,
      0.3554,
      0.0899,
      0.0688,
      0.3226,
      0.1884,
      0.2219,
      0.4053,
      0.2654,
      0.1432,
      0.3201,
      0.392,
      0.4235,
      0.3006,
      0.3448,
      0.289,
      0.5527,
      0.313,
      0.3138,
      0.4395,
      0.254,
      0.5027,
      0.4182,
      0.5046,
      0.2978,
      0.284,
      0.2589,
      0.3289,
      0.2823,
      0.3825,
      0.3899,
      0.4906,
      0.4357,
      0.5364,
      0.2775,
      0.5185,
      0.3343,
      0.3757,
      0.3967,
      0.1996,
      0.5972,
      0.3343,
      0.5304,
      0.3697,
      0.3692,
      0.4701,
      0.49,
      0.5255,
      0.5154,
      0.399,
      0.4533,
      0.3258,
      0.3815,
      0.3006,
      0.2988,
      0.245,
      0.3524,
      0.3848,
      0.4596,
      0.4963,
      0.4384,
      0.3061,
      0.4297,
      0.0706,
      0.3261,
      0.4907,
      0.3759,
      0.0962,
      0.1159,
      0.1024,
      0.0775,
      0.0878,
      0.1039,
      0.184,
      0.2625,
      0.1504,
      0.172,
      0.1105,
      0.3607,
      0.1312,
      0.3618,
      0.0529,
      0.4376,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0962,
      0.1124,
      0.1242,
      0.0364,
      0.0692,
      0.078,
      0.0151,
      0,
      0.07,
      0.0355,
      0.0372,
      0.0676,
      0.0736,
      0,
      0.0207,
      0.0857,
      0.3164,
      0.2822,
      0.3734,
      0.4158,
      0.3852,
      0.3679,
      0.3445,
      0.3403,
      0.4494,
      0.4055,
      0.3295,
      0.3366,
      0.3665,
      0.1869,
      0.2583,
      0.2508,
      0.0716,
      0.3285,
      0.3641,
      0.2396,
      0.5006,
      0.4385,
      0.4735,
      0.5196,
      0.2478,
      0.2169,
      0.3434,
      0.1505,
      0.3434,
      0.2108,
      0.4622,
      0.4178,
      0.5236,
      0.4012,
      0.5755,
      0.5476,
      0.4407,
      0.2172,
      0.2342,
      0.2875,
      0.3229,
      0.2236,
      0.4524,
      0.3834,
      0.5614,
      0.5113,
      0.5501,
      0.391,
      0.4951,
      0.3329,
      0.2391,
      0.2593,
      0.3366,
      0.5912,
      0.3348,
      0.2723,
      0.3077,
      0.4752,
      0.4036,
      0.3538,
      0.3664,
      0.2847,
      0.5467,
      0.29,
      0.3489,
      0.2562,
      0.3388,
      0.3971,
      0.3227,
      0.49,
      0.1846,
      0.4366,
      0.3482,
      0.3796,
      0.2697,
      0.3628,
      0.3995,
      0.4086,
      0.5133,
      0.5252,
      0.4565,
      0.5272,
      0.3461,
      0.5749,
      0.38,
      0.3914,
      0.3711,
      0.2261,
      0.5992,
      0.3771,
      0.4612,
      0.5119,
      0.4004,
      0.5457,
      0.5281,
      0.5648,
      0.4486,
      0.4945,
      0.4142,
      0.4996,
      0.2137,
      0.3604,
      0.3753,
      0.3837,
      0.3151,
      0.2586,
      0.4555,
      0.3685,
      0.3811,
      0.3509,
      0.4454,
      0.4436,
      0.3964,
      0.5385,
      0.2354,
      0.301,
      0.3778,
      0.218,
      0.4472,
      0.6425,
      0.5139,
      0.4442,
      0.2615,
      0.2702,
      0.3692,
      0.2666,
      0.3991,
      0.2973,
      0.4955,
      0.4458,
      0.5633,
      0.2499,
      0.5582,
      0.3742,
      0.5345,
      0.3729,
      0.2365,
      0.2107,
      0.3169,
      0.3683,
      0.4911,
      0.2753,
      0.6264,
      0.5408,
      0.5609,
      0.3962,
      0.4649,
      0.421,
      0.2154,
      0.2954,
      0.2887,
      0.4619,
      0.3933,
      0.3502,
      0.269,
      0.5761,
      0.4999,
      0.3129,
      0.4101,
      0.5604,
      0.2866,
      0.155,
      0.2126,
      0.356,
      0.3919,
      0.402,
      0.394,
      0.5176,
      0.2313,
      0.5325,
      0.3696,
      0.4392,
      0.2942,
      0.3497,
      0.3963,
      0.379,
      0.4347,
      0.5125,
      0.3786,
      0.5237,
      0.3242,
      0.5236,
      0.4209,
      0.4121,
      0.3955,
      0.2994,
      0.5146,
      0.3152,
      0.4713,
      0.5032,
      0.4108,
      0.5239,
      0.5249,
      0.5644,
      0.5108,
      0.4747,
      0.3829,
      0.0379,
      0.0165,
      0.2342,
      0.2564,
      0.1913,
      0.4489,
      0.2331,
      0.1499,
      0.3806,
      0.3079,
      0.3851,
      0.2183,
      0.3677,
      0.2246,
      0.6124,
      0.3458,
      0.3035,
      0.4193,
      0.2105,
      0.5371,
      0.3638,
      0.5318,
      0.3652,
      0.3374,
      0.2972,
      0.3572,
      0.316,
      0.4123,
      0.4101,
      0.5132,
      0.4535,
      0.5143,
      0.2501,
      0.5548,
      0.4295,
      0.3444,
      0.3727,
      0.2565,
      0.5591,
      0.3058,
      0.4346,
      0.3502,
      0.3828,
      0.5365,
      0.4992,
      0.5865,
      0.5047,
      0.4587,
      0.4913,
      0.3755,
      0.4762,
      0.35,
      0.4083,
      0.3031,
      0.3356,
      0.4003,
      0.422,
      0.4175,
      0.4809,
      0.3555,
      0.3676,
      0.1313,
      0.3073,
      0.5167,
      0.3149,
      0.3468,
      0.3104,
      0.3156,
      0.2579,
      0.342,
      0.229,
      0.2492,
      0.1669,
      0.0688,
      0.1601,
      0.1035,
      0.323,
      0.1224,
      0.4082,
      0.1643,
      0.4169,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1702,
      0.1776,
      0.167,
      0.1407,
      0.1547,
      0.1034,
      0.0715,
      0,
      0.0844,
      0.0628,
      0.0271,
      0.0301,
      0.0647,
      0.0454,
      0.002,
      0.0209,
      0.3292,
      0.4046,
      0.4129,
      0.329,
      0.4421,
      0.3293,
      0.3803,
      0.2954,
      0.4183,
      0.4291,
      0.3867,
      0.3469,
      0.3774,
      0.186,
      0.2082,
      0.1804,
      0.1934,
      0.4613,
      0.3188,
      0.1889,
      0.4696,
      0.467,
      0.4011,
      0.5399,
      0.1877,
      0.2839,
      0.3539,
      0.1817,
      0.3766,
      0.1732,
      0.442,
      0.4569,
      0.5338,
      0.4052,
      0.4915,
      0.4169,
      0.4269,
      0.3249,
      0.2603,
      0.2588,
      0.2404,
      0.2533,
      0.4116,
      0.3922,
      0.476,
      0.5039,
      0.5506,
      0.4026,
      0.4971,
      0.404,
      0.3527,
      0.2556,
      0.361,
      0.6081,
      0.2714,
      0.2055,
      0.2893,
      0.458,
      0.4861,
      0.3767,
      0.3339,
      0.1793,
      0.5455,
      0.2903,
      0.2456,
      0.1714,
      0.3197,
      0.36,
      0.3647,
      0.5006,
      0.2042,
      0.3924,
      0.3134,
      0.3197,
      0.2571,
      0.3558,
      0.386,
      0.3982,
      0.4195,
      0.5395,
      0.4496,
      0.5571,
      0.3283,
      0.5096,
      0.3395,
      0.3431,
      0.3637,
      0.2517,
      0.6424,
      0.3451,
      0.4932,
      0.4362,
      0.399,
      0.4788,
      0.4573,
      0.5365,
      0.3868,
      0.4799,
      0.4135,
      0.4319,
      0.2849,
      0.3465,
      0.459,
      0.3642,
      0.2847,
      0.3822,
      0.4925,
      0.4869,
      0.4068,
      0.4293,
      0.4282,
      0.4417,
      0.4281,
      0.6202,
      0.199,
      0.3975,
      0.4136,
      0.3004,
      0.4947,
      0.6805,
      0.4704,
      0.2517,
      0.454,
      0.2828,
      0.3764,
      0.3509,
      0.404,
      0.3543,
      0.4398,
      0.4562,
      0.555,
      0.3298,
      0.5447,
      0.3479,
      0.5119,
      0.3317,
      0.2277,
      0.2195,
      0.3496,
      0.3909,
      0.4629,
      0.374,
      0.6249,
      0.5131,
      0.5404,
      0.314,
      0.4519,
      0.4138,
      0.3429,
      0.198,
      0.3526,
      0.4071,
      0.3964,
      0.2252,
      0.287,
      0.5981,
      0.5735,
      0.4322,
      0.3892,
      0.5146,
      0.3429,
      0.1349,
      0.1483,
      0.2797,
      0.3616,
      0.4175,
      0.3924,
      0.5248,
      0.2757,
      0.4814,
      0.3108,
      0.4161,
      0.3268,
      0.3509,
      0.3837,
      0.4123,
      0.4256,
      0.4949,
      0.319,
      0.5335,
      0.3773,
      0.5349,
      0.3912,
      0.4187,
      0.393,
      0.253,
      0.621,
      0.2548,
      0.5098,
      0.4358,
      0.4324,
      0.4597,
      0.5142,
      0.539,
      0.4764,
      0.4681,
      0.3733,
      0.0031,
      0.1567,
      0.2482,
      0.3471,
      0.2037,
      0.3581,
      0.206,
      0.1868,
      0.3467,
      0.3223,
      0.3577,
      0.1922,
      0.2725,
      0.2205,
      0.5879,
      0.2797,
      0.319,
      0.4205,
      0.1884,
      0.4903,
      0.3121,
      0.477,
      0.2528,
      0.3427,
      0.3273,
      0.3662,
      0.2805,
      0.3919,
      0.4214,
      0.4824,
      0.5031,
      0.5294,
      0.2964,
      0.5433,
      0.3787,
      0.358,
      0.3694,
      0.2365,
      0.5895,
      0.3011,
      0.4757,
      0.3672,
      0.3919,
      0.4626,
      0.5195,
      0.5381,
      0.4562,
      0.451,
      0.4748,
      0.327,
      0.4556,
      0.3891,
      0.3821,
      0.321,
      0.3082,
      0.3687,
      0.5045,
      0.4507,
      0.5609,
      0.357,
      0.3348,
      0.1078,
      0.2865,
      0.4273,
      0.3123,
      0.2655,
      0.2857,
      0.2726,
      0.2532,
      0.293,
      0.2622,
      0.3017,
      0.1424,
      0.155,
      0.125,
      0.1521,
      0.3294,
      0.1426,
      0.4498,
      0.251,
      0.4642,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2061,
      0.2088,
      0.0973,
      0.0569,
      0.0609,
      0.0256,
      0.0342,
      0,
      0.1158,
      0.065,
      0.0487,
      0.0283,
      0.0516,
      0.0588,
      0.1278,
      0.0742,
      0.3341,
      0.3575,
      0.2279,
      0.2127,
      0.3526,
      0.3232,
      0.3205,
      0.305,
      0.4538,
      0.3944,
      0.2642,
      0.2692,
      0.347,
      0.2569,
      0.1869,
      0.1565,
      0.1597,
      0.3754,
      0.4115,
      0.1045,
      0.4216,
      0.4305,
      0.3557,
      0.4927,
      0.2204,
      0.2083,
      0.364,
      0.2125,
      0.3754,
      0.1702,
      0.4949,
      0.4384,
      0.4882,
      0.3358,
      0.5287,
      0.4894,
      0.4176,
      0.3369,
      0.1688,
      0.333,
      0.2533,
      0.2918,
      0.3993,
      0.3376,
      0.5032,
      0.4539,
      0.5299,
      0.3413,
      0.4167,
      0.3456,
      0.2353,
      0.2761,
      0.3117,
      0.5911,
      0.2049,
      0.2023,
      0.288,
      0.3799,
      0.4275,
      0.2721,
      0.3125,
      0.198,
      0.5977,
      0.3274,
      0.1499,
      0.2573,
      0.3201,
      0.3632,
      0.3443,
      0.422,
      0.2663,
      0.4165,
      0.3477,
      0.2968,
      0.2719,
      0.3528,
      0.4105,
      0.4387,
      0.4524,
      0.5207,
      0.4514,
      0.4793,
      0.3316,
      0.441,
      0.3915,
      0.3735,
      0.453,
      0.1606,
      0.6323,
      0.2685,
      0.4886,
      0.428,
      0.4454,
      0.5338,
      0.4272,
      0.513,
      0.4644,
      0.387,
      0.3584,
      0.386,
      0.1933,
      0.207,
      0.4544,
      0.5498,
      0.2341,
      0.3244,
      0.4052,
      0.3938,
      0.3992,
      0.4868,
      0.4572,
      0.3868,
      0.3724,
      0.613,
      0.196,
      0.3273,
      0.4265,
      0.1333,
      0.4014,
      0.5999,
      0.426,
      0.3916,
      0.3093,
      0.3115,
      0.4024,
      0.317,
      0.4361,
      0.2331,
      0.4759,
      0.4186,
      0.5165,
      0.283,
      0.5163,
      0.2942,
      0.4689,
      0.3486,
      0.0957,
      0.1112,
      0.2542,
      0.3964,
      0.5623,
      0.3495,
      0.5226,
      0.4153,
      0.5136,
      0.3114,
      0.3421,
      0.3808,
      0.2668,
      0.2138,
      0.1946,
      0.4054,
      0.3456,
      0.333,
      0.2591,
      0.5067,
      0.5525,
      0.3042,
      0.2683,
      0.5612,
      0.3697,
      0.1253,
      0.1755,
      0.3228,
      0.2978,
      0.3314,
      0.3559,
      0.433,
      0.2615,
      0.4649,
      0.2927,
      0.3624,
      0.2668,
      0.3416,
      0.3774,
      0.3868,
      0.3862,
      0.4462,
      0.4192,
      0.5124,
      0.3794,
      0.5133,
      0.3967,
      0.423,
      0.4315,
      0.1796,
      0.5787,
      0.3997,
      0.5114,
      0.4628,
      0.4046,
      0.5325,
      0.4265,
      0.5302,
      0.4483,
      0.3949,
      0.4142,
      0.1611,
      0.1988,
      0.3666,
      0.3612,
      0.2702,
      0.3216,
      0.1669,
      0.1441,
      0.4042,
      0.3497,
      0.4464,
      0.1975,
      0.3309,
      0.2092,
      0.573,
      0.3588,
      0.3716,
      0.3773,
      0.1969,
      0.4759,
      0.3493,
      0.4496,
      0.2483,
      0.3796,
      0.3607,
      0.3536,
      0.3898,
      0.3961,
      0.3904,
      0.495,
      0.5047,
      0.4793,
      0.2829,
      0.501,
      0.3829,
      0.382,
      0.427,
      0.1447,
      0.5892,
      0.2633,
      0.4763,
      0.3587,
      0.3531,
      0.5431,
      0.4228,
      0.5141,
      0.4471,
      0.3659,
      0.3668,
      0.361,
      0.4286,
      0.3705,
      0.3726,
      0.326,
      0.3627,
      0.3709,
      0.4633,
      0.4139,
      0.5301,
      0.2597,
      0.3688,
      0.0998,
      0.4253,
      0.5011,
      0.3319,
      0.2259,
      0.1244,
      0.0936,
      0.1248,
      0.1248,
      0.2145,
      0.2582,
      0.0556,
      0.1322,
      0.0664,
      0.1158,
      0.38,
      0.144,
      0.4399,
      0.2157,
      0.4181,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1874,
      0.1104,
      0.0992,
      0,
      0.0207,
      0,
      0.0279,
      0.0667,
      0.0849,
      0,
      0,
      0,
      0,
      0,
      0.1232,
      0.0756,
      0.2999,
      0.1801,
      0.1619,
      0.2439,
      0.3572,
      0.335,
      0.3266,
      0.3343,
      0.4278,
      0.4376,
      0.3201,
      0.3489,
      0.338,
      0.1749,
      0.1768,
      0.1971,
      0.1853,
      0.2056,
      0.3139,
      0.2755,
      0.4415,
      0.5337,
      0.3758,
      0.4776,
      0.1584,
      0.1753,
      0.3876,
      0.2129,
      0.4507,
      0.1329,
      0.428,
      0.4347,
      0.4426,
      0.377,
      0.5323,
      0.4227,
      0.3617,
      0.3039,
      0.1303,
      0.2846,
      0.2269,
      0.2541,
      0.3806,
      0.3555,
      0.4698,
      0.4905,
      0.4402,
      0.3462,
      0.3666,
      0.3847,
      0.233,
      0.3382,
      0.2569,
      0.5276,
      0.2182,
      0.2679,
      0.3381,
      0.4705,
      0.4454,
      0.3536,
      0.3216,
      0.1134,
      0.5799,
      0.2961,
      0.1583,
      0.1603,
      0.2796,
      0.3857,
      0.3858,
      0.4114,
      0.2033,
      0.4238,
      0.3108,
      0.3318,
      0.1746,
      0.4058,
      0.3779,
      0.3003,
      0.5267,
      0.4956,
      0.4108,
      0.4933,
      0.3437,
      0.4406,
      0.4227,
      0.3953,
      0.4005,
      0.177,
      0.6471,
      0.3376,
      0.4282,
      0.3957,
      0.3605,
      0.4507,
      0.4139,
      0.4638,
      0.4106,
      0.3727,
      0.4041,
      0.3077,
      0.2393,
      0.1895,
      0.4195,
      0.3539,
      0.1504,
      0.3764,
      0.4927,
      0.3992,
      0.324,
      0.3642,
      0.4562,
      0.3041,
      0.45,
      0.5608,
      0.144,
      0.2365,
      0.3734,
      0.1553,
      0.4526,
      0.5418,
      0.4316,
      0.4116,
      0.2752,
      0.2222,
      0.4237,
      0.4964,
      0.4269,
      0.2972,
      0.4608,
      0.3342,
      0.4336,
      0.2589,
      0.4944,
      0.3529,
      0.5022,
      0.3581,
      0.1674,
      0.0785,
      0.1628,
      0.3416,
      0.5884,
      0.3254,
      0.5412,
      0.3894,
      0.4197,
      0.2475,
      0.3437,
      0.4701,
      0.1843,
      0.1715,
      0.2106,
      0.358,
      0.3779,
      0.2965,
      0.3028,
      0.5243,
      0.5151,
      0.413,
      0.3404,
      0.5608,
      0.3302,
      0.1373,
      0.1919,
      0.2597,
      0.3174,
      0.2975,
      0.2791,
      0.3233,
      0.0921,
      0.4607,
      0.2923,
      0.3185,
      0.2404,
      0.4244,
      0.3738,
      0.3615,
      0.4827,
      0.4441,
      0.3364,
      0.4785,
      0.363,
      0.4556,
      0.4092,
      0.4602,
      0.3733,
      0.1924,
      0.6242,
      0.3126,
      0.4509,
      0.4116,
      0.3902,
      0.4964,
      0.4063,
      0.3598,
      0.4851,
      0.3331,
      0.3658,
      0.0738,
      0.1693,
      0.2346,
      0.2859,
      0.2323,
      0.3726,
      0.2287,
      0.1705,
      0.3939,
      0.4476,
      0.4412,
      0.3061,
      0.3459,
      0.2977,
      0.6334,
      0.336,
      0.4303,
      0.3884,
      0.1577,
      0.4488,
      0.2119,
      0.3966,
      0.2822,
      0.31,
      0.3699,
      0.3903,
      0.3282,
      0.4309,
      0.3724,
      0.4575,
      0.4805,
      0.4563,
      0.3252,
      0.4418,
      0.3658,
      0.4164,
      0.4149,
      0.1541,
      0.6162,
      0.2708,
      0.4566,
      0.2978,
      0.3724,
      0.4415,
      0.4588,
      0.4645,
      0.4656,
      0.3437,
      0.433,
      0.2557,
      0.4235,
      0.335,
      0.3595,
      0.2999,
      0.3203,
      0.3834,
      0.4243,
      0.3767,
      0.5753,
      0.3996,
      0.3261,
      0.129,
      0.3257,
      0.4616,
      0.3036,
      0.1915,
      0.1243,
      0.0107,
      0.1104,
      0.1174,
      0.1211,
      0.2449,
      0.0846,
      0.1842,
      0.1951,
      0.155,
      0.4111,
      0.1299,
      0.4218,
      0.0881,
      0.4304,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1785,
      0.1226,
      0.0359,
      0.083,
      0.0557,
      0,
      0.0231,
      0.1229,
      0.1367,
      0.0554,
      0,
      0.0072,
      0,
      0,
      0.0801,
      0.0373,
      0.2871,
      0.2079,
      0.1664,
      0.2369,
      0.3392,
      0.3624,
      0.3751,
      0.2914,
      0.5072,
      0.4521,
      0.3447,
      0.3451,
      0.3648,
      0.1898,
      0.2924,
      0.202,
      0.1134,
      0.207,
      0.2912,
      0.1423,
      0.405,
      0.5109,
      0.2852,
      0.41,
      0.2514,
      0.1076,
      0.3191,
      0.1956,
      0.3625,
      0.144,
      0.5037,
      0.4358,
      0.5042,
      0.375,
      0.5378,
      0.5291,
      0.4223,
      0.3,
      0.0897,
      0.2581,
      0.2028,
      0.2661,
      0.3691,
      0.2895,
      0.5193,
      0.4442,
      0.5319,
      0.3552,
      0.4834,
      0.3862,
      0.2328,
      0.2946,
      0.2748,
      0.5806,
      0.3053,
      0.2493,
      0.3234,
      0.5084,
      0.4564,
      0.3691,
      0.3449,
      0.1742,
      0.6118,
      0.2855,
      0.1748,
      0.2187,
      0.3218,
      0.348,
      0.3382,
      0.3173,
      0.2186,
      0.364,
      0.302,
      0.3476,
      0.2783,
      0.3579,
      0.3734,
      0.3886,
      0.4501,
      0.5172,
      0.457,
      0.4802,
      0.2882,
      0.4976,
      0.3592,
      0.374,
      0.3702,
      0.0673,
      0.6352,
      0.3508,
      0.4574,
      0.3955,
      0.3487,
      0.4894,
      0.3392,
      0.5414,
      0.377,
      0.4332,
      0.4395,
      0.3421,
      0.2026,
      0.118,
      0.3586,
      0.3809,
      0.3927,
      0.4026,
      0.5118,
      0.4548,
      0.4114,
      0.3436,
      0.4366,
      0.3955,
      0.3722,
      0.6178,
      0.1818,
      0.2846,
      0.3329,
      0.2059,
      0.4062,
      0.5779,
      0.3322,
      0.3206,
      0.2765,
      0.123,
      0.2644,
      0.5329,
      0.4502,
      0.2024,
      0.4741,
      0.4313,
      0.5374,
      0.2866,
      0.4916,
      0.3456,
      0.5007,
      0.3412,
      0.1718,
      0.095,
      0.1676,
      0.2668,
      0.4466,
      0.2328,
      0.6051,
      0.3043,
      0.5292,
      0.3127,
      0.4154,
      0.3977,
      0.1959,
      0.2146,
      0.1073,
      0.4335,
      0.3799,
      0.3737,
      0.2623,
      0.4836,
      0.5287,
      0.4124,
      0.3115,
      0.6016,
      0.3169,
      0.1672,
      0.1887,
      0.3643,
      0.2441,
      0.3185,
      0.3165,
      0.4154,
      0.2166,
      0.3968,
      0.3623,
      0.2877,
      0.2578,
      0.4235,
      0.3954,
      0.4665,
      0.3842,
      0.5183,
      0.3609,
      0.492,
      0.3009,
      0.4353,
      0.3823,
      0.4631,
      0.368,
      0.2117,
      0.5926,
      0.3734,
      0.5144,
      0.398,
      0.243,
      0.5234,
      0.3709,
      0.5454,
      0.387,
      0.4031,
      0.3934,
      0.1299,
      0.0439,
      0.3212,
      0.3097,
      0.2504,
      0.3492,
      0.2067,
      0.2028,
      0.299,
      0.4241,
      0.4758,
      0.2466,
      0.3625,
      0.3118,
      0.51,
      0.3697,
      0.3323,
      0.3256,
      0.1259,
      0.3546,
      0.271,
      0.3772,
      0.2901,
      0.3864,
      0.3773,
      0.3699,
      0.3109,
      0.4762,
      0.351,
      0.521,
      0.4946,
      0.5293,
      0.2955,
      0.4571,
      0.3218,
      0.4286,
      0.4082,
      0.1098,
      0.6449,
      0.361,
      0.5,
      0.3391,
      0.3063,
      0.5208,
      0.3502,
      0.559,
      0.411,
      0.417,
      0.4263,
      0.2965,
      0.4306,
      0.3702,
      0.3792,
      0.269,
      0.3239,
      0.3787,
      0.5006,
      0.4712,
      0.5619,
      0.3648,
      0.3068,
      0.1013,
      0.2957,
      0.4163,
      0.3643,
      0.1721,
      0.0775,
      0.0974,
      0.0569,
      0.0966,
      0.037,
      0.1828,
      0.0633,
      0.179,
      0.1291,
      0.1698,
      0.2943,
      0.1831,
      0.3782,
      0.0971,
      0.415,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1537,
      0.0511,
      0,
      0.0158,
      0.1202,
      0.0305,
      0,
      0.1179,
      0.0813,
      0.0828,
      0,
      0.0856,
      0.055,
      0,
      0.0199,
      0.0991,
      0.3543,
      0.1965,
      0.1649,
      0.1835,
      0.3053,
      0.4641,
      0.3002,
      0.4303,
      0.557,
      0.454,
      0.3899,
      0.3792,
      0.2407,
      0.2204,
      0.4232,
      0.1635,
      0.1092,
      0.2089,
      0.3342,
      0.1757,
      0.5456,
      0.473,
      0.4819,
      0.4614,
      0.2148,
      0.1575,
      0.3366,
      0.2683,
      0.3643,
      0.1912,
      0.4608,
      0.3633,
      0.5294,
      0.3806,
      0.5419,
      0.5439,
      0.4753,
      0.3023,
      0.1158,
      0.2724,
      0.1852,
      0.217,
      0.3951,
      0.3964,
      0.4361,
      0.5828,
      0.518,
      0.4367,
      0.4431,
      0.4045,
      0.2081,
      0.2423,
      0.2872,
      0.6251,
      0.2795,
      0.2463,
      0.2494,
      0.533,
      0.5018,
      0.4009,
      0.4105,
      0.2127,
      0.5908,
      0.3648,
      0.1777,
      0.1644,
      0.2871,
      0.3916,
      0.3497,
      0.4396,
      0.1358,
      0.4782,
      0.2663,
      0.362,
      0.2665,
      0.3075,
      0.3024,
      0.3695,
      0.4342,
      0.4842,
      0.4415,
      0.5236,
      0.3534,
      0.5303,
      0.3705,
      0.3576,
      0.3571,
      0.0907,
      0.6213,
      0.3225,
      0.4631,
      0.3985,
      0.331,
      0.4704,
      0.5365,
      0.5201,
      0.4644,
      0.428,
      0.4082,
      0.4064,
      0.1523,
      0.2368,
      0.4331,
      0.3123,
      0.2852,
      0.3661,
      0.4642,
      0.4459,
      0.4473,
      0.3894,
      0.3643,
      0.467,
      0.4306,
      0.6006,
      0.1266,
      0.2983,
      0.4169,
      0.1186,
      0.4752,
      0.5677,
      0.4903,
      0.2508,
      0.1725,
      0.2177,
      0.3208,
      0.3729,
      0.4448,
      0.262,
      0.5149,
      0.3716,
      0.5429,
      0.2199,
      0.5225,
      0.3988,
      0.4864,
      0.3998,
      0.1578,
      0.1199,
      0.2024,
      0.3681,
      0.4399,
      0.2995,
      0.6165,
      0.4976,
      0.469,
      0.4114,
      0.4019,
      0.4459,
      0.1746,
      0.1364,
      0.2039,
      0.4483,
      0.349,
      0.359,
      0.3013,
      0.5326,
      0.4831,
      0.4677,
      0.3752,
      0.55,
      0.3506,
      0.0938,
      0.2475,
      0.3633,
      0.2454,
      0.3929,
      0.3481,
      0.4741,
      0.212,
      0.5248,
      0.2953,
      0.425,
      0.3445,
      0.3369,
      0.3252,
      0.3986,
      0.4451,
      0.5185,
      0.3501,
      0.5176,
      0.3323,
      0.5047,
      0.3766,
      0.3524,
      0.3823,
      0.1401,
      0.5643,
      0.3347,
      0.5185,
      0.4242,
      0.3923,
      0.4289,
      0.5019,
      0.5154,
      0.5329,
      0.3874,
      0.3747,
      0.0181,
      0.0136,
      0.2702,
      0.3909,
      0.2357,
      0.3385,
      0.197,
      0.1572,
      0.3233,
      0.3492,
      0.4031,
      0.3005,
      0.4015,
      0.2784,
      0.595,
      0.3665,
      0.4009,
      0.4161,
      0.2152,
      0.5029,
      0.2914,
      0.5408,
      0.3098,
      0.4084,
      0.3598,
      0.3193,
      0.3058,
      0.4587,
      0.3468,
      0.4833,
      0.4976,
      0.5441,
      0.2926,
      0.5566,
      0.3461,
      0.3903,
      0.4119,
      0.1763,
      0.5803,
      0.3048,
      0.5122,
      0.3812,
      0.37,
      0.4811,
      0.5059,
      0.5118,
      0.5274,
      0.382,
      0.4691,
      0.2489,
      0.4049,
      0.3704,
      0.3463,
      0.2209,
      0.2469,
      0.3324,
      0.4903,
      0.4628,
      0.5086,
      0.3649,
      0.3351,
      0.2081,
      0.3728,
      0.4546,
      0.326,
      0.1555,
      0.1569,
      0.0569,
      0.1212,
      0.1079,
      0.1417,
      0.2099,
      0.1239,
      0.1483,
      0.0988,
      0.0431,
      0.2958,
      0.1162,
      0.3956,
      0.1228,
      0.4208,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1183,
      0.1069,
      0.1281,
      0.0551,
      0.0819,
      0.013,
      0,
      0.0196,
      0.0689,
      0.0104,
      0.0882,
      0.0105,
      0.067,
      0,
      0.0945,
      0.1368,
      0.3362,
      0.2166,
      0.2133,
      0.252,
      0.3174,
      0.4031,
      0.3891,
      0.3917,
      0.5279,
      0.3914,
      0.3696,
      0.3265,
      0.3369,
      0.1342,
      0.361,
      0.3084,
      0.1415,
      0.2253,
      0.3758,
      0.2044,
      0.4938,
      0.4417,
      0.4462,
      0.4677,
      0.1488,
      0.1216,
      0.2951,
      0.1199,
      0.4206,
      0.2151,
      0.461,
      0.4369,
      0.428,
      0.3432,
      0.502,
      0.4539,
      0.4745,
      0.2867,
      0.1098,
      0.3336,
      0.2419,
      0.2192,
      0.4107,
      0.4072,
      0.5581,
      0.4922,
      0.5228,
      0.3792,
      0.3914,
      0.3774,
      0.2255,
      0.2226,
      0.1889,
      0.4929,
      0.297,
      0.3657,
      0.2794,
      0.4913,
      0.3836,
      0.2692,
      0.2915,
      0.2588,
      0.6177,
      0.2733,
      0.2058,
      0.2475,
      0.3533,
      0.3871,
      0.3664,
      0.4739,
      0.0226,
      0.4134,
      0.3306,
      0.2303,
      0.3009,
      0.297,
      0.294,
      0.4287,
      0.4614,
      0.4899,
      0.4114,
      0.4253,
      0.2697,
      0.453,
      0.2396,
      0.3697,
      0.404,
      0.1129,
      0.6051,
      0.2489,
      0.4036,
      0.3883,
      0.4337,
      0.5556,
      0.515,
      0.5366,
      0.4548,
      0.3938,
      0.4345,
      0.4023,
      0.2047,
      0.3368,
      0.4581,
      0.4025,
      0.3561,
      0.3713,
      0.5582,
      0.4121,
      0.3567,
      0.3486,
      0.392,
      0.4171,
      0.4299,
      0.5552,
      0.1487,
      0.2662,
      0.4523,
      0.0967,
      0.4425,
      0.5682,
      0.5173,
      0.2761,
      0.1906,
      0.221,
      0.3475,
      0.2759,
      0.3965,
      0.2626,
      0.4724,
      0.422,
      0.4694,
      0.2959,
      0.4854,
      0.3356,
      0.5083,
      0.3641,
      0.1609,
      0.1077,
      0.2791,
      0.3472,
      0.3581,
      0.3703,
      0.6221,
      0.4799,
      0.5266,
      0.3606,
      0.3622,
      0.4367,
      0.2333,
      0.2292,
      0.1367,
      0.4309,
      0.3289,
      0.3378,
      0.3174,
      0.5665,
      0.5372,
      0.3927,
      0.3527,
      0.5221,
      0.2835,
      0.1469,
      0.2129,
      0.3201,
      0.2434,
      0.3939,
      0.3623,
      0.4652,
      0.1392,
      0.4656,
      0.3493,
      0.3877,
      0.2836,
      0.329,
      0.3378,
      0.4425,
      0.4406,
      0.4633,
      0.3739,
      0.4435,
      0.3334,
      0.4501,
      0.3519,
      0.3555,
      0.3725,
      0.156,
      0.5881,
      0.3135,
      0.3881,
      0.4132,
      0.4344,
      0.4828,
      0.4825,
      0.5614,
      0.4941,
      0.3454,
      0.4295,
      0.0564,
      0.0866,
      0.3629,
      0.318,
      0.2296,
      0.2392,
      0.1554,
      0.1565,
      0.3743,
      0.3826,
      0.3757,
      0.2339,
      0.2807,
      0.2385,
      0.5218,
      0.2834,
      0.3443,
      0.4344,
      0.2009,
      0.4723,
      0.308,
      0.5403,
      0.352,
      0.3735,
      0.2799,
      0.1984,
      0.2859,
      0.4333,
      0.3845,
      0.4819,
      0.5322,
      0.4373,
      0.2662,
      0.4736,
      0.2901,
      0.3946,
      0.4125,
      0.171,
      0.6474,
      0.2663,
      0.4486,
      0.3151,
      0.4355,
      0.5341,
      0.4893,
      0.5605,
      0.535,
      0.3237,
      0.4358,
      0.2644,
      0.4085,
      0.4062,
      0.3293,
      0.2205,
      0.3728,
      0.4467,
      0.5591,
      0.373,
      0.5153,
      0.2555,
      0.3574,
      0.0537,
      0.3247,
      0.442,
      0.2697,
      0.0898,
      0.0048,
      0.0996,
      0.0511,
      0.0712,
      0.0974,
      0.1935,
      0.0607,
      0.0879,
      0.1323,
      0.0747,
      0.386,
      0.1144,
      0.4403,
      0.0286,
      0.4831,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1993,
      0.1235,
      0.1347,
      0.0344,
      0.1201,
      0,
      0.0453,
      0,
      0.0885,
      0.0436,
      0.0488,
      0.0328,
      0.0081,
      0.0033,
      0.0334,
      0.0572,
      0.3123,
      0.2859,
      0.3146,
      0.3613,
      0.3209,
      0.3585,
      0.4111,
      0.34,
      0.5108,
      0.4169,
      0.3074,
      0.2749,
      0.3079,
      0.1161,
      0.2624,
      0.3677,
      0.1456,
      0.2675,
      0.3842,
      0.2354,
      0.532,
      0.4383,
      0.4216,
      0.48,
      0.1623,
      0.1559,
      0.2848,
      0.2291,
      0.404,
      0.2404,
      0.4557,
      0.4549,
      0.4555,
      0.3799,
      0.4781,
      0.4476,
      0.4738,
      0.3205,
      0.2193,
      0.2246,
      0.2356,
      0.2583,
      0.4075,
      0.4156,
      0.5464,
      0.5208,
      0.5029,
      0.3129,
      0.3661,
      0.4313,
      0.311,
      0.2991,
      0.2403,
      0.5696,
      0.3028,
      0.3549,
      0.1862,
      0.4794,
      0.406,
      0.3538,
      0.3515,
      0.2489,
      0.5896,
      0.2673,
      0.291,
      0.2114,
      0.3096,
      0.4181,
      0.2828,
      0.4681,
      0.1893,
      0.3399,
      0.3079,
      0.3492,
      0.2086,
      0.2906,
      0.3361,
      0.3891,
      0.5173,
      0.4603,
      0.4354,
      0.4924,
      0.3189,
      0.4653,
      0.3779,
      0.4343,
      0.3956,
      0.175,
      0.5849,
      0.2585,
      0.3971,
      0.4602,
      0.3842,
      0.5117,
      0.4992,
      0.5271,
      0.4008,
      0.3288,
      0.3934,
      0.4031,
      0.2171,
      0.3424,
      0.4362,
      0.3279,
      0.3273,
      0.3067,
      0.4916,
      0.4094,
      0.3569,
      0.3411,
      0.439,
      0.4128,
      0.487,
      0.5716,
      0.1758,
      0.2539,
      0.4682,
      0.1861,
      0.4754,
      0.5462,
      0.4642,
      0.3367,
      0.183,
      0.3017,
      0.368,
      0.2403,
      0.3641,
      0.3357,
      0.4625,
      0.4241,
      0.4926,
      0.2691,
      0.5135,
      0.3707,
      0.4774,
      0.3265,
      0.2038,
      0.1471,
      0.2427,
      0.3298,
      0.4395,
      0.3493,
      0.6196,
      0.4847,
      0.4707,
      0.3829,
      0.3415,
      0.382,
      0.2046,
      0.3024,
      0.2626,
      0.5023,
      0.379,
      0.3542,
      0.2551,
      0.5873,
      0.5755,
      0.4143,
      0.2984,
      0.5831,
      0.2289,
      0.1692,
      0.2231,
      0.281,
      0.304,
      0.3469,
      0.272,
      0.4575,
      0.2283,
      0.5035,
      0.363,
      0.3496,
      0.3018,
      0.3401,
      0.3534,
      0.3911,
      0.4377,
      0.5108,
      0.3439,
      0.5277,
      0.2685,
      0.4821,
      0.3586,
      0.4382,
      0.3561,
      0.1406,
      0.5405,
      0.2758,
      0.5053,
      0.4356,
      0.351,
      0.4796,
      0.5016,
      0.5242,
      0.4766,
      0.3316,
      0.3786,
      0.0833,
      0.1247,
      0.3189,
      0.3681,
      0.2391,
      0.2976,
      0.2804,
      0.1857,
      0.3994,
      0.4421,
      0.3696,
      0.284,
      0.3928,
      0.2743,
      0.5348,
      0.3849,
      0.3352,
      0.3928,
      0.1851,
      0.5166,
      0.4217,
      0.4259,
      0.2834,
      0.3329,
      0.312,
      0.2036,
      0.2965,
      0.4061,
      0.3706,
      0.446,
      0.4914,
      0.488,
      0.2791,
      0.4844,
      0.3258,
      0.4082,
      0.4286,
      0.1956,
      0.585,
      0.369,
      0.4842,
      0.3659,
      0.4137,
      0.491,
      0.5515,
      0.5216,
      0.4756,
      0.3415,
      0.4096,
      0.3317,
      0.4501,
      0.3828,
      0.3766,
      0.2699,
      0.3574,
      0.3778,
      0.5278,
      0.3343,
      0.5215,
      0.3235,
      0.3548,
      0.1146,
      0.1989,
      0.4313,
      0.2943,
      0.2092,
      0.1527,
      0.1338,
      0.1595,
      0.1474,
      0.1488,
      0.2143,
      0.0839,
      0.1484,
      0.1386,
      0.1984,
      0.433,
      0.2236,
      0.4644,
      0.1129,
      0.4623,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1134,
      0.1858,
      0.1807,
      0.1572,
      0.1654,
      0.1193,
      0.0985,
      0.0302,
      0.0852,
      0.0039,
      0.0583,
      0.0959,
      0,
      0.0384,
      0.0085,
      0,
      0.2424,
      0.3628,
      0.33,
      0.3644,
      0.3599,
      0.3404,
      0.4116,
      0.3003,
      0.5431,
      0.4182,
      0.3724,
      0.3993,
      0.3807,
      0.2754,
      0.2688,
      0.3116,
      0.0987,
      0.4479,
      0.3314,
      0.2282,
      0.3783,
      0.4547,
      0.3988,
      0.4747,
      0.1577,
      0.189,
      0.3506,
      0.2314,
      0.3805,
      0.2505,
      0.4399,
      0.4345,
      0.4759,
      0.3078,
      0.543,
      0.5004,
      0.4703,
      0.3878,
      0.292,
      0.2814,
      0.2517,
      0.1996,
      0.4268,
      0.2191,
      0.4915,
      0.4764,
      0.476,
      0.4028,
      0.3747,
      0.4142,
      0.4156,
      0.1994,
      0.3276,
      0.6099,
      0.3547,
      0.2767,
      0.239,
      0.5191,
      0.4297,
      0.3473,
      0.3677,
      0.3516,
      0.6073,
      0.2866,
      0.2022,
      0.1877,
      0.3567,
      0.4132,
      0.302,
      0.3962,
      0.2613,
      0.3529,
      0.3293,
      0.3933,
      0.2418,
      0.3577,
      0.2989,
      0.3427,
      0.5394,
      0.4454,
      0.4118,
      0.5,
      0.351,
      0.5856,
      0.4002,
      0.4447,
      0.3893,
      0.2673,
      0.6159,
      0.365,
      0.3849,
      0.4325,
      0.264,
      0.441,
      0.3582,
      0.4695,
      0.3769,
      0.4112,
      0.3986,
      0.3806,
      0.2945,
      0.3183,
      0.4737,
      0.3569,
      0.314,
      0.3229,
      0.513,
      0.4487,
      0.423,
      0.4691,
      0.453,
      0.3975,
      0.5078,
      0.454,
      0.1697,
      0.3341,
      0.3868,
      0.1987,
      0.3534,
      0.5051,
      0.3579,
      0.2798,
      0.2313,
      0.3373,
      0.389,
      0.3316,
      0.4112,
      0.374,
      0.4427,
      0.4067,
      0.5495,
      0.3354,
      0.5616,
      0.3266,
      0.4428,
      0.4071,
      0.3226,
      0.1985,
      0.2977,
      0.315,
      0.4381,
      0.2694,
      0.589,
      0.4432,
      0.4533,
      0.4023,
      0.3718,
      0.466,
      0.3498,
      0.2347,
      0.3432,
      0.4501,
      0.3544,
      0.3109,
      0.278,
      0.5838,
      0.5824,
      0.4467,
      0.3805,
      0.5672,
      0.3279,
      0.2048,
      0.1671,
      0.3212,
      0.3327,
      0.3469,
      0.2654,
      0.2726,
      0.2414,
      0.4157,
      0.3273,
      0.3778,
      0.2697,
      0.3861,
      0.3687,
      0.4124,
      0.4499,
      0.5015,
      0.3535,
      0.5336,
      0.3065,
      0.5403,
      0.3318,
      0.4524,
      0.3943,
      0.3476,
      0.5911,
      0.31,
      0.4862,
      0.4325,
      0.3411,
      0.4856,
      0.3885,
      0.4603,
      0.3828,
      0.3519,
      0.3831,
      0.082,
      0.1436,
      0.3458,
      0.31,
      0.2191,
      0.3106,
      0.223,
      0.1808,
      0.3592,
      0.4594,
      0.4052,
      0.1928,
      0.3404,
      0.3843,
      0.5862,
      0.3517,
      0.3209,
      0.3028,
      0.158,
      0.4592,
      0.1898,
      0.3885,
      0.3223,
      0.3098,
      0.3039,
      0.1575,
      0.3141,
      0.4308,
      0.4158,
      0.4968,
      0.5186,
      0.5479,
      0.2964,
      0.5483,
      0.3416,
      0.39,
      0.4222,
      0.3371,
      0.5762,
      0.3711,
      0.4052,
      0.2613,
      0.3236,
      0.4876,
      0.449,
      0.4715,
      0.3143,
      0.3857,
      0.4497,
      0.3449,
      0.3966,
      0.3081,
      0.3526,
      0.348,
      0.3579,
      0.3806,
      0.5477,
      0.4025,
      0.5296,
      0.2186,
      0.4109,
      0.2604,
      0.3356,
      0.4541,
      0.283,
      0.2986,
      0.3321,
      0.3738,
      0.2278,
      0.3231,
      0.2683,
      0.3437,
      0.1504,
      0.1833,
      0.2203,
      0.2421,
      0.4054,
      0.2571,
      0.4336,
      0.1965,
      0.4754,
      0.0077,
      0,
      0,
      0,
      0,
      0,
      0.156,
      0.0663,
      0.1124,
      0.0568,
      0.0387,
      0,
      0.0059,
      0.0504,
      0.1264,
      0.0328,
      0.0971,
      0.0194,
      0.024,
      0,
      0.0548,
      0,
      0.333,
      0.3854,
      0.2066,
      0.2625,
      0.3008,
      0.3299,
      0.4107,
      0.3196,
      0.6001,
      0.4672,
      0.4015,
      0.4342,
      0.3732,
      0.1944,
      0.2556,
      0.2182,
      0.115,
      0.3111,
      0.3031,
      0.1088,
      0.4534,
      0.3816,
      0.4025,
      0.4155,
      0.1596,
      0.19,
      0.3597,
      0.2023,
      0.3202,
      0.1984,
      0.5058,
      0.4439,
      0.4883,
      0.4337,
      0.459,
      0.4622,
      0.4092,
      0.2674,
      0.214,
      0.3313,
      0.183,
      0.2152,
      0.3787,
      0.302,
      0.4846,
      0.4972,
      0.4741,
      0.3949,
      0.3662,
      0.3745,
      0.221,
      0.2159,
      0.3044,
      0.4806,
      0.2113,
      0.2859,
      0.2834,
      0.58,
      0.5001,
      0.3593,
      0.4218,
      0.2356,
      0.601,
      0.2659,
      0.0694,
      0.1986,
      0.2587,
      0.3313,
      0.3302,
      0.387,
      0.2495,
      0.4166,
      0.3365,
      0.3732,
      0.1519,
      0.3716,
      0.2588,
      0.3019,
      0.5334,
      0.4348,
      0.4389,
      0.4705,
      0.3532,
      0.5203,
      0.3837,
      0.357,
      0.3573,
      0.1529,
      0.5913,
      0.3636,
      0.4674,
      0.4396,
      0.1911,
      0.4498,
      0.4526,
      0.4921,
      0.3808,
      0.4002,
      0.4324,
      0.3772,
      0.1294,
      0.1766,
      0.4371,
      0.4333,
      0.3262,
      0.3198,
      0.5089,
      0.4559,
      0.3728,
      0.4994,
      0.4589,
      0.399,
      0.4832,
      0.5727,
      0.1824,
      0.3086,
      0.3598,
      0.1403,
      0.4119,
      0.4942,
      0.4203,
      0.2044,
      0.2173,
      0.332,
      0.4932,
      0.2532,
      0.3764,
      0.2667,
      0.4138,
      0.4484,
      0.5317,
      0.3352,
      0.4445,
      0.3832,
      0.3986,
      0.3528,
      0.1823,
      0.1334,
      0.2336,
      0.2581,
      0.4859,
      0.2845,
      0.6016,
      0.3956,
      0.4671,
      0.3509,
      0.4087,
      0.4118,
      0.3529,
      0.2209,
      0.1921,
      0.4135,
      0.3747,
      0.3937,
      0.3232,
      0.614,
      0.5436,
      0.4883,
      0.393,
      0.5897,
      0.2796,
      0.1565,
      0.2072,
      0.3207,
      0.2878,
      0.3096,
      0.2587,
      0.4102,
      0.2814,
      0.4205,
      0.363,
      0.3981,
      0.2681,
      0.3748,
      0.3155,
      0.3743,
      0.4979,
      0.4704,
      0.3247,
      0.4967,
      0.3803,
      0.4342,
      0.3651,
      0.455,
      0.3562,
      0.1632,
      0.533,
      0.3636,
      0.4722,
      0.373,
      0.329,
      0.4491,
      0.4316,
      0.4811,
      0.3851,
      0.3474,
      0.3385,
      0.0846,
      0.0225,
      0.4032,
      0.3905,
      0.2543,
      0.3369,
      0.248,
      0.164,
      0.2458,
      0.3668,
      0.4062,
      0.1738,
      0.4289,
      0.3485,
      0.5878,
      0.4218,
      0.3636,
      0.3427,
      0.2309,
      0.4173,
      0.3502,
      0.3989,
      0.2898,
      0.3271,
      0.2936,
      0.2753,
      0.3064,
      0.2904,
      0.4057,
      0.5185,
      0.5045,
      0.5231,
      0.3165,
      0.4796,
      0.3461,
      0.4095,
      0.3818,
      0.1709,
      0.5616,
      0.3382,
      0.457,
      0.2683,
      0.3838,
      0.4547,
      0.4512,
      0.4442,
      0.4509,
      0.3214,
      0.4294,
      0.2824,
      0.3743,
      0.3809,
      0.3023,
      0.3206,
      0.3836,
      0.3461,
      0.537,
      0.4463,
      0.5441,
      0.2794,
      0.4494,
      0.1263,
      0.3083,
      0.4745,
      0.2695,
      0.2048,
      0.1441,
      0.1496,
      0.1276,
      0.1437,
      0.1896,
      0.2908,
      0.1214,
      0.1413,
      0.0899,
      0.1906,
      0.3636,
      0.1703,
      0.3447,
      0.1196,
      0.4741,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2177,
      0.0607,
      0.134,
      0.0431,
      0,
      0,
      0,
      0.0278,
      0.11,
      0.1095,
      0.0755,
      0.1074,
      0.0584,
      0.1054,
      0.0848,
      0.09,
      0.2688,
      0.2409,
      0.1065,
      0.2404,
      0.3815,
      0.3301,
      0.3856,
      0.3311,
      0.5214,
      0.3653,
      0.3546,
      0.3259,
      0.381,
      0.214,
      0.2239,
      0.1078,
      0.132,
      0.1389,
      0.2936,
      0.0635,
      0.4789,
      0.4434,
      0.3839,
      0.4062,
      0.1651,
      0.1431,
      0.3082,
      0.1742,
      0.31,
      0.2048,
      0.4923,
      0.3632,
      0.5023,
      0.4288,
      0.4699,
      0.4581,
      0.4703,
      0.2597,
      0.1583,
      0.2916,
      0.2442,
      0.233,
      0.3892,
      0.3188,
      0.4749,
      0.4405,
      0.4243,
      0.3496,
      0.3628,
      0.3392,
      0.2864,
      0.3197,
      0.2923,
      0.4939,
      0.2505,
      0.3068,
      0.2487,
      0.49,
      0.3368,
      0.3257,
      0.2913,
      0.2476,
      0.6101,
      0.2648,
      0.1598,
      0.235,
      0.3064,
      0.3365,
      0.3236,
      0.4304,
      0.2158,
      0.3348,
      0.3673,
      0.3469,
      0.2056,
      0.3321,
      0.3502,
      0.3757,
      0.4717,
      0.4806,
      0.3817,
      0.5207,
      0.3128,
      0.4443,
      0.3051,
      0.4222,
      0.3758,
      0.1468,
      0.5534,
      0.3237,
      0.387,
      0.4239,
      0.3058,
      0.389,
      0.4849,
      0.378,
      0.3967,
      0.3335,
      0.426,
      0.3132,
      0.1748,
      0.1876,
      0.3914,
      0.3709,
      0.3721,
      0.3537,
      0.4849,
      0.3354,
      0.3866,
      0.3226,
      0.4113,
      0.3675,
      0.4404,
      0.5695,
      0.2182,
      0.2494,
      0.3631,
      0.0974,
      0.4386,
      0.5616,
      0.4042,
      0.3946,
      0.1547,
      0.2151,
      0.518,
      0.3992,
      0.4173,
      0.1756,
      0.5,
      0.3962,
      0.5377,
      0.3323,
      0.5095,
      0.3273,
      0.5246,
      0.2621,
      0.0863,
      0.1264,
      0.244,
      0.3186,
      0.5705,
      0.3465,
      0.5921,
      0.4924,
      0.4351,
      0.2678,
      0.3581,
      0.3807,
      0.1943,
      0.155,
      0.1907,
      0.437,
      0.2885,
      0.3013,
      0.2196,
      0.6263,
      0.5117,
      0.4563,
      0.3373,
      0.4295,
      0.2858,
      0.1132,
      0.1778,
      0.2506,
      0.2191,
      0.3708,
      0.3514,
      0.4147,
      0.2307,
      0.4834,
      0.3708,
      0.308,
      0.2801,
      0.2683,
      0.312,
      0.447,
      0.4798,
      0.502,
      0.2965,
      0.5408,
      0.3728,
      0.5014,
      0.2803,
      0.4284,
      0.3563,
      0.1596,
      0.5739,
      0.2751,
      0.4516,
      0.3926,
      0.2694,
      0.4524,
      0.4719,
      0.381,
      0.4367,
      0.2833,
      0.4189,
      0.0173,
      0.0308,
      0.4322,
      0.3906,
      0.2471,
      0.3244,
      0.2002,
      0.1703,
      0.3253,
      0.2784,
      0.4152,
      0.0832,
      0.3929,
      0.3307,
      0.6478,
      0.3382,
      0.3317,
      0.4138,
      0.1296,
      0.4748,
      0.2963,
      0.4732,
      0.3366,
      0.2833,
      0.2586,
      0.3803,
      0.4183,
      0.4323,
      0.3913,
      0.5358,
      0.4613,
      0.5117,
      0.2047,
      0.5166,
      0.3543,
      0.4117,
      0.4573,
      0.0925,
      0.5465,
      0.288,
      0.4693,
      0.24,
      0.3593,
      0.4146,
      0.4797,
      0.3629,
      0.4752,
      0.2977,
      0.3876,
      0.2704,
      0.3834,
      0.3598,
      0.3227,
      0.2507,
      0.3542,
      0.2989,
      0.4764,
      0.4232,
      0.4988,
      0.343,
      0.3845,
      0.2022,
      0.2203,
      0.5099,
      0.3505,
      0.1753,
      0.1382,
      0.096,
      0.1467,
      0.1304,
      0.138,
      0.2298,
      0.172,
      0.1875,
      0.0886,
      0.1585,
      0.3302,
      0.2496,
      0.4462,
      0.0724,
      0.4839,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1509,
      0.1483,
      0.1245,
      0.0243,
      0.0905,
      0.0839,
      0.0344,
      0.1777,
      0.114,
      0.1335,
      0.0949,
      0.1136,
      0.0711,
      0.0628,
      0.1365,
      0.1275,
      0.3046,
      0.206,
      0.1821,
      0.1672,
      0.4145,
      0.3581,
      0.3673,
      0.2343,
      0.4841,
      0.3796,
      0.3029,
      0.2719,
      0.2576,
      0.2105,
      0.2865,
      0.221,
      0.1232,
      0.153,
      0.3026,
      0.1014,
      0.4562,
      0.4529,
      0.3557,
      0.4018,
      0.2983,
      0.1286,
      0.3051,
      0.2187,
      0.3984,
      0.1641,
      0.4222,
      0.4161,
      0.4591,
      0.3924,
      0.5012,
      0.5271,
      0.463,
      0.2756,
      0.1299,
      0.3853,
      0.2197,
      0.3277,
      0.2911,
      0.354,
      0.4377,
      0.4848,
      0.415,
      0.3517,
      0.4019,
      0.3104,
      0.2926,
      0.2696,
      0.1882,
      0.5585,
      0.2488,
      0.2629,
      0.3513,
      0.4996,
      0.3876,
      0.2982,
      0.3536,
      0.2236,
      0.6199,
      0.2942,
      0.2624,
      0.2564,
      0.2853,
      0.3251,
      0.3129,
      0.3745,
      0.2499,
      0.4578,
      0.3121,
      0.3184,
      0.2306,
      0.3363,
      0.3412,
      0.4214,
      0.4902,
      0.4136,
      0.409,
      0.4929,
      0.2172,
      0.5276,
      0.3214,
      0.4265,
      0.3563,
      0.1409,
      0.5795,
      0.3833,
      0.4431,
      0.3644,
      0.322,
      0.3948,
      0.4098,
      0.4202,
      0.4061,
      0.3653,
      0.4427,
      0.3381,
      0.1588,
      0.223,
      0.3815,
      0.3565,
      0.4081,
      0.3234,
      0.4686,
      0.3835,
      0.4044,
      0.3291,
      0.4117,
      0.3736,
      0.4235,
      0.6007,
      0.1924,
      0.2639,
      0.3398,
      0.0902,
      0.3937,
      0.5856,
      0.3846,
      0.3464,
      0.3122,
      0.2432,
      0.4853,
      0.489,
      0.3926,
      0.2411,
      0.4092,
      0.3233,
      0.5403,
      0.26,
      0.5348,
      0.3854,
      0.5205,
      0.3412,
      0.1288,
      0.1169,
      0.1954,
      0.2557,
      0.5376,
      0.29,
      0.6337,
      0.4415,
      0.4301,
      0.3083,
      0.3227,
      0.4087,
      0.105,
      0.2496,
      0.2089,
      0.4122,
      0.3352,
      0.3811,
      0.2553,
      0.555,
      0.5092,
      0.4331,
      0.291,
      0.514,
      0.2615,
      0.2293,
      0.2132,
      0.3347,
      0.2294,
      0.3151,
      0.2622,
      0.3841,
      0.2634,
      0.4907,
      0.3458,
      0.4315,
      0.2944,
      0.2947,
      0.3699,
      0.4383,
      0.4897,
      0.4698,
      0.3341,
      0.5126,
      0.3344,
      0.4682,
      0.3482,
      0.4461,
      0.3885,
      0.077,
      0.5545,
      0.3926,
      0.4379,
      0.3594,
      0.2977,
      0.3723,
      0.4622,
      0.4359,
      0.4439,
      0.3307,
      0.3524,
      0.0851,
      0.0775,
      0.3733,
      0.3239,
      0.2373,
      0.4342,
      0.224,
      0.1463,
      0.3393,
      0.312,
      0.4551,
      0.2265,
      0.3096,
      0.2568,
      0.6111,
      0.3626,
      0.3335,
      0.4064,
      0.2188,
      0.3416,
      0.3422,
      0.4788,
      0.2986,
      0.2893,
      0.2797,
      0.3425,
      0.4285,
      0.4587,
      0.3913,
      0.463,
      0.5251,
      0.5243,
      0.1822,
      0.5422,
      0.3036,
      0.3813,
      0.4456,
      0.0744,
      0.563,
      0.3353,
      0.4912,
      0.3325,
      0.3289,
      0.3566,
      0.4703,
      0.4536,
      0.4415,
      0.315,
      0.4474,
      0.2905,
      0.4177,
      0.363,
      0.4214,
      0.1954,
      0.3327,
      0.3987,
      0.4248,
      0.3279,
      0.5755,
      0.33,
      0.3649,
      0.1992,
      0.3006,
      0.4128,
      0.3559,
      0.1594,
      0.1289,
      0.0954,
      0.1157,
      0.0804,
      0.1561,
      0.2084,
      0.2763,
      0.188,
      0.1477,
      0.1521,
      0.312,
      0.2203,
      0.437,
      0.0772,
      0.4017,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0757,
      0.0796,
      0.0865,
      0,
      0.0811,
      0,
      0,
      0.0255,
      0.1035,
      0.0407,
      0.0826,
      0.0551,
      0.0323,
      0.0162,
      0.111,
      0.133,
      0.3156,
      0.1764,
      0.1584,
      0.1522,
      0.4293,
      0.4366,
      0.3662,
      0.3725,
      0.5111,
      0.4485,
      0.4176,
      0.3527,
      0.4149,
      0.1227,
      0.3654,
      0.1403,
      0.1507,
      0.189,
      0.3165,
      0.1479,
      0.503,
      0.4656,
      0.4247,
      0.3094,
      0.2367,
      0.1298,
      0.3524,
      0.2553,
      0.3935,
      0.1815,
      0.4078,
      0.4132,
      0.4977,
      0.3795,
      0.4835,
      0.5195,
      0.45,
      0.3098,
      0.1244,
      0.2377,
      0.2369,
      0.2519,
      0.3238,
      0.3263,
      0.4737,
      0.519,
      0.4895,
      0.3916,
      0.4562,
      0.3963,
      0.2207,
      0.2282,
      0.2887,
      0.5084,
      0.2963,
      0.297,
      0.3391,
      0.4724,
      0.4843,
      0.354,
      0.377,
      0.1977,
      0.6237,
      0.3354,
      0.2032,
      0.232,
      0.2621,
      0.327,
      0.2799,
      0.4089,
      0.173,
      0.4196,
      0.3395,
      0.3292,
      0.2239,
      0.4117,
      0.2914,
      0.3733,
      0.4727,
      0.4197,
      0.4442,
      0.4127,
      0.2982,
      0.5004,
      0.3742,
      0.3793,
      0.3837,
      0.1462,
      0.5759,
      0.2778,
      0.4572,
      0.3765,
      0.378,
      0.4639,
      0.5049,
      0.5332,
      0.4063,
      0.4136,
      0.4237,
      0.3196,
      0.1473,
      0.202,
      0.3946,
      0.3681,
      0.342,
      0.2857,
      0.4494,
      0.4977,
      0.3914,
      0.433,
      0.4366,
      0.424,
      0.4844,
      0.6442,
      0.1788,
      0.2942,
      0.3983,
      0.1008,
      0.4744,
      0.5131,
      0.5122,
      0.2692,
      0.1912,
      0.2267,
      0.4028,
      0.341,
      0.4067,
      0.262,
      0.4604,
      0.3009,
      0.5173,
      0.2672,
      0.403,
      0.3531,
      0.5542,
      0.3612,
      0.1344,
      0.1028,
      0.1812,
      0.3006,
      0.4188,
      0.2922,
      0.5379,
      0.4623,
      0.4835,
      0.3874,
      0.3828,
      0.4255,
      0.2022,
      0.1165,
      0.0998,
      0.3232,
      0.3975,
      0.4038,
      0.2913,
      0.5609,
      0.4941,
      0.4145,
      0.3274,
      0.5125,
      0.3211,
      0.1717,
      0.2128,
      0.2949,
      0.2332,
      0.3676,
      0.2479,
      0.4233,
      0.125,
      0.5411,
      0.3733,
      0.3389,
      0.2519,
      0.4118,
      0.2235,
      0.3899,
      0.48,
      0.4319,
      0.344,
      0.4625,
      0.3459,
      0.5201,
      0.3367,
      0.3901,
      0.3846,
      0.1345,
      0.5735,
      0.286,
      0.4944,
      0.4008,
      0.3068,
      0.4643,
      0.487,
      0.4939,
      0.4927,
      0.3743,
      0.3285,
      0.0629,
      0.0576,
      0.323,
      0.3952,
      0.1755,
      0.4718,
      0.258,
      0.2092,
      0.3116,
      0.3522,
      0.4703,
      0.2479,
      0.3672,
      0.378,
      0.6078,
      0.315,
      0.3628,
      0.4523,
      0.251,
      0.4527,
      0.3523,
      0.5533,
      0.3499,
      0.3913,
      0.3999,
      0.3341,
      0.3421,
      0.3787,
      0.3333,
      0.466,
      0.4744,
      0.4669,
      0.22,
      0.5573,
      0.3456,
      0.421,
      0.4564,
      0.2007,
      0.5569,
      0.3339,
      0.4845,
      0.284,
      0.3294,
      0.4589,
      0.5211,
      0.534,
      0.5043,
      0.382,
      0.4509,
      0.167,
      0.3167,
      0.3236,
      0.319,
      0.2652,
      0.3282,
      0.3874,
      0.5025,
      0.3788,
      0.5225,
      0.3473,
      0.4317,
      0.1029,
      0.2775,
      0.4648,
      0.2928,
      0.1314,
      0.1373,
      0.0716,
      0.122,
      0.0523,
      0.1938,
      0.2432,
      0.1702,
      0.1703,
      0.1741,
      0.0646,
      0.3351,
      0.2189,
      0.3921,
      0.1064,
      0.4523,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1991,
      0.0767,
      0.1175,
      0.0522,
      0.0548,
      0,
      0.0283,
      0.0672,
      0.0984,
      0.1119,
      0.1228,
      0.1223,
      0.0726,
      0.0566,
      0.1038,
      0.1789,
      0.3426,
      0.2938,
      0.2101,
      0.2341,
      0.4424,
      0.3598,
      0.3709,
      0.3321,
      0.5421,
      0.4597,
      0.4358,
      0.4141,
      0.3266,
      0.1755,
      0.3176,
      0.1923,
      0.1362,
      0.1757,
      0.2277,
      0.204,
      0.4188,
      0.4576,
      0.371,
      0.3574,
      0.231,
      0.2101,
      0.2991,
      0.2519,
      0.3517,
      0.1049,
      0.3732,
      0.362,
      0.4549,
      0.3754,
      0.4461,
      0.4662,
      0.4305,
      0.3284,
      0.1766,
      0.3942,
      0.2218,
      0.1659,
      0.3871,
      0.3218,
      0.4751,
      0.4526,
      0.4759,
      0.4258,
      0.4119,
      0.3545,
      0.1858,
      0.2029,
      0.2459,
      0.5571,
      0.2642,
      0.2118,
      0.2994,
      0.5121,
      0.4861,
      0.3905,
      0.3801,
      0.2329,
      0.542,
      0.3063,
      0.1728,
      0.2277,
      0.3529,
      0.3871,
      0.2783,
      0.3872,
      0.1384,
      0.3368,
      0.3385,
      0.3116,
      0.3396,
      0.346,
      0.2177,
      0.379,
      0.4501,
      0.4393,
      0.4673,
      0.3536,
      0.3133,
      0.4206,
      0.3148,
      0.4087,
      0.4138,
      0.2127,
      0.632,
      0.3195,
      0.4896,
      0.3754,
      0.3947,
      0.464,
      0.4434,
      0.4778,
      0.4255,
      0.395,
      0.3513,
      0.3021,
      0.1443,
      0.198,
      0.4258,
      0.3482,
      0.2927,
      0.2976,
      0.4919,
      0.4916,
      0.3932,
      0.3898,
      0.4306,
      0.4281,
      0.5557,
      0.5897,
      0.1737,
      0.2996,
      0.4307,
      0.0895,
      0.3914,
      0.6126,
      0.4002,
      0.2767,
      0.1923,
      0.192,
      0.3393,
      0.2571,
      0.3532,
      0.304,
      0.4428,
      0.3936,
      0.4925,
      0.2561,
      0.4457,
      0.4123,
      0.5171,
      0.3856,
      0.2687,
      0.2093,
      0.2233,
      0.3387,
      0.3978,
      0.3272,
      0.572,
      0.4382,
      0.4675,
      0.4068,
      0.4298,
      0.46,
      0.2314,
      0.1421,
      0.1215,
      0.365,
      0.3755,
      0.3897,
      0.3015,
      0.5474,
      0.5025,
      0.4965,
      0.4417,
      0.5783,
      0.314,
      0.1694,
      0.2155,
      0.3143,
      0.3109,
      0.3401,
      0.2997,
      0.3418,
      0.142,
      0.4535,
      0.3565,
      0.3783,
      0.335,
      0.3497,
      0.2558,
      0.4185,
      0.4898,
      0.4626,
      0.3493,
      0.4794,
      0.3544,
      0.4906,
      0.3692,
      0.4223,
      0.3824,
      0.2422,
      0.5837,
      0.3018,
      0.5115,
      0.4825,
      0.319,
      0.502,
      0.3962,
      0.4808,
      0.4519,
      0.3751,
      0.3861,
      0.0868,
      0.0465,
      0.3655,
      0.2949,
      0.1787,
      0.4446,
      0.1857,
      0.1747,
      0.3495,
      0.3093,
      0.4481,
      0.2035,
      0.2937,
      0.4323,
      0.5491,
      0.3618,
      0.3717,
      0.3573,
      0.0876,
      0.3847,
      0.3103,
      0.4889,
      0.2904,
      0.3821,
      0.4034,
      0.4001,
      0.2161,
      0.4204,
      0.3758,
      0.4155,
      0.413,
      0.3577,
      0.31,
      0.4863,
      0.3122,
      0.3989,
      0.4714,
      0.2604,
      0.5734,
      0.2091,
      0.5197,
      0.3408,
      0.3004,
      0.5236,
      0.5003,
      0.5265,
      0.425,
      0.399,
      0.43,
      0.195,
      0.3081,
      0.3267,
      0.2873,
      0.2552,
      0.33,
      0.3655,
      0.4991,
      0.4597,
      0.4592,
      0.3027,
      0.4774,
      0.1742,
      0.2964,
      0.4936,
      0.2909,
      0.1642,
      0.0857,
      0.229,
      0.1146,
      0.1476,
      0.2086,
      0.2459,
      0.1554,
      0.1605,
      0.1108,
      0.0602,
      0.3636,
      0.114,
      0.4295,
      0.1042,
      0.396,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2136,
      0.1724,
      0.2018,
      0.2106,
      0.2017,
      0.1835,
      0.207,
      0.0903,
      0.151,
      0.021,
      0.02,
      0.0952,
      0.0529,
      0.0669,
      0,
      0.0669,
      0.2809,
      0.2978,
      0.3568,
      0.4088,
      0.3813,
      0.3923,
      0.3923,
      0.2935,
      0.5097,
      0.4524,
      0.3684,
      0.325,
      0.3411,
      0.0618,
      0.2625,
      0.2883,
      0.1604,
      0.2719,
      0.2113,
      0.1486,
      0.4648,
      0.427,
      0.4272,
      0.4002,
      0.1925,
      0.1779,
      0.2056,
      0.2766,
      0.3663,
      0.1694,
      0.4921,
      0.4251,
      0.5231,
      0.409,
      0.4939,
      0.5233,
      0.4131,
      0.2261,
      0.1758,
      0.3297,
      0.2593,
      0.2274,
      0.3218,
      0.2729,
      0.4176,
      0.4298,
      0.4692,
      0.4193,
      0.3843,
      0.395,
      0.3231,
      0.1818,
      0.1899,
      0.5896,
      0.2961,
      0.247,
      0.2558,
      0.4454,
      0.441,
      0.2883,
      0.2581,
      0.1951,
      0.5616,
      0.3231,
      0.1597,
      0.2452,
      0.4231,
      0.3987,
      0.3278,
      0.3916,
      0.2317,
      0.3948,
      0.314,
      0.3347,
      0.2961,
      0.3605,
      0.2258,
      0.3755,
      0.4645,
      0.46,
      0.453,
      0.5503,
      0.2549,
      0.464,
      0.3701,
      0.3579,
      0.3914,
      0.1888,
      0.5083,
      0.3382,
      0.5073,
      0.3764,
      0.3982,
      0.4744,
      0.4402,
      0.4782,
      0.4324,
      0.3878,
      0.3332,
      0.3295,
      0.1781,
      0.135,
      0.4707,
      0.3771,
      0.2056,
      0.3398,
      0.4446,
      0.4367,
      0.3409,
      0.3147,
      0.3694,
      0.4779,
      0.493,
      0.622,
      0.1046,
      0.325,
      0.4246,
      0.0955,
      0.398,
      0.572,
      0.4092,
      0.2518,
      0.2047,
      0.215,
      0.4066,
      0.2504,
      0.431,
      0.396,
      0.4693,
      0.4256,
      0.5048,
      0.2848,
      0.4681,
      0.364,
      0.4904,
      0.3967,
      0.183,
      0.1505,
      0.2209,
      0.3241,
      0.3696,
      0.2856,
      0.5539,
      0.4319,
      0.4749,
      0.4065,
      0.4277,
      0.392,
      0.2573,
      0.3561,
      0.2675,
      0.4818,
      0.3392,
      0.3337,
      0.2786,
      0.5626,
      0.5225,
      0.4036,
      0.4632,
      0.5302,
      0.3231,
      0.141,
      0.238,
      0.3391,
      0.3415,
      0.3125,
      0.3144,
      0.294,
      0.2582,
      0.4462,
      0.3816,
      0.3755,
      0.2833,
      0.3727,
      0.2912,
      0.468,
      0.4414,
      0.5227,
      0.3039,
      0.5007,
      0.3028,
      0.439,
      0.3574,
      0.3641,
      0.4078,
      0.2229,
      0.5218,
      0.3589,
      0.531,
      0.3754,
      0.3683,
      0.3579,
      0.4267,
      0.483,
      0.4137,
      0.3879,
      0.4034,
      0.1381,
      0.1671,
      0.3829,
      0.4003,
      0.2381,
      0.4342,
      0.1927,
      0.2319,
      0.3143,
      0.3084,
      0.4311,
      0.2303,
      0.3632,
      0.3233,
      0.6066,
      0.3685,
      0.2954,
      0.3691,
      0.2426,
      0.3877,
      0.3719,
      0.4828,
      0.3273,
      0.4085,
      0.3278,
      0.426,
      0.2806,
      0.4375,
      0.3069,
      0.3982,
      0.4568,
      0.4174,
      0.2846,
      0.4261,
      0.3601,
      0.3662,
      0.4638,
      0.1979,
      0.5154,
      0.361,
      0.5341,
      0.3559,
      0.3795,
      0.4967,
      0.4774,
      0.5254,
      0.4616,
      0.3578,
      0.4531,
      0.2466,
      0.3714,
      0.355,
      0.3493,
      0.2843,
      0.3146,
      0.2933,
      0.4566,
      0.3511,
      0.4958,
      0.3557,
      0.3791,
      0.0746,
      0.3208,
      0.4587,
      0.2066,
      0.1126,
      0.1334,
      0.0909,
      0.1065,
      0.1012,
      0.2222,
      0.1583,
      0.1163,
      0.1685,
      0.1488,
      0.0954,
      0.3315,
      0.157,
      0.3914,
      0.2696,
      0.3119,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2166,
      0.0986,
      0.1943,
      0.2161,
      0.1442,
      0.1814,
      0.2151,
      0.0596,
      0.0334,
      0.0264,
      0.1132,
      0.0404,
      0.0867,
      0,
      0.0716,
      0.0818,
      0.2989,
      0.4443,
      0.3745,
      0.3611,
      0.4573,
      0.3471,
      0.2981,
      0.3402,
      0.4294,
      0.4088,
      0.3732,
      0.339,
      0.365,
      0.1003,
      0.3468,
      0.1844,
      0.1925,
      0.3552,
      0.3301,
      0.2148,
      0.5258,
      0.3897,
      0.4473,
      0.4112,
      0.167,
      0.108,
      0.2552,
      0.2103,
      0.3855,
      0.1968,
      0.4903,
      0.3179,
      0.4946,
      0.4032,
      0.4318,
      0.4951,
      0.4088,
      0.2976,
      0.1373,
      0.385,
      0.2132,
      0.1336,
      0.3176,
      0.3654,
      0.4522,
      0.5524,
      0.5107,
      0.37,
      0.4283,
      0.4655,
      0.4066,
      0.1966,
      0.3156,
      0.4794,
      0.2535,
      0.2476,
      0.1794,
      0.2674,
      0.3727,
      0.3619,
      0.3129,
      0.1932,
      0.5281,
      0.3872,
      0.0847,
      0.1591,
      0.2967,
      0.4124,
      0.2596,
      0.4347,
      0.1226,
      0.4283,
      0.3351,
      0.3302,
      0.2893,
      0.3752,
      0.3486,
      0.3503,
      0.4474,
      0.4512,
      0.3526,
      0.508,
      0.2962,
      0.4282,
      0.3543,
      0.3261,
      0.3986,
      0.1504,
      0.6564,
      0.3566,
      0.4839,
      0.3916,
      0.348,
      0.5149,
      0.5014,
      0.493,
      0.4619,
      0.4116,
      0.3141,
      0.3229,
      0.1889,
      0.161,
      0.4208,
      0.4176,
      0.2662,
      0.1947,
      0.4134,
      0.3973,
      0.3432,
      0.4275,
      0.4262,
      0.4137,
      0.4793,
      0.6263,
      0.1727,
      0.3834,
      0.3946,
      0.0674,
      0.4803,
      0.5189,
      0.4886,
      0.1667,
      0.2326,
      0.3076,
      0.5186,
      0.2756,
      0.3742,
      0.4593,
      0.4939,
      0.2958,
      0.4858,
      0.379,
      0.4567,
      0.372,
      0.4904,
      0.2322,
      0.2084,
      0.2161,
      0.1991,
      0.3622,
      0.3665,
      0.3442,
      0.4869,
      0.4963,
      0.4848,
      0.4632,
      0.4345,
      0.3669,
      0.2861,
      0.2947,
      0.3972,
      0.405,
      0.3082,
      0.321,
      0.1486,
      0.553,
      0.4884,
      0.4347,
      0.3375,
      0.5577,
      0.2426,
      0.2092,
      0.2047,
      0.3507,
      0.2938,
      0.3527,
      0.2756,
      0.4553,
      0.1362,
      0.4962,
      0.3438,
      0.4091,
      0.2793,
      0.3199,
      0.3504,
      0.4177,
      0.444,
      0.4691,
      0.3367,
      0.4438,
      0.3127,
      0.4134,
      0.367,
      0.3457,
      0.4098,
      0.1395,
      0.624,
      0.3425,
      0.4982,
      0.3703,
      0.3717,
      0.4195,
      0.5114,
      0.4934,
      0.4984,
      0.3758,
      0.3189,
      0.1086,
      0.1354,
      0.4103,
      0.3426,
      0.2789,
      0.4923,
      0.2022,
      0.2159,
      0.4004,
      0.2774,
      0.4509,
      0.1688,
      0.3569,
      0.2815,
      0.5741,
      0.2773,
      0.3466,
      0.3472,
      0.16,
      0.4932,
      0.3468,
      0.4932,
      0.3629,
      0.378,
      0.2545,
      0.3881,
      0.3528,
      0.4029,
      0.4641,
      0.4701,
      0.453,
      0.4278,
      0.2611,
      0.4713,
      0.3347,
      0.3889,
      0.4759,
      0.1814,
      0.6567,
      0.3513,
      0.4876,
      0.3334,
      0.3294,
      0.5135,
      0.516,
      0.5049,
      0.4953,
      0.3748,
      0.3583,
      0.3636,
      0.4285,
      0.323,
      0.3598,
      0.2983,
      0.3193,
      0.3942,
      0.4007,
      0.3972,
      0.5336,
      0.3396,
      0.4238,
      0.1327,
      0.3492,
      0.4928,
      0.3538,
      0.1834,
      0.1084,
      0.0891,
      0.1054,
      0.0481,
      0.0686,
      0.176,
      0.1004,
      0.0787,
      0.0969,
      0.1532,
      0.305,
      0.1586,
      0.4455,
      0.133,
      0.4966,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2389,
      0.0782,
      0.1393,
      0.0312,
      0.0888,
      0.0245,
      0,
      0.0226,
      0.0445,
      0.0483,
      0.0357,
      0.0503,
      0.0138,
      0,
      0.1146,
      0.0679,
      0.2844,
      0.3535,
      0.2447,
      0.2672,
      0.4372,
      0.3703,
      0.2893,
      0.3173,
      0.4469,
      0.4036,
      0.3213,
      0.2914,
      0.3655,
      0.1503,
      0.3212,
      0.1442,
      0.1916,
      0.2657,
      0.368,
      0.2914,
      0.5122,
      0.3929,
      0.3976,
      0.4081,
      0.2586,
      0.1064,
      0.3122,
      0.0979,
      0.4118,
      0.1829,
      0.3967,
      0.4292,
      0.5349,
      0.3984,
      0.4628,
      0.562,
      0.4012,
      0.3021,
      0.0867,
      0.2838,
      0.1918,
      0.242,
      0.3641,
      0.4078,
      0.5224,
      0.5121,
      0.5,
      0.339,
      0.4067,
      0.4439,
      0.3417,
      0.2078,
      0.2448,
      0.5668,
      0.337,
      0.3138,
      0.3084,
      0.3654,
      0.3752,
      0.3339,
      0.2741,
      0.26,
      0.5388,
      0.2821,
      0.1909,
      0.2115,
      0.2545,
      0.3602,
      0.262,
      0.4924,
      0.1029,
      0.3531,
      0.3807,
      0.3442,
      0.2574,
      0.338,
      0.2933,
      0.3714,
      0.4512,
      0.4167,
      0.4273,
      0.5091,
      0.2396,
      0.4791,
      0.3328,
      0.4158,
      0.4084,
      0.1615,
      0.5875,
      0.3221,
      0.4574,
      0.3701,
      0.2955,
      0.4678,
      0.5309,
      0.4882,
      0.374,
      0.4053,
      0.3319,
      0.3775,
      0.191,
      0.2175,
      0.4281,
      0.4136,
      0.2746,
      0.294,
      0.4439,
      0.4044,
      0.3912,
      0.4885,
      0.3866,
      0.4197,
      0.455,
      0.5884,
      0.1351,
      0.4193,
      0.4265,
      0.1769,
      0.475,
      0.6208,
      0.4941,
      0.3315,
      0.1854,
      0.2969,
      0.5041,
      0.2685,
      0.3866,
      0.2098,
      0.4229,
      0.4367,
      0.4958,
      0.3044,
      0.4811,
      0.3805,
      0.4613,
      0.3244,
      0.1225,
      0.1547,
      0.3399,
      0.3375,
      0.3345,
      0.3405,
      0.6642,
      0.5186,
      0.4865,
      0.3886,
      0.3526,
      0.3197,
      0.3696,
      0.2181,
      0.2075,
      0.531,
      0.3039,
      0.3846,
      0.2998,
      0.6165,
      0.369,
      0.4402,
      0.334,
      0.6591,
      0.3348,
      0.1055,
      0.087,
      0.2988,
      0.2476,
      0.3553,
      0.2532,
      0.4897,
      0.1537,
      0.4982,
      0.4132,
      0.3134,
      0.242,
      0.3498,
      0.3456,
      0.4148,
      0.4622,
      0.431,
      0.3693,
      0.4986,
      0.295,
      0.4787,
      0.3337,
      0.3981,
      0.4129,
      0.0769,
      0.5225,
      0.2947,
      0.4688,
      0.4383,
      0.4003,
      0.4902,
      0.4888,
      0.5062,
      0.4831,
      0.3705,
      0.309,
      0.1437,
      0.1101,
      0.379,
      0.2659,
      0.2603,
      0.4623,
      0.1823,
      0.0788,
      0.3099,
      0.4093,
      0.4605,
      0.1566,
      0.3052,
      0.2805,
      0.6084,
      0.2116,
      0.27,
      0.3986,
      0.131,
      0.5161,
      0.4152,
      0.4727,
      0.3983,
      0.3359,
      0.3318,
      0.3766,
      0.3598,
      0.3702,
      0.4154,
      0.4867,
      0.4238,
      0.5049,
      0.2574,
      0.4936,
      0.3147,
      0.3082,
      0.4466,
      0.1077,
      0.513,
      0.3093,
      0.4465,
      0.3314,
      0.3861,
      0.4771,
      0.5443,
      0.4964,
      0.4749,
      0.3913,
      0.4022,
      0.3765,
      0.3687,
      0.3321,
      0.3516,
      0.2037,
      0.3718,
      0.4206,
      0.4196,
      0.3836,
      0.4392,
      0.3188,
      0.3616,
      0.0386,
      0.2519,
      0.5564,
      0.2832,
      0.1571,
      0,
      0.1184,
      0.0295,
      0.0504,
      0.1104,
      0.2199,
      0.1193,
      0.0694,
      0.1176,
      0.1458,
      0.2591,
      0.0442,
      0.462,
      0.1031,
      0.433,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1941,
      0.1035,
      0.0342,
      0.0553,
      0.0365,
      0.0276,
      0,
      0.0943,
      0.1004,
      0.1287,
      0.0799,
      0.0981,
      0.1111,
      0.0194,
      0.1412,
      0.133,
      0.3006,
      0.245,
      0.1726,
      0.2717,
      0.4219,
      0.3182,
      0.2349,
      0.298,
      0.3774,
      0.4188,
      0.2776,
      0.2912,
      0.2859,
      0.2061,
      0.2433,
      0.1192,
      0.0524,
      0.2182,
      0.3761,
      0.2004,
      0.5009,
      0.4779,
      0.3914,
      0.3805,
      0.1819,
      0.1077,
      0.2745,
      0.229,
      0.4394,
      0.1365,
      0.4147,
      0.3978,
      0.432,
      0.4252,
      0.498,
      0.5742,
      0.4285,
      0.208,
      0.1201,
      0.2589,
      0.2355,
      0.2917,
      0.3354,
      0.406,
      0.5151,
      0.4646,
      0.5375,
      0.3361,
      0.4474,
      0.4773,
      0.3374,
      0.1466,
      0.2871,
      0.5975,
      0.3151,
      0.218,
      0.2767,
      0.3352,
      0.4429,
      0.2421,
      0.3447,
      0.2205,
      0.5593,
      0.3222,
      0.2129,
      0.2093,
      0.1976,
      0.3622,
      0.3522,
      0.4675,
      0.0651,
      0.3856,
      0.3145,
      0.3541,
      0.2099,
      0.406,
      0.3778,
      0.409,
      0.3679,
      0.4681,
      0.3914,
      0.4844,
      0.3651,
      0.5363,
      0.2495,
      0.4111,
      0.3437,
      0.1456,
      0.5544,
      0.3029,
      0.4516,
      0.3448,
      0.3839,
      0.5027,
      0.4726,
      0.5514,
      0.425,
      0.4384,
      0.3765,
      0.4128,
      0.1696,
      0.201,
      0.4908,
      0.3615,
      0.4314,
      0.2739,
      0.4049,
      0.3787,
      0.3437,
      0.3177,
      0.3378,
      0.4802,
      0.458,
      0.6135,
      0.2452,
      0.359,
      0.3694,
      0.1946,
      0.4682,
      0.6501,
      0.4505,
      0.457,
      0.2791,
      0.2352,
      0.4756,
      0.4029,
      0.4733,
      0.3039,
      0.4735,
      0.3744,
      0.4833,
      0.2909,
      0.4916,
      0.3746,
      0.4861,
      0.3392,
      0.13,
      0.1458,
      0.3188,
      0.3159,
      0.3781,
      0.3259,
      0.6466,
      0.5079,
      0.5325,
      0.2747,
      0.3976,
      0.4351,
      0.1906,
      0.2303,
      0.1875,
      0.4189,
      0.3243,
      0.3423,
      0.2479,
      0.5126,
      0.4947,
      0.2943,
      0.3053,
      0.4977,
      0.341,
      0.0608,
      0.0475,
      0.3179,
      0.1581,
      0.3618,
      0.2856,
      0.5004,
      0.1669,
      0.452,
      0.3918,
      0.3626,
      0.259,
      0.3277,
      0.3645,
      0.3912,
      0.4283,
      0.5403,
      0.2772,
      0.4868,
      0.3431,
      0.5012,
      0.3406,
      0.3927,
      0.3574,
      0.0512,
      0.4647,
      0.3575,
      0.4498,
      0.4235,
      0.3962,
      0.4958,
      0.5345,
      0.5463,
      0.4867,
      0.3883,
      0.4313,
      0.0337,
      0.0114,
      0.3788,
      0.3463,
      0.2529,
      0.431,
      0.2122,
      0.2207,
      0.2389,
      0.3367,
      0.4487,
      0.2305,
      0.3456,
      0.3627,
      0.5877,
      0.2956,
      0.2899,
      0.3817,
      0.2178,
      0.5049,
      0.3186,
      0.4512,
      0.2133,
      0.2541,
      0.3472,
      0.361,
      0.3762,
      0.4829,
      0.3419,
      0.4353,
      0.4396,
      0.4727,
      0.3027,
      0.5318,
      0.2844,
      0.354,
      0.4086,
      0.0932,
      0.4744,
      0.3057,
      0.4359,
      0.3629,
      0.3715,
      0.5442,
      0.5571,
      0.5488,
      0.4538,
      0.4063,
      0.4101,
      0.3132,
      0.4233,
      0.3142,
      0.3206,
      0.2824,
      0.2407,
      0.3463,
      0.3085,
      0.3704,
      0.4634,
      0.3728,
      0.3258,
      0.2188,
      0.2974,
      0.4634,
      0.2598,
      0.1399,
      0.0756,
      0.1166,
      0.0658,
      0.0416,
      0.0898,
      0.2184,
      0,
      0.1694,
      0.1569,
      0.1217,
      0.2427,
      0.108,
      0.4388,
      0.0774,
      0.401,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2108,
      0.078,
      0,
      0.051,
      0.0017,
      0.0023,
      0,
      0.2309,
      0.2323,
      0.0599,
      0.0343,
      0.0721,
      0.067,
      0,
      0.0156,
      0.0854,
      0.2918,
      0.1837,
      0.1409,
      0.2645,
      0.409,
      0.3943,
      0.2049,
      0.2608,
      0.4033,
      0.4351,
      0.2485,
      0.3733,
      0.3479,
      0.1227,
      0.1958,
      0.0686,
      0.1314,
      0.2013,
      0.4539,
      0.1604,
      0.428,
      0.4558,
      0.433,
      0.4657,
      0.25,
      0.1414,
      0.3308,
      0.2103,
      0.3305,
      0.1462,
      0.4581,
      0.3937,
      0.4718,
      0.4091,
      0.5158,
      0.5179,
      0.4109,
      0.2695,
      0.0882,
      0.2944,
      0.2378,
      0.2468,
      0.3462,
      0.3486,
      0.508,
      0.4752,
      0.5077,
      0.3049,
      0.4026,
      0.503,
      0.2006,
      0.1601,
      0.2759,
      0.594,
      0.2646,
      0.2621,
      0.1891,
      0.4151,
      0.4654,
      0.2229,
      0.3774,
      0.2549,
      0.5828,
      0.3048,
      0.1891,
      0.1608,
      0.2019,
      0.391,
      0.3684,
      0.4508,
      0.1932,
      0.3916,
      0.2732,
      0.3345,
      0.2494,
      0.3462,
      0.3742,
      0.3229,
      0.4465,
      0.4171,
      0.3847,
      0.5053,
      0.3456,
      0.4347,
      0.2943,
      0.4171,
      0.3747,
      0.0842,
      0.5704,
      0.2824,
      0.4176,
      0.3761,
      0.3521,
      0.4379,
      0.4265,
      0.5337,
      0.4357,
      0.3892,
      0.3579,
      0.373,
      0.2061,
      0.0645,
      0.4085,
      0.3916,
      0.3468,
      0.2273,
      0.4573,
      0.4447,
      0.3628,
      0.3703,
      0.3607,
      0.5211,
      0.4435,
      0.591,
      0.1592,
      0.2487,
      0.3605,
      0.1312,
      0.42,
      0.6948,
      0.4424,
      0.3694,
      0.2728,
      0.2717,
      0.4677,
      0.5019,
      0.3764,
      0.359,
      0.4638,
      0.4108,
      0.5014,
      0.2646,
      0.4863,
      0.3972,
      0.4723,
      0.3974,
      0.1088,
      0.1074,
      0.2102,
      0.3042,
      0.4774,
      0.24,
      0.6114,
      0.4151,
      0.4902,
      0.3032,
      0.3652,
      0.2904,
      0.1333,
      0.205,
      0.1594,
      0.4835,
      0.2704,
      0.3279,
      0.2724,
      0.4839,
      0.5411,
      0.3951,
      0.3734,
      0.5665,
      0.29,
      0.1425,
      0.0656,
      0.3318,
      0.174,
      0.3844,
      0.3319,
      0.4131,
      0.1874,
      0.4192,
      0.2352,
      0.3797,
      0.2758,
      0.3197,
      0.3642,
      0.3638,
      0.4143,
      0.4732,
      0.2888,
      0.4368,
      0.3578,
      0.4744,
      0.3951,
      0.4065,
      0.3909,
      0.0516,
      0.5655,
      0.2829,
      0.4789,
      0.3593,
      0.4017,
      0.4727,
      0.3776,
      0.511,
      0.4431,
      0.3759,
      0.3368,
      0.0728,
      0,
      0.4248,
      0.2209,
      0.2215,
      0.4012,
      0.2449,
      0.2491,
      0.2907,
      0.2671,
      0.4136,
      0.1828,
      0.3789,
      0.366,
      0.6342,
      0.3029,
      0.2953,
      0.3234,
      0.2218,
      0.4127,
      0.3728,
      0.4,
      0.2267,
      0.2899,
      0.3532,
      0.2394,
      0.3227,
      0.4055,
      0.4413,
      0.4331,
      0.3759,
      0.495,
      0.2875,
      0.4517,
      0.3151,
      0.3579,
      0.4143,
      0.0806,
      0.5556,
      0.253,
      0.4676,
      0.3698,
      0.3874,
      0.4606,
      0.4557,
      0.5419,
      0.4085,
      0.3177,
      0.3577,
      0.3301,
      0.4067,
      0.3681,
      0.2948,
      0.2011,
      0.3225,
      0.3435,
      0.3891,
      0.3359,
      0.4211,
      0.333,
      0.3194,
      0.1253,
      0.3673,
      0.4728,
      0.3131,
      0.1266,
      0.0354,
      0.0513,
      0.1156,
      0.033,
      0.1022,
      0.1644,
      0.1357,
      0.0793,
      0.0842,
      0.1281,
      0.2798,
      0.1455,
      0.4699,
      0.0236,
      0.4164,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1723,
      0.0239,
      0.0745,
      0.0689,
      0.0651,
      0,
      0,
      0.0781,
      0.1118,
      0.1338,
      0.1165,
      0.145,
      0.1466,
      0.0487,
      0.214,
      0.1877,
      0.2925,
      0.1905,
      0.2088,
      0.3147,
      0.4227,
      0.5026,
      0.2968,
      0.4738,
      0.4316,
      0.4115,
      0.2709,
      0.3698,
      0.3597,
      0.2193,
      0.3411,
      0.1384,
      0.1746,
      0.165,
      0.4551,
      0.2214,
      0.4315,
      0.3955,
      0.4144,
      0.4523,
      0.212,
      0.2045,
      0.368,
      0.348,
      0.4446,
      0.2182,
      0.4768,
      0.363,
      0.4645,
      0.3461,
      0.5267,
      0.4936,
      0.4172,
      0.3221,
      0.1121,
      0.3311,
      0.2224,
      0.2501,
      0.2874,
      0.2763,
      0.5142,
      0.4942,
      0.5587,
      0.3427,
      0.4386,
      0.4622,
      0.2557,
      0.1628,
      0.2326,
      0.5983,
      0.1524,
      0.1956,
      0.2714,
      0.4394,
      0.4378,
      0.3402,
      0.3425,
      0.265,
      0.4935,
      0.4072,
      0.177,
      0.268,
      0.1768,
      0.3918,
      0.3079,
      0.3795,
      0.162,
      0.4315,
      0.3494,
      0.2833,
      0.2797,
      0.3275,
      0.3761,
      0.4309,
      0.3852,
      0.4385,
      0.4152,
      0.4685,
      0.2033,
      0.5255,
      0.2864,
      0.368,
      0.355,
      0.113,
      0.6424,
      0.2078,
      0.526,
      0.341,
      0.3613,
      0.4927,
      0.406,
      0.5701,
      0.4361,
      0.4389,
      0.318,
      0.3669,
      0.187,
      0.095,
      0.3836,
      0.4141,
      0.2505,
      0.2987,
      0.5058,
      0.3987,
      0.3523,
      0.4277,
      0.4322,
      0.4385,
      0.4921,
      0.5948,
      0.2336,
      0.3065,
      0.3587,
      0.0788,
      0.4024,
      0.6345,
      0.3966,
      0.3135,
      0.2141,
      0.2504,
      0.4317,
      0.366,
      0.4482,
      0.3243,
      0.4602,
      0.4695,
      0.4578,
      0.2386,
      0.5307,
      0.4278,
      0.4344,
      0.4179,
      0.101,
      0.1351,
      0.302,
      0.3794,
      0.3976,
      0.3393,
      0.6759,
      0.4345,
      0.5513,
      0.3389,
      0.4081,
      0.3668,
      0.2155,
      0.1783,
      0.2594,
      0.51,
      0.2923,
      0.3093,
      0.2489,
      0.4813,
      0.458,
      0.403,
      0.3917,
      0.617,
      0.3089,
      0.0505,
      0.0843,
      0.3097,
      0.2025,
      0.4064,
      0.3093,
      0.3643,
      0.1523,
      0.4401,
      0.3237,
      0.4108,
      0.2969,
      0.3725,
      0.3885,
      0.4315,
      0.426,
      0.4699,
      0.3806,
      0.4651,
      0.2662,
      0.5367,
      0.3481,
      0.4097,
      0.3864,
      0.056,
      0.6174,
      0.2764,
      0.5335,
      0.3623,
      0.3354,
      0.4864,
      0.481,
      0.5527,
      0.4739,
      0.4174,
      0.3059,
      0.0928,
      0.0116,
      0.3726,
      0.2926,
      0.226,
      0.4096,
      0.2361,
      0.2011,
      0.2658,
      0.3126,
      0.4467,
      0.2591,
      0.3715,
      0.2541,
      0.6105,
      0.344,
      0.3484,
      0.3967,
      0.1711,
      0.4397,
      0.3777,
      0.4758,
      0.291,
      0.3367,
      0.3667,
      0.3528,
      0.4049,
      0.381,
      0.3992,
      0.5107,
      0.5153,
      0.4469,
      0.282,
      0.5324,
      0.3252,
      0.349,
      0.3938,
      0.1753,
      0.6231,
      0.2204,
      0.4907,
      0.343,
      0.3116,
      0.536,
      0.4569,
      0.5444,
      0.4375,
      0.4052,
      0.3983,
      0.3224,
      0.4626,
      0.3875,
      0.319,
      0.2246,
      0.2658,
      0.4007,
      0.4643,
      0.434,
      0.4337,
      0.3854,
      0.289,
      0.2549,
      0.2952,
      0.4751,
      0.3137,
      0.0693,
      0.0397,
      0,
      0.0581,
      0.0976,
      0.1373,
      0.17,
      0.0934,
      0.1452,
      0.1747,
      0.151,
      0.3361,
      0.1348,
      0.4074,
      0.023,
      0.3545,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1637,
      0.059,
      0.1242,
      0.0364,
      0.0985,
      0,
      0.0206,
      0.05,
      0.0946,
      0,
      0.0846,
      0,
      0.0757,
      0,
      0.1117,
      0.0773,
      0.2833,
      0.2199,
      0.1795,
      0.2441,
      0.4032,
      0.4518,
      0.3378,
      0.4346,
      0.468,
      0.4174,
      0.3278,
      0.3191,
      0.349,
      0.1139,
      0.3523,
      0.2234,
      0.1654,
      0.2226,
      0.4167,
      0.3382,
      0.4603,
      0.3808,
      0.418,
      0.4716,
      0.1731,
      0.1042,
      0.3058,
      0.2358,
      0.4531,
      0.1807,
      0.4489,
      0.4505,
      0.455,
      0.4238,
      0.4939,
      0.514,
      0.42,
      0.301,
      0.2229,
      0.3393,
      0.2216,
      0.2565,
      0.3949,
      0.3332,
      0.4265,
      0.4886,
      0.4329,
      0.3749,
      0.3655,
      0.4171,
      0.2921,
      0.1626,
      0.176,
      0.5261,
      0.2204,
      0.1495,
      0.2813,
      0.4546,
      0.417,
      0.3501,
      0.3643,
      0.3647,
      0.5234,
      0.3128,
      0.1714,
      0.2004,
      0.2205,
      0.3535,
      0.3334,
      0.4176,
      0.1746,
      0.416,
      0.3772,
      0.2749,
      0.1881,
      0.3433,
      0.354,
      0.3839,
      0.5175,
      0.3952,
      0.3928,
      0.4423,
      0.3201,
      0.4336,
      0.2582,
      0.4176,
      0.4024,
      0.133,
      0.609,
      0.3012,
      0.4317,
      0.3977,
      0.3319,
      0.3974,
      0.514,
      0.4252,
      0.3945,
      0.3306,
      0.2992,
      0.4716,
      0.2284,
      0.1318,
      0.4537,
      0.3948,
      0.2533,
      0.298,
      0.489,
      0.4232,
      0.3887,
      0.358,
      0.4063,
      0.3984,
      0.4688,
      0.7125,
      0.1248,
      0.2264,
      0.4041,
      0.1266,
      0.4464,
      0.7114,
      0.4916,
      0.3041,
      0.1501,
      0.1091,
      0.4279,
      0.3309,
      0.4007,
      0.3742,
      0.395,
      0.398,
      0.4501,
      0.2538,
      0.5693,
      0.3963,
      0.5371,
      0.409,
      0.1444,
      0.1672,
      0.3299,
      0.3938,
      0.3532,
      0.2476,
      0.6021,
      0.4162,
      0.4078,
      0.3591,
      0.3855,
      0.4115,
      0.2544,
      0.167,
      0.1532,
      0.4817,
      0.3085,
      0.3248,
      0.247,
      0.5046,
      0.5216,
      0.3502,
      0.5703,
      0.5588,
      0.2851,
      0.1199,
      0.1478,
      0.3169,
      0.2647,
      0.26,
      0.3508,
      0.4045,
      0.1425,
      0.4531,
      0.3649,
      0.4099,
      0.3221,
      0.3216,
      0.3155,
      0.3857,
      0.4223,
      0.4509,
      0.2699,
      0.4539,
      0.2972,
      0.5235,
      0.3791,
      0.4066,
      0.3952,
      0.1607,
      0.548,
      0.3154,
      0.4962,
      0.3944,
      0.2996,
      0.3879,
      0.4622,
      0.4625,
      0.443,
      0.3214,
      0.3281,
      0.138,
      0.0705,
      0.2918,
      0.2444,
      0.299,
      0.4306,
      0.1858,
      0.1801,
      0.2332,
      0.2468,
      0.4195,
      0.2142,
      0.427,
      0.2605,
      0.6558,
      0.3139,
      0.284,
      0.379,
      0.1567,
      0.385,
      0.4379,
      0.5039,
      0.3515,
      0.329,
      0.2562,
      0.2874,
      0.3809,
      0.3798,
      0.4307,
      0.5081,
      0.4558,
      0.4858,
      0.2341,
      0.4969,
      0.3253,
      0.2801,
      0.4439,
      0.1485,
      0.6036,
      0.3249,
      0.4081,
      0.3722,
      0.3377,
      0.3792,
      0.3895,
      0.4141,
      0.5003,
      0.3275,
      0.4075,
      0.3145,
      0.3771,
      0.3702,
      0.3808,
      0.2268,
      0.3088,
      0.357,
      0.4333,
      0.4492,
      0.5025,
      0.3116,
      0.2875,
      0.0863,
      0.2305,
      0.527,
      0.3279,
      0.206,
      0.0053,
      0.1049,
      0.0475,
      0.1845,
      0.2052,
      0.2405,
      0.0734,
      0.1022,
      0.1113,
      0.101,
      0.3217,
      0.181,
      0.3609,
      0.0996,
      0.4538,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2197,
      0.1359,
      0.238,
      0.2387,
      0.2018,
      0.2351,
      0.2055,
      0.0558,
      0.0789,
      0,
      0.0947,
      0.0318,
      0.0481,
      0.0672,
      0.0865,
      0.0246,
      0.3479,
      0.3688,
      0.3351,
      0.3517,
      0.3489,
      0.3732,
      0.4156,
      0.3674,
      0.4947,
      0.4311,
      0.3401,
      0.24,
      0.3763,
      0.0579,
      0.3608,
      0.1998,
      0.1722,
      0.2625,
      0.4233,
      0.2634,
      0.4547,
      0.4553,
      0.3946,
      0.4239,
      0.1184,
      0.1953,
      0.2873,
      0.2465,
      0.4033,
      0.189,
      0.4298,
      0.4229,
      0.4708,
      0.4355,
      0.545,
      0.5357,
      0.3923,
      0.2738,
      0.2027,
      0.3117,
      0.2631,
      0.22,
      0.3532,
      0.2993,
      0.4192,
      0.5747,
      0.4114,
      0.3821,
      0.3419,
      0.3756,
      0.3322,
      0.2692,
      0.2918,
      0.5084,
      0.2652,
      0.2257,
      0.2802,
      0.4759,
      0.4128,
      0.2569,
      0.3495,
      0.2819,
      0.5712,
      0.3198,
      0.011,
      0.1374,
      0.2629,
      0.3472,
      0.3112,
      0.4025,
      0.0895,
      0.4424,
      0.3014,
      0.2877,
      0.2744,
      0.3239,
      0.3282,
      0.3816,
      0.5696,
      0.4506,
      0.4118,
      0.4616,
      0.1911,
      0.4399,
      0.3314,
      0.4487,
      0.3836,
      0.129,
      0.614,
      0.3287,
      0.4567,
      0.3626,
      0.3775,
      0.4287,
      0.4113,
      0.4043,
      0.4121,
      0.3238,
      0.417,
      0.4185,
      0.2337,
      0.2488,
      0.4893,
      0.398,
      0.278,
      0.3089,
      0.4976,
      0.4145,
      0.3257,
      0.2929,
      0.3504,
      0.4044,
      0.3951,
      0.6154,
      0.1004,
      0.3282,
      0.2787,
      0.1051,
      0.4147,
      0.6132,
      0.4234,
      0.3397,
      0.1495,
      0.2066,
      0.3162,
      0.2955,
      0.4603,
      0.4501,
      0.4287,
      0.4297,
      0.5053,
      0.1533,
      0.4498,
      0.4313,
      0.4576,
      0.3588,
      0.2078,
      0.2028,
      0.2626,
      0.3462,
      0.4103,
      0.2822,
      0.6196,
      0.4252,
      0.399,
      0.368,
      0.407,
      0.3336,
      0.1658,
      0.2209,
      0.3412,
      0.4998,
      0.3507,
      0.2902,
      0.2739,
      0.4825,
      0.5173,
      0.3576,
      0.5556,
      0.4793,
      0.2846,
      0.1716,
      0.188,
      0.4187,
      0.2442,
      0.3519,
      0.3108,
      0.3713,
      0.1722,
      0.4185,
      0.3304,
      0.4203,
      0.2639,
      0.2167,
      0.2902,
      0.4196,
      0.4962,
      0.4745,
      0.3157,
      0.3934,
      0.2386,
      0.3928,
      0.3224,
      0.3915,
      0.3938,
      0.2065,
      0.5867,
      0.353,
      0.511,
      0.4121,
      0.3182,
      0.4193,
      0.4668,
      0.3774,
      0.4467,
      0.2453,
      0.3809,
      0.1948,
      0.1659,
      0.3588,
      0.2601,
      0.295,
      0.3744,
      0.2297,
      0.211,
      0.2506,
      0.2483,
      0.4876,
      0.2624,
      0.4011,
      0.2813,
      0.6223,
      0.2482,
      0.256,
      0.4055,
      0.2917,
      0.4305,
      0.4437,
      0.411,
      0.3432,
      0.3248,
      0.3612,
      0.2711,
      0.3049,
      0.3658,
      0.4215,
      0.5129,
      0.4524,
      0.4595,
      0.2743,
      0.4084,
      0.363,
      0.2256,
      0.4735,
      0.2205,
      0.6144,
      0.2994,
      0.4654,
      0.3446,
      0.3612,
      0.4753,
      0.4457,
      0.4047,
      0.4412,
      0.2582,
      0.4385,
      0.3138,
      0.2786,
      0.3407,
      0.3824,
      0.3277,
      0.3513,
      0.4433,
      0.4903,
      0.3676,
      0.5025,
      0.3194,
      0.2012,
      0.0665,
      0.2093,
      0.5187,
      0.2829,
      0.1742,
      0.0872,
      0.1517,
      0.0694,
      0.1633,
      0.1259,
      0.222,
      0.0975,
      0.1238,
      0.1207,
      0.111,
      0.3025,
      0.1319,
      0.4464,
      0.1303,
      0.4187,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2014,
      0.1451,
      0.1606,
      0.1833,
      0.1205,
      0.1457,
      0.1666,
      0.04,
      0.0685,
      0,
      0.0324,
      0,
      0.0458,
      0,
      0.0475,
      0.0026,
      0.2929,
      0.3239,
      0.3105,
      0.3968,
      0.3177,
      0.4144,
      0.3493,
      0.3349,
      0.5334,
      0.3643,
      0.405,
      0.3457,
      0.3481,
      0.0098,
      0.2855,
      0.1795,
      0.1665,
      0.3314,
      0.4084,
      0.1974,
      0.4788,
      0.4106,
      0.4614,
      0.4381,
      0.1963,
      0.2145,
      0.3092,
      0.3175,
      0.4063,
      0.2221,
      0.4581,
      0.3997,
      0.4551,
      0.4518,
      0.5313,
      0.4897,
      0.3512,
      0.2919,
      0.0989,
      0.1988,
      0.2803,
      0.2485,
      0.3247,
      0.3231,
      0.4218,
      0.5291,
      0.4301,
      0.4308,
      0.3602,
      0.4924,
      0.3592,
      0.214,
      0.327,
      0.4808,
      0.3236,
      0.2662,
      0.2752,
      0.4919,
      0.4408,
      0.3224,
      0.3463,
      0.3245,
      0.6171,
      0.3744,
      0.1137,
      0.2558,
      0.3287,
      0.331,
      0.2654,
      0.3695,
      0.0852,
      0.4924,
      0.3428,
      0.3003,
      0.314,
      0.3481,
      0.3786,
      0.3689,
      0.6008,
      0.4245,
      0.4326,
      0.4438,
      0.3396,
      0.4675,
      0.3684,
      0.4178,
      0.4497,
      0.149,
      0.4588,
      0.2877,
      0.4316,
      0.4372,
      0.391,
      0.4366,
      0.4991,
      0.4575,
      0.4637,
      0.2969,
      0.4424,
      0.3623,
      0.2225,
      0.1922,
      0.4517,
      0.3868,
      0.224,
      0.2506,
      0.4907,
      0.4664,
      0.3474,
      0.4635,
      0.4171,
      0.3993,
      0.4748,
      0.6253,
      0.2086,
      0.3868,
      0.3803,
      0.1095,
      0.4359,
      0.6237,
      0.4928,
      0.2691,
      0.2511,
      0.1849,
      0.2299,
      0.2902,
      0.455,
      0.3503,
      0.4119,
      0.4241,
      0.4448,
      0.3251,
      0.5603,
      0.4035,
      0.4605,
      0.353,
      0.16,
      0.2189,
      0.2798,
      0.4227,
      0.3603,
      0.3249,
      0.6651,
      0.5044,
      0.4349,
      0.4353,
      0.3427,
      0.3904,
      0.2651,
      0.3119,
      0.2532,
      0.457,
      0.3021,
      0.2961,
      0.2578,
      0.5002,
      0.5556,
      0.3556,
      0.4356,
      0.5375,
      0.264,
      0.1262,
      0.2137,
      0.3967,
      0.3508,
      0.2998,
      0.2173,
      0.3827,
      0.1751,
      0.5127,
      0.2817,
      0.4428,
      0.2322,
      0.3458,
      0.3419,
      0.406,
      0.55,
      0.4939,
      0.3484,
      0.4002,
      0.3554,
      0.5063,
      0.3094,
      0.3678,
      0.4415,
      0.2056,
      0.5627,
      0.3511,
      0.3691,
      0.4095,
      0.2939,
      0.3969,
      0.4612,
      0.45,
      0.4968,
      0.3114,
      0.4365,
      0.1397,
      0.1096,
      0.3624,
      0.2294,
      0.2445,
      0.3455,
      0.2825,
      0.2312,
      0.3324,
      0.2856,
      0.4564,
      0.2499,
      0.3798,
      0.3826,
      0.6254,
      0.2751,
      0.2747,
      0.3642,
      0.1885,
      0.4677,
      0.4275,
      0.5071,
      0.4389,
      0.3938,
      0.4122,
      0.3398,
      0.2645,
      0.3754,
      0.4827,
      0.4728,
      0.4584,
      0.4591,
      0.2497,
      0.5186,
      0.3876,
      0.3325,
      0.4884,
      0.2203,
      0.5804,
      0.3061,
      0.3883,
      0.3626,
      0.3212,
      0.3961,
      0.4403,
      0.3762,
      0.5176,
      0.2322,
      0.4434,
      0.264,
      0.4139,
      0.2518,
      0.3822,
      0.289,
      0.301,
      0.3138,
      0.5237,
      0.4366,
      0.528,
      0.3159,
      0.3602,
      0.1172,
      0.311,
      0.5001,
      0.2593,
      0.1649,
      0.1456,
      0.1058,
      0.1474,
      0.1486,
      0.1443,
      0.201,
      0.1331,
      0.1274,
      0.0924,
      0.1243,
      0.3415,
      0.1137,
      0.446,
      0.1991,
      0.4041,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1764,
      0.1077,
      0.1219,
      0.0388,
      0.09,
      0.0636,
      0.0448,
      0.0353,
      0.1113,
      0.0761,
      0.0937,
      0.0593,
      0.0872,
      0,
      0.0574,
      0.0807,
      0.3963,
      0.2232,
      0.18,
      0.2129,
      0.3412,
      0.3626,
      0.4012,
      0.3147,
      0.5776,
      0.4356,
      0.3116,
      0.356,
      0.4064,
      0.0947,
      0.2904,
      0.1602,
      0.1427,
      0.2613,
      0.4277,
      0.2135,
      0.4891,
      0.3326,
      0.4623,
      0.4784,
      0.1106,
      0.2138,
      0.303,
      0.2877,
      0.4018,
      0.1624,
      0.4201,
      0.3807,
      0.484,
      0.437,
      0.6098,
      0.4528,
      0.3999,
      0.2641,
      0.2068,
      0.3445,
      0.2593,
      0.2603,
      0.3669,
      0.353,
      0.4713,
      0.3982,
      0.4731,
      0.3567,
      0.2509,
      0.43,
      0.3728,
      0.1837,
      0.3306,
      0.5144,
      0.268,
      0.2125,
      0.3364,
      0.5659,
      0.48,
      0.3755,
      0.3868,
      0.3049,
      0.5461,
      0.3886,
      0.1981,
      0.2766,
      0.316,
      0.4333,
      0.3222,
      0.4303,
      0.1473,
      0.4299,
      0.3732,
      0.3301,
      0.3063,
      0.3392,
      0.3784,
      0.3902,
      0.5948,
      0.4368,
      0.4356,
      0.4912,
      0.334,
      0.5683,
      0.3671,
      0.3856,
      0.4523,
      0.22,
      0.57,
      0.2938,
      0.4989,
      0.4416,
      0.3778,
      0.4742,
      0.5253,
      0.4893,
      0.4475,
      0.2735,
      0.2457,
      0.3323,
      0.2382,
      0.2005,
      0.4281,
      0.4062,
      0.2425,
      0.2552,
      0.5176,
      0.4505,
      0.3756,
      0.5131,
      0.45,
      0.4556,
      0.4833,
      0.5967,
      0.1531,
      0.4073,
      0.3635,
      0.1532,
      0.4538,
      0.6101,
      0.5104,
      0.3081,
      0.2155,
      0.2466,
      0.3608,
      0.2891,
      0.489,
      0.3105,
      0.4202,
      0.441,
      0.4744,
      0.3436,
      0.6231,
      0.3912,
      0.49,
      0.4079,
      0.0625,
      0.2031,
      0.2436,
      0.3981,
      0.3987,
      0.2003,
      0.5709,
      0.4759,
      0.4543,
      0.3225,
      0.2254,
      0.4074,
      0.3841,
      0.1894,
      0.1808,
      0.4169,
      0.3416,
      0.2367,
      0.2972,
      0.5119,
      0.5527,
      0.413,
      0.3896,
      0.6257,
      0.2889,
      0.1422,
      0.2327,
      0.3752,
      0.2191,
      0.3975,
      0.2863,
      0.3852,
      0.188,
      0.492,
      0.3763,
      0.4004,
      0.3075,
      0.3722,
      0.3121,
      0.4115,
      0.5499,
      0.4911,
      0.3298,
      0.5046,
      0.3605,
      0.6192,
      0.3805,
      0.4449,
      0.4398,
      0.1676,
      0.5697,
      0.2551,
      0.4595,
      0.4285,
      0.324,
      0.4399,
      0.4551,
      0.4704,
      0.5186,
      0.2826,
      0.3363,
      0.0109,
      0.0059,
      0.3296,
      0.2935,
      0.3273,
      0.3862,
      0.2375,
      0.2246,
      0.2565,
      0.2544,
      0.365,
      0.2918,
      0.3967,
      0.3219,
      0.6584,
      0.3979,
      0.2536,
      0.3769,
      0.2592,
      0.4446,
      0.4152,
      0.5341,
      0.4076,
      0.3789,
      0.3997,
      0.2687,
      0.2868,
      0.3982,
      0.4577,
      0.4521,
      0.5097,
      0.5263,
      0.299,
      0.6069,
      0.3492,
      0.39,
      0.4713,
      0.1512,
      0.5786,
      0.342,
      0.4736,
      0.2618,
      0.3365,
      0.4624,
      0.4035,
      0.424,
      0.5066,
      0.2159,
      0.3625,
      0.2435,
      0.3978,
      0.2731,
      0.3346,
      0.2792,
      0.3106,
      0.3291,
      0.5147,
      0.4788,
      0.547,
      0.3245,
      0.3864,
      0.1151,
      0.2734,
      0.4862,
      0.2669,
      0.1842,
      0.15,
      0.1231,
      0.0795,
      0.136,
      0.1826,
      0.2408,
      0.1622,
      0.1065,
      0.1118,
      0.0075,
      0.3015,
      0.1556,
      0.4336,
      0.0674,
      0.4488,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1984,
      0.0906,
      0.1339,
      0.0841,
      0.0578,
      0.0356,
      0,
      0.0631,
      0.091,
      0.0642,
      0.1085,
      0.0415,
      0.0183,
      0.0246,
      0,
      0.1595,
      0.3089,
      0.2068,
      0.135,
      0.2217,
      0.266,
      0.3892,
      0.3525,
      0.3102,
      0.4191,
      0.4015,
      0.3524,
      0.297,
      0.4142,
      0.1481,
      0.2345,
      0.1207,
      0.142,
      0.2121,
      0.3837,
      0.1835,
      0.45,
      0.3758,
      0.4024,
      0.4544,
      0.266,
      0.1007,
      0.3046,
      0.2073,
      0.3341,
      0.1975,
      0.4609,
      0.444,
      0.4265,
      0.4334,
      0.5099,
      0.5047,
      0.3788,
      0.3165,
      0.1674,
      0.3053,
      0.2167,
      0.2349,
      0.402,
      0.3044,
      0.4739,
      0.3944,
      0.5173,
      0.264,
      0.3918,
      0.4077,
      0.3635,
      0.2348,
      0.2559,
      0.5216,
      0.2979,
      0.3382,
      0.2126,
      0.462,
      0.3959,
      0.3386,
      0.3374,
      0.3449,
      0.609,
      0.3639,
      0.1872,
      0.2412,
      0.2056,
      0.3721,
      0.2946,
      0.3988,
      0.0514,
      0.587,
      0.3713,
      0.2995,
      0.2281,
      0.3703,
      0.314,
      0.4084,
      0.4633,
      0.4583,
      0.4231,
      0.4901,
      0.3165,
      0.4686,
      0.3397,
      0.358,
      0.3988,
      0.1831,
      0.5798,
      0.3202,
      0.4602,
      0.4563,
      0.3615,
      0.4711,
      0.4764,
      0.5288,
      0.3621,
      0.435,
      0.3835,
      0.3295,
      0.1981,
      0.1754,
      0.4509,
      0.3902,
      0.2963,
      0.3203,
      0.5164,
      0.3171,
      0.3436,
      0.3424,
      0.369,
      0.4986,
      0.5003,
      0.598,
      0.1399,
      0.3547,
      0.3282,
      0.0799,
      0.3927,
      0.5886,
      0.433,
      0.347,
      0.1651,
      0.2264,
      0.3894,
      0.5041,
      0.4765,
      0.3609,
      0.3909,
      0.4332,
      0.4728,
      0.1822,
      0.5437,
      0.3914,
      0.5203,
      0.3789,
      0.1477,
      0.1817,
      0.3002,
      0.3648,
      0.479,
      0.2617,
      0.6466,
      0.4388,
      0.496,
      0.3359,
      0.3818,
      0.3473,
      0.2688,
      0.2471,
      0.1714,
      0.44,
      0.3297,
      0.3432,
      0.2499,
      0.5155,
      0.496,
      0.3864,
      0.3107,
      0.5781,
      0.2851,
      0.1509,
      0.1776,
      0.3309,
      0.2856,
      0.3831,
      0.3356,
      0.3387,
      0.1491,
      0.5772,
      0.3389,
      0.3167,
      0.1852,
      0.3639,
      0.2888,
      0.3844,
      0.5361,
      0.4754,
      0.3832,
      0.4684,
      0.346,
      0.5385,
      0.3871,
      0.4417,
      0.3464,
      0.1021,
      0.6154,
      0.3334,
      0.4674,
      0.4566,
      0.2829,
      0.5017,
      0.439,
      0.5044,
      0.4119,
      0.357,
      0.3176,
      0,
      0.0484,
      0.3078,
      0.2438,
      0.3187,
      0.4331,
      0.2301,
      0.1995,
      0.1817,
      0.2991,
      0.466,
      0.2687,
      0.3875,
      0.2569,
      0.5796,
      0.3621,
      0.3124,
      0.3878,
      0.1239,
      0.4368,
      0.3257,
      0.4234,
      0.2905,
      0.3383,
      0.2622,
      0.3435,
      0.3721,
      0.3754,
      0.3616,
      0.4572,
      0.5336,
      0.5084,
      0.2986,
      0.5227,
      0.2776,
      0.3956,
      0.4471,
      0.1484,
      0.6009,
      0.3213,
      0.4523,
      0.3159,
      0.2821,
      0.4491,
      0.3982,
      0.5283,
      0.4095,
      0.3662,
      0.3373,
      0.1821,
      0.3715,
      0.3172,
      0.3323,
      0.2,
      0.3482,
      0.3397,
      0.5189,
      0.3799,
      0.5541,
      0.2351,
      0.3091,
      0.1117,
      0.3245,
      0.533,
      0.2254,
      0.1204,
      0.1358,
      0.088,
      0.1178,
      0.1087,
      0.1415,
      0.196,
      0.1763,
      0.1645,
      0.1434,
      0.1022,
      0.2941,
      0.1629,
      0.3496,
      0.0473,
      0.4194,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1302,
      0.0438,
      0.1588,
      0.0245,
      0.1066,
      0.1402,
      0.0282,
      0.2071,
      0.1647,
      0.1701,
      0.0752,
      0.073,
      0.1034,
      0.1001,
      0.1427,
      0.1296,
      0.2999,
      0.1996,
      0.168,
      0.2022,
      0.3514,
      0.362,
      0.4369,
      0.289,
      0.5152,
      0.4093,
      0.3459,
      0.3213,
      0.4392,
      0.167,
      0.3289,
      0.1147,
      0.0799,
      0.0878,
      0.413,
      0.1707,
      0.5112,
      0.4457,
      0.4609,
      0.4132,
      0.3262,
      0.1642,
      0.2947,
      0.2222,
      0.4498,
      0.1981,
      0.4901,
      0.4834,
      0.4478,
      0.4737,
      0.4563,
      0.4937,
      0.4576,
      0.3286,
      0.1407,
      0.305,
      0.2731,
      0.3402,
      0.3297,
      0.3234,
      0.428,
      0.5095,
      0.4707,
      0.3095,
      0.3948,
      0.4585,
      0.3264,
      0.2151,
      0.2195,
      0.5503,
      0.328,
      0.3279,
      0.2554,
      0.4696,
      0.4181,
      0.262,
      0.2788,
      0.2439,
      0.4989,
      0.2803,
      0.1849,
      0.2289,
      0.1877,
      0.3265,
      0.3328,
      0.4629,
      0.0594,
      0.5298,
      0.3081,
      0.3437,
      0.1644,
      0.3865,
      0.3255,
      0.4965,
      0.4959,
      0.531,
      0.4523,
      0.46,
      0.3069,
      0.3491,
      0.2711,
      0.3698,
      0.3621,
      0.1315,
      0.476,
      0.3042,
      0.4657,
      0.3267,
      0.3724,
      0.3235,
      0.4895,
      0.502,
      0.4594,
      0.4162,
      0.3388,
      0.424,
      0.1793,
      0.0921,
      0.4905,
      0.4042,
      0.2991,
      0.3305,
      0.5381,
      0.4012,
      0.369,
      0.3414,
      0.3572,
      0.4677,
      0.5043,
      0.5493,
      0.2231,
      0.2534,
      0.322,
      0.1437,
      0.4897,
      0.5745,
      0.4757,
      0.2767,
      0.3337,
      0.2252,
      0.4183,
      0.6177,
      0.4018,
      0.3597,
      0.4054,
      0.4353,
      0.4604,
      0.3101,
      0.4955,
      0.3646,
      0.467,
      0.4075,
      0.1464,
      0.1529,
      0.249,
      0.2671,
      0.5056,
      0.3146,
      0.5342,
      0.4569,
      0.5006,
      0.3227,
      0.3964,
      0.4275,
      0.225,
      0.2663,
      0.1511,
      0.4233,
      0.3469,
      0.2912,
      0.2728,
      0.5207,
      0.5288,
      0.3536,
      0.2858,
      0.6025,
      0.2345,
      0.2485,
      0.1686,
      0.2899,
      0.2042,
      0.3215,
      0.357,
      0.4279,
      0.0973,
      0.5562,
      0.3046,
      0.3811,
      0.2782,
      0.3597,
      0.3341,
      0.4518,
      0.4622,
      0.5114,
      0.3667,
      0.41,
      0.265,
      0.4874,
      0.3133,
      0.3681,
      0.3727,
      0.1141,
      0.5955,
      0.2593,
      0.5468,
      0.4011,
      0.37,
      0.3983,
      0.5224,
      0.4641,
      0.4571,
      0.3367,
      0.3352,
      0.0732,
      0.1506,
      0.2376,
      0.2369,
      0.232,
      0.3377,
      0.1876,
      0.1999,
      0.3159,
      0.3496,
      0.4346,
      0.3324,
      0.4443,
      0.27,
      0.5443,
      0.3603,
      0.317,
      0.3389,
      0.1817,
      0.446,
      0.2877,
      0.4973,
      0.3257,
      0.4091,
      0.322,
      0.3651,
      0.3733,
      0.4822,
      0.3994,
      0.4364,
      0.5046,
      0.5142,
      0.3031,
      0.4741,
      0.2893,
      0.3644,
      0.4324,
      0.1485,
      0.6001,
      0.3431,
      0.4878,
      0.3446,
      0.3739,
      0.4073,
      0.4975,
      0.4701,
      0.4929,
      0.3848,
      0.407,
      0.2506,
      0.4091,
      0.2825,
      0.278,
      0.31,
      0.4326,
      0.3695,
      0.5257,
      0.3309,
      0.4489,
      0.2722,
      0.3339,
      0.1221,
      0.443,
      0.5091,
      0.335,
      0.0983,
      0.0532,
      0.056,
      0.0848,
      0.1174,
      0.129,
      0.2279,
      0.3243,
      0.2063,
      0.1497,
      0.1331,
      0.3789,
      0.1497,
      0.41,
      0.0627,
      0.448,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1774,
      0.102,
      0.1025,
      0.0233,
      0.1018,
      0.0218,
      0,
      0.0091,
      0.1471,
      0.1134,
      0.1099,
      0.0492,
      0.0336,
      0.0415,
      0.0979,
      0.0286,
      0.2821,
      0.1663,
      0.1396,
      0.2057,
      0.3347,
      0.3913,
      0.341,
      0.4585,
      0.533,
      0.3774,
      0.2958,
      0.224,
      0.421,
      0.1887,
      0.243,
      0.1375,
      0.1539,
      0.1685,
      0.4325,
      0.2167,
      0.4708,
      0.4364,
      0.4781,
      0.4067,
      0.1544,
      0.0326,
      0.3468,
      0.1797,
      0.4192,
      0.1727,
      0.4987,
      0.392,
      0.4423,
      0.4127,
      0.441,
      0.5155,
      0.4702,
      0.2778,
      0.1002,
      0.2901,
      0.2227,
      0.1872,
      0.318,
      0.3162,
      0.4495,
      0.3554,
      0.4623,
      0.3062,
      0.3045,
      0.4533,
      0.2989,
      0.1705,
      0.2459,
      0.5443,
      0.1443,
      0.1922,
      0.2229,
      0.3777,
      0.4062,
      0.3066,
      0.1816,
      0.2691,
      0.5968,
      0.3925,
      0.0992,
      0.181,
      0.2646,
      0.3477,
      0.2382,
      0.4041,
      0.178,
      0.2678,
      0.2279,
      0.3213,
      0.1522,
      0.3757,
      0.3108,
      0.407,
      0.5157,
      0.4152,
      0.4256,
      0.4722,
      0.3051,
      0.4521,
      0.3331,
      0.3604,
      0.3366,
      0.1364,
      0.5281,
      0.2835,
      0.4529,
      0.3685,
      0.3204,
      0.3661,
      0.4718,
      0.4888,
      0.3673,
      0.3275,
      0.3391,
      0.382,
      0.1661,
      0.1822,
      0.4577,
      0.4077,
      0.2784,
      0.2386,
      0.4725,
      0.3848,
      0.367,
      0.4831,
      0.4326,
      0.4273,
      0.5334,
      0.6541,
      0.1839,
      0.2653,
      0.3611,
      0.1031,
      0.4009,
      0.5764,
      0.471,
      0.2853,
      0.1804,
      0.1791,
      0.4195,
      0.4641,
      0.4344,
      0.3026,
      0.4282,
      0.3811,
      0.4151,
      0.2382,
      0.5056,
      0.3523,
      0.3942,
      0.3889,
      0.1268,
      0.1594,
      0.2377,
      0.3537,
      0.5056,
      0.3306,
      0.588,
      0.3864,
      0.4436,
      0.3526,
      0.2705,
      0.3977,
      0.2066,
      0.1656,
      0.2365,
      0.412,
      0.3052,
      0.3164,
      0.2053,
      0.4959,
      0.5335,
      0.3697,
      0.4003,
      0.5579,
      0.264,
      0.1558,
      0.1539,
      0.2687,
      0.2112,
      0.3731,
      0.2515,
      0.3682,
      0.215,
      0.4205,
      0.3209,
      0.3901,
      0.2028,
      0.3581,
      0.3389,
      0.3922,
      0.4378,
      0.48,
      0.3606,
      0.3889,
      0.3378,
      0.4343,
      0.3835,
      0.3919,
      0.3149,
      0.1212,
      0.588,
      0.2798,
      0.5192,
      0.3078,
      0.3149,
      0.3605,
      0.4253,
      0.4574,
      0.467,
      0.3399,
      0.3606,
      0.0318,
      0,
      0.3709,
      0.2571,
      0.2966,
      0.3596,
      0.1724,
      0.1975,
      0.3111,
      0.2543,
      0.4081,
      0.2534,
      0.3544,
      0.2233,
      0.6133,
      0.2593,
      0.2706,
      0.3609,
      0.2305,
      0.3776,
      0.2575,
      0.4882,
      0.3763,
      0.2776,
      0.2454,
      0.3403,
      0.3111,
      0.4317,
      0.3901,
      0.4838,
      0.4413,
      0.4675,
      0.265,
      0.494,
      0.3501,
      0.3275,
      0.416,
      0.1612,
      0.5582,
      0.2778,
      0.5056,
      0.3095,
      0.3603,
      0.4567,
      0.4538,
      0.5026,
      0.4619,
      0.3053,
      0.4248,
      0.1551,
      0.4152,
      0.3678,
      0.2929,
      0.263,
      0.2588,
      0.3405,
      0.5027,
      0.3604,
      0.5535,
      0.3023,
      0.3092,
      0.178,
      0.3031,
      0.5146,
      0.2681,
      0.1252,
      0.1363,
      0.016,
      0.1468,
      0.1632,
      0.1746,
      0.3129,
      0.1767,
      0.1696,
      0.1349,
      0.176,
      0.2974,
      0.1965,
      0.3907,
      0.0877,
      0.3434,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1763,
      0.0999,
      0.1225,
      0.0734,
      0.0439,
      0.0309,
      0.0413,
      0.0415,
      0.1768,
      0.0545,
      0.0951,
      0.0677,
      0,
      0.0004,
      0.0482,
      0.048,
      0.2831,
      0.1266,
      0.1319,
      0.2695,
      0.334,
      0.3852,
      0.3821,
      0.4418,
      0.5605,
      0.4311,
      0.3794,
      0.291,
      0.4137,
      0.1314,
      0.327,
      0.0884,
      0.1035,
      0.2077,
      0.4263,
      0.2837,
      0.4863,
      0.426,
      0.3618,
      0.433,
      0.2366,
      0.1201,
      0.3872,
      0.1738,
      0.3736,
      0.2006,
      0.4047,
      0.3873,
      0.4316,
      0.3635,
      0.4702,
      0.4838,
      0.4398,
      0.2657,
      0.1614,
      0.316,
      0.1931,
      0.2557,
      0.4086,
      0.3284,
      0.5079,
      0.4692,
      0.4586,
      0.3156,
      0.3625,
      0.4218,
      0.3096,
      0.1655,
      0.26,
      0.5249,
      0.2447,
      0.2691,
      0.2497,
      0.5102,
      0.4249,
      0.3709,
      0.3002,
      0.2,
      0.6062,
      0.3472,
      0.1243,
      0.1721,
      0.2645,
      0.3274,
      0.3071,
      0.4183,
      0.2384,
      0.3798,
      0.3318,
      0.2666,
      0.2725,
      0.3118,
      0.3387,
      0.4486,
      0.5422,
      0.4913,
      0.3672,
      0.4692,
      0.2887,
      0.4874,
      0.3713,
      0.3642,
      0.396,
      0.1699,
      0.5204,
      0.3183,
      0.4895,
      0.4013,
      0.3468,
      0.3907,
      0.3518,
      0.4655,
      0.348,
      0.367,
      0.3647,
      0.3509,
      0.0807,
      0.1748,
      0.423,
      0.3272,
      0.2361,
      0.2003,
      0.5141,
      0.4487,
      0.3978,
      0.3467,
      0.4709,
      0.4465,
      0.394,
      0.618,
      0.1741,
      0.264,
      0.3338,
      0.1248,
      0.3839,
      0.6395,
      0.4202,
      0.2117,
      0.1992,
      0.2829,
      0.4301,
      0.3609,
      0.4034,
      0.3084,
      0.314,
      0.4219,
      0.4714,
      0.2989,
      0.4813,
      0.3749,
      0.4696,
      0.3871,
      0.2213,
      0.1446,
      0.2791,
      0.3627,
      0.3813,
      0.3005,
      0.6342,
      0.4059,
      0.4493,
      0.3636,
      0.3444,
      0.3727,
      0.3157,
      0.159,
      0.1666,
      0.422,
      0.2809,
      0.2558,
      0.255,
      0.5497,
      0.5012,
      0.4056,
      0.5663,
      0.5928,
      0.321,
      0.1528,
      0.1111,
      0.2837,
      0.1929,
      0.3767,
      0.2327,
      0.4045,
      0.1997,
      0.4072,
      0.2588,
      0.3585,
      0.2039,
      0.2841,
      0.3513,
      0.3949,
      0.4507,
      0.4541,
      0.3197,
      0.4374,
      0.2999,
      0.5002,
      0.4111,
      0.3646,
      0.3335,
      0.2081,
      0.5155,
      0.2924,
      0.5109,
      0.3922,
      0.3015,
      0.3447,
      0.4068,
      0.4861,
      0.361,
      0.3447,
      0.361,
      0.0984,
      0,
      0.3497,
      0.2813,
      0.2287,
      0.3254,
      0.2717,
      0.1965,
      0.3719,
      0.2567,
      0.4201,
      0.2941,
      0.3743,
      0.1922,
      0.6153,
      0.3157,
      0.2745,
      0.3619,
      0.2944,
      0.3581,
      0.3413,
      0.4105,
      0.4203,
      0.3114,
      0.2709,
      0.3097,
      0.3361,
      0.3902,
      0.3735,
      0.4887,
      0.4576,
      0.4917,
      0.2326,
      0.5121,
      0.388,
      0.3488,
      0.415,
      0.1841,
      0.4658,
      0.2978,
      0.4742,
      0.2967,
      0.367,
      0.4499,
      0.4326,
      0.4493,
      0.426,
      0.1908,
      0.3834,
      0.2206,
      0.3915,
      0.3713,
      0.2874,
      0.3131,
      0.3371,
      0.2728,
      0.5086,
      0.4204,
      0.5204,
      0.3602,
      0.3812,
      0.1174,
      0.2507,
      0.5241,
      0.2332,
      0.1616,
      0.1501,
      0.1432,
      0.135,
      0.1686,
      0.2362,
      0.3055,
      0.1576,
      0.1292,
      0.0536,
      0.2145,
      0.2504,
      0.1621,
      0.4034,
      0.0522,
      0.3978,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2275,
      0.2192,
      0.1583,
      0.1966,
      0.2133,
      0.1906,
      0.1647,
      0.0178,
      0.0962,
      0.0887,
      0.1119,
      0.1192,
      0.0215,
      0.0434,
      0.0384,
      0.0801,
      0.2879,
      0.3763,
      0.2738,
      0.3513,
      0.3359,
      0.3619,
      0.349,
      0.3527,
      0.4704,
      0.4062,
      0.3277,
      0.2687,
      0.4195,
      0.3097,
      0.2578,
      0.2127,
      0.1283,
      0.3291,
      0.4162,
      0.2483,
      0.5095,
      0.3948,
      0.4392,
      0.4252,
      0.2888,
      0.1946,
      0.3979,
      0.3044,
      0.391,
      0.2312,
      0.4374,
      0.386,
      0.4458,
      0.3857,
      0.4392,
      0.4553,
      0.4864,
      0.3503,
      0.3294,
      0.3588,
      0.2801,
      0.2771,
      0.3871,
      0.3426,
      0.4224,
      0.4885,
      0.4657,
      0.3597,
      0.3661,
      0.4207,
      0.3826,
      0.2926,
      0.324,
      0.4949,
      0.3435,
      0.2956,
      0.2264,
      0.4835,
      0.4273,
      0.3262,
      0.2399,
      0.4029,
      0.5732,
      0.2776,
      0.251,
      0.2062,
      0.3787,
      0.2741,
      0.3758,
      0.4426,
      0.2997,
      0.4332,
      0.3951,
      0.3135,
      0.1734,
      0.2979,
      0.2762,
      0.416,
      0.5212,
      0.4922,
      0.3571,
      0.4151,
      0.3443,
      0.4776,
      0.3487,
      0.3585,
      0.4028,
      0.2985,
      0.614,
      0.3056,
      0.403,
      0.3565,
      0.3391,
      0.3332,
      0.4826,
      0.4152,
      0.3693,
      0.3784,
      0.375,
      0.4493,
      0.2286,
      0.3458,
      0.3954,
      0.3685,
      0.266,
      0.2328,
      0.4409,
      0.2923,
      0.4379,
      0.3377,
      0.426,
      0.4353,
      0.4189,
      0.595,
      0.1164,
      0.3553,
      0.3665,
      0.1672,
      0.4404,
      0.6271,
      0.441,
      0.3787,
      0.2532,
      0.2827,
      0.4461,
      0.3294,
      0.3205,
      0.348,
      0.4113,
      0.3487,
      0.5165,
      0.2776,
      0.5099,
      0.4057,
      0.4638,
      0.3613,
      0.3556,
      0.2633,
      0.2661,
      0.2894,
      0.4405,
      0.325,
      0.6774,
      0.39,
      0.4342,
      0.3779,
      0.3961,
      0.3576,
      0.3652,
      0.2252,
      0.3418,
      0.4271,
      0.3808,
      0.3127,
      0.2166,
      0.5041,
      0.4379,
      0.3631,
      0.5632,
      0.5128,
      0.3199,
      0.1555,
      0.1984,
      0.3008,
      0.3329,
      0.3724,
      0.4118,
      0.415,
      0.285,
      0.4384,
      0.383,
      0.3878,
      0.233,
      0.2901,
      0.3157,
      0.3368,
      0.449,
      0.367,
      0.3731,
      0.4365,
      0.3231,
      0.4817,
      0.417,
      0.4246,
      0.4035,
      0.3727,
      0.6562,
      0.3611,
      0.4262,
      0.43,
      0.3666,
      0.3732,
      0.4473,
      0.4616,
      0.4675,
      0.404,
      0.4119,
      0.0697,
      0.1777,
      0.3287,
      0.2179,
      0.3006,
      0.3558,
      0.2439,
      0.1061,
      0.3017,
      0.2172,
      0.4958,
      0.2915,
      0.3744,
      0.2154,
      0.6206,
      0.3629,
      0.3221,
      0.4173,
      0.3444,
      0.434,
      0.3185,
      0.4583,
      0.3847,
      0.3508,
      0.2411,
      0.3205,
      0.3592,
      0.3081,
      0.3388,
      0.438,
      0.5097,
      0.4596,
      0.3287,
      0.5426,
      0.313,
      0.3627,
      0.3961,
      0.388,
      0.6396,
      0.3194,
      0.4209,
      0.3014,
      0.3287,
      0.4405,
      0.4602,
      0.4502,
      0.491,
      0.2917,
      0.4127,
      0.4044,
      0.3305,
      0.3162,
      0.3504,
      0.3715,
      0.3179,
      0.447,
      0.4653,
      0.3271,
      0.5142,
      0.3156,
      0.3528,
      0.3118,
      0.2021,
      0.3989,
      0.2987,
      0.3308,
      0.3659,
      0.4195,
      0.1879,
      0.3872,
      0.2841,
      0.3847,
      0.1185,
      0.2367,
      0.275,
      0.2772,
      0.2612,
      0.2837,
      0.3502,
      0.212,
      0.4323,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1633,
      0.1328,
      0.0977,
      0.1121,
      0.1165,
      0,
      0.0113,
      0.0377,
      0.0915,
      0,
      0.0073,
      0,
      0,
      0.0032,
      0.0694,
      0.1131,
      0.3825,
      0.34,
      0.272,
      0.2771,
      0.2983,
      0.3386,
      0.2778,
      0.3085,
      0.4627,
      0.3393,
      0.3307,
      0.2985,
      0.431,
      0.1854,
      0.2568,
      0.1266,
      0.1565,
      0.3281,
      0.3135,
      0.1365,
      0.4969,
      0.4495,
      0.4351,
      0.442,
      0.1728,
      0.2272,
      0.2708,
      0.2492,
      0.349,
      0.2166,
      0.4726,
      0.4273,
      0.4546,
      0.3921,
      0.4828,
      0.5027,
      0.4663,
      0.2886,
      0.2191,
      0.3292,
      0.1977,
      0.2259,
      0.3996,
      0.3657,
      0.504,
      0.5314,
      0.4929,
      0.3717,
      0.3443,
      0.3709,
      0.317,
      0.3239,
      0.2704,
      0.4713,
      0.2682,
      0.2904,
      0.2403,
      0.4023,
      0.3757,
      0.3315,
      0.297,
      0.3037,
      0.5872,
      0.2876,
      0.2565,
      0.2451,
      0.3031,
      0.3845,
      0.2883,
      0.4418,
      0.1046,
      0.4476,
      0.3784,
      0.2666,
      0.2396,
      0.2914,
      0.2976,
      0.3944,
      0.454,
      0.4933,
      0.2981,
      0.4617,
      0.3374,
      0.5086,
      0.2374,
      0.3346,
      0.3527,
      0.2116,
      0.606,
      0.2527,
      0.4753,
      0.3633,
      0.3013,
      0.4452,
      0.4918,
      0.4928,
      0.4032,
      0.3479,
      0.2711,
      0.3399,
      0.1833,
      0.1569,
      0.3947,
      0.3925,
      0.2763,
      0.2065,
      0.4798,
      0.4064,
      0.377,
      0.4708,
      0.4559,
      0.4088,
      0.4152,
      0.6632,
      0.1663,
      0.2578,
      0.392,
      0.1529,
      0.4591,
      0.6856,
      0.4746,
      0.2939,
      0.2613,
      0.2959,
      0.4123,
      0.3376,
      0.3968,
      0.2782,
      0.4018,
      0.3893,
      0.5337,
      0.3068,
      0.5421,
      0.3903,
      0.4602,
      0.3907,
      0.2374,
      0.1827,
      0.2041,
      0.3015,
      0.3739,
      0.2802,
      0.6209,
      0.4203,
      0.477,
      0.439,
      0.2736,
      0.4128,
      0.2413,
      0.2178,
      0.2762,
      0.4363,
      0.33,
      0.3261,
      0.2495,
      0.5162,
      0.5537,
      0.2965,
      0.2971,
      0.6227,
      0.248,
      0.1905,
      0.1982,
      0.1994,
      0.2648,
      0.3724,
      0.2527,
      0.3598,
      0.1937,
      0.4588,
      0.3931,
      0.3942,
      0.2501,
      0.2928,
      0.2684,
      0.3859,
      0.4493,
      0.3579,
      0.3577,
      0.4709,
      0.3302,
      0.5252,
      0.3718,
      0.3887,
      0.3503,
      0.175,
      0.565,
      0.2431,
      0.5103,
      0.3854,
      0.3491,
      0.4294,
      0.4412,
      0.4111,
      0.4503,
      0.2781,
      0.262,
      0.0564,
      0.063,
      0.3462,
      0.1962,
      0.2749,
      0.2466,
      0.241,
      0.1447,
      0.2945,
      0.2557,
      0.4758,
      0.2091,
      0.3854,
      0.216,
      0.5797,
      0.375,
      0.3621,
      0.3612,
      0.24,
      0.3464,
      0.4343,
      0.4699,
      0.3032,
      0.361,
      0.202,
      0.2678,
      0.2828,
      0.3901,
      0.3887,
      0.4972,
      0.5493,
      0.521,
      0.2411,
      0.488,
      0.234,
      0.387,
      0.4187,
      0.2344,
      0.6171,
      0.333,
      0.485,
      0.2805,
      0.2863,
      0.4105,
      0.4102,
      0.4722,
      0.43,
      0.3107,
      0.4209,
      0.3239,
      0.306,
      0.3025,
      0.3006,
      0.2931,
      0.3077,
      0.4554,
      0.4452,
      0.3797,
      0.545,
      0.2489,
      0.3283,
      0.1251,
      0.26,
      0.3438,
      0.2994,
      0.1922,
      0.1583,
      0.1738,
      0.0798,
      0.1575,
      0.1904,
      0.2303,
      0.0875,
      0.1937,
      0.102,
      0.2006,
      0.3551,
      0.2249,
      0.3662,
      0.1524,
      0.4149,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2076,
      0.128,
      0.1166,
      0.0733,
      0.126,
      0.0275,
      0.0619,
      0.0403,
      0.1084,
      0.06,
      0.0264,
      0.0523,
      0,
      0.0341,
      0.0171,
      0.1864,
      0.2819,
      0.3687,
      0.1537,
      0.1632,
      0.3229,
      0.4109,
      0.3908,
      0.3085,
      0.4965,
      0.4457,
      0.3819,
      0.3474,
      0.3985,
      0.1467,
      0.2496,
      0.0743,
      0.1019,
      0.2129,
      0.3787,
      0.1893,
      0.4893,
      0.3651,
      0.4112,
      0.4459,
      0.1971,
      0.1974,
      0.303,
      0.2193,
      0.4073,
      0.2325,
      0.5465,
      0.4346,
      0.5309,
      0.3956,
      0.453,
      0.4456,
      0.4075,
      0.3047,
      0.1177,
      0.3314,
      0.2307,
      0.2864,
      0.2903,
      0.2858,
      0.4141,
      0.5078,
      0.4133,
      0.3157,
      0.3752,
      0.2516,
      0.3685,
      0.2575,
      0.2429,
      0.4949,
      0.2884,
      0.3392,
      0.341,
      0.4925,
      0.4699,
      0.4198,
      0.386,
      0.2334,
      0.5492,
      0.2228,
      0.125,
      0.1792,
      0.2505,
      0.3747,
      0.3064,
      0.4302,
      0.1748,
      0.4309,
      0.2983,
      0.2215,
      0.1648,
      0.3593,
      0.3252,
      0.4128,
      0.3453,
      0.5439,
      0.4547,
      0.4817,
      0.3306,
      0.3591,
      0.2407,
      0.313,
      0.3733,
      0.1399,
      0.564,
      0.2735,
      0.4365,
      0.3327,
      0.3203,
      0.4041,
      0.4515,
      0.443,
      0.4189,
      0.3484,
      0.2569,
      0.3959,
      0.1439,
      0.114,
      0.4744,
      0.3963,
      0.3554,
      0.3051,
      0.5183,
      0.4392,
      0.3383,
      0.57,
      0.4816,
      0.3512,
      0.4443,
      0.6097,
      0.1263,
      0.3631,
      0.2664,
      0.1575,
      0.3997,
      0.5895,
      0.4589,
      0.3227,
      0.1607,
      0.2321,
      0.347,
      0.4016,
      0.4294,
      0.234,
      0.4702,
      0.4366,
      0.4966,
      0.3575,
      0.4396,
      0.3618,
      0.4902,
      0.4233,
      0.161,
      0.2286,
      0.2124,
      0.2854,
      0.3583,
      0.3117,
      0.5711,
      0.462,
      0.4076,
      0.3972,
      0.3162,
      0.373,
      0.2103,
      0.1027,
      0.1669,
      0.4597,
      0.3683,
      0.3847,
      0.2972,
      0.5898,
      0.549,
      0.3765,
      0.3502,
      0.5061,
      0.2668,
      0.1238,
      0.155,
      0.311,
      0.1734,
      0.3326,
      0.2218,
      0.3913,
      0.1097,
      0.4409,
      0.248,
      0.3996,
      0.3058,
      0.3833,
      0.3376,
      0.3964,
      0.4329,
      0.4289,
      0.3985,
      0.4916,
      0.3282,
      0.416,
      0.3662,
      0.3736,
      0.3388,
      0.1809,
      0.5024,
      0.282,
      0.4204,
      0.2986,
      0.3535,
      0.3768,
      0.4093,
      0.3985,
      0.4442,
      0.3347,
      0.3348,
      0.1101,
      0.0479,
      0.3291,
      0.2603,
      0.2473,
      0.2725,
      0.2749,
      0.1703,
      0.2348,
      0.2889,
      0.4331,
      0.289,
      0.4042,
      0.1928,
      0.6516,
      0.2696,
      0.2912,
      0.411,
      0.2051,
      0.4264,
      0.3886,
      0.4353,
      0.3405,
      0.3131,
      0.199,
      0.2728,
      0.3178,
      0.4296,
      0.4149,
      0.5536,
      0.4514,
      0.4721,
      0.3079,
      0.3979,
      0.2611,
      0.3801,
      0.3658,
      0.1916,
      0.5068,
      0.3149,
      0.3775,
      0.2863,
      0.3546,
      0.3663,
      0.4578,
      0.4566,
      0.4169,
      0.3222,
      0.4078,
      0.2261,
      0.3418,
      0.2654,
      0.3321,
      0.2818,
      0.3102,
      0.4419,
      0.4854,
      0.4387,
      0.5255,
      0.3071,
      0.3926,
      0.097,
      0.3161,
      0.4644,
      0.2812,
      0.1224,
      0.0823,
      0.1219,
      0.0131,
      0.0366,
      0.118,
      0.206,
      0.0689,
      0.0922,
      0.2075,
      0.0631,
      0.4025,
      0.1559,
      0.4503,
      0.1459,
      0.4596,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1866,
      0.1164,
      0.1455,
      0.0755,
      0.1195,
      0,
      0,
      0.1308,
      0.071,
      0.0904,
      0.0853,
      0.1239,
      0.0296,
      0.037,
      0.1316,
      0.1559,
      0.3647,
      0.1978,
      0.1611,
      0.2526,
      0.329,
      0.3605,
      0.3267,
      0.2581,
      0.4759,
      0.3816,
      0.3566,
      0.3429,
      0.3677,
      0.1933,
      0.2118,
      0.1977,
      0.1535,
      0.1916,
      0.362,
      0.1771,
      0.5201,
      0.3937,
      0.4641,
      0.3612,
      0.2228,
      0.2318,
      0.3201,
      0.3185,
      0.3569,
      0.2371,
      0.4084,
      0.4266,
      0.48,
      0.4188,
      0.4263,
      0.5051,
      0.4053,
      0.3041,
      0.127,
      0.3396,
      0.1962,
      0.2747,
      0.278,
      0.3537,
      0.3872,
      0.5934,
      0.4254,
      0.3578,
      0.3804,
      0.4162,
      0.3231,
      0.2154,
      0.2591,
      0.4778,
      0.341,
      0.3119,
      0.2873,
      0.3865,
      0.446,
      0.4318,
      0.3276,
      0.2811,
      0.4909,
      0.3144,
      0.1304,
      0.2574,
      0.1762,
      0.3353,
      0.3331,
      0.4551,
      0.2027,
      0.4318,
      0.3288,
      0.32,
      0.1886,
      0.3558,
      0.2808,
      0.2617,
      0.4061,
      0.4551,
      0.455,
      0.3751,
      0.3548,
      0.4314,
      0.3281,
      0.3358,
      0.3659,
      0.1151,
      0.5717,
      0.3067,
      0.469,
      0.2545,
      0.3578,
      0.3917,
      0.5314,
      0.4099,
      0.4534,
      0.3674,
      0.2477,
      0.3096,
      0.1788,
      0.1938,
      0.3892,
      0.3814,
      0.3834,
      0.2604,
      0.4705,
      0.3828,
      0.3967,
      0.3146,
      0.434,
      0.3861,
      0.4228,
      0.5701,
      0.2029,
      0.3623,
      0.2732,
      0.0765,
      0.4479,
      0.567,
      0.5052,
      0.3664,
      0.2513,
      0.2609,
      0.3703,
      0.4636,
      0.4051,
      0.3394,
      0.445,
      0.4463,
      0.4701,
      0.339,
      0.469,
      0.3802,
      0.4281,
      0.4102,
      0.1718,
      0.1462,
      0.2291,
      0.3303,
      0.351,
      0.2834,
      0.6164,
      0.4801,
      0.3866,
      0.4091,
      0.3254,
      0.3891,
      0.1479,
      0.3006,
      0.1473,
      0.4615,
      0.3909,
      0.3792,
      0.269,
      0.5521,
      0.5914,
      0.3881,
      0.394,
      0.5279,
      0.2986,
      0.1481,
      0.146,
      0.3999,
      0.2517,
      0.3046,
      0.3162,
      0.418,
      0.1768,
      0.5039,
      0.3617,
      0.392,
      0.2771,
      0.3856,
      0.315,
      0.2568,
      0.4364,
      0.4789,
      0.3689,
      0.3852,
      0.3748,
      0.4662,
      0.3865,
      0.3825,
      0.2819,
      0.0703,
      0.5236,
      0.324,
      0.4814,
      0.3,
      0.3372,
      0.369,
      0.426,
      0.4643,
      0.4903,
      0.3484,
      0.3471,
      0.0672,
      0.0014,
      0.3173,
      0.2553,
      0.2637,
      0.3015,
      0.2525,
      0.1887,
      0.3297,
      0.2539,
      0.4502,
      0.3018,
      0.4048,
      0.2443,
      0.6021,
      0.2975,
      0.259,
      0.3482,
      0.1689,
      0.4456,
      0.3539,
      0.4867,
      0.2872,
      0.3143,
      0.3192,
      0.2796,
      0.4208,
      0.377,
      0.3916,
      0.4714,
      0.5013,
      0.4316,
      0.3166,
      0.355,
      0.3007,
      0.3255,
      0.3634,
      0.1509,
      0.533,
      0.2602,
      0.4603,
      0.2674,
      0.3249,
      0.4323,
      0.4589,
      0.4487,
      0.4868,
      0.2666,
      0.3793,
      0.287,
      0.3077,
      0.2653,
      0.2376,
      0.2588,
      0.3517,
      0.4031,
      0.4292,
      0.4329,
      0.5531,
      0.2707,
      0.4061,
      0.2237,
      0.3155,
      0.4888,
      0.3531,
      0.0884,
      0.0745,
      0.0369,
      0.0237,
      0.0909,
      0.179,
      0.2044,
      0.1147,
      0.1268,
      0.1022,
      0.0768,
      0.1792,
      0.2343,
      0.4236,
      0.1062,
      0.3929,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1624,
      0.1023,
      0.1437,
      0.0506,
      0.0455,
      0,
      0.0023,
      0.1752,
      0.1352,
      0,
      0.0202,
      0.0078,
      0,
      0,
      0.0865,
      0.0978,
      0.3436,
      0.2305,
      0.0924,
      0.2148,
      0.2537,
      0.4089,
      0.2126,
      0.2146,
      0.4536,
      0.3985,
      0.2861,
      0.3002,
      0.3842,
      0.1576,
      0.1873,
      0.0681,
      0.0798,
      0.1468,
      0.3321,
      0.1568,
      0.3893,
      0.3317,
      0.4856,
      0.3616,
      0.2228,
      0.1375,
      0.2441,
      0.2015,
      0.3224,
      0.1861,
      0.4727,
      0.4607,
      0.4975,
      0.416,
      0.527,
      0.5218,
      0.4069,
      0.2523,
      0.1202,
      0.3775,
      0.2072,
      0.2461,
      0.3739,
      0.3113,
      0.4359,
      0.4931,
      0.4559,
      0.2673,
      0.3078,
      0.3944,
      0.3048,
      0.1114,
      0.2633,
      0.4812,
      0.2331,
      0.2242,
      0.2376,
      0.408,
      0.4387,
      0.4405,
      0.2855,
      0.2218,
      0.4115,
      0.3015,
      0.0977,
      0.0949,
      0.225,
      0.299,
      0.2484,
      0.3904,
      0.1749,
      0.2839,
      0.2323,
      0.2838,
      0.2157,
      0.2585,
      0.3488,
      0.3517,
      0.4322,
      0.4271,
      0.4278,
      0.4793,
      0.2947,
      0.5055,
      0.2573,
      0.2999,
      0.3618,
      0.0685,
      0.5489,
      0.1876,
      0.4339,
      0.3751,
      0.2275,
      0.4671,
      0.4309,
      0.487,
      0.3332,
      0.3804,
      0.3054,
      0.3295,
      0.187,
      0.2191,
      0.3846,
      0.2848,
      0.1672,
      0.191,
      0.4283,
      0.3663,
      0.3546,
      0.3499,
      0.3406,
      0.3936,
      0.5162,
      0.5651,
      0.1351,
      0.214,
      0.2899,
      0.1578,
      0.3801,
      0.4572,
      0.4637,
      0.3364,
      0.176,
      0.0764,
      0.4282,
      0.582,
      0.4089,
      0.2481,
      0.454,
      0.3931,
      0.4752,
      0.2916,
      0.5038,
      0.3887,
      0.4113,
      0.3429,
      0.1986,
      0.1104,
      0.2533,
      0.2778,
      0.4406,
      0.2771,
      0.6723,
      0.4452,
      0.4444,
      0.2819,
      0.349,
      0.4192,
      0.1306,
      0.2388,
      0.1873,
      0.4602,
      0.3447,
      0.2699,
      0.2186,
      0.4545,
      0.574,
      0.3783,
      0.347,
      0.5792,
      0.2252,
      0.0758,
      0.136,
      0.3953,
      0.2312,
      0.2987,
      0.273,
      0.3491,
      0.1975,
      0.3849,
      0.2394,
      0.361,
      0.205,
      0.2801,
      0.3356,
      0.3229,
      0.4889,
      0.4942,
      0.36,
      0.471,
      0.3106,
      0.4596,
      0.3046,
      0.4186,
      0.309,
      0.1322,
      0.5343,
      0.1856,
      0.452,
      0.3879,
      0.3136,
      0.3934,
      0.3881,
      0.4798,
      0.3976,
      0.2842,
      0.3151,
      0.1327,
      0.0066,
      0.3091,
      0.2991,
      0.1995,
      0.3367,
      0.1891,
      0.258,
      0.2889,
      0.2251,
      0.4071,
      0.2772,
      0.3419,
      0.2277,
      0.5512,
      0.3256,
      0.2499,
      0.3728,
      0.2019,
      0.2898,
      0.3003,
      0.4459,
      0.2969,
      0.273,
      0.2947,
      0.2789,
      0.3291,
      0.3744,
      0.3833,
      0.4406,
      0.3494,
      0.5092,
      0.245,
      0.4652,
      0.2872,
      0.3411,
      0.3665,
      0.1733,
      0.5594,
      0.2264,
      0.4248,
      0.2528,
      0.318,
      0.4818,
      0.3519,
      0.4408,
      0.3844,
      0.2645,
      0.3427,
      0.2418,
      0.3698,
      0.2803,
      0.3212,
      0.185,
      0.1699,
      0.3006,
      0.4002,
      0.3791,
      0.576,
      0.2784,
      0.3673,
      0.1371,
      0.2852,
      0.4471,
      0.2703,
      0.1535,
      0.0296,
      0.1029,
      0,
      0.1208,
      0.038,
      0.1797,
      0.1055,
      0.1541,
      0.0833,
      0.0925,
      0.2339,
      0.277,
      0.4037,
      0.1221,
      0.3261,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1792,
      0.1217,
      0.0824,
      0.0163,
      0.0532,
      0,
      0,
      0,
      0.0589,
      0,
      0.0439,
      0.0455,
      0.0025,
      0,
      0.1559,
      0,
      0.2883,
      0.2338,
      0.1411,
      0.214,
      0.2844,
      0.4452,
      0.2993,
      0.372,
      0.4079,
      0.3917,
      0.313,
      0.2819,
      0.3209,
      0.1451,
      0.2522,
      0.0595,
      0.1184,
      0.1334,
      0.3459,
      0.2305,
      0.3942,
      0.3618,
      0.4263,
      0.3489,
      0.2081,
      0.0799,
      0.2729,
      0.2337,
      0.32,
      0.215,
      0.4088,
      0.3596,
      0.3993,
      0.3334,
      0.4135,
      0.4165,
      0.4346,
      0.2482,
      0.1612,
      0.3053,
      0.2221,
      0.208,
      0.2945,
      0.2616,
      0.4974,
      0.5022,
      0.5528,
      0.2499,
      0.4238,
      0.37,
      0.2716,
      0.1831,
      0.1819,
      0.523,
      0.2832,
      0.177,
      0.2767,
      0.3903,
      0.4294,
      0.4112,
      0.3135,
      0.0805,
      0.4467,
      0.3566,
      0.0847,
      0.183,
      0.2492,
      0.3583,
      0.2499,
      0.323,
      0.1664,
      0.2478,
      0.2455,
      0.3102,
      0.205,
      0.2897,
      0.2995,
      0.3965,
      0.408,
      0.3648,
      0.4282,
      0.388,
      0.2787,
      0.3956,
      0.2829,
      0.2731,
      0.3489,
      0.168,
      0.5697,
      0.1714,
      0.4224,
      0.2027,
      0.2545,
      0.4184,
      0.3721,
      0.5627,
      0.3163,
      0.4525,
      0.3113,
      0.3071,
      0.1724,
      0.2319,
      0.3036,
      0.341,
      0.2918,
      0.1797,
      0.4378,
      0.4329,
      0.344,
      0.5184,
      0.3569,
      0.3852,
      0.4414,
      0.5524,
      0.1153,
      0.2562,
      0.3035,
      0.1076,
      0.4379,
      0.5676,
      0.3113,
      0.2285,
      0.1475,
      0.1111,
      0.4836,
      0.4041,
      0.4207,
      0.2133,
      0.3956,
      0.394,
      0.4454,
      0.3045,
      0.4784,
      0.3407,
      0.4236,
      0.2976,
      0.1985,
      0.099,
      0.1831,
      0.2642,
      0.4668,
      0.2707,
      0.6068,
      0.4078,
      0.5354,
      0.3349,
      0.4063,
      0.3581,
      0.1953,
      0.1758,
      0.1789,
      0.4005,
      0.3256,
      0.3037,
      0.2215,
      0.5447,
      0.458,
      0.3253,
      0.2829,
      0.5632,
      0.214,
      0.152,
      0.2231,
      0.2884,
      0.1823,
      0.3991,
      0.2993,
      0.3352,
      0.1568,
      0.3175,
      0.2199,
      0.2843,
      0.1843,
      0.319,
      0.2724,
      0.3906,
      0.4834,
      0.3699,
      0.3012,
      0.3747,
      0.2732,
      0.4778,
      0.3404,
      0.3685,
      0.3328,
      0.1194,
      0.5421,
      0.1764,
      0.4601,
      0.3093,
      0.3443,
      0.4596,
      0.3712,
      0.5384,
      0.3068,
      0.3913,
      0.3097,
      0.1901,
      0.1888,
      0.3144,
      0.2635,
      0.1578,
      0.167,
      0.1899,
      0.1955,
      0.3117,
      0.2214,
      0.3921,
      0.2882,
      0.3394,
      0.2608,
      0.6237,
      0.2995,
      0.3007,
      0.3802,
      0.2547,
      0.3624,
      0.354,
      0.3718,
      0.3408,
      0.2578,
      0.3559,
      0.3649,
      0.3807,
      0.3652,
      0.3106,
      0.3454,
      0.4744,
      0.4583,
      0.2856,
      0.4113,
      0.2958,
      0.3178,
      0.371,
      0.0998,
      0.5227,
      0.2611,
      0.4366,
      0.303,
      0.3283,
      0.4763,
      0.3625,
      0.5384,
      0.3157,
      0.4126,
      0.3483,
      0.2023,
      0.318,
      0.3204,
      0.33,
      0.2371,
      0.3303,
      0.3578,
      0.3976,
      0.4064,
      0.4514,
      0.2932,
      0.2926,
      0.1192,
      0.3358,
      0.4566,
      0.2669,
      0.1205,
      0.0996,
      0.0876,
      0.0295,
      0.0776,
      0.1283,
      0.1922,
      0.0042,
      0.1272,
      0.0062,
      0.1328,
      0.2696,
      0.1563,
      0.4244,
      0.1305,
      0.4079,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1358,
      0.2206,
      0.0531,
      0,
      0.0346,
      0,
      0.0703,
      0,
      0.0337,
      0,
      0.0912,
      0.0405,
      0,
      0.0474,
      0.1305,
      0.0829,
      0.3149,
      0.2378,
      0.155,
      0.2602,
      0.3319,
      0.4667,
      0.282,
      0.4102,
      0.4437,
      0.4336,
      0.337,
      0.2949,
      0.3205,
      0.2303,
      0.3043,
      0.0288,
      0.1115,
      0.1771,
      0.4106,
      0.3115,
      0.4084,
      0.4161,
      0.3797,
      0.1771,
      0.1926,
      0.1429,
      0.2603,
      0.2136,
      0.3136,
      0.1838,
      0.3993,
      0.3517,
      0.409,
      0.4496,
      0.5003,
      0.4571,
      0.4053,
      0.2396,
      0.1807,
      0.2941,
      0.2176,
      0.1879,
      0.393,
      0.2945,
      0.4709,
      0.5709,
      0.4786,
      0.2533,
      0.4254,
      0.3632,
      0.2829,
      0.2138,
      0.2265,
      0.5221,
      0.237,
      0.1423,
      0.2504,
      0.4304,
      0.4425,
      0.3682,
      0.3714,
      0.1736,
      0.4978,
      0.2701,
      0.1425,
      0.1755,
      0.189,
      0.373,
      0.233,
      0.3552,
      0.2081,
      0.3366,
      0.2836,
      0.3023,
      0.1998,
      0.253,
      0.2125,
      0.3782,
      0.4332,
      0.4004,
      0.3792,
      0.4353,
      0.241,
      0.5234,
      0.3298,
      0.3103,
      0.3666,
      0.1702,
      0.5539,
      0.2107,
      0.3518,
      0.4064,
      0.3439,
      0.4611,
      0.4183,
      0.4768,
      0.387,
      0.4366,
      0.3464,
      0.3217,
      0.2128,
      0.2072,
      0.3458,
      0.2976,
      0.242,
      0.2364,
      0.4142,
      0.3942,
      0.3486,
      0.4183,
      0.4483,
      0.3504,
      0.4452,
      0.5211,
      0.0824,
      0.161,
      0.3006,
      0.0912,
      0.3858,
      0.4737,
      0.3811,
      0.2633,
      0.2085,
      0.2216,
      0.4779,
      0.2821,
      0.3736,
      0.2728,
      0.4195,
      0.4159,
      0.4856,
      0.3202,
      0.5073,
      0.3593,
      0.4504,
      0.263,
      0.0596,
      0.0925,
      0.2474,
      0.2363,
      0.39,
      0.2416,
      0.6272,
      0.3568,
      0.4755,
      0.3575,
      0.3986,
      0.381,
      0.2537,
      0.2246,
      0.2183,
      0.4264,
      0.3096,
      0.1804,
      0.2531,
      0.4713,
      0.4501,
      0.3988,
      0.4849,
      0.4663,
      0.2157,
      0.0963,
      0.1815,
      0.3217,
      0.2145,
      0.3859,
      0.2844,
      0.3079,
      0.1698,
      0.4272,
      0.2209,
      0.348,
      0.1807,
      0.3196,
      0.2455,
      0.3998,
      0.4935,
      0.3821,
      0.3044,
      0.4444,
      0.3044,
      0.5165,
      0.3525,
      0.3964,
      0.3546,
      0.1852,
      0.5172,
      0.2343,
      0.294,
      0.3993,
      0.2952,
      0.4357,
      0.336,
      0.4867,
      0.3907,
      0.3539,
      0.3129,
      0.1859,
      0.2215,
      0.32,
      0.2683,
      0.1742,
      0.2202,
      0.1805,
      0.2186,
      0.2801,
      0.2815,
      0.3417,
      0.2842,
      0.4116,
      0.2364,
      0.5799,
      0.3624,
      0.2431,
      0.3587,
      0.2122,
      0.3163,
      0.3246,
      0.4288,
      0.3825,
      0.2952,
      0.2863,
      0.2725,
      0.369,
      0.3349,
      0.3699,
      0.4567,
      0.4683,
      0.4846,
      0.2702,
      0.514,
      0.288,
      0.3216,
      0.3757,
      0.1333,
      0.5241,
      0.241,
      0.371,
      0.306,
      0.2895,
      0.4315,
      0.3997,
      0.515,
      0.4236,
      0.4166,
      0.3723,
      0.1975,
      0.3689,
      0.2202,
      0.3481,
      0.2802,
      0.3198,
      0.3721,
      0.379,
      0.4012,
      0.5097,
      0.1853,
      0.289,
      0.1303,
      0.2467,
      0.4317,
      0.2861,
      0.147,
      0.0749,
      0.0991,
      0.0312,
      0.1088,
      0.1982,
      0.2174,
      0.0016,
      0.121,
      0.0708,
      0.1045,
      0.3537,
      0.116,
      0.3459,
      0.2258,
      0.4337,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1337,
      0.1469,
      0.1409,
      0.1334,
      0.1251,
      0.0955,
      0.1003,
      0,
      0.0531,
      0.0186,
      0,
      0.0205,
      0,
      0.0253,
      0.0486,
      0.0665,
      0.2579,
      0.2963,
      0.2806,
      0.2736,
      0.2774,
      0.3689,
      0.2404,
      0.3228,
      0.4657,
      0.3971,
      0.3104,
      0.3398,
      0.3304,
      0.1674,
      0.2691,
      0.0755,
      0.071,
      0.2824,
      0.3892,
      0.1796,
      0.4158,
      0.3496,
      0.3514,
      0.2897,
      0.077,
      0.2313,
      0.2518,
      0.2175,
      0.329,
      0.1373,
      0.3708,
      0.2848,
      0.4132,
      0.3999,
      0.4608,
      0.4776,
      0.3049,
      0.2703,
      0.1692,
      0.2658,
      0.2075,
      0.2413,
      0.2708,
      0.3642,
      0.4492,
      0.4953,
      0.507,
      0.2704,
      0.4164,
      0.4884,
      0.2676,
      0.178,
      0.3179,
      0.5016,
      0.2486,
      0.1857,
      0.2553,
      0.3998,
      0.4262,
      0.3913,
      0.3448,
      0.1575,
      0.466,
      0.2677,
      0.1624,
      0.1717,
      0.1968,
      0.2747,
      0.2353,
      0.3691,
      0.1,
      0.3668,
      0.2969,
      0.2763,
      0.0857,
      0.2772,
      0.2208,
      0.3557,
      0.456,
      0.4178,
      0.2675,
      0.4554,
      0.3358,
      0.4741,
      0.3597,
      0.2743,
      0.3035,
      0.1472,
      0.5233,
      0.2382,
      0.3976,
      0.3025,
      0.3205,
      0.3572,
      0.4097,
      0.4679,
      0.3808,
      0.4144,
      0.2719,
      0.337,
      0.1811,
      0.2943,
      0.376,
      0.4,
      0.1804,
      0.2047,
      0.4853,
      0.4599,
      0.334,
      0.3271,
      0.3774,
      0.288,
      0.4087,
      0.5722,
      0.0984,
      0.1869,
      0.277,
      0.222,
      0.415,
      0.4331,
      0.398,
      0.2639,
      0.3549,
      0.2335,
      0.3999,
      0.2889,
      0.4159,
      0.3226,
      0.4283,
      0.2912,
      0.4214,
      0.284,
      0.4418,
      0.3145,
      0.4057,
      0.2559,
      0.1408,
      0.1638,
      0.2174,
      0.2927,
      0.3702,
      0.3147,
      0.5768,
      0.3871,
      0.4794,
      0.3743,
      0.3972,
      0.3699,
      0.185,
      0.1888,
      0.2849,
      0.3999,
      0.3403,
      0.2124,
      0.2232,
      0.4336,
      0.5363,
      0.2961,
      0.457,
      0.4702,
      0.2386,
      0.1374,
      0.1624,
      0.2881,
      0.2522,
      0.3674,
      0.2525,
      0.3763,
      0.1668,
      0.3851,
      0.2362,
      0.3071,
      0.1313,
      0.2812,
      0.3103,
      0.384,
      0.4342,
      0.4061,
      0.2382,
      0.434,
      0.297,
      0.4756,
      0.298,
      0.4061,
      0.3083,
      0.1867,
      0.5224,
      0.2185,
      0.3717,
      0.3257,
      0.2858,
      0.4064,
      0.349,
      0.4826,
      0.3413,
      0.3749,
      0.2467,
      0.0365,
      0.0912,
      0.3159,
      0.2712,
      0.1532,
      0.1851,
      0.1884,
      0.1835,
      0.2821,
      0.2461,
      0.313,
      0.2214,
      0.3155,
      0.2024,
      0.5097,
      0.2372,
      0.1807,
      0.3358,
      0.2488,
      0.3272,
      0.3327,
      0.3168,
      0.284,
      0.2561,
      0.3072,
      0.1995,
      0.3573,
      0.3589,
      0.3495,
      0.3879,
      0.3181,
      0.4815,
      0.2289,
      0.5018,
      0.3374,
      0.3253,
      0.3398,
      0.19,
      0.4993,
      0.2604,
      0.3792,
      0.2538,
      0.2019,
      0.4026,
      0.3139,
      0.4829,
      0.3758,
      0.4032,
      0.3643,
      0.2828,
      0.3349,
      0.3112,
      0.2914,
      0.264,
      0.234,
      0.3366,
      0.4074,
      0.4002,
      0.4329,
      0.2181,
      0.2133,
      0,
      0.2869,
      0.4217,
      0.2473,
      0.1893,
      0.1961,
      0.1821,
      0.142,
      0.1723,
      0.1291,
      0.1877,
      0.0627,
      0.1064,
      0.1178,
      0.0507,
      0.3394,
      0.084,
      0.3615,
      0.2347,
      0.3702,
      0,
      0,
      0,
      0,
      0,
      0,
      0.147,
      0.085,
      0.0622,
      0.0264,
      0.0393,
      0.0444,
      0,
      0,
      0.0389,
      0,
      0,
      0.002,
      0,
      0,
      0,
      0,
      0.3008,
      0.2587,
      0.2338,
      0.3076,
      0.2967,
      0.2939,
      0.2947,
      0.2501,
      0.4369,
      0.3921,
      0.3452,
      0.3294,
      0.3506,
      0.1083,
      0.1197,
      0.0976,
      0.0811,
      0.3416,
      0.2071,
      0.1216,
      0.4157,
      0.4335,
      0.3764,
      0.3323,
      0.1445,
      0.145,
      0.2697,
      0.2077,
      0.3473,
      0.176,
      0.2762,
      0.3741,
      0.3669,
      0.2979,
      0.4374,
      0.4263,
      0.2362,
      0.2698,
      0.1827,
      0.1791,
      0.2417,
      0.1035,
      0.3201,
      0.4084,
      0.433,
      0.463,
      0.4474,
      0.2895,
      0.2904,
      0.4093,
      0.3615,
      0.1102,
      0.2522,
      0.4481,
      0.1004,
      0.2123,
      0.2284,
      0.4267,
      0.4144,
      0.3209,
      0.3899,
      0.2564,
      0.4729,
      0.1999,
      0.2687,
      0.1002,
      0.2846,
      0.3402,
      0.2384,
      0.3807,
      0.1263,
      0.3451,
      0.268,
      0.2443,
      0.1776,
      0.2623,
      0.1674,
      0.3228,
      0.4464,
      0.3791,
      0.3501,
      0.4264,
      0.3009,
      0.442,
      0.3103,
      0.2762,
      0.3596,
      0.1702,
      0.502,
      0.3144,
      0.3555,
      0.3433,
      0.324,
      0.3551,
      0.4073,
      0.4376,
      0.3683,
      0.3719,
      0.2009,
      0.2255,
      0.1634,
      0.2807,
      0.4182,
      0.3224,
      0.2315,
      0.228,
      0.3747,
      0.4054,
      0.317,
      0.4018,
      0.4028,
      0.2309,
      0.3544,
      0.5622,
      0.1189,
      0.2433,
      0.3231,
      0.114,
      0.395,
      0.4392,
      0.3339,
      0.4322,
      0.2063,
      0.2221,
      0.3651,
      0.2161,
      0.3356,
      0.1635,
      0.3427,
      0.3894,
      0.3844,
      0.2586,
      0.366,
      0.3169,
      0.3854,
      0.3263,
      0.1256,
      0.1493,
      0.1642,
      0.3331,
      0.3354,
      0.2677,
      0.6228,
      0.3929,
      0.4218,
      0.3878,
      0.3441,
      0.3253,
      0.2302,
      0.2344,
      0.2527,
      0.3963,
      0.2734,
      0.2237,
      0.2284,
      0.4434,
      0.5063,
      0.3166,
      0.3154,
      0.5733,
      0.2514,
      0.0545,
      0,
      0.2996,
      0.315,
      0.3375,
      0.216,
      0.3868,
      0.1704,
      0.4091,
      0.2153,
      0.3398,
      0.1273,
      0.2493,
      0.241,
      0.3355,
      0.4144,
      0.3931,
      0.2464,
      0.4089,
      0.2989,
      0.4176,
      0.271,
      0.3487,
      0.3405,
      0.203,
      0.4413,
      0.2338,
      0.4046,
      0.3248,
      0.3203,
      0.3976,
      0.4203,
      0.4219,
      0.4086,
      0.3462,
      0.1809,
      0,
      0.0005,
      0.2618,
      0.2701,
      0.1824,
      0.2214,
      0.1892,
      0.2448,
      0.2997,
      0.2019,
      0.2998,
      0.2619,
      0.3952,
      0.2209,
      0.4873,
      0.2385,
      0.229,
      0.3441,
      0.1498,
      0.3095,
      0.3591,
      0.4136,
      0.2719,
      0.2438,
      0.2493,
      0.2203,
      0.2619,
      0.3126,
      0.2683,
      0.3429,
      0.3457,
      0.4104,
      0.2642,
      0.3816,
      0.2908,
      0.2738,
      0.2958,
      0.2451,
      0.4666,
      0.2001,
      0.3405,
      0.3043,
      0.3039,
      0.4056,
      0.4026,
      0.4156,
      0.3984,
      0.3606,
      0.3495,
      0.2293,
      0.3294,
      0.2558,
      0.2784,
      0.1964,
      0.23,
      0.3315,
      0.3628,
      0.3764,
      0.3332,
      0.1766,
      0.2554,
      0.1006,
      0.191,
      0.3706,
      0.1893,
      0.2582,
      0.2227,
      0.2772,
      0.1763,
      0.195,
      0.1345,
      0.1609,
      0.008,
      0.0602,
      0.0793,
      0.0598,
      0.224,
      0.079,
      0.3327,
      0,
      0.335,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0921,
      0,
      0.032,
      0.0135,
      0,
      0,
      0,
      0,
      0.0369,
      0,
      0.0275,
      0,
      0,
      0,
      0,
      0,
      0.1949,
      0.3163,
      0.1283,
      0.1355,
      0.2586,
      0.2719,
      0.2811,
      0.1992,
      0.5089,
      0.414,
      0.2729,
      0.2539,
      0.2917,
      0.0831,
      0.1684,
      0.0682,
      0.0791,
      0.261,
      0.228,
      0.1403,
      0.3123,
      0.36,
      0.328,
      0.3234,
      0.1575,
      0.0695,
      0.2834,
      0.1193,
      0.3028,
      0.1525,
      0.2669,
      0.3644,
      0.3698,
      0.3288,
      0.4206,
      0.3343,
      0.2857,
      0.1243,
      0.0488,
      0.2305,
      0.1243,
      0.2001,
      0.3642,
      0.2736,
      0.411,
      0.5109,
      0.4171,
      0.2086,
      0.3007,
      0.3947,
      0.3012,
      0.1301,
      0.1958,
      0.4092,
      0.1067,
      0.2224,
      0.2177,
      0.4637,
      0.3218,
      0.3357,
      0.2901,
      0.2765,
      0.4363,
      0.1423,
      0.0994,
      0.1778,
      0.1939,
      0.3003,
      0.1885,
      0.3705,
      0,
      0.309,
      0.2028,
      0.1936,
      0.1797,
      0.1545,
      0.2634,
      0.3143,
      0.4695,
      0.2416,
      0.389,
      0.3935,
      0.2028,
      0.4263,
      0.2845,
      0.2582,
      0.3081,
      0.0574,
      0.4415,
      0.1628,
      0.3768,
      0.3701,
      0.3237,
      0.4161,
      0.3703,
      0.4111,
      0.3422,
      0.3299,
      0.1964,
      0.2328,
      0.0493,
      0.1285,
      0.3287,
      0.2999,
      0.2054,
      0.1859,
      0.4697,
      0.3406,
      0.3133,
      0.4823,
      0.3625,
      0.3314,
      0.4115,
      0.4737,
      0.0858,
      0.2974,
      0.2981,
      0.0575,
      0.2936,
      0.4096,
      0.3521,
      0.2383,
      0.1606,
      0.1852,
      0.3327,
      0.2293,
      0.3355,
      0.094,
      0.2747,
      0.4049,
      0.4377,
      0.2439,
      0.4162,
      0.3208,
      0.3497,
      0.2557,
      0.0698,
      0.1137,
      0.2077,
      0.2299,
      0.3483,
      0.2038,
      0.5797,
      0.375,
      0.3802,
      0.3654,
      0.2834,
      0.2428,
      0.1026,
      0.0341,
      0.127,
      0.3888,
      0.2636,
      0.1982,
      0.2135,
      0.4174,
      0.4438,
      0.3942,
      0.303,
      0.4415,
      0.2102,
      0,
      0.0887,
      0.2274,
      0.1675,
      0.3207,
      0.1695,
      0.3186,
      0.0874,
      0.3877,
      0.2323,
      0.3305,
      0.1317,
      0.1915,
      0.294,
      0.2983,
      0.3737,
      0.3751,
      0.2107,
      0.3225,
      0.2083,
      0.4074,
      0.2196,
      0.1586,
      0.2935,
      0.0777,
      0.4117,
      0.2448,
      0.3754,
      0.3799,
      0.2688,
      0.3807,
      0.3578,
      0.3895,
      0.3894,
      0.2997,
      0.2097,
      0,
      0,
      0.1519,
      0.1678,
      0.1475,
      0.1314,
      0.165,
      0.2137,
      0.2922,
      0.1586,
      0.283,
      0.1998,
      0.2764,
      0.1639,
      0.5022,
      0.1907,
      0.1386,
      0.269,
      0.0414,
      0.3501,
      0.2793,
      0.3467,
      0.2636,
      0.2141,
      0.1619,
      0.2383,
      0.2316,
      0.3258,
      0.2555,
      0.3392,
      0.3677,
      0.4281,
      0.1849,
      0.4222,
      0.2201,
      0.1673,
      0.277,
      0.053,
      0.4508,
      0.1979,
      0.3362,
      0.2037,
      0.2916,
      0.4251,
      0.3403,
      0.3912,
      0.3301,
      0.3436,
      0.2607,
      0.2342,
      0.3434,
      0.2517,
      0.1723,
      0.1592,
      0.2102,
      0.284,
      0.4595,
      0.3922,
      0.3138,
      0.1547,
      0.2986,
      0.0495,
      0.2185,
      0.3486,
      0.1931,
      0.1186,
      0,
      0.002,
      0.0189,
      0.0188,
      0.0653,
      0.1305,
      0.081,
      0.0157,
      0.0298,
      0.0133,
      0.1642,
      0.0016,
      0.2976,
      0.0159,
      0.3665,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0164,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0553,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1722,
      0.1628,
      0.0811,
      0.1111,
      0.2118,
      0.2865,
      0.2337,
      0.1785,
      0.4616,
      0.3735,
      0.2047,
      0.2746,
      0.2278,
      0.0354,
      0.1779,
      0,
      0.0052,
      0.0603,
      0.1931,
      0.1178,
      0.2594,
      0.2378,
      0.2864,
      0.2497,
      0.1041,
      0.0439,
      0.1944,
      0.0738,
      0.2933,
      0.2142,
      0.3543,
      0.2956,
      0.3373,
      0.3192,
      0.3906,
      0.3836,
      0.2742,
      0.2326,
      0.0272,
      0.1507,
      0.0888,
      0.0873,
      0.2477,
      0.1882,
      0.396,
      0.411,
      0.4084,
      0.138,
      0.2843,
      0.314,
      0.2387,
      0.1058,
      0.1727,
      0.4028,
      0.1899,
      0.209,
      0.2221,
      0.4417,
      0.3258,
      0.2543,
      0.2121,
      0.1761,
      0.3921,
      0.095,
      0,
      0.1685,
      0.1451,
      0.2218,
      0.1141,
      0.2173,
      0.0571,
      0.3001,
      0.1556,
      0.1729,
      0.0636,
      0.1623,
      0.1889,
      0.289,
      0.4476,
      0.3408,
      0.287,
      0.3574,
      0.2478,
      0.344,
      0.2047,
      0.1932,
      0.2223,
      0.0183,
      0.4043,
      0.2459,
      0.247,
      0.3103,
      0.1714,
      0.3653,
      0.3212,
      0.4269,
      0.2922,
      0.3056,
      0.2338,
      0.174,
      0.0902,
      0.0413,
      0.2907,
      0.2134,
      0.2021,
      0.1519,
      0.4519,
      0.3724,
      0.2815,
      0.2453,
      0.3205,
      0.2549,
      0.376,
      0.4731,
      0,
      0.2894,
      0.1864,
      0.0268,
      0.3021,
      0.3775,
      0.3083,
      0.1152,
      0.1076,
      0.1085,
      0.2388,
      0.2213,
      0.3161,
      0.1102,
      0.3057,
      0.2875,
      0.2805,
      0.208,
      0.3608,
      0.3041,
      0.4246,
      0.1765,
      0.0771,
      0.0928,
      0.0716,
      0.1609,
      0.2824,
      0.2324,
      0.5524,
      0.2575,
      0.3915,
      0.283,
      0.2434,
      0.2418,
      0.1266,
      0.1584,
      0.135,
      0.3209,
      0.2404,
      0.227,
      0.1568,
      0.44,
      0.4569,
      0.3751,
      0.3124,
      0.4903,
      0.0959,
      0,
      0.0012,
      0.1174,
      0.1625,
      0.2005,
      0.1544,
      0.1932,
      0.1131,
      0.3471,
      0.1096,
      0.2768,
      0.0365,
      0.2308,
      0.191,
      0.2479,
      0.3388,
      0.3376,
      0.2651,
      0.308,
      0.2248,
      0.3562,
      0.2051,
      0.2337,
      0.1959,
      0,
      0.3787,
      0.2173,
      0.3065,
      0.3443,
      0.1406,
      0.3827,
      0.2837,
      0.395,
      0.3288,
      0.243,
      0.2121,
      0,
      0,
      0.1426,
      0.1475,
      0.1164,
      0.1045,
      0.1219,
      0.1998,
      0.2817,
      0.1516,
      0.1994,
      0.2341,
      0.157,
      0.1446,
      0.4953,
      0.2202,
      0.1793,
      0.2657,
      0.02,
      0.3024,
      0.2228,
      0.2942,
      0.2961,
      0.1898,
      0.1411,
      0.165,
      0.1666,
      0.3035,
      0.2471,
      0.3382,
      0.3496,
      0.3557,
      0.1409,
      0.3609,
      0.1927,
      0.1695,
      0.2501,
      0.0292,
      0.3911,
      0.2035,
      0.2665,
      0.1244,
      0.2085,
      0.3855,
      0.3442,
      0.428,
      0.2972,
      0.3167,
      0.2522,
      0.1145,
      0.208,
      0.1566,
      0.2191,
      0.1467,
      0.246,
      0.2703,
      0.4447,
      0.3909,
      0.3404,
      0.1419,
      0.31,
      0,
      0.1617,
      0.2795,
      0.1479,
      0,
      0,
      0,
      0,
      0,
      0.0514,
      0.0542,
      0,
      0,
      0,
      0,
      0.1682,
      0.0463,
      0.3074,
      0,
      0.27,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1015,
      0.013,
      0,
      0.0325,
      0.1794,
      0.3352,
      0.2468,
      0.206,
      0.427,
      0.3564,
      0.1866,
      0.2172,
      0.1229,
      0,
      0.0608,
      0,
      0.0084,
      0.0866,
      0.1365,
      0.0253,
      0.2513,
      0.2822,
      0.2707,
      0.1962,
      0.0458,
      0,
      0.2242,
      0,
      0.2065,
      0.1242,
      0.3021,
      0.2987,
      0.3345,
      0.2854,
      0.3037,
      0.3658,
      0.1316,
      0.084,
      0.0339,
      0.0587,
      0.0573,
      0.1055,
      0.1902,
      0.1567,
      0.275,
      0.3927,
      0.3524,
      0.1537,
      0.2446,
      0.2589,
      0.1683,
      0,
      0.0964,
      0.3425,
      0.147,
      0,
      0.1644,
      0.3944,
      0.327,
      0.1852,
      0.2722,
      0.1386,
      0.3897,
      0.117,
      0.01,
      0.0885,
      0.0954,
      0.1793,
      0.0129,
      0.2201,
      0,
      0.2288,
      0.1481,
      0,
      0.0249,
      0,
      0.1317,
      0.1814,
      0.4029,
      0.2078,
      0.3041,
      0.2912,
      0.2248,
      0.356,
      0.1899,
      0.2225,
      0.2182,
      0.0006,
      0.3403,
      0.0928,
      0.2498,
      0.2388,
      0.0824,
      0.2211,
      0.1971,
      0.3225,
      0.2398,
      0.2374,
      0.2254,
      0.1544,
      0,
      0.0077,
      0.2908,
      0.1399,
      0.0787,
      0.0927,
      0.3558,
      0.3151,
      0.2653,
      0.1686,
      0.3039,
      0.2324,
      0.3271,
      0.3922,
      0,
      0.1206,
      0.14,
      0.0037,
      0.1924,
      0.3809,
      0.2192,
      0.0634,
      0.067,
      0.0414,
      0.153,
      0.3038,
      0.1829,
      0.0384,
      0.2037,
      0.2802,
      0.288,
      0.1133,
      0.2529,
      0.2225,
      0.2908,
      0.1548,
      0,
      0,
      0.042,
      0.1445,
      0.2747,
      0.1407,
      0.5123,
      0.274,
      0.2884,
      0.1628,
      0.1995,
      0.2004,
      0,
      0.0737,
      0,
      0.2665,
      0.1636,
      0.1251,
      0.1324,
      0.3745,
      0.3712,
      0.2948,
      0.2001,
      0.4789,
      0.041,
      0,
      0,
      0.081,
      0.1139,
      0.1545,
      0.0355,
      0.1465,
      0.0014,
      0.2521,
      0.0908,
      0.2194,
      0,
      0.1351,
      0.1502,
      0.2315,
      0.2783,
      0.2645,
      0.1714,
      0.3271,
      0.1452,
      0.2771,
      0.1732,
      0.2537,
      0.2222,
      0,
      0.3601,
      0.0593,
      0.2329,
      0.1961,
      0.157,
      0.304,
      0.2037,
      0.3227,
      0.2634,
      0.2024,
      0.1758,
      0,
      0,
      0.1917,
      0.1041,
      0.0671,
      0.0962,
      0.0364,
      0.116,
      0.1827,
      0.081,
      0.1338,
      0.1481,
      0.2489,
      0.1199,
      0.472,
      0.205,
      0.0527,
      0.21,
      0.0348,
      0.2092,
      0.1614,
      0.2543,
      0.2121,
      0.1696,
      0.164,
      0.148,
      0.2305,
      0.2279,
      0.1836,
      0.3086,
      0.3236,
      0.3563,
      0.1819,
      0.3523,
      0.1672,
      0.1316,
      0.2235,
      0.0066,
      0.3469,
      0.032,
      0.2402,
      0.1016,
      0.1091,
      0.2386,
      0.1759,
      0.2954,
      0.2941,
      0.2351,
      0.1842,
      0.0408,
      0.1649,
      0.1366,
      0.1039,
      0,
      0.1365,
      0.1064,
      0.392,
      0.3031,
      0.3166,
      0.1208,
      0.2498,
      0,
      0.1355,
      0.2385,
      0.119,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0148,
      0,
      0,
      0,
      0,
      0.1504,
      0,
      0.2663,
      0,
      0.2332,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0191,
      0,
      0,
      0,
      0.1163,
      0.36,
      0.1883,
      0.1965,
      0.3265,
      0.252,
      0.0952,
      0.1355,
      0.0854,
      0,
      0.1092,
      0,
      0,
      0.0113,
      0.1255,
      0,
      0.2477,
      0.177,
      0.2691,
      0.1427,
      0,
      0,
      0.0806,
      0,
      0.0848,
      0.005,
      0.0959,
      0.1566,
      0.2244,
      0.18,
      0.2775,
      0.2067,
      0.2007,
      0.0265,
      0,
      0.072,
      0.0458,
      0.1151,
      0.1445,
      0.1695,
      0.2219,
      0.3731,
      0.2812,
      0.1358,
      0.1991,
      0.2741,
      0.1011,
      0,
      0,
      0.3219,
      0.1415,
      0.0856,
      0.1309,
      0.3146,
      0.2682,
      0.1628,
      0.163,
      0.0829,
      0.3353,
      0.1877,
      0,
      0,
      0.0303,
      0.1174,
      0.017,
      0.1826,
      0,
      0.2596,
      0.0957,
      0.1098,
      0,
      0.0334,
      0.1238,
      0.1377,
      0.3397,
      0.2415,
      0.2218,
      0.2197,
      0.1296,
      0.1621,
      0.1132,
      0.167,
      0.1274,
      0,
      0.4241,
      0.0449,
      0.2071,
      0.1541,
      0.1033,
      0.2458,
      0.255,
      0.2591,
      0.222,
      0.1754,
      0.1512,
      0.0539,
      0,
      0.0368,
      0.183,
      0.1047,
      0.0312,
      0.0302,
      0.3307,
      0.2453,
      0.1507,
      0.26,
      0.1859,
      0.12,
      0.3459,
      0.3583,
      0,
      0,
      0.0544,
      0,
      0.2032,
      0.2477,
      0.2786,
      0.0861,
      0,
      0.036,
      0.1138,
      0.0688,
      0.1009,
      0,
      0.1789,
      0.2244,
      0.2471,
      0.0171,
      0.2145,
      0.1255,
      0.2663,
      0.1338,
      0,
      0,
      0,
      0,
      0.2146,
      0.1254,
      0.4727,
      0.2363,
      0.2522,
      0.1937,
      0.1497,
      0.1386,
      0,
      0,
      0,
      0.2492,
      0.1159,
      0.1229,
      0.0518,
      0.2925,
      0.2941,
      0.2503,
      0.1891,
      0.3104,
      0,
      0,
      0,
      0.0745,
      0.0247,
      0.1169,
      0.0496,
      0.1629,
      0,
      0.3039,
      0.0128,
      0.1354,
      0.0551,
      0.0202,
      0.1307,
      0.1678,
      0.2139,
      0.1903,
      0.1541,
      0.2093,
      0.0841,
      0.1768,
      0.1128,
      0.1356,
      0.1169,
      0,
      0.3533,
      0.076,
      0.2071,
      0.1559,
      0.12,
      0.2529,
      0.1579,
      0.2617,
      0.2392,
      0.1376,
      0.146,
      0,
      0,
      0.0786,
      0.1054,
      0.0352,
      0.0767,
      0.049,
      0.0326,
      0.0585,
      0,
      0.1269,
      0.0505,
      0.145,
      0.1068,
      0.3101,
      0.0765,
      0.0315,
      0.1588,
      0,
      0.204,
      0.1687,
      0.2836,
      0.1852,
      0.1363,
      0.0687,
      0.1212,
      0.0524,
      0.1241,
      0.1439,
      0.2292,
      0.2055,
      0.2572,
      0.044,
      0.2351,
      0.0915,
      0.1071,
      0.1618,
      0,
      0.3883,
      0,
      0.2405,
      0,
      0.0601,
      0.1963,
      0.1827,
      0.2257,
      0.26,
      0.0856,
      0.1755,
      0,
      0.1499,
      0.0635,
      0.1399,
      0.0621,
      0.1535,
      0.1405,
      0.3412,
      0.2424,
      0.262,
      0.0708,
      0.1646,
      0,
      0.0741,
      0.2481,
      0.0321,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1213,
      0,
      0.1651,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0589,
      0,
      0,
      0.0174,
      0.0509,
      0.3255,
      0.1296,
      0.2197,
      0.2253,
      0.1739,
      0.066,
      0.0684,
      0.1064,
      0,
      0,
      0,
      0,
      0,
      0.0875,
      0,
      0.0918,
      0.1206,
      0.1604,
      0.1528,
      0,
      0,
      0.0334,
      0,
      0.03,
      0,
      0.074,
      0.1651,
      0.1555,
      0.0714,
      0.1889,
      0.1625,
      0.081,
      0.0375,
      0,
      0.0361,
      0,
      0.0561,
      0.0655,
      0.1428,
      0.2463,
      0.2298,
      0.2026,
      0.041,
      0.0758,
      0.137,
      0.0503,
      0,
      0,
      0.2132,
      0.0433,
      0.0559,
      0,
      0.2733,
      0.1008,
      0.0736,
      0.08,
      0,
      0.2524,
      0.0754,
      0,
      0.0348,
      0,
      0.0695,
      0,
      0.1336,
      0,
      0.0372,
      0.0104,
      0.0114,
      0,
      0,
      0.0081,
      0.1333,
      0.2579,
      0.1443,
      0.1202,
      0.1621,
      0.0721,
      0.1526,
      0.0077,
      0.093,
      0.088,
      0,
      0.3192,
      0,
      0.1181,
      0.097,
      0.0893,
      0.1506,
      0.1514,
      0.198,
      0.1072,
      0.0863,
      0.0235,
      0,
      0,
      0,
      0.1409,
      0.1214,
      0.0225,
      0,
      0.159,
      0.0976,
      0.1245,
      0.1109,
      0.1041,
      0.0509,
      0.1355,
      0.2663,
      0,
      0,
      0.0852,
      0,
      0.1532,
      0.3057,
      0.1641,
      0.0574,
      0,
      0,
      0.173,
      0,
      0.0628,
      0,
      0.0772,
      0.1249,
      0.2078,
      0,
      0.0951,
      0.111,
      0.1218,
      0.0466,
      0,
      0,
      0.0258,
      0,
      0.1395,
      0.0802,
      0.2631,
      0.2231,
      0.2219,
      0.1708,
      0.0771,
      0.1212,
      0,
      0,
      0,
      0.1193,
      0.0322,
      0.0896,
      0,
      0.2876,
      0.1865,
      0.152,
      0.2275,
      0.2858,
      0,
      0,
      0,
      0,
      0,
      0.1277,
      0.0151,
      0.143,
      0,
      0.1073,
      0,
      0,
      0,
      0,
      0.0108,
      0.0458,
      0.1529,
      0.1701,
      0.0304,
      0.0865,
      0.0828,
      0.0873,
      0.0721,
      0.0403,
      0.0492,
      0,
      0.2489,
      0,
      0.109,
      0.1241,
      0.0718,
      0.1937,
      0.1625,
      0.2218,
      0.1282,
      0.0019,
      0,
      0,
      0,
      0,
      0.0095,
      0,
      0,
      0,
      0.0444,
      0.0122,
      0,
      0.0866,
      0.0842,
      0.1,
      0.009,
      0.2535,
      0,
      0,
      0.1219,
      0,
      0.1791,
      0.059,
      0.1344,
      0.1681,
      0.0503,
      0,
      0.0603,
      0,
      0.0038,
      0.1006,
      0.1458,
      0.1028,
      0.1795,
      0.0532,
      0.111,
      0.0284,
      0,
      0.1024,
      0,
      0.2451,
      0,
      0.0893,
      0,
      0.0576,
      0.2106,
      0.1586,
      0.2293,
      0.1331,
      0.0566,
      0.084,
      0.0119,
      0.081,
      0.0443,
      0.0067,
      0.0038,
      0.0502,
      0.0497,
      0.1838,
      0.1304,
      0.239,
      0.033,
      0.1196,
      0,
      0.0342,
      0.1879,
      0.0202,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0497,
      0,
      0.051,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0333,
      0.0345,
      0.0876,
      0.1747,
      0.1101,
      0.0043,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.043,
      0,
      0.0307,
      0.0092,
      0.0369,
      0.0981,
      0,
      0,
      0,
      0,
      0.06,
      0,
      0.1058,
      0.0656,
      0.0696,
      0.0225,
      0.0822,
      0.0449,
      0.04,
      0.0056,
      0,
      0,
      0,
      0,
      0.0675,
      0.028,
      0.1825,
      0.1941,
      0.1608,
      0,
      0.0498,
      0.0635,
      0.0047,
      0,
      0,
      0.1155,
      0.0178,
      0,
      0,
      0.1701,
      0.0465,
      0.019,
      0,
      0,
      0.1154,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0258,
      0,
      0.0107,
      0,
      0,
      0,
      0,
      0,
      0.0735,
      0.1477,
      0.1253,
      0.0141,
      0.0751,
      0,
      0.0734,
      0.0257,
      0,
      0,
      0,
      0.1887,
      0,
      0.0475,
      0.0531,
      0,
      0.0716,
      0,
      0.148,
      0,
      0.0502,
      0,
      0,
      0,
      0,
      0.0828,
      0.0716,
      0,
      0,
      0.1605,
      0.0852,
      0.0239,
      0.0456,
      0.0617,
      0,
      0.0775,
      0.134,
      0,
      0,
      0,
      0,
      0.0114,
      0.1742,
      0.0029,
      0,
      0,
      0,
      0,
      0,
      0.0297,
      0,
      0.0882,
      0.0345,
      0.1555,
      0,
      0.0215,
      0.0175,
      0.143,
      0,
      0,
      0,
      0,
      0,
      0.0034,
      0,
      0.2505,
      0.083,
      0.1294,
      0.0851,
      0.0264,
      0.0846,
      0,
      0,
      0,
      0.0571,
      0,
      0,
      0,
      0.1306,
      0.1373,
      0.0505,
      0.1117,
      0.1464,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0239,
      0,
      0.0046,
      0,
      0,
      0,
      0,
      0,
      0.0491,
      0.0777,
      0.1148,
      0.0066,
      0.0264,
      0,
      0.0562,
      0,
      0.0356,
      0,
      0,
      0.1893,
      0,
      0.0481,
      0.091,
      0.0053,
      0.1655,
      0.0585,
      0.1136,
      0.047,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0108,
      0,
      0.0409,
      0,
      0,
      0,
      0.1985,
      0,
      0,
      0.0132,
      0,
      0.0933,
      0.0479,
      0,
      0.101,
      0,
      0,
      0,
      0,
      0.0544,
      0.0005,
      0.129,
      0,
      0.0075,
      0,
      0.0506,
      0,
      0,
      0.0144,
      0,
      0.1799,
      0,
      0.0083,
      0,
      0,
      0.143,
      0.0598,
      0.1412,
      0,
      0,
      0,
      0,
      0.0371,
      0,
      0,
      0,
      0,
      0.0216,
      0.1028,
      0.0947,
      0.0817,
      0,
      0.0642,
      0,
      0,
      0.0999,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0635,
      0,
      0.0552,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0419,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0926,
      0.0054,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0623,
      0.035,
      0,
      0,
      0.0342,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0678,
      0,
      0,
      0,
      0,
      0.0758,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0019,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0727,
      0,
      0,
      0.0128,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1323,
      0,
      0,
      0,
      0,
      0,
      0.0368,
      0.0142,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0239,
      0,
      0,
      0,
      0.0292,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0805,
      0,
      0,
      0,
      0,
      0,
      0.0844,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0266,
      0,
      0.065,
      0,
      0.0252,
      0,
      0.0456,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1452,
      0.0347,
      0.0247,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0453,
      0,
      0,
      0,
      0.1075,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0154,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0298,
      0,
      0.0255,
      0,
      0.016,
      0,
      0,
      0,
      0,
      0.1336,
      0,
      0,
      0,
      0,
      0,
      0.013,
      0.0332,
      0.0301,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1226,
      0,
      0,
      0,
      0,
      0.0285,
      0,
      0.0205,
      0.0086,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0138,
      0,
      0.0296,
      0,
      0,
      0,
      0,
      0.0877,
      0,
      0,
      0,
      0,
      0.0173,
      0.0231,
      0,
      0.0137,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0439,
      0,
      0.0048,
      0,
      0,
      0,
      0,
      0.0304,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0155,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0219,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0166,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      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,
      0.09423464082864971,
      0.09130180047863908,
      0.09061142360208871,
      0.08829812668594535,
      0.08612952078194264,
      0.09292712787153226,
      0.09159103626340717,
      0.0965066892182999,
      0.10471579896732987,
      0.09504256074545582,
      0.09022513838461621,
      0.0606665276066432,
      0.07463826694400881,
      0.11083552104186264,
      0.0548162364535462,
      0.06032713180150401,
      0.09922824452763682,
      0.057797976334775424,
      0.04876909093721424,
      0.06608282228904448,
      0.09404802154685081,
      0.1639230821874323,
      0.21128842662351588,
      0.1831579252962731,
      0.16108602993129853,
      0.1472521904838251,
      0.19138835180699448,
      0.23750382028727002,
      0.1856200174038839,
      0.19038515248415835,
      0.14135632963156886,
      0.1600296944227373,
      0.161954352041326,
      0.19105375640404437,
      0.17615178086649363,
      0.15972467515729075,
      0.13595059374150248,
      0.16698514142920545,
      0.20041874119880926,
      0.13041063875626033,
      0.19144407296117869,
      0.1640521926364008,
      0.18584784027187132,
      0.16394798532461746,
      0.21844709786592886,
      0.15262463093890877,
      0.1862058636499695,
      0.15404004885204717,
      0.15807050986210172,
      0.21301758731893097,
      0.20212814401426066,
      0.1943152377554553,
      0.16327350817173572,
      0.1644115915839181,
      0.15976258764953166,
      0.18650722687071417,
      0.1448890514244467,
      0.18762952257159476,
      0.1287243006826889,
      0.14499783016412487,
      0.18210010032398863,
      0.17434839739313174,
      0.1790532152446746,
      0.16633367761357204,
      0.19550151060087684,
      0.15879550995626213,
      0.19773800572636752,
      0.2809175040918224,
      0.21576710302973887,
      0.2532989123658717,
      0.16936608357409366,
      0.19899175664263227,
      0.2086350018734164,
      0.2215011508391919,
      0.21878670095261119,
      0.15692258082805116,
      0.14611254280589175,
      0.17473437849954135,
      0.15602136624331278,
      0.18086255325858655,
      0.13309238836191223,
      0.15595952223655052,
      0.21913736467792225,
      0.20232876242456757,
      0.2167502450168535,
      0.24410445775548276,
      0.13164543201332332,
      0.154081352515151,
      0.1654125507632453,
      0.2727847727063938,
      0.23926386247027043,
      0.19299258169796538,
      0.24448159764315275,
      0.1992391884406761,
      0.2319911028512483,
      0.1935009209676385,
      0.1972926416806543,
      0.20862411181089036,
      0.1441890857699071,
      0.16844683139989916,
      0.18230680422380052,
      0.17961601516068748,
      0.15453258529878486,
      0.14125763192612187,
      0.21275399728950872,
      0.1930991829445551,
      0.2212480887491878,
      0.2425796785453764,
      0.22165082923386964,
      0.17419453289759781,
      0.17697231234841793,
      0.18077774475841857,
      0.15049640069011938,
      0.1981662937149766,
      0.16901608562166973,
      0.15606155580964395,
      0.17750966801615187,
      0.21263282816500026,
      0.20155830988875606,
      0.18295472351662326,
      0.21996452666887376,
      0.1916137048606926,
      0.2102307551933862,
      0.1340030369406785,
      0.19669224062603977,
      0.16700234670274142,
      0.15441741792455102,
      0.17136911566548474,
      0.23750233646197588,
      0.16368789128053898,
      0.1979220724220565,
      0.23516574056616163,
      0.20144232115100713,
      0.2129657161227644,
      0.13812670199650826,
      0.1899274184459571,
      0.18050780225091334,
      0.13671648571701453,
      0.17218108244477065,
      0.19856972407538817,
      0.2392498448118673,
      0.18675322109087422,
      0.22265591424638975,
      0.1774275563286006,
      0.19959526548484535,
      0.15824010101527883,
      0.19320943157731943,
      0.18024399753783993,
      0.14108698386922128,
      0.16952274618739774,
      0.21957564403482646,
      0.20642311307654518,
      0.2106472938073266,
      0.23053513308149973,
      0.19122993485430417,
      0.20095699606223438,
      0.15915710544248815,
      0.2842081896163922,
      0.18775772305801372,
      0.13316951987313191,
      0.19006412035645107,
      0.27948120526213643,
      0.3131011562192511,
      0.2376123268790805,
      0.15590328559840888,
      0.13248565408113164,
      0.16162482405947262,
      0.16889339169107517,
      0.1731768456022381,
      0.17415813217485537,
      0.14039920814895596,
      0.19440864882810904,
      0.2159925445741521,
      0.15811049640765265,
      0.19817173534715504,
      0.16996528028075708,
      0.23506102101592352,
      0.2661981725208337,
      0.1747944888491451,
      0.1962052410361425,
      0.26981081348494834,
      0.15421544069983245,
      0.14873294869478426,
      0.21877617402164,
      0.3114929816405673,
      0.28738386430401097,
      0.1641045269758825,
      0.1378673634393454,
      0.16904168964637487,
      0.17164119523856927,
      0.12333238219662244,
      0.19700842130620552,
      0.14335655594255103,
      0.17510066804322663,
      0.19868583468156215,
      0.17554076111190067,
      0.2105762780615948,
      0.18031317488729048,
      0.17795641500345927,
      0.2845265202692919,
      0.17802969643104674,
      0.12263696728753862,
      0.18893579610203817,
      0.2364563080344774,
      0.1416320357665885,
      0.20267456170252401,
      0.27091746897623725,
      0.17538884645917394,
      0.16131631069073035,
      0.1422890543664347,
      0.1334703327785593,
      0.23652439445654055,
      0.1350894698856742,
      0.1993085929437185,
      0.13178110766954204,
      0.15149127966065407,
      0.24866941832632666,
      0.23089607136066567,
      0.14609362299550072,
      0.1836995006865112,
      0.14529981157596,
      0.13127691912297929,
      0.2161265622087903,
      0.14544132151802705,
      0.1868130745593806,
      0.1507330678504613,
      0.24087693683186423,
      0.19837042610042427,
      0.29534517447433245,
      0.14097126005431826,
      0.18138175335369,
      0.1558072456820304,
      0.11670692518677225,
      0.21307745295622876,
      0.20833922647505435,
      0.19748337484388717,
      0.15971882187897593,
      0.13155567674122953,
      0.253668447664628,
      0.2516367757090611,
      0.1570149748003956,
      0.1836419127702225,
      0.21120580417553536,
      0.1511195478554965,
      0.1770088501830664,
      0.2712500217197926,
      0.16682277361394016,
      0.1892279833717617,
      0.15240706921751906,
      0.15886398285036515,
      0.17837094453864072,
      0.21112039746848568,
      0.20065723859656556,
      0.18245265004870287,
      0.22478366301584504,
      0.18879963443581113,
      0.21049861154209976,
      0.13647407724540958,
      0.19663224432483914,
      0.16738966028818492,
      0.16055074761634727,
      0.18008018085287636,
      0.21060421258192163,
      0.21224921167233646,
      0.18410872513885265,
      0.22001626980392375,
      0.20040005155672388,
      0.21574449389480527,
      0.13109596353318134,
      0.19062496571731993,
      0.17642058205965222,
      0.1476195256748625,
      0.17580595852402264,
      0.20989061070549458,
      0.22542027099655396,
      0.18308954064728528,
      0.21685818359021192,
      0.18260895017411927,
      0.2003695268605522,
      0.1544469862967319,
      0.1913546967348584,
      0.17862367338198337,
      0.1394169355675202,
      0.16838316464229416,
      0.21937746529060329,
      0.20679864285673705,
      0.20752532091890416,
      0.2303349042258981,
      0.19348819067337847,
      0.20215893605659752,
      0.18156248319045537,
      0.10691424949533415,
      0.09595401403645727,
      0.10723324129686698,
      0.16342263915219266,
      0.13999199264046602,
      0.13416324088824957,
      0.30102327898034503,
      0.16823726491126909,
      0.17195603283572333,
      0.1034824572095325,
      0.08558762809066325,
      0.22807027247718487,
      0.16823120340651554,
      0.12336394187020744,
      0.11434537098342172,
      0.22326676701807466,
      0.10469997850175046,
      0.2387509170219512,
      0.2716088734082053,
      0.2863411615702345,
      0.21789982950623732,
      0.16439706224332937,
      0.2077937061732364,
      0.21171566423553584,
      0.17914157066860253,
      0.16640503057370865,
      0.21551884481451214,
      0.2436331607159756,
      0.22847342924118205,
      0.14146448100808934,
      0.14652196772875373,
      0.17681402015064562,
      0.2318110763094522,
      0.2522103159279715,
      0.23421455734758903,
      0.1993414030033209,
      0.16207114574155448,
      0.21077370930696485,
      0.23048462943025183,
      0.24280790700754523,
      0.17642307396828694,
      0.15488270692092646,
      0.1753923358217845,
      0.18694753353146526,
      0.1293111770309436,
      0.19150127277052068,
      0.169086735432181,
      0.1381903086501105,
      0.17399743347219304,
      0.2136158198547261,
      0.21626220581741945,
      0.18103936653378427,
      0.22214597751259907,
      0.18755700117257967,
      0.20311613927999358,
      0.15237683470834512,
      0.19354711427697513,
      0.1804299762450322,
      0.14063471033322653,
      0.1719371714645765,
      0.20367328733943216,
      0.22849349919938783,
      0.2019261977329218,
      0.21522492111969338,
      0.16712684220226828,
      0.19811473717691866,
      0.15688307966014822,
      0.18662337599479994,
      0.17888031739601457,
      0.13810283412336513,
      0.16722472980349137,
      0.20333215200338303,
      0.21641352935397284,
      0.2025158370651838,
      0.22213331080552556,
      0.16478503235419098,
      0.1934820312272224,
      0.17021952230303147,
      0.1749547589890197,
      0.18857921427499552,
      0.14606281442659827,
      0.16223528923045136,
      0.19033783676551816,
      0.21981345973419877,
      0.19815695768856453,
      0.23707982918456752,
      0.18898820932510635,
      0.19536481874732026,
      0.21666980914973016,
      0.14722353882905156,
      0.18060700668181331,
      0.15336131003537248,
      0.15336199611702353,
      0.18812387153253915,
      0.15699408246553107,
      0.18229503368446803,
      0.16819197054013588,
      0.16430002905638608,
      0.18242119020740297,
      0.14834795090110298,
      0.1401292742005782,
      0.1855686964767469,
      0.14669120468463445,
      0.13909087336639442,
      0.17579527012274557,
      0.13399344976488278,
      0.1616633642682875,
      0.1755671077379891,
      0.13566934702016795,
      0.16994083339523475,
      0.11835263817757555,
      0.12362250487207843,
      0.2525239794565073,
      0.2989858110944394,
      0.37457746361446764,
      0.40398543798542447
    ]
  },
  "energy": {
    "average_loudness_lufs": -18.8799047169165,
    "peak_loudness": 0.971816666644138,
    "dynamic_range_score": 0.530864417552948,
    "rms_level": 0.976268333580648,
    "energy_curve": [
      0,
      0,
      1,
      1,
      0.935817634358126,
      1,
      0.961811766904943,
      1,
      1,
      0.916979060453527,
      1,
      0.893209709840662,
      1,
      0.939517498016357,
      1,
      1,
      0.847249900593477,
      1,
      1,
      0.95145375588361,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      1,
      1,
      0.841029896455653,
      1,
      1,
      0.92559253468233,
      1,
      0.9957735117744,
      1,
      1,
      0.975483782151166,
      0.972281175501206,
      0.966370498432833,
      1,
      1,
      0.928401133593391,
      0.964894589255838,
      0.985967776354621,
      0.975157723707311,
      1,
      1,
      1,
      1,
      0.0557081559125115,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "energy_mean": 0.976268333580648,
    "energy_std": 0.144328224255041,
    "energy_peak_position": 0.00477326968973747,
    "aggressiveness_index": 0.378651824362074,
    "smoothness_index": 0.641355633910704,
    "urgency_index": 0.265381082646142,
    "analyzed_at": "2026-03-22T16:25:28.921547+00:00",
    "danceability": 1,
    "integrated_loudness_lufs": -18.88,
    "dynamic_range_db": 35.02,
    "waveform_peaks_max": [
      0.0000116504110850852,
      0.0000116504110850852,
      0.0000116504145889498,
      0.215240758313456,
      0.18463981509796,
      0.230240624950784,
      0.250835553140737,
      0.219756539618887,
      0.230754864166227,
      0.212119154111713,
      0.210623311371564,
      0.21524431320052,
      0.227394648504242,
      0.205713888327565,
      0.176692431037978,
      0.216194914803151,
      0.232318208424708,
      0.220259948829551,
      0.209261190255302,
      0.196554143102894,
      0.215242225737767,
      0.221615228855009,
      0.270708033206588,
      0.215547160643303,
      0.239825365191216,
      0.235551522885663,
      0.17158930798485,
      0.213089183585511,
      0.182153874306456,
      0.206170174616674,
      0.604824179938372,
      0.16531699911051,
      0.211570688774299,
      0.640997966662338,
      0.439431075131525,
      0.18471560446346,
      0.203268394710396,
      0.575962134532098,
      0.11027184638836,
      0.175050052546152,
      0.636379341647408,
      0.397273132064938,
      0.177490296504516,
      0.124559836557014,
      0.654494054067467,
      0.14554723874647,
      0.227598227792539,
      0.595388889630293,
      0.183153892972875,
      0.169564748131649,
      0.165361517870611,
      0.593665844137226,
      0.203889342541622,
      0.170938319291132,
      0.679213539974204,
      0.253743306084002,
      0.538763796287377,
      0.57720944519694,
      0.48821871723014,
      0.426956976421593,
      0.439034994575087,
      0.636491279254049,
      0.575427082692968,
      0.535052576863652,
      0.381554206846988,
      0.607290196827955,
      0.406388565208989,
      0.344381207506577,
      0.592384472693996,
      0.389452049835493,
      0.456709645045256,
      0.54427903822463,
      0.421924041720045,
      0.369317789539636,
      0.393787813313405,
      0.412446092767189,
      0.562621883455269,
      0.532739544125538,
      0.423267086320257,
      0.514733669119913,
      0.562739318736092,
      0.691900270533678,
      0.623640445187054,
      0.385981363991179,
      0.401262583405318,
      0.559107960263634,
      0.413336137282032,
      0.438275571491923,
      0.51659940612632,
      0.378651517550995,
      0.551932420723595,
      0.544348110507014,
      0.643421655594314,
      0.498524045479349,
      0.363188378858116,
      0.57250368411303,
      0.346196473383844,
      0.369679065271557,
      0.566081821966597,
      0.46127734423619,
      0.359014404077543,
      0.365835488308517,
      0.492923196901271,
      0.464830205841953,
      0.590404648614351,
      0.377588316967386,
      0.560247342903757,
      0.563331124760567,
      0.336856958347031,
      0.659849160743225,
      0.432553856753646,
      0.389337756082774,
      0.497106596266155,
      0.36494527845009,
      0.49244700737819,
      0.404028616228801,
      0.443980586528175,
      0.543555205348008,
      0.398774369139528,
      0.454925505097752,
      0.548139934928136,
      0.42099658821923,
      0.563809587757934,
      0.396734649346433,
      0.377352578351923,
      0.467262533976214,
      0.553864460507347,
      0.402239681317349,
      0.395248954568777,
      0.399045573953846,
      0.432028477514204,
      0.596312622900458,
      0.497192781609526,
      0.538434225187765,
      0.552897944584718,
      0.403039572242796,
      0.670947683502713,
      0.623624241515783,
      0.374394705634636,
      0.544574755225335,
      0.502658544479146,
      0.451967756388153,
      0.477920746770436,
      0.50034861193324,
      0.522289540239976,
      0.554415468002372,
      0.384799074690903,
      0.662393178468751,
      0.348628181479664,
      0.31490600608549,
      0.585398458237579,
      0.388279846493865,
      0.345975347007653,
      0.591053870198511,
      0.311274792288669,
      0.374376063145494,
      0.456282314551366,
      0.49707315552621,
      0.475299141567929,
      0.556029345393836,
      0.366844084173378,
      0.548733270380767,
      0.526160233550857,
      0.608465872384855,
      0.702709814043526,
      0.291077866774323,
      0.366873556667298,
      0.531027452644938,
      0.401371338147959,
      0.406641623564919,
      0.545845544679163,
      0.386985082220299,
      0.562702240437289,
      0.451795881732166,
      0.472692913318772,
      0.457536941669818,
      0.348009300443242,
      0.574424769884316,
      0.371725357472132,
      0.392295794143645,
      0.608785522869403,
      0.396841915996815,
      0.437024912619496,
      0.405819121904304,
      0.450375580342142,
      0.527666265589395,
      0.505753859050968,
      0.338839737943247,
      0.493791498734765,
      0.495775125716852,
      0.349453659324798,
      0.704032893405921,
      0.430000538451497,
      0.347163278657747,
      0.517481266133735,
      0.388520049386107,
      0.393331341012763,
      0.452710231753917,
      0.48735471432984,
      0.508393156017007,
      0.690068180946698,
      0.389224330383873,
      0.57139278190532,
      0.396725224762122,
      0.566208268472769,
      0.389393476870718,
      0.407316638748245,
      0.332567305061219,
      0.678891326664098,
      0.393415583569017,
      0.391011983882546,
      0.52060072086888,
      0.335394866366048,
      0.515843041899467,
      0.661887309772269,
      0.606333229497325,
      0.574049191932343,
      0.354942735639819,
      0.581513173355374,
      0.670205249472846,
      0.371488378779786,
      0.557013511744101,
      0.373653511681652,
      0.38635652858419,
      0.370613339195228,
      0.515245490185433,
      0.518407272878186,
      0.474144175294976,
      0.36843233330926,
      0.466661675390492,
      0.35398618166815,
      0.391811544120824,
      0.543582487039435,
      0.349175799431208,
      0.453411536567163,
      0.586446199196047,
      0.327380786837708,
      0.431667325789971,
      0.434971965339648,
      0.37522229161047,
      0.554392981274893,
      0.50357826816739,
      0.341590951847978,
      0.491978671675367,
      0.499612171608307,
      0.658406083274449,
      0.593281172288112,
      0.367211064258961,
      0.404700076525063,
      0.493069443301676,
      0.417033715860044,
      0.439547394343153,
      0.54188486312247,
      0.41682406019502,
      0.539290415603701,
      0.678904471479058,
      0.580944102073754,
      0.428066183857563,
      0.38307131690568,
      0.535266820813143,
      0.41185093853513,
      0.398780362844463,
      0.446935689740423,
      0.410147816943983,
      0.43581802846104,
      0.398394202903089,
      0.559652643366554,
      0.397688309805375,
      0.402916184592935,
      0.343778943500387,
      0.434937243186923,
      0.44160236708191,
      0.416211958245559,
      0.586314420359278,
      0.375434262085675,
      0.297210356980102,
      0.552620084691128,
      0.349621896421928,
      0.366473259849457,
      0.470121324550547,
      0.465729757612899,
      0.891250937995045,
      0.347024059359679,
      0.569437511347958,
      0.583070999271726,
      0.499944429541166,
      0.648179086548351,
      0.377614482589618,
      0.365131124638959,
      0.575204819579634,
      0.447007407520158,
      0.254198476303916,
      0.309428731168806,
      0.558728042042571,
      0.371387105834339,
      0.588118856231767,
      0.349684396296832,
      0.494583907863018,
      0.523001096355455,
      0.400711410566709,
      0.611986491991659,
      0.42250100815782,
      0.370636445961148,
      0.458775654468272,
      0.318542510877013,
      0.349596846868891,
      0.405599917647282,
      0.510851897788876,
      0.689539536171464,
      0.509125173401056,
      0.548306766604799,
      0.302322181239359,
      0.572725203180234,
      0.654945855411849,
      0.522904742381644,
      0.41745038169274,
      0.486066977158611,
      0.637325850996325,
      0.186946130752957,
      0.657509301008542,
      0.50673170100913,
      0.634785842852721,
      0.527258610982049,
      0.360579794462881,
      0.385829661252489,
      0.432314769930599,
      0.306174066717515,
      0.567089880464808,
      0.347541626114758,
      0.397776479271758,
      0.362126004992429,
      0.565929416517673,
      0.391054353176049,
      0.410681794049814,
      0.437977787696412,
      0.378753617214364,
      0.673515552040289,
      0.586607781213905,
      0.541948396394777,
      0.618579360740261,
      0.304309776467471,
      0.615926298920821,
      0.425454747285497,
      0.40736863930554,
      0.527062761506323,
      0.47323656302429,
      0.314436885000642,
      0.294288012465514,
      0.464319128822562,
      0.579702495762573,
      0.396469107549881,
      0.356808141959057,
      0.511570853029758,
      0.414911365610643,
      0.565588230031257,
      0.52353205594087,
      0.382535686364006,
      0.402890639009145,
      0.476372304102499,
      0.354422027356637,
      0.363921884334426,
      0.567329463318608,
      0.363608847593254,
      0.694112112998138,
      0.39883657966316,
      0.555280214948801,
      0.607791931934827,
      0.527778616554997,
      0.602516314187271,
      0.294264471672684,
      0.433874703977652,
      0.649859514732538,
      0.54614506458231,
      0.657104622585714,
      0.318124191608472,
      0.558449686118228,
      0.317111668833483,
      0.585744109000775,
      0.342399461307762,
      0.357213647099806,
      0.349919266858477,
      0.31755726979345,
      0.647019159967865,
      0.369902361782294,
      0.400620926290145,
      0.554578827463762,
      0.359999893176483,
      0.400746876765564,
      0.37795475968632,
      0.436891645690467,
      0.58531173552756,
      0.436545705575999,
      0.473076262419211,
      0.549234633464574,
      0.398186490025182,
      0.450534806213922,
      0.45690466780306,
      0.397155283425155,
      0.409314733293967,
      0.567391301819175,
      0.435419178399563,
      0.372000737211956,
      0.485890927577117,
      0.379137586353245,
      0.515732881736358,
      0.52939336200028,
      0.425650348745846,
      0.566151596959215,
      0.457981715911863,
      0.661535210609282,
      0.595236360173681,
      0.363640510889667,
      0.447135672805759,
      0.521060045346353,
      0.440292721885747,
      0.411141697229832,
      0.593142490356693,
      0.398368037280857,
      0.583899081278314,
      0.43768351745207,
      0.57339492736886,
      0.379358072023047,
      0.377397965165841,
      0.57386264303324,
      0.454984243406112,
      0.528881788950136,
      0.565611295461281,
      0.274641061048789,
      0.438933390942471,
      0.314593403371228,
      0.476190219480175,
      0.485386050942142,
      0.654933702658395,
      0.35528991583117,
      0.593438290029191,
      0.600582827647154,
      0.6177870342838,
      0.628939376380012,
      0.357739522370001,
      0.357399741304052,
      0.57011459332609,
      0.384386749127297,
      0.424364389018149,
      0.405837805729342,
      0.450009674989857,
      0.553888683342462,
      0.404350994882491,
      0.563630810007298,
      0.487984466706936,
      0.405267577042631,
      0.507361205370849,
      0.389366112507499,
      0.404865750796635,
      0.516854531277054,
      0.435009622340996,
      0.366951392159655,
      0.361672467540411,
      0.465750466896845,
      0.367780259548269,
      0.520607003925087,
      0.451257150998284,
      0.470304277226689,
      0.561902142832362,
      0.379500556856906,
      0.618140414859566,
      0.594249630997858,
      0.356627297413616,
      0.52594966849612,
      0.363074291784878,
      0.387985700257212,
      0.478935295004335,
      0.570283987828311,
      0.506364142221001,
      0.602687610140712,
      0.361402213451703,
      0.555032116900404,
      0.344550953363915,
      0.572697549465742,
      0.473705146742489,
      0.47479674508672,
      0.492132730560135,
      0.566349141206681,
      0.448850285776021,
      0.367273894821034,
      0.444702848640744,
      0.416462701791307,
      0.499468198682188,
      0.621009828759197,
      0.583286359290412,
      0.610815570062811,
      0.436659585969757,
      0.631863684349665,
      0.649535399971211,
      0.348677495203712,
      0.566477365156386,
      0.471541295253403,
      0.432738132178463,
      0.396843693440347,
      0.456543102719866,
      0.394512431572052,
      0.628153332979758,
      0.429635666496615,
      0.533208747882178,
      0.45780566633037,
      0.33532763353104,
      0.599151324229286,
      0.406733554597847,
      0.351324728661802,
      0.51427095509896,
      0.378318350228422,
      0.436768340712398,
      0.460282141201667,
      0.441960666629311,
      0.501654082203896,
      0.553520132492827,
      0.39066591976039,
      0.468575444708168,
      0.529099546450795,
      0.68874766440986,
      0.642001271532497,
      0.348743756645162,
      0.331700263972556,
      0.481912306241516,
      0.380620966320719,
      0.447495543117213,
      0.522799542526068,
      0.364938788714402,
      0.507565570041172,
      0.61769278844069,
      0.520073977544867,
      0.477018838853412,
      0.406076396521636,
      0.537685632109379,
      0.367951803517088,
      0.3925263244362,
      0.51765454621019,
      0.489264143378426,
      0.419744937285297,
      0.434306746763697,
      0.458291983147996,
      0.363243479607619,
      0.643717083243747,
      0.406414772167117,
      0.542005439931396,
      0.586480962684668,
      0.322960388112529,
      0.650966159342949,
      0.468869094914069,
      0.387993595413367,
      0.538898344629185,
      0.348663689014415,
      0.432998630995691,
      0.438002547898177,
      0.408879466308025,
      0.642043764833689,
      0.373969483271446,
      0.459658837224362,
      0.544610180088294,
      0.429748802844243,
      0.611520181747745,
      0.419991877928604,
      0.425532706785543,
      0.410960521997222,
      0.508277043484859,
      0.388852389990758,
      0.409939318684051,
      0.499597332021607,
      0.428089993333717,
      0.564336248410155,
      0.550769228607317,
      0.445533617480579,
      0.527531593239898,
      0.373390863397827,
      0.645804339317358,
      0.575377066258687,
      0.361900393671511,
      0.495766610522255,
      0.445520844688684,
      0.441196448582199,
      0.391829525235628,
      0.524808260397087,
      0.466846736197335,
      0.611469338595541,
      0.542191782151019,
      0.549925232280731,
      0.394878254252545,
      0.378572524653547,
      0.606935782854787,
      0.376981299333145,
      0.369601684474056,
      0.406933703006767,
      0.403438174288897,
      0.475370115301534,
      0.569256253443556,
      0.463512541481946,
      0.457589024898905,
      0.384899851605597,
      0.378121674034775,
      0.438988946386831,
      0.440021682415014,
      0.544126963462875,
      0.429184898549636,
      0.36880538977157,
      0.327445188163833,
      0.5415283410186,
      0.384171430444508,
      0.346473341215928,
      0.440143747316199,
      0.401428009661513,
      0.738723878864958,
      0.338359208151075,
      0.60885075091345,
      0.558183813634508,
      0.365206479977551,
      0.625873162279044,
      0.339265208321813,
      0.42209021202237,
      0.509751246883399,
      0.46802352782343,
      0.254709511987411,
      0.297318347008665,
      0.490586313351107,
      0.503856872107109,
      0.576201634714106,
      0.357038465572131,
      0.498599772841006,
      0.456650286698455,
      0.359850794599247,
      0.635796257497009,
      0.452465068554143,
      0.339717443693104,
      0.480293923237377,
      0.305465548790399,
      0.371874001354511,
      0.496313856450734,
      0.569820075066372,
      0.82649428850707,
      0.419726832162805,
      0.572369838481455,
      0.302655968600373,
      0.594955813446844,
      0.626258908861457,
      0.328499687541313,
      0.453519464591883,
      0.492215113001064,
      0.576552865823275,
      0.267570783368171,
      0.278892395958915,
      0.54148626107637,
      0.367716023565729,
      0.524141925751942,
      0.294665615876395,
      0.593123641188071,
      0.425529978616401,
      0.312356035990926,
      0.595876157173529,
      0.298508614136889,
      0.339473003871512,
      0.546366459641826,
      0.41744137046739,
      0.398478528131135,
      0.415829187847666,
      0.453188488071803,
      0.670167055104849,
      0.603947858941035,
      0.609388820272994,
      0.333997175711191,
      0.563385440128044,
      0.327293547428987,
      0.586944462087647,
      0.385971980742764,
      0.603352704708975,
      0.532233220734199,
      0.366951102808383,
      0.317357390067854,
      0.464955990973787,
      0.501311986327766,
      0.607865427158095,
      0.324936057934616,
      0.338442913340679,
      0.522816324899884,
      0.420025029317276,
      0.595692997817907,
      0.333053559875001,
      0.361183959920291,
      0.35651647587617,
      0.474193116995959,
      0.327645295236857,
      0.366255006318045,
      0.532877068651865,
      0.416254864905712,
      0.800837345812662,
      0.549657706361166,
      0.534940639257011,
      0.609056314324759,
      0.331748337619722,
      0.620668394257404,
      0.300978723280186,
      0.43713957839528,
      0.614490207218486,
      0.544478277243836,
      0.643994612450168,
      0.277894733438574,
      0.536069687923109,
      0.567360795927853,
      0.368535631713616,
      0.347907490131146,
      0.327263186213301,
      0.393578695015031,
      0.303804982504288,
      0.629724882413616,
      0.387145217481794,
      0.396258005128494,
      0.300157420360559,
      0.273210260341155,
      0.271172958697982,
      0.290714296900168,
      0.264033526063187,
      0.313457492946377,
      0.288899899076718,
      0.403873441274838,
      0.371351680971381,
      0.403560073846498,
      0.300418993911085,
      0.359417057041461,
      0.412035213959947,
      0.32182032343012,
      0.302110686126959,
      0.330561212019602,
      0.326077218018272,
      0.456383339481436,
      0.370298773025901,
      0.336043054552805,
      0.268834649059402,
      0.409830274590137,
      0.37202020641902,
      0.358873696687216,
      0.337427827740131,
      0.391136156914433,
      0.344046242072523,
      0.444128114341359,
      0.37269518026645,
      0.333428931147493,
      0.315594104079933,
      0.426688334432834,
      0.333295209523607,
      0.362592480579927,
      0.488358804582025,
      0.235851290804186,
      0.254300079936532,
      0.244340319778725,
      0.576433198404063,
      0.308452542646489,
      0.327637276073013,
      0.526942556720462,
      0.401179663597739,
      0.393925379175628,
      0.460129777088639,
      0.44454292005873,
      0.3432445116997,
      0.307622765868161,
      0.535943530768209,
      0.360217816020726,
      0.41099594686018,
      0.705507840850591,
      0.364899519613106,
      0.469448500169714,
      0.402039574244325,
      0.550013029724049,
      0.423296558814177,
      0.491076970437824,
      0.511779805984547,
      0.316691902808579,
      0.470345323771517,
      0.309644297866972,
      0.485705040052352,
      0.372077373963327,
      0.288168873754175,
      0.533728133416685,
      0.274256926566324,
      0.35216711288844,
      0.526364887572452,
      0.336695624344549,
      0.288818694708828,
      0.366079700782681,
      0.349290299863407,
      0.519301368310847,
      0.498239241155214,
      0.280280641361514,
      0.439703437350933,
      0.540052814871385,
      0.438661235402543,
      0.635322672135382,
      0.360122619452006,
      0.33252181490756,
      0.497564184635992,
      0.32148310518973,
      0.42212456215203,
      0.460531272647466,
      0.343030887788651,
      0.499955507561321,
      0.581473614902806,
      0.350310097756111,
      0.542635440323869,
      0.289807097988443,
      0.545439708851245,
      0.250621763886104,
      0.37723927666071,
      0.297944957857658,
      0.568857568725664,
      0.24575086589727,
      0.341794841155496,
      0.544636635061798,
      0.411617142706783,
      0.525018908123617,
      0.587898701249134,
      0.548876127237692,
      0.523413049895996,
      0.286745265492463,
      0.585614148943434,
      0.639306501793892,
      0.360550983343299,
      0.558590228164971,
      0.349549475931959,
      0.351084815120832,
      0.363339048199404,
      0.442879398256048,
      0.614544067891106,
      0.551870168864067,
      0.564560206295229,
      0.336513374378641,
      0.561747298565568,
      0.624886391767325,
      0.529773569572615,
      0.392906573344431,
      0.510297914109333,
      0.549205491657823,
      0.187856925887643,
      0.29313209546695,
      0.463620924201523,
      0.522199469322372,
      0.574650381205234,
      0.320508818118633,
      0.35195477039017,
      0.492524884206443,
      0.441955623649987,
      0.583290988910775,
      0.370778186748878,
      0.342393818957945,
      0.363024523365973,
      0.443750428258685,
      0.347632937109244,
      0.35860798954708,
      0.59869129704158,
      0.33462138907821,
      0.702811169660765,
      0.531860453623162,
      0.538748502005819,
      0.574031169481644,
      0.30085157406378,
      0.611265056597011,
      0.309830102719945,
      0.383069126103187,
      0.539344565627593,
      0.398582115886763,
      0.334826683806194,
      0.281314865481956,
      0.564433553109576,
      0.534880454192288,
      0.405323504510055,
      0.356632051041668,
      0.620546908058764,
      0.325692856188379,
      0.561699266254299,
      0.434639335383725,
      0.371587874281701,
      0.314800330867109,
      0.537745279807452,
      0.344637035367545,
      0.431512853546242,
      0.468099379192775,
      0.368482845774295,
      0.71333504079266,
      0.32062865088143,
      0.558587913354789,
      0.553156293935348,
      0.506751335559778,
      0.592766829732929,
      0.351808978684623,
      0.387305270071496,
      0.639142315614579,
      0.464228479202413,
      0.261366616718553,
      0.299608893019301,
      0.463131341848105,
      0.45056589080779,
      0.571948088333538,
      0.351304019377855,
      0.488277951569252,
      0.367038362885051,
      0.359931151581267,
      0.576226064228701,
      0.377677726510652,
      0.359430077848733,
      0.451761820953779,
      0.346403938246374,
      0.327716434314047,
      0.382030437705965,
      0.52998235718382,
      0.692091945083898,
      0.543905568403359,
      0.571459746057003,
      0.316565621645991,
      0.590584046403429,
      0.613023237601764,
      0.538205596346431,
      0.411532734806945,
      0.570109591682662,
      0.583856050610473,
      0.157062696021979,
      0.609743895620501,
      0.491827010272573,
      0.511753102995666,
      0.530886621246922,
      0.318087319989151,
      0.375408385814716,
      0.399218606014924,
      0.310331961834505,
      0.598082832650976,
      0.38938868190677,
      0.37394707921576,
      0.36353849389809,
      0.203163153518923,
      0.192967468734121,
      0.134976523710319,
      0.567575990602953,
      0.117342289412563,
      0.126070694561422,
      0.130522518901611,
      0.15057909871472,
      0.142703969801123,
      0.148274581171203,
      0.538527272289888,
      0.13688293523849,
      0.159953315236311,
      0.139971274377845,
      0.16646489694523,
      0.142676925791099,
      0.149754592263145,
      0.553168612032386,
      0.132492835725153,
      0.161493521726949,
      0.180469663887775,
      0.162741462764208,
      0.158140508844861,
      0.551559818956142,
      0.380408541150657,
      0.139987323039506,
      0.156460390679894,
      0.13639766215224,
      0.161746931437996,
      0.162130518219837,
      0.556942041979743,
      0.195394216522409,
      0.149310355387749,
      0.158264475197267,
      0.155453964949579,
      0.145871126160368,
      0.136017785267073,
      0.615022034857719,
      0.153604007921509,
      0.151310206709056,
      0.137208517424128,
      0.148404107201635,
      0.173408604111988,
      0.121342963448733,
      0.57505315817684,
      0.139582789292315,
      0.144854004766937,
      0.177787646273117,
      0.184389629586809,
      0.19292040781641,
      0.151775349213904,
      0.546900974114306,
      0.129396611763616,
      0.155727711921507,
      0.116755144010372,
      0.0117947291954187,
      0.00862961573366328,
      0.00450023528037547,
      0.00253327635251814,
      0.00173621209190357,
      0.00104691358032241,
      0.000672943247551651,
      0.000637976389551404,
      0.000394746006223872,
      0.000216459845961531,
      0.0000116504173652646,
      0.0000116504110850852,
      0.0000116504110850852
    ],
    "waveform_peaks_min": [
      0.0000116504110850852,
      0.0000116504110850852,
      0.0000116504075411638,
      -0.239299378536564,
      -0.153771348252156,
      -0.238664128485286,
      -0.233571442745924,
      -0.22027312693569,
      -0.209826905284621,
      -0.194926947508167,
      -0.224851904146779,
      -0.194611823304243,
      -0.220128389295493,
      -0.227112254285312,
      -0.167292598884036,
      -0.195317117031463,
      -0.1786993427528,
      -0.202222857177652,
      -0.231263225639706,
      -0.208843606988174,
      -0.216030906590654,
      -0.135869991059821,
      -0.219665633938644,
      -0.175433310930081,
      -0.226176347593745,
      -0.223858623231424,
      -0.169630061136745,
      -0.205207474219716,
      -0.203020433292918,
      -0.178728877250564,
      -0.632971333644813,
      -0.14755958613163,
      -0.200114147773964,
      -0.629143795009461,
      -0.459575847368222,
      -0.165737532138748,
      -0.214866309053909,
      -0.601059856511389,
      -0.107714717139053,
      -0.214599237829202,
      -0.588026276447732,
      -0.374545842294011,
      -0.189614168790016,
      -0.143681225012021,
      -0.582274551848886,
      -0.105951565492794,
      -0.19801738444425,
      -0.610423718391006,
      -0.26151169766915,
      -0.197034520174712,
      -0.175236304049265,
      -0.620559073435448,
      -0.1817657428653,
      -0.169871028743065,
      -0.623876981807774,
      -0.291231979618218,
      -0.469867038740965,
      -0.658970661566625,
      -0.461687078261572,
      -0.365402590091884,
      -0.386984268125608,
      -0.434306552707448,
      -0.46892697779184,
      -0.587105147339021,
      -0.382027184793404,
      -0.487730842271692,
      -0.339709850511452,
      -0.360484569181496,
      -0.555911261361907,
      -0.413855411432082,
      -0.332463605921133,
      -0.60838792550804,
      -0.342447588914055,
      -0.406433675294866,
      -0.700739840530383,
      -0.525961379177947,
      -0.613568057335603,
      -0.59078048720493,
      -0.367965705001408,
      -0.601528068206523,
      -0.636597855817427,
      -0.57099758202593,
      -0.53682143515283,
      -0.324117247791986,
      -0.383663011545698,
      -0.554688752234725,
      -0.363629404156847,
      -0.30153685317257,
      -0.614074256719254,
      -0.369637163296141,
      -0.59704378485392,
      -0.534632616782498,
      -0.464677771680363,
      -0.42942986769316,
      -0.394270091836444,
      -0.603518143588401,
      -0.335774218507796,
      -0.335461491785846,
      -0.518498017793358,
      -0.340370563474728,
      -0.27562561204535,
      -0.363754817265617,
      -0.62962945045275,
      -0.628555502536154,
      -0.548713896468726,
      -0.346502433642065,
      -0.658429492014873,
      -0.526212742762136,
      -0.370410516576292,
      -0.522862881742125,
      -0.403527596455393,
      -0.371986282271552,
      -0.68770167218226,
      -0.35186723358546,
      -0.345678030530231,
      -0.636600170627609,
      -0.523056623087149,
      -0.59249799368792,
      -0.31360664548274,
      -0.352407907106458,
      -0.529833271229815,
      -0.384047807402501,
      -0.51392378753084,
      -0.383490062156412,
      -0.447003782584532,
      -0.319336586064341,
      -0.613706615259333,
      -0.365818842565619,
      -0.409040647590153,
      -0.684702256889391,
      -0.336949687385216,
      -0.638892576753569,
      -0.594586696517895,
      -0.587778095727543,
      -0.623604495580677,
      -0.406728937600714,
      -0.492996291388808,
      -0.563521861208407,
      -0.328494388501895,
      -0.577011252198367,
      -0.398826547663638,
      -0.386378862591315,
      -0.29842041595784,
      -0.588070340512976,
      -0.594544864591041,
      -0.547717990723969,
      -0.389999308387202,
      -0.505518215730528,
      -0.417135704138955,
      -0.369841197279295,
      -0.616877491849228,
      -0.368385677705793,
      -0.307154649468049,
      -0.517498639833328,
      -0.245518364104934,
      -0.277203919898219,
      -0.572212195996957,
      -0.473817014300568,
      -0.637695737217866,
      -0.5569513138437,
      -0.288889970416937,
      -0.649306577073627,
      -0.521383552692468,
      -0.531873611061352,
      -0.527426654022929,
      -0.363056323293305,
      -0.416734539267297,
      -0.599542953132176,
      -0.356016654843749,
      -0.332375746473971,
      -0.697644029927808,
      -0.353728795666361,
      -0.60090802976501,
      -0.390731532450732,
      -0.574329792618307,
      -0.430822515368693,
      -0.40406554180725,
      -0.484318068017815,
      -0.325785316543239,
      -0.39529166717268,
      -0.548881678871,
      -0.332540263340452,
      -0.321356423291411,
      -0.354841640661187,
      -0.656215128060751,
      -0.64718323476272,
      -0.628920209147452,
      -0.319040083681609,
      -0.632526270051496,
      -0.660597394421777,
      -0.354993426071669,
      -0.479028230722,
      -0.408302305814,
      -0.434754964508349,
      -0.614242783167657,
      -0.32906159966819,
      -0.42575337042216,
      -0.511556398089353,
      -0.441522932112834,
      -0.638364386673193,
      -0.51770184709856,
      -0.291580110535179,
      -0.55008215596556,
      -0.343228279315763,
      -0.543064808899899,
      -0.365293297982593,
      -0.346998485063223,
      -0.319034069308727,
      -0.548194014903466,
      -0.298856054966847,
      -0.316513778387563,
      -0.632769449128257,
      -0.342688473848582,
      -0.589785449513991,
      -0.5548639337624,
      -0.700346240127711,
      -0.498995659341194,
      -0.358003340682147,
      -0.548374487425842,
      -0.490175364495303,
      -0.40442884299808,
      -0.634335707567413,
      -0.403214973073183,
      -0.338777064680041,
      -0.358408432463935,
      -0.629675291961525,
      -0.599756329027849,
      -0.437379091200518,
      -0.338862464641385,
      -0.590114400575162,
      -0.30190556936579,
      -0.383472659744154,
      -0.510436939351151,
      -0.402141810538613,
      -0.435562295895095,
      -0.547378705688774,
      -0.308015634847934,
      -0.376732469861849,
      -0.65605474478388,
      -0.53291382888673,
      -0.671006103747135,
      -0.588178557888968,
      -0.4102963907778,
      -0.665802245115209,
      -0.423535616924558,
      -0.531388244969336,
      -0.489626175779707,
      -0.450017376089763,
      -0.362219395404951,
      -0.634304705645338,
      -0.391881993111011,
      -0.398273018678952,
      -0.519135789334297,
      -0.341907287416121,
      -0.644472757383596,
      -0.533589794795667,
      -0.526268050191119,
      -0.387617699397457,
      -0.330580321826831,
      -0.561597427229537,
      -0.357775662566424,
      -0.328009601112424,
      -0.399437326864424,
      -0.348119886588543,
      -0.315987923785316,
      -0.301700295305753,
      -0.653893538792144,
      -0.367766465982202,
      -0.329067800052606,
      -0.343639344134538,
      -0.3897162815066,
      -0.338876126155047,
      -0.365947603881974,
      -0.527417353446306,
      -0.376214531083705,
      -0.294964507696382,
      -0.646007724549405,
      -0.354128265766279,
      -0.367030687031607,
      -0.653266969279048,
      -0.377426086198421,
      -0.640936843495235,
      -0.53687761063563,
      -0.67494078502518,
      -0.650380359646639,
      -0.490557638862443,
      -0.616304493657478,
      -0.395678447152495,
      -0.371375585742558,
      -0.51015399514234,
      -0.624761652656124,
      -0.229421876811998,
      -0.328910847655111,
      -0.650116967316684,
      -0.478033441046437,
      -0.625701300246288,
      -0.389656633808526,
      -0.566830799691278,
      -0.357449232994916,
      -0.35880062744614,
      -0.474129141652026,
      -0.412869178287012,
      -0.388079214677423,
      -0.615965497973555,
      -0.33461048902487,
      -0.429477651989053,
      -0.385648415971317,
      -0.577532787199472,
      -0.654354764720837,
      -0.521644134181488,
      -0.698499434961718,
      -0.365180740337511,
      -0.679399274778616,
      -0.621075896144397,
      -0.532377743650198,
      -0.328293578718637,
      -0.37243270994944,
      -0.648783305964887,
      -0.159936927842763,
      -0.627668392869934,
      -0.657486289537644,
      -0.6340315993798,
      -0.487567896169263,
      -0.368242820848868,
      -0.325596308158318,
      -0.369915601892277,
      -0.33887746957167,
      -0.545375154804766,
      -0.381516810484247,
      -0.394601647059069,
      -0.382918056026169,
      -0.640218012262042,
      -0.359955139024236,
      -0.371807049826058,
      -0.635848146669847,
      -0.408661308071636,
      -0.625163974932873,
      -0.650947033446285,
      -0.45166175937255,
      -0.672759820475108,
      -0.431167794108823,
      -0.60101955401269,
      -0.344312375194851,
      -0.374892443782816,
      -0.628499575068729,
      -0.484486759809803,
      -0.313105613086101,
      -0.290018895075347,
      -0.632390274953324,
      -0.610921650595436,
      -0.437243220110035,
      -0.447950994643682,
      -0.576292792988239,
      -0.365642544968749,
      -0.416053489043139,
      -0.424666980400838,
      -0.367060200861423,
      -0.40632549925477,
      -0.617280599508003,
      -0.343349228147754,
      -0.380480395561311,
      -0.500311463585876,
      -0.354192832435988,
      -0.602078414327209,
      -0.49166221667805,
      -0.688437161781582,
      -0.697257704642849,
      -0.47885532266861,
      -0.618932505923881,
      -0.407237038435586,
      -0.378601803091217,
      -0.599032620158916,
      -0.613686898036893,
      -0.625862014210328,
      -0.321583564040485,
      -0.658836485247882,
      -0.45430208973599,
      -0.462999616970462,
      -0.334731251845328,
      -0.340704702190859,
      -0.337297239599631,
      -0.315559291210699,
      -0.583329402581483,
      -0.351117152414814,
      -0.473099216464778,
      -0.640429610714182,
      -0.284177678261442,
      -0.391846320232676,
      -0.407783126958974,
      -0.674728318519222,
      -0.572279986866563,
      -0.4030038293159,
      -0.354490864246875,
      -0.582355694212932,
      -0.332605656728083,
      -0.606751933412161,
      -0.447320622228145,
      -0.380942034848965,
      -0.379125900917879,
      -0.596712642990257,
      -0.467096376297119,
      -0.433112524012679,
      -0.691521935699898,
      -0.404901477634097,
      -0.585147355291998,
      -0.485564965323697,
      -0.521015167186418,
      -0.600469207892004,
      -0.413769598111776,
      -0.471814868837029,
      -0.544583159035474,
      -0.433032043022971,
      -0.634608855168848,
      -0.456210444051277,
      -0.391237070460045,
      -0.358834440209151,
      -0.586756355047722,
      -0.362965218978299,
      -0.657791141771388,
      -0.396788522642283,
      -0.54864961915029,
      -0.340429467126672,
      -0.399685383576925,
      -0.518801175255361,
      -0.385181816376131,
      -0.282875060167617,
      -0.552619063916956,
      -0.304221061589722,
      -0.423001805162312,
      -0.270225552582581,
      -0.641468423119092,
      -0.733284996951034,
      -0.500535214791469,
      -0.345315907412439,
      -0.623039144529706,
      -0.562448119971292,
      -0.516922913472436,
      -0.503871972332417,
      -0.353950397405357,
      -0.389796473145035,
      -0.651353944007502,
      -0.356596018763498,
      -0.360110851344848,
      -0.674407303950103,
      -0.379703404722304,
      -0.602921997294835,
      -0.365807227178815,
      -0.578491159950569,
      -0.422046119244461,
      -0.376152857926723,
      -0.590172022814326,
      -0.373297746247143,
      -0.361467371447189,
      -0.598250048973935,
      -0.460046952576084,
      -0.447706038123389,
      -0.417959983243102,
      -0.718431190702577,
      -0.399270701867242,
      -0.57244677720733,
      -0.445057771267897,
      -0.616608147150235,
      -0.587262389087789,
      -0.40872604008493,
      -0.440416659525488,
      -0.543511732608541,
      -0.389400971291143,
      -0.643071925200635,
      -0.353149142395339,
      -0.366344387148645,
      -0.368421391920024,
      -0.476988552264801,
      -0.648251602333342,
      -0.519750454109317,
      -0.302467820224553,
      -0.559823621256058,
      -0.38870450277774,
      -0.536647741717414,
      -0.4893803098697,
      -0.368196235293963,
      -0.292831761469112,
      -0.52762403292681,
      -0.381204765804582,
      -0.39323227149304,
      -0.644491730559907,
      -0.345516841203385,
      -0.707139877323675,
      -0.462942904121012,
      -0.595100171019259,
      -0.568330796688985,
      -0.39769506017967,
      -0.472347936553145,
      -0.52799349316616,
      -0.363053677795954,
      -0.543019050062915,
      -0.415598504834758,
      -0.342978279816145,
      -0.341705878262369,
      -0.685361068401446,
      -0.341892757848641,
      -0.586099568994576,
      -0.386517420515045,
      -0.534748687978749,
      -0.341501885615112,
      -0.371194534517636,
      -0.535798289052542,
      -0.39699569815354,
      -0.381872505870195,
      -0.606123131760675,
      -0.342390111350526,
      -0.348196978034771,
      -0.373411957328069,
      -0.67845710569879,
      -0.576137494026588,
      -0.566253419894542,
      -0.310033797971212,
      -0.59860057737287,
      -0.61873777251735,
      -0.454837224246912,
      -0.507786026998308,
      -0.351004264082563,
      -0.394527077102503,
      -0.629814883282658,
      -0.284772274458905,
      -0.359741267097811,
      -0.599524434650723,
      -0.354220651494064,
      -0.620980740911573,
      -0.526018836073527,
      -0.493383526063481,
      -0.456264428731585,
      -0.359370732125163,
      -0.495167583339192,
      -0.304062931119188,
      -0.294482014449145,
      -0.489964675432877,
      -0.447454963890472,
      -0.374032533136231,
      -0.319869364429184,
      -0.595876707163409,
      -0.376862553926878,
      -0.67204623890072,
      -0.457619088718601,
      -0.594632744706151,
      -0.553462026846141,
      -0.3496076894969,
      -0.50294179066246,
      -0.499098875073758,
      -0.355838745146931,
      -0.548548718227908,
      -0.349572926008279,
      -0.392819119211513,
      -0.660071271136206,
      -0.623547782731227,
      -0.569893624248766,
      -0.344313842619163,
      -0.374271165264421,
      -0.551479887956313,
      -0.422052981003214,
      -0.579356444263648,
      -0.341746449444392,
      -0.413141829857693,
      -0.423970222536163,
      -0.586423105053357,
      -0.37037046209297,
      -0.377105071629302,
      -0.673901269910037,
      -0.399046041271934,
      -0.570129114848852,
      -0.574762662122275,
      -0.582358133030802,
      -0.586930709857476,
      -0.320095182429583,
      -0.477370702624253,
      -0.513669406426235,
      -0.324484496560894,
      -0.614996253881783,
      -0.425541193267475,
      -0.359265614941378,
      -0.334294930794036,
      -0.52628404718291,
      -0.484369779223838,
      -0.612570746170379,
      -0.365084758386765,
      -0.500349657953873,
      -0.3201564835635,
      -0.338993272084597,
      -0.552904694959013,
      -0.312108880623422,
      -0.328650534849416,
      -0.352945191083977,
      -0.366567146292733,
      -0.361668346574031,
      -0.56064827238327,
      -0.474319038758713,
      -0.40076962413165,
      -0.391418121684967,
      -0.426610676907291,
      -0.347667713221096,
      -0.333308532305382,
      -0.499563655889516,
      -0.322500869578807,
      -0.369847769686775,
      -0.275875074178318,
      -0.640712761602473,
      -0.333042618485765,
      -0.404034498549278,
      -0.657439662646842,
      -0.391191683646127,
      -0.679889146483307,
      -0.456604912507767,
      -0.606341302620295,
      -0.675394818507952,
      -0.401101303361963,
      -0.623609703903586,
      -0.411718097588292,
      -0.411376332399331,
      -0.467779906675042,
      -0.557782454706599,
      -0.323211826323793,
      -0.326379644057376,
      -0.653832361665915,
      -0.646716015129092,
      -0.597017081865039,
      -0.335023372623073,
      -0.55073646186494,
      -0.318899665642555,
      -0.346141261249884,
      -0.427462155031072,
      -0.391982149987263,
      -0.343604063947216,
      -0.618188046435105,
      -0.299940915560013,
      -0.454512696126624,
      -0.530417802136577,
      -0.498066221717367,
      -0.710737175017745,
      -0.484918389236888,
      -0.760114060315277,
      -0.38768805309262,
      -0.654053591381847,
      -0.634471950680962,
      -0.447370514654738,
      -0.322273501482304,
      -0.560645626885919,
      -0.592702689045411,
      -0.284223478434322,
      -0.31167107147987,
      -0.638736740425269,
      -0.441261689249477,
      -0.677113895754993,
      -0.318629101534627,
      -0.648109076163586,
      -0.360529914659518,
      -0.343346913337572,
      -0.55755399120885,
      -0.337638591429632,
      -0.409188423418714,
      -0.623148477974893,
      -0.393903442438029,
      -0.336136444965328,
      -0.355917696708484,
      -0.631210052447853,
      -0.711877053688622,
      -0.554841323027233,
      -0.625811667088877,
      -0.379943979637611,
      -0.650931036454494,
      -0.38549138090203,
      -0.586595599747786,
      -0.372542828776653,
      -0.38016194381775,
      -0.572397091460216,
      -0.291387671270881,
      -0.309758025540376,
      -0.660336316902004,
      -0.633365802101304,
      -0.614672056448664,
      -0.336521282158027,
      -0.397292861910609,
      -0.562792117298643,
      -0.371619219514176,
      -0.429169286204141,
      -0.384445334715303,
      -0.358078985372012,
      -0.376316424067594,
      -0.620467845112754,
      -0.360178848893934,
      -0.390645057756089,
      -0.544465930434132,
      -0.333062025688985,
      -0.650722786209938,
      -0.683146125744779,
      -0.478845112702273,
      -0.673141226788431,
      -0.426997167535834,
      -0.64697407512845,
      -0.426967612370122,
      -0.325482076409443,
      -0.552472528165279,
      -0.721295685630573,
      -0.623836224614218,
      -0.254835330410424,
      -0.563271861708789,
      -0.508399327688756,
      -0.363522633537218,
      -0.373729417010123,
      -0.325115137659756,
      -0.334350031543538,
      -0.324913976521381,
      -0.532255472069532,
      -0.345492018997777,
      -0.353842676060118,
      -0.30109404238559,
      -0.311270609318445,
      -0.290944261113408,
      -0.310296508258881,
      -0.311498308102117,
      -0.244018429111071,
      -0.286006295633151,
      -0.388030727671296,
      -0.357626605325084,
      -0.425776146500912,
      -0.322580172495477,
      -0.361565337520948,
      -0.393930021419222,
      -0.38660790479161,
      -0.379530662012498,
      -0.38676543589165,
      -0.462706545467107,
      -0.43682527286456,
      -0.393466935375205,
      -0.369152375906671,
      -0.352011495862852,
      -0.376424889458962,
      -0.383333233766606,
      -0.424134822074436,
      -0.373356195204229,
      -0.393096772425622,
      -0.400058729390508,
      -0.58810560003235,
      -0.330705610927913,
      -0.388044947219555,
      -0.314140705260362,
      -0.572688178840558,
      -0.349401588718941,
      -0.340996802300656,
      -0.57657784532775,
      -0.274299639170227,
      -0.239150775990081,
      -0.577961151090765,
      -0.559811055143643,
      -0.343617746128825,
      -0.372001204530044,
      -0.539164312407928,
      -0.301461043139121,
      -0.275509540849098,
      -0.61445934192733,
      -0.409245632298917,
      -0.336186957430363,
      -0.351398691203157,
      -0.552558961524026,
      -0.436888062090737,
      -0.434181511621743,
      -0.536009639489305,
      -0.326473166522305,
      -0.474753107003668,
      -0.434391291294454,
      -0.588735269737654,
      -0.42401031835538,
      -0.410501168807084,
      -0.645710767471816,
      -0.445133994660307,
      -0.66308461662606,
      -0.312578125715959,
      -0.535115130697683,
      -0.351597558199298,
      -0.299046241424807,
      -0.563696050674576,
      -0.261079716886948,
      -0.340854317466796,
      -0.599394143906213,
      -0.367568549711671,
      -0.300000625261931,
      -0.320563662808042,
      -0.660992028221851,
      -0.577647287631671,
      -0.576453878975344,
      -0.378212666965323,
      -0.557557918118979,
      -0.578002735002242,
      -0.371544566885818,
      -0.525423805849156,
      -0.309032394552274,
      -0.319872671300872,
      -0.597823917221031,
      -0.270987249140031,
      -0.339804840400692,
      -0.528958645004218,
      -0.312152676005341,
      -0.611588067912374,
      -0.517272780497033,
      -0.282494935267074,
      -0.464221712738683,
      -0.331536297095955,
      -0.535868436068225,
      -0.288123189544267,
      -0.242601083237618,
      -0.251819876789869,
      -0.483190631451665,
      -0.276916697424163,
      -0.311727763661373,
      -0.538190314688105,
      -0.323631220325632,
      -0.639837639346122,
      -0.538240165778802,
      -0.614118031433225,
      -0.524595021132334,
      -0.305947558630113,
      -0.516619549330952,
      -0.525535826127589,
      -0.276822017554144,
      -0.613300035385286,
      -0.358611143698414,
      -0.363297146223988,
      -0.330763171163233,
      -0.622640377140021,
      -0.666637478231822,
      -0.564517808289061,
      -0.65795925486083,
      -0.330656090524384,
      -0.668359903686448,
      -0.624325972311221,
      -0.521292489713358,
      -0.341324430613151,
      -0.361768090091323,
      -0.577373519991795,
      -0.202116727264413,
      -0.316686810448641,
      -0.61246228077901,
      -0.554368729727112,
      -0.573390641058896,
      -0.312886202149598,
      -0.403698685729355,
      -0.579011785561959,
      -0.343639943505031,
      -0.468540487163298,
      -0.354783274375893,
      -0.414598548172182,
      -0.374370784774024,
      -0.611920904547778,
      -0.369634972493648,
      -0.372446929497699,
      -0.509500805312155,
      -0.344573473382572,
      -0.656562184244414,
      -0.702635918084528,
      -0.440765575824475,
      -0.645006403802258,
      -0.436476232557884,
      -0.582173940277777,
      -0.3125193874076,
      -0.30466887402013,
      -0.548856050615417,
      -0.474236821661368,
      -0.301803883061382,
      -0.24312921131415,
      -0.67021042908309,
      -0.735263994312757,
      -0.397113422785635,
      -0.372821970083022,
      -0.628149005333898,
      -0.332423696113448,
      -0.530011263598426,
      -0.480575929343807,
      -0.36985640888906,
      -0.314637025364845,
      -0.603622723405536,
      -0.301920987655035,
      -0.381555831570166,
      -0.57609963034576,
      -0.399615939271476,
      -0.60895042438218,
      -0.549216086270455,
      -0.644473005398973,
      -0.646193653410066,
      -0.454745293213983,
      -0.605714609099511,
      -0.37223330558665,
      -0.369747364795146,
      -0.636967646743945,
      -0.512104140048585,
      -0.309662002253734,
      -0.29906889349587,
      -0.642165594342729,
      -0.526625977715456,
      -0.592240553727004,
      -0.321912432429864,
      -0.554903946909826,
      -0.32881036009169,
      -0.323144717496474,
      -0.434400591871077,
      -0.37668199873271,
      -0.389558337047599,
      -0.578613555538924,
      -0.311056179357422,
      -0.367261630683123,
      -0.345158355644451,
      -0.567003046370331,
      -0.624895911646659,
      -0.489279532955006,
      -0.709911531829028,
      -0.377453946592393,
      -0.667501522468018,
      -0.609932027906886,
      -0.551787716374576,
      -0.31957108460292,
      -0.338925005852186,
      -0.647156779789215,
      -0.200024014852517,
      -0.608576334522467,
      -0.589129862201832,
      -0.57283392921021,
      -0.47484160715722,
      -0.307250879434172,
      -0.367286349548991,
      -0.33981366561451,
      -0.32251440708478,
      -0.52802466043182,
      -0.315847154391145,
      -0.352263851508547,
      -0.394243016824498,
      -0.187966354627853,
      -0.158305327685845,
      -0.136961496398286,
      -0.562542076463129,
      -0.147973379119547,
      -0.147956772423288,
      -0.145459825949448,
      -0.154262821722821,
      -0.139795010072154,
      -0.147260396915652,
      -0.523995402623495,
      -0.149029738612352,
      -0.133660411735674,
      -0.136961083039325,
      -0.162706215868064,
      -0.160882724147472,
      -0.151365826446516,
      -0.545492176726628,
      -0.13598900743867,
      -0.165492544616533,
      -0.150458699872609,
      -0.153137327943787,
      -0.171894730876422,
      -0.540067873760796,
      -0.414498432631826,
      -0.153223792304456,
      -0.172240505647305,
      -0.138746225382309,
      -0.161203511369163,
      -0.167003237277356,
      -0.542312040896007,
      -0.206156381050607,
      -0.147680131938634,
      -0.155838835433457,
      -0.149169071584133,
      -0.163725610735781,
      -0.117736160787816,
      -0.536988845532038,
      -0.144697685031115,
      -0.162571750198048,
      -0.133496938600569,
      -0.152940362398867,
      -0.156576040472467,
      -0.143231407790652,
      -0.563812948588749,
      -0.118748239201923,
      -0.171305498011478,
      -0.153695476214863,
      -0.175478656408104,
      -0.158294508015041,
      -0.150738047858459,
      -0.539142197703514,
      -0.140163612591659,
      -0.146737446160106,
      -0.111805503428724,
      -0.0125410381713084,
      -0.00704581443348875,
      -0.00466603132777893,
      -0.00232717382710748,
      -0.00147281849890219,
      -0.00112258590997363,
      -0.00064351135125308,
      -0.000646527337719171,
      -0.000588179015778086,
      -0.000230163511376988,
      0.0000116504073348418,
      0.0000116504110850852,
      0.0000116504110850852
    ],
    "waveform_rms_envelope": [
      0.00000823808477434795,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000226802530960413,
      0.0614613182842731,
      0.0779916420578957,
      0.071867972612381,
      0.0767889842391014,
      0.0594877190887928,
      0.0323550999164581,
      0.0275759436190128,
      0.0517581403255463,
      0.0754665434360504,
      0.0797382295131683,
      0.0855982527136803,
      0.0707468315958977,
      0.042378555983305,
      0.028339235112071,
      0.0573138482868671,
      0.0832732766866684,
      0.0772311091423035,
      0.0777183547616005,
      0.073099859058857,
      0.0451903119683266,
      0.0240708291530609,
      0.0582805722951889,
      0.085834264755249,
      0.0805465579032898,
      0.0750904455780983,
      0.0791763961315155,
      0.0577602349221706,
      0.0237149782478809,
      0.0506115071475506,
      0.080920085310936,
      0.0811947137117386,
      0.0718492567539215,
      0.0639765858650208,
      0.0477570444345474,
      0.0328800342977047,
      0.0535720810294151,
      0.0816513895988464,
      0.0809467732906342,
      0.0815545320510864,
      0.073384091258049,
      0.0399364046752453,
      0.0295099224895239,
      0.0540422014892101,
      0.0801839977502823,
      0.0806488841772079,
      0.0747585073113441,
      0.0681913048028946,
      0.0432201847434044,
      0.0284883081912994,
      0.0477755814790726,
      0.0722529962658882,
      0.0795108154416084,
      0.0767959281802177,
      0.0669707208871841,
      0.0436091236770153,
      0.0320701748132706,
      0.060323603451252,
      0.079384945333004,
      0.0781916230916977,
      0.0737889111042023,
      0.0646553263068199,
      0.044139564037323,
      0.0405447408556938,
      0.0598163083195686,
      0.0767962038516998,
      0.0850272476673126,
      0.0800677761435509,
      0.0567003488540649,
      0.0379178561270237,
      0.0290570668876171,
      0.0618964806199074,
      0.076514333486557,
      0.0712519884109497,
      0.0660847499966621,
      0.0482763200998306,
      0.0362334959208965,
      0.0351042933762074,
      0.064735472202301,
      0.0812891274690628,
      0.0756193622946739,
      0.0705822110176086,
      0.0502205491065979,
      0.0293239820748568,
      0.0315401665866375,
      0.0605088546872139,
      0.0828886330127716,
      0.080755390226841,
      0.0696437507867813,
      0.0539001487195492,
      0.0425635911524296,
      0.0409243181347847,
      0.0529969483613968,
      0.0690951496362686,
      0.0633960217237473,
      0.0633772239089012,
      0.0535946935415268,
      0.0292724408209324,
      0.0303038470447063,
      0.0539634972810745,
      0.071456104516983,
      0.063308946788311,
      0.0624417923390865,
      0.0578570924699306,
      0.0426913350820541,
      0.0290834102779627,
      0.0559751726686954,
      0.0642870664596558,
      0.0562337674200535,
      0.0545223504304886,
      0.0453579910099506,
      0.035334300249815,
      0.0613359622657299,
      0.203372359275818,
      0.206534549593925,
      0.11188143491745,
      0.0478013604879379,
      0.0399917475879192,
      0.0316144749522209,
      0.0287143737077713,
      0.053198765963316,
      0.0671715289354324,
      0.0604066550731659,
      0.0592355169355869,
      0.0630871653556824,
      0.0511169619858265,
      0.0868720039725304,
      0.21121121942997,
      0.202639609575272,
      0.103634566068649,
      0.0425100587308407,
      0.0457134321331978,
      0.0482701621949673,
      0.0364211462438107,
      0.0530417859554291,
      0.0670817717909813,
      0.0642459392547607,
      0.0593383610248566,
      0.0597332045435905,
      0.0587602593004704,
      0.108982302248478,
      0.208846613764763,
      0.199021831154823,
      0.0947628542780876,
      0.037117812782526,
      0.0259720142930746,
      0.0330409668385983,
      0.0388461053371429,
      0.0530669130384922,
      0.0617038905620575,
      0.061516385525465,
      0.0520279034972191,
      0.0442324317991734,
      0.041949387639761,
      0.11051569879055,
      0.210044354200363,
      0.196941614151001,
      0.0905124545097351,
      0.0438898466527462,
      0.0444853939116001,
      0.0342819876968861,
      0.0313552804291248,
      0.0557475015521049,
      0.0619353763759136,
      0.0529319196939468,
      0.0496564097702503,
      0.0466393046081066,
      0.0381180606782436,
      0.123159356415272,
      0.212420836091042,
      0.194528803229332,
      0.0891051739454269,
      0.0388021394610405,
      0.0354666821658611,
      0.0298792812973261,
      0.0318267196416855,
      0.049297459423542,
      0.0612026751041412,
      0.0553659088909626,
      0.0586227849125862,
      0.0671682432293892,
      0.0521764419972897,
      0.127549037337303,
      0.217762321233749,
      0.193118184804916,
      0.0870072394609451,
      0.0413832478225231,
      0.0457376129925251,
      0.0513166859745979,
      0.0506062172353268,
      0.0551184043288231,
      0.058796864002943,
      0.0615307576954365,
      0.0570068359375,
      0.0593143813312054,
      0.0572147332131863,
      0.132985576987267,
      0.216595783829689,
      0.185164898633957,
      0.0803505629301071,
      0.0299164317548275,
      0.0278477538377047,
      0.0374196171760559,
      0.0415089726448059,
      0.0576992630958557,
      0.0608653351664543,
      0.0549656301736832,
      0.0510106235742569,
      0.0488196276128292,
      0.043658658862114,
      0.134486064314842,
      0.219824731349945,
      0.184046193957329,
      0.0782213062047958,
      0.0643503442406654,
      0.060927726328373,
      0.0488598681986332,
      0.108059577643871,
      0.132113933563232,
      0.113964922726154,
      0.100947961211205,
      0.0779573172330856,
      0.0629475489258766,
      0.0908799469470978,
      0.163787186145782,
      0.218850180506706,
      0.185068801045418,
      0.110948510468006,
      0.115460738539696,
      0.12923975288868,
      0.133323609828949,
      0.13217157125473,
      0.127243474125862,
      0.122509635984898,
      0.123331569135189,
      0.120595820248127,
      0.112520612776279,
      0.121310509741306,
      0.1445022970438,
      0.135743588209152,
      0.089804045855999,
      0.0734545290470123,
      0.101565703749657,
      0.122544184327126,
      0.127406686544418,
      0.172385439276695,
      0.219633430242538,
      0.171046525239944,
      0.10498470813036,
      0.117040082812309,
      0.124797187745571,
      0.113797828555107,
      0.121075361967087,
      0.127593323588371,
      0.130130454897881,
      0.134040296077728,
      0.202490538358688,
      0.204704791307449,
      0.124321289360523,
      0.105963863432407,
      0.129078075289726,
      0.130387768149376,
      0.122426696121693,
      0.113718949258327,
      0.0972792506217957,
      0.0849036872386932,
      0.131209313869476,
      0.144425064325333,
      0.110001400113106,
      0.119296483695507,
      0.134740665555,
      0.128776833415031,
      0.117447771131992,
      0.132429823279381,
      0.130664229393005,
      0.116252474486828,
      0.126777797937393,
      0.129146128892899,
      0.114522278308868,
      0.113367155194283,
      0.180054873228073,
      0.225697308778763,
      0.162514761090279,
      0.0783845409750938,
      0.117026805877686,
      0.150579124689102,
      0.131861746311188,
      0.115272969007492,
      0.11612793803215,
      0.12325306981802,
      0.117965035140514,
      0.133540064096451,
      0.136994749307632,
      0.127287775278091,
      0.152616560459137,
      0.144132286310196,
      0.105154365301132,
      0.107659339904785,
      0.118311263620853,
      0.126632198691368,
      0.122282534837723,
      0.182536572217941,
      0.220951899886131,
      0.153304040431976,
      0.105128854513168,
      0.19770772755146,
      0.192259401082993,
      0.105280935764313,
      0.105402380228043,
      0.126446709036827,
      0.123801976442337,
      0.145286738872528,
      0.212513849139214,
      0.198820546269417,
      0.111620515584946,
      0.165156245231628,
      0.21270589530468,
      0.159765973687172,
      0.126355871558189,
      0.12241143733263,
      0.131517142057419,
      0.145562902092934,
      0.151969075202942,
      0.138253346085548,
      0.0905562564730644,
      0.126482620835304,
      0.204277157783508,
      0.184827238321304,
      0.0944580361247063,
      0.0788595080375671,
      0.11370213329792,
      0.107957363128662,
      0.107819408178329,
      0.118972733616829,
      0.0925267115235329,
      0.0953454896807671,
      0.18234395980835,
      0.220370307564735,
      0.150070026516914,
      0.109217539429665,
      0.112812422215939,
      0.112347103655338,
      0.118571706116199,
      0.125721216201782,
      0.118295781314373,
      0.107930608093739,
      0.114605575799942,
      0.113099813461304,
      0.107828050851822,
      0.116675034165382,
      0.143237009644508,
      0.134674280881882,
      0.0992487072944641,
      0.103917315602303,
      0.108705870807171,
      0.10719358921051,
      0.101689770817757,
      0.184849590063095,
      0.22056882083416,
      0.143433228135109,
      0.138980969786644,
      0.207513138651848,
      0.190814793109894,
      0.123388297855854,
      0.104025065898895,
      0.0888228043913841,
      0.0822629034519196,
      0.147735223174095,
      0.221724718809128,
      0.195260733366013,
      0.126107275485992,
      0.113830335438251,
      0.107870869338512,
      0.113309130072594,
      0.110607273876667,
      0.102312579751015,
      0.0954369828104973,
      0.106645651161671,
      0.148865520954132,
      0.134585455060005,
      0.087951123714447,
      0.094173863530159,
      0.0936296358704567,
      0.0982042029500008,
      0.108922444283962,
      0.111819460988045,
      0.107930608093739,
      0.0961030051112175,
      0.0976225733757019,
      0.102262407541275,
      0.0924984589219093,
      0.113664507865906,
      0.201275050640106,
      0.217967018485069,
      0.133392721414566,
      0.0895956084132195,
      0.0892985463142395,
      0.0965896397829056,
      0.106215134263039,
      0.11066473275423,
      0.111200265586376,
      0.113951742649078,
      0.118593759834766,
      0.127745047211647,
      0.135128229856491,
      0.136036157608032,
      0.146462664008141,
      0.134990558028221,
      0.0935012623667717,
      0.101145043969154,
      0.11647517234087,
      0.113072417676449,
      0.121065817773342,
      0.199360117316246,
      0.209073096513748,
      0.135109692811966,
      0.159133613109589,
      0.212269589304924,
      0.16441747546196,
      0.0939891785383224,
      0.105089150369167,
      0.0968086943030357,
      0.0847160965204239,
      0.160478591918945,
      0.222148448228836,
      0.170648604631424,
      0.103015758097172,
      0.190915822982788,
      0.200361996889114,
      0.116030529141426,
      0.114942133426666,
      0.141103208065033,
      0.138373494148254,
      0.12603186070919,
      0.141705960035324,
      0.122623406350613,
      0.0839032903313637,
      0.152793109416962,
      0.2182227820158,
      0.164071276783943,
      0.0765890255570412,
      0.0944892689585686,
      0.116477757692337,
      0.118017643690109,
      0.107712164521217,
      0.0978472381830215,
      0.105899281799793,
      0.131200015544891,
      0.200130358338356,
      0.191858842968941,
      0.128067642450333,
      0.10827673971653,
      0.128568142652512,
      0.136933445930481,
      0.133806630969048,
      0.128339722752571,
      0.129031851887703,
      0.130369633436203,
      0.124483734369278,
      0.112995035946369,
      0.116709843277931,
      0.130251258611679,
      0.140732496976852,
      0.104843325912952,
      0.0759307816624641,
      0.0993573218584061,
      0.120256192982197,
      0.121335215866566,
      0.144703850150108,
      0.21145786345005,
      0.191880837082863,
      0.110602453351021,
      0.106202274560928,
      0.123613983392715,
      0.113462120294571,
      0.1113371104002,
      0.125261917710304,
      0.131575882434845,
      0.126081928610802,
      0.180504783987999,
      0.218997403979301,
      0.149664014577866,
      0.100137151777744,
      0.125261932611465,
      0.134963005781174,
      0.121988371014595,
      0.110086761415005,
      0.0992951020598412,
      0.0853137224912643,
      0.111092090606689,
      0.142057076096535,
      0.116720415651798,
      0.108824826776981,
      0.134077802300453,
      0.135532602667809,
      0.119198836386204,
      0.128539517521858,
      0.136023640632629,
      0.119366154074669,
      0.118399791419506,
      0.130330413579941,
      0.118479885160923,
      0.111008957028389,
      0.166272819042206,
      0.223985001444817,
      0.19054114818573,
      0.0966726019978523,
      0.0967519357800484,
      0.14473694562912,
      0.142713293433189,
      0.120020411908627,
      0.114088244736195,
      0.124172940850258,
      0.122797407209873,
      0.123512990772724,
      0.130596294999123,
      0.129685446619987,
      0.148606911301613,
      0.144820332527161,
      0.108213365077972,
      0.100815862417221,
      0.111071363091469,
      0.125602960586548,
      0.130721300840378,
      0.159932479262352,
      0.215807437896729,
      0.187359198927879,
      0.099859319627285,
      0.174327239394188,
      0.218567788600922,
      0.137788161635399,
      0.0966664999723434,
      0.123252108693123,
      0.122274346649647,
      0.118348680436611,
      0.192734450101852,
      0.222788035869598,
      0.140531182289124,
      0.141104400157928,
      0.206069618463516,
      0.182303801178932,
      0.122364744544029,
      0.120930999517441,
      0.125055208802223,
      0.141170650720596,
      0.15210485458374,
      0.141973987221718,
      0.105084732174873,
      0.0830698683857918,
      0.190273195505142,
      0.222300171852112,
      0.13098032772541,
      0.0720266550779343,
      0.10673750191927,
      0.117456085979939,
      0.0960359647870064,
      0.120164662599564,
      0.104599088430405,
      0.0889864712953568,
      0.153773754835129,
      0.213654920458794,
      0.181104242801666,
      0.113385006785393,
      0.114857107400894,
      0.108753144741058,
      0.116870313882828,
      0.126356318593025,
      0.12474063038826,
      0.110804423689842,
      0.111768767237663,
      0.114505492150784,
      0.110173106193542,
      0.109871953725815,
      0.136284589767456,
      0.138392746448517,
      0.10506497323513,
      0.0973831936717033,
      0.109350107610226,
      0.111324585974216,
      0.100258909165859,
      0.153070703148842,
      0.215365752577782,
      0.171209171414375,
      0.10368512570858,
      0.190660193562508,
      0.209880366921425,
      0.139210492372513,
      0.104239650070667,
      0.08956378698349,
      0.0840381234884262,
      0.0895643010735512,
      0.201367020606995,
      0.217855349183083,
      0.14136229455471,
      0.111711651086807,
      0.110575668513775,
      0.112706497311592,
      0.111200764775276,
      0.100710697472095,
      0.0972308441996574,
      0.104063846170902,
      0.146958827972412,
      0.145247578620911,
      0.0927536711096764,
      0.0915523394942284,
      0.0975660160183907,
      0.0943038761615753,
      0.107552535831928,
      0.115275174379349,
      0.111723981797695,
      0.0991423726081848,
      0.0956650972366333,
      0.10295993834734,
      0.0968408510088921,
      0.101904310286045,
      0.174049913883209,
      0.217474639415741,
      0.159596040844917,
      0.0933035686612129,
      0.0894204154610634,
      0.0949381291866302,
      0.104695655405521,
      0.109669215977192,
      0.108943611383438,
      0.110776588320732,
      0.117745973169804,
      0.128843575716019,
      0.137392431497574,
      0.137684687972069,
      0.149137541651726,
      0.143400609493256,
      0.104720070958138,
      0.0962582305073738,
      0.114578977227211,
      0.115816950798035,
      0.11981538683176,
      0.178550213575363,
      0.213798522949219,
      0.155067622661591,
      0.127741560339928,
      0.202476397156715,
      0.189260065555573,
      0.103927925229073,
      0.0959170311689377,
      0.10070763528347,
      0.0916390046477318,
      0.135797590017319,
      0.207082033157349,
      0.19343027472496,
      0.115133836865425,
      0.16737125813961,
      0.215816587209702,
      0.147152006626129,
      0.107116296887398,
      0.138117656111717,
      0.142260938882828,
      0.133906990289688,
      0.142501175403595,
      0.131927520036697,
      0.0895795673131943,
      0.12791034579277,
      0.207778409123421,
      0.193118914961815,
      0.090439647436142,
      0.0668453723192215,
      0.0989539548754692,
      0.116611637175083,
      0.115954048931599,
      0.104761146008968,
      0.113915756344795,
      0.104936346411705,
      0.170622318983078,
      0.215150594711304,
      0.160292938351631,
      0.145556882023811,
      0.16142213344574,
      0.139793127775192,
      0.107971020042896,
      0.127880185842514,
      0.127811670303345,
      0.115284472703934,
      0.123236574232578,
      0.129545360803604,
      0.133544996380806,
      0.122125193476677,
      0.144728049635887,
      0.135512143373489,
      0.0844047963619232,
      0.102296188473701,
      0.107352837920189,
      0.075469046831131,
      0.0841172337532043,
      0.186131939291954,
      0.215225875377655,
      0.13653165102005,
      0.102589465677738,
      0.122844658792019,
      0.122809521853924,
      0.123160488903522,
      0.113560765981674,
      0.106091372668743,
      0.11044380068779,
      0.15992996096611,
      0.223379209637642,
      0.198396623134613,
      0.13261467218399,
      0.112526118755341,
      0.115464679896832,
      0.116892851889133,
      0.1388089209795,
      0.141107946634293,
      0.106614604592323,
      0.0937959402799606,
      0.137195870280266,
      0.132459491491318,
      0.091502770781517,
      0.104369610548019,
      0.112368546426296,
      0.114709906280041,
      0.12583164870739,
      0.130460411310196,
      0.127225250005722,
      0.118102446198463,
      0.12429241836071,
      0.125219732522964,
      0.111518874764442,
      0.111001580953598,
      0.202233538031578,
      0.21508777141571,
      0.129393547773361,
      0.102786995470524,
      0.113279648125172,
      0.0959123820066452,
      0.0902977511286736,
      0.106037057936192,
      0.099110946059227,
      0.11063726991415,
      0.127357140183449,
      0.119485720992088,
      0.123342417180538,
      0.127307817339897,
      0.151220053434372,
      0.137289673089981,
      0.099372535943985,
      0.101232916116714,
      0.106669239699841,
      0.113889016211033,
      0.116838611662388,
      0.201587021350861,
      0.205992504954338,
      0.115087360143661,
      0.152865529060364,
      0.217931106686592,
      0.165135115385056,
      0.0892071202397346,
      0.0934102907776833,
      0.100022301077843,
      0.113557450473309,
      0.178487777709961,
      0.225024819374084,
      0.174859493970871,
      0.119962505996227,
      0.192514583468437,
      0.19573700428009,
      0.122007511556149,
      0.0923665687441826,
      0.1257384121418,
      0.143116340041161,
      0.13671287894249,
      0.151850819587708,
      0.125429049134254,
      0.0874079093337059,
      0.150769934058189,
      0.210574775934219,
      0.167686432600021,
      0.109543010592461,
      0.107759118080139,
      0.113589629530907,
      0.125686421990395,
      0.118908725678921,
      0.109334662556648,
      0.105082295835018,
      0.122657977044582,
      0.195768222212791,
      0.184804633259773,
      0.119454748928547,
      0.105513043701649,
      0.10898956656456,
      0.113488510251045,
      0.112945750355721,
      0.130116537213326,
      0.133505180478096,
      0.117064721882343,
      0.128818616271019,
      0.124143481254578,
      0.127722337841988,
      0.119909085333347,
      0.132342606782913,
      0.113683208823204,
      0.100624203681946,
      0.109108172357082,
      0.120468392968178,
      0.111319549381733,
      0.125083416700363,
      0.200829312205315,
      0.187117859721184,
      0.112777762115002,
      0.174328699707985,
      0.220320791006088,
      0.157214045524597,
      0.0994410589337349,
      0.0978193655610085,
      0.0935669392347336,
      0.0912792459130287,
      0.174527540802956,
      0.224376514554024,
      0.162547737360001,
      0.0962219834327698,
      0.100172579288483,
      0.111438229680061,
      0.103413507342339,
      0.0919195115566254,
      0.0801286175847054,
      0.0790622159838676,
      0.126042678952217,
      0.151848509907722,
      0.115547582507133,
      0.0953296571969986,
      0.106441155076027,
      0.116483323276043,
      0.111840799450874,
      0.111693054437637,
      0.124517247080803,
      0.115184783935547,
      0.0964714884757996,
      0.107830785214901,
      0.099448025226593,
      0.0859116688370705,
      0.145260646939278,
      0.213090404868126,
      0.183615252375603,
      0.103178590536118,
      0.102471634745598,
      0.101317182183266,
      0.0710000544786453,
      0.0833915993571281,
      0.106866359710693,
      0.101464472711086,
      0.100155249238014,
      0.102233052253723,
      0.105540856719017,
      0.114311426877975,
      0.134101361036301,
      0.139173328876495,
      0.104119032621384,
      0.0844736248254776,
      0.106849350035191,
      0.12838539481163,
      0.128347367048264,
      0.161727219820023,
      0.217343598604202,
      0.188579812645912,
      0.107559487223625,
      0.18500429391861,
      0.21674120426178,
      0.137306421995163,
      0.0984454229474068,
      0.0828845426440239,
      0.0783898755908012,
      0.0980933010578156,
      0.196475073695183,
      0.226674154400826,
      0.144599080085754,
      0.15691402554512,
      0.215288653969765,
      0.18073895573616,
      0.101161643862724,
      0.0988554656505585,
      0.134163558483124,
      0.150353729724884,
      0.142753511667252,
      0.136181145906448,
      0.107832781970501,
      0.0946278795599937,
      0.192939251661301,
      0.223648875951767,
      0.142306849360466,
      0.110005982220173,
      0.128148108720779,
      0.119607158005238,
      0.112763077020645,
      0.115026921033859,
      0.116532482206821,
      0.110776178538799,
      0.145228162407875,
      0.208638444542885,
      0.183266133069992,
      0.135777086019516,
      0.158152908086777,
      0.15034781396389,
      0.11692238599062,
      0.119519077241421,
      0.129574865102768,
      0.11831346154213,
      0.118918910622597,
      0.121225319802761,
      0.133893057703972,
      0.125747010111809,
      0.13681872189045,
      0.138966053724289,
      0.0943467020988464,
      0.093349389731884,
      0.113981746137142,
      0.0898295938968658,
      0.0659739449620247,
      0.155890479683876,
      0.220674216747284,
      0.169776201248169,
      0.103087775409222,
      0.118376642465591,
      0.123362846672535,
      0.119897425174713,
      0.118967801332474,
      0.110336899757385,
      0.1085125207901,
      0.119000367820263,
      0.211234956979752,
      0.223435312509537,
      0.146179333329201,
      0.110805816948414,
      0.112302713096142,
      0.115540936589241,
      0.121536873281002,
      0.137422800064087,
      0.125752076506615,
      0.0854140818119049,
      0.130054756999016,
      0.142551928758621,
      0.0959521383047104,
      0.0954243689775467,
      0.115188308060169,
      0.114760458469391,
      0.124948479235172,
      0.136175900697708,
      0.128519535064697,
      0.113864950835705,
      0.119957871735096,
      0.126006737351418,
      0.118703208863735,
      0.114795580506325,
      0.176531672477722,
      0.22078900039196,
      0.15762110054493,
      0.100385189056396,
      0.113763310015202,
      0.103421941399574,
      0.0803577974438667,
      0.105898544192314,
      0.109294168651104,
      0.0999276638031006,
      0.123733468353748,
      0.123456686735153,
      0.12291157990694,
      0.124955199658871,
      0.144565895199776,
      0.141341894865036,
      0.102784313261509,
      0.0976206511259079,
      0.102470591664314,
      0.1076620221138,
      0.113740488886833,
      0.179277330636978,
      0.215287014842033,
      0.14306315779686,
      0.118885211646557,
      0.202560231089592,
      0.188137844204903,
      0.104939475655556,
      0.0924529060721397,
      0.0978333652019501,
      0.106946066021919,
      0.155054286122322,
      0.217390015721321,
      0.200315445661545,
      0.127117395401001,
      0.171780526638031,
      0.213035300374031,
      0.15097713470459,
      0.095289833843708,
      0.112737096846104,
      0.147514179348946,
      0.143591210246086,
      0.149672448635101,
      0.138354986906052,
      0.0884758681058884,
      0.12597444653511,
      0.204314827919006,
      0.190413385629654,
      0.11536131054163,
      0.106384634971619,
      0.109291970729828,
      0.117574729025364,
      0.12000510841608,
      0.114436313509941,
      0.0995708778500557,
      0.109204739332199,
      0.181791394948959,
      0.210013344883919,
      0.143336415290833,
      0.102401971817017,
      0.106303885579109,
      0.113695688545704,
      0.113353759050369,
      0.120774760842323,
      0.136999011039734,
      0.126454100012779,
      0.124728307127953,
      0.123670496046543,
      0.127960652112961,
      0.126988157629967,
      0.13723549246788,
      0.133203566074371,
      0.101321808993816,
      0.105140633881092,
      0.118940927088261,
      0.116561330854893,
      0.107631921768188,
      0.190673619508743,
      0.222207769751549,
      0.139414295554161,
      0.144659519195557,
      0.211262032389641,
      0.185734152793884,
      0.111712150275707,
      0.0956191048026085,
      0.0919989347457886,
      0.0883327648043633,
      0.146055653691292,
      0.216158822178841,
      0.189548462629318,
      0.107661835849285,
      0.0983368307352066,
      0.106031104922295,
      0.105953030288219,
      0.101832963526249,
      0.0850158631801605,
      0.0736581012606621,
      0.103339105844498,
      0.147724002599716,
      0.135295942425728,
      0.095786839723587,
      0.101609796285629,
      0.116012342274189,
      0.114340275526047,
      0.112132981419563,
      0.120181195437908,
      0.121036700904369,
      0.103946693241596,
      0.10686219483614,
      0.107779256999493,
      0.0865296646952629,
      0.0868771746754646,
      0.116685345768929,
      0.117182582616806,
      0.10164824873209,
      0.127488166093826,
      0.128947034478188,
      0.0852900817990303,
      0.0648822709918022,
      0.100198321044445,
      0.110899955034256,
      0.0980993360280991,
      0.103480450809002,
      0.103316470980644,
      0.110294841229916,
      0.115580849349499,
      0.139950171113014,
      0.130681872367859,
      0.0850555226206779,
      0.0982492491602898,
      0.120516262948513,
      0.126728117465973,
      0.128856435418129,
      0.13341112434864,
      0.121057502925396,
      0.112233780324459,
      0.111531913280487,
      0.104706227779388,
      0.119689449667931,
      0.131232917308807,
      0.105429790914059,
      0.0773897245526314,
      0.0960887148976326,
      0.127248555421829,
      0.141108453273773,
      0.13874514400959,
      0.140711233019829,
      0.128686249256134,
      0.108343362808228,
      0.113037213683128,
      0.116400927305222,
      0.131629273295403,
      0.150729119777679,
      0.136318236589432,
      0.141273632645607,
      0.127863377332687,
      0.0926197618246078,
      0.102483972907066,
      0.109281674027443,
      0.11700015515089,
      0.132923647761345,
      0.137757822871208,
      0.122237183153629,
      0.107659101486206,
      0.104672990739346,
      0.102484203875065,
      0.113242819905281,
      0.107767410576344,
      0.192088708281517,
      0.193162277340889,
      0.118939213454723,
      0.0912720933556557,
      0.109593354165554,
      0.11566124111414,
      0.116287253797054,
      0.125263199210167,
      0.119604617357254,
      0.11599537730217,
      0.120343133807182,
      0.120539113879204,
      0.11325104534626,
      0.115701496601105,
      0.146060138940811,
      0.119897499680519,
      0.0925405919551849,
      0.110893756151199,
      0.118490852415562,
      0.091554582118988,
      0.0980295538902283,
      0.20462267100811,
      0.208646878600121,
      0.137799873948097,
      0.104328684508801,
      0.093836136162281,
      0.0996664315462112,
      0.130609512329102,
      0.205272287130356,
      0.19681952893734,
      0.121696375310421,
      0.0949327945709229,
      0.0938043221831322,
      0.105043694376945,
      0.130423352122307,
      0.204999178647995,
      0.194417789578438,
      0.119007714092731,
      0.100449398159981,
      0.094111941754818,
      0.0804773569107056,
      0.118221633136272,
      0.200025081634521,
      0.185766980051994,
      0.116337954998016,
      0.0945888608694077,
      0.0892466306686401,
      0.104930333793163,
      0.116474635899067,
      0.120681636035442,
      0.122134253382683,
      0.115004777908325,
      0.111504413187504,
      0.119865722954273,
      0.113470561802387,
      0.143076360225677,
      0.205549314618111,
      0.189483821392059,
      0.105897903442383,
      0.0616565607488155,
      0.0720587223768234,
      0.0815424099564552,
      0.0771028771996498,
      0.084792248904705,
      0.106578409671783,
      0.116255089640617,
      0.114314377307892,
      0.110113508999348,
      0.114324368536472,
      0.141808807849884,
      0.152298003435135,
      0.144981682300568,
      0.120994202792645,
      0.115096673369408,
      0.125794112682343,
      0.122749641537666,
      0.168278187513351,
      0.224323004484177,
      0.186611160635948,
      0.102934636175632,
      0.0900601148605347,
      0.101780660450459,
      0.103661917150021,
      0.100328460335732,
      0.108854204416275,
      0.11899833381176,
      0.118736542761326,
      0.192256823182106,
      0.218608051538467,
      0.131936863064766,
      0.0912228673696518,
      0.117117941379547,
      0.117812395095825,
      0.11942595243454,
      0.127380937337875,
      0.119231007993221,
      0.111672334372997,
      0.124098770320415,
      0.133214727044106,
      0.104347929358482,
      0.0869281217455864,
      0.102794744074345,
      0.105958662927151,
      0.103107370436192,
      0.108067139983177,
      0.11236684024334,
      0.107568249106407,
      0.104000724852085,
      0.109420068562031,
      0.106230430305004,
      0.102563410997391,
      0.147734239697456,
      0.206488594412804,
      0.173463091254234,
      0.0852769315242767,
      0.087562620639801,
      0.09487534314394,
      0.0902792513370514,
      0.104857482016087,
      0.116192705929279,
      0.108554825186729,
      0.107915349304676,
      0.117117032408714,
      0.109024345874786,
      0.0977574363350868,
      0.120854064822197,
      0.136087417602539,
      0.101648382842541,
      0.0836866125464439,
      0.10048109292984,
      0.108757711946964,
      0.0887564420700073,
      0.134557574987411,
      0.208990335464478,
      0.18645142018795,
      0.127140432596207,
      0.0987152308225632,
      0.0808236375451088,
      0.0873184949159622,
      0.145501300692558,
      0.213742986321449,
      0.173443540930748,
      0.107707045972347,
      0.0906825065612793,
      0.0838608294725418,
      0.083451546728611,
      0.138071030378342,
      0.216786071658134,
      0.177638083696365,
      0.101502485573292,
      0.0828067511320114,
      0.0736033022403717,
      0.0786360129714012,
      0.145613938570023,
      0.212232336401939,
      0.169392883777618,
      0.101797975599766,
      0.0846506878733635,
      0.0739856883883476,
      0.0865814462304115,
      0.103334859013557,
      0.108802787959576,
      0.102617911994457,
      0.102316051721573,
      0.102093786001205,
      0.0938103720545769,
      0.0861486718058586,
      0.088013730943203,
      0.092596024274826,
      0.0989887490868568,
      0.0849107652902603,
      0.0563259907066822,
      0.0519930943846703,
      0.0505925044417381,
      0.16098552942276,
      0.220076650381088,
      0.152886614203453,
      0.0737976506352425,
      0.0759919509291649,
      0.0803329274058342,
      0.0865046232938766,
      0.131676018238068,
      0.168683782219887,
      0.140726581215858,
      0.0953871533274651,
      0.10679379850626,
      0.110436171293259,
      0.104770131409168,
      0.131470397114754,
      0.137211814522743,
      0.1176448315382,
      0.112310260534286,
      0.102042347192764,
      0.0967128649353981,
      0.0999397039413452,
      0.104065552353859,
      0.0999694317579269,
      0.104547426104546,
      0.101096250116825,
      0.10076717287302,
      0.102709405124187,
      0.100730076432228,
      0.111056290566921,
      0.109869010746479,
      0.0943106710910797,
      0.0984525755047798,
      0.107510082423687,
      0.109346099197865,
      0.0978664979338646,
      0.120657943189144,
      0.135402426123619,
      0.100862398743629,
      0.0966643169522285,
      0.112014554440975,
      0.11118995398283,
      0.102965347468853,
      0.109609596431255,
      0.114969745278358,
      0.105765096843243,
      0.107104912400246,
      0.110112272202969,
      0.107659906148911,
      0.0914135053753853,
      0.173367813229561,
      0.21786442399025,
      0.143504679203033,
      0.0919783413410187,
      0.102370001375675,
      0.11157088726759,
      0.113932065665722,
      0.127364352345467,
      0.123825274407864,
      0.115787327289581,
      0.124127864837646,
      0.12212286144495,
      0.114836290478706,
      0.113130435347557,
      0.138963505625725,
      0.13695515692234,
      0.0933422446250916,
      0.0995438471436501,
      0.114911437034607,
      0.100360259413719,
      0.0807885900139809,
      0.173698768019676,
      0.226811811327934,
      0.160588443279266,
      0.107191033661366,
      0.101433515548706,
      0.0997224599123001,
      0.0984679982066154,
      0.182968482375145,
      0.22084778547287,
      0.145213380455971,
      0.098412424325943,
      0.0966594070196152,
      0.100497774779797,
      0.102799937129021,
      0.180730536580086,
      0.218359246850014,
      0.143277794122696,
      0.0960936173796654,
      0.0972163379192352,
      0.0864213705062866,
      0.0711264312267303,
      0.175322145223618,
      0.21718356013298,
      0.136164113879204,
      0.0998019352555275,
      0.0985340252518654,
      0.103154137730598,
      0.109784655272961,
      0.120451204478741,
      0.126135766506195,
      0.117822490632534,
      0.108490817248821,
      0.116943582892418,
      0.110284142196178,
      0.110456973314285,
      0.193930670619011,
      0.210903108119965,
      0.138696625828743,
      0.0853502750396729,
      0.0661366581916809,
      0.0801047310233116,
      0.0788624137639999,
      0.0781739205121994,
      0.0958010256290436,
      0.11099760979414,
      0.115507438778877,
      0.114284545183182,
      0.114302776753902,
      0.126987636089325,
      0.146506488323212,
      0.160626739263535,
      0.138354435563087,
      0.114018052816391,
      0.121320374310017,
      0.127541795372963,
      0.138267830014229,
      0.211812153458595,
      0.212970614433289,
      0.12502720952034,
      0.0865207985043526,
      0.096403457224369,
      0.0996568724513054,
      0.101526603102684,
      0.107673086225986,
      0.1191246509552,
      0.120997615158558,
      0.166325271129608,
      0.218596637248993,
      0.165385484695435,
      0.0919475331902504,
      0.108304381370544,
      0.119329050183296,
      0.114104554057121,
      0.121516659855843,
      0.122022792696953,
      0.11261984705925,
      0.106418520212173,
      0.138842284679413,
      0.129810020327568,
      0.0851905643939972,
      0.0955324098467827,
      0.101536475121975,
      0.103407196700573,
      0.102454707026482,
      0.112224146723747,
      0.111797578632832,
      0.103969573974609,
      0.110987886786461,
      0.113314270973206,
      0.103534087538719,
      0.115018755197525,
      0.199047937989235,
      0.189462006092072,
      0.113314725458622,
      0.0839476734399796,
      0.0938861072063446,
      0.0946517959237099,
      0.0983855128288269,
      0.113256007432938,
      0.112152248620987,
      0.105111092329025,
      0.111496984958649,
      0.11709513515234,
      0.105692617595196,
      0.0938241556286812,
      0.132056087255478,
      0.118767648935318,
      0.0905953124165535,
      0.0953529924154282,
      0.107976987957954,
      0.0918954238295555,
      0.0955876335501671,
      0.195876523852348,
      0.205428466200829,
      0.143806889653206,
      0.10406119376421,
      0.079395167529583,
      0.0881643369793892,
      0.120305225253105,
      0.202175974845886,
      0.195910021662712,
      0.124049082398415,
      0.0917044878005981,
      0.0763042122125626,
      0.0832842662930489,
      0.115311145782471,
      0.205780565738678,
      0.197439715266228,
      0.117292776703835,
      0.0825189873576164,
      0.0688366815447807,
      0.0781210735440254,
      0.117354780435562,
      0.197559624910355,
      0.190512999892235,
      0.116389133036137,
      0.084078773856163,
      0.0711103081703186,
      0.0810722708702087,
      0.0947519838809967,
      0.104532286524773,
      0.105274677276611,
      0.100201830267906,
      0.0968503206968307,
      0.101979121565819,
      0.091015137732029,
      0.090277187526226,
      0.0937816426157951,
      0.090542808175087,
      0.0861000269651413,
      0.0634009763598442,
      0.0498066432774067,
      0.0461684092879295,
      0.126797214150429,
      0.207537487149239,
      0.186676934361458,
      0.0942726507782936,
      0.0727922692894936,
      0.0844357535243034,
      0.0858181789517403,
      0.12726828455925,
      0.156627058982849,
      0.146791130304337,
      0.113758638501167,
      0.103517040610313,
      0.105419181287289,
      0.10452613979578,
      0.128690049052238,
      0.133764579892159,
      0.117840640246868,
      0.113429673016071,
      0.105316750705242,
      0.102794572710991,
      0.0960531160235405,
      0.0987063869833946,
      0.0976160019636154,
      0.100877024233341,
      0.100685127079487,
      0.0988420844078064,
      0.101567268371582,
      0.100939147174358,
      0.109055586159229,
      0.11311798542738,
      0.0987251922488213,
      0.0982672348618507,
      0.108232446014881,
      0.108308911323547,
      0.0973422676324844,
      0.111776158213615,
      0.132534712553024,
      0.112957067787647,
      0.0928062275052071,
      0.109844654798508,
      0.112920895218849,
      0.102202698588371,
      0.106713190674782,
      0.115130104124546,
      0.110055968165398,
      0.107827380299568,
      0.116257444024086,
      0.116793513298035,
      0.103095829486847,
      0.138036251068115,
      0.208048835396767,
      0.179769307374954,
      0.102124460041523,
      0.11263045668602,
      0.120200902223587,
      0.126474797725677,
      0.133438169956207,
      0.13785083591938,
      0.136754006147385,
      0.127692207694054,
      0.121510729193687,
      0.118745751678944,
      0.114468403160572,
      0.12851257622242,
      0.136814132332802,
      0.111198961734772,
      0.110172279179096,
      0.121567592024803,
      0.125432342290878,
      0.116781786084175,
      0.158091947436333,
      0.213151380419731,
      0.172173231840134,
      0.125794634222984,
      0.14304593205452,
      0.145359292626381,
      0.14639800786972,
      0.146580010652542,
      0.133852481842041,
      0.124871835112572,
      0.122024036943913,
      0.20191216468811,
      0.206772103905678,
      0.128989711403847,
      0.114394895732403,
      0.127660691738129,
      0.119902327656746,
      0.1152533441782,
      0.125847324728966,
      0.107430756092072,
      0.0909535363316536,
      0.148668870329857,
      0.160266786813736,
      0.115754395723343,
      0.10493677854538,
      0.118190445005894,
      0.10687430948019,
      0.122150465846062,
      0.130888491868973,
      0.124259658157825,
      0.119920134544373,
      0.112390667200089,
      0.118555836379528,
      0.130527913570404,
      0.119295440614223,
      0.172414466738701,
      0.219150960445404,
      0.154103517532349,
      0.0676665753126144,
      0.0899422168731689,
      0.109934315085411,
      0.104302972555161,
      0.109964214265347,
      0.12731297314167,
      0.142891854047775,
      0.145346730947495,
      0.135803565382957,
      0.123930282890797,
      0.109804399311543,
      0.139687955379486,
      0.14061427116394,
      0.0970057919621468,
      0.110907606780529,
      0.133084058761597,
      0.149871736764908,
      0.131222888827324,
      0.168251514434814,
      0.211382940411568,
      0.150701731443405,
      0.132962808012962,
      0.20086732506752,
      0.190678775310516,
      0.124214924871922,
      0.11386339366436,
      0.12529169023037,
      0.126829519867897,
      0.155703186988831,
      0.210801273584366,
      0.190851375460625,
      0.101125746965408,
      0.157063946127892,
      0.211262911558151,
      0.159857615828514,
      0.128128051757812,
      0.137712523341179,
      0.142267897725105,
      0.140189677476883,
      0.143463224172592,
      0.133801400661469,
      0.101191624999046,
      0.144303753972054,
      0.205960005521774,
      0.186205267906189,
      0.121669963002205,
      0.124950230121613,
      0.110740303993225,
      0.099465511739254,
      0.108832865953445,
      0.108527719974518,
      0.10674849152565,
      0.123674340546131,
      0.183220878243446,
      0.210957363247871,
      0.155517369508743,
      0.121026284992695,
      0.128318428993225,
      0.154987409710884,
      0.162994295358658,
      0.143563255667686,
      0.11438063532114,
      0.106113091111183,
      0.13059189915657,
      0.149472311139107,
      0.14513236284256,
      0.130640864372253,
      0.145183756947517,
      0.13962210714817,
      0.106749556958675,
      0.104672446846962,
      0.108426958322525,
      0.0931853652000427,
      0.0895594134926796,
      0.186972677707672,
      0.219467505812645,
      0.136587768793106,
      0.128666207194328,
      0.203509226441383,
      0.180422231554985,
      0.0851824581623077,
      0.0919848158955574,
      0.112831473350525,
      0.110394552350044,
      0.1561109572649,
      0.215771198272705,
      0.18133020401001,
      0.10247353464365,
      0.106724716722965,
      0.120817497372627,
      0.121921434998512,
      0.120930314064026,
      0.111126773059368,
      0.111672975122929,
      0.121544674038887,
      0.141325563192368,
      0.131809085607529,
      0.103529490530491,
      0.11433369666338,
      0.10669320076704,
      0.087257131934166,
      0.101211860775948,
      0.113657057285309,
      0.110835209488869,
      0.104102618992329,
      0.0946395695209503,
      0.106891661882401,
      0.117558874189854,
      0.11783679574728,
      0.196823820471764,
      0.216281980276108,
      0.135822176933289,
      0.071962758898735,
      0.0646082311868668,
      0.0610608607530594,
      0.0641617774963379,
      0.116586394608021,
      0.128715395927429,
      0.124251686036587,
      0.119883976876736,
      0.100036352872849,
      0.0873043835163116,
      0.090974822640419,
      0.138329163193703,
      0.136512383818626,
      0.0869790092110634,
      0.10156337916851,
      0.115847140550613,
      0.113983735442162,
      0.107943490147591,
      0.196007490158081,
      0.214064747095108,
      0.138797625899315,
      0.167829737067223,
      0.215896904468536,
      0.16156393289566,
      0.0725451856851578,
      0.0919163525104523,
      0.112067222595215,
      0.108513467013836,
      0.16815721988678,
      0.215991228818893,
      0.159031733870506,
      0.0887077301740646,
      0.189915865659714,
      0.199821218848228,
      0.117118209600449,
      0.0808263123035431,
      0.0911687314510345,
      0.094495914876461,
      0.0922271534800529,
      0.140232235193253,
      0.131481751799583,
      0.105217158794403,
      0.167092740535736,
      0.217703491449356,
      0.167527124285698,
      0.109413363039494,
      0.108837999403477,
      0.105302169919014,
      0.118122071027756,
      0.114179365336895,
      0.116590090095997,
      0.113166876137257,
      0.0939593762159348,
      0.189750924706459,
      0.190475910902023,
      0.123445279896259,
      0.105229668319225,
      0.118169710040092,
      0.126760348677635,
      0.131372034549713,
      0.134331896901131,
      0.138076052069664,
      0.132981419563293,
      0.120145544409752,
      0.117766745388508,
      0.11716590821743,
      0.110182106494904,
      0.135233983397484,
      0.118219390511513,
      0.104049071669579,
      0.11661920696497,
      0.124316021800041,
      0.117605112493038,
      0.130896374583244,
      0.207365900278091,
      0.193844199180603,
      0.125458031892776,
      0.1377984136343,
      0.144767239689827,
      0.147280409932137,
      0.147700846195221,
      0.131212964653969,
      0.125202566385269,
      0.122298583388329,
      0.183459237217903,
      0.220251187682152,
      0.154700621962547,
      0.110422179102898,
      0.122889496386051,
      0.124028906226158,
      0.114821754395962,
      0.124095365405083,
      0.116611741483212,
      0.0885805487632751,
      0.132506236433983,
      0.163374289870262,
      0.130602121353149,
      0.0992008298635483,
      0.116125836968422,
      0.111309580504894,
      0.114850021898746,
      0.131213590502739,
      0.122748091816902,
      0.118975162506104,
      0.116158343851566,
      0.11430811136961,
      0.12788325548172,
      0.12432574480772,
      0.152857646346092,
      0.211856067180634,
      0.182255521416664,
      0.0868123546242714,
      0.080848790705204,
      0.104167930781841,
      0.104145310819149,
      0.102540798485279,
      0.115289248526096,
      0.134882092475891,
      0.144569203257561,
      0.139894142746925,
      0.126370221376419,
      0.111180931329727,
      0.133669346570969,
      0.14371033012867,
      0.102517664432526,
      0.0995073914527893,
      0.125299230217934,
      0.142187923192978,
      0.13763315975666,
      0.148980796337128,
      0.207229271531105,
      0.184379413723946,
      0.121830157935619,
      0.18792924284935,
      0.218249201774597,
      0.153762176632881,
      0.108099333941936,
      0.120834909379482,
      0.129944324493408,
      0.133689850568771,
      0.197556391358376,
      0.219520434737206,
      0.139516189694405,
      0.137864455580711,
      0.209522038698196,
      0.188711181282997,
      0.12560547888279,
      0.136922597885132,
      0.143095821142197,
      0.14227120578289,
      0.14736233651638,
      0.137925177812576,
      0.107914246618748,
      0.11426455527544,
      0.193800881505013,
      0.211784467101097,
      0.141463086009026,
      0.127066567540169,
      0.119022123515606,
      0.0966962650418282,
      0.105538196861744,
      0.110025711357594,
      0.104981638491154,
      0.114171758294106,
      0.164333716034889,
      0.20888477563858,
      0.18011038005352,
      0.124373868107796,
      0.124798886477947,
      0.148906633257866,
      0.169566288590431,
      0.16212785243988,
      0.125913143157959,
      0.100978970527649,
      0.137210860848427,
      0.162882402539253,
      0.147673711180687,
      0.137229532003403,
      0.142907604575157,
      0.13883601129055,
      0.111686132848263,
      0.107586324214935,
      0.113534055650234,
      0.101132921874523,
      0.0873929262161255,
      0.159756988286972,
      0.218982294201851,
      0.168475568294525,
      0.0885986611247063,
      0.18196177482605,
      0.198697805404663,
      0.106475934386253,
      0.0818569362163544,
      0.107531249523163,
      0.106968484818935,
      0.106674320995808,
      0.197071194648743,
      0.204915598034859,
      0.119561433792114,
      0.0962188616394997,
      0.114912629127502,
      0.119781635701656,
      0.119288742542267,
      0.111969001591206,
      0.110497564077377,
      0.121274955570698,
      0.136452466249466,
      0.135110899806023,
      0.110347233712673,
      0.109598033130169,
      0.110808417201042,
      0.0930661782622337,
      0.0965836048126221,
      0.11180505156517,
      0.110281988978386,
      0.104204796254635,
      0.0925389975309372,
      0.102084025740623,
      0.119237720966339,
      0.116395831108093,
      0.16825108230114,
      0.212634563446045,
      0.163026928901672,
      0.0811096802353859,
      0.0588308498263359,
      0.0633214712142944,
      0.0570608600974083,
      0.108440145850182,
      0.133282840251923,
      0.124782077968121,
      0.119152382016182,
      0.103180639445782,
      0.0881757289171219,
      0.0918297469615936,
      0.130660638213158,
      0.139825612306595,
      0.0949639827013016,
      0.0969199687242508,
      0.11215066164732,
      0.114017091691494,
      0.107968762516975,
      0.170195534825325,
      0.218002796173096,
      0.161853447556496,
      0.141094595193863,
      0.204787254333496,
      0.189440429210663,
      0.0934379026293755,
      0.0804078578948975,
      0.111702360212803,
      0.105070888996124,
      0.149461776018143,
      0.209809750318527,
      0.184773623943329,
      0.100178621709347,
      0.167654111981392,
      0.219259649515152,
      0.150712504982948,
      0.0870195180177689,
      0.0889634266495705,
      0.0954193398356438,
      0.0902201607823372,
      0.129848018288612,
      0.142407327890396,
      0.102930098772049,
      0.148128479719162,
      0.211189970374107,
      0.192210480570793,
      0.115155853331089,
      0.108629398047924,
      0.11147452890873,
      0.117545589804649,
      0.115108750760555,
      0.107228808104992,
      0.103297635912895,
      0.120010368525982,
      0.198361754417419,
      0.219601988792419,
      0.146984875202179,
      0.109736427664757,
      0.119878686964512,
      0.134075134992599,
      0.141945466399193,
      0.133848294615746,
      0.132776781916618,
      0.142943620681763,
      0.140733897686005,
      0.111419998109341,
      0.0927992537617683,
      0.108837619423866,
      0.147635892033577,
      0.140467435121536,
      0.09200119972229,
      0.10203493386507,
      0.11772932857275,
      0.108921639621258,
      0.119796141982079,
      0.195178493857384,
      0.218300670385361,
      0.138237565755844,
      0.0978765338659286,
      0.112910240888596,
      0.11390033364296,
      0.113497145473957,
      0.128042280673981,
      0.130030244588852,
      0.116469509899616,
      0.150301948189735,
      0.212983667850494,
      0.180039897561073,
      0.1074378490448,
      0.11569482088089,
      0.124488390982151,
      0.12040875852108,
      0.121142774820328,
      0.108535371720791,
      0.0799101665616035,
      0.0700695738196373,
      0.136482566595078,
      0.146194651722908,
      0.103192053735256,
      0.117316551506519,
      0.123661875724792,
      0.113068923354149,
      0.120068855583668,
      0.129306197166443,
      0.123742789030075,
      0.11589427292347,
      0.123281329870224,
      0.120806321501732,
      0.107519142329693,
      0.11617661267519,
      0.20681044459343,
      0.217544004321098,
      0.142779931426048,
      0.135776355862617,
      0.14198525249958,
      0.126309037208557,
      0.118664123117924,
      0.125584900379181,
      0.131471127271652,
      0.137486502528191,
      0.13079459965229,
      0.113089717924595,
      0.113501779735088,
      0.132602974772453,
      0.151399940252304,
      0.127353951334953,
      0.0948836728930473,
      0.122406333684921,
      0.128522425889969,
      0.111308977007866,
      0.111464641988277,
      0.201585054397583,
      0.210637420415878,
      0.121100179851055,
      0.152319729328156,
      0.209483429789543,
      0.159408047795296,
      0.0732735320925713,
      0.094778448343277,
      0.122080266475677,
      0.121945254504681,
      0.168302074074745,
      0.217021450400352,
      0.164111658930779,
      0.104647010564804,
      0.192195311188698,
      0.192990660667419,
      0.128858283162117,
      0.113743171095848,
      0.117674425244331,
      0.113339714705944,
      0.126365676522255,
      0.150362148880959,
      0.130183160305023,
      0.101750157773495,
      0.159352973103523,
      0.215977698564529,
      0.166599050164223,
      0.0976483896374702,
      0.0956738591194153,
      0.102527551352978,
      0.108070984482765,
      0.106321103870869,
      0.124442085623741,
      0.129107907414436,
      0.11352901160717,
      0.196768537163734,
      0.19233413040638,
      0.120895363390446,
      0.0884380862116814,
      0.0833211913704872,
      0.0824865847826004,
      0.0944566056132317,
      0.121492341160774,
      0.140343457460403,
      0.153866246342659,
      0.148018717765808,
      0.124574713408947,
      0.131169453263283,
      0.141898781061172,
      0.152667716145515,
      0.117053925991058,
      0.0837728306651115,
      0.104763820767403,
      0.120951190590858,
      0.118874683976173,
      0.1406309902668,
      0.205423206090927,
      0.189303174614906,
      0.115447722375393,
      0.170146301388741,
      0.211882352828979,
      0.148488372564316,
      0.114778965711594,
      0.129459261894226,
      0.124648302793503,
      0.112696021795273,
      0.173909649252892,
      0.223145753145218,
      0.156085684895515,
      0.0901521146297455,
      0.10702969878912,
      0.119860008358955,
      0.118231378495693,
      0.115037143230438,
      0.109357446432114,
      0.0904212146997452,
      0.104261815547943,
      0.138761222362518,
      0.118311189115047,
      0.0985731557011604,
      0.110681287944317,
      0.101959563791752,
      0.0941703170537949,
      0.104277737438679,
      0.0993984341621399,
      0.0943352803587914,
      0.101073116064072,
      0.0959403514862061,
      0.109461411833763,
      0.121772319078445,
      0.146227210760117,
      0.206231936812401,
      0.18776398897171,
      0.101799666881561,
      0.0773045420646667,
      0.099746011197567,
      0.106435395777225,
      0.11065611243248,
      0.12108501046896,
      0.1138546615839,
      0.115872859954834,
      0.119081601500511,
      0.113734126091003,
      0.133330464363098,
      0.149882599711418,
      0.140123561024666,
      0.104383908212185,
      0.0887076556682587,
      0.104903668165207,
      0.113186471164227,
      0.118811532855034,
      0.15442031621933,
      0.208933606743813,
      0.187371015548706,
      0.111263424158096,
      0.179863795638084,
      0.20918245613575,
      0.120090208947659,
      0.0733584463596344,
      0.110749088227749,
      0.132216036319733,
      0.118118993937969,
      0.178541898727417,
      0.219297155737877,
      0.147054776549339,
      0.165821611881256,
      0.222755119204521,
      0.181811273097992,
      0.0956521406769753,
      0.083845928311348,
      0.119255900382996,
      0.147020637989044,
      0.15155303478241,
      0.138805136084557,
      0.105551093816757,
      0.096965417265892,
      0.191455349326134,
      0.22273276746273,
      0.134426400065422,
      0.0831788927316666,
      0.0956006944179535,
      0.107238627970219,
      0.112299717962742,
      0.107572697103024,
      0.105492323637009,
      0.130574315786362,
      0.189726397395134,
      0.220534160733223,
      0.176447704434395,
      0.104242049157619,
      0.105197191238403,
      0.127904653549194,
      0.144562363624573,
      0.138528123497963,
      0.126591950654984,
      0.140391007065773,
      0.147153899073601,
      0.125563949346542,
      0.101893991231918,
      0.105831801891327,
      0.140839710831642,
      0.143845602869987,
      0.10414332151413,
      0.0920899957418442,
      0.114161096513271,
      0.112156480550766,
      0.112300917506218,
      0.173224985599518,
      0.221374303102493,
      0.16667041182518,
      0.102755323052406,
      0.103502281010151,
      0.115712776780128,
      0.106992073357105,
      0.121789291501045,
      0.140545815229416,
      0.1268380433321,
      0.109797552227974,
      0.198432430624962,
      0.204690098762512,
      0.119995847344398,
      0.10618568956852,
      0.124868333339691,
      0.123655527830124,
      0.121721610426903,
      0.115508183836937,
      0.0936561673879623,
      0.0722967833280563,
      0.119501225650311,
      0.141848653554916,
      0.11294586956501,
      0.112028896808624,
      0.124047756195068,
      0.118843421339989,
      0.119454234838486,
      0.127266809344292,
      0.120916984975338,
      0.116621553897858,
      0.123267017304897,
      0.124073699116707,
      0.115830607712269,
      0.115192070603371,
      0.17945596575737,
      0.221760913729668,
      0.167464524507523,
      0.130777642130852,
      0.148733526468277,
      0.134369149804115,
      0.119402274489403,
      0.126014351844788,
      0.129383876919746,
      0.133076250553131,
      0.135967969894409,
      0.123144544661045,
      0.11424794793129,
      0.122836977243423,
      0.154641479253769,
      0.139311164617538,
      0.0941530391573906,
      0.11276825517416,
      0.131780058145523,
      0.113937102258205,
      0.104613654315472,
      0.180782750248909,
      0.219648495316505,
      0.147874623537064,
      0.127413511276245,
      0.201848238706589,
      0.185188293457031,
      0.0916446968913078,
      0.0766635686159134,
      0.113788224756718,
      0.122231528162956,
      0.146560624241829,
      0.206830337643623,
      0.18924817442894,
      0.106763772666454,
      0.162279412150383,
      0.206167414784431,
      0.152108788490295,
      0.116693206131458,
      0.118450962007046,
      0.114695154130459,
      0.122193694114685,
      0.147823855280876,
      0.139156311750412,
      0.0969923809170723,
      0.136106416583061,
      0.207888454198837,
      0.190416410565376,
      0.108074575662613,
      0.0936842635273933,
      0.097818560898304,
      0.107120327651501,
      0.10707513988018,
      0.114663198590279,
      0.126218885183334,
      0.107907503843307,
      0.173852801322937,
      0.215974763035774,
      0.145232379436493,
      0.0926372110843658,
      0.0846994072198868,
      0.0810900256037712,
      0.0911895558238029,
      0.114172205328941,
      0.136685088276863,
      0.14780493080616,
      0.155447036027908,
      0.135521590709686,
      0.128809317946434,
      0.131232857704163,
      0.149383798241615,
      0.139057606458664,
      0.091148667037487,
      0.0917669236660004,
      0.114363878965378,
      0.117574132978916,
      0.127442270517349,
      0.188066616654396,
      0.212292611598969,
      0.138532757759094,
      0.143560156226158,
      0.209152191877365,
      0.179319217801094,
      0.112233877182007,
      0.127683714032173,
      0.134915426373482,
      0.122142732143402,
      0.151720404624939,
      0.215743497014046,
      0.18697427213192,
      0.101244516670704,
      0.0980049595236778,
      0.11799181252718,
      0.118149407207966,
      0.115657538175583,
      0.110060162842274,
      0.0934970155358315,
      0.0894015952944756,
      0.137553632259369,
      0.1408302038908,
      0.0992401316761971,
      0.104766391217709,
      0.10733363032341,
      0.0923173502087593,
      0.0998305976390839,
      0.102408207952976,
      0.0944502875208855,
      0.0985306426882744,
      0.100478515028954,
      0.106662787497044,
      0.119112491607666,
      0.107458405196667,
      0.115919604897499,
      0.125405579805374,
      0.113529518246651,
      0.101100072264671,
      0.106970243155956,
      0.113301448523998,
      0.112025909125805,
      0.130879327654839,
      0.126016110181808,
      0.11821012198925,
      0.122948668897152,
      0.1191126704216,
      0.128218993544579,
      0.140369847416878,
      0.150842562317848,
      0.129980474710464,
      0.0875778868794441,
      0.0972470641136169,
      0.110434614121914,
      0.119474194943905,
      0.125355750322342,
      0.136362046003342,
      0.137093663215637,
      0.123598165810108,
      0.120912671089172,
      0.111941821873188,
      0.0825283601880074,
      0.0784086585044861,
      0.118047468364239,
      0.131178542971611,
      0.123451501131058,
      0.116778790950775,
      0.134766727685928,
      0.149627596139908,
      0.162554621696472,
      0.145871922373772,
      0.112714469432831,
      0.104635082185268,
      0.103351101279259,
      0.11347571015358,
      0.143153220415115,
      0.140022024512291,
      0.144322797656059,
      0.124595209956169,
      0.0935083776712418,
      0.106027498841286,
      0.112476415932178,
      0.10851588845253,
      0.111729562282562,
      0.111648268997669,
      0.108149416744709,
      0.112640291452408,
      0.109020598232746,
      0.104038991034031,
      0.103749081492424,
      0.106427058577538,
      0.193774968385696,
      0.191945225000381,
      0.119254246354103,
      0.0936443880200386,
      0.10978652536869,
      0.115161463618279,
      0.118510194122791,
      0.126656711101532,
      0.12000884115696,
      0.116267159581184,
      0.120109260082245,
      0.117852702736855,
      0.111109092831612,
      0.113542325794697,
      0.141558542847633,
      0.115250766277313,
      0.0882137641310692,
      0.106934733688831,
      0.116453520953655,
      0.0921605974435806,
      0.0975803732872009,
      0.201282307505608,
      0.20774681866169,
      0.138245895504951,
      0.103541001677513,
      0.0936780720949173,
      0.0988061428070068,
      0.130803853273392,
      0.204937934875488,
      0.194378867745399,
      0.120617732405663,
      0.0960255786776543,
      0.0941366255283356,
      0.105094112455845,
      0.129827499389648,
      0.20047165453434,
      0.189530402421951,
      0.117586970329285,
      0.0985489785671234,
      0.0893390104174614,
      0.076908066868782,
      0.116643078625202,
      0.200926378369331,
      0.18855194747448,
      0.115627564489841,
      0.0943063646554947,
      0.0902145430445671,
      0.106360793113708,
      0.118133343756199,
      0.120907701551914,
      0.124192520976067,
      0.116968333721161,
      0.110645063221455,
      0.117906309664249,
      0.113303057849407,
      0.144222393631935,
      0.206031128764153,
      0.188835725188255,
      0.10482993721962,
      0.0602717660367489,
      0.0731513947248459,
      0.0817572623491287,
      0.0764984861016273,
      0.0848474651575089,
      0.106290407478809,
      0.115117773413658,
      0.113567195832729,
      0.111717060208321,
      0.114809766411781,
      0.141655743122101,
      0.155418932437897,
      0.148532867431641,
      0.122415043413639,
      0.118695959448814,
      0.125782892107964,
      0.121649384498596,
      0.169484376907349,
      0.226400747895241,
      0.186130583286285,
      0.101113483309746,
      0.0890795364975929,
      0.0999014973640442,
      0.104051150381565,
      0.102249450981617,
      0.109192498028278,
      0.115382254123688,
      0.115719087421894,
      0.18890306353569,
      0.217219024896622,
      0.132215782999992,
      0.0917678326368332,
      0.114250391721725,
      0.113986812531948,
      0.115921564400196,
      0.124180033802986,
      0.12090090662241,
      0.111848957836628,
      0.121664747595787,
      0.130892530083656,
      0.101799078285694,
      0.0870609730482101,
      0.102266497910023,
      0.106481522321701,
      0.10566396266222,
      0.110609658062458,
      0.114439390599728,
      0.108305215835571,
      0.103264234960079,
      0.108025319874287,
      0.106881693005562,
      0.103424951434135,
      0.149158045649529,
      0.207784548401833,
      0.172772124409676,
      0.0844783186912537,
      0.0869999825954437,
      0.0942963063716888,
      0.0893208682537079,
      0.103599555790424,
      0.11432821303606,
      0.106050387024879,
      0.10528514534235,
      0.112966448068619,
      0.107274897396564,
      0.0982378050684929,
      0.11874508112669,
      0.135066360235214,
      0.105658806860447,
      0.0891357883810997,
      0.102220192551613,
      0.106891207396984,
      0.0890015140175819,
      0.13603138923645,
      0.213858723640442,
      0.18887834250927,
      0.12505379319191,
      0.0974814370274544,
      0.0826736763119698,
      0.0909033492207527,
      0.148348733782768,
      0.217030301690102,
      0.175387158989906,
      0.106575831770897,
      0.0899465829133987,
      0.0798673033714294,
      0.0815741494297981,
      0.139122933149338,
      0.215905785560608,
      0.176005750894547,
      0.0994453504681587,
      0.0820282027125359,
      0.072942815721035,
      0.0779314264655113,
      0.143952146172523,
      0.209414109587669,
      0.167810156941414,
      0.10191286355257,
      0.0842995271086693,
      0.0739670321345329,
      0.0863175392150879,
      0.103276915848255,
      0.106429241597652,
      0.0957137793302536,
      0.0976672992110252,
      0.101294532418251,
      0.0945736467838287,
      0.0868620052933693,
      0.156185314059258,
      0.215150862932205,
      0.17158405482769,
      0.0904199481010437,
      0.046955082565546,
      0.0474625863134861,
      0.0468127168715,
      0.0667866915464401,
      0.0843286365270615,
      0.0868049412965775,
      0.0958699285984039,
      0.0993227884173393,
      0.0890238061547279,
      0.0878094732761383,
      0.134360298514366,
      0.166559085249901,
      0.135651022195816,
      0.0971841290593147,
      0.110158033668995,
      0.11202397942543,
      0.105381920933723,
      0.180295243859291,
      0.223854377865791,
      0.152695164084435,
      0.0882178694009781,
      0.0853811725974083,
      0.0887123271822929,
      0.0956118479371071,
      0.102656506001949,
      0.0974595546722412,
      0.102122031152248,
      0.140728414058685,
      0.20354600250721,
      0.187329098582268,
      0.0930627733469009,
      0.0882745683193207,
      0.103115797042847,
      0.0917338505387306,
      0.0983308255672455,
      0.106049671769142,
      0.106069102883339,
      0.0960609614849091,
      0.12251877784729,
      0.136399611830711,
      0.100817903876305,
      0.0959615558385849,
      0.108651623129845,
      0.110239207744598,
      0.104088097810745,
      0.111829087138176,
      0.119193308055401,
      0.10939771682024,
      0.108303941786289,
      0.111121192574501,
      0.107639893889427,
      0.091146394610405,
      0.173286214470863,
      0.217881321907043,
      0.143695935606956,
      0.0922114029526711,
      0.105742894113064,
      0.112588778138161,
      0.112854026257992,
      0.124830827116966,
      0.122923538088799,
      0.119162946939468,
      0.12195061892271,
      0.118858315050602,
      0.115053154528141,
      0.113673739135265,
      0.141888812184334,
      0.13828818500042,
      0.0888384133577347,
      0.0943685993552208,
      0.115545399487019,
      0.10396059602499,
      0.0835896134376526,
      0.168504402041435,
      0.220353931188583,
      0.155754372477531,
      0.106318198144436,
      0.100865215063095,
      0.0969723910093307,
      0.0985616892576218,
      0.185670435428619,
      0.220728561282158,
      0.141891002655029,
      0.0979155823588371,
      0.0971164256334305,
      0.101497389376163,
      0.105551660060883,
      0.177819520235062,
      0.215160056948662,
      0.143787726759911,
      0.0968664810061455,
      0.0948323532938957,
      0.0824983045458794,
      0.0707099959254265,
      0.177110999822617,
      0.217789798974991,
      0.135687842965126,
      0.100157871842384,
      0.101170174777508,
      0.105159103870392,
      0.11089202016592,
      0.118833772838116,
      0.121556550264359,
      0.114359669387341,
      0.109735496342182,
      0.11597391217947,
      0.107846193015575,
      0.109673567116261,
      0.190407752990723,
      0.207169368863106,
      0.134385004639626,
      0.0798077881336212,
      0.0674598291516304,
      0.0809517055749893,
      0.0795435830950737,
      0.0783916711807251,
      0.096763901412487,
      0.111789375543594,
      0.11430287361145,
      0.112398862838745,
      0.112466342747211,
      0.126018226146698,
      0.146793648600578,
      0.160142689943314,
      0.13505719602108,
      0.114808060228825,
      0.121060587465763,
      0.123693265020847,
      0.138669937849045,
      0.210327863693237,
      0.212089657783508,
      0.123541228473186,
      0.0859323367476463,
      0.095988817512989,
      0.0955600664019585,
      0.0978593528270721,
      0.107296235859394,
      0.117102697491646,
      0.116327539086342,
      0.168633699417114,
      0.220610871911049,
      0.164250954985619,
      0.088863343000412,
      0.106645345687866,
      0.117803908884525,
      0.110737428069115,
      0.117240063846111,
      0.120512001216412,
      0.114159658551216,
      0.108053043484688,
      0.137349411845207,
      0.125459596514702,
      0.0830493122339249,
      0.0915527269244194,
      0.101914316415787,
      0.104990661144257,
      0.101890914142132,
      0.112826749682426,
      0.112280420958996,
      0.104187920689583,
      0.106598652899265,
      0.110323183238506,
      0.10615748167038,
      0.118573859333992,
      0.199750900268555,
      0.187777400016785,
      0.111006498336792,
      0.083695113658905,
      0.094160869717598,
      0.0910873562097549,
      0.0946776419878006,
      0.112100176513195,
      0.111446417868137,
      0.101832911372185,
      0.110039934515953,
      0.11863536387682,
      0.105015382170677,
      0.0944022610783577,
      0.132689341902733,
      0.116212725639343,
      0.0869934409856796,
      0.0945408344268799,
      0.105861969292164,
      0.0904285982251167,
      0.0970580354332924,
      0.199412479996681,
      0.205892533063889,
      0.139894336462021,
      0.101939849555492,
      0.0798531770706177,
      0.0890370160341263,
      0.125034734606743,
      0.204654708504677,
      0.197779938578606,
      0.124404422938824,
      0.089838907122612,
      0.0738480985164642,
      0.0823326781392097,
      0.111442267894745,
      0.201117441058159,
      0.19490821659565,
      0.116279169917107,
      0.0822001472115517,
      0.06834776699543,
      0.0783399865031242,
      0.121385537087917,
      0.1959438174963,
      0.187048733234406,
      0.11961767077446,
      0.0866173803806305,
      0.0711040273308754,
      0.0805999562144279,
      0.0941614732146263,
      0.104521989822388,
      0.101506806910038,
      0.0974657163023949,
      0.0953638106584549,
      0.0990975275635719,
      0.0888820737600327,
      0.0872513428330421,
      0.0939115807414055,
      0.0950765833258629,
      0.0889146625995636,
      0.0637980848550797,
      0.0532583668828011,
      0.0502628535032272,
      0.126471370458603,
      0.20858071744442,
      0.189189583063126,
      0.095944881439209,
      0.0664708912372589,
      0.0793056786060333,
      0.0839052274823189,
      0.120417647063732,
      0.149361178278923,
      0.140128701925278,
      0.106995820999146,
      0.101612024009228,
      0.10672303289175,
      0.103318303823471,
      0.124884530901909,
      0.128447696566582,
      0.112950474023819,
      0.114105068147182,
      0.108858868479729,
      0.102561622858047,
      0.0933839157223701,
      0.0957889780402184,
      0.0964376032352448,
      0.101137407124043,
      0.10334700345993,
      0.101043358445168,
      0.102650433778763,
      0.0998884588479996,
      0.112120769917965,
      0.113577350974083,
      0.0957598388195038,
      0.0987828820943832,
      0.109424717724323,
      0.107849724590778,
      0.0975480452179909,
      0.114687643945217,
      0.135829925537109,
      0.113808192312717,
      0.0934930592775345,
      0.109798409044743,
      0.11337424069643,
      0.103734157979488,
      0.108738504350185,
      0.113914519548416,
      0.109534837305546,
      0.110838480293751,
      0.115900918841362,
      0.115281857550144,
      0.102008827030659,
      0.0808398574590683,
      0.0903212949633598,
      0.11106226593256,
      0.120168030261993,
      0.117298789322376,
      0.116268843412399,
      0.121330328285694,
      0.127521514892578,
      0.129646092653275,
      0.120587833225727,
      0.119344510138035,
      0.121337331831455,
      0.117286257445812,
      0.115744575858116,
      0.119888298213482,
      0.12740983068943,
      0.118870124220848,
      0.108908757567406,
      0.109697245061398,
      0.0859554708003998,
      0.0460003726184368,
      0.0502595193684101,
      0.0888950228691101,
      0.106057420372963,
      0.112269319593906,
      0.122785545885563,
      0.118001773953438,
      0.112851716578007,
      0.112320274114609,
      0.128262594342232,
      0.135389968752861,
      0.117303811013699,
      0.110598437488079,
      0.103311941027641,
      0.0992777496576309,
      0.0964769050478935,
      0.109341956675053,
      0.118067994713783,
      0.116135902702808,
      0.114948853850365,
      0.110101707279682,
      0.103449508547783,
      0.0999416559934616,
      0.10609258711338,
      0.119639039039612,
      0.115947775542736,
      0.110349647700787,
      0.120690733194351,
      0.134588181972504,
      0.133102089166641,
      0.132492005825043,
      0.127211600542068,
      0.120339922606945,
      0.131468296051025,
      0.136385932564735,
      0.123038418591022,
      0.121371820569038,
      0.116236887872219,
      0.103959135711193,
      0.117338828742504,
      0.131111145019531,
      0.134363785386086,
      0.13939656317234,
      0.122370541095734,
      0.105192229151726,
      0.103580541908741,
      0.107706785202026,
      0.116074919700623,
      0.130349442362785,
      0.132522493600845,
      0.136934131383896,
      0.137247025966644,
      0.123301148414612,
      0.123247072100639,
      0.124401465058327,
      0.125157371163368,
      0.125199854373932,
      0.126803815364838,
      0.127336144447327,
      0.126660227775574,
      0.125285267829895,
      0.109821639955044,
      0.0949189737439156,
      0.0879361033439636,
      0.0832986682653427,
      0.0981960669159889,
      0.11828389018774,
      0.132690414786339,
      0.13540330529213,
      0.121003456413746,
      0.112524151802063,
      0.110771596431732,
      0.117053471505642,
      0.117353282868862,
      0.108194388449192,
      0.119470313191414,
      0.128835797309875,
      0.123131670057774,
      0.113811925053596,
      0.0991889983415604,
      0.0883453115820885,
      0.0878880620002747,
      0.115230672061443,
      0.131690502166748,
      0.133161589503288,
      0.136009812355042,
      0.131889209151268,
      0.132361143827438,
      0.124751813709736,
      0.103848867118359,
      0.103064894676208,
      0.115476749837399,
      0.181644752621651,
      0.214574322104454,
      0.133592560887337,
      0.0845366641879082,
      0.100710667669773,
      0.0911658108234406,
      0.10129439085722,
      0.119129210710526,
      0.13216233253479,
      0.124895073473454,
      0.106631085276604,
      0.0856678560376167,
      0.0789554119110107,
      0.091547429561615,
      0.186697080731392,
      0.217888861894608,
      0.143254563212395,
      0.0838154926896095,
      0.0754958465695381,
      0.0909875109791756,
      0.105701565742493,
      0.117497786879539,
      0.109001696109772,
      0.0966389924287796,
      0.117494836449623,
      0.135701909661293,
      0.125566199421883,
      0.124170228838921,
      0.196509450674057,
      0.220833718776703,
      0.139173448085785,
      0.0911373198032379,
      0.0915546864271164,
      0.0941532999277115,
      0.0885226801037788,
      0.0867616981267929,
      0.0860651135444641,
      0.0874820426106453,
      0.0859725996851921,
      0.0766614601016045,
      0.070348396897316,
      0.0551746971905231,
      0.180581644177437,
      0.219074845314026,
      0.129824951291084,
      0.0618978850543499,
      0.0764186605811119,
      0.0979901403188705,
      0.108221493661404,
      0.117205835878849,
      0.123040996491909,
      0.12158926576376,
      0.118962779641151,
      0.119920775294304,
      0.118560448288918,
      0.115308672189713,
      0.189782962203026,
      0.211516201496124,
      0.12843169271946,
      0.0799049064517021,
      0.122348047792912,
      0.118779890239239,
      0.0929790660738945,
      0.0935046821832657,
      0.0760428085923195,
      0.0790708065032959,
      0.0960565730929375,
      0.101501516997814,
      0.100369580090046,
      0.102673001587391,
      0.198382273316383,
      0.212500765919685,
      0.125317648053169,
      0.0780975595116615,
      0.10856369137764,
      0.11834043264389,
      0.114021927118301,
      0.11344651132822,
      0.100120380520821,
      0.115844324231148,
      0.129188567399979,
      0.111353300511837,
      0.109015464782715,
      0.106319434940815,
      0.198385551571846,
      0.206484600901604,
      0.128544926643372,
      0.105512000620365,
      0.11982749402523,
      0.11678933352232,
      0.111916646361351,
      0.120895206928253,
      0.126953676342964,
      0.122825376689434,
      0.109367534518242,
      0.112435400485992,
      0.114078551530838,
      0.114771962165833,
      0.203402444720268,
      0.204848572611809,
      0.11416507512331,
      0.086413562297821,
      0.122247815132141,
      0.121594153344631,
      0.125653281807899,
      0.136759102344513,
      0.124953597784042,
      0.12080641835928,
      0.130963727831841,
      0.132470831274986,
      0.126535519957542,
      0.132502526044846,
      0.196017786860466,
      0.188819095492363,
      0.131968542933464,
      0.115790866315365,
      0.134954437613487,
      0.143427789211273,
      0.137246057391167,
      0.129886627197266,
      0.139559000730515,
      0.138954743742943,
      0.134204372763634,
      0.140706121921539,
      0.134925201535225,
      0.133078724145889,
      0.147655859589577,
      0.12750406563282,
      0.107879623770714,
      0.116474129259586,
      0.11249927431345,
      0.0933589711785316,
      0.115208253264427,
      0.195007890462875,
      0.183954358100891,
      0.100215941667557,
      0.0887875780463219,
      0.105131223797798,
      0.107520006597042,
      0.103696450591087,
      0.117133177816868,
      0.123595580458641,
      0.112283922731876,
      0.173648208379745,
      0.213696539402008,
      0.142323225736618,
      0.0756798163056374,
      0.0857590660452843,
      0.105188503861427,
      0.109521605074406,
      0.100845195353031,
      0.0931007862091064,
      0.0806676372885704,
      0.102610290050507,
      0.130388900637627,
      0.106075808405876,
      0.0831874012947083,
      0.0976941138505936,
      0.100901775062084,
      0.10410188883543,
      0.108392879366875,
      0.107536524534225,
      0.117168635129929,
      0.117336064577103,
      0.109235249459743,
      0.110249474644661,
      0.116093188524246,
      0.151380285620689,
      0.205399990081787,
      0.182099297642708,
      0.0956260338425636,
      0.0772602260112762,
      0.0913815200328827,
      0.0916733741760254,
      0.0850650370121002,
      0.088123507797718,
      0.0998837277293205,
      0.10338718444109,
      0.107532061636448,
      0.114121936261654,
      0.108873263001442,
      0.121356099843979,
      0.124891400337219,
      0.0930119231343269,
      0.0786441490054131,
      0.0913676619529724,
      0.103614091873169,
      0.103215105831623,
      0.147143572568893,
      0.21347339451313,
      0.181551098823547,
      0.0935851410031319,
      0.172006785869598,
      0.209127932786942,
      0.123374082148075,
      0.047238327562809,
      0.0754439830780029,
      0.106722675263882,
      0.113474436104298,
      0.186053052544594,
      0.2114447504282,
      0.125526443123817,
      0.128047823905945,
      0.197661206126213,
      0.172294288873672,
      0.0870473310351372,
      0.0890844911336899,
      0.0964512750506401,
      0.103993892669678,
      0.12779375910759,
      0.132739692926407,
      0.0945886746048927,
      0.0743025466799736,
      0.183806404471397,
      0.21178725361824,
      0.120823003351688,
      0.0661635026335716,
      0.0804122984409332,
      0.0980527624487877,
      0.104260541498661,
      0.103625446557999,
      0.0948173701763153,
      0.0971911773085594,
      0.146206676959991,
      0.200996875762939,
      0.166339814662933,
      0.0785379856824875,
      0.0724209994077682,
      0.0907849296927452,
      0.0999432802200317,
      0.107467301189899,
      0.104218572378159,
      0.0931684225797653,
      0.0883412286639214,
      0.0965294912457466,
      0.110882744193077,
      0.123617060482502,
      0.132912322878838,
      0.124455764889717,
      0.0929903388023376,
      0.0763483643531799,
      0.0833197310566902,
      0.0920880436897278,
      0.0812587067484856,
      0.139680340886116,
      0.205259785056114,
      0.163086339831352,
      0.089050404727459,
      0.181283801794052,
      0.20189456641674,
      0.110584728419781,
      0.0744278654456139,
      0.0924087688326836,
      0.0940466225147247,
      0.0933089405298233,
      0.192940309643745,
      0.200536012649536,
      0.107272319495678,
      0.0666692703962326,
      0.0826346576213837,
      0.0896719172596931,
      0.0911228731274605,
      0.0940403118729591,
      0.0880807936191559,
      0.0794551149010658,
      0.116544462740421,
      0.126235455274582,
      0.0864070728421211,
      0.0721599757671356,
      0.0841154232621193,
      0.0840141996741295,
      0.0873823836445808,
      0.0925341621041298,
      0.0901725813746452,
      0.0850804820656776,
      0.0883713886141777,
      0.0889918953180313,
      0.0843049138784409,
      0.0862853676080704,
      0.159305855631828,
      0.20850458741188,
      0.15458633005619,
      0.0820863097906113,
      0.0780426636338234,
      0.0763996243476868,
      0.0737858042120934,
      0.0819182321429253,
      0.0870529413223267,
      0.0854388177394867,
      0.0894028693437576,
      0.10966669023037,
      0.10656712949276,
      0.0903830304741859,
      0.118330955505371,
      0.126226902008057,
      0.0916286706924438,
      0.0817386284470558,
      0.0918896123766899,
      0.103701867163181,
      0.0988859385251999,
      0.160726860165596,
      0.206275090575218,
      0.143755525350571,
      0.115701593458652,
      0.195294231176376,
      0.183308497071266,
      0.0843298435211182,
      0.0487813502550125,
      0.069723516702652,
      0.0913662016391754,
      0.134920299053192,
      0.19967021048069,
      0.184228464961052,
      0.0895255282521248,
      0.157566413283348,
      0.212174862623215,
      0.145577311515808,
      0.078821986913681,
      0.0841300413012505,
      0.0939808934926987,
      0.0918927416205406,
      0.119303993880749,
      0.125962227582932,
      0.0864973813295364,
      0.126942455768585,
      0.202508717775345,
      0.186739310622215,
      0.0888637900352478,
      0.0654100477695465,
      0.0948722213506699,
      0.105935297906399,
      0.109148979187012,
      0.10208310931921,
      0.0999188050627708,
      0.0865646228194237,
      0.167511910200119,
      0.212287560105324,
      0.139179110527039,
      0.0877051651477814,
      0.100662842392921,
      0.110961057245731,
      0.112163044512272,
      0.123824313282967,
      0.121969014406204,
      0.111946538090706,
      0.116540268063545,
      0.11503853648901,
      0.109723046422005,
      0.11036616563797,
      0.141066998243332,
      0.137053966522217,
      0.0893255546689034,
      0.0974497124552727,
      0.110583670437336,
      0.0947326794266701,
      0.0756303071975708,
      0.164731696248055,
      0.21618489921093,
      0.152743428945541,
      0.103225290775299,
      0.0959884598851204,
      0.0936859399080276,
      0.0979626104235649,
      0.177514731884003,
      0.209337085485458,
      0.13724273443222,
      0.0965816825628281,
      0.0939306914806366,
      0.0990546643733978,
      0.101751528680325,
      0.176978752017021,
      0.212129533290863,
      0.139153271913528,
      0.0967024862766266,
      0.0941170006990433,
      0.0829779580235481,
      0.0705189257860184,
      0.171962291002274,
      0.209765896201134,
      0.130480378866196,
      0.0932764559984207,
      0.090137280523777,
      0.0975752249360085,
      0.106296122074127,
      0.116007797420025,
      0.120288744568825,
      0.110689111053944,
      0.108599826693535,
      0.116764724254608,
      0.104449011385441,
      0.106192633509636,
      0.188437402248383,
      0.202965006232262,
      0.13539519906044,
      0.0868301093578339,
      0.0649164542555809,
      0.0779154002666473,
      0.0767869129776955,
      0.07822235673666,
      0.096792109310627,
      0.113998413085938,
      0.114704377949238,
      0.108094580471516,
      0.109157562255859,
      0.122295245528221,
      0.145565152168274,
      0.1585683375597,
      0.132055178284645,
      0.111355826258659,
      0.118077926337719,
      0.122871555387974,
      0.135328397154808,
      0.202805086970329,
      0.204673275351524,
      0.120126761496067,
      0.084127776324749,
      0.0933215767145157,
      0.0972219258546829,
      0.0929570868611336,
      0.100519642233849,
      0.113021150231361,
      0.113577805459499,
      0.162301242351532,
      0.213703513145447,
      0.159369543194771,
      0.0863623917102814,
      0.106629639863968,
      0.11735150963068,
      0.111609674990177,
      0.118302516639233,
      0.114673517644405,
      0.107870861887932,
      0.103729173541069,
      0.130211055278778,
      0.119867503643036,
      0.0826122164726257,
      0.0952290818095207,
      0.102310955524445,
      0.100703597068787,
      0.100098371505737,
      0.108853064477444,
      0.105259321630001,
      0.0985159650444984,
      0.104784242808819,
      0.107802629470825,
      0.0981355458498001,
      0.112167000770569,
      0.190311953425407,
      0.180453032255173,
      0.112010546028614,
      0.0804127901792526,
      0.091979093849659,
      0.0939751863479614,
      0.0911057442426682,
      0.107156567275524,
      0.108285702764988,
      0.0967139080166817,
      0.109042726457119,
      0.113721087574959,
      0.099270299077034,
      0.0924370735883713,
      0.131297543644905,
      0.116597078740597,
      0.0884519442915916,
      0.0943154692649841,
      0.109540969133377,
      0.0929282978177071,
      0.100015446543694,
      0.197402268648148,
      0.203021958470345,
      0.137580052018166,
      0.0982035845518112,
      0.0736836716532707,
      0.0807811543345451,
      0.118354208767414,
      0.19864447414875,
      0.190850809216499,
      0.118050210177898,
      0.0868589282035828,
      0.0732058882713318,
      0.0812504887580872,
      0.110612921416759,
      0.193008109927177,
      0.186664491891861,
      0.115302890539169,
      0.0826915800571442,
      0.0684330761432648,
      0.0739424377679825,
      0.117691807448864,
      0.189044490456581,
      0.180955812335014,
      0.114464603364468,
      0.0830621868371964,
      0.0707893818616867,
      0.0815899148583412,
      0.0951918810606003,
      0.104056492447853,
      0.0976038798689842,
      0.0937479510903358,
      0.0984829589724541,
      0.101585388183594,
      0.0884547904133797,
      0.127911299467087,
      0.19876092672348,
      0.183994501829147,
      0.103821344673634,
      0.0508867837488651,
      0.0445624627172947,
      0.0450913980603218,
      0.0551515072584152,
      0.0762496367096901,
      0.0880272388458252,
      0.0912103429436684,
      0.098698154091835,
      0.0919930711388588,
      0.0848367214202881,
      0.120641142129898,
      0.149820223450661,
      0.138635635375977,
      0.100756041705608,
      0.101889491081238,
      0.104571722447872,
      0.099805623292923,
      0.159754902124405,
      0.215594798326492,
      0.178717523813248,
      0.102612212300301,
      0.0856697633862495,
      0.0921223238110542,
      0.0964287295937538,
      0.0974840968847275,
      0.0914983674883842,
      0.0973561257123947,
      0.0981867164373398,
      0.180156424641609,
      0.211505889892578,
      0.122714526951313,
      0.0805552452802658,
      0.0977365002036095,
      0.0883818939328194,
      0.0903136283159256,
      0.103113941848278,
      0.105881072580814,
      0.0975931510329247,
      0.111318334937096,
      0.13091242313385,
      0.10762570053339,
      0.0899105444550514,
      0.106634587049484,
      0.107941351830959,
      0.100790061056614,
      0.106590792536736,
      0.111767806112766,
      0.108031801879406,
      0.102591134607792,
      0.105130650103092,
      0.105577304959297,
      0.0965773910284042,
      0.136670827865601,
      0.201963201165199,
      0.171868816018105,
      0.0906896963715553,
      0.0953308120369911,
      0.109235383570194,
      0.111209571361542,
      0.116319835186005,
      0.12160512059927,
      0.114151380956173,
      0.112704083323479,
      0.117424793541431,
      0.115899421274662,
      0.110035315155983,
      0.131553962826729,
      0.138970211148262,
      0.0975040942430496,
      0.0822946354746819,
      0.105460785329342,
      0.10689552128315,
      0.0791959539055824,
      0.1295255869627,
      0.205219104886055,
      0.180576309561729,
      0.123638436198235,
      0.102619551122189,
      0.0956474766135216,
      0.0971284508705139,
      0.148865044116974,
      0.207038447260857,
      0.167023837566376,
      0.103491693735123,
      0.0952486246824265,
      0.0977481529116631,
      0.0987438559532166,
      0.145950257778168,
      0.209153681993484,
      0.170688703656197,
      0.105745702981949,
      0.0985138788819313,
      0.0874407365918159,
      0.073967806994915,
      0.138796240091324,
      0.202401980757713,
      0.157790794968605,
      0.101006627082825,
      0.0973076000809669,
      0.0983002334833145,
      0.108470626175404,
      0.116159170866013,
      0.117233864963055,
      0.115830823779106,
      0.107364922761917,
      0.102661579847336,
      0.107531443238258,
      0.107234984636307,
      0.164798617362976,
      0.210361137986183,
      0.162033230066299,
      0.0884075239300728,
      0.05758436024189,
      0.0769338011741638,
      0.0777529701590538,
      0.0746687352657318,
      0.0887664258480072,
      0.10409265011549,
      0.110333375632763,
      0.11179718375206,
      0.111433528363705,
      0.113179229199886,
      0.141345575451851,
      0.15551483631134,
      0.136834055185318,
      0.109834097325802,
      0.114558540284634,
      0.121420837938786,
      0.119800105690956,
      0.183765709400177,
      0.219021752476692,
      0.146182656288147,
      0.085236631333828,
      0.089203916490078,
      0.0952780023217201,
      0.0997588708996773,
      0.104016490280628,
      0.105101682245731,
      0.111857391893864,
      0.143120259046555,
      0.204266548156738,
      0.185535758733749,
      0.0946604311466217,
      0.0943889319896698,
      0.112003333866596,
      0.110443875193596,
      0.114486463367939,
      0.117706201970577,
      0.115070782601833,
      0.106999158859253,
      0.127670407295227,
      0.134868368506432,
      0.0890546441078186,
      0.0821784436702728,
      0.0968092158436775,
      0.104329109191895,
      0.100668400526047,
      0.106512129306793,
      0.110322430729866,
      0.103920467197895,
      0.106543630361557,
      0.107980810105801,
      0.0995251461863518,
      0.100737176835537,
      0.175842761993408,
      0.208176240324974,
      0.133528053760529,
      0.0765947923064232,
      0.0881660357117653,
      0.0923685804009438,
      0.0895131155848503,
      0.10705191642046,
      0.113203354179859,
      0.0998256802558899,
      0.105864100158215,
      0.11270710080862,
      0.106281146407127,
      0.0945028811693192,
      0.127874866127968,
      0.135371044278145,
      0.0913309976458549,
      0.0872319117188454,
      0.10315765440464,
      0.09903534501791,
      0.0770156607031822,
      0.16369041800499,
      0.216676965355873,
      0.154393240809441,
      0.105108939111233,
      0.0861038118600845,
      0.0834437534213066,
      0.0893776565790176,
      0.174752905964851,
      0.211778044700623,
      0.135029181838036,
      0.091969907283783,
      0.0787594839930534,
      0.0806930512189865,
      0.0762034878134727,
      0.173251181840897,
      0.218353793025017,
      0.139995723962784,
      0.0860686600208282,
      0.0698979571461678,
      0.0753347501158714,
      0.078019492328167,
      0.173137485980988,
      0.213727667927742,
      0.140261933207512,
      0.0871979966759682,
      0.0713348388671875,
      0.0744035094976425,
      0.0838178247213364,
      0.0977132543921471,
      0.10257139056921,
      0.0953858643770218,
      0.0972215384244919,
      0.105134949088097,
      0.0868181362748146,
      0.0885496661067009,
      0.0842152982950211,
      0.075836218893528,
      0.0989677608013153,
      0.0849175155162811,
      0.0499841533601284,
      0.0466825142502785,
      0.0478585623204708,
      0.181867003440857,
      0.207256153225899,
      0.12096781283617,
      0.0689301267266273,
      0.0774319842457771,
      0.0838725790381432,
      0.0958371013402939,
      0.132585287094116,
      0.154336079955101,
      0.121078774333,
      0.0960649624466896,
      0.100877515971661,
      0.100661061704159,
      0.118298009037971,
      0.126344367861748,
      0.112613342702389,
      0.112160876393318,
      0.103615269064903,
      0.0992782190442085,
      0.0903133079409599,
      0.089887760579586,
      0.0992680937051773,
      0.0977436304092407,
      0.0978429317474365,
      0.096939392387867,
      0.0996656641364098,
      0.099797323346138,
      0.107738256454468,
      0.112960338592529,
      0.101107440888882,
      0.0925634503364563,
      0.101150743663311,
      0.102185219526291,
      0.0981061235070229,
      0.0872017368674278,
      0.127308189868927,
      0.123454958200455,
      0.0928393602371216,
      0.101364888250828,
      0.106408149003983,
      0.101067200303078,
      0.100723125040531,
      0.1084960475564,
      0.106850624084473,
      0.103006020188332,
      0.112580798566341,
      0.116787292063236,
      0.104867987334728,
      0.0802779868245125,
      0.0487204045057297,
      0.046046681702137,
      0.0668199509382248,
      0.0662025660276413,
      0.0634124726057053,
      0.064740389585495,
      0.0652912706136703,
      0.060233436524868,
      0.0457184389233589,
      0.0491536483168602,
      0.0542386025190353,
      0.046295028179884,
      0.050627276301384,
      0.0656125620007515,
      0.119860529899597,
      0.08588045835495,
      0.0340931341052055,
      0.0288790334016085,
      0.0439778789877892,
      0.0406895875930786,
      0.0524443574249744,
      0.0581331625580788,
      0.0356507822871208,
      0.03933996707201,
      0.0571588799357414,
      0.0567613691091537,
      0.0416942089796066,
      0.0517638884484768,
      0.0668709129095078,
      0.0644241571426392,
      0.0427514798939228,
      0.0551348105072975,
      0.0703488811850548,
      0.0595149174332619,
      0.0520351603627205,
      0.050440326333046,
      0.0464891083538532,
      0.0484739765524864,
      0.0561673156917095,
      0.0630229786038399,
      0.0605656132102013,
      0.0840931758284569,
      0.121300987899303,
      0.0917941629886627,
      0.0414007268846035,
      0.032230481505394,
      0.0340766683220863,
      0.0442159585654736,
      0.0450420007109642,
      0.0354365482926369,
      0.0563236363232136,
      0.0649628639221191,
      0.0540778748691082,
      0.0530504696071148,
      0.0628993809223175,
      0.0578644461929798,
      0.0577041245996952,
      0.06479761749506,
      0.0644614100456238,
      0.0566263422369957,
      0.0615250319242477,
      0.0684710443019867,
      0.0613246895372868,
      0.0464910492300987,
      0.049550287425518,
      0.0612017437815666,
      0.0580896958708763,
      0.0584356561303139,
      0.0578647777438164,
      0.0969050526618958,
      0.116885215044022,
      0.0777475833892822,
      0.037835206836462,
      0.0344564951956272,
      0.0496816858649254,
      0.0489458367228508,
      0.0354017987847328,
      0.0483814068138599,
      0.0545185059309006,
      0.0604965426027775,
      0.0629559308290482,
      0.0672905817627907,
      0.0721395686268806,
      0.0590725652873516,
      0.0569721274077892,
      0.058089729398489,
      0.0547067672014236,
      0.0567233599722385,
      0.0549622178077698,
      0.0598951280117035,
      0.061500858515501,
      0.0537957027554512,
      0.057365421205759,
      0.0597456134855747,
      0.053315632045269,
      0.0503542646765709,
      0.0542367473244667,
      0.0957147553563118,
      0.120785310864449,
      0.0771973580121994,
      0.0338334627449512,
      0.0369692258536816,
      0.0502114407718182,
      0.05523881316185,
      0.0510306656360626,
      0.0465357229113579,
      0.0507172457873821,
      0.0544062256813049,
      0.0541051737964153,
      0.0533290840685368,
      0.0510848723351955,
      0.0485895052552223,
      0.0408652983605862,
      0.0398912020027637,
      0.0415292531251907,
      0.0490187257528305,
      0.047745481133461,
      0.0489798039197922,
      0.0626147612929344,
      0.0673660263419151,
      0.0651153922080994,
      0.052006158977747,
      0.0641565471887589,
      0.0744263976812363,
      0.0693560317158699,
      0.100990273058414,
      0.116794869303703,
      0.0686673074960709,
      0.0366900786757469,
      0.037017609924078,
      0.0445478670299053,
      0.0521560423076153,
      0.0594666972756386,
      0.0563362464308739,
      0.0518257543444633,
      0.0568226501345634,
      0.0636743381619453,
      0.0632253885269165,
      0.0581317730247974,
      0.0571446307003498,
      0.0542226731777191,
      0.0451258756220341,
      0.0457800105214119,
      0.0434922054409981,
      0.051516804844141,
      0.0587953664362431,
      0.0499556660652161,
      0.0478802360594273,
      0.0476354509592056,
      0.0461270436644554,
      0.0432795882225037,
      0.0492901615798473,
      0.0626300051808357,
      0.110719561576843,
      0.120205603539944,
      0.0681059658527374,
      0.0295955501496792,
      0.034259244799614,
      0.0479414574801922,
      0.0654271245002747,
      0.0626902431249619,
      0.0469529516994953,
      0.0498628430068493,
      0.0528800375759602,
      0.0476403497159481,
      0.0384743176400661,
      0.0452378392219543,
      0.0531716495752335,
      0.0565220937132835,
      0.0647290349006653,
      0.0683437362313271,
      0.0559509992599487,
      0.0455365516245365,
      0.0456789620220661,
      0.0481057390570641,
      0.0527703016996384,
      0.0526505224406719,
      0.0505797266960144,
      0.0483422987163067,
      0.048858068883419,
      0.0482935644686222,
      0.107173822820187,
      0.120756551623344,
      0.0582724064588547,
      0.0383151657879353,
      0.0539436116814613,
      0.0583584122359753,
      0.0484519973397255,
      0.0508070401847363,
      0.0561137013137341,
      0.061144482344389,
      0.0655208379030228,
      0.0622640661895275,
      0.0654901266098022,
      0.0573781654238701,
      0.0487789586186409,
      0.0524422042071819,
      0.0609532482922077,
      0.0729082077741623,
      0.076799139380455,
      0.0639785826206207,
      0.0485523603856564,
      0.0644190907478333,
      0.0779421105980873,
      0.0716925337910652,
      0.0657649636268616,
      0.0594179518520832,
      0.0592000968754292,
      0.0524759329855442,
      0.105087831616402,
      0.118868015706539,
      0.0591121912002563,
      0.0334103889763355,
      0.0485914871096611,
      0.054854579269886,
      0.0430601797997952,
      0.0410412475466728,
      0.0484377704560757,
      0.0684918537735939,
      0.0732555538415909,
      0.053437415510416,
      0.0467039160430431,
      0.0451595298945904,
      0.0233237519860268,
      0.00452761258929968,
      0.00481452140957117,
      0.00397392967715859,
      0.00346919312141836,
      0.00283369980752468,
      0.00253859395161271,
      0.00232174340635538,
      0.00223387475125492,
      0.00196699309162796,
      0.00169523828662932,
      0.00136979308445007,
      0.00113723776303232,
      0.00101698364596814,
      0.000830008648335934,
      0.000727552687749267,
      0.00058552878908813,
      0.000513038015924394,
      0.000508199096657336,
      0.00046819236013107,
      0.00041316487477161,
      0.000389453663956374,
      0.000307260430417955,
      0.000308075366774574,
      0.000269362557446584,
      0.000307227688608691,
      0.000291538512101397,
      0.000254814367508516,
      0.000237554151681252,
      0.000293281103949994,
      0.000250045792199671,
      0.000217099164729007,
      0.000207639313885011,
      0.000262634799582884,
      0.000230845835176297,
      0.00020793525618501,
      0.00016422123007942,
      0.000131348133436404,
      0.000116420720587485,
      0.000091070425696671,
      0.0000656272677588277,
      0.0000532209887751378,
      0.0000310715367959347,
      0.0000183811625902308,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000116504106699722,
      0.0000104540986285429
    ],
    "energy_curve_sub_bass": [
      4.08575586919183e-9,
      0.0000357583274759341,
      0.0000706471916690355,
      0.0000460737804137858,
      0.00011202832765419,
      0.0000672028505631351,
      0.0000457424377287428,
      0.0000844367906633351,
      0.0000362289159208309,
      0.0000344891880351019,
      0.0000823234188058272,
      0.0000469403895743422,
      0.117857031384025,
      0.0114461298480878,
      0.129029257924425,
      0.126914755608281,
      0.000279890892778745,
      0.12853312380853,
      0.127322486211854,
      0.00386873027823999,
      0.122154424379588,
      0.122976979981335,
      0.107737844945066,
      0.0157118288960166,
      0.160301356780624,
      0.0954317627559822,
      0.150483643947876,
      0.178873606017663,
      0.0498567719047112,
      0.133428948253383,
      0.155077942713734,
      0.104355446349715,
      0.249378429742147,
      0.257489356881084,
      0.160958382896283,
      0.177453944295531,
      0.052674666185909,
      0.111152653998715,
      0.185092395077167,
      0.106481651684669,
      0.0407937286385048,
      0.145632998393014,
      0.0355786084822829,
      0.161285738899398,
      0.216574000487673,
      0.137493214063319,
      0.192325213368146,
      0.17267667847623,
      0.0950464800220641,
      0.152881955575202,
      0.168805079082328,
      0.0461276395103551,
      0.205160088722819,
      0.0891963721203127,
      0.100445602527686,
      0.246684389447926,
      0.254768396420583,
      0.158819355725476,
      0.175641935133029,
      0.0560569340645242,
      0.126300219071418,
      0.234945967083067,
      0.0324708031919573,
      0.0499926789391493,
      0.135363853096051,
      0.0378178059926902,
      0.234775062019254,
      0.192915759118031,
      0.095161181420008,
      0.203052102352274,
      0.180180920311831,
      0.07598876420061,
      0.164259673900657,
      0.171673648619668,
      0.0548213351839945,
      0.209335935615877,
      0.0703228713427359,
      0.154852839311406,
      0.218484972462675,
      0.255627955062329,
      0.151269594168295,
      0.16465839731379,
      0.0530529524737235,
      0.119310272634163,
      0.236093647558378,
      0.0257490047063611,
      0.0508184315487124,
      0.131702435074574,
      0.0418684349294846,
      0.241315260385784,
      0.231452513855611,
      0.123623272269547,
      0.130181460557763,
      0.163029283303997,
      0.0631912673061923,
      0.175861747780773,
      0.165391382368196,
      0.0675610288038427,
      0.200775423825586,
      0.0831175450328439,
      0.191841260634711,
      0.231052972594817,
      0.194677560252917,
      0.156600947514281,
      0.161815171565997,
      0.048448958893552,
      0.19085788600746,
      0.172188620843041,
      0.0264648559194786,
      0.0549760336235857,
      0.0322825031309901,
      0.0449816172813043,
      0.0404812334618066,
      0.0477683613428852,
      0.0585158066430421,
      0.195123476982366,
      0.115823152272247,
      0.0660316058925806,
      0.256023512176377,
      0.164320580831635,
      0.166212888195252,
      0.172776468570117,
      0.11237223335553,
      0.171631097963528,
      0.146466888163101,
      0.0961269385829885,
      0.0805250836716428,
      0.16041805319371,
      0.0488703079309494,
      0.127680854771698,
      0.246430691353364,
      0.131573639065482,
      0.0528533930101777,
      0.128247979007559,
      0.0475683857904739,
      0.0290138393308497,
      0.0543270975516737,
      0.0676311163901157,
      0.189920403692555,
      0.11831524907886,
      0.138669908041942,
      0.183390097299956,
      0.151686279755365,
      0.180844388216074,
      0.170649782831977,
      0.109401827544013,
      0.169520554037429,
      0.150070387928444,
      0.0952515130508167,
      0.091184322698794,
      0.159939641408012,
      0.0470978023974553,
      0.132393983006007,
      0.262555796338095,
      0.11760687129917,
      0.0501268565251173,
      0.127521555367163,
      0.0518072971409629,
      0.0282479762013554,
      0.0552287300377116,
      0.0748862798013658,
      0.181078508381631,
      0.119666683731789,
      0.1339862996082,
      0.171074572125321,
      0.0385550178456096,
      0.122079475666142,
      0.182888358065124,
      0.0828993090061997,
      0.243071115676173,
      0.192628411586513,
      0.105362851433201,
      0.167327810369529,
      0.137578082768616,
      0.0356767847856323,
      0.2309769964532,
      0.143546868508529,
      0.0305421201880953,
      0.155214566934241,
      0.0283691686334788,
      0.0844465955179795,
      0.184955658692981,
      0.228011181964985,
      0.149814126389125,
      0.180334654565759,
      0.117280773233686,
      0.128103385325902,
      0.177017142678675,
      0.0289446086610058,
      0.135846601954806,
      0.164687236382891,
      0.0890889042400807,
      0.252770330327192,
      0.240052608007347,
      0.13107243278123,
      0.117292858930043,
      0.118179678004633,
      0.0332074527636435,
      0.228751325266543,
      0.139791088855846,
      0.0344479731027126,
      0.148389689473575,
      0.0348493185278274,
      0.14050239874652,
      0.188062420858387,
      0.169898104738142,
      0.16113705450123,
      0.179597098079825,
      0.104398676247494,
      0.139885987267975,
      0.181128052579058,
      0.0367565532094348,
      0.129520630610197,
      0.156312305602444,
      0.0924092206032296,
      0.255335791989022,
      0.249177916113584,
      0.167117529447235,
      0.179306488974505,
      0.0608943990721939,
      0.0321244902773225,
      0.225252378322826,
      0.140340604293809,
      0.0366232227609935,
      0.154142479063422,
      0.0358386778614433,
      0.135837739608873,
      0.220200475815744,
      0.135954253961143,
      0.183502546241426,
      0.176548132984727,
      0.093229350886059,
      0.148321648876078,
      0.177142599162372,
      0.0411444755020444,
      0.141177613837306,
      0.149970630159988,
      0.0970523063515725,
      0.245711366859415,
      0.248715747279088,
      0.167716279030604,
      0.181152727502091,
      0.0563988503428271,
      0.1003695107508,
      0.182275238875476,
      0.111736883615787,
      0.0419500503083776,
      0.054462203374348,
      0.0366804059811857,
      0.0415383038291194,
      0.035050354488535,
      0.0442777449665354,
      0.125776838571375,
      0.189932735045111,
      0.0913083716553522,
      0.14985207252402,
      0.266344151402368,
      0.126868359105792,
      0.179760545093159,
      0.0985756722438782,
      0.112955245438964,
      0.134985107107197,
      0.197180126121805,
      0.0719220102727161,
      0.176248776266784,
      0.0583182928325685,
      0.133978983649995,
      0.145189974671336,
      0.184539504619558,
      0.0875389879971056,
      0.13145633432161,
      0.0530854813884596,
      0.133069053903148,
      0.130113616018204,
      0.0487566380826971,
      0.113990358963372,
      0.19128334774269,
      0.0851689089100076,
      0.18755830479926,
      0.223920039084198,
      0.144208230588009,
      0.192137412734135,
      0.0776880481955832,
      0.13938328476382,
      0.106836182065232,
      0.198488317047092,
      0.070387543336138,
      0.176692132356701,
      0.0591305798243578,
      0.125397142089621,
      0.149954749589313,
      0.223797185035777,
      0.0469864328037657,
      0.0456924101086268,
      0.128936771508154,
      0.0349188383314128,
      0.043464705265638,
      0.0564871181988333,
      0.105024724967431,
      0.195892854868434,
      0.15950996477282,
      0.126440051404828,
      0.0864265524932436,
      0.106012750514146,
      0.125046831426891,
      0.09100601601594,
      0.123985242233447,
      0.0736516311436778,
      0.133012740005049,
      0.0975311359843164,
      0.169042602911914,
      0.158351605815131,
      0.0451627864658789,
      0.163721669600137,
      0.161852231947532,
      0.0564522315948277,
      0.126700371242505,
      0.149303136225276,
      0.046513597978846,
      0.145060620678613,
      0.158805988008996,
      0.150827893863692,
      0.0783573409529071,
      0.0443131956086123,
      0.17143416731302,
      0.14799249811001,
      0.0890266135712539,
      0.205515003207253,
      0.0821467288707736,
      0.180444658515699,
      0.246149232524872,
      0.157691216400036,
      0.162627437769631,
      0.158378881021797,
      0.0475309787612673,
      0.219692383038019,
      0.137511923132684,
      0.0278883878583637,
      0.0701577694584743,
      0.116939873470121,
      0.0466051215625562,
      0.222002882298287,
      0.233296796673538,
      0.149290278991268,
      0.194513418347346,
      0.11061835735715,
      0.123966344719669,
      0.166857131896427,
      0.146200700600294,
      0.163748266946431,
      0.16043893387404,
      0.104265948533388,
      0.156857124932955,
      0.141375525500617,
      0.0886691701657709,
      0.0850755794392506,
      0.151791958492616,
      0.0436538042777553,
      0.127595151869238,
      0.241407744032428,
      0.104879133268371,
      0.105611446561061,
      0.0644416179394825,
      0.0488743619366358,
      0.113958432963614,
      0.136431361743041,
      0.0694746686005791,
      0.170072229063412,
      0.12132848850324,
      0.133538425365656,
      0.150652566880037,
      0.179060421813113,
      0.131468025908647,
      0.155768192856394,
      0.100221216723805,
      0.155520421777449,
      0.149977565245644,
      0.0844735598143432,
      0.0938293934392967,
      0.141160767321786,
      0.0415825701353523,
      0.163310481362261,
      0.20465221372964,
      0.112232127424946,
      0.0440500546329192,
      0.124137733663075,
      0.0429213429112078,
      0.0261725341429539,
      0.0545124879432444,
      0.074066277288235,
      0.0523824626126147,
      0.0000312805102715999,
      0.0000382187937373654,
      0.0000155518691464811,
      0.0000457604710389249,
      0.0000314997899522374,
      0.000026366145658,
      0.0000450461332223854,
      0.0000191852826330728,
      0.0000254752039012424,
      0.0000407695699363633,
      0.0000361354029926021,
      0.000111127586391974,
      0.000079036547787753,
      0.000132104801817614,
      0.0000959443453345496,
      0.0000811693798831616,
      0.0000855631026403702,
      0.0000517521741659035,
      0.0000823020288471136,
      0.0000629490918740764,
      0.000124306546249386,
      0.0000787659387396288,
      0.0000221197140300002,
      0.00000151935072920751,
      0.00000143412280110195,
      8.98765403393811e-7,
      1.07830021024112e-7,
      4.22763756278865e-9,
      2.7378797800221e-9
    ],
    "energy_curve_low_mid": [
      2.67971316881627e-12,
      0.0248938391603563,
      0.0461818523364627,
      0.054052522910015,
      0.0425813204447172,
      0.0623014407478016,
      0.0472654668679314,
      0.05329606997484,
      0.0495383266883982,
      0.0410082728487396,
      0.0504169545988162,
      0.0183495161117292,
      0.105059920427115,
      0.0356713816445604,
      0.105252218583056,
      0.119560769760365,
      0.0313188204291471,
      0.0984004629985642,
      0.0999417786924334,
      0.0850472792012538,
      0.0684064952322644,
      0.104756546031409,
      0.107897063744011,
      0.0664388420128833,
      0.115287622142516,
      0.0435641051816259,
      0.16442592453779,
      0.092028148049946,
      0.107755100455185,
      0.138237925512684,
      0.15125148380176,
      0.0929593374532366,
      0.17897464020906,
      0.229664904738654,
      0.157867496499106,
      0.130281801435943,
      0.0597628357508286,
      0.109862257793894,
      0.19032559555787,
      0.111659527300873,
      0.0223855203688886,
      0.131637854248444,
      0.147853102472755,
      0.186240777199394,
      0.150061761940908,
      0.193914561810486,
      0.0851258632685233,
      0.110486346351765,
      0.0526544915310215,
      0.148300707122867,
      0.0921251215741135,
      0.128020306488899,
      0.164115817758768,
      0.125282568824205,
      0.0857534388982454,
      0.189237935912251,
      0.228395485535693,
      0.151889077530986,
      0.135727888234503,
      0.0599164493952594,
      0.0875248540883738,
      0.210742392667843,
      0.0947591591637413,
      0.0288193110010696,
      0.140892073096872,
      0.142259874448575,
      0.185941273494699,
      0.200649903836226,
      0.180773857195437,
      0.0454119762806462,
      0.223048955174194,
      0.0725403037834222,
      0.12774121934419,
      0.195347057862375,
      0.10909769710809,
      0.121926714542363,
      0.0842293280023329,
      0.114637456382281,
      0.155417717133321,
      0.217682886407579,
      0.135168007024114,
      0.115261563353319,
      0.137099092024019,
      0.12614404367385,
      0.198319184010229,
      0.0415435783612148,
      0.0798423704237538,
      0.133760962591455,
      0.0607257704459387,
      0.222231004524728,
      0.214171566252739,
      0.18643539886744,
      0.145670977129355,
      0.17101259506224,
      0.070984607869557,
      0.140214482201644,
      0.212376943760644,
      0.107517877465567,
      0.115297087000668,
      0.0843002581140531,
      0.0959006672536457,
      0.195829608549665,
      0.185173634143325,
      0.127786207000709,
      0.127150922403378,
      0.134790823093441,
      0.169261260024531,
      0.143699520415739,
      0.040404315934624,
      0.0791147047777,
      0.0885326533712968,
      0.0748798398992354,
      0.128093771309455,
      0.138719587964801,
      0.145507590722132,
      0.154303827118584,
      0.038958431520381,
      0.0608343320975687,
      0.13504842434866,
      0.105144919782328,
      0.0974499940018255,
      0.0747908050235155,
      0.0400181603998583,
      0.106468361989794,
      0.108576001627176,
      0.0410344251077599,
      0.028691991437087,
      0.078657229789298,
      0.0428763734626917,
      0.103382421822047,
      0.140708826593268,
      0.102132434986898,
      0.0244606851334321,
      0.0916710429387537,
      0.0456315527721703,
      0.0543887918983206,
      0.0378504341472802,
      0.0213537055168807,
      0.0928396966158332,
      0.0419944407466881,
      0.0721601734412242,
      0.124983401108412,
      0.107515126472302,
      0.0955158679722063,
      0.0729875924871009,
      0.0458356760253436,
      0.102808250385029,
      0.105880990993803,
      0.0402463093824349,
      0.0305749897294576,
      0.0878230715302676,
      0.0384800062707945,
      0.102861257797578,
      0.141395158985305,
      0.0956864868216786,
      0.0225087034307052,
      0.088592113019903,
      0.0475079944333776,
      0.0546801724315799,
      0.0405516516413211,
      0.0226194181341067,
      0.100590849543423,
      0.0747219717097411,
      0.119768851443971,
      0.221999822647603,
      0.084444271053365,
      0.0747697819506147,
      0.084095719547501,
      0.112785754589408,
      0.233707489798094,
      0.218542051012148,
      0.176533373207807,
      0.104544477037375,
      0.253177607463743,
      0.187142109956467,
      0.154266437086371,
      0.100848508696455,
      0.102637867909919,
      0.129400077769837,
      0.0844242760675164,
      0.133178462991952,
      0.196954563496418,
      0.130089878886605,
      0.161137140544283,
      0.115150295214941,
      0.0700089489841554,
      0.151547167777625,
      0.192784618857488,
      0.101242682631657,
      0.0588194421084858,
      0.0934123511585347,
      0.100117355807902,
      0.250152527222803,
      0.215633391519958,
      0.190466826344445,
      0.135789818769695,
      0.262452266293728,
      0.169537974194295,
      0.154556038800341,
      0.0947324488221927,
      0.094970374097174,
      0.130714242926323,
      0.0811458332413437,
      0.130258161206871,
      0.229708050410001,
      0.100200943337404,
      0.154925238170109,
      0.17198725175434,
      0.0993931187040925,
      0.152666805492962,
      0.114086673191316,
      0.0496241942591552,
      0.0446682950573723,
      0.202469632486734,
      0.108099520073418,
      0.1674599840279,
      0.181010806898404,
      0.110027444018959,
      0.124982523187002,
      0.155073825144755,
      0.186132375337473,
      0.198961670082512,
      0.119360249438708,
      0.0266453032168956,
      0.0996675966666107,
      0.130980659283782,
      0.133942358406092,
      0.230986028728718,
      0.209266346821782,
      0.081263000908844,
      0.221797630821008,
      0.0993216384200993,
      0.152310402407968,
      0.117890824005946,
      0.0510759540223567,
      0.0579937565516578,
      0.214698497989993,
      0.0932672995877411,
      0.182242681948683,
      0.15502152000462,
      0.109304256510369,
      0.122180009151369,
      0.171792879948336,
      0.179934213193859,
      0.234809889908187,
      0.0554378422065932,
      0.0328002402557649,
      0.0665655350705762,
      0.133973492450825,
      0.130960555845754,
      0.234902784900344,
      0.132381697737428,
      0.0267767428222628,
      0.0955686624293277,
      0.0391033963212983,
      0.0993926249790957,
      0.15104505587332,
      0.103660824186362,
      0.0868263996077398,
      0.0315839942774118,
      0.057342550078184,
      0.104195314506691,
      0.0982165917285346,
      0.0225632127740985,
      0.0892244816838279,
      0.0409258862242061,
      0.0833027722896686,
      0.11584111605142,
      0.134183682545556,
      0.0417796499356044,
      0.0685165505667211,
      0.0518453415454603,
      0.0958592255907937,
      0.0944139080079048,
      0.0316584838338056,
      0.0306767739799748,
      0.0939808037167096,
      0.0447048720180232,
      0.149296638562542,
      0.111583511475651,
      0.0969955556319448,
      0.0822279633634823,
      0.0316927440827884,
      0.103999438893365,
      0.0640396831015489,
      0.0817444576804261,
      0.0282481625149449,
      0.0894911587980265,
      0.0419246037635955,
      0.0970629805574309,
      0.0951966928366733,
      0.138370040611088,
      0.0381660073657296,
      0.0832127264943447,
      0.0427408488121323,
      0.052678735500007,
      0.0361373024511333,
      0.0341755334991014,
      0.0288226755872302,
      0.0503266370039949,
      0.0404874779503171,
      0.083722563178379,
      0.0678497959025895,
      0.0922231639151654,
      0.0989452311473276,
      0.149683246959026,
      0.102034808675448,
      0.122512223864676,
      0.0435106269435342,
      0.134380427558015,
      0.11355624237098,
      0.185364823494693,
      0.165576655262751,
      0.172885469072334,
      0.0950143181049999,
      0.069075600854151,
      0.146909874429928,
      0.143250464146897,
      0.2189014835271,
      0.140988659683557,
      0.144132860457595,
      0.0997554640508073,
      0.0512744286631696,
      0.0820679547133814,
      0.0848758239377112,
      0.09061275983281,
      0.0261579876469495,
      0.0831070566015501,
      0.0342766750024112,
      0.083294294776705,
      0.144170423009635,
      0.076398992106971,
      0.0839686999661012,
      0.101081656638357,
      0.0765196364937618,
      0.150754181415062,
      0.0992534006155516,
      0.0206962374907094,
      0.0376676059696529,
      0.0682546114109527,
      0.0503928243832276,
      0.139647087377722,
      0.145174688284628,
      0.0918431651993945,
      0.0784777219597638,
      0.0399042169774254,
      0.0690364931711039,
      0.119117296223387,
      0.0988078537449444,
      0.0892399775270633,
      0.0683777557710644,
      0.0437156150906871,
      0.097299114943774,
      0.10120498725107,
      0.036460482053941,
      0.0277473552301442,
      0.0779304514971049,
      0.0362685557072959,
      0.0974776063332839,
      0.134854984345673,
      0.0925115160959322,
      0.0723178961584099,
      0.0257739765267667,
      0.0461085714369984,
      0.0962491875376139,
      0.0918306002025928,
      0.0224719491835616,
      0.0839147625044955,
      0.0396173146805361,
      0.0763317170617385,
      0.110770825232016,
      0.13895201366237,
      0.0513431739502609,
      0.0654059740926582,
      0.0526751032206235,
      0.0948068216539614,
      0.0939106297467446,
      0.034411792607283,
      0.0295442300079103,
      0.082559224059345,
      0.044457353965314,
      0.137701974179807,
      0.0973565786209086,
      0.0854465375081478,
      0.0213250763977098,
      0.0855606626686954,
      0.0517450127475036,
      0.0463794805255531,
      0.0367436222289581,
      0.0258260896428901,
      0.016915773292948,
      0.00227504003174262,
      0.00110732727235234,
      0.00113160175470763,
      0.00142122379000203,
      0.00111172487359215,
      0.00106341820101007,
      0.00116052967379703,
      0.000819790956077524,
      0.00130649019435674,
      0.0013439221191691,
      0.00145607989688209,
      0.00137443141429455,
      0.000962330911481696,
      0.00125783275465593,
      0.00110239537887292,
      0.00093637039726895,
      0.000968674344553587,
      0.000585283585692145,
      0.000697696137861705,
      0.000828147707835164,
      0.00156118262638397,
      0.000856720100088916,
      0.000247283705576108,
      0.000001489895987467,
      5.05733146970681e-7,
      2.4839490422327e-7,
      5.0649423106208e-8,
      4.08516821541202e-42,
      2.81369882725708e-11
    ],
    "energy_curve_mid": [
      7.48375331127365e-13,
      0.0535857549134061,
      0.0843084991237337,
      0.0851754061052375,
      0.0500029644943256,
      0.0746133702125266,
      0.0509269624575609,
      0.0652484872401167,
      0.0593075129061011,
      0.0409092111469708,
      0.0640266772553202,
      0.0728395264636521,
      0.0338346124425652,
      0.0299519626909748,
      0.0171596939840205,
      0.0242802579900654,
      0.023986262993345,
      0.0249025191277329,
      0.0190553473331899,
      0.0276235318596864,
      0.0212373516921363,
      0.0145503859570564,
      0.0318962192972366,
      0.137081521575699,
      0.225416363930709,
      0.225489804390269,
      0.158199111055823,
      0.259558108786726,
      0.207533993948622,
      0.0814452640941062,
      0.143428754057072,
      0.208500799784557,
      0.115950748242241,
      0.075710701459046,
      0.129130075442082,
      0.0914133137693131,
      0.260505641491288,
      0.276778878651376,
      0.102182098023282,
      0.179662332444504,
      0.264547608886167,
      0.11431922574122,
      0.227715986850899,
      0.155391546195025,
      0.0723262533377371,
      0.13331582354033,
      0.103762604275066,
      0.249343271948571,
      0.206113872656265,
      0.170305829137398,
      0.281832101720843,
      0.174644977858774,
      0.0862798777514877,
      0.143342522392233,
      0.218052545337851,
      0.103226076285168,
      0.0710304136529497,
      0.131728240811707,
      0.0896347848402638,
      0.265647359183912,
      0.279081606485732,
      0.0857726241439084,
      0.255672959412209,
      0.200741394822107,
      0.121781605990632,
      0.230464792700615,
      0.136801944340608,
      0.0769609265887329,
      0.136337381397379,
      0.062376990439709,
      0.0935446787418089,
      0.209349181543889,
      0.0924727088561078,
      0.127614207079892,
      0.155896202110695,
      0.112277612733431,
      0.137586490504378,
      0.155343288120852,
      0.076751845249413,
      0.076183010575841,
      0.164093086021282,
      0.131897934158444,
      0.227642796902526,
      0.22653820559611,
      0.0798502832407871,
      0.264646523097203,
      0.186012144715274,
      0.101104437001515,
      0.195559451117217,
      0.112589853259376,
      0.0953173468820255,
      0.17459230382127,
      0.0605735905774422,
      0.10863362909063,
      0.183952727383173,
      0.0931839131814357,
      0.123568560587799,
      0.153950091719879,
      0.11767265053742,
      0.131754620862787,
      0.146512468684011,
      0.0796990521795578,
      0.127883834855697,
      0.131777549464076,
      0.120383436346451,
      0.238174673866166,
      0.220269383793669,
      0.0938574974837871,
      0.267054061913952,
      0.170511845277602,
      0.1830388300986,
      0.188616857936387,
      0.225423521246031,
      0.186664642656096,
      0.177426191098907,
      0.0609774912947871,
      0.164834775454524,
      0.23284561470814,
      0.128582708916341,
      0.104696547883748,
      0.129603363809452,
      0.122303614194706,
      0.121424727472883,
      0.18381905714713,
      0.156187808967744,
      0.211682692740321,
      0.157379717944241,
      0.120583233147068,
      0.238002281781905,
      0.163413022972782,
      0.0970070599388676,
      0.112604640009354,
      0.160544938971591,
      0.063406720680757,
      0.181707047345645,
      0.227054440254082,
      0.190691474539612,
      0.232249072391546,
      0.0974597079366247,
      0.171543980591354,
      0.232712338368396,
      0.112483915375812,
      0.114288183264558,
      0.129503535848842,
      0.105647668321743,
      0.161900541598595,
      0.159583326991103,
      0.150235431667944,
      0.213303870569814,
      0.155700178427323,
      0.141208844849067,
      0.237886729586248,
      0.150836859649721,
      0.0904065881275676,
      0.111747026215109,
      0.154904142974339,
      0.0623346328748725,
      0.196897738775,
      0.224254979680556,
      0.187440247324608,
      0.213441616635965,
      0.113613067771998,
      0.15966292331904,
      0.251877471773498,
      0.163078578647091,
      0.324844281627156,
      0.105570654146754,
      0.0594945129532323,
      0.193150881201056,
      0.102111918289154,
      0.123552708917634,
      0.205155979151714,
      0.12467481393636,
      0.134032730082706,
      0.183289493342144,
      0.108416680512242,
      0.248709350282311,
      0.210171931341567,
      0.134972362159798,
      0.131816841645693,
      0.180769372095454,
      0.100938840550991,
      0.0360659906002792,
      0.147360062199714,
      0.106924720428088,
      0.186619706911524,
      0.197906736657668,
      0.18310968237949,
      0.313254482537314,
      0.101017833541156,
      0.0643998446964817,
      0.202407511923214,
      0.0783529979609985,
      0.131130350282656,
      0.216878999217081,
      0.127623667641415,
      0.118528453615488,
      0.191184610344145,
      0.121420651436431,
      0.242539043731463,
      0.21204400547023,
      0.112429006526876,
      0.134137009961485,
      0.18804132816002,
      0.0958357734818303,
      0.0757514963693491,
      0.124514895378948,
      0.114452760782539,
      0.200562538367947,
      0.145865738287056,
      0.145823108436008,
      0.292690653813812,
      0.121436504976393,
      0.17374751115664,
      0.193250533658984,
      0.067450364512519,
      0.138077088868168,
      0.220493293584354,
      0.0689298409844666,
      0.117114755194452,
      0.213895387845242,
      0.10003736182382,
      0.160358114458307,
      0.250074034636826,
      0.152751014606676,
      0.223293955811224,
      0.17250465991045,
      0.0609398687717426,
      0.155442957828677,
      0.107366436730986,
      0.0954962773410605,
      0.188781583804901,
      0.135239810612155,
      0.187704801260941,
      0.28002065866172,
      0.115817124038679,
      0.171672857170532,
      0.187802025942124,
      0.0750774750121181,
      0.156524029068634,
      0.183812118214957,
      0.0811596711492586,
      0.111890967331309,
      0.214761473249034,
      0.0944924432004047,
      0.184446406148457,
      0.237780445613335,
      0.218379822498097,
      0.283013393998366,
      0.183026876956355,
      0.0984123422447825,
      0.224835650933742,
      0.101795156392316,
      0.129033194203894,
      0.21573360103333,
      0.156617722063013,
      0.092300467493565,
      0.126207456687706,
      0.138742013638982,
      0.0995367811592854,
      0.180924673851875,
      0.183910553937756,
      0.132025833928027,
      0.218429990017118,
      0.096486179166695,
      0.184071347184629,
      0.231917439942222,
      0.100617691943976,
      0.113546840159873,
      0.14014924160264,
      0.0864229623696991,
      0.190384132233456,
      0.14481833157537,
      0.13843881832438,
      0.222780045608842,
      0.125319192656393,
      0.144002712625648,
      0.220566601253885,
      0.145280939876998,
      0.0920719968490147,
      0.121385911578828,
      0.135690847760604,
      0.0938467673299573,
      0.203835419785024,
      0.174078603082597,
      0.128201120583429,
      0.210406287614974,
      0.109793391947847,
      0.222320583038908,
      0.186025111416794,
      0.101525514034658,
      0.117067737106878,
      0.143799566601114,
      0.0858423564191311,
      0.14751655567768,
      0.198532924890942,
      0.19453436005122,
      0.231171803981237,
      0.127257179650417,
      0.0579976483405636,
      0.0529643900850535,
      0.0622602584236678,
      0.157523433495647,
      0.127377089452257,
      0.136575811574326,
      0.112540662363464,
      0.0711241878546973,
      0.102613772132164,
      0.157213313423559,
      0.108259415365439,
      0.0746001204758287,
      0.0490528939239572,
      0.0222508816861569,
      0.0432485204130828,
      0.0262224011287629,
      0.209590046069832,
      0.109481317155686,
      0.0816754450348609,
      0.0582263962320518,
      0.034333741705495,
      0.119675213156939,
      0.308443730044263,
      0.392096434048885,
      0.318321099666821,
      0.104824599474569,
      0.12940990346856,
      0.163982039400814,
      0.0807553355647917,
      0.152082570113062,
      0.105336325380442,
      0.0684259624443342,
      0.145289121542945,
      0.0644549512706805,
      0.0517521263744226,
      0.148022733646764,
      0.0710153999399329,
      0.0866462746083063,
      0.204218743614624,
      0.0814199966898634,
      0.130058378939046,
      0.175349576648727,
      0.0571985345081041,
      0.0788446976922743,
      0.123727305117119,
      0.0616255331577918,
      0.162279148945993,
      0.220477356047481,
      0.107508991692281,
      0.107332593700724,
      0.123386793144842,
      0.103933500565268,
      0.155045514665229,
      0.149456028317259,
      0.132647970819166,
      0.197669756935137,
      0.144563878816967,
      0.127883913647563,
      0.223370909221223,
      0.149369708693938,
      0.0835692679787315,
      0.109133716873495,
      0.143012134412112,
      0.0830816102321354,
      0.175270194067617,
      0.163143472213211,
      0.12497508505306,
      0.209091168573775,
      0.0954384515975066,
      0.156635428988061,
      0.215823382418141,
      0.104755631178353,
      0.118894573321671,
      0.116273349367762,
      0.0981960753454412,
      0.175474575958779,
      0.134322567307703,
      0.140725467092595,
      0.201816209515773,
      0.13372640390441,
      0.141413868815963,
      0.218227760591898,
      0.137486510860617,
      0.0827908782788933,
      0.115017952096207,
      0.143257095741804,
      0.0521065681129156,
      0.204891607458339,
      0.187253694718714,
      0.17576995809332,
      0.192099759182561,
      0.110426596780012,
      0.164104546441464,
      0.0804495396960006,
      0.116481706894762,
      0.169334284083991,
      0.0756597007165024,
      0.131234459473902,
      0.162648044406548,
      0.111672478877602,
      0.113147572775601,
      0.154043767607753,
      0.0923635506476074,
      0.0956537934259761,
      0.167375831189542,
      0.114516435736148,
      0.0802154557081821,
      0.165035729255855,
      0.100725961930976,
      0.0873280319797558,
      0.161708169443471,
      0.143455410827244,
      0.165244732109029,
      0.127775458359599,
      0.0296932469233033,
      0.0000851028269906306,
      0.00000202039061296824,
      3.85698024698434e-8,
      3.36091307804305e-9,
      2.74644468211158e-41,
      7.85794097683733e-12
    ],
    "energy_curve_high": [
      2.24543738419437e-13,
      0.000455036953464961,
      0.000793542939174213,
      0.000804224578162326,
      0.000551666370141695,
      0.000726403902384641,
      0.000565142577397351,
      0.000671806622143189,
      0.000491007800950158,
      0.000580935195973161,
      0.000521100843348345,
      0.000409241154975898,
      0.000765305547186172,
      0.000596272928943679,
      0.000314371082892438,
      0.000554933080093933,
      0.000613146984715401,
      0.00053850978422764,
      0.000353921804776953,
      0.000633250121372146,
      0.000624026860322211,
      0.000297495100744984,
      0.0104530003183576,
      0.033072395223621,
      0.0223097462713339,
      0.0581754586661497,
      0.0280529755707476,
      0.023884566483634,
      0.0638323599790885,
      0.0524453043606848,
      0.0638785955956134,
      0.060911180508636,
      0.0355361783625006,
      0.0261882371160172,
      0.0524334801302462,
      0.0277652681160857,
      0.0216363559420872,
      0.0591912550911774,
      0.0143920481006568,
      0.0220562727277925,
      0.0733184342740971,
      0.0138748151494339,
      0.0648586050211201,
      0.037422197291591,
      0.041761791457371,
      0.0500391955502607,
      0.0242838577624338,
      0.0196797124199341,
      0.0540129347109266,
      0.0244291752476009,
      0.0274944164877361,
      0.0624072131328167,
      0.0529122280596676,
      0.0697876120493895,
      0.0605796803896811,
      0.039140594735032,
      0.0206046377011251,
      0.0554354666115938,
      0.0168537108816559,
      0.0228756708205391,
      0.0555346150827955,
      0.0127295156339515,
      0.0504236914369174,
      0.0494640725528711,
      0.0108100784018166,
      0.0698407032778649,
      0.0370061533394701,
      0.0341144905472166,
      0.0470949614104187,
      0.114013903409207,
      0.0281291116387677,
      0.0805822162262834,
      0.11545957870463,
      0.0147170169752777,
      0.0915094715646455,
      0.0743494433656345,
      0.0327706534156913,
      0.0898910052948644,
      0.0147316944436353,
      0.0165604710296125,
      0.0643374872874557,
      0.0316575387579062,
      0.045810770440338,
      0.0317971821685784,
      0.0143145982102271,
      0.0717371982252123,
      0.0472464731014094,
      0.0362200774570184,
      0.121943645032065,
      0.0165031008430169,
      0.0145585198413821,
      0.0534928432765687,
      0.113564386116614,
      0.0225302045237392,
      0.0759865862984488,
      0.115345336482897,
      0.0189362269132484,
      0.0940444011393455,
      0.0606211165975134,
      0.0331642508094658,
      0.0880439534234139,
      0.0135044483583478,
      0.0343946575394713,
      0.0568620673218918,
      0.0183866431281898,
      0.0683248546238875,
      0.016339351446618,
      0.018675340505516,
      0.0670039509886426,
      0.0478788322534988,
      0.0414634311085996,
      0.118733246610398,
      0.0336336944822607,
      0.0196136501713513,
      0.053658688255013,
      0.0270646465803722,
      0.033590017869658,
      0.100948410697573,
      0.047224279844358,
      0.0259117716638212,
      0.0536987352680206,
      0.110724683987788,
      0.0254783346608806,
      0.285617235551174,
      0.103830524875593,
      0.0771442964248937,
      0.0664000381997513,
      0.0217060994118446,
      0.0967018611825032,
      0.0610219465579042,
      0.026172860482405,
      0.0455136108531309,
      0.0796322383577959,
      0.0689507472568021,
      0.26445186642843,
      0.160538753943898,
      0.0656038953561337,
      0.0824742109314579,
      0.0433444801769746,
      0.0392125471170214,
      0.103878028551103,
      0.0347421661601045,
      0.0263931794166234,
      0.0555701532477876,
      0.107171024564037,
      0.079965991185687,
      0.253267677048774,
      0.102582696067595,
      0.0792394114748059,
      0.0725771151065766,
      0.0234644593414877,
      0.10247038516925,
      0.0585495857885806,
      0.0253716611846703,
      0.042595265416642,
      0.102446393111867,
      0.0614395541834075,
      0.273813801064238,
      0.143024045969079,
      0.0633785407127739,
      0.0955041274750322,
      0.0341739460603584,
      0.135201122251422,
      0.0949794162075159,
      0.0140349169789893,
      0.0429802917254421,
      0.0703014306105166,
      0.255811795090827,
      0.11149838199261,
      0.0225629604758025,
      0.0331592512559025,
      0.0445725567547773,
      0.0348358986445681,
      0.00965275697461352,
      0.070674277919072,
      0.0178589604318719,
      0.0193443521895812,
      0.0635078771888943,
      0.06782611762559,
      0.0367019872897995,
      0.0640306060937287,
      0.00910745107935009,
      0.178963962244714,
      0.0623930175391225,
      0.0197912592841862,
      0.156948444349264,
      0.0703832406496338,
      0.0134805935996515,
      0.0527199599451012,
      0.103655417706897,
      0.227200895875958,
      0.0955629999052577,
      0.0209189224349113,
      0.0340544030140329,
      0.0417225104525994,
      0.0317120071523331,
      0.00979103348375884,
      0.0690246017636842,
      0.0179214526352311,
      0.0228138384742304,
      0.0719693252652475,
      0.0454460160230497,
      0.0377310071770699,
      0.0617087176703489,
      0.00854590140389121,
      0.207666930966055,
      0.0475702293779096,
      0.0144971700224627,
      0.0531150238787739,
      0.0211569575737379,
      0.0579543193617571,
      0.0638996801684051,
      0.164184323554324,
      0.0166936383938703,
      0.0497846022708645,
      0.0151303611865109,
      0.0094695782088686,
      0.0521465824401141,
      0.0942693333378947,
      0.0237905824180572,
      0.0527799639012868,
      0.0103572870854342,
      0.105188433328659,
      0.124937264126342,
      0.0154569445459933,
      0.0269005703246427,
      0.0504403739275241,
      0.0100210949911582,
      0.0461812633790407,
      0.0812745966742264,
      0.00692985393583462,
      0.0554257394051592,
      0.0629763180771683,
      0.0210646709735903,
      0.0623750979942654,
      0.15507432544704,
      0.0146514320763355,
      0.0466473205921974,
      0.0200702611210011,
      0.011237778981859,
      0.094031509319994,
      0.0468115805935214,
      0.0260266702114631,
      0.0503174223120452,
      0.0101264233353771,
      0.114717446365271,
      0.114442242508304,
      0.0228234592269809,
      0.0518973954437215,
      0.0482169379793366,
      0.014742695492734,
      0.0551395561166513,
      0.0970548996902221,
      0.0279295800664872,
      0.0747019181993912,
      0.0569851811034827,
      0.0230362960567599,
      0.0483327096443099,
      0.0829759340820202,
      0.055495907921542,
      0.267928866416467,
      0.126121432218512,
      0.0416906795431468,
      0.0880358590129884,
      0.0303574208600124,
      0.0425013599061856,
      0.113869584930445,
      0.0309119314741697,
      0.0386648693877466,
      0.0455728456834618,
      0.108992156560533,
      0.142032215167359,
      0.18275427065219,
      0.0986287100141272,
      0.0867001489035308,
      0.0603848229367056,
      0.0220734280457392,
      0.0869597813743514,
      0.057640920848248,
      0.0217332544018878,
      0.0456168648710578,
      0.0935498390606252,
      0.0356473132399719,
      0.294735834967571,
      0.0970248492774122,
      0.0412342982432208,
      0.0838577824111569,
      0.0336217168424056,
      0.0659821255250574,
      0.0968343450794642,
      0.0248880043223165,
      0.0455621347217116,
      0.0505565101213901,
      0.111408807146743,
      0.165970160768331,
      0.197245328619122,
      0.0984604283203297,
      0.0894284208691958,
      0.0590521601753314,
      0.00140350235936474,
      0.000400485354137902,
      0.0022965305691739,
      0.00293119427138957,
      0.015698229440805,
      0.00523366871554372,
      0.00921359454015235,
      0.249846189171885,
      0.0178946745692795,
      0.00949886241199823,
      0.00087270471639971,
      0.018570638245994,
      0.0129821344722506,
      0.0333797471200336,
      0.00706501592445221,
      0.00219412273303228,
      0.0252570612313018,
      0.00657337889068232,
      0.0119933810506529,
      0.0443221705588389,
      0.289836002688048,
      0.0517944482050674,
      0.0244935510733872,
      0.0278582284584793,
      0.0608128346051978,
      0.025373013010752,
      0.0134241237619859,
      0.0629743630263306,
      0.0420303624562853,
      0.0293596766077759,
      0.0397896800441446,
      0.0105258637092859,
      0.0407673859424075,
      0.0305649102691113,
      0.0238853751076631,
      0.0960011490377011,
      0.0335738881496266,
      0.0109508041397128,
      0.0582943743988166,
      0.0508348505769083,
      0.0251519561083539,
      0.0777965720211182,
      0.014121948009047,
      0.010576705436873,
      0.0472300412351809,
      0.0201785176478892,
      0.0345161707437025,
      0.0862702462707482,
      0.0320492530116014,
      0.024928084193287,
      0.0474080836502757,
      0.10657986593588,
      0.0749624418575291,
      0.243239984333374,
      0.0868703351548848,
      0.0764711669938067,
      0.0651845952679442,
      0.0235836396438754,
      0.0986449805838235,
      0.0561579214352313,
      0.0231133557310638,
      0.0446769824101294,
      0.0879622585113078,
      0.0577991159245485,
      0.251224284257222,
      0.11213439502313,
      0.0410281686607862,
      0.0882320950793646,
      0.0270520204397036,
      0.0350236544536998,
      0.0962563557650037,
      0.0260388691777025,
      0.0371316651628961,
      0.0394307121659036,
      0.109102632703134,
      0.11812947052682,
      0.171442733587277,
      0.0989912375341693,
      0.067776000106673,
      0.0603679432376861,
      0.0217749740019766,
      0.10142373219039,
      0.0564125675514793,
      0.0217132683457203,
      0.0403535374809367,
      0.114576512439121,
      0.0309202154343666,
      0.269321734447736,
      0.104719670005919,
      0.0634079470201644,
      0.0949183224320392,
      0.0288845985920742,
      0.0137947191776795,
      0.012647131086218,
      0.00123102442935542,
      0.0336097501089124,
      0.000923913414553452,
      0.00186034146627317,
      0.0258060804769086,
      0.00235367756165821,
      0.00241543333199196,
      0.0295787646128482,
      0.00123412120290617,
      0.00140089599261062,
      0.0355650720050228,
      0.0018405522938436,
      0.00135259916013942,
      0.0289635256224199,
      0.00105545824818191,
      0.000793033375151756,
      0.0264719763444366,
      0.00124224376682767,
      0.00693981723305228,
      0.0208858343449927,
      0.00015261622656385,
      0.00000381318638426423,
      0.00000109214468722163,
      1.01686302780791e-7,
      1.36358708908137e-8,
      2.360738446842e-40,
      2.35770925340409e-12
    ],
    "bass_treble_ratio_curve": [
      0.999769753211548,
      0.548239100023368,
      0.394595354949857,
      0.452912442592541,
      0.457742985687623,
      0.513908821286752,
      0.549924004674077,
      0.506517893498838,
      0.518692043758919,
      0.593174516390691,
      0.544509184755716,
      0.258357648577265,
      0.633778006418515,
      0.680578080549676,
      0.825133402258666,
      0.849987089083354,
      0.693558491264839,
      0.711432141099254,
      0.817131697264294,
      0.674168357677362,
      0.815327987250515,
      0.845412879223814,
      0.76213940076097,
      0.457157746514362,
      0.55258779246635,
      0.518374700420339,
      0.684319029060944,
      0.544357611052727,
      0.532255582817046,
      0.814118098252255,
      0.66032963749525,
      0.586223293009377,
      0.775563517517509,
      0.861635320000389,
      0.709253718272791,
      0.789834766150265,
      0.428403000914685,
      0.404477824294182,
      0.735154180573687,
      0.597029219520415,
      0.323207592316959,
      0.678143743651847,
      0.536413927920668,
      0.637265666727728,
      0.775132850121277,
      0.723984557909352,
      0.709686691250457,
      0.582528683836259,
      0.555274573525285,
      0.656235088940935,
      0.497368572719342,
      0.573160540016595,
      0.821853963150417,
      0.646600006989382,
      0.560477434317335,
      0.794759854050168,
      0.871584842632835,
      0.688044409111481,
      0.803211912945044,
      0.429741144122649,
      0.380736361717371,
      0.778264818931325,
      0.49959579718914,
      0.395329818537274,
      0.670535733263609,
      0.508339540614485,
      0.71311246540195,
      0.780655277626725,
      0.708628569626564,
      0.724963440253999,
      0.825858131257669,
      0.505524705690981,
      0.689731984827603,
      0.742834145829547,
      0.580518670843882,
      0.747809654114732,
      0.641623065980059,
      0.658206927841833,
      0.803938035217275,
      0.83599069917626,
      0.659526227715792,
      0.713193432849249,
      0.572233297240494,
      0.499314074969297,
      0.785736299652515,
      0.340844637983665,
      0.518873612754734,
      0.668687566697913,
      0.418641985844859,
      0.814308988984707,
      0.769260067633584,
      0.600663385471949,
      0.772287951955161,
      0.788930880052715,
      0.504044943702113,
      0.736241014888615,
      0.743812329578316,
      0.588671299347365,
      0.740081059416424,
      0.654342362303576,
      0.659006765423949,
      0.80067737318942,
      0.776893693150345,
      0.670959739814751,
      0.742384343013323,
      0.543842330920239,
      0.55554988984551,
      0.702428330211842,
      0.340552318411347,
      0.567110374068996,
      0.474400749957937,
      0.461625814965167,
      0.520098697710452,
      0.582393346751874,
      0.623663007510028,
      0.858279973177284,
      0.610919506466838,
      0.466139216324869,
      0.752126735855768,
      0.700706814474488,
      0.702290402126538,
      0.632015536938721,
      0.66379817975954,
      0.540153537746288,
      0.527482719559476,
      0.526247033164484,
      0.513523668058515,
      0.621958407935537,
      0.390882419539113,
      0.577340072812363,
      0.752439754749422,
      0.634466998195524,
      0.435627905135443,
      0.601364505403411,
      0.449094313543937,
      0.339151456621967,
      0.444308279423825,
      0.416687150900285,
      0.732821000930431,
      0.609522593443666,
      0.492706776247624,
      0.7347763482163,
      0.654725382286426,
      0.73139040450612,
      0.650591881845322,
      0.608854724313439,
      0.547201124368957,
      0.547278267553052,
      0.511446256557148,
      0.545009195413738,
      0.602511730056606,
      0.376391017429963,
      0.600975965576904,
      0.78912491468184,
      0.617218613775804,
      0.416116332264825,
      0.603118692054063,
      0.433217249238255,
      0.342048682128221,
      0.452670415541574,
      0.45172321933351,
      0.716314609821269,
      0.616700748030946,
      0.49305951815147,
      0.752928599836883,
      0.378092647557426,
      0.737634613584243,
      0.618325983150056,
      0.57799836040902,
      0.832463597606565,
      0.775113664026231,
      0.628934986138807,
      0.716358573876955,
      0.763348982291516,
      0.615597633682801,
      0.682689553848986,
      0.475698342414787,
      0.53139727633253,
      0.639555075035176,
      0.582082315509414,
      0.567820305408537,
      0.776845886281827,
      0.664638224985465,
      0.703617314616441,
      0.760746400775378,
      0.586047956717536,
      0.563018540463071,
      0.702350159191307,
      0.399215545505733,
      0.724249690522732,
      0.609800899356388,
      0.572262801322186,
      0.882755997303162,
      0.771232861800813,
      0.627116349254256,
      0.714907278818895,
      0.782916854819685,
      0.566679322777456,
      0.684033201741191,
      0.464278997807098,
      0.521570130829345,
      0.685821900350074,
      0.572469975803407,
      0.573893613371007,
      0.780842075489369,
      0.602761849297535,
      0.71856316054614,
      0.773946383708503,
      0.634374954654826,
      0.661599814501609,
      0.670898402617964,
      0.327807111053327,
      0.639986567604909,
      0.69986847738903,
      0.615151785737131,
      0.821059365176566,
      0.758536175272446,
      0.560123802918516,
      0.734532658394054,
      0.673217840507285,
      0.584966966023449,
      0.827845502168735,
      0.523199739558034,
      0.311223171362558,
      0.618595458313828,
      0.53680051519482,
      0.582169646012502,
      0.86582203340903,
      0.663149945548806,
      0.626359502270069,
      0.825243566472861,
      0.617143659854849,
      0.659992788049932,
      0.643009529066163,
      0.341635996225061,
      0.67028155496706,
      0.708632790653137,
      0.617542610023223,
      0.805663968440927,
      0.716861922603358,
      0.561810274687548,
      0.760603491932353,
      0.702073736747331,
      0.590093322426379,
      0.824602505461574,
      0.429207161202018,
      0.368863414365554,
      0.5049658262705,
      0.484945992551488,
      0.547644789323121,
      0.75056437717032,
      0.495016789942261,
      0.673275793753404,
      0.700816574470324,
      0.515124026225863,
      0.631823882071111,
      0.820224071466207,
      0.624393346477657,
      0.674234355794211,
      0.61329195629,
      0.55402355743723,
      0.486362852209425,
      0.690358210130304,
      0.418744718356315,
      0.705943595711227,
      0.473229676788968,
      0.464258508324134,
      0.699253484508475,
      0.652121601271338,
      0.543401982400571,
      0.525576434770772,
      0.513432811666221,
      0.497272962230032,
      0.503137355582238,
      0.404706295919751,
      0.646168136142335,
      0.677559982399078,
      0.500400276429418,
      0.690995186371223,
      0.789232244318214,
      0.652599356403617,
      0.663648918435176,
      0.619251669851959,
      0.54424603318197,
      0.473946648287972,
      0.683468873596745,
      0.438876034688794,
      0.672501885304203,
      0.451874094300721,
      0.505605916171073,
      0.680582297132186,
      0.684187668749383,
      0.499730064802795,
      0.49168391687452,
      0.57232428701413,
      0.361493597944971,
      0.381844867012149,
      0.415464053114219,
      0.612376890548923,
      0.881258450121772,
      0.861221175374191,
      0.832354740612807,
      0.642661888717472,
      0.719956068842037,
      0.74954363020954,
      0.757045056022209,
      0.707746236538232,
      0.689502689230097,
      0.673741440614674,
      0.773832310318365,
      0.809890331286344,
      0.882342682244288,
      0.902928529068399,
      0.888306016126136,
      0.891242075641891,
      0.530475089056926,
      0.704970910981632,
      0.767979756245319,
      0.831434002540553,
      0.701664619793127,
      0.720258693142767,
      0.499329222835765,
      0.363146571794484,
      0.353353196936535,
      0.7253162483218,
      0.597065172244764,
      0.558576408799823,
      0.758521031558805,
      0.538195740634457,
      0.679828940558174,
      0.782723517398972,
      0.633534150635539,
      0.730143977790508,
      0.811452417046931,
      0.519306011384399,
      0.726205663851537,
      0.656896251306294,
      0.325494449304074,
      0.651320706648099,
      0.441685812012431,
      0.46876102990534,
      0.746536837661047,
      0.748519897778477,
      0.656718980745424,
      0.816727478134274,
      0.608744146912532,
      0.496328383340316,
      0.735635685444783,
      0.657613208703386,
      0.726415181347293,
      0.643139224431169,
      0.614586340982254,
      0.547190423092551,
      0.555949384562809,
      0.506268000768947,
      0.550030068762171,
      0.608391784097453,
      0.378642282334088,
      0.59712430866156,
      0.785487954647174,
      0.601640225552776,
      0.49876932025109,
      0.496570375461397,
      0.442493409602027,
      0.483813386535912,
      0.590588339084834,
      0.441884106075712,
      0.714558676630333,
      0.638470259849945,
      0.501474757718605,
      0.727869291920684,
      0.674982752696364,
      0.701587414976219,
      0.62662041656121,
      0.586518051619044,
      0.571515696613256,
      0.552042040022099,
      0.49676861992754,
      0.592469540918784,
      0.570370427793053,
      0.39358099630952,
      0.649261050830401,
      0.749089769669445,
      0.599892154402766,
      0.395934854085467,
      0.665754583775077,
      0.396784884966791,
      0.360443109209337,
      0.457224545186807,
      0.481084382814936,
      0.407977576035152,
      0.0396491590737666,
      0.0349883165106596,
      0.026807136243083,
      0.0220245787405963,
      0.0323480178329708,
      0.0164470675684777,
      0.0167797302573215,
      0.0163391506498786,
      0.0202394820666736,
      0.0235874348015725,
      0.0278865605449317,
      0.0306341026173966,
      0.0153991888675404,
      0.0217544309788418,
      0.0260160443420923,
      0.0191154854294073,
      0.0233569522530251,
      0.0116181677414662,
      0.0111519018695647,
      0.0107005441859058,
      0.0215605763956827,
      0.0209817081528486,
      0.018777048331189,
      0.102486700226342,
      0.664562898150218,
      0.963250712609931,
      0.967836643287664,
      0.999999437908096,
      0.997587748594351
    ],
    "energy_rate_of_change": [
      0,
      0,
      1,
      0,
      -0.0641823656418744,
      0.0641823656418744,
      -0.0381882330950569,
      0.0381882330950569,
      0,
      -0.0830209395464729,
      0.0830209395464729,
      -0.106790290159338,
      0.106790290159338,
      -0.0604825019836426,
      0.0604825019836426,
      0,
      -0.152750099406523,
      0.152750099406523,
      0,
      -0.0485462441163904,
      0.0485462441163904,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.158970103544347,
      0.158970103544347,
      0,
      -0.0744074653176701,
      0.0744074653176701,
      -0.00422648822560034,
      0.00422648822560034,
      0,
      -0.0245162178488338,
      -0.00320260664995986,
      -0.00591067706837367,
      0.0336295015671674,
      0,
      -0.0715988664066091,
      0.0364934556624469,
      0.0210731870987836,
      -0.0108100526473102,
      0.0248422762926888,
      0,
      0,
      0,
      -0.944291844087489,
      -0.0557081559125115,
      0,
      0,
      0,
      0,
      0
    ],
    "crest_factor_curve": [
      1,
      0.308080342369123,
      0.0378192520755155,
      0.0368012466332417,
      0.0445917926421883,
      0.0324426735697724,
      0.0394112126994506,
      0.0322312863967992,
      0.0284396797021623,
      0.042534022810368,
      0.0334748353524367,
      0.0460463795463626,
      0.0548658349716263,
      0.043081093848065,
      0.0313112857160904,
      0.0198153341156711,
      0.045863392987655,
      0.0433267430141735,
      0.0312755996586341,
      0.0457512473983569,
      0.0239484714390986,
      0.0335132906791564,
      0.0330318676461131,
      0.053976476648405,
      0.0202908329143448,
      0.0187330161718514,
      0.0128716643119111,
      0.0138566191672753,
      0.0204872958315854,
      0.0105495703614428,
      0.0168882008536365,
      0.0148497176363062,
      0.0122433567550514,
      0.0099224950856864,
      0.0190470220646497,
      0.0119307069547505,
      0.0198184668575094,
      0.022331697759897,
      0.0150278058701411,
      0.0168480885676646,
      0.0290781493111952,
      0.0180367497677971,
      0.017562654531638,
      0.0188499151902034,
      0.0153857150185145,
      0.016820581055034,
      0.0161931929679869,
      0.0134264358659042,
      0.019463991773876,
      0.0130446879941483,
      0.0146293568973663,
      0.021317073223528,
      0.009621353258379,
      0.0176524560335177,
      0.0155677309162621,
      0.0124120951203404,
      0.00956281185982189,
      0.0195974162272201,
      0.0104770050709532,
      0.0196691779290591,
      0.0239148902589398,
      0.015463766771177,
      0.0192874544689852,
      0.0280597367499957,
      0.0165087573997087,
      0.0197763546789004,
      0.0150313050911824,
      0.0143029910085863,
      0.0173935240139086,
      0.0133308609761523,
      0.00963452629185309,
      0.0205932611198866,
      0.0182861403510468,
      0.01184390003213,
      0.0266484787460284,
      0.0107032356631897,
      0.0167855070197118,
      0.0147775335682778,
      0.0138194631207013,
      0.0110817441605058,
      0.0196920305067196,
      0.0125033505914208,
      0.017541916128075,
      0.0204316888696416,
      0.0137641446612249,
      0.0302220099572439,
      0.0221704655262167,
      0.0247324341494916,
      0.0335815275611701,
      0.0104303936729942,
      0.015503393018518,
      0.0224493470190099,
      0.0130181118421024,
      0.00928884195641234,
      0.0251087126592315,
      0.012538557266247,
      0.0120595678679286,
      0.0275152581791882,
      0.0112791019782067,
      0.0170284956202297,
      0.0140022832524268,
      0.0138487907853356,
      0.0129873038470001,
      0.0196507189851652,
      0.0121352614870123,
      0.0188856056086998,
      0.0163774773920692,
      0.0170815549803289,
      0.0305343397306415,
      0.0199252796009084,
      0.0346024082807216,
      0.0299727068921434,
      0.0164254904211004,
      0.0197073000511544,
      0.0203177506586719,
      0.0111618575140146,
      0.0139255222856412,
      0.0296642367653196,
      0.0166805823995825,
      0.020186535703301,
      0.0175674052997159,
      0.0175215493625691,
      0.0151878633709572,
      0.0185847569461343,
      0.0301645432098311,
      0.0206219681675564,
      0.0223621969439607,
      0.017827225952227,
      0.03074292513002,
      0.0294213889334235,
      0.0187053740379038,
      0.0312564744136109,
      0.0308625926854962,
      0.0387814657329337,
      0.0260645778060672,
      0.0389212168154329,
      0.0244718210095079,
      0.0266361717720549,
      0.0126249924020007,
      0.013156000682699,
      0.0272990415276376,
      0.0195783765028755,
      0.024443053416416,
      0.0135788326670314,
      0.0160381647025295,
      0.0189526837334753,
      0.0186219716362566,
      0.0277052674030518,
      0.0209865269458861,
      0.0188333640511397,
      0.0192203179226642,
      0.0302886712850977,
      0.0275708112090542,
      0.0155033233393932,
      0.0314332523651345,
      0.0344234354835606,
      0.0342160884895196,
      0.0272369647778563,
      0.040719098655501,
      0.0232698496657249,
      0.0246467511676814,
      0.0133008107234803,
      0.0121465380898374,
      0.0179719341044295,
      0.00997168033237804,
      0.0152784267168901,
      0.0112118372645738,
      0.0184814493610314,
      0.0171476902384496,
      0.008721960248249,
      0.0119857218794731,
      0.0121743129450697,
      0.0117924018226598,
      0.0116159702320712,
      0.0178192236157991,
      0.024899706638676,
      0.0159466862645197,
      0.0192843276504499,
      0.0180126482678112,
      0.0274964409980318,
      0.0222725437584114,
      0.0164985126067605,
      0.0240600261099046,
      0.0151125344377717,
      0.0142762502297218,
      0.0131443999228844,
      0.01604012221816,
      0.0100255737096946,
      0.0152089399872757,
      0.0109005398362229,
      0.0211558984032579,
      0.0154250690944793,
      0.00783185840881784,
      0.0114840201457337,
      0.011755422202812,
      0.0127507647819172,
      0.0100911923086942,
      0.0213654311150933,
      0.023766721272069,
      0.0166241280344216,
      0.020039039710978,
      0.0180121443552676,
      0.0280354002637742,
      0.0207502105407224,
      0.0164841849000054,
      0.0249573777766202,
      0.0139805170479895,
      0.010410620016247,
      0.0149737723950432,
      0.0157592176896798,
      0.0125380194176726,
      0.0299055970863127,
      0.0114926369013794,
      0.0106247128826555,
      0.0164345850325161,
      0.0164303247998883,
      0.0117466083754266,
      0.015428789400133,
      0.0147894469963031,
      0.0163246539451377,
      0.0203053104080791,
      0.0100955531099259,
      0.0190326330791597,
      0.0311946855337565,
      0.01905921771214,
      0.0177755652988927,
      0.021325984878845,
      0.0158364010415092,
      0.0196601956194748,
      0.0195053703847753,
      0.0093678836826673,
      0.0162750901448386,
      0.0145618261538469,
      0.013426061860066,
      0.0285609124587143,
      0.0111474644338096,
      0.00990336206908138,
      0.0170948882933818,
      0.0179351864084849,
      0.0111174398215715,
      0.017937688977256,
      0.0128382975254951,
      0.0156220048383689,
      0.0201107806462841,
      0.0103280112112486,
      0.0233500115535406,
      0.0259761850149737,
      0.0201339365498241,
      0.0191239119188125,
      0.0198430667082291,
      0.0173168571374165,
      0.0240115401575423,
      0.0126526167606749,
      0.0137820099723768,
      0.0188107383766566,
      0.0232878729725529,
      0.0120448424131745,
      0.0286256287357246,
      0.0119572128668552,
      0.020608306035244,
      0.016995335143375,
      0.031400833671274,
      0.0130487563257075,
      0.0264492528929282,
      0.0147445740271615,
      0.0229595161016817,
      0.0321930445229846,
      0.0253017685858973,
      0.0274208517287613,
      0.026770805530292,
      0.0318711475847738,
      0.03128740556613,
      0.0241085532597262,
      0.0351914938151918,
      0.0291701171751058,
      0.0130843808055084,
      0.0138536820734552,
      0.0213485424369596,
      0.0237874420670755,
      0.016043715264123,
      0.0243861851680962,
      0.0128601579545364,
      0.0200725862462107,
      0.0177747345760427,
      0.0314184279037334,
      0.0129851826464421,
      0.026198465778163,
      0.0165407770444231,
      0.0227198558029635,
      0.0350575940953017,
      0.0229611466703193,
      0.0228953628413841,
      0.0297930815196994,
      0.0447230553208087,
      0.023839230646262,
      0.0338641867593671,
      0.0340173639726448,
      0.027009044526735,
      0.0160187079853365,
      0.00650556120277809,
      0.0083565390871983,
      0.0170673300646784,
      0.0158418286929607,
      0.0116263582035146,
      0.0104469524361925,
      0.0130775679192271,
      0.0118114440917803,
      0.023180044644716,
      0.0107983044271857,
      0.0126816623109716,
      0.0131754300658202,
      0.0112960965213964,
      0.015281876842483,
      0.0103602280380741,
      0.0158356492784445,
      0.0184722797297889,
      0.0224716915811108,
      0.017045069001842,
      0.0132022584562519,
      0.0172453861313081,
      0.0144173403196566,
      0.0144863118409187,
      0.0147150298824305,
      0.0218011226038423,
      0.012565651245544,
      0.0189294331485023,
      0.0193440001000132,
      0.0121608119501559,
      0.0199239617663876,
      0.0158747333948607,
      0.022076543490342,
      0.0173771777203834,
      0.0166911224582823,
      0.0138391323024792,
      0.0248210757324615,
      0.0184109233667959,
      0.0221261772169489,
      0.0359871184716666,
      0.0175844438122147,
      0.0241713960243247,
      0.0259268099288545,
      0.0245281424000549,
      0.0168332138921807,
      0.0216630347499011,
      0.0115047334027152,
      0.0136508780913472,
      0.0277056489215363,
      0.0196654978769704,
      0.0266583271074453,
      0.0152148250784578,
      0.0172044211428466,
      0.018354864572235,
      0.0201398863969194,
      0.02911862138034,
      0.0231396560712347,
      0.0183713860898739,
      0.0200116066490728,
      0.0311079783301561,
      0.0275079605138573,
      0.016453040118163,
      0.0330597031601593,
      0.0264886042338029,
      0.0392802633855439,
      0.0277570949651771,
      0.034558884852963,
      0.0235584698356639,
      0.0249720127787195,
      0.0140207052186922,
      0.0119201564334221,
      0.0292446979149368,
      0.020569128895277,
      0.0231378100504638,
      0.015556553546902,
      0.0172695032969493,
      0.0207607354798953,
      0.0200286308129242,
      0.0272401225594752,
      0.0227651139623065,
      0.0163404948308127,
      0.0226547562189842,
      0.031878924546529,
      0.0308438479009278,
      0.0219389329941343,
      0.0317415638255702,
      0.0398062877167158,
      0.0293967869421026,
      0.0296372627678876,
      0.0397844246074341,
      0.022931677507271,
      0.0240996354977356,
      0.0269837048469924,
      0.0349598594578581,
      0.0463315401048738,
      0.0280142753207805,
      0.0268560776009731,
      0.0341919628606319,
      0.0211482849782681,
      0.0338407893038052,
      0.0303581772841142,
      0.0266400158457563,
      0.0366743065723897,
      0.0312759210253971,
      0.0346490335307911,
      0.034516642038738,
      0.0232054939575296,
      0.0362063356394015,
      0.0452080912418051,
      0.0325413743436775,
      0.0292140772064844,
      0.0331923291438574,
      0.018099711191382,
      0.026851985154821,
      0.0300655954769581,
      0.437255821233382,
      0.983329373735744,
      1,
      1,
      1,
      1,
      1
    ],
    "loudness_curve_perceptual": [
      0,
      0,
      1,
      1,
      0.935817634358126,
      1,
      0.961811766904943,
      1,
      1,
      0.916979060453527,
      1,
      0.893209709840662,
      1,
      0.939517498016357,
      1,
      1,
      0.847249900593477,
      1,
      1,
      0.95145375588361,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      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,
      1,
      1,
      0.841029896455653,
      1,
      1,
      0.92559253468233,
      1,
      0.9957735117744,
      1,
      1,
      0.975483782151166,
      0.972281175501206,
      0.966370498432833,
      1,
      1,
      0.928401133593391,
      0.964894589255838,
      0.985967776354621,
      0.975157723707311,
      1,
      1,
      1,
      1,
      0.0557081559125115,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "energy_curve_sub": [
      6.4614979196248e-9,
      0.0000167701455676781,
      0.0000323576511008708,
      0.0000222805444518401,
      0.0000428678282122844,
      0.0000287251945965137,
      0.0000213861161745417,
      0.0000380388390692546,
      0.0000274130857514807,
      0.0000209858593791533,
      0.0000392102571098867,
      0.0000227492186883463,
      0.0972440379526192,
      0.0176346892876196,
      0.112219388027279,
      0.111908443815313,
      0.00040050195924716,
      0.113427536435627,
      0.11121463671713,
      0.000720661551612046,
      0.109794363925716,
      0.109338318334018,
      0.0837587383854014,
      0.0239915287505956,
      0.102421163363356,
      0.000583021586010485,
      0.10125361109094,
      0.0983076318966159,
      0.000679922139108337,
      0.000659987228426076,
      0.0971957353706876,
      0.000730060493813804,
      0.194776012966504,
      0.201113323063096,
      0.108351521293883,
      0.186521885608296,
      0.0809990375491475,
      0.100913639447285,
      0.172624562856595,
      0.125320109320954,
      0.0626281910652921,
      0.145129260160474,
      0.0532551943902922,
      0.155315511364297,
      0.215706483122011,
      0.137376238978311,
      0.172494991613296,
      0.106594426718367,
      0.000562308299670763,
      0.0995769108010465,
      0.0939850047418901,
      0.000715397925381954,
      0.0423301301060588,
      0.0543408100858505,
      0.000774298004375146,
      0.200386675163878,
      0.196481140557938,
      0.120678866542092,
      0.185846291562631,
      0.0861599030231983,
      0.123519949169475,
      0.215049643034699,
      0.0493805964264754,
      0.0768501245716307,
      0.131659673008765,
      0.0567229538466687,
      0.222241533568659,
      0.165022160211579,
      0.123787335636885,
      0.182077693990497,
      0.103292253523902,
      0.000524359721678711,
      0.0996390024806454,
      0.0900776332309702,
      0.000633707978451857,
      0.089653318994094,
      0.00495101710405164,
      0.0146138780549762,
      0.1872707881039,
      0.194507379226098,
      0.132497951315285,
      0.173098737517886,
      0.0814373125228533,
      0.117651832433298,
      0.213875222160708,
      0.0390894019347718,
      0.078207014433949,
      0.123672917756983,
      0.0634422755029601,
      0.230782695572332,
      0.214263924969729,
      0.108343398093509,
      0.12294491938438,
      0.0875040149107459,
      0.000540363850523961,
      0.101813103919336,
      0.0891144576888952,
      0.000617547196459279,
      0.0927019058412453,
      0.00168546597538087,
      0.084810581997314,
      0.159869732153093,
      0.151690122958464,
      0.150094541422582,
      0.173626117537598,
      0.0743836916728229,
      0.157470027835349,
      0.183172944354555,
      0.0403340983340135,
      0.0845604115880926,
      0.0481431468383181,
      0.0691059861253055,
      0.0621326088135162,
      0.0729106130971846,
      0.0693058768983192,
      0.172358778284838,
      0.0179988714201149,
      0.00131332359018857,
      0.213217856780082,
      0.110729183967136,
      0.0911633589171668,
      0.0869765057817439,
      0.00248748682838846,
      0.0929354366250245,
      0.0976314111189437,
      0.00484247889284759,
      0.0991305806114185,
      0.17090955393326,
      0.0748583180522218,
      0.134666421632999,
      0.246189492374693,
      0.14269972011506,
      0.0812030429837378,
      0.122315111465393,
      0.0729775040607142,
      0.0441401386989807,
      0.0835031480189643,
      0.0745809161812465,
      0.17354976649278,
      0.0013859017208706,
      0.0748734407129075,
      0.151777131448331,
      0.103784175042609,
      0.0918191511740318,
      0.0875203262561399,
      0.0025860175685866,
      0.0925427394898118,
      0.105248027293505,
      0.00391785491964851,
      0.112794876510605,
      0.171501209493921,
      0.0722502080585419,
      0.141404191911191,
      0.268197335474096,
      0.119688697154082,
      0.0771155684221452,
      0.123758638014139,
      0.0793183349632592,
      0.0427681259924569,
      0.0849695035242574,
      0.077166969947318,
      0.160754031929574,
      0.000544880216897891,
      0.0949002324508186,
      0.0773990395226269,
      0.0171276458995999,
      0.000622422150667879,
      0.0934977695763794,
      0.00197301587651813,
      0.158231125330927,
      0.135649168840094,
      0.0780988100003417,
      0.171963921145087,
      0.146911200470974,
      0.0547293359404925,
      0.212029352082027,
      0.142316131333126,
      0.046670649471947,
      0.162696807440158,
      0.0421480645560028,
      0.0870886532488789,
      0.193008167096524,
      0.219682612085951,
      0.139730525279458,
      0.148901543007704,
      0.000723832096610698,
      0.0939911037824764,
      0.0926190949636445,
      0.00122478554421051,
      0.000602156691494616,
      0.0903704114906595,
      0.00201956976514821,
      0.18257138235111,
      0.190236393964803,
      0.0634206644425557,
      0.135622317988478,
      0.14276122194143,
      0.0508374248247295,
      0.211993447708958,
      0.13862236410585,
      0.0526210926077929,
      0.156214960344356,
      0.0521842758970996,
      0.14946172688621,
      0.163509389559784,
      0.185698333948466,
      0.144350725704303,
      0.136123650236687,
      0.000669611726491217,
      0.0980482255361881,
      0.0923974844052716,
      0.000653948057555397,
      0.000552034153370548,
      0.0914064262763069,
      0.000648765216657902,
      0.188421709393421,
      0.198752964113133,
      0.104527700651385,
      0.184750296264748,
      0.0936176324165949,
      0.0456399791257364,
      0.211236446374583,
      0.136880799425573,
      0.056109765992261,
      0.159528566335558,
      0.0539022403149677,
      0.146458911326784,
      0.205501634479948,
      0.134695310055912,
      0.164794421360465,
      0.120721048984808,
      0.000598167249292716,
      0.0980059385116429,
      0.0907032168095599,
      0.000618856322315666,
      0.000569199831613794,
      0.0942551353293653,
      0.000668398682479738,
      0.188228453471392,
      0.197783551167403,
      0.110135411428951,
      0.191224752853761,
      0.0867155545415048,
      0.0897741300420076,
      0.174673142683151,
      0.12385005559892,
      0.0643656078266172,
      0.0835553962158483,
      0.0554962525778065,
      0.0639796231648872,
      0.0529080873517113,
      0.0656166122028953,
      0.115928229463337,
      0.114503953149583,
      0.000546402407953323,
      0.111356435690525,
      0.205491124684474,
      0.0942871850942132,
      0.0328903777882549,
      0.0571181487168051,
      0.000884561370134047,
      0.0931999695613454,
      0.10203977065494,
      0.0581705544384863,
      0.185149664985321,
      0.0895898588355092,
      0.140444770133994,
      0.157674614360459,
      0.167178429496328,
      0.125084594319442,
      0.124284331503662,
      0.0792435234295797,
      0.139263775700991,
      0.130637738891145,
      0.0678197712054359,
      0.104697482340244,
      0.106237889777239,
      0.000718170515179877,
      0.126295847782752,
      0.191518757400135,
      0.0910298966836506,
      0.0833319988797957,
      0.00559484113885507,
      0.00975424706468918,
      0.0860168406243591,
      0.100797805182264,
      0.0699055672028373,
      0.185886013245146,
      0.0906952977739082,
      0.128330428864951,
      0.164761682144633,
      0.219460021967459,
      0.0721474854101116,
      0.0397975282505506,
      0.153912971917621,
      0.0536173375293126,
      0.0663488428023096,
      0.0727475858235498,
      0.0959048883869125,
      0.00219174674674183,
      0.00063588632170955,
      0.00481336866555191,
      0.000472374065158808,
      0.00196053237769785,
      0.000531353729833341,
      0.00186978484887672,
      0.000670061608133074,
      0.00265514112106401,
      0.000535653552083562,
      0.109521310841582,
      0.178094557151457,
      0.179703540428353,
      0.0678330453107676,
      0.183564715468457,
      0.174189708853253,
      0.0867317361080292,
      0.117857244112329,
      0.16484621626399,
      0.066952826238283,
      0.158189421969059,
      0.157750795574757,
      0.130818055358957,
      0.0190825799311991,
      0.000546044068769404,
      0.091214531737747,
      0.0900498717628681,
      0.000625972086435578,
      0.0923231915754773,
      0.00200843287003795,
      0.0974594062545916,
      0.189446982385894,
      0.101885910810586,
      0.160203118672524,
      0.169603329134569,
      0.072943144063052,
      0.202405133289547,
      0.135756085941003,
      0.0425835020659444,
      0.107841356685165,
      0.108068401702976,
      0.0716590473122066,
      0.207087034918323,
      0.221908321006418,
      0.14769048016044,
      0.178306048827042,
      0.00138423048847372,
      0.0588171086538287,
      0.140644612403629,
      0.10038569628736,
      0.0837945276023015,
      0.0821111604725879,
      0.00251243411197063,
      0.0874132354312071,
      0.0959625681452325,
      0.00351545489316021,
      0.104992426325871,
      0.166897476975805,
      0.0670254617022022,
      0.131997180449001,
      0.247382006095809,
      0.107265490058357,
      0.0994953346236135,
      0.0899495178220608,
      0.0749740396318689,
      0.116714258168742,
      0.144329174081892,
      0.0718479736429236,
      0.15180320887336,
      0.000565723098663598,
      0.0998308518471415,
      0.100602840167173,
      0.123718148122126,
      0.0625439294873098,
      0.0813252883037173,
      0.00224745582299364,
      0.085903687196161,
      0.0966334952506275,
      0.00776781908173849,
      0.116724790301528,
      0.150167627527966,
      0.0637463837142432,
      0.152288725095573,
      0.227081027884022,
      0.116548049466735,
      0.0677445799001378,
      0.125271423978057,
      0.0657993628843787,
      0.0395841258737104,
      0.0839303249246126,
      0.072125480063773,
      0.0474805289470002,
      0.0000226915407278898,
      0.0000354139336445249,
      0.0000126878387643836,
      0.000032786287542848,
      0.0000320137568526142,
      0.0000246029909780867,
      0.0000441090153741262,
      0.0000160968030550999,
      0.0000232974486871028,
      0.0000348004627639083,
      0.0000273571439648216,
      0.000063613481443117,
      0.0000481038960787367,
      0.0000779579901321265,
      0.0000548328143291364,
      0.0000615319490947613,
      0.0000560072874527717,
      0.0000290317147045081,
      0.0000770447049283563,
      0.0000431692613979952,
      0.0000759884066932407,
      0.0000515976627087294,
      0.0000212265237198407,
      0.00000142648064289833,
      0.00000119377606709272,
      8.72607755531073e-7,
      1.2251352974394e-7,
      6.68752901060326e-9,
      4.31420255532945e-9
    ],
    "energy_curve_bass": [
      2.65847955084754e-12,
      0.0175441900251285,
      0.0319621954113646,
      0.0346598814379964,
      0.0296766726572098,
      0.040531826769675,
      0.0291263808305525,
      0.0346608811851701,
      0.0334010420236858,
      0.0234925447125613,
      0.0327907149312788,
      0.00912180318118962,
      0.117702641244781,
      0.0106337863958742,
      0.116005227774901,
      0.116902564471974,
      0.0107911491465705,
      0.112546442596538,
      0.112940218741265,
      0.0458581603735993,
      0.0821695110344813,
      0.106926809756692,
      0.116031330854262,
      0.00667612418919757,
      0.146546300313446,
      0.107351374674547,
      0.15310301675957,
      0.172506075260254,
      0.112099132176851,
      0.18756947570514,
      0.128264080891261,
      0.116981915718126,
      0.223633855109358,
      0.228356101000003,
      0.174025342574766,
      0.109495302473719,
      0.00704977596328237,
      0.09355840862216,
      0.167853992032151,
      0.0323047379847769,
      0.00740590050505205,
      0.113891436944823,
      0.00733333711919992,
      0.14870831789483,
      0.139216683897819,
      0.105684581279232,
      0.129713397600788,
      0.150379692149368,
      0.106947509640661,
      0.151695237606286,
      0.164930920448721,
      0.120052791477569,
      0.247374778152929,
      0.067381452222269,
      0.111606145647789,
      0.218921458334281,
      0.225252838241978,
      0.165754401337834,
      0.104971702873312,
      0.00700178495677903,
      0.094533297561081,
      0.193813771222056,
      0.00609804062862879,
      0.00847405095645922,
      0.109942757276167,
      0.00754664954371754,
      0.182089821691016,
      0.180529281435167,
      0.0633444617293778,
      0.104065536973565,
      0.161645632136579,
      0.0823856773292582,
      0.150122966164553,
      0.177784125359836,
      0.0808960085686333,
      0.220185928294835,
      0.0829457725771272,
      0.189692125889281,
      0.170366364817593,
      0.241251618370212,
      0.138107712075607,
      0.0966517692031861,
      0.00702796973983642,
      0.103245981572002,
      0.182795786063771,
      0.00599347863839026,
      0.00775685152434753,
      0.106146665355704,
      0.00719241230578211,
      0.182717474883306,
      0.189310689652793,
      0.132361603237465,
      0.134654841744015,
      0.117809737638088,
      0.0682377151648604,
      0.167094356225539,
      0.17189597049452,
      0.104925623896352,
      0.200073063789712,
      0.0960725541659696,
      0.179211360533845,
      0.221401531214246,
      0.189681637350766,
      0.130804448314918,
      0.0937934380315456,
      0.00693555404858433,
      0.184877937404301,
      0.105462337070617,
      0.00599034557847945,
      0.0078317878767842,
      0.00944824099722746,
      0.00540364774707858,
      0.00579288990901025,
      0.00974105943768509,
      0.0500296685244475,
      0.177929040379009,
      0.115322418557332,
      0.0831779097324306,
      0.192254345325483,
      0.154398671355193,
      0.161598650319637,
      0.160100661586937,
      0.126083469079744,
      0.163282415810553,
      0.138394674911952,
      0.0990081924739406,
      0.0248517973054383,
      0.0951605758304139,
      0.008215103514787,
      0.0802904569980302,
      0.17629175247917,
      0.0978926616460691,
      0.0089029638857909,
      0.105372822950748,
      0.0119090742689052,
      0.00875558943300885,
      0.00945298459403301,
      0.0225569878977967,
      0.128228476873856,
      0.127210960980425,
      0.114202889541755,
      0.156295059723596,
      0.147362226723292,
      0.17179541018143,
      0.158192065565202,
      0.12435873140378,
      0.159377382257005,
      0.135597492241158,
      0.0990351402707594,
      0.0267104627761047,
      0.0981599326519186,
      0.00699809078328084,
      0.0823934846945094,
      0.178620797706715,
      0.0944567495547812,
      0.00774570882165861,
      0.1035290835178,
      0.0131572709573855,
      0.0101595004016484,
      0.00879357527774144,
      0.0279860600464388,
      0.128279419401086,
      0.127362584687401,
      0.121554747711696,
      0.174968285895434,
      0.0384008128866324,
      0.137387247120106,
      0.17040288335919,
      0.0925124521786517,
      0.225459697546917,
      0.203218447452825,
      0.0790335702556044,
      0.0826131412341058,
      0.0854275353137608,
      0.00445398390394147,
      0.185370018818083,
      0.103586052666655,
      0.00493066366597218,
      0.0999061141222195,
      0.0135145404462018,
      0.0808540663852065,
      0.126124324576842,
      0.166695275221296,
      0.105550827088255,
      0.134327700495421,
      0.124947907897738,
      0.119888672441381,
      0.171645808592073,
      0.0395038806731882,
      0.151546870328699,
      0.151608975124303,
      0.0985421872597176,
      0.220157406299359,
      0.219755744952152,
      0.131224273122195,
      0.07470267326217,
      0.0346093266152067,
      0.00425655279965231,
      0.184891840256463,
      0.0999256953546529,
      0.00531504601743257,
      0.0948591091146564,
      0.0138305646682039,
      0.0969295873303386,
      0.172577555610023,
      0.104790620224877,
      0.116121810094806,
      0.134603211187295,
      0.113150775479661,
      0.125750053574685,
      0.175195286450539,
      0.0646124191239206,
      0.14919319759046,
      0.148317965097524,
      0.10498485753023,
      0.224840939043785,
      0.21631453218932,
      0.152449825825462,
      0.113619091532879,
      0.0080676314093186,
      0.0304414554013137,
      0.156763459300545,
      0.102929484325626,
      0.00690893348474411,
      0.101023626441378,
      0.0159931637157215,
      0.0897967977731311,
      0.181317445382731,
      0.143282909965763,
      0.125070537305876,
      0.139215621429373,
      0.102336550066514,
      0.135886328014323,
      0.176106581101419,
      0.0708468387786003,
      0.168545994114172,
      0.12887591458453,
      0.107985986335668,
      0.21998755628317,
      0.20901090517847,
      0.148841234315472,
      0.108725387925194,
      0.00829567458127163,
      0.0862989358962928,
      0.161161988214835,
      0.0396322234544945,
      0.00864711128931211,
      0.00804858367975189,
      0.0171724505942232,
      0.0179613812459151,
      0.0194643254093504,
      0.0516579011322686,
      0.0537803654663119,
      0.168712878454034,
      0.100822632359976,
      0.117792529844696,
      0.228325371435079,
      0.128504129528393,
      0.203305924853413,
      0.0760751221696347,
      0.128110255112184,
      0.124208664681557,
      0.17828645742178,
      0.0400253950739591,
      0.1050839342516,
      0.00850954846848626,
      0.0694869174601419,
      0.109563094890336,
      0.162314845475576,
      0.0245548356504535,
      0.0938130496595357,
      0.0176735099561009,
      0.0880803766891279,
      0.0976863555994741,
      0.0109454201161588,
      0.0483410057198843,
      0.177042077069945,
      0.0922099922424471,
      0.183195097496904,
      0.163429258326226,
      0.142052818341382,
      0.183459354692937,
      0.0876603159920999,
      0.180464962193537,
      0.076328572785765,
      0.170837844130894,
      0.0314023144142289,
      0.106297935052334,
      0.00803786844291383,
      0.0787164365515426,
      0.100865621117266,
      0.167650567558436,
      0.0173035585163341,
      0.0700715149776432,
      0.0447159540954374,
      0.00918190353144037,
      0.00918114961142719,
      0.0146359799552934,
      0.0468282984670988,
      0.21613131949627,
      0.175930907381779,
      0.161098513617335,
      0.116706617083001,
      0.150243749067957,
      0.162936643499645,
      0.129196796074435,
      0.145410851498925,
      0.124653529487019,
      0.146542652560272,
      0.0841589920148401,
      0.115266578453128,
      0.126560396420233,
      0.0646070149932583,
      0.116015466128825,
      0.107300811369677,
      0.0158907736793369,
      0.112452226101922,
      0.104174452864203,
      0.0738773419133145,
      0.0955201776918452,
      0.11583612150715,
      0.105566356108326,
      0.0750790516632906,
      0.0724098702442519,
      0.147461847386957,
      0.144853124976956,
      0.098411945011178,
      0.194152049255603,
      0.0906039335583662,
      0.163818237366266,
      0.218487089083577,
      0.140856839554685,
      0.111968916746104,
      0.0906659008530373,
      0.00692710944756681,
      0.176490218191037,
      0.101521743118853,
      0.00571747042266304,
      0.0169534472319768,
      0.0843713804930861,
      0.00645253536751135,
      0.178724056264208,
      0.185084577531127,
      0.103611285184582,
      0.12371041742736,
      0.119859955464886,
      0.109489061752881,
      0.145073458316887,
      0.138881587685371,
      0.157774028674154,
      0.148387832213595,
      0.118817111420855,
      0.145846178153739,
      0.131620532425506,
      0.092335621033893,
      0.025066607718971,
      0.0879567580419745,
      0.00635707134372524,
      0.0807412861438733,
      0.166666031050045,
      0.0884520448793021,
      0.0854732058633713,
      0.0137867495593833,
      0.0116774043271795,
      0.0811094402085342,
      0.094570725852497,
      0.0255204387768341,
      0.118584804189983,
      0.129150295572228,
      0.0951631327842315,
      0.149507763580094,
      0.184286079400334,
      0.111295386792145,
      0.142864417077418,
      0.117209022844402,
      0.144192868719984,
      0.13623429430066,
      0.0850350667194537,
      0.025756929803525,
      0.0897758835204298,
      0.00596965227979633,
      0.13794680792023,
      0.11687981907895,
      0.0852619808477335,
      0.00660164327418247,
      0.0937263455556623,
      0.0129799115150022,
      0.00895663452444907,
      0.00809390257914554,
      0.0299663964159712,
      0.0232926327240735,
      0.000703179512943734,
      0.000454990123091185,
      0.000489653580875954,
      0.000598823887550443,
      0.000491261226729098,
      0.000433668474926334,
      0.000525894818940823,
      0.000323424123635444,
      0.000541313675806438,
      0.00054331654024622,
      0.000658093094512836,
      0.000887463765145923,
      0.000538651565765635,
      0.000799197743824267,
      0.000701598246828613,
      0.000520164878538932,
      0.000589948353736306,
      0.000369807182404461,
      0.000396650730566551,
      0.000497756607887511,
      0.000974991747186828,
      0.00046502965802847,
      0.000162638837289295,
      0.00000152132095922611,
      9.68678183975839e-7,
      5.05752161424669e-7,
      6.66275845647943e-8,
      3.11212436176147e-42,
      2.79140352838992e-11
    ],
    "energy_curve_low_mid_6": [
      1.12073363315041e-12,
      0.0457569855226118,
      0.0718628988370001,
      0.0801258051755797,
      0.0427152996459384,
      0.0719664887593213,
      0.0516790486403604,
      0.0607498066934472,
      0.0548759335941338,
      0.0442710726613392,
      0.0603450626807762,
      0.0557449302119852,
      0.0435654270581767,
      0.0429625618496112,
      0.0470902492355742,
      0.0620026569188668,
      0.030708391930069,
      0.0427791025565251,
      0.0424007909763392,
      0.0565334528820884,
      0.0426023353977881,
      0.0533178597235363,
      0.0455170523437289,
      0.1147085391604,
      0.167820564499941,
      0.07281968087164,
      0.159503018266702,
      0.0756808410101128,
      0.0824476369668606,
      0.105865601695912,
      0.192689844851032,
      0.167898467387994,
      0.0960647976659369,
      0.166175287562377,
      0.0902366568297989,
      0.111715093003691,
      0.19141678691853,
      0.179500255573462,
      0.125861571088494,
      0.253523864223395,
      0.109993128903055,
      0.138348854184488,
      0.297688203861,
      0.161588020002584,
      0.136193599528488,
      0.22178305663076,
      0.0661035569415785,
      0.180052185390269,
      0.0885736806611043,
      0.149145515383071,
      0.084958256379362,
      0.0833590223789403,
      0.11240857919397,
      0.199386219562099,
      0.161744196077406,
      0.103379486761043,
      0.17107715908711,
      0.0829390362935349,
      0.125443166930056,
      0.197428973941378,
      0.145854033831401,
      0.146807633853332,
      0.251347952056684,
      0.0985236118793111,
      0.162944325204413,
      0.280211391482088,
      0.147913077183672,
      0.150274186499575,
      0.225776209503674,
      0.0524040556117884,
      0.266305914114911,
      0.162537431141506,
      0.11350445324941,
      0.213981670756811,
      0.131605507381618,
      0.0559932894285845,
      0.147275382701556,
      0.0934330890527548,
      0.113671379729342,
      0.128787323371779,
      0.0925281928331474,
      0.122653542335847,
      0.301625212375947,
      0.156453730033722,
      0.161286951937961,
      0.139707614970877,
      0.174039750146745,
      0.144705767252327,
      0.129400878755071,
      0.208850684305899,
      0.168730830487424,
      0.180437464811805,
      0.082880933235577,
      0.263454207118223,
      0.149025094437621,
      0.117652406594307,
      0.236036877402445,
      0.104856129177696,
      0.068075754333199,
      0.146103719597783,
      0.0765480005148793,
      0.131924174875165,
      0.127125911874212,
      0.0733065341796865,
      0.148825834094628,
      0.291893696351925,
      0.153586188827116,
      0.152555167775482,
      0.135385342118509,
      0.170529524843746,
      0.213290390101631,
      0.157743832439832,
      0.298761771200488,
      0.265453392160819,
      0.206745221292659,
      0.0782202744349646,
      0.0804600147658014,
      0.0992387465458863,
      0.090203021786007,
      0.059255835327299,
      0.0604473921363316,
      0.0441875166823376,
      0.0434131727138825,
      0.0804277785224369,
      0.0825623485968751,
      0.0774058024550415,
      0.0587122463867206,
      0.0664012168700224,
      0.123273560260426,
      0.13244479556608,
      0.0670427736813987,
      0.0740366736963667,
      0.0760693412148876,
      0.0453017868392068,
      0.0821059499675004,
      0.136871296170097,
      0.110579404808323,
      0.0787894172924133,
      0.0780640923609978,
      0.09155478306139,
      0.106523809721821,
      0.0754596852085792,
      0.0675998372391133,
      0.0632352627013025,
      0.0349487990565947,
      0.0506220950670339,
      0.0824453703467871,
      0.0807288771883346,
      0.0773416380673156,
      0.060293866477673,
      0.0863335784099809,
      0.114517161173694,
      0.127722492309683,
      0.066280217683483,
      0.0724029584831862,
      0.0702881426427189,
      0.0423635788538152,
      0.0884576354775771,
      0.129935915219212,
      0.117020160746239,
      0.075590984832031,
      0.0901619810291429,
      0.154436721456596,
      0.14781331404962,
      0.265195762194645,
      0.207747092418012,
      0.0818121395589874,
      0.0307825011873714,
      0.20761880095975,
      0.227370497071096,
      0.151543431106374,
      0.236776985668095,
      0.113204254858544,
      0.337351360490009,
      0.302371461249012,
      0.0794276583058129,
      0.140523825848684,
      0.197028997002133,
      0.14551332194918,
      0.182114099147465,
      0.163193322651929,
      0.226110051094562,
      0.0558242743718706,
      0.186321948941112,
      0.108641716974167,
      0.135185789168857,
      0.186435495548391,
      0.225247453065422,
      0.221443924348562,
      0.0572501300996524,
      0.0570373224106253,
      0.197722774587646,
      0.235493601274536,
      0.144216764416654,
      0.220805463456847,
      0.129461314614045,
      0.413813853344053,
      0.274060772043221,
      0.0889318802774939,
      0.132785867908489,
      0.178160640417523,
      0.152812630063525,
      0.179226700240636,
      0.164869035372231,
      0.22246372902474,
      0.0658402685618912,
      0.170302202753148,
      0.221442328726214,
      0.176011276097625,
      0.187859734313722,
      0.130565814824999,
      0.0936934780441309,
      0.0565010341146941,
      0.26113090748622,
      0.178644523347747,
      0.0753986092797396,
      0.142563178217083,
      0.131550609893065,
      0.0912100749246275,
      0.263686542257983,
      0.288763038663202,
      0.18818244683002,
      0.159585352904198,
      0.104777740321619,
      0.135037021446735,
      0.264195554305748,
      0.163910454007848,
      0.19389456222812,
      0.170351374258909,
      0.0588711100856424,
      0.287860702366943,
      0.174319585579571,
      0.177007759388564,
      0.14745399967994,
      0.100559973049102,
      0.0448990295744827,
      0.304666269186369,
      0.154019653697003,
      0.0911927425273928,
      0.124316086333792,
      0.117554586992376,
      0.0949783469734827,
      0.291344845185722,
      0.245147655204177,
      0.195289500865085,
      0.151312602119781,
      0.103449745069322,
      0.198125387408827,
      0.278163934490681,
      0.244805492071635,
      0.371007420002832,
      0.17363867651299,
      0.0796061837002695,
      0.0767936550517802,
      0.0847969295801934,
      0.112317748475628,
      0.0580415750526446,
      0.0628955810490043,
      0.05742355577331,
      0.0385617761426646,
      0.0617816770515106,
      0.0956622182681963,
      0.0802025895132826,
      0.0576747685331345,
      0.0599033629920067,
      0.128244026499967,
      0.133651825048187,
      0.0717533707628627,
      0.0692710612885559,
      0.0730086116555942,
      0.0393228094471697,
      0.0926102728599654,
      0.100702111201495,
      0.0887072166358947,
      0.0935001301377651,
      0.0900042922535724,
      0.0754138764259821,
      0.0973299222639943,
      0.109746478754489,
      0.063564261113947,
      0.0560742807476213,
      0.0543139204096896,
      0.0352810974392359,
      0.0813750522938462,
      0.0844227830290009,
      0.0712276554724557,
      0.0637672506405658,
      0.0634145722730524,
      0.125628487570414,
      0.129802162927026,
      0.0658374369715214,
      0.0771552955564885,
      0.0732746477389339,
      0.0510019603685577,
      0.0633445997766955,
      0.12252065450611,
      0.106643307599478,
      0.0989969058289523,
      0.0847176504987419,
      0.0475931019984848,
      0.0473640984106966,
      0.0777684281797863,
      0.138868568876073,
      0.123000136952534,
      0.165947095685536,
      0.204708727225387,
      0.125882447690037,
      0.110225952229005,
      0.131014001880809,
      0.170579309068405,
      0.0963483827709595,
      0.144099185555297,
      0.131551604127089,
      0.128984705524026,
      0.036874435906219,
      0.221935260793346,
      0.161887695495542,
      0.138012329936449,
      0.226998433794605,
      0.125202499295189,
      0.163240917140064,
      0.219762986500756,
      0.273443920392017,
      0.237700570348322,
      0.0988560524405488,
      0.0876800027554096,
      0.0432515461667802,
      0.0410504465048274,
      0.0721139504775103,
      0.0505153778114949,
      0.0468869374826595,
      0.0563320058614654,
      0.0385605022358194,
      0.0882434529161,
      0.152480368450893,
      0.0912559879149384,
      0.0883320964268156,
      0.0958343899438289,
      0.0661800870396236,
      0.0889771976746311,
      0.128683106747169,
      0.0593779785624071,
      0.0780583000594006,
      0.0737544115694311,
      0.0609356444303342,
      0.0847017848616732,
      0.104071806565155,
      0.0710188764326295,
      0.059626448994401,
      0.0587005600080241,
      0.0327599104176104,
      0.0496416172390362,
      0.0796630874388296,
      0.0716294662245411,
      0.0707524409100947,
      0.0549917594128627,
      0.0747138104137832,
      0.108899969734109,
      0.122843042259684,
      0.0630796682939427,
      0.0692183514015889,
      0.065385896864419,
      0.0579829831532907,
      0.0817252202040512,
      0.111817694799726,
      0.0872921038339317,
      0.0786836827807901,
      0.0740497044942714,
      0.0828925783092383,
      0.112100704974449,
      0.0630784918283739,
      0.0699931059452372,
      0.0555509413888669,
      0.028204997101476,
      0.065323681378815,
      0.0767203893587509,
      0.0750370396733114,
      0.070932215487421,
      0.0574058840198046,
      0.089365650798784,
      0.116088059904271,
      0.113570032119091,
      0.0562536093218449,
      0.0721414769625607,
      0.0626335979633909,
      0.0486085908593937,
      0.101372495934388,
      0.110533608835127,
      0.106853995620148,
      0.0782723303950415,
      0.0443809435545669,
      0.00438413940861801,
      0.00220964081914908,
      0.00209080746588598,
      0.00304663125170569,
      0.00203645297817797,
      0.00200359839088284,
      0.00255891169212022,
      0.00161646052612175,
      0.00237664293505752,
      0.00326022300978,
      0.00427063982712797,
      0.0566959958936929,
      0.0583518216122895,
      0.0713959171472758,
      0.0456616818211343,
      0.0597931700020956,
      0.0649926054479708,
      0.0521364271963593,
      0.054841301328648,
      0.102470193465448,
      0.0938135129117303,
      0.0632326524395252,
      0.0225236672090046,
      0.000020103965040065,
      6.77125010311321e-7,
      3.32497456486284e-8,
      3.86992682422135e-9,
      2.89127574030009e-42,
      1.17677031480793e-11
    ],
    "energy_curve_mid_6": [
      3.90207289059393e-13,
      0.00861150282010343,
      0.0167224308657039,
      0.0155256697058182,
      0.0131945205070889,
      0.0154583851345552,
      0.0128478655604914,
      0.0160705083750123,
      0.0124291712445626,
      0.0123883762718055,
      0.0141235184869279,
      0.0263445861541908,
      0.0264328917622067,
      0.0231000252351139,
      0.0103759831733273,
      0.0205689353499071,
      0.0226880079084996,
      0.0175484663859231,
      0.0135657670229317,
      0.0191526414441781,
      0.0204296445541666,
      0.0108342759611393,
      0.0275966350577567,
      0.126419789617901,
      0.128273841102387,
      0.209574154939447,
      0.118694784681195,
      0.229754623819752,
      0.185111513485714,
      0.0681985397851823,
      0.10916089287102,
      0.15657028241394,
      0.0974575477283587,
      0.0537625198170991,
      0.124950627740002,
      0.0817771272934714,
      0.159781984975336,
      0.184191977989761,
      0.0868006728785696,
      0.0794992290752046,
      0.197723463715652,
      0.0525167689614582,
      0.153090282757391,
      0.112744310628033,
      0.0391126298879496,
      0.0997441487856239,
      0.0725942235923652,
      0.143947962064715,
      0.183580226179202,
      0.126602889704644,
      0.246140183799076,
      0.156200851929126,
      0.0719352969559072,
      0.111137911630608,
      0.166261302400192,
      0.0901251393841818,
      0.047352791838907,
      0.123713893113253,
      0.0801803200616355,
      0.15862522023423,
      0.187241404259709,
      0.0680201276537014,
      0.145118952346885,
      0.147366255053831,
      0.0527214341400934,
      0.168152351488601,
      0.0968846725624443,
      0.0421555488207629,
      0.0998238644132268,
      0.0377012777260518,
      0.0590550916840108,
      0.145591914752128,
      0.0706322757410216,
      0.0742974331411103,
      0.149780811599177,
      0.103273682990325,
      0.0824814572470243,
      0.150045132661541,
      0.0531789834914859,
      0.0537330547980891,
      0.150805080040817,
      0.107956499322156,
      0.126610564610417,
      0.157318164734746,
      0.0489794443171769,
      0.199179979896768,
      0.131560535146223,
      0.0508660805831108,
      0.166903866474417,
      0.0595214498788206,
      0.0613284703086983,
      0.133255465277437,
      0.0349016493336788,
      0.0708078913340319,
      0.135908480513399,
      0.0718622849422725,
      0.0752613212917806,
      0.149516445685609,
      0.106457752869549,
      0.0787532230412662,
      0.134149826132116,
      0.0538897561772456,
      0.103841218977442,
      0.128116257760848,
      0.0826592728769464,
      0.147443479028082,
      0.142331241867725,
      0.0596296202348736,
      0.205393334789018,
      0.116451179073832,
      0.0898734548589354,
      0.15218915339801,
      0.112283381351158,
      0.122482385204353,
      0.132710437848202,
      0.0285275436527267,
      0.119825208527112,
      0.208672647786556,
      0.100275442763716,
      0.0862559591486518,
      0.114094444194698,
      0.107279361070107,
      0.107232106885843,
      0.17560774964874,
      0.141170996635968,
      0.198164822690701,
      0.145388564288632,
      0.0943379626090498,
      0.187514567431412,
      0.12066141759943,
      0.0742810417976153,
      0.088802723254372,
      0.119877964186058,
      0.0511191303293184,
      0.171056226160149,
      0.176699175488594,
      0.135001608216986,
      0.205271200151477,
      0.0610029602638728,
      0.119384039735371,
      0.204112719260878,
      0.092540206634056,
      0.0898124657141902,
      0.113795049142764,
      0.0952116664476673,
      0.154667463533606,
      0.142257548746731,
      0.135370288079685,
      0.197899107768451,
      0.145014774026567,
      0.101086585021853,
      0.193093838785779,
      0.106739703944909,
      0.0680732803700335,
      0.0871303187380022,
      0.119534837257012,
      0.0485024873749005,
      0.18185341204728,
      0.17989288846696,
      0.129462752527603,
      0.189013691611361,
      0.077581351616013,
      0.0900197740310272,
      0.207711923239362,
      0.124970903123458,
      0.245791808070207,
      0.102606702567048,
      0.0566833238935362,
      0.134182839078943,
      0.0482346330810986,
      0.116844372736414,
      0.209663447495899,
      0.133410929809441,
      0.100280408078689,
      0.176376576585832,
      0.0896629191565817,
      0.174156645352951,
      0.180880367634799,
      0.0944160185613354,
      0.0517587982929158,
      0.12752298132232,
      0.0388876096551347,
      0.0156424586761141,
      0.124310547732621,
      0.074176612806518,
      0.138701815383487,
      0.146527400674887,
      0.144253411178896,
      0.245094688029863,
      0.0949242358226659,
      0.0553854810368669,
      0.132627734046492,
      0.0415592026191884,
      0.118498774217214,
      0.223049725770797,
      0.134308443168168,
      0.0860795529118597,
      0.18923558353249,
      0.0892485300438955,
      0.170870647895015,
      0.192465823210082,
      0.0666977678355248,
      0.0514403142185824,
      0.126493797291438,
      0.0367226585958056,
      0.0604076491155585,
      0.099190253732763,
      0.0612829669189703,
      0.158673327759263,
      0.091410180649014,
      0.071748549005111,
      0.245182907104968,
      0.0838396840267899,
      0.116614686905523,
      0.156356362435599,
      0.0643302145982669,
      0.078032202591115,
      0.158154972677721,
      0.0683713850520188,
      0.0783025921446166,
      0.169519764539521,
      0.0821232362773387,
      0.0820780661276956,
      0.196886264961463,
      0.0704332239615204,
      0.1372957308752,
      0.127833051254177,
      0.0267158473212722,
      0.131684355315182,
      0.0813417529513522,
      0.0523291984412384,
      0.148038522815963,
      0.0867220022904073,
      0.0977856350855965,
      0.21847177843058,
      0.0974551991829991,
      0.109926152526253,
      0.156575006102171,
      0.071753483041614,
      0.0916169864549858,
      0.13377993950961,
      0.0794216594688634,
      0.0673541513398173,
      0.170281567256048,
      0.0800742542874189,
      0.106388820257766,
      0.192030143602082,
      0.111948796430626,
      0.192517580094649,
      0.108577038013411,
      0.0419427457512156,
      0.176023799015428,
      0.0553233305260302,
      0.0909354951792575,
      0.180061871883441,
      0.123088018824031,
      0.0765844580316529,
      0.106302399596735,
      0.120258762265503,
      0.0841609387011796,
      0.186463968765026,
      0.163487130578095,
      0.106138078770297,
      0.209522488770349,
      0.0860648660415509,
      0.112373598035361,
      0.194110005238273,
      0.0850673702852333,
      0.0854810614945651,
      0.110785861791943,
      0.0741510223244678,
      0.168941679530615,
      0.112220264933055,
      0.0996033230572388,
      0.190017905740768,
      0.0799668842781851,
      0.101917430698991,
      0.187224217563869,
      0.113707930042311,
      0.0753066315681554,
      0.107404927367631,
      0.11617753741241,
      0.08001548214551,
      0.19739201263663,
      0.152347927108433,
      0.104389124465387,
      0.203894425082133,
      0.0947287633906233,
      0.164833995393759,
      0.146555000283894,
      0.0756452681092574,
      0.0884454277218674,
      0.109406878597794,
      0.0715087868304501,
      0.137441936247509,
      0.157135142723252,
      0.142073208942572,
      0.19910567430665,
      0.0815865175972601,
      0.0150229576563241,
      0.00848662309670772,
      0.0190633163737769,
      0.0449115978847116,
      0.0375476309686014,
      0.0189665626321003,
      0.0422492299610451,
      0.0410381227203487,
      0.0727557346762165,
      0.0398988080979458,
      0.0229329633100133,
      0.0278688683893841,
      0.0203138361959468,
      0.0223609766956518,
      0.0418013485225511,
      0.0216320140424156,
      0.055304793522087,
      0.0452095101758859,
      0.0408049422575762,
      0.024740610964309,
      0.0183168190732993,
      0.0575093896611711,
      0.166483165356535,
      0.171037976334627,
      0.146485232381696,
      0.0558140482387591,
      0.0656208188168972,
      0.148707746871351,
      0.0611571104500688,
      0.11374438308213,
      0.0885371293304401,
      0.0507610578848953,
      0.11322076729904,
      0.0537384317888968,
      0.0357366967655343,
      0.11051543022713,
      0.0325658206142315,
      0.0479120759530609,
      0.144936236699364,
      0.04574690758728,
      0.073364754750339,
      0.124238676204951,
      0.0295520644760686,
      0.0300609622005981,
      0.101429894511136,
      0.0276382785124408,
      0.113907053724255,
      0.187889153596683,
      0.0870239621961823,
      0.0883681453820065,
      0.107382049157515,
      0.0957497793912641,
      0.145699701685154,
      0.13499879603165,
      0.120676900531037,
      0.182668289658009,
      0.134598997286987,
      0.0944737603747111,
      0.180166565221821,
      0.107616700531441,
      0.0626385839283013,
      0.085713402228965,
      0.111825563040544,
      0.0559170167410255,
      0.165501505173128,
      0.126225449069044,
      0.0827196604152493,
      0.180846799148568,
      0.0563020563433644,
      0.111730796151072,
      0.184035965378818,
      0.0877724010626511,
      0.0962330430048261,
      0.100631068421519,
      0.0932400210287572,
      0.161939617525145,
      0.119189698063665,
      0.118759339154678,
      0.185660885136332,
      0.123362439245363,
      0.0956116324747922,
      0.181555080689642,
      0.0954561554940152,
      0.0656634506234524,
      0.0862770169664487,
      0.115973289549646,
      0.0364170038622189,
      0.182226746139944,
      0.148066065422441,
      0.123161092059642,
      0.166835465128397,
      0.0995048679045166,
      0.192566408540311,
      0.0940504381957037,
      0.137102780868852,
      0.199175102050814,
      0.0884788680056092,
      0.154816814563467,
      0.191502654576898,
      0.131802426221168,
      0.132971927163528,
      0.180635939912788,
      0.105705073038272,
      0.0394191332477696,
      0.122720538996021,
      0.0424061201995158,
      0.0355688813859545,
      0.117997790840144,
      0.0343437335953269,
      0.0351941464934672,
      0.120422391851739,
      0.0354442395574196,
      0.0732608551217285,
      0.0690048862020478,
      0.00559664956614103,
      0.0000753291628821211,
      0.0000016597401546633,
      3.20572231239417e-8,
      2.87680739684387e-9,
      3.03434278113054e-41,
      4.09717653512363e-12
    ],
    "energy_curve_upper_mid": [
      1.86592630956925e-13,
      0.00050681857933869,
      0.000888315631614679,
      0.000902636076127441,
      0.00061647634023961,
      0.000814467287883712,
      0.000632647601101922,
      0.000750499679245399,
      0.000545393384737218,
      0.00065447809583577,
      0.000578646064756732,
      0.000439610242447556,
      0.00084436876722873,
      0.000656512416876989,
      0.000346893430799407,
      0.000607839005504509,
      0.00067709366480046,
      0.000598909349445653,
      0.000389614117937063,
      0.000704297331828175,
      0.000696149856428714,
      0.000329855636235961,
      0.00979455384120382,
      0.0321286164268273,
      0.0162046875832891,
      0.0581630380067693,
      0.0251719792741434,
      0.0247390285203596,
      0.0632073600351754,
      0.0335718031252075,
      0.0686437366518038,
      0.0611708843331006,
      0.0370949810095279,
      0.0210318608193079,
      0.0533551192571704,
      0.0239375972156137,
      0.0209868093301934,
      0.0605956479466197,
      0.0142207309886711,
      0.0198673887507535,
      0.0696632767200271,
      0.0119841456461106,
      0.0653013607026463,
      0.0383052117533408,
      0.0137124071365879,
      0.0497804640963602,
      0.018832803354996,
      0.0181949250593605,
      0.0536744510318443,
      0.0218793381684323,
      0.0290775454134365,
      0.0619354065156937,
      0.0346144051808809,
      0.0731434323714252,
      0.0625985517092295,
      0.0396202562984869,
      0.0150146150825271,
      0.0547658472156062,
      0.0150859568076982,
      0.0223184358523625,
      0.0561966465560466,
      0.0121054767198959,
      0.0485548494384551,
      0.0449541949733401,
      0.00989151280092126,
      0.0701575738620795,
      0.0318264996613772,
      0.0147156317333649,
      0.0445287598100343,
      0.070866386380468,
      0.0191261171307495,
      0.0689636468991068,
      0.0648575505835109,
      0.0140571404686503,
      0.0946073681917746,
      0.0456781550519575,
      0.0278147859796113,
      0.076756950369602,
      0.0103385217910714,
      0.0144916801459873,
      0.0642949501174719,
      0.0306698370775204,
      0.0425156901942775,
      0.0313084584012802,
      0.0136759299196213,
      0.0686991165447207,
      0.0420634673900333,
      0.0173285233167549,
      0.0935602254696589,
      0.0146116518838368,
      0.0123144408060131,
      0.0541290290665595,
      0.0729120542630676,
      0.0161563653928585,
      0.0629597017536671,
      0.0680458499909046,
      0.0175585859473386,
      0.096326974699832,
      0.0387216398767103,
      0.0274663158545945,
      0.0710710689225377,
      0.010120442448166,
      0.0317059666779575,
      0.0565731594354989,
      0.0165834479428509,
      0.0677381325094067,
      0.0145791172209599,
      0.0176138429467151,
      0.063491972342067,
      0.0430365592970342,
      0.0264757822625209,
      0.0963323905565745,
      0.0307256745355079,
      0.0177164857220327,
      0.0530381296294894,
      0.0211421125457109,
      0.0346482456785982,
      0.100832755560977,
      0.0467391913705427,
      0.0252514371053324,
      0.0530539250592627,
      0.107252179866841,
      0.023670328744807,
      0.325727620184727,
      0.0812809839136831,
      0.080517488121635,
      0.0651514780593644,
      0.0211719482318639,
      0.101758930594235,
      0.0588959902574887,
      0.0266463625049943,
      0.0445496331182441,
      0.0779369832959127,
      0.066438658545036,
      0.296652275723637,
      0.144689323863544,
      0.0670343313181618,
      0.08633212845596,
      0.0390335405391914,
      0.0411854576601644,
      0.104180239136496,
      0.035621398223909,
      0.0259126182304334,
      0.0544717363070763,
      0.097685465932643,
      0.0837777443096865,
      0.28850497011533,
      0.077306811027486,
      0.0830075822290446,
      0.0693126165365749,
      0.0246307415742418,
      0.106976662478731,
      0.0575256181645636,
      0.0255212338578367,
      0.0416226834556225,
      0.10344139814091,
      0.053061598637062,
      0.308701873616276,
      0.122367473263561,
      0.0638171338255135,
      0.0978997815734245,
      0.0293195663734653,
      0.0694116121997623,
      0.0852634185313221,
      0.0136706159926002,
      0.0431892635443415,
      0.0621091276290584,
      0.0836900915489031,
      0.0826465621622354,
      0.017659927041844,
      0.035716259051364,
      0.044486548068216,
      0.0326305716846811,
      0.00883502380487481,
      0.0658107847822392,
      0.0172054947752486,
      0.0136228245825806,
      0.0621915656597159,
      0.060028054942481,
      0.0314657806850034,
      0.0591618513577769,
      0.00743281926580592,
      0.0419562230935171,
      0.0610923178394444,
      0.0175211087437177,
      0.0910890392173119,
      0.0575458956832732,
      0.0132753892015638,
      0.0538065752643266,
      0.0720606953275628,
      0.0671378230792003,
      0.0770800056813096,
      0.0169400074105866,
      0.0367027891181177,
      0.0414409407721226,
      0.0290646560835331,
      0.00889585195889549,
      0.064064911313838,
      0.0161259036468951,
      0.0161205869940749,
      0.0693522398889604,
      0.0391376803775477,
      0.0316249747074686,
      0.0566972108363238,
      0.00705970096419075,
      0.0618138874700902,
      0.0456988876409162,
      0.0134755748738529,
      0.0524415219438031,
      0.0155878282629339,
      0.0315350496878834,
      0.0635936138361151,
      0.0849738048094434,
      0.0165936949232162,
      0.0485675379441383,
      0.0132632733683522,
      0.00951185526171439,
      0.0480705539904009,
      0.0450838586026942,
      0.0181257147708419,
      0.0509567324546049,
      0.00937198762257831,
      0.0586933450630596,
      0.0999253320513156,
      0.0127735742789917,
      0.023708342980349,
      0.0520198907575715,
      0.00820936230750579,
      0.0456304968411191,
      0.0501371958769433,
      0.0070539213579001,
      0.0565624119797024,
      0.0338164385036119,
      0.0182669187306486,
      0.0593224720657024,
      0.0808585293010493,
      0.0149525789848465,
      0.0463313121246776,
      0.0179152955610082,
      0.0105704921905915,
      0.0581695991594095,
      0.0292331744607899,
      0.0194757960793257,
      0.0486869260519135,
      0.00881904475030367,
      0.0744034455079498,
      0.0910124677358401,
      0.0191235021141245,
      0.0512781210901957,
      0.0448490282296603,
      0.0113793288712841,
      0.0549116410693041,
      0.0512646676179086,
      0.0235055109665641,
      0.0758779524644243,
      0.0561819660862423,
      0.0231627881106922,
      0.0474353086487377,
      0.0809701657759428,
      0.0516079258491842,
      0.302671123580758,
      0.102348175525814,
      0.0414769922030423,
      0.0895166487269751,
      0.0265251180885424,
      0.0444434825116673,
      0.115991354155517,
      0.0317974360806798,
      0.0383299929882213,
      0.0448162447618108,
      0.103382185843895,
      0.153733725682952,
      0.205935961178646,
      0.0732381835138591,
      0.0900979324191759,
      0.0557321754835089,
      0.0240502732482732,
      0.0908936931641396,
      0.0547414473435987,
      0.0218487415257708,
      0.0450286279749993,
      0.0906314844826533,
      0.0299395173113021,
      0.335103558390053,
      0.0735225172388801,
      0.0409729826888595,
      0.085983493471047,
      0.0301096996908213,
      0.067727344413799,
      0.0996175338005686,
      0.0255354371616939,
      0.0458701009514291,
      0.0484719611975912,
      0.106223875824578,
      0.183734522471499,
      0.205888075824342,
      0.088379644912393,
      0.0909849409962424,
      0.0557489169234069,
      0.00160893404124484,
      0.000448884561665633,
      0.00200863430964002,
      0.00240996190617459,
      0.00912225296750499,
      0.00294170247681827,
      0.00634596965577458,
      0.122309250915185,
      0.016764372918672,
      0.0046982492379708,
      0.000875588972870061,
      0.00424685733565618,
      0.00447910620061444,
      0.0330261326218066,
      0.00499741230710999,
      0.00224624125129794,
      0.0102535863205238,
      0.00525358040548864,
      0.00552717489755174,
      0.0121596833369482,
      0.0873322568623625,
      0.0310046636647931,
      0.0153381096017455,
      0.0134845742147466,
      0.0448405775658979,
      0.0132410527224232,
      0.0109249708690284,
      0.0613597993905325,
      0.020825210286743,
      0.021554757353148,
      0.0341660527595108,
      0.00868658915384576,
      0.0404560965324073,
      0.0258778023800483,
      0.00932243456831374,
      0.0586954434438428,
      0.0138756528346533,
      0.0096655772014012,
      0.0552431971768608,
      0.0339109147167131,
      0.0147351244272855,
      0.0604796369455551,
      0.0109454153208991,
      0.00875221634024518,
      0.0467193154868228,
      0.0164767665703798,
      0.0360293275867871,
      0.0868521348076657,
      0.0331581151666454,
      0.0240613036682781,
      0.0475449160709186,
      0.103001803398467,
      0.0788235206472407,
      0.276712032304911,
      0.0617763716978727,
      0.0804766131067604,
      0.0606860019921172,
      0.0252700485987663,
      0.103149080475458,
      0.0540978038681591,
      0.0231985911317297,
      0.0444141647016425,
      0.0857248697392423,
      0.0539288613092611,
      0.283374021802056,
      0.0945313498389744,
      0.0404880718820139,
      0.0920553926938888,
      0.0229844265197227,
      0.0361638227931572,
      0.0969125099223703,
      0.0263956489998037,
      0.036777919271589,
      0.0386258755852342,
      0.107319455674939,
      0.128192916447498,
      0.193476349173879,
      0.0739203752097767,
      0.0702759323539801,
      0.0560525992165052,
      0.0235350908943421,
      0.105162560028525,
      0.0552435246643737,
      0.021976694849139,
      0.0394921237572405,
      0.112253525777853,
      0.0264027327531661,
      0.303799523284758,
      0.0873470869759832,
      0.0641202210313151,
      0.0970130840868186,
      0.0249225161499509,
      0.0153298545958559,
      0.0140437215178176,
      0.00126711605954806,
      0.0373445577051065,
      0.000967937430859731,
      0.00197167646445674,
      0.0285421739992338,
      0.00252769168257079,
      0.00254717712096969,
      0.0327291881349176,
      0.00130353160525079,
      0.00156472826822138,
      0.0397577514861615,
      0.00205758492039473,
      0.00152077821484722,
      0.0321353094967768,
      0.00115893581893678,
      0.000861559148666099,
      0.0295380490137126,
      0.00136639866992127,
      0.00777394518123628,
      0.0230024195473473,
      0.000163641438171424,
      0.00000338783938010328,
      9.25108754028309e-7,
      7.43018274016113e-8,
      9.41547272115187e-9,
      1.50273276332507e-40,
      1.95922262504771e-12
    ],
    "energy_curve_brilliance": [
      1.0397415551651e-13,
      0.0000388725443951264,
      0.0000618213208415413,
      0.0000594981844987214,
      0.0000444137921532178,
      0.0000548428718952965,
      0.0000440141403356367,
      0.0000543945803561508,
      0.0000439341335428603,
      0.000039700885000668,
      0.0000468585306649763,
      0.0000565926690605887,
      0.0000760943899234567,
      0.0000611048285404811,
      0.0000311980223350052,
      0.0000610839230390253,
      0.0000601602887773831,
      0.0000471797113211223,
      0.0000363536217201212,
      0.0000554513377451122,
      0.0000518255628425202,
      0.0000274081876351702,
      0.00336043494865821,
      0.00911064088670442,
      0.0134474096552425,
      0.013825832790665,
      0.0105058109402209,
      0.00452862876578734,
      0.0159865626966205,
      0.0376496383114459,
      0.00880042967075222,
      0.0141118673569397,
      0.00635393920064508,
      0.0131013418478829,
      0.0112156556933876,
      0.0117015507519125,
      0.00600317150390079,
      0.0121751750007869,
      0.00364502371303061,
      0.00815822619057097,
      0.0222842692019708,
      0.00581798738611218,
      0.0148044596360582,
      0.00770396447618799,
      0.0473656328484354,
      0.0122233914207199,
      0.0130427594492294,
      0.00665396150556762,
      0.0132731354342107,
      0.00920344518567131,
      0.00441256556573929,
      0.0154437229866968,
      0.0369918068819818,
      0.0120848422905338,
      0.0116842753340103,
      0.00865043574679789,
      0.0123549694517236,
      0.0140529494400311,
      0.00636097396189908,
      0.00617409285996244,
      0.0122984169198869,
      0.00385487465157631,
      0.0144645370313484,
      0.0177631546888889,
      0.00379251574157667,
      0.0161551585215554,
      0.0157002973802063,
      0.0339998851649519,
      0.0146055277515375,
      0.0846758542135983,
      0.0186981934201597,
      0.0346415213596096,
      0.0949725461272843,
      0.00437450424529478,
      0.0175854011272096,
      0.0559314303577626,
      0.0143960992408833,
      0.0388747012711998,
      0.00936281814404981,
      0.00669332197567001,
      0.015328740954293,
      0.0088334404080994,
      0.0152739209647376,
      0.00820033483278219,
      0.00425066317217605,
      0.0210849857383955,
      0.0181355424199582,
      0.033822322130675,
      0.0668446076645325,
      0.00644291062806977,
      0.00645216499435709,
      0.0118482667206756,
      0.0812374911713063,
      0.0138586255723732,
      0.0354310782480138,
      0.090535757064333,
      0.0063344128867439,
      0.0192757718198284,
      0.0436307406446201,
      0.0154803633585874,
      0.0435620039981276,
      0.00772402844637635,
      0.0117543781528767,
      0.0138832455192519,
      0.00677217200251643,
      0.0170018470154267,
      0.00622883845892936,
      0.00585035972590004,
      0.0205942075727786,
      0.0178306885297855,
      0.02985431629541,
      0.058094415982705,
      0.0118666025251501,
      0.0071889007154029,
      0.0135656836093781,
      0.014332378343793,
      0.00656035975038816,
      0.0241167934463709,
      0.0118574480703763,
      0.00703244164788353,
      0.0136075712419842,
      0.0309195951328514,
      0.00846196730539179,
      0.0142408358859824,
      0.0547554505284558,
      0.0138079212440804,
      0.0174286584053338,
      0.00586564659141983,
      0.0162019738919378,
      0.0173235784584671,
      0.00558047797403914,
      0.0120908124490302,
      0.0211660604790783,
      0.0197212346520124,
      0.0197784419743085,
      0.0592701925112335,
      0.013662585132453,
      0.0144258726704996,
      0.0160449033359074,
      0.00667367607771822,
      0.0242542546865268,
      0.00707284944495298,
      0.00690667475748809,
      0.0146574660717657,
      0.0381048988363619,
      0.0138921308784415,
      0.0130686688048937,
      0.0580995620457352,
      0.013777853639278,
      0.0215866787133889,
      0.00401255350226455,
      0.0183066994953091,
      0.01526529374952,
      0.00582281736850864,
      0.0114095664556931,
      0.0229893801494117,
      0.0257705988694713,
      0.0184120432459939,
      0.0615313521395103,
      0.0144586912280048,
      0.0194712814059969,
      0.0145936921303914,
      0.119937510070789,
      0.0355186379059997,
      0.0038179295782464,
      0.00992330841940562,
      0.0276262738399487,
      0.290545683878964,
      0.0649906152081258,
      0.0119025288224739,
      0.00445688326926256,
      0.0106951366604574,
      0.0112137119300912,
      0.00338316452558534,
      0.023270032131993,
      0.0051117549113154,
      0.0122314025947596,
      0.0168326032684531,
      0.0265122991778871,
      0.015703608235104,
      0.0217000332758726,
      0.00439788552023972,
      0.22541871443536,
      0.0165471208866302,
      0.00772908451945739,
      0.125193050524112,
      0.0338479186491612,
      0.00347391708038477,
      0.0110633760117298,
      0.066791333043684,
      0.26765313313885,
      0.0473631703556724,
      0.0102783637782609,
      0.0045473560214604,
      0.0102797343262699,
      0.011062392627884,
      0.00351939935247715,
      0.0230068906184048,
      0.00665153914408175,
      0.0143524431799648,
      0.0205779570435576,
      0.0192107441767081,
      0.0171092916057373,
      0.0213394887282466,
      0.00401298884951111,
      0.244042572171081,
      0.0137905416319989,
      0.00480529824977205,
      0.0135073244821216,
      0.0124581774577212,
      0.0490327049818637,
      0.0155766911432731,
      0.144737530571228,
      0.0040960571003946,
      0.0134425581592925,
      0.00608453225785162,
      0.00219136668736974,
      0.0178206177029184,
      0.088051134221066,
      0.0132111605433751,
      0.0149629502509677,
      0.0037741410071832,
      0.0870507274407083,
      0.0630534801395897,
      0.0072519835090879,
      0.0106478285112172,
      0.00986412556778282,
      0.00479782132980244,
      0.0116975604365703,
      0.0608681117746702,
      0.00147929682791498,
      0.0116388151491597,
      0.0538841487427544,
      0.00873582987841043,
      0.0188821015287883,
      0.135905937086418,
      0.00307574353603908,
      0.0114947322260504,
      0.00764151277017597,
      0.00355852364602547,
      0.070204583790174,
      0.0345830907056407,
      0.0149249734604802,
      0.0141210639621035,
      0.00414939183058846,
      0.0810594442641331,
      0.0584496989274707,
      0.0103579737179612,
      0.0131458865007859,
      0.015942323274958,
      0.00799039582848458,
      0.0133929290899873,
      0.0841789019615737,
      0.0125368859742875,
      0.0161618908555543,
      0.0145991905171747,
      0.00529928420581605,
      0.0126710930652114,
      0.0223743698943292,
      0.0183645689179518,
      0.0172098200757375,
      0.0616806455105512,
      0.0101815396302471,
      0.0189200800760646,
      0.0123230409106608,
      0.00749545861490102,
      0.0241964349615174,
      0.00615528212014033,
      0.00962511175461643,
      0.0118279762618479,
      0.0333623624039299,
      0.0180902546198507,
      0.0124278017891149,
      0.05731406824138,
      0.0160433810157154,
      0.020546070840872,
      0.00260006854098507,
      0.0153891530474899,
      0.0175538439676676,
      0.0050046722542532,
      0.0116136195634523,
      0.0261028407705897,
      0.0160829405718984,
      0.0160617318112607,
      0.0544121715264566,
      0.0101368021921046,
      0.0170671980706531,
      0.0126702379266848,
      0.0133320571695643,
      0.0192695883325412,
      0.00504324996644636,
      0.0104039858293177,
      0.0147840840845236,
      0.0333684808295793,
      0.0156771275669305,
      0.0352804935347602,
      0.0368320089988615,
      0.0191495178843915,
      0.0184279609704023,
      0.000058853031949247,
      0.0000304398256494334,
      0.000929542305686972,
      0.00139175262446813,
      0.0125068042187194,
      0.00430264339474282,
      0.00601600785220434,
      0.229598448409829,
      0.0057569208504346,
      0.00866471732640637,
      0.000203304851733708,
      0.0235337790021215,
      0.0144351463757171,
      0.00839558937027161,
      0.00443777772161679,
      0.000451233680168474,
      0.0260285028961259,
      0.00332258063366299,
      0.0114808062242093,
      0.0534653575511462,
      0.339189275796764,
      0.0400538326876503,
      0.0180387642919795,
      0.0258049892370084,
      0.0357620145544876,
      0.0222218781343611,
      0.00652347436577035,
      0.0171041985577039,
      0.0382907218535252,
      0.017390582866176,
      0.0169538391558305,
      0.00495441437957088,
      0.0100926969688488,
      0.0135136593832299,
      0.0251146852977154,
      0.0725999289420658,
      0.0342712992343915,
      0.0043154994141093,
      0.0179115160078075,
      0.0346642319613076,
      0.0198793045731417,
      0.041588947045215,
      0.00759358019136204,
      0.00494674073171877,
      0.0118930474668841,
      0.00973253295112159,
      0.00617276544530495,
      0.0197012171820662,
      0.00612701591627863,
      0.00707459539288447,
      0.0110706671101301,
      0.0300766750757171,
      0.0126385649782587,
      0.0130453893833459,
      0.0541269730436445,
      0.0128039302981533,
      0.021479705701823,
      0.00334635190733205,
      0.017401561391092,
      0.0160810829183326,
      0.00537266339736498,
      0.0109560061272329,
      0.0238672535836664,
      0.0188876165993336,
      0.0167062377635181,
      0.0501218229242709,
      0.0104601113302406,
      0.0158388611893649,
      0.0118525991926069,
      0.00679125559563689,
      0.0219724818668163,
      0.00570452377231841,
      0.00928636660397687,
      0.0104344092519981,
      0.0282789152721617,
      0.0146036048834957,
      0.0112757055974845,
      0.0569732952854364,
      0.0127501533507776,
      0.0200916845199684,
      0.00281860714068741,
      0.0190829788108135,
      0.0149517342544292,
      0.00480239419176706,
      0.010729006327246,
      0.0302990362786982,
      0.0133715094091998,
      0.0178935760264947,
      0.0480540505766593,
      0.0141002429985987,
      0.0197339897553432,
      0.0121467199879401,
      0.00122471816587933,
      0.00113730262216914,
      0.000244020395046442,
      0.00299117905457741,
      0.000160529111954657,
      0.000292935268221043,
      0.00247232183311548,
      0.000326348246261507,
      0.000397448213217714,
      0.00281462476282947,
      0.000200267073308297,
      0.00011377936008683,
      0.00284395167185019,
      0.000147106629939728,
      0.0000965110508763992,
      0.00264006290414314,
      0.000112369723204986,
      0.0000967461846194884,
      0.00218978723364102,
      0.000129098340184247,
      0.000533563755918234,
      0.00213158075244431,
      0.0000215056251836562,
      0.00000147308366327913,
      4.8227732869217e-7,
      6.07022478795497e-8,
      8.87200523840643e-9,
      1.70601387544182e-40,
      1.09172863292335e-12
    ],
    "loudness_range_lra": 4.18,
    "true_peak_dbtp": -1,
    "lufs_per_section": [
      -24.56,
      -22.13,
      -18.13,
      -18.37,
      -18.12,
      -18.37,
      -18.43,
      -18.32,
      -18.45,
      -18.17,
      -18.84,
      -18.38,
      -18.5,
      -18.22,
      -18.04,
      -18.4,
      -19.85,
      -19.09,
      -22.55,
      -23.36,
      -68.09
    ],
    "essentia_energy_curve": [
      0,
      0.3140280127896458,
      0.4243393907926046,
      0.40552296302292384,
      0.39509799941835166,
      0.41021863150275334,
      0.3607184105198496,
      0.42466673470806215,
      0.32145625797629596,
      0.40857788729249545,
      0.3253383149011084,
      0.3440998317903509,
      0.6660280395029473,
      0.6425128890771608,
      0.40568014833125143,
      0.6576465886672638,
      0.6757353673700399,
      0.28478538567581235,
      0.661728662982737,
      0.6772660381648503,
      0.6600430870641125,
      0.332876440694019,
      0.7270710200823779,
      0.8147455864915476,
      0.7698364401822325,
      0.8610916678433066,
      0.8868173395543434,
      0.7182871259829187,
      0.769808471776502,
      0.8837702588313706,
      0.7786296335516103,
      0.9666074102027037,
      0.9978171069758092,
      0.8935760908911825,
      0.8115824867426286,
      0.6950621302795081,
      0.8239911615875565,
      0.9041837549515855,
      0.7952447642485824,
      0.6475066335190196,
      0.8009112270866857,
      0.764094865601171,
      0.9719574870747543,
      0.9311454454081265,
      0.8432745333176742,
      0.7778620042959644,
      0.85429502297634,
      0.7177581900943822,
      0.872140293426934,
      0.8540669771313577,
      0.7673464822096012,
      0.889317004148706,
      0.8075769402857674,
      0.8541911061397669,
      0.9722410965814868,
      0.8918247338771232,
      0.8049868149390961,
      0.8570626899288624,
      0.7034278184504668,
      0.9546394557476553,
      0.8390331254505704,
      0.672921739479244,
      0.8112423318123622,
      0.7030429329671218,
      0.8797062813648684,
      0.9374222164539722,
      0.8968200731849539,
      0.7927461842823291,
      0.9200996006989295,
      0.7594476662752127,
      0.8287849830814926,
      0.8808703120557518,
      0.7234307048524723,
      0.8891741566821962,
      0.6725614361719178,
      0.8015601207565385,
      0.9051357618557674,
      1,
      0.8576708729331934,
      0.8236614685549681,
      0.7722820114773111,
      0.932384833064912,
      0.8411758315339003,
      0.6636565828861293,
      0.6616478146386648,
      0.8015777094343666,
      0.7137378942440266,
      0.9460311792842991,
      0.983526561450526,
      0.9004878741620173,
      0.898822088241179,
      0.7766229038259057,
      0.8219864037238434,
      0.9063744811379129,
      0.7262686738902209,
      0.73916710345816,
      0.8216807910573676,
      0.7340006080397907,
      0.9440696030267677,
      0.9772935870318958,
      0.8980643098565138,
      0.8271493809099815,
      0.741480569022312,
      0.8710151706661624,
      0.905987618408469,
      0.7192836675427109,
      0.6890978902619284,
      0.6428623722591407,
      0.6887095996700474,
      0.7309538272396243,
      0.7416854481425511,
      0.7564306297702844,
      0.7888750645180241,
      0.7679799085672591,
      0.6971289518134096,
      0.9668814803012206,
      0.7949034253018777,
      0.8117575590926942,
      0.7978549046175536,
      0.68751369493924,
      0.8906573084256587,
      0.8264012545729492,
      0.7158286788408467,
      0.6526377854981528,
      0.776315168467974,
      0.6737659803739404,
      0.908985606655016,
      0.7922919817520544,
      0.741324990358456,
      0.5913231736895996,
      0.7036463327728913,
      0.774225158011856,
      0.6335086595325404,
      0.6730414191634879,
      0.6550253536255665,
      0.8124857776313648,
      0.7236095346268041,
      0.8256802471624503,
      0.9523031685875522,
      0.7696762859939171,
      0.8510987181640989,
      0.5853592235571964,
      0.8908295161751734,
      0.7881903358685318,
      0.8067933354487192,
      0.6732541748710553,
      0.7919605180079611,
      0.6947324891459283,
      0.7868774613059639,
      0.8800180539230713,
      0.7988084046251975,
      0.5887111076386103,
      0.7024108090125584,
      0.6973471748566673,
      0.6802257177276768,
      0.6376995217313712,
      0.6758143383983161,
      0.8156632825602632,
      0.7962588706112259,
      0.8717099050470357,
      0.9375309147413862,
      0.7603960285699716,
      0.7459885919572851,
      0.8467208138341742,
      0.7871347590627856,
      0.9868346647712888,
      0.9900009441957403,
      0.908909394698968,
      0.8451173982445295,
      0.8424093308125477,
      0.8573068034316682,
      0.9127166159088641,
      0.7476465424619518,
      0.6412322597526164,
      0.7666489041977825,
      0.704963162799895,
      0.9791655738322258,
      0.9380283644962503,
      0.8315683671162697,
      0.795485835328792,
      0.789689834737267,
      0.7425376430408485,
      0.9388231290761923,
      0.8555582110962536,
      0.7816055738232691,
      0.8458649498467262,
      0.7946763510515322,
      0.9419741860542163,
      0.9610280893194687,
      0.8926472419865655,
      0.8374456842041341,
      0.9373968116363444,
      0.8046661091130479,
      0.9155954183226527,
      0.8370051756663419,
      0.6981445640174668,
      0.8039071918358995,
      0.6124503875929791,
      0.8590916946907466,
      0.9450730838998905,
      0.8330528803554301,
      0.8452894956396543,
      0.9022529848516033,
      0.7494992010405959,
      0.8579758327942272,
      0.8662093061767434,
      0.6946276029076401,
      0.9004217539508858,
      0.7802015376962401,
      0.864319310374244,
      0.8960253336988534,
      0.9242855822911598,
      0.8439406051990511,
      0.8038075384398276,
      0.8314428237755533,
      0.96401534274983,
      0.8543977867238931,
      0.7040466187420845,
      0.6938235013758519,
      0.7739516860212462,
      0.734974069115099,
      0.9462991947533917,
      0.9731608222185504,
      0.8647799783277393,
      0.8683269364716655,
      0.8181403177068535,
      0.836998943534659,
      0.8674913383297237,
      0.7042871246795127,
      0.7562482743836257,
      0.9256276308591467,
      0.7778379052256984,
      0.9320586532313887,
      0.9637950792716296,
      0.8724770657627394,
      0.8220963812188408,
      0.742464683293512,
      0.8742556574555131,
      0.9829882981822873,
      0.7082099609140026,
      0.6228376672234767,
      0.6960714333803343,
      0.7608214185993015,
      0.7152541754291013,
      0.8045028509474853,
      0.7395959744479179,
      0.8169365017399525,
      0.7113618258577167,
      0.7142163520556726,
      0.9320350435626396,
      0.768221708239732,
      0.8283535643948321,
      0.7890425731579047,
      0.7252176785868427,
      0.870194957480843,
      0.8274638082278101,
      0.6979626294484281,
      0.6569119957876512,
      0.776023190499133,
      0.665865220913827,
      0.9482870986919872,
      0.7478310019399429,
      0.7482769914614069,
      0.7705516030561209,
      0.5064200869160391,
      0.8938072813658902,
      0.7783311360626868,
      0.6458600913589319,
      0.6645067024375279,
      0.8208732745201776,
      0.721229726912602,
      0.8273698576947691,
      0.9315093707563358,
      0.7683153582254354,
      0.8432064188358959,
      0.5727273466756655,
      0.9365147382763436,
      0.7826148085105298,
      0.7558718660136686,
      0.6458843514370705,
      0.782556717720449,
      0.6849235763983247,
      0.7887696466068106,
      0.9194791481477579,
      0.7400715657556874,
      0.5755626744181875,
      0.7146778666422565,
      0.6827007455258493,
      0.6694530710142488,
      0.6376298294874964,
      0.684756549634455,
      0.6640224898821023,
      0.7509075959123827,
      0.6006405059418041,
      0.6983909258409935,
      0.6828607049330117,
      0.7800491739705145,
      0.7341973180335299,
      0.7779853093011191,
      0.6842300811220272,
      0.7348007621391843,
      0.716273804152178,
      0.836423955181049,
      0.6404591735550295,
      0.801320026908835,
      0.852585621569121,
      0.7072335230427935,
      0.6623404173297749,
      0.8140652133547038,
      0.7788633801109126,
      0.7092967268259329,
      0.8807296526606122,
      0.8426465812239342,
      0.8969475087059916,
      0.8192512824410798,
      0.8138973935035448,
      0.7626657140339043,
      0.7255380924517725,
      0.6751053187912249,
      0.7997411684826331,
      0.6516009201787865,
      0.9065889671261399,
      0.8498369858101522,
      0.7371796122741212,
      0.6964016787316738,
      0.7477861597977707,
      0.6356827338765805,
      0.8840255084197689,
      0.7435902736230882,
      0.5679158664789018,
      0.7364692164790804,
      0.5743808926096339,
      0.7640461197091688,
      0.8703683195747514,
      0.7705788857466691,
      0.7700944981761689,
      0.7981180683323977,
      0.7059604523209012,
      0.8279890616740129,
      0.8758370494631249,
      0.7441484598225327,
      0.8303598059846902,
      0.5669467907153873,
      0.9196794855990474,
      0.7841110603012272,
      0.7050211404346881,
      0.623790466473651,
      0.75298203990128,
      0.6665435724598034,
      0.7769271999818318,
      0.8948092458055678,
      0.7078508631211513,
      0.7115073147230095,
      0.5520757302995376,
      0.7025689718947683,
      0.7662941196674771,
      0.7580494458097736,
      0.6677067348416376,
      0.7720067869957699,
      0.7379330913844494,
      0.7747979713603574,
      0.8139277416708814,
      0.8615465106077398,
      0.6588076105302559,
      0.7365186545105505,
      0.7611705501699495,
      0.8130580618601158,
      0.8265986525035757,
      0.6593401286053441,
      0.7746836121886903,
      0.6199412306571733,
      0.8094416009156865,
      0.7479513112761076,
      0.8786122823477643,
      0.5707557212013162,
      0.6039950272895308,
      0.7221629864836435,
      0.6590971163259951,
      0.6170439836592547,
      0.6463698892450491,
      0.5858573207543382,
      0.36094844132669235,
      0.41153205741727283,
      0.3231231410255212,
      0.3446561717406925,
      0.40756934542047407,
      0.3692628454566149,
      0.4352862451679455,
      0.31815073321496967,
      0.35844598456638765,
      0.4200390167674128,
      0.31583354380615686,
      0.3187449630590451,
      0.4363789567587878,
      0.3483822551443597,
      0.29615818037778685,
      0.4259974426481161,
      0.33058837096585797,
      0.38403181502725586,
      0.36929213811036454,
      0.3744400663314574,
      0.4619624988105513,
      0.32333675726668937,
      0.0776594651744181,
      0.006615361899667246,
      0.0020165516401973063,
      0.0013405685829015286,
      0.00022927974773922737
    ]
  },
  "spatial": {
    "stereo_width": 0.354,
    "stereo_image_motion": 0.2932,
    "height_perception": 0.0288,
    "depth_distribution": 0.461041870906085,
    "reverb_size": 0.384829372629415,
    "dry_wet_balance": 0.538958129093915,
    "analyzed_at": "2026-03-22T16:25:29.080945+00:00",
    "stereo_correlation_curve": [
      1,
      0.412559698056733,
      0.459100477233795,
      0.435672223865416,
      0.472807294234268,
      0.480536516511254,
      0.435175161575578,
      0.501179549558409,
      0.342313035422278,
      0.413499106573823,
      0.365890370753274,
      0.348062556509934,
      0.847652040815034,
      0.765748032711509,
      0.564751684668296,
      0.840428094759899,
      0.809270548089732,
      0.232536337770428,
      0.837564900818686,
      0.798803221633767,
      0.706281949498418,
      0.493479707842949,
      0.892937861136379,
      0.881719946162444,
      0.846171379628837,
      0.868204807936312,
      0.873611806987896,
      0.730757521013119,
      0.824121796105517,
      0.863844838235902,
      0.823848585133715,
      0.930192843239532,
      0.926605164856166,
      0.857851890986484,
      0.870086031650898,
      0.807730048789015,
      0.800969931461847,
      0.888022667163159,
      0.824770112317166,
      0.713343989729174,
      0.855630275593075,
      0.784058315628547,
      0.908892770540077,
      0.908151705339918,
      0.857818521535828,
      0.844152040637128,
      0.861791554436035,
      0.765746399122912,
      0.858745863754888,
      0.83854378361313,
      0.79989317821824,
      0.879954091367076,
      0.835807603237059,
      0.871689457316234,
      0.930120856120994,
      0.875875046913793,
      0.875605322228012,
      0.878426172739023,
      0.726654110136993,
      0.911306525771573,
      0.847538289990478,
      0.744514252317453,
      0.83929831862814,
      0.799038073784655,
      0.853742487372221,
      0.887761212062278,
      0.896678165397734,
      0.844142236191727,
      0.888028741514445,
      0.816824462918857,
      0.844975090991659,
      0.877700296700214,
      0.743693423314235,
      0.863761097286011,
      0.793374057598352,
      0.852912959421954,
      0.909652991117025,
      0.929130168598833,
      0.840179359765819,
      0.866325178423778,
      0.793351270034037,
      0.886999866707125,
      0.862868865427954,
      0.702028831299055,
      0.750040289800696,
      0.856091010606002,
      0.719184887346322,
      0.89840805637124,
      0.914645151083322,
      0.853343326546293,
      0.857266424796867,
      0.829046945922169,
      0.850134872445955,
      0.886162941913202,
      0.759460834401949,
      0.830398291761801,
      0.876015515673447,
      0.804287255541241,
      0.926686013959371,
      0.918684735253768,
      0.870127760393588,
      0.867413170364481,
      0.819247994531044,
      0.853082591220587,
      0.891228111571571,
      0.777861049734068,
      0.741780771698096,
      0.705726749077595,
      0.684114999836325,
      0.750340855881436,
      0.774382400875782,
      0.784622680194649,
      0.829815278786449,
      0.64473055226744,
      0.589788959541507,
      0.725593314595198,
      0.738303489700896,
      0.73796535346623,
      0.843794070471035,
      0.744047937172477,
      0.87768118528156,
      0.748234270606157,
      0.614893472807792,
      0.613860932038739,
      0.672039234798659,
      0.515602440038253,
      0.676988870964535,
      0.754961177273078,
      0.689819930998351,
      0.6118146883269,
      0.790916097279952,
      0.793483336527413,
      0.484137556000784,
      0.556428800598611,
      0.600837536945155,
      0.7418909425553,
      0.610459817729086,
      0.626464467274738,
      0.802976831100948,
      0.719153041511958,
      0.808752572644768,
      0.709229264792423,
      0.869419152816383,
      0.67204865023531,
      0.746122591596697,
      0.574808964527024,
      0.751010347804564,
      0.508190065912455,
      0.606521062942737,
      0.754664112107671,
      0.728139078951256,
      0.53939530521245,
      0.85640037506754,
      0.735991390637306,
      0.582429212680427,
      0.520372304493563,
      0.573604825898786,
      0.825849467980313,
      0.851342701205907,
      0.828021679365903,
      0.891983930836351,
      0.775204248465342,
      0.828563330389502,
      0.864285906894284,
      0.824247151680673,
      0.939568768856957,
      0.917615883721099,
      0.872650557424497,
      0.833409804500088,
      0.842421111041928,
      0.796522372454218,
      0.898743870148774,
      0.823220583510221,
      0.712656689432517,
      0.834244290773086,
      0.735859698480459,
      0.913828734638729,
      0.904066232792663,
      0.84749844780487,
      0.865873035308855,
      0.867605155134352,
      0.790990577337576,
      0.878628348355734,
      0.850126768096989,
      0.829025100270393,
      0.873860107542823,
      0.816615836148035,
      0.902502926438031,
      0.91477216360644,
      0.874057329666671,
      0.840674942587701,
      0.878528543244183,
      0.766078011528193,
      0.920660904515497,
      0.861763505913281,
      0.7655389569194,
      0.840678285251571,
      0.695296609278248,
      0.846019863920591,
      0.910969084670834,
      0.852046445147769,
      0.876933378383211,
      0.905638735993709,
      0.814212123003134,
      0.867248493121109,
      0.872045704140071,
      0.724514306554813,
      0.875712314769041,
      0.828474524374023,
      0.853720513559247,
      0.907324052017992,
      0.922381921655333,
      0.833558098761851,
      0.869240460083768,
      0.810676556817239,
      0.884527290318507,
      0.864563068527515,
      0.721578040772522,
      0.748822779627055,
      0.832435560507428,
      0.769885522775069,
      0.916883136924178,
      0.921337300093073,
      0.85534661717915,
      0.883188795177239,
      0.870034048220569,
      0.84516701192527,
      0.867447244659744,
      0.686895641698489,
      0.810958666181934,
      0.870938204033648,
      0.831367094603585,
      0.93125093587368,
      0.924293341949365,
      0.867897861179564,
      0.856987916678823,
      0.801166005495284,
      0.837199640663481,
      0.898835358430096,
      0.760988729581575,
      0.69242206401127,
      0.763452837033711,
      0.789814066634119,
      0.776499107737266,
      0.832702538579899,
      0.784389579008351,
      0.811468095536618,
      0.592174611705317,
      0.559936043476815,
      0.764407612045159,
      0.720924603235307,
      0.74841038175784,
      0.847511159849042,
      0.743756224374156,
      0.860972237976361,
      0.748535751569915,
      0.59788440566857,
      0.624977155509173,
      0.659856041499361,
      0.521911220448335,
      0.695928513712679,
      0.734367059445866,
      0.70019963619656,
      0.771886347130178,
      0.554734310499112,
      0.85138433296335,
      0.684400248326117,
      0.524303344854531,
      0.606360041629613,
      0.7333014485227,
      0.618796026835219,
      0.63403659226082,
      0.79804134445774,
      0.723921189073071,
      0.810440634518417,
      0.694224224251077,
      0.896714158060682,
      0.705181993809523,
      0.706904413304758,
      0.533343189238894,
      0.736454218688855,
      0.500281589375012,
      0.607138532123383,
      0.770996028525518,
      0.707403546682891,
      0.522710131190666,
      0.834384395425497,
      0.745581786283804,
      0.561968835280824,
      0.52030621585913,
      0.58117849065221,
      0.69602111805382,
      0.867734471222048,
      0.690180668068103,
      0.895767824057981,
      0.844771081538779,
      0.921116602304603,
      0.870291843750188,
      0.914543838852943,
      0.878754966087476,
      0.887412186831473,
      0.882354447772478,
      0.920647816471559,
      0.849782460137105,
      0.894038492009736,
      0.909015934117495,
      0.826643620083377,
      0.854100058801107,
      0.928377208798497,
      0.850591603695415,
      0.795235809459789,
      0.940847370426016,
      0.942305125816347,
      0.931815861972355,
      0.751145824428206,
      0.678453566178276,
      0.635227993638302,
      0.593601813825761,
      0.657421551550636,
      0.759184368857192,
      0.519444131593494,
      0.850718241300522,
      0.844802755240786,
      0.646007474384554,
      0.790603423005045,
      0.612695411111291,
      0.395900251778792,
      0.760537596695051,
      0.579514635711811,
      0.418774978278996,
      0.714169466185042,
      0.337476216825592,
      0.700708662469999,
      0.827653424666804,
      0.699938391275636,
      0.845920366810073,
      0.737290992964947,
      0.607722473079348,
      0.653995148907324,
      0.802000248095351,
      0.721005947442539,
      0.818218977772934,
      0.67683819366828,
      0.874999179068455,
      0.712474653949606,
      0.677282729159795,
      0.535327424036571,
      0.730568680992701,
      0.505455771513585,
      0.581257400896629,
      0.776105470664866,
      0.701479832949079,
      0.690296294796876,
      0.682091106564026,
      0.783103008864789,
      0.694759337246404,
      0.710439783873129,
      0.566420465832347,
      0.767363975580679,
      0.631708770747934,
      0.606145151890395,
      0.745424520949381,
      0.765397648994148,
      0.688727541688003,
      0.838144436827099,
      0.837601187302602,
      0.768311135589406,
      0.773358299124925,
      0.572656714433975,
      0.757548360599046,
      0.449013543154251,
      0.607641929780746,
      0.693538841315811,
      0.761101828328094,
      0.538129176370398,
      0.788731666673596,
      0.797765019711008,
      0.672712865901557,
      0.522428021207148,
      0.529578415325302,
      0.625684161174258,
      0.609928405387907,
      0.640411429364149,
      0.446346121599215,
      0.43409444788493,
      0.527226817409499,
      0.543394726727072,
      0.559273246882329,
      0.46642794442065,
      0.550287465775648,
      0.595015840441302,
      0.500703197435383,
      0.577769427896099,
      0.624622415371721,
      0.521175399862853,
      0.382243461162547,
      0.585801617754291,
      0.511134061160515,
      0.607337269898437,
      0.542542392348028,
      0.656415145871901,
      0.616862886769101,
      0.538977257209266,
      0.733638668649189,
      0.470587328288713,
      0.389514952266303,
      0.52057241113886,
      0.404258265190885
    ],
    "mid_energy_curve": [
      0,
      0.314253927738331,
      0.424656688736322,
      0.405822727723637,
      0.39538985270388,
      0.410529810044271,
      0.360982639157519,
      0.424983961863693,
      0.321695468158278,
      0.408842980308599,
      0.325634198980632,
      0.34433663694706,
      0.666554242423688,
      0.642955647870465,
      0.406069353209702,
      0.658173974848955,
      0.676267774653044,
      0.284981143586405,
      0.662250841254652,
      0.677809350045351,
      0.660536643841566,
      0.333168188364054,
      0.726548873878506,
      0.805969557346165,
      0.769069765346542,
      0.860591454959975,
      0.886813549872982,
      0.716691004834855,
      0.764593995268195,
      0.881820293399499,
      0.776992344110317,
      0.96678101738813,
      0.997278544653024,
      0.89293663265915,
      0.809087131290349,
      0.694291652414258,
      0.823277192932455,
      0.904290896698174,
      0.794531766522894,
      0.645131140932921,
      0.801034263398721,
      0.762483551852866,
      0.971619116532086,
      0.92949814118257,
      0.842362493632285,
      0.770040194712621,
      0.85436067324442,
      0.716336648780471,
      0.871868330167836,
      0.853622536927563,
      0.763753981585702,
      0.885591464430422,
      0.805605899445353,
      0.85388109029153,
      0.97179888895182,
      0.891112711424938,
      0.802945887756394,
      0.856830724777082,
      0.701744519572372,
      0.954893131097923,
      0.838862784650167,
      0.671447899534742,
      0.810105335445904,
      0.701942579295627,
      0.879037649204575,
      0.934925990045609,
      0.896161399309786,
      0.790920245550044,
      0.901584059387743,
      0.754713219636743,
      0.819806655046957,
      0.880161084452709,
      0.721630981344447,
      0.886280876789801,
      0.664762592901572,
      0.795201942410749,
      0.904684927975077,
      0.999999999150699,
      0.856373099243991,
      0.823211447228793,
      0.770673795993435,
      0.932386016470072,
      0.840666267133385,
      0.656241152405887,
      0.657825377080454,
      0.793618856737785,
      0.704198498526854,
      0.946199384970793,
      0.982971798624439,
      0.899783740797867,
      0.879926070455212,
      0.770289382952294,
      0.818948543894544,
      0.899972878341895,
      0.724486395086253,
      0.735323299285875,
      0.816972565946281,
      0.731937174074761,
      0.940393957076234,
      0.977239076998895,
      0.897124172053976,
      0.825600819481216,
      0.740405904107356,
      0.870371935172462,
      0.905717496206408,
      0.713803002991619,
      0.686345091338945,
      0.635962937360116,
      0.677826181957934,
      0.726660749147105,
      0.740358066040014,
      0.755239754766838,
      0.787713070146394,
      0.7679547460547,
      0.69525860149766,
      0.966225374439282,
      0.794670914552106,
      0.810759881700646,
      0.794989708445319,
      0.68614102021834,
      0.889662635828102,
      0.821249200577637,
      0.714405408284073,
      0.65036466346685,
      0.776374182629016,
      0.67174043311321,
      0.908153567524569,
      0.792080192127353,
      0.740470067864347,
      0.585638619351592,
      0.703185230044914,
      0.771917712300059,
      0.625771277568809,
      0.670656103586792,
      0.652998035173863,
      0.812590067443677,
      0.722352032637253,
      0.824309381496584,
      0.952600953648988,
      0.768866073893138,
      0.84894952973823,
      0.582305204603568,
      0.889483749298505,
      0.781669464360995,
      0.80635650150198,
      0.670962052073034,
      0.791649080020473,
      0.692814747001876,
      0.785347616927642,
      0.880161084452709,
      0.798232192898674,
      0.585112590444432,
      0.700419101373239,
      0.694919685242788,
      0.672920438774311,
      0.636078862412194,
      0.673618203812115,
      0.815393656612529,
      0.78332493991364,
      0.869977524228359,
      0.937823167179539,
      0.759299852537819,
      0.735363923676396,
      0.820837135108681,
      0.782808845631576,
      0.986688424134134,
      0.990407201091302,
      0.908640807099348,
      0.844208119174828,
      0.842190314556574,
      0.85603557510219,
      0.912894155475702,
      0.745979481897761,
      0.637802488227441,
      0.766247445929101,
      0.702375779572112,
      0.978125283524191,
      0.932197321871113,
      0.816365098424478,
      0.79461934309062,
      0.788242262946898,
      0.729440988783087,
      0.938795115214423,
      0.855573583396286,
      0.777257478372437,
      0.824412271308089,
      0.778905107469592,
      0.941598641105408,
      0.961425115459705,
      0.89241180603146,
      0.836604144470665,
      0.937816586281386,
      0.803118319943572,
      0.915623772818202,
      0.836053690306899,
      0.695816459171849,
      0.802858437744401,
      0.609962125147499,
      0.85686919772013,
      0.943424713787094,
      0.812951067674081,
      0.844433451658697,
      0.902342191510526,
      0.748024369443029,
      0.848483994471782,
      0.866022341160623,
      0.691887156751657,
      0.88820945961579,
      0.779784733096736,
      0.863909809575688,
      0.895993080183953,
      0.924430343381933,
      0.835337258298373,
      0.80387714812289,
      0.829186396528655,
      0.964112526465012,
      0.854139643655497,
      0.690139422069137,
      0.685230957937239,
      0.773962283455992,
      0.73356923681667,
      0.946091116540605,
      0.973355461198572,
      0.859164159395206,
      0.868187203541446,
      0.816758117255511,
      0.836524351080562,
      0.858203981043557,
      0.701691366164215,
      0.73929601032273,
      0.925708935959593,
      0.776840224118399,
      0.931898966728894,
      0.964219782449331,
      0.866624430063743,
      0.818442257681842,
      0.740682048718309,
      0.873534942625048,
      0.98315967061113,
      0.694353411612308,
      0.611572357025344,
      0.695753750805796,
      0.759539295985996,
      0.711927889963122,
      0.804249854758663,
      0.738329377628661,
      0.806113387937526,
      0.71098568252566,
      0.712338816430475,
      0.931969268438969,
      0.767918867504194,
      0.827445242744289,
      0.786238695848686,
      0.72355323638375,
      0.869205977197803,
      0.821080122117402,
      0.696674760157862,
      0.654854734343106,
      0.776061906356089,
      0.664004524056656,
      0.94758105719356,
      0.747485305295296,
      0.746997749331182,
      0.767640191778567,
      0.504328806807927,
      0.892507418888277,
      0.773441696445381,
      0.643667713706178,
      0.662514646681568,
      0.821061518424547,
      0.719869641920554,
      0.826057938791372,
      0.93198534101715,
      0.767325321113099,
      0.840218070002456,
      0.570929046422612,
      0.935436262763923,
      0.776454229130587,
      0.754920328094957,
      0.643794079606287,
      0.782417661858682,
      0.68315190034387,
      0.787431546916759,
      0.919693741936412,
      0.739289872369645,
      0.572131389170713,
      0.712702980554222,
      0.680230424509068,
      0.662505344835141,
      0.636113981628298,
      0.682423508818509,
      0.663581068571666,
      0.751487060873037,
      0.601165742320332,
      0.698748945355484,
      0.682220197032306,
      0.779978806314378,
      0.734208849494835,
      0.764816227136587,
      0.683609525876962,
      0.733906064901936,
      0.716614565171695,
      0.83692793731536,
      0.636862622071053,
      0.800959595515833,
      0.852840422493242,
      0.707655178559511,
      0.655794853610962,
      0.814217890568507,
      0.769425703347598,
      0.698765587434466,
      0.868438353394992,
      0.840996071375431,
      0.895097318700762,
      0.814758663218645,
      0.806929039641279,
      0.761283993330906,
      0.724726724424566,
      0.67267163020184,
      0.792038049068027,
      0.646285139390745,
      0.906688684906889,
      0.849552567809353,
      0.736143443718175,
      0.694142253370615,
      0.739642140254423,
      0.630296341105436,
      0.881758660757183,
      0.742735035830534,
      0.564811152421526,
      0.731695326067643,
      0.569268571918485,
      0.762978701161002,
      0.870247341052626,
      0.769434182581757,
      0.769255359330026,
      0.798348117950751,
      0.704527353600896,
      0.826886435902097,
      0.876110098694555,
      0.743399137043171,
      0.827203394737171,
      0.56552480020391,
      0.918623460096436,
      0.778266823626632,
      0.703886348809661,
      0.621652837604588,
      0.752783054864082,
      0.664660462424469,
      0.775587512188282,
      0.894995631168727,
      0.70703600463234,
      0.708683000950827,
      0.549047370230751,
      0.7003945495609,
      0.761111054920793,
      0.757305650563902,
      0.665611718596891,
      0.771809000924803,
      0.736777677777657,
      0.773543130865949,
      0.814121644933021,
      0.861022567066854,
      0.657366675823626,
      0.733657889108133,
      0.759238662840571,
      0.806524694072079,
      0.82615133692285,
      0.657462731625511,
      0.774129716691689,
      0.618858929949365,
      0.807495882772561,
      0.747977860210891,
      0.878233577350456,
      0.569146255801856,
      0.599656818307321,
      0.720714338165193,
      0.651346925794031,
      0.615819124503545,
      0.644447866526626,
      0.583957389707137,
      0.361027091858985,
      0.411236782011702,
      0.323181517222421,
      0.344800906656171,
      0.407181176969268,
      0.369326521958811,
      0.43493494428842,
      0.318125489105019,
      0.358462534832175,
      0.419619359228575,
      0.315873904407671,
      0.318854291936515,
      0.436043161209575,
      0.348482887533763,
      0.29623008161605,
      0.425745162963018,
      0.330728731680016,
      0.384057514445721,
      0.369141054531061,
      0.374609179756352,
      0.461812028401237,
      0.323542707286426,
      0.0777024995489614,
      0.00656181196627042,
      0.00197972184752221,
      0.00131098145268165,
      0.000219385646626229
    ],
    "side_energy_curve": [
      0,
      0.512447929583173,
      0.639210059102766,
      0.640021900521873,
      0.57580147623017,
      0.596242752535566,
      0.563298090728556,
      0.59518043158626,
      0.547889089391217,
      0.636557625129201,
      0.554566132998996,
      0.606709112591769,
      0.460964014501101,
      0.569406502793839,
      0.538700665926103,
      0.466737223220013,
      0.528434925472343,
      0.5738255006505,
      0.47379548593955,
      0.549356455646764,
      0.671861232434261,
      0.486720016556138,
      0.416169056124051,
      0.498889759212937,
      0.537202203822482,
      0.550241526455949,
      0.554218103091058,
      0.685282459277729,
      0.572427481561648,
      0.57489600471772,
      0.585023926241401,
      0.448588437883002,
      0.473004121345735,
      0.594272371924889,
      0.516193742293104,
      0.568157264206969,
      0.660892352816104,
      0.530701116280363,
      0.596642849910046,
      0.636110788830077,
      0.537559482556713,
      0.658541019520765,
      0.510912662479445,
      0.49581267851115,
      0.562213884696457,
      0.538768757079351,
      0.561645862130177,
      0.632783685330253,
      0.578693618467098,
      0.608627996651108,
      0.622171741897206,
      0.543092145669965,
      0.582881966581622,
      0.538283479156538,
      0.452300185985802,
      0.555195738285207,
      0.50084894988563,
      0.525778152543233,
      0.684304138985337,
      0.4977346835736,
      0.581439682534006,
      0.62031714288976,
      0.576260187565523,
      0.590905418543874,
      0.595252975878094,
      0.552547985816308,
      0.503566924924535,
      0.558645550492728,
      0.528454793321419,
      0.582337351538677,
      0.572656608863243,
      0.543912398573067,
      0.665840056212044,
      0.576918605038993,
      0.543716955268467,
      0.540376720718967,
      0.487158555554307,
      0.461822100051676,
      0.607203220669727,
      0.530271940291528,
      0.650146739103456,
      0.549418799586966,
      0.548864250619484,
      0.666579581705398,
      0.601445160234209,
      0.531911913243543,
      0.69423996657361,
      0.529016954491611,
      0.501568873957004,
      0.610481720255242,
      0.586903645517792,
      0.570092895112272,
      0.560772095442018,
      0.532859099626848,
      0.648430568002306,
      0.540396588568043,
      0.512600820674619,
      0.579996142472943,
      0.453316871779857,
      0.489314559728088,
      0.568808602331919,
      0.530799998793576,
      0.590614784644376,
      0.593375844750624,
      0.525905047962422,
      0.607756513623762,
      0.64505310978155,
      0.635571388145989,
      0.712060133119596,
      0.66705884598807,
      0.641534369078482,
      0.637690282831555,
      0.577996645186897,
      0.863758316279233,
      0.849800276900599,
      0.929205294793728,
      0.746557570096569,
      0.75876213858077,
      0.566802939161677,
      0.636721477792551,
      0.550327506285568,
      0.753107033186915,
      0.839376659362618,
      0.767857959599906,
      0.832210912340805,
      0.913677923704235,
      0.9601403731461,
      0.718908070678233,
      0.765177703025433,
      0.691499269109613,
      0.5845052688097,
      0.630213006413802,
      0.888012164312335,
      0.864200509134704,
      0.784569028210929,
      0.762763645179757,
      0.854790913119828,
      0.950519614628026,
      0.768919252901846,
      0.748691727248569,
      0.66858631058402,
      0.584515849771468,
      0.566424955236072,
      0.833614526398649,
      0.744959997113653,
      0.839016906662505,
      0.729018141586557,
      0.952125180423788,
      0.935203482163758,
      0.797193333552603,
      0.764605417625635,
      0.770149993836129,
      0.47634302375976,
      0.652448060226985,
      0.832556886954011,
      0.862964059048388,
      0.844020559748369,
      0.607889308500052,
      0.53563176834223,
      0.642443494448233,
      0.540056817900046,
      0.658712065715677,
      0.543300453597146,
      0.537014106293498,
      0.588465441147967,
      0.422800540698606,
      0.494935181843662,
      0.574173264131343,
      0.612558976191979,
      0.62020501514383,
      0.693151193219884,
      0.509840864337764,
      0.56483309140519,
      0.639949127863958,
      0.554255973799544,
      0.671618859899949,
      0.499989303833499,
      0.504827543754457,
      0.564315537742882,
      0.51326738320499,
      0.50631767049611,
      0.601725784087143,
      0.583163313593813,
      0.588312702300575,
      0.571813176802886,
      0.526614543316082,
      0.598404884532529,
      0.512857846699149,
      0.489185380648085,
      0.562767786626708,
      0.592556353067793,
      0.573954603608475,
      0.705289459418474,
      0.454462774714927,
      0.548212874433521,
      0.616237725396028,
      0.568952168475045,
      0.632207669951127,
      0.595690563350925,
      0.491061255762108,
      0.552840218278376,
      0.520356817894628,
      0.483369353288925,
      0.576535026144396,
      0.54435451530651,
      0.545119884228068,
      0.667396675544376,
      0.556145512817433,
      0.581159287047154,
      0.583865577354898,
      0.478272222353772,
      0.449356394953481,
      0.605749518318045,
      0.51245272527088,
      0.672112663489799,
      0.574273440719017,
      0.554825518806367,
      0.678531577303655,
      0.624827601361991,
      0.565181083252114,
      0.654493839705513,
      0.47459012378053,
      0.477724943039879,
      0.577207640375923,
      0.520753756204982,
      0.519142214830092,
      0.583130276634048,
      0.55027441117166,
      0.729271399570746,
      0.574943390679595,
      0.585336254918625,
      0.56998107185445,
      0.434471265406699,
      0.463460017708959,
      0.554516082766173,
      0.547477116980508,
      0.605046188848581,
      0.629694729592237,
      0.546513450178334,
      0.623925631462789,
      0.629431651866552,
      0.62115364784565,
      0.645048237971815,
      0.612255782158008,
      0.590335302621849,
      0.619982434336566,
      0.635920826311429,
      0.868444997244219,
      0.910903351938175,
      0.826323634764271,
      0.74737641474217,
      0.757313840893013,
      0.560122241696597,
      0.668222447294443,
      0.572635941732883,
      0.753706341906337,
      0.840856243203516,
      0.760236317757744,
      0.847792253947517,
      0.895591862917561,
      0.967186913073461,
      0.708017672870025,
      0.755771760867859,
      0.663656039132288,
      0.649398535699011,
      0.609596877812139,
      0.808092485393929,
      0.866065346554796,
      0.789131706393756,
      0.784147159936696,
      0.840442596108211,
      0.940558742892834,
      0.764362436115106,
      0.740139417502984,
      0.659120612635165,
      0.592515437478222,
      0.529062285158754,
      0.777517235863697,
      0.755765747227717,
      0.854502258393034,
      0.743341186085174,
      0.948679060134581,
      0.936739396304717,
      0.806460200766651,
      0.737351828870288,
      0.770871554531086,
      0.524571770657625,
      0.624823034040365,
      0.844647120153495,
      0.865781792003818,
      0.845222298190323,
      0.676250580761363,
      0.486674723950009,
      0.621146720741183,
      0.39727747204652,
      0.476572607793518,
      0.382290795715575,
      0.468818589746214,
      0.389456542737388,
      0.418896127745196,
      0.431312315464757,
      0.431155275722833,
      0.41053701570441,
      0.438545240175493,
      0.456347556106122,
      0.450005030746469,
      0.534048734666492,
      0.44408524906436,
      0.378884144697424,
      0.527098412981394,
      0.5704116941618,
      0.365603324932956,
      0.349228373132629,
      0.404688560361702,
      0.739418770272352,
      0.851187448600589,
      0.86944836168353,
      0.887951038324567,
      0.738697437943477,
      0.71389360826452,
      0.877403418004426,
      0.633841629263,
      0.596800803116295,
      0.824219926423114,
      0.579398280072037,
      0.873508253877309,
      0.999999997956615,
      0.787635451828921,
      0.924545865514446,
      0.869773631105363,
      0.723220916368092,
      0.966370580454755,
      0.770976755172549,
      0.649730884469365,
      0.781501158274422,
      0.538267683835913,
      0.748947497259652,
      0.837629202108326,
      0.91071266626027,
      0.703667222898775,
      0.720313663908783,
      0.62971136225516,
      0.600197710514977,
      0.570669938138764,
      0.76747460907139,
      0.742916881906074,
      0.823160992904014,
      0.719698293441642,
      0.917077228946771,
      0.960793652382741,
      0.767359284200322,
      0.712546020018627,
      0.729801589489553,
      0.574739954562149,
      0.590663578863752,
      0.777198208448087,
      0.753201957354719,
      0.845836450705031,
      0.677269930826367,
      0.842226515813488,
      0.921953758247364,
      0.74946162543074,
      0.755625834941893,
      0.6791028731171,
      0.531642517389607,
      0.543111747091945,
      0.702418517166095,
      0.71283520759961,
      0.825043795122504,
      0.693443045071817,
      0.918151158505211,
      0.959881786620014,
      0.765557704184756,
      0.779845580306849,
      0.752821423341206,
      0.496762529165404,
      0.58320472397656,
      0.695769714830373,
      0.830233794930728,
      0.859879822876053,
      0.674720451894465,
      0.460198912006638,
      0.471901151233953,
      0.509958815418768,
      0.562117666454192,
      0.549972130602014,
      0.560036946965222,
      0.571459856414064,
      0.498745051239405,
      0.509731781472918,
      0.52390741566604,
      0.494960187929567,
      0.423335792732216,
      0.515304142223306,
      0.486667035625271,
      0.496798458762199,
      0.532102522799421,
      0.513195485950387,
      0.483306095884398,
      0.501212470626084,
      0.497260100795595,
      0.562009382870631,
      0.446194552374509,
      0.0839093485421776,
      0.0104882724953499,
      0.00317880976252207,
      0.00178753074393725,
      0.000351703353280181
    ],
    "stereo_width_curve": [
      0,
      0.40396973513508,
      0.384853629426362,
      0.39595137661736,
      0.377057024697933,
      0.376425075683936,
      0.393417310200971,
      0.367923343657451,
      0.414478520635684,
      0.39288400214126,
      0.414464900069649,
      0.422743874387078,
      0.223263100915061,
      0.269053428055515,
      0.355416703624399,
      0.227645837282155,
      0.24515556972544,
      0.455605487753935,
      0.229202840203812,
      0.251982302172112,
      0.29714089692844,
      0.37779741367587,
      0.192295436361309,
      0.20462900395978,
      0.225001092592244,
      0.209952490785163,
      0.206193333007505,
      0.284395262805224,
      0.237323792630596,
      0.213199166350338,
      0.238353623327259,
      0.161675311633452,
      0.16467111864411,
      0.216678740620664,
      0.209594119512934,
      0.253800757130596,
      0.250180243444009,
      0.196091929598611,
      0.237871690113075,
      0.290691061296399,
      0.218093117089253,
      0.264151128110476,
      0.179356336776499,
      0.181473541306105,
      0.217162822316575,
      0.225289093471262,
      0.21459766483092,
      0.268554106637552,
      0.21622296339092,
      0.228600386171524,
      0.252942720892981,
      0.203116954483476,
      0.231197959962665,
      0.207616008415208,
      0.162090940934301,
      0.205690687068805,
      0.205881488121433,
      0.20321663380621,
      0.288410542597141,
      0.178069561314321,
      0.223655551222515,
      0.277448213237967,
      0.22819097568345,
      0.259197281327539,
      0.219635719288501,
      0.197201716853,
      0.18933251624218,
      0.226946985658036,
      0.195895913186809,
      0.242827983759125,
      0.225005425027587,
      0.204359625641423,
      0.277195919528116,
      0.212942024817441,
      0.253704693927651,
      0.220238198100711,
      0.182881409339015,
      0.161038038473315,
      0.227621271044586,
      0.211189153278735,
      0.259606199309633,
      0.19673371482311,
      0.213443424018587,
      0.296855268715925,
      0.275368431331338,
      0.217878137510328,
      0.290657715441468,
      0.188561853812071,
      0.174972379167703,
      0.219967575662965,
      0.217052484592192,
      0.235247124881318,
      0.22155009429362,
      0.197489926017391,
      0.271137843009015,
      0.233982943792676,
      0.206843622080537,
      0.247754858964092,
      0.166914196640272,
      0.172262726006585,
      0.208564585447443,
      0.210872315516084,
      0.248994195919594,
      0.220794591854352,
      0.194417767055415,
      0.261385090032379,
      0.280900920952357,
      0.293475211576642,
      0.303924722831719,
      0.276171847534912,
      0.264789744834572,
      0.259776257960558,
      0.23370365704045,
      0.318562240502225,
      0.33687942657276,
      0.285566161094759,
      0.280818624162801,
      0.280046123342988,
      0.228594106290609,
      0.278342134984541,
      0.204520314329663,
      0.275964442637083,
      0.328111195280018,
      0.329184070008592,
      0.308210670069051,
      0.361157655832742,
      0.305279207222285,
      0.273909204648809,
      0.300456214310984,
      0.329203423985141,
      0.25677401183297,
      0.253360456223521,
      0.3709954404901,
      0.348781193597749,
      0.333057474339148,
      0.280652401806531,
      0.329686138139704,
      0.323991938836354,
      0.251211873282354,
      0.288118682906028,
      0.246608402364951,
      0.294389417814082,
      0.209284133289217,
      0.307121736013028,
      0.27745024289822,
      0.341991725326684,
      0.276804353753241,
      0.363543904342078,
      0.33107842367993,
      0.273496007211481,
      0.284756450573059,
      0.353619185523718,
      0.220373713804907,
      0.280695567998215,
      0.339600552796054,
      0.360568222684273,
      0.342440828795095,
      0.236560941980543,
      0.22130977051318,
      0.234847687185153,
      0.193124192111736,
      0.265015812767674,
      0.234934937803207,
      0.213786657430538,
      0.238064624450851,
      0.151176529124967,
      0.171982921054473,
      0.208009128442451,
      0.231706014147921,
      0.234350764114364,
      0.251804177148813,
      0.18839536823148,
      0.239373550918827,
      0.294300280644552,
      0.23115022627062,
      0.284402617273352,
      0.175230703035187,
      0.183730152321568,
      0.223185666048038,
      0.211648779262137,
      0.210720075727478,
      0.255322102086859,
      0.205204268059959,
      0.222274119726007,
      0.234170767258892,
      0.209796729301485,
      0.242032062882588,
      0.184593650980582,
      0.174563408437247,
      0.207672936041758,
      0.227434541355581,
      0.202789004647098,
      0.267402192807318,
      0.171016701617076,
      0.21416865118429,
      0.269058942411303,
      0.22752644893745,
      0.301086755222406,
      0.224172705306828,
      0.177862492042732,
      0.220363189411789,
      0.203899143111735,
      0.18210329194781,
      0.242623670021659,
      0.210519018678449,
      0.207369619860456,
      0.28618455881139,
      0.206504304149458,
      0.236504091126198,
      0.219300592583979,
      0.181576651402767,
      0.168077987568551,
      0.231596523262715,
      0.209459376033449,
      0.25200106598811,
      0.198443411053121,
      0.212588894481016,
      0.290097232724447,
      0.274834777598673,
      0.232843154430273,
      0.270515434678444,
      0.172525021873668,
      0.169431252820292,
      0.218281841464182,
      0.199554780235702,
      0.208975095568203,
      0.224645933520696,
      0.210423598053882,
      0.301661809322787,
      0.244276266682504,
      0.208115451992069,
      0.233691889563623,
      0.162323077850559,
      0.166512492172626,
      0.210077367109917,
      0.217544874682856,
      0.253465163698245,
      0.230540418669251,
      0.187679101351576,
      0.271920771576887,
      0.299607995937652,
      0.270642240770584,
      0.26089225564606,
      0.263321523424243,
      0.233765722313483,
      0.258716911259902,
      0.246921391228638,
      0.33673076924778,
      0.347042202845544,
      0.269283157029607,
      0.288010881259105,
      0.27557579683541,
      0.228455197555267,
      0.277378566031056,
      0.214960590943483,
      0.276164568510404,
      0.33406706414497,
      0.325472748068008,
      0.312266179252157,
      0.359219485616086,
      0.29786821566283,
      0.282479642810657,
      0.296030615797696,
      0.264344966661974,
      0.348615367271086,
      0.221114017891048,
      0.302773986206646,
      0.358663076578585,
      0.331134430143521,
      0.284153622364263,
      0.326712746438204,
      0.321226709675047,
      0.254221205699132,
      0.286177613369947,
      0.245880691605948,
      0.301358477980497,
      0.190331735750531,
      0.293886754528202,
      0.293835113505774,
      0.355532204511836,
      0.283090537430257,
      0.365958162888657,
      0.330854999958022,
      0.267109930689833,
      0.29305880957009,
      0.358979502302353,
      0.234256292933951,
      0.276295467499711,
      0.346364326159641,
      0.361307412609618,
      0.339841635948109,
      0.297540670649819,
      0.212084302843043,
      0.300429681136035,
      0.191142150189131,
      0.225014124624949,
      0.16923841042787,
      0.209734441326938,
      0.174677538876073,
      0.20298957385958,
      0.196313274332855,
      0.200044049046243,
      0.169352789998973,
      0.222520121505102,
      0.191467152336173,
      0.179864920442077,
      0.238772857026988,
      0.219637394359715,
      0.162064492678226,
      0.221627636637586,
      0.253334564607365,
      0.14891999655277,
      0.147190295397663,
      0.158189146247601,
      0.273889640651389,
      0.304798124477154,
      0.321890627402531,
      0.337416774286502,
      0.313389980236641,
      0.272529867408032,
      0.360724001751341,
      0.225141861089977,
      0.225993214425599,
      0.317575385384053,
      0.257570195553224,
      0.329245806505886,
      0.397382336796206,
      0.270747719331185,
      0.340967441184635,
      0.390262799263195,
      0.291192645216835,
      0.413684560142044,
      0.295770364311593,
      0.236824535900193,
      0.296840660198504,
      0.225304673896096,
      0.280531828900627,
      0.330726537695701,
      0.314020566857984,
      0.250277008049603,
      0.287103068983344,
      0.240354257348969,
      0.306093997352241,
      0.205214816879874,
      0.290715153328476,
      0.30491905095509,
      0.354989303920876,
      0.284368541759828,
      0.364465638903593,
      0.339884178386586,
      0.262732775432479,
      0.295215531673017,
      0.29972980002351,
      0.303176653852749,
      0.259542755223901,
      0.297959586766579,
      0.292477273928145,
      0.345624206848809,
      0.2672507024501,
      0.322089365945798,
      0.331272445017129,
      0.276737280376957,
      0.267268878355591,
      0.300394795620406,
      0.231471522347136,
      0.229179442490202,
      0.265777162706674,
      0.26396193172241,
      0.342786561183191,
      0.271303424416936,
      0.381434356568926,
      0.330687541220254,
      0.29844408128416,
      0.269577757735542,
      0.354742191300289,
      0.256127427960171,
      0.251683472565152,
      0.30747023837925,
      0.359117801273687,
      0.356737989828291,
      0.324431793676334,
      0.346322558351464,
      0.322927861494116,
      0.396078114030423,
      0.40390864444565,
      0.359544917758265,
      0.386599778264848,
      0.353211694190695,
      0.394532319848789,
      0.371476287566153,
      0.341642714707826,
      0.394409331985797,
      0.355598939551972,
      0.329392674316284,
      0.367267289170459,
      0.41074141152649,
      0.34187403081848,
      0.392076779992476,
      0.34341977181195,
      0.360752870185156,
      0.355552760406526,
      0.335906826946206,
      0.364351820898013,
      0.309790343354547,
      0.399161898614188,
      0.400255848943014,
      0.361723665588339,
      0.399872553882347
    ],
    "phase_coherence_curve": [
      1,
      0.345987170934677,
      0.235657200217247,
      0.245419293642044,
      0.371953248977661,
      0.234953179955482,
      0.343848824501038,
      0.325507372617722,
      0.320566415786743,
      0.520013928413391,
      0.486116081476212,
      0.218895241618156,
      0.246845722198486,
      0.487819164991379,
      0.60220605134964,
      0.336069703102112,
      0.325190305709839,
      0.251765817403793,
      0.334491670131683,
      0.23973174393177,
      0.343736916780472,
      0.36557736992836,
      0.886482298374176,
      0.850020289421082,
      0.757756233215332,
      0.801495313644409,
      0.723500430583954,
      0.747888147830963,
      0.735540270805359,
      0.740025460720062,
      0.787611186504364,
      0.813517272472382,
      0.760953783988953,
      0.782854020595551,
      0.792979836463928,
      0.617539465427399,
      0.780986726284027,
      0.693382799625397,
      0.702098548412323,
      0.799096345901489,
      0.742619335651398,
      0.7310751080513,
      0.780933678150177,
      0.726153314113617,
      0.774619102478027,
      0.794119954109192,
      0.722596347332001,
      0.770253360271454,
      0.715369582176208,
      0.730767965316772,
      0.725365579128265,
      0.807098031044006,
      0.779608905315399,
      0.795419573783875,
      0.699864864349365,
      0.774656295776367,
      0.80409699678421,
      0.67420095205307,
      0.791060030460358,
      0.683377981185913,
      0.642250835895538,
      0.769039869308472,
      0.83329576253891,
      0.696070194244385,
      0.797456920146942,
      0.701296746730804,
      0.796427607536316,
      0.732208669185638,
      0.76360148191452,
      0.794262766838074,
      0.783427655696869,
      0.695843040943146,
      0.805172622203827,
      0.805911600589752,
      0.763108313083649,
      0.813804924488068,
      0.677216231822968,
      0.800364077091217,
      0.782138526439667,
      0.835578322410583,
      0.712375462055206,
      0.808359384536743,
      0.725420832633972,
      0.774216055870056,
      0.816993057727814,
      0.723422110080719,
      0.77596241235733,
      0.672992765903473,
      0.784749865531921,
      0.746348679065704,
      0.78002542257309,
      0.747680068016052,
      0.805352509021759,
      0.808987617492676,
      0.767981946468353,
      0.847802400588989,
      0.736459672451019,
      0.792754828929901,
      0.793860256671906,
      0.746360540390015,
      0.765430331230164,
      0.845691800117493,
      0.719921827316284,
      0.763317406177521,
      0.73224538564682,
      0.7981236577034,
      0.772946238517761,
      0.7055384516716,
      0.749088823795319,
      0.749680161476135,
      0.694488942623138,
      0.760802149772644,
      0.743263065814972,
      0.425820052623749,
      0.663250684738159,
      0.571339249610901,
      0.532118797302246,
      0.656450152397156,
      0.753225982189178,
      0.730096042156219,
      0.825804173946381,
      0.604426205158234,
      0.6469367146492,
      0.668289959430695,
      0.493007451295853,
      0.667040824890137,
      0.573756396770477,
      0.50059574842453,
      0.58491051197052,
      0.770584225654602,
      0.557087481021881,
      0.863885402679443,
      0.645390868186951,
      0.605598926544189,
      0.616309821605682,
      0.458400011062622,
      0.666601419448853,
      0.589257836341858,
      0.571659684181213,
      0.630010664463043,
      0.682442486286163,
      0.70773047208786,
      0.869307041168213,
      0.629977405071259,
      0.586033165454865,
      0.687371253967285,
      0.602716386318207,
      0.630619764328003,
      0.595528066158295,
      0.532790184020996,
      0.616973340511322,
      0.666772603988647,
      0.81436562538147,
      0.8458251953125,
      0.742209315299988,
      0.55793035030365,
      0.609188199043274,
      0.619475066661835,
      0.729349315166473,
      0.755099773406982,
      0.62600713968277,
      0.738135159015656,
      0.818311750888824,
      0.76203453540802,
      0.795785188674927,
      0.697400510311127,
      0.707102417945862,
      0.723698973655701,
      0.814913630485535,
      0.646501898765564,
      0.816792905330658,
      0.734291911125183,
      0.778950750827789,
      0.790932655334473,
      0.777011573314667,
      0.764099776744843,
      0.790784657001495,
      0.692405700683594,
      0.785634517669678,
      0.79770439863205,
      0.740382373332977,
      0.790048182010651,
      0.708211362361908,
      0.676568746566772,
      0.79204535484314,
      0.803963303565979,
      0.727287590503693,
      0.724342465400696,
      0.699743270874023,
      0.723807811737061,
      0.788069784641266,
      0.627528011798859,
      0.781607866287231,
      0.720710217952728,
      0.645485103130341,
      0.790481984615326,
      0.801411271095276,
      0.708616435527802,
      0.762069880962372,
      0.699567377567291,
      0.750701248645782,
      0.733694136142731,
      0.681285679340363,
      0.797250509262085,
      0.806650102138519,
      0.730890691280365,
      0.781175553798676,
      0.848938941955566,
      0.685668408870697,
      0.77856433391571,
      0.766893327236176,
      0.812861382961273,
      0.734182238578796,
      0.735736548900604,
      0.740355551242828,
      0.828862190246582,
      0.658323585987091,
      0.787575006484985,
      0.758265793323517,
      0.722666144371033,
      0.751701235771179,
      0.677413642406464,
      0.742869138717651,
      0.8198561668396,
      0.841504871845245,
      0.77884316444397,
      0.76500928401947,
      0.74919980764389,
      0.751665651798248,
      0.827361464500427,
      0.74163156747818,
      0.786368310451508,
      0.754491746425629,
      0.779856026172638,
      0.737927138805389,
      0.770653247833252,
      0.686530113220215,
      0.744728028774261,
      0.638336181640625,
      0.743050456047058,
      0.753289878368378,
      0.67442375421524,
      0.759861648082733,
      0.758612811565399,
      0.658567547798157,
      0.750923931598663,
      0.648190319538116,
      0.529759585857391,
      0.634021937847137,
      0.599026381969452,
      0.536933064460754,
      0.654986977577209,
      0.77701324224472,
      0.711492240428925,
      0.814891815185547,
      0.574784934520721,
      0.630776047706604,
      0.650388777256012,
      0.447243511676788,
      0.655364751815796,
      0.546362817287445,
      0.544968962669373,
      0.670984625816345,
      0.761784195899963,
      0.594863772392273,
      0.840388834476471,
      0.595681011676788,
      0.645829677581787,
      0.623753428459167,
      0.498209416866302,
      0.633815288543701,
      0.579372525215149,
      0.556394219398499,
      0.650006294250488,
      0.711430728435516,
      0.656309127807617,
      0.870490312576294,
      0.615127444267273,
      0.611076593399048,
      0.633784353733063,
      0.589951395988464,
      0.573924839496613,
      0.590353906154633,
      0.530339002609253,
      0.639335691928864,
      0.658966422080994,
      0.788425922393799,
      0.795178592205048,
      0.710395932197571,
      0.605844676494598,
      0.686110138893127,
      0.691103935241699,
      0.689833641052246,
      0.598934531211853,
      0.84342223405838,
      0.881987929344177,
      0.81421023607254,
      0.782999217510223,
      0.862457692623138,
      0.862579643726349,
      0.872582972049713,
      0.729964733123779,
      0.685754895210266,
      0.791895508766174,
      0.809371650218964,
      0.829020440578461,
      0.807406544685364,
      0.786915898323059,
      0.844274163246155,
      0.81212592124939,
      0.755845606327057,
      0.85468465089798,
      0.875730752944946,
      0.80451899766922,
      0.569976508617401,
      0.727011442184448,
      0.462184339761734,
      0.413996368646622,
      0.663499176502228,
      0.31330469250679,
      0.566626667976379,
      0.473695755004883,
      0.471160233020782,
      0.67429107427597,
      0.402814209461212,
      0.435729295015335,
      0.626252770423889,
      0.404850542545319,
      0.433517724275589,
      0.63831353187561,
      0.361490249633789,
      0.493476241827011,
      0.588471472263336,
      0.448303133249283,
      0.663119077682495,
      0.566190123558044,
      0.535714328289032,
      0.641113758087158,
      0.572766482830048,
      0.516498148441315,
      0.629739463329315,
      0.736859858036041,
      0.534107267856598,
      0.819960355758667,
      0.609350562095642,
      0.633412957191467,
      0.64879697561264,
      0.583332002162933,
      0.596302151679993,
      0.581120908260345,
      0.509549915790558,
      0.630292534828186,
      0.691577672958374,
      0.74852454662323,
      0.876487493515015,
      0.61350691318512,
      0.516460835933685,
      0.633828341960907,
      0.551434934139252,
      0.614462614059448,
      0.555532038211823,
      0.512394189834595,
      0.649943590164185,
      0.61401242017746,
      0.743021965026855,
      0.838383615016937,
      0.719034135341644,
      0.576712131500244,
      0.661130547523499,
      0.566428005695343,
      0.471708446741104,
      0.605212330818176,
      0.552369952201843,
      0.610201299190521,
      0.604581654071808,
      0.825370073318481,
      0.85707676410675,
      0.800321936607361,
      0.538538634777069,
      0.639615714550018,
      0.622374892234802,
      0.466397136449814,
      0.570269525051117,
      0.283814996480942,
      0.443557173013687,
      0.598583579063416,
      0.329410374164581,
      0.557076692581177,
      0.382847517728806,
      0.415996938943863,
      0.572624266147614,
      0.248588159680367,
      0.301784187555313,
      0.598426103591919,
      0.260865807533264,
      0.257937878370285,
      0.517037510871887,
      0.242232084274292,
      0.678300797939301,
      0.497214198112488,
      0.41783732175827,
      0.542376458644867,
      0.332808434963226,
      0.307077974081039,
      0.184214621782303,
      0.0447508953511715,
      0.0633451193571091,
      0.0410808958113194
    ]
  },
  "arrangement": {
    "layer_count_over_time": [
      1,
      0.735238095238095,
      0.636190476190476,
      0.582857142857143,
      0.632380952380952,
      0.577142857142857,
      0.573333333333333,
      0.617142857142857,
      0.542857142857143,
      0.64952380952381,
      0.641904761904762,
      0.779047619047619,
      0.773333333333333,
      0.676190476190476,
      0.419047619047619,
      0.464761904761905,
      0.681904761904762,
      0.552380952380952,
      0.483809523809524,
      0.626666666666667,
      0.483809523809524,
      0.413333333333333,
      0.565714285714286,
      0.893333333333333,
      0.651428571428571,
      0.79047619047619,
      0.52952380952381,
      0.670476190476191,
      0.794285714285714,
      0.411428571428571,
      0.613333333333333,
      0.655238095238095,
      0.499047619047619,
      0.382857142857143,
      0.565714285714286,
      0.489523809523809,
      0.828571428571429,
      0.771428571428572,
      0.607619047619048,
      0.666666666666667,
      0.956190476190476,
      0.638095238095238,
      0.716190476190476,
      0.651428571428571,
      0.472380952380952,
      0.487619047619048,
      0.565714285714286,
      0.626666666666667,
      0.758095238095238,
      0.548571428571429,
      0.727619047619048,
      0.767619047619048,
      0.380952380952381,
      0.638095238095238,
      0.702857142857143,
      0.499047619047619,
      0.363809523809524,
      0.613333333333333,
      0.453333333333333,
      0.830476190476191,
      0.733333333333333,
      0.548571428571429,
      0.767619047619048,
      0.952380952380952,
      0.622857142857143,
      0.742857142857143,
      0.56,
      0.481904761904762,
      0.506666666666667,
      0.426666666666667,
      0.413333333333333,
      0.708571428571429,
      0.546666666666667,
      0.468571428571429,
      0.704761904761905,
      0.487619047619048,
      0.579047619047619,
      0.537142857142857,
      0.466666666666667,
      0.386666666666667,
      0.68,
      0.624761904761905,
      0.681904761904762,
      0.76,
      0.544761904761905,
      0.988571428571428,
      0.859047619047619,
      0.611428571428571,
      0.939047619047619,
      0.441904761904762,
      0.514285714285714,
      0.687619047619048,
      0.426666666666667,
      0.455238095238095,
      0.737142857142857,
      0.478095238095238,
      0.460952380952381,
      0.691428571428572,
      0.512380952380952,
      0.575238095238095,
      0.512380952380952,
      0.462857142857143,
      0.443809523809524,
      0.674285714285714,
      0.571428571428572,
      0.733333333333333,
      0.666666666666667,
      0.630476190476191,
      0.984761904761905,
      0.826666666666667,
      0.84,
      0.866666666666667,
      0.779047619047619,
      0.72,
      0.718095238095238,
      0.339047619047619,
      0.712380952380952,
      0.859047619047619,
      0.617142857142857,
      0.651428571428571,
      0.632380952380952,
      0.60952380952381,
      0.527619047619048,
      0.763809523809524,
      0.739047619047619,
      0.771428571428571,
      0.878095238095238,
      0.737142857142857,
      0.969523809523809,
      0.853333333333333,
      0.67047619047619,
      0.801904761904762,
      0.982857142857143,
      0.678095238095238,
      0.870476190476191,
      0.992380952380952,
      0.942857142857143,
      0.881904761904762,
      0.569523809523809,
      0.704761904761905,
      0.828571428571429,
      0.659047619047619,
      0.659047619047619,
      0.584761904761905,
      0.552380952380952,
      0.60952380952381,
      0.742857142857143,
      0.735238095238095,
      0.784761904761905,
      0.855238095238095,
      0.765714285714286,
      0.979047619047619,
      0.860952380952381,
      0.626666666666667,
      0.853333333333333,
      0.994285714285714,
      0.678095238095238,
      0.895238095238095,
      0.992380952380952,
      0.958095238095238,
      0.878095238095238,
      0.582857142857143,
      0.539047619047619,
      0.641904761904762,
      0.451428571428571,
      0.626666666666667,
      0.478095238095238,
      0.476190476190476,
      0.676190476190476,
      0.394285714285714,
      0.451428571428571,
      0.506666666666667,
      0.573333333333333,
      0.546666666666667,
      0.685714285714286,
      0.556190476190476,
      0.815238095238095,
      0.788571428571428,
      0.67047619047619,
      0.708571428571429,
      0.708571428571429,
      0.525714285714286,
      0.500952380952381,
      0.56,
      0.499047619047619,
      0.556190476190476,
      0.588571428571429,
      0.434285714285714,
      0.653333333333333,
      0.453333333333333,
      0.548571428571429,
      0.651428571428571,
      0.346666666666667,
      0.447619047619048,
      0.483809523809524,
      0.584761904761905,
      0.485714285714286,
      0.748571428571429,
      0.540952380952381,
      0.801904761904762,
      0.801904761904762,
      0.611428571428571,
      0.706666666666667,
      0.674285714285714,
      0.510476190476191,
      0.56,
      0.537142857142857,
      0.4,
      0.617142857142857,
      0.590476190476191,
      0.485714285714286,
      0.948571428571429,
      0.495238095238095,
      0.487619047619048,
      0.676190476190476,
      0.40952380952381,
      0.451428571428571,
      0.609523809523809,
      0.582857142857143,
      0.68,
      0.660952380952381,
      0.413333333333333,
      0.716190476190476,
      0.952380952380952,
      0.647619047619048,
      0.723809523809524,
      0.674285714285714,
      0.403809523809524,
      0.56952380952381,
      0.643809523809524,
      0.384761904761905,
      0.638095238095238,
      0.580952380952381,
      0.540952380952381,
      0.914285714285714,
      0.478095238095238,
      0.491428571428571,
      0.653333333333333,
      0.44,
      0.466666666666667,
      0.615238095238095,
      0.59047619047619,
      0.624761904761905,
      0.657142857142857,
      0.438095238095238,
      0.796190476190476,
      0.965714285714286,
      0.782857142857143,
      0.758095238095238,
      0.697142857142857,
      0.558095238095238,
      0.792380952380952,
      0.546666666666667,
      0.56952380952381,
      0.780952380952381,
      0.756190476190476,
      0.472380952380952,
      0.754285714285714,
      0.588571428571428,
      0.582857142857143,
      0.699047619047619,
      0.836190476190476,
      0.588571428571429,
      0.887619047619048,
      0.653333333333333,
      0.961904761904762,
      0.853333333333333,
      0.820952380952381,
      0.731428571428572,
      0.914285714285714,
      0.790476190476191,
      0.815238095238095,
      0.841904761904762,
      0.773333333333333,
      0.958095238095238,
      0.628571428571429,
      0.615238095238095,
      0.805714285714286,
      0.697142857142857,
      0.540952380952381,
      0.697142857142857,
      0.59047619047619,
      0.582857142857143,
      0.725714285714286,
      0.845714285714286,
      0.584761904761905,
      0.91047619047619,
      0.700952380952381,
      0.96952380952381,
      0.870476190476191,
      0.819047619047619,
      0.683809523809524,
      0.984761904761905,
      0.845714285714286,
      0.699047619047619,
      0.994285714285714,
      0.977142857142857,
      0.935238095238095,
      0.716190476190476,
      0.264761904761905,
      0.266666666666667,
      0.398095238095238,
      0.598095238095238,
      0.493333333333333,
      0.419047619047619,
      0.459047619047619,
      0.451428571428572,
      0.605714285714286,
      0.495238095238095,
      0.495238095238095,
      0.445714285714286,
      0.392380952380952,
      0.36,
      0.413333333333333,
      0.403809523809524,
      0.601904761904762,
      0.561904761904762,
      0.523809523809524,
      0.455238095238095,
      0.533333333333333,
      0.523809523809524,
      0.71047619047619,
      0.748571428571429,
      0.84,
      0.540952380952381,
      0.64952380952381,
      0.596190476190476,
      0.411428571428571,
      0.723809523809524,
      0.561904761904762,
      0.47047619047619,
      0.525714285714286,
      0.56952380952381,
      0.481904761904762,
      0.798095238095238,
      0.556190476190476,
      0.716190476190476,
      0.96,
      0.761904761904762,
      0.716190476190476,
      0.855238095238095,
      0.523809523809524,
      0.531428571428571,
      0.622857142857143,
      0.348571428571429,
      0.708571428571429,
      0.843809523809524,
      0.674285714285714,
      0.676190476190476,
      0.6,
      0.580952380952381,
      0.586666666666667,
      0.765714285714286,
      0.725714285714286,
      0.780952380952381,
      0.864761904761905,
      0.742857142857143,
      0.973333333333333,
      0.862857142857143,
      0.636190476190476,
      0.847619047619047,
      0.883809523809524,
      0.794285714285714,
      0.891428571428571,
      0.859047619047619,
      0.742857142857143,
      0.874285714285714,
      0.558095238095238,
      0.64952380952381,
      0.84,
      0.638095238095238,
      0.647619047619048,
      0.613333333333334,
      0.55047619047619,
      0.67047619047619,
      0.744761904761905,
      0.72952380952381,
      0.794285714285714,
      0.817142857142857,
      0.796190476190476,
      0.963809523809524,
      0.805714285714286,
      0.718095238095238,
      0.866666666666667,
      0.996190476190476,
      0.651428571428571,
      0.923809523809524,
      0.982857142857143,
      0.967619047619048,
      0.832380952380952,
      0.727619047619048,
      0.723809523809524,
      0.700952380952381,
      0.495238095238095,
      0.611428571428571,
      0.64,
      0.48,
      0.725714285714286,
      0.565714285714286,
      0.68,
      0.721904761904762,
      0.708571428571429,
      0.619047619047619,
      0.592380952380952,
      0.55047619047619,
      0.632380952380952,
      0.596190476190476,
      0.518095238095238,
      0.44,
      0.527619047619048,
      0.32952380952381,
      0.468571428571429,
      0.523809523809524,
      0.638095238095238,
      0.820952380952381,
      0.702857142857143,
      0.912380952380952,
      1,
      1,
      1
    ],
    "layer_count_mean": 0.658847858197932,
    "layer_count_peak": 1,
    "minimalism_maximalism_score": 0.679640326722313,
    "drums_presence": 0.342324307331198,
    "bass_presence": 1,
    "harmonic_presence": 0.657675692668802,
    "melodic_presence": 0.474908733342113,
    "fx_presence": 0.0406955389884984,
    "analyzed_at": "2026-03-22T16:25:29.198815+00:00",
    "intro_end_seconds": 0.63,
    "outro_start_seconds": 201.55,
    "fade_out": true,
    "vocal_energy_ratio": 0.3267,
    "is_instrumental_estimate": false,
    "silence_map": [
      {
        "end": 0.63,
        "start": 0,
        "duration": 0.63
      },
      {
        "end": 204.34,
        "start": 201.6,
        "duration": 2.74
      }
    ],
    "silence_count": 2,
    "total_silence_seconds": 3.37,
    "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,
      0.213333166223252,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.213333166223252,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.425468769189869,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.290875192232214,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.545191165577097,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.542198878313282,
      0,
      0,
      0,
      0,
      0,
      0.622072685290712,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.487405444351454,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.290875192232214,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.291926083549303,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.440085768703312,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.597607184176431,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.564634900946449,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.65296482730002,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.62387716711276,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.553550071140404,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.518794869896313,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.59064153838119,
      0,
      0,
      0,
      0,
      0,
      0,
      0.521487896170044,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.69320450741204,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.282120746458502,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.462398296670582,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.380838094624523,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.479680576587893,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.538207226867646,
      0.561869833467642,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.380838094624523,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.564634900946449,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.61464462127279,
      0,
      0,
      0,
      0,
      0.504585961959011,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.65296482730002,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.479680576587893,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.406066692358539,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.61464462127279,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.445588502628102,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.474119585852384,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.537276951928331,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.504585961959011,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.313877693451536,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.291926083549303,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.396149472921266,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.545191165577097,
      0,
      0,
      0,
      0,
      0,
      0,
      0.62387716711276,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.282120746458502,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.553895855255836,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.461486902419305,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.440085768703312,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.396149472921266,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.322231648809096,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.579981502295789,
      0,
      0,
      0,
      0,
      0,
      0.520405463278532,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.491814951406435,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.406066692358539,
      0.445588502628102,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.358682849386922,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.358682849386922,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.376876428145771,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.553550071140404,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.568938594533262,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.59064153838119,
      0,
      0,
      0,
      0,
      0,
      0.538207226867646,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.517350831376041,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.561869833467642,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.313877693451536,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.474119585852384,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.579981502295789,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.648732353313505,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.468018281644821,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4969515877849,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.518861385397714,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.542198878313282,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.521487896170044,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.553895855255836,
      0,
      0,
      0,
      0,
      0,
      0.520405463278532,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.648732353313505,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.573278388946019,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.267871690372362,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.622072685290712,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.462398296670582,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.461486902419305,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.597607184176431,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.322231648809096,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.376876428145771,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.518794869896313,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.568938594533262,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.634997784883225,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.468018281644821,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.69320450741204,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.517350831376041,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.425468769189869,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.634997784883225,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.487405444351454,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.537276951928331,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.491814951406435,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4969515877849,
      0.518861385397714,
      0,
      0,
      0,
      0,
      0.573278388946019,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.267871690372362,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      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": [
      0.0732381021271289,
      0.0739050965212901,
      0.0797123835806387,
      0.0729340188956434,
      0.10408886337805,
      0.066212159497941,
      0.0752860229241316,
      0.0841084384095705,
      0.0755880442806377,
      0.103070181578688,
      0.067795096421913,
      0.0805988370100844,
      0.0450440525370135,
      0.022014575819924,
      0.0276716050913312,
      0.044639803065543,
      0.036161725218491,
      0.023842987636851,
      0.0301562594615244,
      0.0434105378419166,
      0.0158385817683119,
      0.0327560890975213,
      0.0444758978166557,
      0.047331970915704,
      0.0260299741044611,
      0.0648659629513598,
      0.0661010333365354,
      0.0536128613466743,
      0.0458645945759974,
      0.086950361939923,
      0.0298673705558297,
      0.0918241203638049,
      0.0433377795378657,
      0.0367748477020157,
      0.053311074605855,
      0.0461391128194425,
      0.0171304945232124,
      0.11778054198827,
      0.0183776294723388,
      0.0344806366075475,
      0.0719339854227838,
      0.0638442726859138,
      0.0498148981616972,
      0.0639090997220918,
      0.0239352727273418,
      0.0460020547894432,
      0.0336114533005087,
      0.039065499920508,
      0.0740348616270071,
      0.0526128631441665,
      0.0461425583608149,
      0.0554030714582058,
      0.092958260717412,
      0.0182571454061542,
      0.0963569858843894,
      0.0315497087045845,
      0.0376050327752626,
      0.0485043532911081,
      0.0445816306537628,
      0.0318374701598995,
      0.106588682255292,
      0.0171421688203789,
      0.036603835684108,
      0.0780918494378003,
      0.0596632201300688,
      0.0491815501179437,
      0.0596086094091355,
      0.0259736975005182,
      0.0494519992117884,
      0.0317457972121211,
      0.0392055261349918,
      0.102063446835654,
      0.0465173230543896,
      0.039310595649411,
      0.0699836798389084,
      0.087195729822598,
      0.0268551933598428,
      0.105756908448621,
      0.0351536718758582,
      0.0272365865898685,
      0.041591172633554,
      0.0435639244418815,
      0.0633888049507935,
      0.078420395294025,
      0.0197137248827104,
      0.04228178599487,
      0.0848131328190124,
      0.0465039476870057,
      0.0504898693927507,
      0.061075628808374,
      0.0282035654099295,
      0.0524385144688455,
      0.0458732395911932,
      0.0293661474024747,
      0.116379765049804,
      0.0294380340415567,
      0.0343756223837649,
      0.078738578979056,
      0.0786754922852945,
      0.031784436235559,
      0.104289521988787,
      0.0367214486950506,
      0.0296217464180657,
      0.0344448972924156,
      0.042597270246547,
      0.0778488997581967,
      0.0678868549866912,
      0.0187260345285987,
      0.0410791625009654,
      0.0803291061049801,
      0.105342661092198,
      0.0610434668852855,
      0.0837656356570976,
      0.058624872362992,
      0.0901568671292724,
      0.0999596717722672,
      0.0131231957241166,
      0.103614720079984,
      0.0277149725939087,
      0.0206614875518065,
      0.0248316170008828,
      0.065292746529677,
      0.0224900706582558,
      0.0852391690501771,
      0.0316673663545884,
      0.0440728838933844,
      0.0498600849416411,
      0.0513902848975434,
      0.0574492363893139,
      0.0552950707680015,
      0.0332250743340133,
      0.0241409914648012,
      0.0347319427339418,
      0.0988155894133751,
      0.0208737394663461,
      0.0726374648702808,
      0.0505178491216463,
      0.070454134445106,
      0.0898006783735003,
      0.0166485570169551,
      0.109016685650079,
      0.022363868918028,
      0.0368901923018904,
      0.0122990814664655,
      0.0645300458332412,
      0.0532736071493611,
      0.0532433136498246,
      0.0326330326883269,
      0.054587333650222,
      0.0531010981294955,
      0.0420691137224844,
      0.0647853192282822,
      0.0452510593429534,
      0.0319357819929049,
      0.026233432792336,
      0.0494331003542,
      0.0731854320744268,
      0.0301539358062671,
      0.0657332857939993,
      0.063402238087956,
      0.0539237044253977,
      0.0838942264013196,
      0.0195876863517485,
      0.108977612448109,
      0.0535882396649425,
      0.0262447810733709,
      0.0748550915530716,
      0.0615187984445064,
      0.0609445733323765,
      0.0633778646643473,
      0.0419631624857047,
      0.0574531762991003,
      0.0388382025695804,
      0.023792893748899,
      0.0837343124990271,
      0.0432398410608165,
      0.0198622428419606,
      0.0443612180322919,
      0.0880675663458124,
      0.029542647227132,
      0.0877325439596468,
      0.031136101765306,
      0.0183685010772954,
      0.036061274808432,
      0.0521012405547586,
      0.0320752377489431,
      0.091376389838057,
      0.053437554794079,
      0.0502129838003121,
      0.0581412651873049,
      0.0491473768836277,
      0.05851012582707,
      0.061955188871462,
      0.0437507665166323,
      0.0607319152119571,
      0.0470649850164863,
      0.0192037188756462,
      0.0870051141117941,
      0.0370799823334685,
      0.0149275607004019,
      0.0576308495007382,
      0.0784784247194844,
      0.0305709234365211,
      0.0915836424501833,
      0.0331872086266909,
      0.0206036045904792,
      0.0293221968043642,
      0.0552859652354711,
      0.0657803831298826,
      0.068727362648381,
      0.0513649838867785,
      0.0543198242930817,
      0.0684977955956661,
      0.0398710980914995,
      0.0726446550637461,
      0.0559754136652065,
      0.0318062378240996,
      0.0533159706454136,
      0.0457780441641502,
      0.0307726905308896,
      0.100906452518389,
      0.0368595279922931,
      0.0168137851789329,
      0.0620118835815405,
      0.0701454954014617,
      0.0396505909602421,
      0.0764352741429012,
      0.0310755208100795,
      0.0384255832393623,
      0.0232945304436625,
      0.0540559842872874,
      0.0691397121315394,
      0.061902007892219,
      0.0544885844753506,
      0.0493527434952832,
      0.0775377030634929,
      0.0299097460403599,
      0.0855033788986647,
      0.0470279959170156,
      0.0287780101748013,
      0.0562047238438602,
      0.0429070708556361,
      0.0381567582141307,
      0.0999544255212154,
      0.0295418056366428,
      0.0184804695927099,
      0.0611913014985525,
      0.096491487693156,
      0.0741421797418985,
      0.0736485684145573,
      0.0835266239416621,
      0.102463779494686,
      0.0671013110947807,
      0.0443506188501999,
      0.0700455839272257,
      0.0609150084900814,
      0.0218977588840212,
      0.0226628793809271,
      0.0640946997039952,
      0.0113088278547454,
      0.0857796360876969,
      0.0317617700951069,
      0.0215326248205566,
      0.0665153237978663,
      0.0707787923558995,
      0.0251784243541957,
      0.084481825729278,
      0.0201348962975859,
      0.0366402035125617,
      0.0285774741581693,
      0.0461321947171671,
      0.0521059881739701,
      0.0360281487214841,
      0.0410769041271768,
      0.0443437233379813,
      0.0767172390782731,
      0.0273466618553237,
      0.0813857867056007,
      0.0509139111117488,
      0.0274962819683816,
      0.0234559813679635,
      0.0686129687049711,
      0.0128523224339724,
      0.0884217609325695,
      0.0305283057014447,
      0.0194964787486711,
      0.0689859525442667,
      0.0642125888598173,
      0.0419014361970069,
      0.0673887608730958,
      0.0217534851935756,
      0.0359698363003108,
      0.02600476555787,
      0.0980642408469128,
      0.0197254784026111,
      0.0622835510967132,
      0.0563814460126546,
      0.0703226337759695,
      0.0661962806083929,
      0.0297994847895627,
      0.0810630500065971,
      0.066149444782283,
      0.0752816402156243,
      0.0698167546320083,
      0.076140387797682,
      0.0961376837350608,
      0.0594909242220275,
      0.0716833170967667,
      0.0733390966987341,
      0.0566660678589811,
      0.0597543745188026,
      0.0651575074864203,
      0.0300098468028895,
      0.0268794055545479,
      0.0580957728299245,
      0.0653711175438373,
      0.0525639606361429,
      0.0376370488611616,
      0.0718637896117731,
      0.0291230446450068,
      0.067498897262351,
      0.0762154914294811,
      0.0177166337052615,
      0.100772618045008,
      0.0280503767066189,
      0.0273766771826268,
      0.0561613759171544,
      0.0757392878223056,
      0.017020362982399,
      0.0929292576545849,
      0.0298313263126431,
      0.0317777706935709,
      0.0241156080162831,
      0.0425929255239718,
      0.0634066340772713,
      0.0651901893640286,
      0.0190747239476521,
      0.0331279606453966,
      0.0835976910102511,
      0.023166420652047,
      0.0661040818663359,
      0.0343297020877096,
      0.018217481589161,
      0.0376238747076902,
      0.0530936775734451,
      0.0207502296417844,
      0.10382007664484,
      0.0227013546383707,
      0.0341968590079558,
      0.0117633924012995,
      0.0645201482363855,
      0.0526497347252187,
      0.0574479704100619,
      0.0332421794937981,
      0.0487017056865177,
      0.0547632712476136,
      0.040664088850196,
      0.0646870550257493,
      0.0517971166295999,
      0.0285210107783683,
      0.0234595712774679,
      0.0641034232096872,
      0.0167465967646232,
      0.0638709687110409,
      0.0479448752249925,
      0.015620484028498,
      0.0449400873562876,
      0.085430216239289,
      0.0278395538591142,
      0.0985728555588591,
      0.0191243163205264,
      0.0389839763819596,
      0.0142329512013145,
      0.0582679301694541,
      0.0644023853644744,
      0.0486065460552317,
      0.0269644089694946,
      0.0561075832763016,
      0.0672380546131051,
      0.0306069407821117,
      0.0719087514674621,
      0.0414299072949737,
      0.0269236330887755,
      0.0260965859487618,
      0.0646185955582587,
      0.0585068833489151,
      0.0508212771759992,
      0.0529224237272014,
      0.0662968247409262,
      0.0509085717395244,
      0.0828862615315272,
      0.161219209260859,
      0.170229742413185,
      0.15276798233356,
      0.196117606057982,
      0.13978594185886,
      0.137779938503923,
      0.219114462252865,
      0.151866658270295,
      0.210388876532177,
      0.196375181612045,
      0.1420683738812,
      0.184351788921829,
      0.140039103191048,
      0.197620237549087,
      0.13175892518584,
      0.143837393094126,
      0.18509233765783,
      0.132350510471408,
      0.16145728801905,
      0.166254237585572,
      0.167517188422595,
      0.168968861689924,
      0.154543922478859,
      0.0766272348058121,
      0.0255467563763798,
      0.0212534071131184,
      0.00890523768599512,
      0.0613070971778042,
      0.128583322519202
    ],
    "repetition_pairs": [],
    "vocal_activity_map": [
      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,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      0,
      1,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      1,
      1,
      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,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      1,
      1,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      1,
      0,
      0,
      1,
      0,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      1,
      0,
      1,
      0,
      0,
      1,
      1,
      0,
      1,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      1,
      0,
      1,
      0,
      0,
      1,
      0,
      0,
      1,
      0,
      0,
      1,
      1,
      0,
      1,
      0,
      0,
      1,
      1,
      1,
      0,
      0,
      1,
      1,
      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,
      0,
      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,
      1,
      0,
      1,
      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,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      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": 8.47,
    "stem_separation_quality": 0.7366,
    "vocal_rms": 0.04331,
    "vocal_prominence": 0.3514,
    "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": 0.4894,
    "vocal_voiced_ratio": 0,
    "vocal_effort_curve": [
      0.0004,
      0.0004,
      0.0004,
      0.0004,
      0.0005,
      0.0003,
      0.0004,
      0.0005,
      0.0004,
      0.0003,
      0.0003,
      0.0003,
      0.0007,
      0.0042,
      0.0046,
      0.0081,
      0.0032,
      0.0048,
      0.0093,
      0.0131,
      0.0107,
      0.0028,
      0.3083,
      0.6207,
      0.6451,
      0.645,
      0.6244,
      0.6391,
      0.6731,
      0.6818,
      0.6619,
      0.5432,
      0.6481,
      0.6197,
      0.4741,
      0.7344,
      0.6484,
      0.542,
      0.7643,
      0.511,
      0.6042,
      0.8016,
      0.626,
      0.5373,
      0.6845,
      0.561,
      0.6637,
      0.6293,
      0.6243,
      0.612,
      0.705,
      0.5684,
      0.7631,
      0.5714,
      0.601,
      0.7021,
      0.4296,
      0.6882,
      0.6599,
      0.6202,
      0.6549,
      0.6194,
      0.532,
      0.8117,
      0.6747,
      0.5331,
      0.7394,
      0.2451,
      0.7898,
      0.6487,
      0.5782,
      0.6432,
      0.6706,
      0.5774,
      0.574,
      0.5313,
      0.4572,
      0.6528,
      0.5773,
      0.6103,
      0.7729,
      0.6486,
      0.5982,
      0.6529,
      0.6221,
      0.6244,
      0.6707,
      0.5738,
      0.6231,
      0.7016,
      0.7074,
      0.7091,
      0.5373,
      0.6508,
      0.725,
      0.611,
      0.5596,
      0.5031,
      0.4648,
      0.5624,
      0.6322,
      0.548,
      0.8164,
      0.7206,
      0.5259,
      0.6736,
      0.6713,
      0.6323,
      0.6464,
      0.8003,
      0.8159,
      0.7544,
      0.56,
      0.4528,
      0.5157,
      0.1773,
      0.1146,
      0.2373,
      0.2667,
      0.2815,
      0.2609,
      0.5078,
      0.498,
      0.4436,
      0.4576,
      0.5671,
      0.2692,
      0.0845,
      0.1942,
      0.3527,
      0.1414,
      0.3738,
      0.554,
      0.5521,
      0.4356,
      0.395,
      0.5002,
      0.3921,
      0.0859,
      0.1722,
      0.3141,
      0.0364,
      0.2706,
      0.4885,
      0.479,
      0.4391,
      0.4207,
      0.5434,
      0.4254,
      0.1155,
      0.2125,
      0.3844,
      0.09,
      0.2613,
      0.5753,
      0.5755,
      0.4624,
      0.4589,
      0.6994,
      0.7218,
      0.7894,
      0.79,
      0.4962,
      0.6365,
      0.7153,
      0.7518,
      0.6904,
      0.7434,
      0.6114,
      1,
      0.6801,
      0.4946,
      0.7695,
      0.5739,
      0.5173,
      0.6514,
      0.6715,
      0.5829,
      0.5924,
      0.5368,
      0.6717,
      0.7035,
      0.8269,
      0.7258,
      0.6452,
      0.5139,
      0.7455,
      0.7093,
      0.7075,
      0.8049,
      0.5987,
      0.9222,
      0.8739,
      0.4956,
      0.6802,
      0.674,
      0.5699,
      0.5828,
      0.6245,
      0.632,
      0.5537,
      0.5847,
      0.7282,
      0.6177,
      0.6668,
      0.6463,
      0.5718,
      0.531,
      0.8607,
      0.5672,
      0.5526,
      0.6011,
      0.5451,
      0.5001,
      0.8726,
      0.6596,
      0.7066,
      0.6928,
      0.5447,
      0.6953,
      0.7239,
      0.589,
      0.6461,
      0.6031,
      0.6752,
      0.7382,
      0.6464,
      0.5969,
      0.6299,
      0.575,
      0.8173,
      0.6831,
      0.4329,
      0.603,
      0.6088,
      0.4938,
      0.7839,
      0.7255,
      0.6612,
      0.6936,
      0.5257,
      0.7533,
      0.7925,
      0.7704,
      0.9116,
      0.7046,
      0.3859,
      0.4748,
      0.4847,
      0.0981,
      0.1001,
      0.247,
      0.2316,
      0.2872,
      0.2305,
      0.4985,
      0.4839,
      0.4144,
      0.461,
      0.5166,
      0.2082,
      0.0743,
      0.1831,
      0.3272,
      0.1558,
      0.3018,
      0.4591,
      0.4938,
      0.4218,
      0.414,
      0.4805,
      0.3076,
      0.0432,
      0.1036,
      0.2973,
      0.0206,
      0.3354,
      0.4865,
      0.4713,
      0.4155,
      0.4238,
      0.5238,
      0.4071,
      0.1333,
      0.2281,
      0.3634,
      0.0794,
      0.3577,
      0.5345,
      0.5456,
      0.4586,
      0.3438,
      0.0442,
      0.0139,
      0.5284,
      0.6966,
      0.6374,
      0.7734,
      0.6912,
      0.7335,
      0.548,
      0.6872,
      0.6242,
      0.6644,
      0.6688,
      0.7372,
      0.2157,
      0.6977,
      0.7356,
      0.58,
      0.8468,
      0.8181,
      0.6933,
      0.7335,
      0.9088,
      0.7709,
      0.4749,
      0.4588,
      0.241,
      0.3674,
      0.4315,
      0.2906,
      0.2662,
      0.321,
      0.1681,
      0.4507,
      0.5567,
      0.4089,
      0.4277,
      0.3326,
      0.3563,
      0.5468,
      0.384,
      0.2714,
      0.3555,
      0.1033,
      0.3746,
      0.4708,
      0.2325,
      0.041,
      0.1601,
      0.2875,
      0.088,
      0.1827,
      0.4597,
      0.4646,
      0.4335,
      0.4159,
      0.5108,
      0.4,
      0.0891,
      0.151,
      0.3674,
      0.1513,
      0.239,
      0.4636,
      0.457,
      0.4324,
      0.345,
      0.4389,
      0.4003,
      0.0866,
      0.1175,
      0.3243,
      0.0365,
      0.2744,
      0.4274,
      0.4433,
      0.4385,
      0.3536,
      0.5126,
      0.4574,
      0.2073,
      0.2504,
      0.3455,
      0.1229,
      0.1263,
      0.4428,
      0.5456,
      0.47,
      0.3974,
      0.1184,
      0.008,
      0.0007,
      0.0004,
      0.0006,
      0.0004,
      0.0005,
      0.0002,
      0.0004,
      0.0007,
      0.0004,
      0.0004,
      0.0007,
      0.0004,
      0.0003,
      0.0007,
      0.0004,
      0.0008,
      0.0005,
      0.0003,
      0.0012,
      0.0003,
      0.0002,
      0.0002,
      0.0002,
      0.0002,
      0.0002
    ],
    "vocal_pitch_curve": [],
    "drums_rms": 0.056106,
    "drums_prominence": 0.4552,
    "drums_onset_density": 5.075,
    "drums_pattern_complexity": 0.0174,
    "drums_timing_variance": 0.025551,
    "drums_is_programmed": true,
    "drums_energy_curve": [
      0.0005,
      0.0007,
      0.001,
      0.0009,
      0.0009,
      0.0009,
      0.001,
      0.001,
      0.0008,
      0.0009,
      0.0021,
      0.0336,
      0.7495,
      0.6853,
      0.3218,
      0.7478,
      0.7521,
      0.0462,
      0.746,
      0.7473,
      0.6995,
      0.2352,
      0.7558,
      0.6967,
      0.1364,
      0.7354,
      0.6777,
      0.3416,
      0.121,
      0.6829,
      0.2866,
      0.9486,
      0.9568,
      0.7581,
      0.6689,
      0.1305,
      0.6434,
      0.8747,
      0.5272,
      0.3157,
      0.6744,
      0.3043,
      0.9308,
      0.9212,
      0.6669,
      0.5737,
      0.5636,
      0.2876,
      0.6791,
      0.6706,
      0.3364,
      0.6788,
      0.2368,
      0.7222,
      0.9493,
      0.7378,
      0.7123,
      0.6683,
      0.3113,
      0.9418,
      0.6922,
      0.3196,
      0.6806,
      0.1046,
      0.7274,
      0.9385,
      0.7495,
      0.7011,
      0.6582,
      0.2568,
      0.6765,
      0.6601,
      0.32,
      0.6274,
      0.261,
      0.4485,
      0.8843,
      0.9472,
      0.7406,
      0.6507,
      0.2874,
      0.8817,
      0.7562,
      0.3169,
      0.1149,
      0.6788,
      0.3023,
      0.946,
      0.9449,
      0.7375,
      0.6685,
      0.0804,
      0.7282,
      0.6682,
      0.3223,
      0.112,
      0.6758,
      0.2778,
      0.946,
      0.9457,
      0.7531,
      0.6574,
      0.1115,
      0.7024,
      0.8909,
      0.4702,
      0.2469,
      0.074,
      0.3064,
      0.1333,
      0.0788,
      0.326,
      0.4745,
      0.504,
      0.2903,
      1,
      0.7411,
      0.7122,
      0.6946,
      0.2297,
      0.7548,
      0.6791,
      0.3047,
      0.1316,
      0.6664,
      0.3047,
      0.8998,
      0.7959,
      0.712,
      0.3686,
      0.7012,
      0.5911,
      0.1134,
      0.3195,
      0.148,
      0.6834,
      0.2843,
      0.7319,
      0.9954,
      0.7437,
      0.6737,
      0.305,
      0.654,
      0.5765,
      0.6101,
      0.3108,
      0.6722,
      0.3028,
      0.6895,
      0.8851,
      0.8258,
      0.2695,
      0.745,
      0.5614,
      0.3225,
      0.1017,
      0.3156,
      0.6687,
      0.1924,
      0.7062,
      0.6487,
      0.3205,
      0.1295,
      0.676,
      0.3055,
      0.9112,
      0.9229,
      0.7162,
      0.6472,
      0.0947,
      0.7078,
      0.9238,
      0.3827,
      0.222,
      0.6651,
      0.3148,
      0.927,
      0.9181,
      0.6965,
      0.6049,
      0.3742,
      0.3065,
      0.6707,
      0.6724,
      0.3288,
      0.6628,
      0.2962,
      0.8086,
      0.8715,
      0.6381,
      0.665,
      0.6502,
      0.2923,
      0.9372,
      0.6806,
      0.3051,
      0.6604,
      0.1012,
      0.7217,
      0.9174,
      0.7339,
      0.6761,
      0.6556,
      0.2802,
      0.6748,
      0.6675,
      0.3418,
      0.6575,
      0.1404,
      0.6195,
      0.8527,
      0.8649,
      0.7312,
      0.6743,
      0.312,
      0.9247,
      0.6886,
      0.3162,
      0.3636,
      0.5762,
      0.327,
      0.9302,
      0.9329,
      0.7393,
      0.6443,
      0.2333,
      0.7009,
      0.6663,
      0.335,
      0.0831,
      0.6682,
      0.2851,
      0.9424,
      0.9325,
      0.7383,
      0.6658,
      0.0985,
      0.7117,
      0.9319,
      0.3628,
      0.1625,
      0.0699,
      0.3254,
      0.1215,
      0.1964,
      0.323,
      0.6323,
      0.2878,
      0.4207,
      0.9877,
      0.7216,
      0.7231,
      0.7174,
      0.3099,
      0.756,
      0.6738,
      0.2997,
      0.1396,
      0.6703,
      0.3151,
      0.9773,
      0.7535,
      0.7207,
      0.7468,
      0.172,
      0.8018,
      0.6779,
      0.3514,
      0.1445,
      0.6802,
      0.3029,
      0.7555,
      0.9847,
      0.7376,
      0.6951,
      0.1947,
      0.6699,
      0.5781,
      0.4845,
      0.2414,
      0.6667,
      0.2864,
      0.689,
      0.9174,
      0.7243,
      0.266,
      0.7409,
      0.447,
      0.2605,
      0.0991,
      0.3148,
      0.0374,
      0.0014,
      0.0014,
      0.0012,
      0.0013,
      0.0012,
      0.0011,
      0.0019,
      0.0013,
      0.013,
      0.0137,
      0.6313,
      0.0131,
      0.6427,
      0.6577,
      0.6277,
      0.2277,
      0.6468,
      0.6379,
      0.0308,
      0.6436,
      0.6816,
      0.6456,
      0.1901,
      0.5084,
      0.5519,
      0.5962,
      0.3584,
      0.6596,
      0.3076,
      0.9063,
      0.8662,
      0.6474,
      0.5679,
      0.6462,
      0.3088,
      0.9256,
      0.6774,
      0.345,
      0.6594,
      0.1926,
      0.7098,
      0.9372,
      0.7427,
      0.6767,
      0.6715,
      0.3151,
      0.7883,
      0.9075,
      0.6864,
      0.7052,
      0.143,
      0.7426,
      0.62,
      0.4031,
      0.204,
      0.6431,
      0.3001,
      0.6703,
      0.9139,
      0.7159,
      0.5848,
      0.4438,
      0.5426,
      0.6481,
      0.6651,
      0.3295,
      0.6583,
      0.2878,
      0.6998,
      0.7632,
      0.9118,
      0.2066,
      0.6953,
      0.3104,
      0.6669,
      0.6615,
      0.2959,
      0.66,
      0.0966,
      0.6973,
      0.7142,
      0.9135,
      0.3053,
      0.595,
      0.642,
      0.3221,
      0.0639,
      0.3191,
      0.1196,
      0.025,
      0.3802,
      0.011,
      0.0148,
      0.3734,
      0.0249,
      0.3668,
      0.0212,
      0.012,
      0.3672,
      0.0069,
      0.0031,
      0.3643,
      0.0089,
      0.0035,
      0.3603,
      0.0083,
      0.2787,
      0.2364,
      0.0834,
      0.3597,
      0.0739,
      0.0012,
      0.001,
      0.0004,
      0.0003,
      0.0003
    ],
    "bass_rms": 0.037623,
    "bass_prominence": 0.3053,
    "bass_pitch_mean": 69.7,
    "bass_root_note": "D",
    "bass_sub_ratio": 0.8081,
    "bass_line_complexity": 1,
    "bass_energy_curve": [
      0.0002,
      0.0007,
      0.0015,
      0.0011,
      0.0022,
      0.0011,
      0.0009,
      0.0014,
      0.0018,
      0.0013,
      0.0005,
      0.0003,
      0.0013,
      0.0023,
      0.002,
      0.0012,
      0.0013,
      0.0007,
      0.0032,
      0.0014,
      0.0013,
      0.0008,
      0.0005,
      0.1398,
      0.7433,
      0.3308,
      0.6081,
      0.4602,
      0.7146,
      0.4997,
      0.6564,
      0.4461,
      0.4083,
      0.4935,
      0.5504,
      0.4494,
      0.346,
      0.3374,
      0.3461,
      0.4327,
      0.3702,
      0.3947,
      0.3428,
      0.287,
      0.3809,
      0.5468,
      0.6258,
      0.5734,
      0.5247,
      0.4426,
      0.5795,
      0.6313,
      0.6335,
      0.5252,
      0.3725,
      0.4822,
      0.4999,
      0.4585,
      0.422,
      0.1869,
      0.4126,
      0.3845,
      0.4533,
      0.3626,
      0.3921,
      0.2856,
      0.3126,
      0.543,
      0.5641,
      0.6476,
      0.4536,
      0.5744,
      0.4622,
      0.7043,
      0.5194,
      0.7181,
      0.3987,
      0.4681,
      0.436,
      0.5116,
      0.4626,
      0.2368,
      0.346,
      0.3565,
      0.5102,
      0.2665,
      0.4509,
      0.2555,
      0.3197,
      0.3891,
      0.5614,
      0.7195,
      0.3407,
      0.6307,
      0.4012,
      0.7243,
      0.4748,
      0.6978,
      0.4611,
      0.4469,
      0.5116,
      0.5624,
      0.4503,
      0.3304,
      0.3465,
      0.3367,
      0.4195,
      0.4482,
      0.407,
      0.4428,
      0.4213,
      0.4635,
      0.6616,
      0.6528,
      0.5632,
      0.3908,
      0.4686,
      0.562,
      0.5414,
      0.7126,
      0.5188,
      0.4047,
      0.6497,
      0.6281,
      0.4396,
      0.4282,
      0.3046,
      0.3284,
      0.3133,
      0.4291,
      0.3291,
      0.4128,
      0.3876,
      0.4687,
      0.6455,
      0.5914,
      0.6681,
      0.3991,
      0.4763,
      0.3827,
      0.6788,
      0.5646,
      0.6992,
      0.3926,
      0.6308,
      0.548,
      0.5188,
      0.4843,
      0.271,
      0.3836,
      0.2163,
      0.4668,
      0.23,
      0.455,
      0.3495,
      0.4879,
      0.5604,
      0.5573,
      0.7452,
      0.3306,
      0.5574,
      0.3657,
      0.8002,
      0.4721,
      0.6576,
      0.4026,
      0.405,
      0.4586,
      0.5333,
      0.4305,
      0.3021,
      0.3128,
      0.3213,
      0.4463,
      0.3376,
      0.4288,
      0.321,
      0.2618,
      0.3942,
      0.565,
      0.6478,
      0.5263,
      0.5214,
      0.3889,
      0.6617,
      0.6169,
      0.6124,
      0.5057,
      0.3794,
      0.4652,
      0.5062,
      0.3909,
      0.3891,
      0.2176,
      0.3728,
      0.3858,
      0.4153,
      0.4015,
      0.374,
      0.2544,
      0.3334,
      0.5331,
      0.5718,
      0.6367,
      0.4517,
      0.5143,
      0.4813,
      0.7279,
      0.5031,
      0.6639,
      0.3731,
      0.4903,
      0.4346,
      0.5089,
      0.4559,
      0.2329,
      0.3421,
      0.3484,
      0.5286,
      0.2584,
      0.4407,
      0.2257,
      0.2811,
      0.4136,
      0.5601,
      0.7195,
      0.3277,
      0.5817,
      0.4063,
      0.7686,
      0.4715,
      0.654,
      0.4087,
      0.4279,
      0.4946,
      0.5576,
      0.4857,
      0.3034,
      0.3198,
      0.3371,
      0.4706,
      0.4233,
      0.4123,
      0.424,
      0.4097,
      0.491,
      0.6816,
      0.6759,
      0.5282,
      0.4035,
      0.4598,
      0.5929,
      0.5412,
      0.6937,
      0.5186,
      0.4231,
      0.6267,
      0.6457,
      0.4237,
      0.4205,
      0.3006,
      0.3324,
      0.3305,
      0.3871,
      0.4484,
      0.3558,
      0.3005,
      0.4235,
      0.6678,
      0.5899,
      0.6562,
      0.4122,
      0.4601,
      0.4332,
      0.6375,
      0.6034,
      0.6577,
      0.3996,
      0.6455,
      0.5432,
      0.5175,
      0.4695,
      0.2972,
      0.3984,
      0.2558,
      0.4678,
      0.2518,
      0.4454,
      0.3397,
      0.4941,
      0.5732,
      0.7393,
      1,
      0.6877,
      0.7635,
      0.5131,
      0.8302,
      0.5772,
      0.7996,
      0.5243,
      0.8032,
      0.678,
      0.5615,
      0.522,
      0.3414,
      0.4502,
      0.5057,
      0.4491,
      0.3146,
      0.4103,
      0.446,
      0.3799,
      0.4534,
      0.5338,
      0.5532,
      0.4247,
      0.5943,
      0.3788,
      0.6838,
      0.6131,
      0.5921,
      0.5077,
      0.4096,
      0.5121,
      0.5965,
      0.4115,
      0.4049,
      0.2388,
      0.3882,
      0.3984,
      0.4548,
      0.395,
      0.3704,
      0.2667,
      0.3446,
      0.5998,
      0.5836,
      0.6353,
      0.3893,
      0.4415,
      0.4318,
      0.6072,
      0.6137,
      0.6129,
      0.387,
      0.6281,
      0.5408,
      0.4892,
      0.447,
      0.2769,
      0.3585,
      0.2386,
      0.453,
      0.3105,
      0.4526,
      0.2722,
      0.3913,
      0.5543,
      0.5454,
      0.7275,
      0.316,
      0.5548,
      0.1982,
      0.6987,
      0.4421,
      0.7142,
      0.3594,
      0.6024,
      0.5592,
      0.5465,
      0.4853,
      0.3004,
      0.3466,
      0.2664,
      0.4188,
      0.3035,
      0.3801,
      0.369,
      0.452,
      0.4936,
      0.6024,
      0.0222,
      0.0007,
      0.0004,
      0.0006,
      0.0011,
      0.0004,
      0.0005,
      0.0003,
      0.0006,
      0.0008,
      0.0007,
      0.0005,
      0.0008,
      0.0007,
      0.0006,
      0.0008,
      0.0006,
      0.0006,
      0.0007,
      0.0007,
      0.001,
      0.0006,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001
    ],
    "other_rms": 0.027354,
    "other_prominence": 0.2219,
    "other_spectral_centroid": 0.1034,
    "other_harmonic_density": 0.9957,
    "other_energy_curve": [
      0.0013,
      0.7408,
      1,
      0.9536,
      0.927,
      0.9648,
      0.8483,
      0.9977,
      0.7548,
      0.9581,
      0.7626,
      0.8102,
      0.5572,
      0.7049,
      0.715,
      0.5271,
      0.6276,
      0.6665,
      0.5427,
      0.6069,
      0.7242,
      0.64,
      0.4475,
      0.378,
      0.4941,
      0.3978,
      0.5412,
      0.5545,
      0.5985,
      0.5481,
      0.5518,
      0.3302,
      0.4688,
      0.4142,
      0.4997,
      0.6089,
      0.5029,
      0.4609,
      0.4704,
      0.5229,
      0.4666,
      0.5393,
      0.4656,
      0.4327,
      0.4122,
      0.4198,
      0.5062,
      0.4276,
      0.538,
      0.5667,
      0.4647,
      0.5756,
      0.6026,
      0.3561,
      0.4377,
      0.3825,
      0.5107,
      0.5177,
      0.5898,
      0.4272,
      0.484,
      0.4936,
      0.5379,
      0.5792,
      0.4615,
      0.4987,
      0.3786,
      0.6083,
      0.5144,
      0.4908,
      0.529,
      0.6,
      0.6017,
      0.5577,
      0.6385,
      0.4735,
      0.5272,
      0.4126,
      0.4459,
      0.4598,
      0.6467,
      0.4975,
      0.4814,
      0.4365,
      0.6011,
      0.4988,
      0.5397,
      0.4118,
      0.4751,
      0.4215,
      0.5967,
      0.5479,
      0.4485,
      0.5661,
      0.5779,
      0.5947,
      0.5091,
      0.5857,
      0.395,
      0.5086,
      0.4391,
      0.4789,
      0.624,
      0.4744,
      0.4417,
      0.4479,
      0.6132,
      0.6023,
      0.5129,
      0.5995,
      0.6086,
      0.5461,
      0.5368,
      0.5661,
      0.5002,
      0.4243,
      0.5203,
      0.4741,
      0.4883,
      0.7341,
      0.7976,
      0.6165,
      0.4214,
      0.5956,
      0.5108,
      0.5826,
      0.4522,
      0.3877,
      0.4516,
      0.5019,
      0.5507,
      0.8317,
      0.6985,
      0.4675,
      0.6002,
      0.4805,
      0.5079,
      0.5001,
      0.4428,
      0.4853,
      0.513,
      0.7006,
      0.814,
      0.6622,
      0.4036,
      0.4881,
      0.4622,
      0.5726,
      0.4407,
      0.4346,
      0.3029,
      0.5114,
      0.4733,
      0.7614,
      0.6022,
      0.5811,
      0.4779,
      0.5005,
      0.5849,
      0.4916,
      0.4649,
      0.5664,
      0.6287,
      0.5294,
      0.5211,
      0.3592,
      0.4388,
      0.352,
      0.5158,
      0.6088,
      0.4427,
      0.4225,
      0.463,
      0.5873,
      0.5034,
      0.5779,
      0.4964,
      0.4923,
      0.5013,
      0.492,
      0.5845,
      0.5177,
      0.4622,
      0.4536,
      0.5149,
      0.549,
      0.5858,
      0.4136,
      0.4206,
      0.3595,
      0.4988,
      0.5153,
      0.5687,
      0.3901,
      0.4706,
      0.5122,
      0.5389,
      0.6469,
      0.4945,
      0.4927,
      0.4647,
      0.5104,
      0.482,
      0.5293,
      0.4722,
      0.5645,
      0.4946,
      0.5697,
      0.5951,
      0.4194,
      0.4483,
      0.3245,
      0.4683,
      0.4934,
      0.6251,
      0.4909,
      0.4837,
      0.5441,
      0.5977,
      0.521,
      0.5875,
      0.4276,
      0.433,
      0.4183,
      0.4781,
      0.554,
      0.4237,
      0.5543,
      0.6101,
      0.6316,
      0.5373,
      0.4975,
      0.388,
      0.4108,
      0.3643,
      0.5552,
      0.6746,
      0.477,
      0.4517,
      0.5433,
      0.6034,
      0.6006,
      0.525,
      0.635,
      0.6013,
      0.5287,
      0.5998,
      0.5781,
      0.506,
      0.398,
      0.527,
      0.5074,
      0.4895,
      0.7593,
      0.7223,
      0.6058,
      0.4362,
      0.595,
      0.4895,
      0.6077,
      0.4636,
      0.3505,
      0.461,
      0.424,
      0.7036,
      0.7856,
      0.569,
      0.4613,
      0.6283,
      0.4798,
      0.4904,
      0.5068,
      0.4437,
      0.5363,
      0.5216,
      0.744,
      0.7358,
      0.6434,
      0.4196,
      0.5907,
      0.4415,
      0.5989,
      0.4608,
      0.3836,
      0.3099,
      0.4959,
      0.5164,
      0.8101,
      0.7222,
      0.628,
      0.5112,
      0.6695,
      0.6354,
      0.8261,
      0.5447,
      0.6455,
      0.5356,
      0.5737,
      0.5319,
      0.5189,
      0.5563,
      0.4448,
      0.4039,
      0.4315,
      0.4157,
      0.3068,
      0.4392,
      0.4169,
      0.2746,
      0.3525,
      0.3342,
      0.2731,
      0.2352,
      0.3414,
      0.4896,
      0.457,
      0.5359,
      0.5089,
      0.5823,
      0.5139,
      0.5468,
      0.3796,
      0.4667,
      0.3837,
      0.5511,
      0.5585,
      0.5329,
      0.3824,
      0.3889,
      0.544,
      0.5122,
      0.5234,
      0.453,
      0.4156,
      0.3696,
      0.5545,
      0.5063,
      0.5076,
      0.4963,
      0.4335,
      0.484,
      0.5096,
      0.7055,
      0.7542,
      0.6198,
      0.3933,
      0.5186,
      0.414,
      0.5788,
      0.4565,
      0.366,
      0.3405,
      0.4868,
      0.6178,
      0.7724,
      0.6238,
      0.4399,
      0.5012,
      0.4772,
      0.5449,
      0.4477,
      0.4751,
      0.4937,
      0.5431,
      0.6142,
      0.8043,
      0.6735,
      0.44,
      0.4104,
      0.5095,
      0.6079,
      0.4403,
      0.4352,
      0.3089,
      0.4886,
      0.4826,
      0.6625,
      0.7361,
      0.6055,
      0.5025,
      0.5374,
      0.7973,
      0.6368,
      0.7469,
      0.7991,
      0.6006,
      0.851,
      0.7034,
      0.7189,
      0.7919,
      0.6006,
      0.7106,
      0.6987,
      0.6822,
      0.767,
      0.656,
      0.6616,
      0.7517,
      0.6834,
      0.7102,
      0.8429,
      0.7865,
      0.7347,
      0.1795,
      0.0104,
      0.0023,
      0.0017,
      0.001
    ],
    "rhythmic_foundation": 0.7605,
    "harmonic_vocal_balance": 0.6129,
    "key_validated": false,
    "key_bass_agreement": false,
    "section_map": [
      {
        "type": "intro",
        "end_seconds": 5,
        "start_seconds": 0
      },
      {
        "type": "instrumental",
        "end_seconds": 17,
        "start_seconds": 5
      },
      {
        "type": "verse",
        "end_seconds": 90,
        "start_seconds": 17
      },
      {
        "type": "chorus",
        "end_seconds": 118.5,
        "start_seconds": 90
      },
      {
        "type": "verse",
        "end_seconds": 204,
        "start_seconds": 118.5
      }
    ],
    "created_at": "2026-03-19T05:58:19.014052+00:00",
    "updated_at": "2026-03-22T16:25:30.513346+00:00",
    "drums_classification_confidence": 0.3,
    "drums_classification_source": "algorithm",
    "vocal_energy_curve": [
      0.000239818269619718,
      0.000229714685701765,
      0.000259777880273759,
      0.000224737901589833,
      0.000274238554993644,
      0.000209848818485625,
      0.000223344555706717,
      0.000287218252196908,
      0.000273587240371853,
      0.000223957278649323,
      0.000173221545992419,
      0.000138178118504584,
      0.000374511902919039,
      0.00123690790496767,
      0.00315521471202374,
      0.00327375112101436,
      0.00157440116163343,
      0.00197644555009902,
      0.00448362156748772,
      0.00624020071700215,
      0.00326244137249887,
      0.00375414662994444,
      0.016806598752737,
      0.313071459531784,
      0.463019877672195,
      0.325354069471359,
      0.437135517597198,
      0.438637614250183,
      0.407728523015976,
      0.342878460884094,
      0.462037593126297,
      0.434013783931732,
      0.358312427997589,
      0.446526557207108,
      0.264293015003204,
      0.346429198980331,
      0.468183696269989,
      0.393546551465988,
      0.375874608755112,
      0.43972834944725,
      0.346206098794937,
      0.426526188850403,
      0.502545833587646,
      0.388178586959839,
      0.287844955921173,
      0.379938989877701,
      0.360455304384232,
      0.433247685432434,
      0.402494937181473,
      0.395765960216522,
      0.376374423503876,
      0.455743968486786,
      0.332337558269501,
      0.496129423379898,
      0.375369161367416,
      0.369463622570038,
      0.453961670398712,
      0.257966011762619,
      0.40112715959549,
      0.431656002998352,
      0.400983035564423,
      0.394611477851868,
      0.399761945009232,
      0.368159264326096,
      0.454206973314285,
      0.515646159648895,
      0.338928669691086,
      0.372566014528275,
      0.231625288724899,
      0.392999231815338,
      0.46623632311821,
      0.314636468887329,
      0.368757337331772,
      0.494208365678787,
      0.376888513565063,
      0.334679812192917,
      0.339034140110016,
      0.229296460747719,
      0.352507025003433,
      0.387407213449478,
      0.379725456237793,
      0.460157066583633,
      0.491627722978592,
      0.362788319587708,
      0.376943200826645,
      0.458355605602264,
      0.321891218423843,
      0.43066731095314,
      0.429577380418777,
      0.321325749158859,
      0.480307459831238,
      0.352342367172241,
      0.48220631480217,
      0.40842679142952,
      0.356221705675125,
      0.403402745723724,
      0.437794178724289,
      0.383636176586151,
      0.305435448884964,
      0.309432357549667,
      0.280975043773651,
      0.346953779459,
      0.407347500324249,
      0.343671411275864,
      0.542102217674255,
      0.457366824150085,
      0.326889276504517,
      0.424110025167465,
      0.431466609239578,
      0.395061910152435,
      0.419272840023041,
      0.505994021892548,
      0.515879809856415,
      0.490706950426102,
      0.334591567516327,
      0.268009692430496,
      0.336701393127441,
      0.147647127509117,
      0.0439707711338997,
      0.0908463969826698,
      0.20620109140873,
      0.0655938908457756,
      0.164673119783401,
      0.314833760261536,
      0.306594759225845,
      0.285768151283264,
      0.253552377223969,
      0.360488176345825,
      0.27613553404808,
      0.0859063565731049,
      0.0946271941065788,
      0.205857798457146,
      0.0508860610425472,
      0.160886406898499,
      0.305231213569641,
      0.35820597410202,
      0.342359274625778,
      0.235130086541176,
      0.318480640649796,
      0.334667772054672,
      0.094748355448246,
      0.0818965509533882,
      0.13379442691803,
      0.115608721971512,
      0.0453528054058552,
      0.15864460170269,
      0.308243483304977,
      0.329431712627411,
      0.298762857913971,
      0.276886612176895,
      0.357650578022003,
      0.206760093569756,
      0.0628193393349648,
      0.112701989710331,
      0.225679188966751,
      0.0560037307441235,
      0.165862545371056,
      0.384838223457336,
      0.3767931163311,
      0.301840782165527,
      0.291446089744568,
      0.464084953069687,
      0.440216064453125,
      0.51658570766449,
      0.520361542701721,
      0.287633806467056,
      0.367661088705063,
      0.455280393362045,
      0.482707023620605,
      0.43873593211174,
      0.510789096355438,
      0.376107603311539,
      0.570275366306305,
      0.521604895591736,
      0.281638532876968,
      0.460732847452164,
      0.425983399152756,
      0.362062364816666,
      0.326956123113632,
      0.405111849308014,
      0.408986300230026,
      0.354948788881302,
      0.394609987735748,
      0.327858626842499,
      0.418159574270248,
      0.520126938819885,
      0.51093465089798,
      0.499913394451141,
      0.308607697486877,
      0.410495847463608,
      0.445286184549332,
      0.470038384199142,
      0.449209749698639,
      0.486216306686401,
      0.357867211103439,
      0.682231843471527,
      0.451188743114471,
      0.282051563262939,
      0.490244626998901,
      0.367650032043457,
      0.292372703552246,
      0.372088462114334,
      0.436544090509415,
      0.376206159591675,
      0.374470829963684,
      0.326437085866928,
      0.49827367067337,
      0.37988269329071,
      0.423389405012131,
      0.401071667671204,
      0.370975404977798,
      0.317883282899857,
      0.559847474098206,
      0.344712644815445,
      0.344937473535538,
      0.368826895952225,
      0.367058664560318,
      0.298847079277039,
      0.544932782649994,
      0.431182861328125,
      0.410563707351685,
      0.449941724538803,
      0.361179858446121,
      0.418199509382248,
      0.464154869318008,
      0.329789668321609,
      0.42128124833107,
      0.407540708780289,
      0.376299738883972,
      0.501632332801819,
      0.39987125992775,
      0.373682200908661,
      0.384318023920059,
      0.397923439741135,
      0.392027974128723,
      0.510702610015869,
      0.310659795999527,
      0.310834318399429,
      0.417488098144531,
      0.32875582575798,
      0.304852098226547,
      0.543337643146515,
      0.421037256717682,
      0.459792912006378,
      0.416614711284637,
      0.360726654529572,
      0.520159482955933,
      0.488563627004623,
      0.479795277118683,
      0.57649552822113,
      0.397402465343475,
      0.180342987179756,
      0.316639244556427,
      0.266038179397583,
      0.0297561753541231,
      0.0726499333977699,
      0.150818139314651,
      0.068204753100872,
      0.126142218708992,
      0.172889590263367,
      0.30405005812645,
      0.311441242694855,
      0.254010021686554,
      0.307416260242462,
      0.331841915845871,
      0.124281592667103,
      0.0443613417446613,
      0.0862834379076958,
      0.173813104629517,
      0.0896902158856392,
      0.184642106294632,
      0.294663816690445,
      0.31291589140892,
      0.278162926435471,
      0.251978427171707,
      0.305644780397415,
      0.222508624196053,
      0.0301826931536198,
      0.0636652633547783,
      0.175368458032608,
      0.01427495572716,
      0.142091900110245,
      0.2680823802948,
      0.285134673118591,
      0.291823357343674,
      0.243468746542931,
      0.361567080020905,
      0.307281076908112,
      0.108902558684349,
      0.11137294024229,
      0.160949289798737,
      0.107860587537289,
      0.136083990335464,
      0.2501560151577,
      0.367677301168442,
      0.336015075445175,
      0.30013519525528,
      0.0835156738758087,
      0.01245959661901,
      0.0835361033678055,
      0.409641832113266,
      0.393216967582703,
      0.422324270009995,
      0.459257304668427,
      0.506318688392639,
      0.435021370649338,
      0.392397701740265,
      0.429509282112122,
      0.327250957489014,
      0.405406773090363,
      0.452681541442871,
      0.425443321466446,
      0.0961674898862839,
      0.492571502923965,
      0.423744767904282,
      0.402377307415009,
      0.555263757705688,
      0.532568752765656,
      0.438163340091705,
      0.47451239824295,
      0.603574573993683,
      0.509761035442352,
      0.309979259967804,
      0.292361497879028,
      0.163400784134865,
      0.209725841879845,
      0.296906858682632,
      0.193673521280289,
      0.15414796769619,
      0.204054728150368,
      0.11529441177845,
      0.25288662314415,
      0.336471021175385,
      0.261766016483307,
      0.283290088176727,
      0.262947797775269,
      0.16826693713665,
      0.338131695985794,
      0.30320680141449,
      0.164594739675522,
      0.206852450966835,
      0.130760356783867,
      0.0956165865063667,
      0.304859936237335,
      0.243206515908241,
      0.0311893150210381,
      0.0829478204250336,
      0.149027675390244,
      0.0513402745127678,
      0.094511590898037,
      0.162773668766022,
      0.293043434619904,
      0.304310977458954,
      0.260171800851822,
      0.314604490995407,
      0.342753499746323,
      0.126739382743835,
      0.0502160303294659,
      0.110729083418846,
      0.172439113259315,
      0.0926929339766502,
      0.144459336996078,
      0.292257010936737,
      0.314300507307053,
      0.272784799337387,
      0.235012203454971,
      0.286320120096207,
      0.215603947639465,
      0.0438759289681911,
      0.0714053586125374,
      0.192032918334007,
      0.0131319984793663,
      0.120359003543854,
      0.249073192477226,
      0.276564508676529,
      0.290680915117264,
      0.227963358163834,
      0.341624915599823,
      0.298056304454803,
      0.123941764235497,
      0.141188532114029,
      0.17619676887989,
      0.097653441131115,
      0.0738935545086861,
      0.198927506804466,
      0.379498034715652,
      0.321301639080048,
      0.278853803873062,
      0.100143611431122,
      0.0089963935315609,
      0.00073878321563825,
      0.000286156515358016,
      0.000367363536497578,
      0.000295295671094209,
      0.000205287098651752,
      0.000226499629206955,
      0.000175501074409112,
      0.000285492511466146,
      0.000380059791496024,
      0.000262774556176737,
      0.000356250122422352,
      0.000251798745011911,
      0.000225450334255584,
      0.000362165505066514,
      0.000232963560847566,
      0.000236231120652519,
      0.000374705850845203,
      0.000217827400774695,
      0.000206169512239285,
      0.00046767242019996,
      0.00017248178482987,
      0.000157713075168431,
      0.000159715011250228,
      0.000161227391799912,
      0.000160290350322612,
      0.000161504562129267,
      0.000146369420690462
    ],
    "analysis_drums_energy_curve": [
      0.000247507530730218,
      0.000347154302289709,
      0.000466352823423222,
      0.000427962513640523,
      0.000419927382608876,
      0.000440574483945966,
      0.000417371687944978,
      0.000472870538942516,
      0.000407197017921135,
      0.000409006257541478,
      0.000460482318885624,
      0.00875629112124443,
      0.194113373756409,
      0.0164927821606398,
      0.208822712302208,
      0.211916014552116,
      0.0410527363419533,
      0.181924223899841,
      0.206089004874229,
      0.163244262337685,
      0.0538969710469246,
      0.215442448854446,
      0.204910054802895,
      0.06573336571455,
      0.197894185781479,
      0.105105504393578,
      0.202179208397865,
      0.19474133849144,
      0.116399392485619,
      0.191236555576324,
      0.0461003258824348,
      0.157581403851509,
      0.3061743080616,
      0.343209236860275,
      0.277263134717941,
      0.18885301053524,
      0.0728495046496391,
      0.260301232337952,
      0.313241094350815,
      0.101376928389072,
      0.0463049784302711,
      0.185037285089493,
      0.0956258177757263,
      0.35230678319931,
      0.35672453045845,
      0.259938031435013,
      0.180380612611771,
      0.0679292231798172,
      0.122549131512642,
      0.168849855661392,
      0.205846354365349,
      0.115707829594612,
      0.193639606237411,
      0.0511559136211872,
      0.236382022500038,
      0.361532628536224,
      0.263873487710953,
      0.219064518809319,
      0.185882419347763,
      0.0933312401175499,
      0.35515221953392,
      0.20119546353817,
      0.107316173613071,
      0.125756144523621,
      0.102344930171967,
      0.0988274216651917,
      0.360557436943054,
      0.361782103776932,
      0.271791756153107,
      0.189318776130676,
      0.027562215924263,
      0.240572661161423,
      0.1828603297472,
      0.102930352091789,
      0.0499258860945702,
      0.184629157185555,
      0.0878474116325378,
      0.353648841381073,
      0.338106602430344,
      0.219522669911385,
      0.149005979299545,
      0.145746141672134,
      0.0962865129113197,
      0.355429649353027,
      0.204091355204582,
      0.0997311323881149,
      0.191014721989632,
      0.0279894135892391,
      0.241201490163803,
      0.33297535777092,
      0.270590603351593,
      0.23433144390583,
      0.189868658781052,
      0.0830279812216759,
      0.207011327147484,
      0.193850234150887,
      0.0953937098383904,
      0.0349838696420193,
      0.188863232731819,
      0.0904505252838135,
      0.36378476023674,
      0.360964268445969,
      0.263820618391037,
      0.194406077265739,
      0.0321661718189716,
      0.219807848334312,
      0.310578018426895,
      0.133374035358429,
      0.0915847346186638,
      0.0219434890896082,
      0.0915041416883469,
      0.0519556365907192,
      0.0223096925765276,
      0.0971830412745476,
      0.0469359867274761,
      0.193387314677238,
      0.0905276909470558,
      0.31645080447197,
      0.3709457218647,
      0.26386570930481,
      0.220536485314369,
      0.0649580806493759,
      0.246025606989861,
      0.151233211159706,
      0.170992717146873,
      0.101377859711647,
      0.187278836965561,
      0.0799365416169167,
      0.239045664668083,
      0.262258172035217,
      0.403526723384857,
      0.115912988781929,
      0.240158662199974,
      0.225282043218613,
      0.132549062371254,
      0.0261200554668903,
      0.100619070231915,
      0.179269269108772,
      0.0662128105759621,
      0.111323699355125,
      0.413926750421524,
      0.272864073514938,
      0.258875280618668,
      0.243335232138634,
      0.0766949579119682,
      0.302609473466873,
      0.202091917395592,
      0.0933446437120438,
      0.0473462641239166,
      0.189219519495964,
      0.091849111020565,
      0.248653247952461,
      0.398854076862335,
      0.289929866790771,
      0.110621564090252,
      0.254639118909836,
      0.239489808678627,
      0.108845576643944,
      0.0344111621379852,
      0.0983425751328468,
      0.193307116627693,
      0.01821343973279,
      0.250473409891129,
      0.181087121367455,
      0.102466903626919,
      0.054587971419096,
      0.18845896422863,
      0.092281736433506,
      0.342051118612289,
      0.33395066857338,
      0.210091978311539,
      0.146071121096611,
      0.135175958275795,
      0.0967039242386818,
      0.359474688768387,
      0.202662721276283,
      0.0950350984930992,
      0.194820985198021,
      0.0331689678132534,
      0.243643641471863,
      0.322073489427567,
      0.263523489236832,
      0.217893347144127,
      0.18510314822197,
      0.0776524320244789,
      0.200400099158287,
      0.194469600915909,
      0.0964484736323357,
      0.0387277938425541,
      0.184454187750816,
      0.0968569442629814,
      0.352465838193893,
      0.35781529545784,
      0.24441009759903,
      0.192486092448235,
      0.0302401967346668,
      0.218222334980965,
      0.311393827199936,
      0.127433508634567,
      0.0804265290498734,
      0.187745988368988,
      0.0938572287559509,
      0.294269740581512,
      0.299875497817993,
      0.201393648982048,
      0.197367310523987,
      0.186761766672134,
      0.0884690880775452,
      0.196623265743256,
      0.190922901034355,
      0.10335922986269,
      0.175558179616928,
      0.0402072183787823,
      0.174494802951813,
      0.300213187932968,
      0.327994853258133,
      0.25005915760994,
      0.194831788539886,
      0.0782389044761658,
      0.263747036457062,
      0.297246694564819,
      0.0951963886618614,
      0.04582254961133,
      0.188557982444763,
      0.102419711649418,
      0.353613525629044,
      0.357855170965195,
      0.254600673913956,
      0.165686637163162,
      0.0534467175602913,
      0.125793442130089,
      0.154033973813057,
      0.197416186332703,
      0.0989089533686638,
      0.189888387918472,
      0.0575710125267506,
      0.235311925411224,
      0.340415507555008,
      0.253802359104156,
      0.204728484153748,
      0.184485599398613,
      0.0923994556069374,
      0.351291239261627,
      0.197522327303886,
      0.0942782610654831,
      0.0428281426429749,
      0.0234603099524975,
      0.0960437804460526,
      0.0711263865232468,
      0.0275406427681446,
      0.0942954197525978,
      0.196857362985611,
      0.0359133966267109,
      0.260737061500549,
      0.300945460796356,
      0.386738687753677,
      0.135025471448898,
      0.237252026796341,
      0.130255296826363,
      0.267204701900482,
      0.199412301182747,
      0.0953586399555206,
      0.0931703746318817,
      0.139697998762131,
      0.0999326482415199,
      0.4150350689888,
      0.300448179244995,
      0.273158460855484,
      0.258425891399384,
      0.0432762615382671,
      0.328130602836609,
      0.194042101502419,
      0.12259966135025,
      0.0671208426356316,
      0.190719917416573,
      0.0930824801325798,
      0.250734120607376,
      0.368836104869843,
      0.344674617052078,
      0.0968087539076805,
      0.20183239877224,
      0.121174238622189,
      0.208470836281776,
      0.200792089104652,
      0.0872498080134392,
      0.19830884039402,
      0.0328925102949142,
      0.210299551486969,
      0.308400601148605,
      0.292481273412704,
      0.207401856780052,
      0.141832679510117,
      0.294925510883331,
      0.130457043647766,
      0.0232953559607267,
      0.0900674164295197,
      0.0385831966996193,
      0.000642973987851292,
      0.000690889079123735,
      0.000681745761539787,
      0.000608018774073571,
      0.000637810328043997,
      0.000553910911548883,
      0.00057400920195505,
      0.000931107322685421,
      0.000621355895418674,
      0.00293626030907035,
      0.00331074022687972,
      0.165858060121536,
      0.121180027723312,
      0.0536279678344727,
      0.177687019109726,
      0.173840239644051,
      0.00571703119203448,
      0.169598191976547,
      0.168179243803024,
      0.0455567799508572,
      0.139174267649651,
      0.191909983754158,
      0.223384693264961,
      0.0466782376170158,
      0.12646721303463,
      0.149631410837173,
      0.191106632351875,
      0.115751124918461,
      0.189038544893265,
      0.0681318938732147,
      0.233675867319107,
      0.33371701836586,
      0.265643179416656,
      0.213574260473251,
      0.183415532112122,
      0.0932537689805031,
      0.348751246929169,
      0.195340618491173,
      0.108215697109699,
      0.147168323397636,
      0.0922903493046761,
      0.105220451951027,
      0.346355646848679,
      0.364029675722122,
      0.274134248495102,
      0.195315450429916,
      0.0414183065295219,
      0.254387766122818,
      0.285509079694748,
      0.372351676225662,
      0.117100775241852,
      0.230773195624352,
      0.127203673124313,
      0.236133188009262,
      0.20009209215641,
      0.0960789993405342,
      0.0950701013207436,
      0.123491287231445,
      0.0958988070487976,
      0.382182151079178,
      0.289514899253845,
      0.258847147226334,
      0.247211188077927,
      0.0423665009438992,
      0.348242729902267,
      0.183230116963387,
      0.109983451664448,
      0.058020431548357,
      0.183584779500961,
      0.0904290750622749,
      0.244668379426003,
      0.353392392396927,
      0.318464517593384,
      0.103361338376999,
      0.194983497262001,
      0.130016297101974,
      0.211123466491699,
      0.195734411478043,
      0.0869173035025597,
      0.199710309505463,
      0.0341771468520164,
      0.217991784214973,
      0.301023036241531,
      0.289146721363068,
      0.195787742733955,
      0.134963765740395,
      0.301922768354416,
      0.146230846643448,
      0.0227186400443316,
      0.0950764864683151,
      0.0455767288804054,
      0.00715008750557899,
      0.0931776538491249,
      0.00502847414463758,
      0.0055136363953352,
      0.0912402719259262,
      0.00542679242789745,
      0.00940538663417101,
      0.0883395224809647,
      0.00615789275616407,
      0.00333114876411855,
      0.0857094377279282,
      0.00102102872915566,
      0.072126492857933,
      0.0166570264846087,
      0.00329654407687485,
      0.0852591767907143,
      0.00256201741285622,
      0.0051798359490931,
      0.0879928469657898,
      0.028211297467351,
      0.0333725176751614,
      0.108328424394131,
      0.0153247294947505,
      0.000318369740853086,
      0.000422806479036808,
      0.000177306501427665,
      0.000162873970111832,
      0.000158334616571665,
      0.000140473217470571
    ],
    "analysis_bass_energy_curve": [
      0.000187060941243544,
      0.000520077359396964,
      0.00116293434984982,
      0.00089236325584352,
      0.0016712408978492,
      0.00087216286920011,
      0.000713726156391203,
      0.0010755859548226,
      0.0014655648265034,
      0.00075816921889782,
      0.000695872062351555,
      0.000272977806162089,
      0.000790802703704685,
      0.000616278557572514,
      0.00212925230152905,
      0.000846536771859974,
      0.000842121604364365,
      0.000840842665638775,
      0.00173447735141963,
      0.00130632589571178,
      0.000761935720220208,
      0.00094262370839715,
      0.000468340062070638,
      0.000770573562476784,
      0.405054271221161,
      0.523290574550629,
      0.348867982625961,
      0.443347543478012,
      0.414156198501587,
      0.581612229347229,
      0.455167323350906,
      0.55293196439743,
      0.245811358094215,
      0.346600025892258,
      0.334030330181122,
      0.404648661613464,
      0.430495798587799,
      0.196137621998787,
      0.254838854074478,
      0.291116505861282,
      0.438371539115906,
      0.214787051081657,
      0.371761113405228,
      0.209480002522469,
      0.219369471073151,
      0.315713912248611,
      0.44091808795929,
      0.570621073246002,
      0.422611445188522,
      0.441252082586288,
      0.352723121643066,
      0.472415596246719,
      0.504456043243408,
      0.536694228649139,
      0.424574226140976,
      0.246943578124046,
      0.384469032287598,
      0.380809396505356,
      0.383090406656265,
      0.375964790582657,
      0.149348601698875,
      0.320639431476593,
      0.298837840557098,
      0.444059371948242,
      0.219605639576912,
      0.38362717628479,
      0.167461901903152,
      0.227912381291389,
      0.326302617788315,
      0.460264176130295,
      0.646387279033661,
      0.273417145013809,
      0.531907975673676,
      0.308744043111801,
      0.608200967311859,
      0.410510778427124,
      0.560137987136841,
      0.379894644021988,
      0.305313974618912,
      0.415362060070038,
      0.467683017253876,
      0.329834401607513,
      0.335839182138443,
      0.171248942613602,
      0.326767235994339,
      0.306575387716293,
      0.363592356443405,
      0.299669325351715,
      0.336208790540695,
      0.206171318888664,
      0.235159114003181,
      0.390639811754227,
      0.434541136026382,
      0.578814029693604,
      0.311656653881073,
      0.485337138175964,
      0.354030728340149,
      0.667684614658356,
      0.361445039510727,
      0.615391731262207,
      0.242716640233994,
      0.34992241859436,
      0.381361961364746,
      0.456121653318405,
      0.40407332777977,
      0.263292402029037,
      0.258346527814865,
      0.279674738645554,
      0.348628968000412,
      0.397078335285187,
      0.333294302225113,
      0.385015249252319,
      0.354899168014526,
      0.375501304864883,
      0.612601459026337,
      0.467011868953705,
      0.549372911453247,
      0.282762885093689,
      0.328596621751785,
      0.30554524064064,
      0.535879194736481,
      0.490863770246506,
      0.574804782867432,
      0.287923157215118,
      0.519886612892151,
      0.467856287956238,
      0.405082315206528,
      0.435008376836777,
      0.227528721094131,
      0.323836892843246,
      0.200459152460098,
      0.39292973279953,
      0.232737347483635,
      0.331945061683655,
      0.331562876701355,
      0.398579597473145,
      0.425689607858658,
      0.513894200325012,
      0.585133135318756,
      0.425843566656113,
      0.288409054279327,
      0.357233822345734,
      0.420228213071823,
      0.43599796295166,
      0.610427916049957,
      0.420911550521851,
      0.292831689119339,
      0.565833449363708,
      0.522365212440491,
      0.380906343460083,
      0.392115414142609,
      0.245412021875381,
      0.296589940786362,
      0.198061615228653,
      0.411277443170547,
      0.19181515276432,
      0.396166890859604,
      0.296648740768433,
      0.431897342205048,
      0.474167793989182,
      0.437174499034882,
      0.659870684146881,
      0.272709101438522,
      0.474506050348282,
      0.290705114603043,
      0.667530357837677,
      0.416317313909531,
      0.529851138591766,
      0.349453747272491,
      0.282229453325272,
      0.38184928894043,
      0.445216745138168,
      0.313546895980835,
      0.321860074996948,
      0.177443876862526,
      0.305319905281067,
      0.306793510913849,
      0.337385267019272,
      0.315800964832306,
      0.324720203876495,
      0.183642700314522,
      0.249287754297256,
      0.381689846515656,
      0.457128554582596,
      0.58448326587677,
      0.293721944093704,
      0.42560601234436,
      0.322199106216431,
      0.724016785621643,
      0.342787533998489,
      0.574198663234711,
      0.227797567844391,
      0.321182668209076,
      0.345380961894989,
      0.433347046375275,
      0.375016093254089,
      0.254519999027252,
      0.237848907709122,
      0.26280665397644,
      0.36567696928978,
      0.287425011396408,
      0.346002489328384,
      0.265345394611359,
      0.176057085394859,
      0.298460513353348,
      0.464858263731003,
      0.448449522256851,
      0.519540667533875,
      0.3505879342556,
      0.406286895275116,
      0.395573526620865,
      0.588587284088135,
      0.432798355817795,
      0.562357842922211,
      0.242567270994186,
      0.355257034301758,
      0.336680799722672,
      0.411698341369629,
      0.424221575260162,
      0.194021925330162,
      0.240437403321266,
      0.282297790050507,
      0.452321290969849,
      0.205704018473625,
      0.376846104860306,
      0.193594664335251,
      0.197325065732002,
      0.31112939119339,
      0.459169626235962,
      0.548774302005768,
      0.412262260913849,
      0.462411046028137,
      0.348320752382278,
      0.491259038448334,
      0.506339430809021,
      0.522704780101776,
      0.430257260799408,
      0.246065974235535,
      0.403731524944305,
      0.396315693855286,
      0.383997917175293,
      0.35789829492569,
      0.160229220986366,
      0.310055732727051,
      0.295643180608749,
      0.468287914991379,
      0.298222273588181,
      0.382439434528351,
      0.310846328735352,
      0.411294519901276,
      0.47737255692482,
      0.476588875055313,
      0.67766809463501,
      0.254406571388245,
      0.420099586248398,
      0.228948846459389,
      0.557308733463287,
      0.386407732963562,
      0.596741497516632,
      0.377422899007797,
      0.380784600973129,
      0.508585274219513,
      0.576545655727386,
      0.336798489093781,
      0.350971430540085,
      0.245219394564629,
      0.287569463253021,
      0.261889636516571,
      0.318244367837906,
      0.347019612789154,
      0.316314607858658,
      0.248050153255463,
      0.34964320063591,
      0.538785934448242,
      0.45975598692894,
      0.599471688270569,
      0.264441281557083,
      0.434433698654175,
      0.180328354239464,
      0.647650897502899,
      0.35686182975769,
      0.623554408550262,
      0.2692531645298,
      0.500763058662415,
      0.487130403518677,
      0.480496227741241,
      0.428805261850357,
      0.290730804204941,
      0.300938606262207,
      0.283681571483612,
      0.334179639816284,
      0.314374685287476,
      0.301701843738556,
      0.338368386030197,
      0.347678989171982,
      0.393288284540176,
      0.613658726215363,
      0.757669389247894,
      0.789979040622711,
      0.595160126686096,
      0.575171649456024,
      0.518961429595947,
      0.678106486797333,
      0.528854846954346,
      0.680474460124969,
      0.433306694030762,
      0.701573073863983,
      0.573753654956818,
      0.418659120798111,
      0.455301284790039,
      0.297965556383133,
      0.385210365056992,
      0.358435243368149,
      0.427683800458908,
      0.214171782135963,
      0.352717220783234,
      0.3698450922966,
      0.329747915267944,
      0.373740822076797,
      0.429776817560196,
      0.479538142681122,
      0.347342759370804,
      0.473135322332382,
      0.330315291881561,
      0.520686209201813,
      0.503611028194427,
      0.515941679477692,
      0.414462506771088,
      0.259660333395004,
      0.401975721120834,
      0.413226336240768,
      0.383007019758224,
      0.377332657575607,
      0.153871491551399,
      0.316887766122818,
      0.296174287796021,
      0.459775358438492,
      0.232251703739166,
      0.391995549201965,
      0.163768246769905,
      0.220523819327354,
      0.336846172809601,
      0.47068265080452,
      0.662551939487457,
      0.25034886598587,
      0.415987461805344,
      0.224453195929527,
      0.538909554481506,
      0.368695914745331,
      0.584920048713684,
      0.355376899242401,
      0.372870415449142,
      0.503689527511597,
      0.560469567775726,
      0.334713906049728,
      0.334005057811737,
      0.244993329048157,
      0.284029632806778,
      0.260058611631393,
      0.306880950927734,
      0.339520961046219,
      0.296183079481125,
      0.234260782599449,
      0.33909198641777,
      0.522836327552795,
      0.448170125484467,
      0.583443403244019,
      0.26632371544838,
      0.41259640455246,
      0.181785434484482,
      0.628227174282074,
      0.356554001569748,
      0.609674513339996,
      0.2548548579216,
      0.495337247848511,
      0.474106341600418,
      0.449438631534576,
      0.416936695575714,
      0.275229543447495,
      0.271926671266556,
      0.257206499576569,
      0.316524565219879,
      0.301338732242584,
      0.281280070543289,
      0.333613991737366,
      0.346001327037811,
      0.384205728769302,
      0.595551133155823,
      0.0541189536452293,
      0.00063736317679286,
      0.000415844959206879,
      0.000307657668599859,
      0.000976508541498333,
      0.000349458307027817,
      0.000283018394839019,
      0.000345062639098614,
      0.000368910230463371,
      0.000479914946481586,
      0.000719615432899445,
      0.000473353487905115,
      0.000512762519065291,
      0.000620254781097174,
      0.000539008877240121,
      0.000615501310676336,
      0.000430928048444912,
      0.000455743633210659,
      0.000576205435208976,
      0.000494704931043088,
      0.000662035366985947,
      0.000679536140523851,
      0.000333661591866985,
      0.000087197324319277,
      0.0000763620555517264,
      0.0000745568904676475,
      0.0000690380184096284,
      0.000124188154586591,
      0.000113454007077962
    ],
    "analysis_other_energy_curve": [
      0.000941083591897041,
      0.413437098264694,
      0.658973097801208,
      0.676320552825928,
      0.566186249256134,
      0.688603758811951,
      0.553918480873108,
      0.681673467159271,
      0.577232360839844,
      0.567180812358856,
      0.623134911060333,
      0.495086908340454,
      0.443225085735321,
      0.512419104576111,
      0.383388310670853,
      0.427729696035385,
      0.455077052116394,
      0.409333467483521,
      0.346113383769989,
      0.459783345460892,
      0.475446134805679,
      0.365513026714325,
      0.423906832933426,
      0.295963108539581,
      0.266289860010147,
      0.330682069063187,
      0.289999186992645,
      0.389761000871658,
      0.361076444387436,
      0.396846324205399,
      0.455210983753204,
      0.281749278306961,
      0.30273625254631,
      0.244073331356049,
      0.295311897993088,
      0.340532064437866,
      0.420373290777206,
      0.327136248350143,
      0.285845994949341,
      0.344052761793137,
      0.381104022264481,
      0.352246671915054,
      0.375797927379608,
      0.277641445398331,
      0.281240791082382,
      0.267409473657608,
      0.275596290826797,
      0.384063154459,
      0.280439794063568,
      0.354130178689957,
      0.380300760269165,
      0.335148453712463,
      0.384725242853165,
      0.427340745925903,
      0.242280870676041,
      0.272088378667831,
      0.253960609436035,
      0.346106648445129,
      0.335669815540314,
      0.423434674739838,
      0.302880525588989,
      0.32272806763649,
      0.345086961984634,
      0.38868710398674,
      0.387500375509262,
      0.367519706487656,
      0.288433641195297,
      0.284467309713364,
      0.308091670274734,
      0.418387591838837,
      0.378022432327271,
      0.326874554157257,
      0.405792623758316,
      0.402066946029663,
      0.42068287730217,
      0.354381650686264,
      0.405725032091141,
      0.284638822078705,
      0.304064750671387,
      0.323560863733292,
      0.333375096321106,
      0.385706603527069,
      0.428768128156662,
      0.310522586107254,
      0.301910579204559,
      0.348831623792648,
      0.366394251585007,
      0.407858282327652,
      0.308950304985046,
      0.337271481752396,
      0.260057538747787,
      0.361565887928009,
      0.36641588807106,
      0.361299961805344,
      0.343441039323807,
      0.34751296043396,
      0.425991266965866,
      0.405875861644745,
      0.389600932598114,
      0.364783614873886,
      0.275922328233719,
      0.310604602098465,
      0.273707568645477,
      0.337940841913223,
      0.4444300532341,
      0.319494485855103,
      0.298091799020767,
      0.305545151233673,
      0.432723820209503,
      0.428975015878677,
      0.363930821418762,
      0.413251250982285,
      0.425805479288101,
      0.361066401004791,
      0.410495847463608,
      0.356905400753021,
      0.364073932170868,
      0.330399334430695,
      0.307371556758881,
      0.33778440952301,
      0.354850977659225,
      0.501581788063049,
      0.529131352901459,
      0.494073569774628,
      0.28556877374649,
      0.361860513687134,
      0.347095042467117,
      0.423027127981186,
      0.333124250173569,
      0.302695333957672,
      0.237104848027229,
      0.377172350883484,
      0.353247106075287,
      0.461465924978256,
      0.559923589229584,
      0.421173840761185,
      0.334540843963623,
      0.380809396505356,
      0.40026992559433,
      0.333769142627716,
      0.275012671947479,
      0.360183507204056,
      0.324572533369064,
      0.330504864454269,
      0.525710821151733,
      0.555278301239014,
      0.407932728528976,
      0.287663638591766,
      0.378515064716339,
      0.322013795375824,
      0.381844401359558,
      0.327630013227463,
      0.256191492080688,
      0.228840738534927,
      0.354405730962753,
      0.340826958417892,
      0.507899343967438,
      0.423069208860397,
      0.405250430107117,
      0.324995547533035,
      0.349154263734818,
      0.409211605787277,
      0.339551150798798,
      0.317955046892166,
      0.384181410074234,
      0.424267590045929,
      0.354958146810532,
      0.382416099309921,
      0.259638279676437,
      0.269030958414078,
      0.260335147380829,
      0.341625720262527,
      0.379551351070404,
      0.370843976736069,
      0.271357089281082,
      0.30814066529274,
      0.372644603252411,
      0.36429426074028,
      0.455656558275223,
      0.336579144001007,
      0.348202675580978,
      0.305702090263367,
      0.329223275184631,
      0.340809613466263,
      0.394559025764465,
      0.333487570285797,
      0.278841018676758,
      0.367032557725906,
      0.408209979534149,
      0.384590029716492,
      0.336462825536728,
      0.270629674196243,
      0.243809744715691,
      0.232672810554504,
      0.360271960496902,
      0.437571346759796,
      0.314355462789536,
      0.285879492759705,
      0.318617045879364,
      0.404697507619858,
      0.368361979722977,
      0.419984251260757,
      0.338602960109711,
      0.322458505630493,
      0.349693477153778,
      0.33732682466507,
      0.345817118883133,
      0.346243560314178,
      0.326605051755905,
      0.381104022264481,
      0.333897948265076,
      0.386797368526459,
      0.423516929149628,
      0.295186787843704,
      0.300612151622772,
      0.219589188694954,
      0.28458958864212,
      0.350751787424088,
      0.436708837747574,
      0.347230941057205,
      0.299128919839859,
      0.39592182636261,
      0.418087095022202,
      0.35196927189827,
      0.394828826189041,
      0.291566997766495,
      0.297096967697144,
      0.288038104772568,
      0.324324071407318,
      0.384668380022049,
      0.314535111188889,
      0.388355076313019,
      0.378813296556473,
      0.384962826967239,
      0.388495147228241,
      0.415114015340805,
      0.295936673879623,
      0.267220824956894,
      0.252617567777634,
      0.35658797621727,
      0.358473271131516,
      0.419651478528976,
      0.306597143411636,
      0.332905322313309,
      0.387038618326187,
      0.439078330993652,
      0.440394520759583,
      0.369160950183868,
      0.44937539100647,
      0.42148157954216,
      0.356301188468933,
      0.412579953670502,
      0.387907207012177,
      0.317194879055023,
      0.329076737165451,
      0.331539392471313,
      0.389076739549637,
      0.351940900087357,
      0.522694647312164,
      0.514112889766693,
      0.375168085098267,
      0.298970282077789,
      0.419960051774979,
      0.351371228694916,
      0.411218196153641,
      0.295437306165695,
      0.243777632713318,
      0.312470465898514,
      0.296366155147552,
      0.49787563085556,
      0.511685848236084,
      0.418887436389923,
      0.299521744251251,
      0.437385767698288,
      0.325967073440552,
      0.363002866506577,
      0.332170099020004,
      0.312699347734451,
      0.366260558366776,
      0.388961344957352,
      0.439336210489273,
      0.533657610416412,
      0.463033884763718,
      0.332857251167297,
      0.332441419363022,
      0.377704709768295,
      0.418353945016861,
      0.292830586433411,
      0.268107622861862,
      0.238684445619583,
      0.321332335472107,
      0.342609494924545,
      0.370241671800613,
      0.624586880207062,
      0.462734431028366,
      0.353218495845795,
      0.39850127696991,
      0.451087385416031,
      0.51593691110611,
      0.462578564882278,
      0.411350816488266,
      0.360895335674286,
      0.377879232168198,
      0.361481487751007,
      0.332617163658142,
      0.400611251592636,
      0.264157384634018,
      0.33716031908989,
      0.241586193442345,
      0.282327562570572,
      0.31591534614563,
      0.187990546226501,
      0.307154893875122,
      0.282730162143707,
      0.210847944021225,
      0.22181361913681,
      0.218812823295593,
      0.182759389281273,
      0.166122928261757,
      0.233638063073158,
      0.348222523927689,
      0.31846821308136,
      0.360347002744675,
      0.331011801958084,
      0.371425241231918,
      0.385870724916458,
      0.386988252401352,
      0.272740066051483,
      0.290631741285324,
      0.24808132648468,
      0.341998219490051,
      0.37431862950325,
      0.397930264472961,
      0.249477699398994,
      0.285474956035614,
      0.310412108898163,
      0.419965177774429,
      0.348904490470886,
      0.351136237382889,
      0.271299600601196,
      0.253422021865845,
      0.255744218826294,
      0.392813861370087,
      0.397613942623138,
      0.301980316638947,
      0.32639279961586,
      0.324849158525467,
      0.38169002532959,
      0.342596232891083,
      0.514727115631104,
      0.517576575279236,
      0.337477505207062,
      0.28018781542778,
      0.379354149103165,
      0.339652627706528,
      0.375044256448746,
      0.260577440261841,
      0.245301187038422,
      0.30009537935257,
      0.29745414853096,
      0.471911668777466,
      0.494112402200699,
      0.427452087402344,
      0.288210868835449,
      0.398388981819153,
      0.312253177165985,
      0.358913660049438,
      0.328305214643478,
      0.319891780614853,
      0.356042981147766,
      0.367389470338821,
      0.426083147525787,
      0.554039120674133,
      0.474304854869843,
      0.305600464344025,
      0.276919096708298,
      0.360853105783463,
      0.424182653427124,
      0.30662739276886,
      0.275377541780472,
      0.234968662261963,
      0.325379312038422,
      0.330059945583344,
      0.374746114015579,
      0.582505285739899,
      0.418066054582596,
      0.324846088886261,
      0.428482174873352,
      0.503896117210388,
      0.418835937976837,
      0.499439775943756,
      0.543256938457489,
      0.425141632556915,
      0.566606938838959,
      0.578846037387848,
      0.391471028327942,
      0.589911282062531,
      0.533209562301636,
      0.382334798574448,
      0.445087611675262,
      0.542637467384338,
      0.469444185495377,
      0.485433369874954,
      0.430601865053177,
      0.464664459228516,
      0.539508402347565,
      0.433186829090118,
      0.56481796503067,
      0.653536200523376,
      0.423880010843277,
      0.414043098688126,
      0.019240016117692,
      0.00358621799387038,
      0.00148204923607409,
      0.00103984132874757,
      0.000698990130331367,
      0.000659240642562509
    ],
    "vocal_centroid_curve": [
      0.549512863835832,
      0.497598468626135,
      0.471020841328129,
      0.450134912348874,
      0.491178897361475,
      0.443622122231492,
      0.463494721192051,
      0.478582802550231,
      0.489697397846284,
      0.445124368376035,
      0.398728134294046,
      0.284228198191693,
      0.221886661000851,
      0.16911751449751,
      0.134846499061643,
      0.15071058837672,
      0.174804490011512,
      0.151426467113127,
      0.115189471088123,
      0.097035416183771,
      0.115315037681166,
      0.137113869735764,
      0.175733973459639,
      0.202415512835175,
      0.139771018410558,
      0.154089989822913,
      0.136405432824299,
      0.144543728631607,
      0.138071229425678,
      0.219692876078892,
      0.175372850358062,
      0.135472956918655,
      0.163647766773677,
      0.160845812734535,
      0.136475310403771,
      0.158262107847192,
      0.127041428536181,
      0.12692919554868,
      0.106829952852267,
      0.107611255063379,
      0.140482927596724,
      0.109055563039201,
      0.120141321386261,
      0.190079842741867,
      0.142645424036721,
      0.089513293921242,
      0.166942805789956,
      0.143430400957759,
      0.125627094372937,
      0.142736664623429,
      0.13953404045708,
      0.150100413459011,
      0.215058077663514,
      0.150749959711325,
      0.146847135837369,
      0.186643771624384,
      0.117289710336182,
      0.155170328211131,
      0.121849908504416,
      0.128484815739121,
      0.103230156032488,
      0.0991831826033419,
      0.103855073125816,
      0.152429432215308,
      0.108053472092609,
      0.125711371303853,
      0.183334138420154,
      0.139783668896531,
      0.112911154977763,
      0.21036538726848,
      0.176545941662504,
      0.155173035619787,
      0.18230442639241,
      0.123232160057381,
      0.172677038941567,
      0.186690400854258,
      0.13671642029176,
      0.168614333763232,
      0.126222270562827,
      0.131062457945726,
      0.141588828407844,
      0.130352394598614,
      0.117172926329923,
      0.105607413763127,
      0.147036568581729,
      0.160300773296298,
      0.148611026693193,
      0.19485941336391,
      0.201367704587104,
      0.124125101146236,
      0.0857016913088102,
      0.111452642315777,
      0.215372094290537,
      0.168300503425803,
      0.156819759039534,
      0.16865866788065,
      0.137753015751428,
      0.189051808433912,
      0.174357836733774,
      0.141587285848983,
      0.154051606468174,
      0.134710789087572,
      0.121030563069235,
      0.157113439416834,
      0.1258875077974,
      0.122579439566361,
      0.129706719397919,
      0.173131819620999,
      0.128047454733948,
      0.170378150308418,
      0.195118197000817,
      0.166574296090024,
      0.10206798762589,
      0.0928384794061821,
      0.138841505448785,
      0.13382674145063,
      0.142780672930247,
      0.143558000867811,
      0.111143081692877,
      0.105292570598019,
      0.161555984014505,
      0.125897873061081,
      0.143456368739342,
      0.170540922163947,
      0.14197661644284,
      0.139336848961058,
      0.153762916133405,
      0.143766110219348,
      0.152637026743117,
      0.148107580024559,
      0.1086948559477,
      0.128531056225578,
      0.142267840855759,
      0.150510307375088,
      0.171706801005036,
      0.158992284945104,
      0.13986605949568,
      0.159679987695958,
      0.130254139720154,
      0.16737072415475,
      0.138052406277506,
      0.117891262961421,
      0.126301325324411,
      0.142519033906124,
      0.121581469638534,
      0.210939694182287,
      0.194375119480155,
      0.144069649155244,
      0.162331941775307,
      0.14184921723794,
      0.153882794579333,
      0.173880626769159,
      0.148636097348526,
      0.137067966609348,
      0.161828618095249,
      0.165108315310154,
      0.185780226302359,
      0.170964283031004,
      0.152389144914051,
      0.159798966574069,
      0.16892170656897,
      0.229455227013524,
      0.176089962492839,
      0.091424640497764,
      0.101726575474326,
      0.229619304577293,
      0.316232231730764,
      0.192751109488245,
      0.121097733969438,
      0.142179881057917,
      0.0956396556612244,
      0.145774192433578,
      0.107988009033348,
      0.153223896249169,
      0.150760391448751,
      0.152608963624483,
      0.140735764570021,
      0.186690850476149,
      0.158992922454317,
      0.180625631192276,
      0.135753012272367,
      0.355181950394942,
      0.119273180010705,
      0.153884172812621,
      0.240426948910027,
      0.144749890877809,
      0.0973474485290496,
      0.124557565804184,
      0.278095406090423,
      0.251311750313713,
      0.182723201969977,
      0.12318783523902,
      0.145101000504918,
      0.0996203508936631,
      0.151113812679018,
      0.0935934973952433,
      0.178950906741919,
      0.157352075260051,
      0.137110138808851,
      0.167127834788854,
      0.175047453806509,
      0.165832177501476,
      0.160638253375593,
      0.20880654193312,
      0.272894684147136,
      0.136426186066747,
      0.101723780303124,
      0.124836103308181,
      0.183905037128762,
      0.136443982376694,
      0.147610393697513,
      0.244886218586866,
      0.102527596847648,
      0.11658294180699,
      0.152751411203968,
      0.0935318890285708,
      0.211134350568073,
      0.14581116153262,
      0.135284029121243,
      0.124271850302568,
      0.136064775132716,
      0.21518210266091,
      0.187719156331714,
      0.130468424755291,
      0.11251906334483,
      0.152990793443625,
      0.0992364524528263,
      0.113116352958616,
      0.208963495221245,
      0.111070743658714,
      0.14762095133027,
      0.19091494299374,
      0.126271791377119,
      0.212467801344516,
      0.167164411349301,
      0.0954028215665187,
      0.143687474773596,
      0.135172959601873,
      0.0939609406316694,
      0.233148534943513,
      0.138290202494557,
      0.109390252678841,
      0.128475942898431,
      0.138773992705425,
      0.210462345910636,
      0.184610379661867,
      0.133957562544167,
      0.108623123957634,
      0.147863239098694,
      0.095584227943699,
      0.187583918084931,
      0.177670946149462,
      0.132267481994273,
      0.164326720534996,
      0.149498331273586,
      0.154844330214773,
      0.127209564740378,
      0.20437507648636,
      0.154499423584651,
      0.183724714145397,
      0.183100916517924,
      0.143909735859061,
      0.160010219712071,
      0.123759897379544,
      0.162497660836608,
      0.174764837413639,
      0.165370534724334,
      0.131492066353388,
      0.193467263405694,
      0.105636222969573,
      0.198666921443368,
      0.18227394567461,
      0.151316412131557,
      0.152052064130061,
      0.150471759668223,
      0.140873123534666,
      0.149622597130646,
      0.143154475370468,
      0.108899057942049,
      0.115337718044079,
      0.143260279051664,
      0.158021482739213,
      0.177747552757949,
      0.145845688356588,
      0.154699970544204,
      0.156354579355535,
      0.131422541675825,
      0.170995065895308,
      0.147515366680013,
      0.150005652747296,
      0.124963437988785,
      0.134004322801388,
      0.13254604380251,
      0.184611342290961,
      0.20173091067974,
      0.143880480848978,
      0.180855678692238,
      0.132566283886821,
      0.098973783527511,
      0.110703415861222,
      0.10693756595423,
      0.196675933607529,
      0.0888122712520744,
      0.123057436939908,
      0.263163898672905,
      0.166666073067719,
      0.148370618919328,
      0.0832927116257812,
      0.130169264719033,
      0.166294399469107,
      0.137794282488715,
      0.160576559390368,
      0.163650308399771,
      0.170634149285275,
      0.144785556627578,
      0.162856642465078,
      0.179326838252685,
      0.229073701451638,
      0.144595106134203,
      0.12815045319747,
      0.148039621440401,
      0.180847582844615,
      0.166549989382528,
      0.135395160118069,
      0.108930271848124,
      0.24783848291489,
      0.175571862494342,
      0.15077646311131,
      0.174342648686639,
      0.121634834187705,
      0.164968579201635,
      0.270818937682562,
      0.215995866410504,
      0.20435873586689,
      0.142889960114157,
      0.143524948982539,
      0.268906253975619,
      0.174760909791243,
      0.203189941987019,
      0.173015437709838,
      0.121923278064562,
      0.0936800987162556,
      0.114376438327837,
      0.126562519695064,
      0.1493588128325,
      0.130653300449152,
      0.125453070267761,
      0.111044985261554,
      0.145749814774842,
      0.158048175623784,
      0.192746976602842,
      0.172258715992709,
      0.132083058619081,
      0.15813495752301,
      0.135175663488165,
      0.165339246204423,
      0.144637581562425,
      0.139463295763162,
      0.131902502555609,
      0.191616443490762,
      0.10399264760473,
      0.171699829133592,
      0.170947403619959,
      0.143378027153783,
      0.142048969316309,
      0.138449014152711,
      0.139824999827811,
      0.147609064240519,
      0.109280305991728,
      0.0944695233917091,
      0.113131257796146,
      0.147483427154074,
      0.158311373768978,
      0.173395533921418,
      0.145157325719851,
      0.153829016299322,
      0.161329023965162,
      0.13399332701161,
      0.170950199106766,
      0.1398653475542,
      0.150590898758086,
      0.125291336786847,
      0.134739044449175,
      0.113766158724927,
      0.164405952808713,
      0.197612774904874,
      0.136272512285122,
      0.170662379525701,
      0.124123638678051,
      0.136527135520172,
      0.265118961320938,
      0.417670722153373,
      0.402124095891179,
      0.428399464265332,
      0.37198708333376,
      0.295343762316436,
      0.337672964184371,
      0.394457957375671,
      0.367090687728477,
      0.412260261327601,
      0.392866250938473,
      0.427443203581717,
      0.386722353462527,
      0.403858353478764,
      0.428509552869529,
      0.410066970645819,
      0.385989646688179,
      0.393709110979673,
      0.350850672262697,
      0.377447187838414,
      0.423755630428524,
      0.560745102429431,
      0.577164085249802,
      0.56972877211221,
      0.566590628831483,
      0.572416759393618,
      0.586501696957333
    ],
    "drums_centroid_curve": [
      0.518837116377065,
      0.379575841980344,
      0.313765724757414,
      0.319973126283358,
      0.32285586579181,
      0.321120827194051,
      0.333499405420555,
      0.310291248688989,
      0.325913444259754,
      0.337079197927454,
      0.314082760093708,
      0.15764039703037,
      0.10302721702803,
      0.131211852297881,
      0.0813433706364828,
      0.0804119889720481,
      0.18703039021857,
      0.114043102763963,
      0.0716421626202271,
      0.139497371529816,
      0.0908667227383053,
      0.0498853312122539,
      0.147145008618292,
      0.234932386054406,
      0.185920955274717,
      0.287470628902575,
      0.288310928658484,
      0.256112547075924,
      0.285861329621723,
      0.305772899644523,
      0.321775916840812,
      0.299748258619868,
      0.170807000498309,
      0.148575957817126,
      0.209399281748972,
      0.193145315757776,
      0.364275909282131,
      0.195915005383027,
      0.161580445541176,
      0.341459365646482,
      0.378443383290492,
      0.222403911129313,
      0.330024807871147,
      0.159215827845521,
      0.163029814451159,
      0.251879727038326,
      0.301925130175816,
      0.274588157367613,
      0.276218058847545,
      0.313716876964442,
      0.257431835638936,
      0.292745931705447,
      0.26037260875563,
      0.358183812754935,
      0.227808151356154,
      0.152964327123189,
      0.205475325709942,
      0.264321399707164,
      0.198042630049703,
      0.330673215452783,
      0.157672311049998,
      0.262951559980012,
      0.329455771359496,
      0.358481043480277,
      0.250181337810817,
      0.316351872458954,
      0.166986439421187,
      0.142238200650147,
      0.211365197807625,
      0.248824845462615,
      0.358792932333394,
      0.245447287892233,
      0.277307980276671,
      0.307991426652333,
      0.345210094171234,
      0.221155172592549,
      0.364192135547551,
      0.192080835025828,
      0.160185532591264,
      0.249842066060217,
      0.293779118934929,
      0.227806235456641,
      0.314152378892276,
      0.159445382798813,
      0.256610794673289,
      0.305612070717411,
      0.252606725304995,
      0.362273245804687,
      0.2118305933889,
      0.177925882411824,
      0.183835256878472,
      0.252860383452804,
      0.197956017866124,
      0.357328109195843,
      0.25138643850039,
      0.2547751819456,
      0.326625528082981,
      0.379213813241883,
      0.255091579711075,
      0.349957791318015,
      0.159713961808264,
      0.139530287080364,
      0.229669145471289,
      0.28901391744145,
      0.339562012414979,
      0.266797472142126,
      0.183207286739162,
      0.277742968677742,
      0.317275089497403,
      0.329179620196188,
      0.315568984189707,
      0.297831434957103,
      0.331337046232891,
      0.329160241956146,
      0.360772634263499,
      0.212626893326593,
      0.325357909066685,
      0.21290501711819,
      0.137250604858222,
      0.199272820456309,
      0.271032902998833,
      0.292026087141119,
      0.21633017669224,
      0.262956372394126,
      0.257899529777708,
      0.317915401733954,
      0.219234773152627,
      0.352796084541598,
      0.247052193297484,
      0.161999587522161,
      0.178788559855103,
      0.27035206430852,
      0.222685255484335,
      0.227566162500138,
      0.239453584945569,
      0.348173955103587,
      0.338531616075138,
      0.314042740013673,
      0.272369820348858,
      0.296944003583867,
      0.160479843723311,
      0.167071323471694,
      0.216023761279995,
      0.254986141816132,
      0.290313882870725,
      0.166571105182382,
      0.236085151118257,
      0.313176429879953,
      0.337102096241341,
      0.206192933186338,
      0.324553442022495,
      0.220589704171111,
      0.143350553265236,
      0.188386787373195,
      0.288712877792154,
      0.170362558704042,
      0.247236215329015,
      0.266105394054982,
      0.365800241830106,
      0.332814809436143,
      0.229764268830238,
      0.334379922204458,
      0.214923093161408,
      0.260422273577475,
      0.300460219176084,
      0.304742072305592,
      0.198868224707961,
      0.328212902975282,
      0.183583159028976,
      0.16448028811351,
      0.231337108026006,
      0.269365809966991,
      0.284550682176908,
      0.310172482045719,
      0.151359208101285,
      0.249140734999753,
      0.323208683902935,
      0.234561304558842,
      0.362563422277031,
      0.229720336085604,
      0.173913912116069,
      0.177039927016611,
      0.240855464443306,
      0.189522550832613,
      0.336117759364695,
      0.2446716100625,
      0.234841685318775,
      0.302415199895005,
      0.310200837866008,
      0.266552535509607,
      0.313664427144228,
      0.160270207527898,
      0.13655741441534,
      0.203665348638353,
      0.245112035827657,
      0.347389194280718,
      0.239333055602297,
      0.152101695772634,
      0.281520441386282,
      0.328243755494274,
      0.255090918390109,
      0.360717767817964,
      0.200171669449623,
      0.188153245705223,
      0.221134646317283,
      0.277142112626061,
      0.198911362976132,
      0.338548376075458,
      0.250423787755921,
      0.246303085482795,
      0.310177921299698,
      0.247826295618247,
      0.300308878476306,
      0.289896365604433,
      0.174914189736285,
      0.157749550323174,
      0.203021411792791,
      0.230503497247818,
      0.356126786264535,
      0.195938835360982,
      0.172349496209025,
      0.33638380904431,
      0.373129113225279,
      0.221015347012071,
      0.326876711504783,
      0.143097535271435,
      0.12693499165434,
      0.251151972212376,
      0.264065267649474,
      0.272214326865591,
      0.311776704844648,
      0.269500676751043,
      0.25569318797214,
      0.280956522736925,
      0.212036323769421,
      0.359302377994324,
      0.22941127856918,
      0.159979902762535,
      0.214521535865025,
      0.238864389784639,
      0.236973283483087,
      0.328416067549946,
      0.151368986331572,
      0.263104814562228,
      0.310371198649345,
      0.370479739894929,
      0.403012486055068,
      0.328565050876466,
      0.350997371102989,
      0.379253606359949,
      0.299489238464996,
      0.242228977335558,
      0.382976265462247,
      0.222715009169441,
      0.154496391605886,
      0.165776271388083,
      0.242824415623919,
      0.208434113370005,
      0.291519249666475,
      0.186650184061041,
      0.22138536428787,
      0.298609778382089,
      0.311399661564531,
      0.221183168215615,
      0.286552339044999,
      0.159673357281775,
      0.156755757602163,
      0.186835236183991,
      0.255263241317159,
      0.309208502753631,
      0.17678806748134,
      0.226405560036212,
      0.295745136327291,
      0.321961645625319,
      0.179318807178006,
      0.30904677060842,
      0.238956324928198,
      0.143738006316257,
      0.176012364393909,
      0.286341362779703,
      0.248990319410674,
      0.268842740286577,
      0.214610305800615,
      0.24773463222641,
      0.319880273785953,
      0.255334012297307,
      0.31438842605545,
      0.249352241139176,
      0.155664319508399,
      0.179999240085173,
      0.225510816096743,
      0.26885737641768,
      0.20231560920217,
      0.223210413322274,
      0.310811950321473,
      0.325650626948183,
      0.378372264172035,
      0.229601329678993,
      0.222416191361706,
      0.26282127338296,
      0.315832191794142,
      0.322229312587133,
      0.310735612662707,
      0.323464672604145,
      0.366911166466229,
      0.332997666907858,
      0.38446953331759,
      0.197439043176516,
      0.112003231143048,
      0.191985260568688,
      0.149785719789436,
      0.111509688424852,
      0.113951433622523,
      0.286097598306967,
      0.167092477441421,
      0.203608495331123,
      0.142440498498999,
      0.121102533248396,
      0.252147244916332,
      0.145192882328803,
      0.277543464509803,
      0.265847105326785,
      0.277334325093179,
      0.252194946615573,
      0.315640137562004,
      0.235134805784578,
      0.348547783479049,
      0.218093904301458,
      0.146020938392637,
      0.223911577558117,
      0.279246335220997,
      0.249133131501706,
      0.309754968954516,
      0.136953802290451,
      0.25706666801695,
      0.321006297320841,
      0.335308347552372,
      0.305149083740867,
      0.303008004231135,
      0.154495894988311,
      0.147427690029849,
      0.212072241914409,
      0.220772435044045,
      0.360262630456077,
      0.232011756791416,
      0.158349292180727,
      0.180101482050431,
      0.268913402999276,
      0.23806150779635,
      0.292414747037598,
      0.196967037755711,
      0.23933848575216,
      0.32218237514115,
      0.343334515624005,
      0.24313283885931,
      0.291768136469395,
      0.163755563215286,
      0.163687330611754,
      0.195621227958567,
      0.256364385235584,
      0.326763186181208,
      0.180294506258302,
      0.230187528666754,
      0.290293815805428,
      0.328496486365093,
      0.192163948815614,
      0.326066858094599,
      0.234531903782091,
      0.133471920211419,
      0.178332590201163,
      0.269973613429702,
      0.256525294907196,
      0.259352289891056,
      0.216845912895722,
      0.248163141150214,
      0.32328020154561,
      0.247140380064455,
      0.354979991130147,
      0.253198172023337,
      0.155203744998499,
      0.183869605417777,
      0.243980992111059,
      0.262207259261472,
      0.202737784641295,
      0.229169574759085,
      0.301076216507199,
      0.330998508271694,
      0.362129277259596,
      0.181617130556595,
      0.16422073663793,
      0.18086838144791,
      0.18560389381723,
      0.178458243197081,
      0.17384999676569,
      0.153483378520534,
      0.16527258116564,
      0.153487355597,
      0.18765067148429,
      0.203072193113257,
      0.23173024644012,
      0.230631884284222,
      0.208485078222414,
      0.194364627483449,
      0.22150321833703,
      0.193596686996471,
      0.133718259394087,
      0.133321305471776,
      0.0901491183676947,
      0.0883868664631808,
      0.111702619150317,
      0.121948347043103,
      0.252716954955264,
      0.208293753584151,
      0.363259889438818,
      0.415633481658895,
      0.426735544108985,
      0.429910665700335
    ],
    "bass_centroid_curve": [
      0.51634889239057,
      0.413536358883627,
      0.462659894742454,
      0.419644316452513,
      0.540859076883908,
      0.398323688773789,
      0.422387061418449,
      0.434937207493289,
      0.510718942119865,
      0.406981495300464,
      0.391176156631336,
      0.320270086587812,
      0.338154371908526,
      0.384388534103164,
      0.540002948344933,
      0.3758931438512,
      0.405759627931174,
      0.418740567102184,
      0.481215979070701,
      0.447437324368634,
      0.401841985304617,
      0.423872816602116,
      0.290193825368351,
      0.334054119164189,
      0.0523026615111108,
      0.0125850603211549,
      0.032199690368688,
      0.0177614478571116,
      0.0220897825651621,
      0.0173005580183024,
      0.0153457283728838,
      0.0114471649992083,
      0.034737149491061,
      0.0126870213134699,
      0.0129514253655985,
      0.0236670035825165,
      0.0126483128599121,
      0.0239511509139917,
      0.0379647762699681,
      0.0173893936270973,
      0.0104657504399263,
      0.01785729778587,
      0.0119716932779738,
      0.0306554241536067,
      0.0148386329383476,
      0.0121728838732477,
      0.027540522294119,
      0.0172101242352599,
      0.0261818506633914,
      0.026900807221626,
      0.0161133463948981,
      0.0163295283880227,
      0.017225861979273,
      0.0146199136461695,
      0.0132110224914687,
      0.0220355396897027,
      0.0148752098403241,
      0.0216836652595874,
      0.015751274234352,
      0.0125526998361102,
      0.038485362202339,
      0.0257429900854883,
      0.0148541239493354,
      0.0131290498198781,
      0.0225162762942625,
      0.00993527019311323,
      0.0203542431217068,
      0.0178194045255804,
      0.0188139167423823,
      0.0171127544356074,
      0.0131693923219243,
      0.0189721132767526,
      0.0178372803507309,
      0.0186828890277959,
      0.0154595422923734,
      0.0201394013454238,
      0.010459003665783,
      0.014053217603888,
      0.0212007335379959,
      0.0132384832421359,
      0.014507296532924,
      0.0176448669993362,
      0.0134905455597346,
      0.0280324031546504,
      0.0196651856484947,
      0.0158308431545084,
      0.0193541135732341,
      0.0126926681523037,
      0.00948433948761379,
      0.0240156719057739,
      0.0198165570707098,
      0.0171617452842023,
      0.0188686186135485,
      0.0149995447979484,
      0.0206361796017087,
      0.0161871714210418,
      0.018047670231836,
      0.0104394639753577,
      0.0129933653649941,
      0.00749243670675392,
      0.0266088668929527,
      0.0198647020983178,
      0.0196800834196354,
      0.0226352091641849,
      0.011387368888997,
      0.0245283462779449,
      0.0243879513822962,
      0.0214074483299106,
      0.0117974400638547,
      0.00835053043140568,
      0.0102523835319058,
      0.010125847376886,
      0.0153194439418353,
      0.0139811151621324,
      0.00962402792840969,
      0.0201666631533638,
      0.0119653259351004,
      0.0382896808479734,
      0.0335576892969542,
      0.0383253679556248,
      0.01104550730921,
      0.00952916232567258,
      0.0116812958708961,
      0.0213905527295718,
      0.0135265787651598,
      0.0121683663799996,
      0.0246782370777924,
      0.0104785683427206,
      0.0238857685227998,
      0.0172394270487395,
      0.0277846311053039,
      0.00882868871042349,
      0.0112168787069116,
      0.0145713379658054,
      0.0144814157005116,
      0.0119810178696214,
      0.0128797536063548,
      0.0146575591429703,
      0.0112170670138706,
      0.0200169876898735,
      0.046631171848412,
      0.0236859633332265,
      0.0208660610423798,
      0.0112596559270647,
      0.0113975861737892,
      0.0196971894437357,
      0.0244768161107531,
      0.0144732107620052,
      0.00987017162582629,
      0.0154494123742441,
      0.0125270332397915,
      0.0263367568876403,
      0.0203966217537258,
      0.015830228404,
      0.00771493868033348,
      0.018463787057064,
      0.0140967066520576,
      0.0181859560132339,
      0.0108466843827007,
      0.0135919383530713,
      0.0215814668066796,
      0.0118785461091117,
      0.025751991386793,
      0.0146830222315014,
      0.0132253065304051,
      0.00657955192788183,
      0.0178119625466753,
      0.0115756414382964,
      0.0410452213011105,
      0.0290863200921353,
      0.0179549564128714,
      0.0126844452968412,
      0.0203425828160312,
      0.0140387151279203,
      0.0444077571064315,
      0.0124293575898739,
      0.0096000863946949,
      0.0182761885889041,
      0.0181664323874609,
      0.0204663662423229,
      0.0462816394810277,
      0.0349008067966847,
      0.0149060831977455,
      0.0191194338463322,
      0.011346074704605,
      0.031385783765565,
      0.0117038669673188,
      0.0116108843006975,
      0.00957599178112105,
      0.0338953398595743,
      0.0128810571089617,
      0.0353885981397304,
      0.0235627862907237,
      0.0197138836535833,
      0.016884932998386,
      0.0115437414275096,
      0.0200732272567215,
      0.0161773997276237,
      0.0113674286579155,
      0.0121957112759652,
      0.0160702130160817,
      0.0162183498805842,
      0.0334028028303885,
      0.0406996121441462,
      0.0234016245357139,
      0.0136234042211087,
      0.0181597611136562,
      0.0105673314417653,
      0.0175362966762211,
      0.0111539676585675,
      0.0159374145032065,
      0.0156844697264341,
      0.0164309081865877,
      0.0144056361292321,
      0.0621832967732494,
      0.0202498247942007,
      0.0339472420927353,
      0.0191384597765083,
      0.0102690485115868,
      0.0154733031349047,
      0.016028662103042,
      0.0199923441204046,
      0.0123095008080933,
      0.0240915365058701,
      0.0131517957444663,
      0.0422600280465474,
      0.0358087216152872,
      0.018785597378598,
      0.0164214111554194,
      0.011749416140483,
      0.00992317474108729,
      0.0106503753778402,
      0.013493002433965,
      0.0162884641601241,
      0.0171626645056175,
      0.0151322838885221,
      0.0158650710460274,
      0.0483292351118412,
      0.018113117666363,
      0.0194427129146827,
      0.0156135866561741,
      0.00769476790842579,
      0.0220023159739303,
      0.0147691233495244,
      0.0188357826241182,
      0.0119009314578939,
      0.0167287032362602,
      0.0119525065116805,
      0.0179489542130716,
      0.0106233591640826,
      0.0133311305511819,
      0.0145646064950853,
      0.00651321097798835,
      0.0443332516661867,
      0.0162958826996114,
      0.0340793049767561,
      0.0160214391989341,
      0.0188116029605645,
      0.014017586996562,
      0.0159745712941122,
      0.0210826582706033,
      0.0131945885188109,
      0.00860632853981651,
      0.011915879772889,
      0.00999788991221784,
      0.0257714185260918,
      0.0223398470830658,
      0.0273588548525922,
      0.0227088877857962,
      0.0139022487931372,
      0.0200914421017695,
      0.021703907158959,
      0.0200083438682016,
      0.0108786952525925,
      0.0088798383638414,
      0.00905674007695079,
      0.051321109052599,
      0.0342641019469613,
      0.0441256457787564,
      0.0115448533584104,
      0.0266321116034248,
      0.0145102124075638,
      0.0256747535389827,
      0.0170987356090011,
      0.010678302084648,
      0.00830206606141021,
      0.00959389758291427,
      0.0210744184949858,
      0.0233265812935832,
      0.0262861577428258,
      0.016036441737003,
      0.0127458769326078,
      0.0153601568452016,
      0.0122093012926371,
      0.01676723952629,
      0.0116449912230815,
      0.00622928484356513,
      0.00736537869928892,
      0.00757244504780707,
      0.0101126199778527,
      0.0119184238811588,
      0.0149531332393572,
      0.00975112730930691,
      0.0143481091510979,
      0.0130988028221844,
      0.0163276437723073,
      0.00725725727767396,
      0.00585170477698485,
      0.0111371245937041,
      0.01329502975129,
      0.0167977880527145,
      0.0171708905298057,
      0.0220704805038387,
      0.0104557861997534,
      0.0214296993347492,
      0.0165983266901523,
      0.0154704045981906,
      0.0135914668185481,
      0.00962022344281962,
      0.0122029237679112,
      0.011186872240595,
      0.0245621814065613,
      0.0210219647684673,
      0.017173829855101,
      0.0161759833067962,
      0.0199501801201775,
      0.0149624744425225,
      0.024220183245733,
      0.0330225595258304,
      0.0124247758506811,
      0.0154955444673558,
      0.0225356991378128,
      0.0134956190096147,
      0.0544921630611845,
      0.0308468112029291,
      0.0148725879546093,
      0.0125522235081968,
      0.0246105029290531,
      0.011819255402144,
      0.0446787222215518,
      0.0163453412886838,
      0.0130599657833766,
      0.0127170809954947,
      0.00863054163905763,
      0.0344571243394742,
      0.0252227178030257,
      0.0321642978886226,
      0.0178706655027521,
      0.0201579415688639,
      0.0141118831596979,
      0.0138878862636043,
      0.0137983958271642,
      0.0113788143394523,
      0.00890696351860462,
      0.0171591120418797,
      0.0135422961166167,
      0.0227171345803495,
      0.0203639637279818,
      0.020730597759593,
      0.0197583029545783,
      0.0126733757673667,
      0.0152691384561968,
      0.0142058626828569,
      0.0127645627281589,
      0.0128381920687378,
      0.0155601503047135,
      0.0107245462420001,
      0.0455428347113334,
      0.0238120402541128,
      0.0471267638853231,
      0.0113967862672665,
      0.0217793763416062,
      0.00922854292607728,
      0.0160764319867297,
      0.0107333530738747,
      0.011670006513712,
      0.016256933697434,
      0.0108657726229216,
      0.0182385630972409,
      0.0244938509186036,
      0.0203230318939372,
      0.0150572000130888,
      0.0149150478207913,
      0.0147147148124037,
      0.00820285712670364,
      0.0131652243582049,
      0.0161972491743834,
      0.0104915246974839,
      0.167980096862537,
      0.40204174005122,
      0.406621044651166,
      0.372310024194625,
      0.459940048258227,
      0.382265962281907,
      0.358028516191162,
      0.307331227254795,
      0.357916415766889,
      0.377251566638312,
      0.4038472912548,
      0.386470024179637,
      0.348528610048059,
      0.428888098642839,
      0.390240005651278,
      0.371346129469448,
      0.383705655984894,
      0.406195365309695,
      0.383748703444908,
      0.406312741758961,
      0.415141415634659,
      0.373740122477667,
      0.383999983737683,
      0.396819452534925,
      0.410355768999503,
      0.407951528478234,
      0.414540618421414,
      0.495155968846998,
      0.511082954312209
    ],
    "other_centroid_curve": [
      0.466239852529778,
      0.178235070173819,
      0.0784662150179286,
      0.0773881609316489,
      0.0799152702560472,
      0.0720392101942281,
      0.0796533609262212,
      0.0756767317449111,
      0.0770662660610477,
      0.0790526547308161,
      0.0682265129013574,
      0.0847382278024019,
      0.0893709859331754,
      0.0825315543389277,
      0.0874195763590821,
      0.0826810594174971,
      0.0883816025387781,
      0.0887481686440993,
      0.0817555653144994,
      0.0845260183844386,
      0.0824193101292848,
      0.083375284280688,
      0.077147397190173,
      0.0680135565862934,
      0.0743495656971031,
      0.0748929772972141,
      0.0874586788717766,
      0.0844564159925223,
      0.0800929806222267,
      0.0782201199368455,
      0.0791475215208855,
      0.097676770740306,
      0.0959538915607413,
      0.0937216391122091,
      0.0899307965713656,
      0.0912959771291811,
      0.0856568773958202,
      0.0913091694186289,
      0.109228806146976,
      0.0925290437436939,
      0.0783490784855408,
      0.0942002923466517,
      0.0851346153895073,
      0.0878851992938128,
      0.0863364733958683,
      0.0775932166657949,
      0.0810707135215509,
      0.076376102292568,
      0.0860767381891354,
      0.0820284688387991,
      0.085423222592276,
      0.0806933793485155,
      0.0777693146138219,
      0.0896386802714505,
      0.095368055443077,
      0.0910151417620209,
      0.0955336265644029,
      0.0891323980134456,
      0.100973937366669,
      0.0878614937363594,
      0.106749206170438,
      0.109720410556511,
      0.0895565903673913,
      0.0826515923280342,
      0.0940810863839502,
      0.0872243788662662,
      0.0909607693678607,
      0.0831472281161362,
      0.0778693423302429,
      0.0870154108550067,
      0.0899540420995229,
      0.0881854234648723,
      0.0904733536774707,
      0.0852394772579825,
      0.0875472864014612,
      0.0986410742439834,
      0.101186758264143,
      0.0943941127360326,
      0.0866575639487227,
      0.0807110838612473,
      0.0874553141163604,
      0.0817441599474447,
      0.0783031751467227,
      0.0829273416198859,
      0.0911526738381769,
      0.0844169407967626,
      0.0831532561542779,
      0.0787450436151469,
      0.0851565460102382,
      0.0809070990699241,
      0.0967127471372244,
      0.078615293642022,
      0.092284796675608,
      0.0851758260593922,
      0.0870961544351271,
      0.0915064555852179,
      0.0809338199731861,
      0.0940772241234917,
      0.0921804644634926,
      0.0995923729386859,
      0.0900397655532933,
      0.0890751458722134,
      0.0900078071926698,
      0.0892242383059713,
      0.08474956391152,
      0.0906197584394761,
      0.0907896500462719,
      0.10031522748522,
      0.0849940544194617,
      0.0825747686226452,
      0.0815518885516033,
      0.0941593184041501,
      0.101762743413108,
      0.0921809855308485,
      0.0816558752006554,
      0.118441003582693,
      0.119789230097516,
      0.117696013629063,
      0.130837805749559,
      0.127801662895743,
      0.116938138361261,
      0.10863186550048,
      0.178006715040298,
      0.130771453519787,
      0.143090730722976,
      0.132166044647888,
      0.123816196492392,
      0.106975870540791,
      0.118083144692162,
      0.13604856196707,
      0.12510785012105,
      0.114940562041744,
      0.109402137930201,
      0.14535599160012,
      0.132068300636236,
      0.112954885762944,
      0.122878356553174,
      0.107990435806977,
      0.131287520885831,
      0.130555256768139,
      0.127199259200973,
      0.13093090134911,
      0.125000110304571,
      0.117308262240975,
      0.108025841197595,
      0.161546713764519,
      0.122044431018841,
      0.119781582001013,
      0.113088288511568,
      0.108877433146838,
      0.0943503489945648,
      0.103305582834311,
      0.118556003198624,
      0.118118773439483,
      0.110296674288421,
      0.0994741224681184,
      0.117275588739223,
      0.106279875392369,
      0.0904617172895921,
      0.0988909121121943,
      0.0892283331263889,
      0.0957093579804854,
      0.103619089841099,
      0.108022439955846,
      0.0900135303509542,
      0.067775198374955,
      0.0875147488760267,
      0.0864488271515407,
      0.0933793390448243,
      0.0900153239787561,
      0.0924613773762869,
      0.094677363316633,
      0.0963114981755698,
      0.0807808106692457,
      0.0823525984321516,
      0.0883906963761576,
      0.0776241221418941,
      0.0694986557200055,
      0.0792747995819604,
      0.0778760583967804,
      0.0760631758653667,
      0.0873222819486772,
      0.0778562334930045,
      0.0777742261142899,
      0.0863919303342936,
      0.0943532062365754,
      0.102497661180192,
      0.0744148870228709,
      0.0717326084853304,
      0.0856145684415541,
      0.0891798555252017,
      0.0883360686250824,
      0.0870664369976898,
      0.101696956214446,
      0.0889139436130925,
      0.0938001567369466,
      0.0802146133298028,
      0.0837079067260824,
      0.0856839332979497,
      0.0690736020054019,
      0.0814647009945564,
      0.0756271468610839,
      0.076010925862178,
      0.0826118961998756,
      0.082424126203622,
      0.0782897424759411,
      0.093835806767905,
      0.0820994328831674,
      0.0834387899475286,
      0.0812971203366047,
      0.0841180183566601,
      0.0795119066275885,
      0.09729568936629,
      0.113031866475185,
      0.0920799072460948,
      0.11211626723637,
      0.0982001884486925,
      0.09343678103155,
      0.0820179922656395,
      0.0801158809096184,
      0.0869835677666437,
      0.0785745966053537,
      0.0744517048459857,
      0.0798667736652475,
      0.0761384956698077,
      0.0806257501883896,
      0.0894015427646479,
      0.0767520438946299,
      0.0846837289942978,
      0.0927942049460279,
      0.0845637373600155,
      0.0799004877276531,
      0.0861063103600273,
      0.0844082425108175,
      0.0919357607829672,
      0.103146019507918,
      0.100744370839245,
      0.10150717604144,
      0.102352989265107,
      0.0908805077113153,
      0.0998010812113568,
      0.0847391027037272,
      0.0878345888306447,
      0.0895774811039819,
      0.0807986822285255,
      0.0801165993710502,
      0.0824045242455287,
      0.0863420239803022,
      0.0859596788461676,
      0.0951214152334467,
      0.0830331252699899,
      0.0865410152565807,
      0.115359673015511,
      0.105039056239724,
      0.126029033073701,
      0.130250607801493,
      0.124288268157128,
      0.125924324889893,
      0.13020443772445,
      0.150394232888349,
      0.133404508208974,
      0.137568438845496,
      0.121451901984331,
      0.141410160531689,
      0.11315135966584,
      0.112331779343225,
      0.12094800565904,
      0.116329088061794,
      0.113786194676456,
      0.101190663202716,
      0.13968354892434,
      0.11310514865344,
      0.108654883936629,
      0.101445243386434,
      0.125225904611217,
      0.113856267205978,
      0.108050261809995,
      0.120783287652037,
      0.111582941501804,
      0.121480455390553,
      0.110486506928343,
      0.13974502654537,
      0.120696292002473,
      0.124393479143053,
      0.127170885740016,
      0.108346162097045,
      0.102123485149447,
      0.0966987568277896,
      0.0930924363021925,
      0.10611140873809,
      0.0916265999928686,
      0.100793683269465,
      0.0980893299584057,
      0.127673242073997,
      0.0862315426583085,
      0.0820306809753235,
      0.0745481156665426,
      0.0805347659195785,
      0.0745392111103543,
      0.0802310940523328,
      0.0615339339646295,
      0.0568699643941427,
      0.0703609967276191,
      0.0675414701860392,
      0.070231343762428,
      0.0516428615618639,
      0.0626970443722204,
      0.0846956372000535,
      0.0776573603578028,
      0.0771293538632019,
      0.0716116006162057,
      0.0758044590872057,
      0.0809287167044356,
      0.0754991818899784,
      0.077487253889944,
      0.082033208871623,
      0.0844441334287769,
      0.091548766399557,
      0.080973035672937,
      0.0786816991140591,
      0.073100555320352,
      0.0784826621903702,
      0.0730453156517957,
      0.0775605587870834,
      0.0925013401391853,
      0.0855838841783745,
      0.0897203094670835,
      0.0981526199130013,
      0.0974227445825483,
      0.091559339695839,
      0.0917154477716707,
      0.0845020959717163,
      0.0828356718808999,
      0.0870182698652039,
      0.0888822898249245,
      0.0814108848665435,
      0.08180141555324,
      0.0828280819075447,
      0.0802979290572823,
      0.0798608362684873,
      0.0785898135771116,
      0.0815823497761585,
      0.0889255607696176,
      0.10543284170987,
      0.105432084938158,
      0.110019944206158,
      0.114825896340074,
      0.112229246300807,
      0.114144724830583,
      0.11976563571015,
      0.127711713257369,
      0.126365720146832,
      0.122530744716103,
      0.112439392553396,
      0.117627970890016,
      0.104402803749836,
      0.127724799744249,
      0.12813977502469,
      0.127192026875045,
      0.117462985731631,
      0.103568578227404,
      0.165182340427845,
      0.128900581620243,
      0.131773709681604,
      0.126234325848946,
      0.142575107056456,
      0.133031126725476,
      0.132041722561158,
      0.138587671251607,
      0.122729536339043,
      0.135128190814644,
      0.1139233674574,
      0.165266829181277,
      0.131463467571528,
      0.128286139858885,
      0.133470659643808,
      0.110384029537038,
      0.107088955413999,
      0.112045341873546,
      0.129576994580199,
      0.133798650878953,
      0.116436926576714,
      0.109479494652809,
      0.113933093423692,
      0.153939655721742,
      0.0939785215621164,
      0.0997505272640275,
      0.0865090000702915,
      0.133085498150333,
      0.126059215134678,
      0.13134388927566,
      0.1298638903094,
      0.126986455586819,
      0.134146252651493,
      0.142371150664408,
      0.14279003706699,
      0.154929369141531,
      0.147713584163439,
      0.144656903364307,
      0.140984265872095,
      0.13487699648309,
      0.134210550667506,
      0.141222127070054,
      0.126482506431649,
      0.128480895882907,
      0.129526811798846,
      0.122032841377601,
      0.12306249588082,
      0.120653390839877,
      0.118030900498737,
      0.12339326598706,
      0.198408407732575,
      0.286884464008229,
      0.354389565667197,
      0.384214520048124,
      0.418823101339097,
      0.419583032240663
    ],
    "vocal_pitch_contour_hz": [
      1997.57572570609,
      1823.87348868817,
      1519.89457390681,
      1476.46901465233,
      1476.46901465233,
      1346.19233688889,
      1823.87348868817,
      1997.57572570609,
      1650.17125167025,
      1737.02237017921,
      868.511185089604,
      390.830033290322,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      164.759099224107,
      302.417302818986,
      277.05504253111,
      286.302761212533,
      291.600163921721,
      209.972062628158,
      250.237067182921,
      273.514883823296,
      294.751321430434,
      288.610644848952,
      284.94803173986,
      130.040699730855,
      273.437398697125,
      320.561378628232,
      292.070023161571,
      302.397494896503,
      328.527334385576,
      98.6212644006177,
      296.222740537052,
      307.119414550018,
      260.060772405113,
      267.11929367489,
      204.495301888801,
      153.67546492219,
      301.945555848503,
      267.462223141706,
      291.382513141703,
      289.135418689962,
      200.090168405896,
      207.211058436504,
      291.711709607659,
      303.628752140352,
      278.90786889834,
      268.523459062629,
      166.440056965106,
      276.84869352972,
      341.809292580309,
      270.401327719431,
      300.874364592638,
      307.740588186191,
      112.690556335095,
      304.630170832237,
      306.197550844355,
      248.517697174459,
      266.668592265973,
      99.3589718267017,
      148.539636918348,
      273.690132995319,
      307.062060730048,
      213.385140954295,
      263.165454892908,
      158.484030083148,
      171.285257337301,
      292.860347151838,
      189.96298230807,
      266.050350379643,
      246.760400101343,
      106.242825711636,
      297.72570322028,
      355.197582021724,
      238.356146979655,
      286.874717214436,
      330.868210936042,
      165.727931295688,
      262.980593049252,
      243.221813900266,
      279.964774303189,
      282.233698091123,
      205.591232875394,
      195.306431341407,
      308.28791893237,
      293.77880183849,
      236.74846458466,
      257.17647172351,
      95.5466869381694,
      223.751130672647,
      292.251666528876,
      188.594415919784,
      267.839139121446,
      233.050273849389,
      114.077476251361,
      306.426643463958,
      315.018545165095,
      237.286855826699,
      282.548108582328,
      333.400239787304,
      178.992710282802,
      250.830949901671,
      263.194450124896,
      278.814030527404,
      261.088609003932,
      217.824479651145,
      206.174677035254,
      299.238022177382,
      40.2522053986293,
      66.270230819929,
      187.771391944092,
      251.699378533777,
      245.42665134039,
      115.963996884391,
      79.1168321633296,
      240.038665921878,
      116.053387899828,
      85.6046373674717,
      270.425220553283,
      208.528559118271,
      134.529876001729,
      145.092676582826,
      185.446499617253,
      245.698361407301,
      170.016378259643,
      102.252369054227,
      165.711509546104,
      188.713146271675,
      27.038178417688,
      243.952188728933,
      249.35018340784,
      80.4137837464244,
      187.600492992076,
      187.165831083423,
      305.07215426037,
      54.095916186029,
      0,
      0,
      268.802262547889,
      58.1853564396609,
      155.661906540068,
      252.139280128013,
      167.73000223997,
      142.652052346526,
      192.497912361165,
      257.467997410932,
      266.42363899753,
      199.6446642742,
      166.72280998499,
      238.706586185258,
      179.243366442213,
      126.126406437696,
      201.658703820468,
      324.766191006347,
      301.873786396702,
      302.250219934563,
      115.249600004876,
      122.901590097867,
      243.95572585359,
      279.118674150201,
      293.523032255943,
      300.136803483828,
      182.623061528809,
      303.896649970568,
      331.59534707322,
      178.054562906712,
      302.020117619698,
      234.62433504469,
      181.794128225903,
      264.031857019529,
      277.508758609417,
      289.151401104576,
      108.809972685207,
      242.146331142539,
      291.270587724445,
      200.206675004635,
      323.107583624816,
      301.608337076309,
      300.944689626396,
      70.2785993075315,
      189.201654891434,
      231.416050058478,
      276.494976856949,
      299.101031167231,
      301.539965701391,
      177.627960083904,
      303.053812138218,
      330.826712945203,
      173.725204897378,
      301.56748124102,
      155.704109209571,
      256.025507070636,
      261.24841964024,
      279.296333087739,
      228.422242329544,
      167.519893611365,
      149.765935716805,
      309.291348184622,
      271.508090386801,
      270.071149481787,
      297.558408357243,
      246.335207237964,
      80.3242239810114,
      307.909681061647,
      293.42147254597,
      277.836339643442,
      295.823018932441,
      140.39296673918,
      207.255855539173,
      315.239584813139,
      339.117781131966,
      284.980962800538,
      216.522226587173,
      19.2465591351219,
      284.916843668471,
      306.066838135387,
      281.894305591716,
      299.522853034422,
      237.952310914679,
      100.117172742353,
      308.404074743047,
      289.603734348222,
      261.507566438339,
      300.640700024148,
      167.611062817204,
      153.558431339713,
      298.968595179074,
      281.990653933076,
      266.845745304337,
      282.476599924334,
      92.8035131293833,
      266.506242211405,
      339.467178917593,
      318.987284419192,
      299.780224608263,
      152.741585072107,
      77.6240424940792,
      291.797622133682,
      299.686191497931,
      255.182704342582,
      288.505126666537,
      176.002437461784,
      77.6670489944527,
      274.799426127258,
      179.096009103503,
      111.794477609208,
      154.370176494368,
      231.266770359594,
      271.137872273979,
      162.138642880182,
      0,
      58.1728820596906,
      207.822262189938,
      46.9875129092944,
      235.122658032488,
      206.875357736433,
      0,
      0,
      33.804291554686,
      216.596542030054,
      199.461451972329,
      50.0154486423294,
      85.4336157907179,
      270.431435701398,
      0,
      6.09294277372048,
      298.044781134794,
      184.499585101105,
      63.7907211567484,
      217.725944725747,
      232.856080274482,
      141.780731904711,
      0,
      0,
      137.374973240077,
      186.258480477186,
      21.1863090261535,
      246.060446102447,
      218.865112720186,
      127.277236901328,
      127.127632667452,
      112.742318663891,
      264.242213056584,
      199.094369831591,
      95.2482628157266,
      170.110471459631,
      271.777030039936,
      106.039853121373,
      284.82973029376,
      211.798352853193,
      41.7849206392281,
      158.541516815598,
      139.035664314061,
      179.180852271011,
      144.880235017916,
      115.06956457418,
      110.571295975766,
      189.168750370199,
      157.912448566235,
      184.167601827221,
      180.781302976016,
      184.707635181192,
      157.594226260114,
      79.1617598742906,
      153.231677487808,
      194.141372883822,
      209.361603812603,
      187.506884092438,
      115.069376885162,
      199.127788961992,
      213.772985312377,
      91.7990524555083,
      54.890067285532,
      247.966664633114,
      141.757135583489,
      110.9488218539,
      101.061277199157,
      268.535651458303,
      179.887543156868,
      147.133299250303,
      219.578511112342,
      47.8071292564393,
      200.103341823749,
      314.354913285037,
      272.289749179318,
      274.499846575845,
      175.288294228645,
      0,
      294.105251045131,
      232.396985174299,
      154.431784484863,
      204.857321595949,
      115.208876246982,
      62.6712877450153,
      269.581823838436,
      208.016966101285,
      101.344190646975,
      162.546857691323,
      244.0990935337,
      294.592278047664,
      94.5895151110577,
      0,
      64.6283479312657,
      204.223763205194,
      0,
      0,
      0,
      0,
      0,
      40.6431617092724,
      290.420352165171,
      190.000045451792,
      82.5443840212497,
      86.4905905059054,
      256.41081745939,
      63.0943602765577,
      102.011515913977,
      297.850762655132,
      170.880046089577,
      65.7824883076496,
      266.550469868867,
      238.64645125743,
      206.771349316603,
      0,
      0,
      137.224053686666,
      148.357802396006,
      0,
      0,
      0,
      0,
      0,
      112.74099749371,
      219.405225837347,
      211.33248049076,
      112.142838609564,
      115.818499676792,
      262.008180520494,
      95.8722908260794,
      271.885791668844,
      304.809241202654,
      492.166630560078,
      1201.56680474716,
      937.913566388786,
      1198.92033405739,
      1201.56680474716,
      911.527584483615,
      1149.32476975816,
      1223.66305248287,
      904.06228354922,
      944.161371874535,
      662.480128479585,
      715.802883333043,
      749.648566437425,
      595.33210849331,
      839.333202544372,
      830.239942477465,
      637.90795783645,
      830.203199266952,
      781.423506505344,
      629.725380847582,
      983.560959562785,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609
    ],
    "vocal_pitch_contour_midi": [
      95.1920971944268,
      86.9145235253463,
      72.4287696044552,
      70.3593761871851,
      70.3593761871851,
      64.1511959353746,
      86.9145235253463,
      95.1920971944268,
      78.6369498562657,
      82.775736690806,
      41.387868345403,
      18.6245407554313,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      15.428888581659,
      62.5073145878691,
      57.1188713533792,
      61.5312276314979,
      61.8725319792681,
      53.34478651075,
      55.3927843971416,
      56.9014800490655,
      62.0334015444653,
      61.6594885010453,
      61.4138363271741,
      34.3038852507532,
      56.8927843968936,
      63.4420971964414,
      53.786949857752,
      62.5051406748261,
      62.7683559529559,
      20.2256838684916,
      62.0899232835927,
      62.7747058921783,
      53.2041693622746,
      55.5668692404387,
      52.0536539629902,
      35.0105787895941,
      62.481227631351,
      56.527567005646,
      61.8573145879664,
      60.7574863880017,
      53.6272234065077,
      43.2618937019969,
      61.8486189357983,
      62.5768798052502,
      61.0638363272254,
      60.1855754578443,
      39.5772828937856,
      57.1058278751206,
      64.5029667615234,
      52.7065150752809,
      62.4181841530995,
      56.5866062575978,
      25.9574335639261,
      62.6247058922012,
      62.7225319791423,
      51.5565150754354,
      55.5342605447923,
      27.5808312076513,
      29.1116095896556,
      54.9213888665016,
      61.746616822645,
      44.6269392932207,
      56.2471322230845,
      40.9356349460309,
      36.2779700937042,
      60.9357472575463,
      38.3669287282998,
      55.4994779361016,
      58.9247058928067,
      26.4463921987831,
      62.2225319792173,
      65.2573145875035,
      48.015726127757,
      59.6424407967369,
      60.9252212921115,
      34.9455331981284,
      55.3146953274343,
      49.274249979871,
      58.2643517272492,
      61.2051406750408,
      53.2708734672395,
      38.6625809021712,
      61.8118342139406,
      60.0207016662492,
      48.9155543277479,
      57.6728755796806,
      24.770477042398,
      47.143986997455,
      60.9031385618986,
      38.2864939457031,
      56.5732191795484,
      57.9790537190602,
      26.0574335639081,
      62.7247058921869,
      57.0605193010017,
      47.9570304755912,
      58.3882647707123,
      61.0817430312179,
      38.6689308414317,
      52.6541693623579,
      53.3628650144281,
      58.1991343359543,
      59.7681841535521,
      55.062006014907,
      46.9981630237071,
      62.3138363270294,
      8.1989691995453,
      13.6156733035975,
      39.2319743196004,
      51.7434715971467,
      50.3610347015781,
      28.0266551812778,
      16.3175036164937,
      49.0981630233741,
      26.183520520409,
      20.4994251120497,
      57.6839169447306,
      43.3662415280638,
      28.3246530680291,
      30.8895268592071,
      38.1256243805064,
      53.2953019102217,
      39.0818025197643,
      21.5581207640516,
      35.9605787894029,
      40.2231068674131,
      6.42522795620793,
      54.0951301102427,
      51.5999933362993,
      18.2910730599421,
      39.2211047543847,
      39.1971917109098,
      62.6507928487189,
      10.955147338521,
      0,
      0,
      55.6690431534665,
      14.0415884601965,
      36.2604069895002,
      52.7389519710398,
      36.0584048763482,
      29.7788290940265,
      40.4904981717133,
      53.0563432753395,
      57.4295691186848,
      46.5938151976841,
      36.0040570502689,
      50.0001651364103,
      39.6404981718523,
      25.8858662333541,
      41.0165851281582,
      61.6185277529957,
      62.4768798052647,
      62.4964450226534,
      24.2773423812917,
      24.7056032507959,
      52.2606911015456,
      61.1160102402543,
      61.9703580662125,
      62.3747058922365,
      37.9582330761839,
      62.5920971965524,
      60.9339169442878,
      37.6734504675334,
      62.4855754574373,
      48.8003369364593,
      38.8798004066097,
      57.3121778143507,
      59.0446147098768,
      61.7073145879917,
      21.9342077205183,
      50.2088607885521,
      60.8683559532047,
      38.8908417717095,
      63.5768798051195,
      62.4616624139626,
      62.420358066143,
      14.8285449818048,
      39.3058873630689,
      49.5784260060375,
      60.9442711098481,
      62.3116624139854,
      62.4551406748335,
      36.69318748494,
      62.5442711096027,
      60.883916944296,
      36.4497092241092,
      62.4594885009194,
      32.4915289721386,
      54.9103475014072,
      55.1799127187634,
      61.1203580663417,
      48.4133804147815,
      34.1478789111514,
      31.169961641773,
      62.8942711095528,
      54.8235627795558,
      54.7453019100015,
      62.2225319792159,
      57.8770516058889,
      15.3698493295565,
      62.8181841530417,
      60.9705298662364,
      56.1473040229673,
      62.1007928488024,
      36.0515395375393,
      43.2684154411254,
      62.179225518239,
      64.4138363267469,
      59.5272234054504,
      41.7013677367737,
      4.03209329543711,
      61.4464450228155,
      62.7116624139269,
      59.3272234054835,
      62.3290537183317,
      58.2529667625022,
      21.432033807549,
      62.84427110956,
      57.8080017880655,
      54.2626932144185,
      62.4051406748405,
      41.5791132067841,
      30.3810030069852,
      62.2812276313848,
      56.3712170664143,
      55.5212170665368,
      61.1855754576586,
      23.6663010163425,
      55.5059996752342,
      64.4573145876073,
      63.3486189355867,
      62.3420971965909,
      28.2183031288104,
      17.1890709469288,
      61.8660102401416,
      62.3160102400764,
      52.9128650144928,
      60.7009646488827,
      44.8851195458253,
      18.1041165382354,
      58.8989625359841,
      36.780144006666,
      24.9467357987288,
      32.402398537371,
      49.5023390495388,
      55.8038257621423,
      33.8413571720654,
      0,
      12.1723668428145,
      43.3097197889447,
      11.4441059733705,
      52.601823649468,
      43.2705893541648,
      0,
      0,
      6.84696708657555,
      44.8225914671035,
      45.6635522150767,
      11.6593233646359,
      17.660810077291,
      55.7429561969366,
      0,
      1.33026298253833,
      62.2442711096484,
      39.9535416500656,
      14.4263710688248,
      45.8485066236024,
      47.7135522147557,
      28.73769654623,
      0,
      0,
      28.4963921984375,
      40.0622373022226,
      5.11018236497148,
      54.2625214145579,
      44.9465045105646,
      27.8811748072287,
      26.9052596507236,
      23.1557750508964,
      55.3994779361158,
      45.6483348237734,
      21.1211642423822,
      36.2192744415379,
      56.8123496142942,
      23.6947336857334,
      58.5534821619882,
      43.5640676149899,
      11.8830646082628,
      46.725736694113,
      40.1093761899042,
      53.4355754591719,
      43.8152107291183,
      34.6752807815446,
      32.662580903283,
      54.3790537198147,
      45.0739063809832,
      53.1096603024868,
      51.9837451459963,
      53.9551406764391,
      46.6409540854366,
      13.2158451035512,
      43.0133804157833,
      53.8770516066851,
      52.6188713541495,
      51.781743032769,
      30.6109223900263,
      54.4444429108795,
      52.9471322236518,
      35.0200739570634,
      22.4721355570222,
      53.460519301496,
      29.7288290940335,
      28.5743094683044,
      21.4972511988419,
      57.5991343360434,
      44.2135522153523,
      41.667900041946,
      56.9420971975248,
      12.3895863472847,
      39.9298004064563,
      60.0730473791796,
      54.8039975621759,
      57.9100039012211,
      44.8503369371325,
      0,
      62.0247058922881,
      53.3299127190691,
      44.7456455114966,
      55.7116624151782,
      29.7719637552151,
      15.2653297036223,
      57.6252212925669,
      43.3358067454598,
      20.5365534336404,
      33.8522267372832,
      50.3197303537534,
      60.0859190575417,
      20.1430751728292,
      0,
      13.5243689557843,
      42.1490220237682,
      0,
      0,
      0,
      0,
      0,
      8.22070832997701,
      60.8248776923408,
      43.1791132064928,
      19.3778577816487,
      17.7195057294566,
      52.9911258840453,
      15.29141666014,
      24.3619531901219,
      62.2312276313897,
      35.3216201545821,
      13.5895863470793,
      55.5299127187057,
      49.0307717190345,
      42.2925002846173,
      0,
      0,
      28.4876965462649,
      31.0743094678763,
      0,
      0,
      0,
      0,
      0,
      23.1557750508964,
      45.9528544496729,
      48.3045129627651,
      25.0228227552292,
      24.3077771638963,
      55.2581735883123,
      22.0927315728067,
      55.8473040230055,
      62.6420971965454,
      55.7459891098113,
      86.3920971946795,
      67.5742499784462,
      86.3529667598984,
      86.3920971946795,
      65.6939869959532,
      82.6359190557804,
      86.6790537164091,
      68.5001651348903,
      79.2011364472331,
      65.5847759436919,
      70.7842605433643,
      74.2143517257566,
      57.3725914659528,
      80.1681841514762,
      79.9790537167036,
      62.3438151960724,
      79.9790537167035,
      74.875221290939,
      60.813552213562,
      82.2616624122647,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      95.1920971944268,
      95.1920971944269
    ],
    "vocal_pitch_confidence": [
      0.104054750951491,
      0.0862773458292352,
      0.0798703662045938,
      0.183045812573354,
      0.101673746842201,
      0.108567531689604,
      0.0906436326384175,
      0.0871757892624,
      0.0883256732854983,
      0.0639077558666841,
      0.0460112236277058,
      0.0214623525561456,
      0.0178229992978352,
      0.0113365411681605,
      0.0126642861091867,
      0.0118764988797867,
      0.00982085929319941,
      0.00921764828733494,
      0.0106721566679988,
      0.0104652898959354,
      0.010016696392228,
      0.00924840217115428,
      0.00980331606005813,
      0.0129226024647055,
      0.55538394240882,
      0.179601071625561,
      0.395780170879868,
      0.447368900591058,
      0.365364165643788,
      0.15473869294522,
      0.397380248632207,
      0.452497046563464,
      0.337855448853674,
      0.398294425057015,
      0.215741631269547,
      0.326178632319943,
      0.583874163581942,
      0.490490552099432,
      0.507102073215921,
      0.494859805225342,
      0.130902462423315,
      0.518975154398009,
      0.651898033337382,
      0.420296194933057,
      0.330553402991055,
      0.275426682469962,
      0.132547936499822,
      0.595961062457116,
      0.214442352125629,
      0.453103665419533,
      0.389209729908659,
      0.361983133349491,
      0.140793660843748,
      0.459194692001869,
      0.448066879746674,
      0.269137463686893,
      0.446821097159502,
      0.151674008790932,
      0.525739448715114,
      0.553124348127168,
      0.501631625310406,
      0.54727832831043,
      0.378230446972342,
      0.0993902118311995,
      0.589583225977563,
      0.629072614686494,
      0.368506248260991,
      0.40269304039466,
      0.132032114810654,
      0.278464991170039,
      0.363208041460605,
      0.351506986702026,
      0.249261181627566,
      0.5696025147446,
      0.312873360116147,
      0.0913387509315939,
      0.263753560328213,
      0.10613665836197,
      0.414555433708328,
      0.38891836423789,
      0.188934567042591,
      0.483013771303685,
      0.599508792946057,
      0.26477604904315,
      0.419755470093237,
      0.3919432080008,
      0.136000895264631,
      0.171290152825342,
      0.391868145730587,
      0.361516767262842,
      0.606891583709808,
      0.440135634183209,
      0.360202206373492,
      0.334036372240844,
      0.365002360952592,
      0.332925763238885,
      0.461820616557856,
      0.194605796221155,
      0.121355840090614,
      0.252624074593401,
      0.174905128591403,
      0.404535384687129,
      0.469307657029532,
      0.125117212197231,
      0.57266422830388,
      0.460456724666,
      0.274732383869562,
      0.437361340320686,
      0.528224916801112,
      0.169450519148613,
      0.115429446009677,
      0.555671402736555,
      0.411248443697253,
      0.516530663119443,
      0.343879795411565,
      0.0170017694088599,
      0.0174203250353366,
      0.0100699915184764,
      0.0120421204085711,
      0.0479478606114941,
      0.0634799413633762,
      0.0417685534645492,
      0.0306589970425277,
      0.0102062153139121,
      0.0385764212455071,
      0.010119900455654,
      0.0101634771620087,
      0.0117588597498912,
      0.0117164941902596,
      0.011484916880811,
      0.0288889512549712,
      0.0171775925793773,
      0.0534984385981321,
      0.0387467058576329,
      0.0113046754288205,
      0.0195453382624295,
      0.0204966378233476,
      0.0103240926856296,
      0.0106507663577882,
      0.0128081571234489,
      0.0100675670564315,
      0.0359705496344104,
      0.050083840711684,
      0.0502459993443603,
      0.0152496134009551,
      0.0107041740912528,
      0.0105167790140362,
      0.0448234667639807,
      0.0100219225351454,
      0.0101217808229655,
      0.0106662821955916,
      0.0126187377912359,
      0.019322765170924,
      0.0133104767198668,
      0.032622844095031,
      0.0538719511685209,
      0.011101933463277,
      0.0101631213590601,
      0.0235459185815916,
      0.0100245123230113,
      0.054075565855161,
      0.373790399618736,
      0.429069221653768,
      0.705441356813042,
      0.772760371638808,
      0.0904870394336403,
      0.0611584080804675,
      0.468049269066402,
      0.606808964408917,
      0.493212445195893,
      0.708181163275238,
      0.235717209183842,
      0.682355449480382,
      0.469523779104573,
      0.10801334654673,
      0.621145358967387,
      0.390425893546679,
      0.291953577967193,
      0.280737757165095,
      0.329750647537292,
      0.561232742980624,
      0.0957272243324601,
      0.548052157552033,
      0.285428388204456,
      0.313473737195412,
      0.552544826612009,
      0.724852130318236,
      0.644684888713651,
      0.0117351437533146,
      0.225139602288702,
      0.469002679619447,
      0.543291633560789,
      0.561514220374545,
      0.665368873087931,
      0.196336810230094,
      0.75064798108129,
      0.205616723630578,
      0.25752712519878,
      0.589082830409387,
      0.224502132640953,
      0.317147201497427,
      0.276537403706823,
      0.492391441397176,
      0.358681456230425,
      0.287428009833779,
      0.359916252173254,
      0.708378729573246,
      0.335333855271305,
      0.263034917037257,
      0.434007095911797,
      0.191181691417151,
      0.0442320753211938,
      0.669496329266145,
      0.306043105909953,
      0.236103382364039,
      0.388695584227901,
      0.157264186855611,
      0.132234552953035,
      0.501977221710944,
      0.429966543406559,
      0.43603148928577,
      0.321724552731295,
      0.0264407801674903,
      0.294937684014573,
      0.627813558871139,
      0.294805514476615,
      0.519767788047854,
      0.210275767092587,
      0.154692243231458,
      0.645238340033409,
      0.285218280951528,
      0.212584366824461,
      0.439143864495539,
      0.19617557284259,
      0.232272812259631,
      0.573055849558337,
      0.303637909483109,
      0.160022641321375,
      0.404737287756871,
      0.106891687639274,
      0.144632815770482,
      0.598436436602719,
      0.407513681656787,
      0.579645017705838,
      0.13082343358653,
      0.140274319248868,
      0.362605769093177,
      0.555731894176387,
      0.38023443199812,
      0.551255662393361,
      0.138653981884124,
      0.0166308835391603,
      0.0131559893062898,
      0.0127086910029535,
      0.0100708293210855,
      0.0655630522866624,
      0.0379252600423173,
      0.0546448126776372,
      0.0151543397092451,
      0.0103123891198198,
      0.0127576764759788,
      0.037712270845678,
      0.0100555517823762,
      0.010125586242742,
      0.0109997264246558,
      0.010419185441788,
      0.0100089971424822,
      0.00968354839213628,
      0.0171763167496595,
      0.0271159312304426,
      0.0104415754505677,
      0.0108274766530391,
      0.0344884269009692,
      0.0107328468516478,
      0.0100821955798858,
      0.0125571164957432,
      0.0110250827367698,
      0.0116612297344671,
      0.0457835130079976,
      0.0523526250263912,
      0.0125559124184419,
      0.025034084887072,
      0.0106778218433017,
      0.0390568983068329,
      0.011059573980071,
      0.0100587169594352,
      0.0107537411926837,
      0.0101534386510069,
      0.0143802407946974,
      0.0112136400053386,
      0.0105260430040727,
      0.035356968974981,
      0.115447025655309,
      0.0101002928225793,
      0.0103863149574753,
      0.0183177474366238,
      0.0101171620087594,
      0.0191833630502348,
      0.0120530455239702,
      0.0462414877183752,
      0.294930861942488,
      0.170420834683663,
      0.298195712561641,
      0.195179980861206,
      0.164884046453876,
      0.148224604906256,
      0.144338697089871,
      0.312613196466239,
      0.200180900378778,
      0.21790012473219,
      0.291080758312198,
      0.258978613135388,
      0.0576920192673226,
      0.262127145146771,
      0.121407128796671,
      0.178108128205613,
      0.467529213764546,
      0.272565646110791,
      0.400036773381043,
      0.176402634038939,
      0.0368406562118922,
      0.0368089716041413,
      0.184157799764871,
      0.191250522736682,
      0.0517014795899893,
      0.0139729883925387,
      0.0864940334407813,
      0.0210942143643958,
      0.045163016329588,
      0.170262123152759,
      0.0211108197513575,
      0.197136809352281,
      0.385544480763553,
      0.169693230793952,
      0.225694739110925,
      0.11241165871151,
      0.010001818580319,
      0.476285963260722,
      0.20269513975848,
      0.0148462229258575,
      0.124500419122991,
      0.0879638791378002,
      0.0117204804046284,
      0.0189494874255514,
      0.0196023860098043,
      0.0107916264243447,
      0.0178865624871691,
      0.0377487212786015,
      0.0646320768232247,
      0.0126063333637598,
      0.0107083137214002,
      0.0187392050740187,
      0.0444039932707512,
      0.0100383143351658,
      0.0102401772551724,
      0.0108654136471191,
      0.0147116816600448,
      0.010490431065868,
      0.0209466676401967,
      0.0247059909806762,
      0.0286776814589245,
      0.0158826229175206,
      0.0107407059634441,
      0.04049576070603,
      0.0101348322707284,
      0.0100734395713541,
      0.0129762297609055,
      0.0146719355979473,
      0.0125104258318132,
      0.101516228405376,
      0.0629876877021564,
      0.0117792959637948,
      0.0213243286949538,
      0.0100995938155618,
      0.0317798209453818,
      0.0111575363935496,
      0.0100297414946106,
      0.0102741294112693,
      0.0102485562313893,
      0.0134305817304916,
      0.010473047595876,
      0.0110497692331508,
      0.0256271749447085,
      0.0256106450010057,
      0.0107971916366343,
      0.0108625697773762,
      0.0217511024911514,
      0.010221948388951,
      0.0472329619286965,
      0.100362857909721,
      0.116476178980782,
      0.34381996967769,
      0.16999289447253,
      0.327846017001168,
      0.199643450044409,
      0.0104225193687999,
      0.0387817225980745,
      0.273598258451062,
      0.0862371192029911,
      0.186248013002615,
      0.309137522246424,
      0.253864296961377,
      0.151959684985783,
      0.149983703968555,
      0.282400014945603,
      0.308926759041314,
      0.278767403273296,
      0.189882191510714,
      0.0951256560855867,
      0.194039004703075,
      0.362271684396025,
      0.264804842941908,
      0.126378094803063,
      0.135334821346811,
      0.122246373153607,
      0.128809456556683,
      0.132279625151672
    ],
    "analysis_vocal_vibrato_rate": 8.52272727272727,
    "vocal_vibrato_extent": 9.29742689236809,
    "vocal_vibrato_presence": 0.975003782136571,
    "bass_pitch_contour_hz": [
      398.994190148538,
      208.170881816629,
      268.887389013145,
      190.82330833191,
      398.994190148538,
      78.0640806812357,
      190.82330833191,
      190.82330833191,
      346.951469694381,
      184.06275307557,
      123.755693267332,
      69.3902939388762,
      130.106801135393,
      233.6582663554,
      390.320403406179,
      182.14952158955,
      216.844668558988,
      276.156855278402,
      320.930109467302,
      312.256322724943,
      156.128161362471,
      286.234962497864,
      42.9772394144896,
      214.018308573486,
      54.6741817295803,
      73.8886641744085,
      74.3758168999036,
      74.2251844328069,
      71.1744131268551,
      74.1059028405121,
      72.6034627890987,
      73.8168580447679,
      64.794227453284,
      74.1607717592611,
      54.9240157997675,
      34.8216471986494,
      50.0837951144785,
      39.1583800715964,
      24.2636883120174,
      44.9047478564649,
      49.9324691819428,
      42.6063098878838,
      48.8558765290668,
      48.4071479240497,
      43.4733033485726,
      51.8415505723549,
      54.0975031195433,
      69.1731518157855,
      74.4426310602764,
      73.9197270078163,
      73.8064335404182,
      73.7330660814733,
      74.1597928703036,
      69.1961858669511,
      74.0018032941151,
      66.0638570023659,
      67.4938035014245,
      45.4201135099685,
      46.2240081380139,
      49.9516055157148,
      27.0693813014097,
      38.4545392145225,
      45.7857331525584,
      46.7594963771799,
      39.4944235756791,
      49.9013909699601,
      46.4816688747786,
      46.2259148016911,
      52.7561625238363,
      60.5442958221378,
      73.9160356888367,
      74.2992098411759,
      74.1226923559173,
      62.8074291735643,
      74.0465958228347,
      74.4330922853844,
      70.8392758833406,
      67.3640988190815,
      58.168001518689,
      64.2402170462527,
      55.5736364128761,
      46.9898553025057,
      50.0714967801861,
      48.0370024517285,
      45.1294221585945,
      50.2083882471405,
      42.5581141394802,
      43.597923950064,
      49.8845432165828,
      34.5199956244575,
      42.2747736777708,
      57.8284884567674,
      60.9243873488097,
      74.2802997316139,
      74.4105891643548,
      74.2455971724993,
      62.7134374306565,
      73.878932377399,
      74.3963316532563,
      73.9629773303128,
      51.2202398513246,
      74.3399213623318,
      57.867424818729,
      42.2967220306687,
      50.0270096921383,
      49.9662849982142,
      30.3140400165983,
      44.1508810639498,
      49.9277935389672,
      50.0585617475981,
      42.4248524385022,
      49.9454647597205,
      42.2314526974207,
      49.5184008743937,
      58.9560093411186,
      72.5488144962314,
      73.9253382302319,
      57.8807544817433,
      71.7704355978103,
      58.2036341229886,
      73.779048208058,
      70.8175785366083,
      73.8242398359291,
      64.2229720052596,
      74.0377240889547,
      48.4667144731649,
      39.816870966191,
      50.0026424956513,
      49.8084278727201,
      50.0014566624286,
      41.5484333078461,
      49.9891793095271,
      43.5214927591423,
      45.697223838914,
      49.8512467158692,
      50.2625017036818,
      51.8055582995922,
      59.1910557223163,
      74.0000831302009,
      71.0631194324556,
      61.1683981223099,
      71.1780212879927,
      68.9920418827574,
      73.9556991520214,
      70.7808171026798,
      74.1710152997222,
      67.698499446005,
      68.4095112610661,
      55.6871052753193,
      51.3204152838716,
      50.009372328951,
      48.0700840356354,
      50.2729278334215,
      48.1690260206279,
      49.8636672262264,
      40.1491920903149,
      50.0784998571065,
      42.2866650950151,
      49.958394282871,
      51.7225505189011,
      63.6995806709788,
      73.8694149022928,
      72.3070901895868,
      73.8611867459509,
      67.3820108793281,
      73.916143156586,
      74.4472271627015,
      67.308590408204,
      69.2876917197093,
      66.1762330014011,
      63.0133794103564,
      50.7548489273559,
      49.812852384478,
      50.1492673795906,
      46.7747361176477,
      47.3014483646068,
      50.0343435999552,
      43.9007118345459,
      43.9164111839108,
      41.3343097578114,
      0,
      20.7157142798437,
      56.3229312955767,
      67.1404700594725,
      73.8603802579006,
      74.5001477724634,
      73.917706330838,
      65.66725829074,
      73.878771020586,
      71.1081058428413,
      73.8792008915832,
      64.902221333366,
      74.4518059779697,
      51.9850600331449,
      44.5514620031304,
      50.1295189066681,
      50.0271721741434,
      43.2049978423454,
      49.7078056381956,
      44.4770921602417,
      50.1014322817119,
      43.306717358711,
      48.0888690233795,
      26.561318873403,
      51.3187653353673,
      59.2478084710936,
      70.5455992109621,
      73.8792535427095,
      74.019931140554,
      73.8145102026389,
      65.7778165568819,
      74.1746341508268,
      67.7859380884239,
      73.9478389824253,
      58.1722542624938,
      74.5691955885995,
      43.8881731204037,
      42.0372664498996,
      50.0839398277687,
      49.9267971465394,
      44.465450091643,
      47.0163323247825,
      49.9640189321984,
      25.5752436551623,
      33.676282436553,
      17.4050067098266,
      0,
      45.4046667269092,
      59.5702749177338,
      74.000513627338,
      73.8194441533007,
      73.7989424932869,
      73.7686903333033,
      67.3656799514841,
      74.1533382351483,
      69.136483210997,
      73.9873374668491,
      59.5025799188659,
      64.507546730918,
      47.3304886860636,
      38.3593749500621,
      49.9897527209619,
      24.6841437729282,
      45.1588084070273,
      50.2707849921545,
      49.9898340461098,
      42.696511108933,
      49.9205958791371,
      44.5053252821969,
      49.9580632472382,
      52.9723587510501,
      58.1894980777915,
      73.8788249096498,
      56.4108441242796,
      74.0319900271181,
      65.2574179191602,
      73.9354438472329,
      74.2746171847077,
      67.4956004040726,
      73.9831405832967,
      65.7994653946419,
      56.252816655097,
      55.6261925858812,
      45.7579344779987,
      50.0018545782185,
      49.9114133368488,
      50.1672954547792,
      35.1034168018441,
      50.2260557167244,
      42.4635811542227,
      44.8230610975963,
      45.6958937656787,
      33.9426873378791,
      56.318462612012,
      63.5648674641299,
      73.8886093524122,
      51.6412692583581,
      69.7566307539655,
      65.0087240503466,
      73.9439971967233,
      71.4270159416623,
      73.8515060463273,
      66.2069788828649,
      74.2252364559535,
      60.3716231804128,
      54.1610800246444,
      50.0081675867118,
      46.9368848288302,
      49.973067399,
      50.3661883705194,
      50.3149236079931,
      50.0210190956249,
      45.8025266577657,
      49.7836360526512,
      41.202761930279,
      49.6186637759171,
      58.9111940082208,
      72.5066649537508,
      73.8789320670209,
      65.6867238215719,
      73.7398752535171,
      64.3437776028489,
      73.8510777165054,
      69.1608549185733,
      73.8418829550252,
      65.8920116745562,
      73.8695759487277,
      56.1280094456818,
      47.6327164595304,
      50.3277377659796,
      42.2835991252251,
      50.4108071742671,
      42.7571722158229,
      49.9953505762678,
      39.8120984100775,
      50.142625403523,
      50.0209114125423,
      50.263208364247,
      52.1478722928655,
      54.6449366560279,
      73.8883417657873,
      74.2376678074132,
      73.9351112197693,
      73.789765457193,
      62.7410771130541,
      74.2831290278352,
      70.7599431549474,
      74.3029729144164,
      66.269005338154,
      69.612679039321,
      55.8673444292515,
      41.5400371385971,
      49.9577772125006,
      16.4041710873538,
      6.55565956129756,
      50.1900085407159,
      49.8175558062939,
      41.7454403506193,
      49.9709168518029,
      16.2160109614986,
      46.0507230930742,
      54.3984471912932,
      61.8138590992928,
      73.8880738705718,
      56.4544105668322,
      74.3903637039258,
      64.9664561344506,
      67.6897701263387,
      74.3783578069263,
      70.6726639486309,
      73.9743751528558,
      67.3790099174825,
      51.3107988099288,
      55.6405770631485,
      32.6534787121435,
      49.921465180903,
      45.9177719522484,
      50.0530290938069,
      42.5171568434608,
      49.8796241287114,
      38.1250611072322,
      50.0402929817622,
      48.327835505992,
      46.7874938663257,
      53.8205671084278,
      60.8053644623971,
      73.9816359953643,
      53.3910583609133,
      74.1191497094638,
      66.5438801375098,
      73.9253385424081,
      72.9337459195636,
      73.8235968774012,
      65.7583550750787,
      73.945878410658,
      57.593108297593,
      41.2465149677107,
      50.0016341473482,
      50.0181723564706,
      38.3244610229326,
      47.9617238183284,
      50.1600978494959,
      50.0514106079643,
      44.3689101941558,
      49.8267751182767,
      47.6557782135695,
      48.6738849307279,
      58.9487112063129,
      121.289039040393,
      346.951469694381,
      398.994190148538,
      372.773576045487,
      364.199416241114,
      398.894563210552,
      294.908749240224,
      173.276480971218,
      372.773576045487,
      364.099789303128,
      312.52877984539,
      391.888402200264,
      338.277682952021,
      390.320403406179,
      398.794936272566,
      286.135335559878,
      346.951469694381,
      329.603896209662,
      286.234962497864,
      398.994190148538,
      398.747264277135,
      311.662844044152,
      346.951469694381,
      311.758188035013,
      398.595682396594,
      346.604916884992,
      338.277682952021,
      398.994190148538,
      398.994190148538
    ],
    "bass_pitch_contour_midi": [
      67.3063705869154,
      35.1163672627385,
      45.3586410477039,
      32.1900033241769,
      67.3063705869154,
      13.1686377235269,
      32.1900033241769,
      32.190003324177,
      58.5272787712308,
      50.4624768552348,
      31.4253398981214,
      11.7054557542462,
      21.9477295392116,
      39.4820001271053,
      65.8431886176347,
      30.7268213548962,
      36.5795492320193,
      46.758779538731,
      54.1377328633885,
      52.6745508941077,
      26.3372754470539,
      48.2850049862654,
      7.29851854205799,
      36.4491144494259,
      28.1829695704426,
      38.110718421403,
      38.2237618995972,
      38.188979290922,
      36.5691370911039,
      38.1607184213737,
      37.3540581910292,
      38.0933271170659,
      33.2642353002023,
      38.1737618996267,
      31.8233464286719,
      20.8431466818629,
      31.3781097306519,
      24.5397682958408,
      15.1117424608835,
      28.0578520566368,
      31.3259358176542,
      26.6401837697292,
      30.647536456777,
      29.8537812128101,
      27.2490179132725,
      31.2691370948398,
      31.3058166328329,
      35.6494333825636,
      38.2389792908927,
      38.11724016053,
      38.0911532040235,
      38.0715879866453,
      38.1737618996266,
      35.6537812086486,
      38.1368053779095,
      34.0143737914512,
      34.8014688044177,
      26.9051241770592,
      28.4774172736898,
      31.332457556779,
      17.0012883697291,
      23.9896298044162,
      28.6688601132252,
      29.3103029523969,
      24.6593335131238,
      31.3150662524464,
      28.8971209826,
      28.8166862000555,
      31.2189986030229,
      33.7908762233937,
      38.1172401605295,
      38.2063705952594,
      38.1650662474579,
      32.3488794177458,
      38.1476749431202,
      38.2368053778505,
      36.4908762215852,
      34.7666861957455,
      29.9049856832442,
      34.3320420791165,
      33.1759358161104,
      29.3863899088548,
      31.3737619045689,
      30.051745791485,
      28.1339390130931,
      31.4194140784432,
      26.6358359436341,
      27.3011918262621,
      31.3085445133224,
      21.4021193173206,
      26.5314881176448,
      33.5018842805503,
      32.6774172706,
      38.202022769175,
      38.2324575517656,
      38.1933271170066,
      32.3271402873238,
      38.1085445083608,
      38.2281097256818,
      38.1281097257405,
      26.4631273706876,
      38.2150662474286,
      32.2188601105397,
      25.2461515425012,
      31.3585445132778,
      31.3368053828627,
      19.0386603654047,
      27.4881483478405,
      31.3237619046131,
      31.3694140784856,
      26.5901837697608,
      31.3302836437374,
      26.5227924654726,
      30.5278327476166,
      34.2020227718406,
      37.7628923346767,
      38.1194140735717,
      29.8354204658956,
      36.7060936127631,
      29.9115074223718,
      38.0846314648971,
      36.4843544824595,
      38.0955010301078,
      33.1316266046284,
      38.145501030078,
      28.1030887549777,
      24.1112304428714,
      31.3498488611117,
      31.278109730744,
      31.3433271219922,
      25.9770018001341,
      31.3455010350283,
      27.275104869763,
      28.6384253306431,
      31.297674948114,
      31.4302836436572,
      31.258267529631,
      33.8671016716049,
      38.1368053779092,
      36.5430501345977,
      31.5117844048099,
      36.5691370911044,
      35.601607295639,
      38.1259358126986,
      36.4756588302908,
      38.1759358126691,
      34.8492948913457,
      35.451607295738,
      33.2107184247789,
      31.7715879912042,
      31.3520227741534,
      30.0626153566934,
      31.4389792958197,
      30.0995718783976,
      31.302022774197,
      25.1920807002158,
      31.3759358176107,
      26.5423576828463,
      31.3346314698207,
      30.5623383725564,
      35.445501031878,
      38.1063705953185,
      37.2844929736795,
      38.1041966822765,
      34.7753818479113,
      38.1172401605295,
      38.2368053778524,
      34.7601644566149,
      35.6733464260294,
      34.0404607479576,
      33.6036427182807,
      30.297120981433,
      31.2628923394697,
      31.3998488610684,
      28.9971209825135,
      29.4950855609324,
      31.3585445132799,
      27.4011918261781,
      27.4098874783417,
      25.9074365828001,
      0,
      12.9700226392122,
      32.6930501371655,
      36.3433271182365,
      38.1041966822764,
      38.2498488561051,
      38.1172401605297,
      33.9230694436786,
      38.1085445083607,
      36.5517457867676,
      38.1085445083608,
      33.2859744306262,
      38.2411532039349,
      28.652950262827,
      26.637732872921,
      31.3933271219434,
      31.3541966871986,
      26.8510533347564,
      30.9366668913101,
      27.9100259698102,
      31.3781097306575,
      27.1990179133098,
      30.0734849218974,
      16.5098455304349,
      31.4410147169953,
      34.2846314674333,
      37.2259358133059,
      38.1085445083608,
      38.1411532039938,
      38.0933271170655,
      33.9491564001847,
      38.1759358126695,
      34.8710340217668,
      38.1237618996566,
      29.9028117702039,
      38.2672401604419,
      25.2938391376406,
      25.4854204689629,
      31.378109730652,
      31.3215879915732,
      27.5924961738395,
      29.3994333871009,
      31.336805382862,
      15.8684026912595,
      21.1195106219092,
      10.9087376000803,
      0,
      27.200914842622,
      34.3694140760722,
      38.1368053779093,
      38.0933271170663,
      38.0889792909816,
      38.0824575518547,
      34.7732079348682,
      38.1694140735439,
      35.6385638173541,
      38.1324575518256,
      30.6638198266656,
      33.1990179089357,
      28.1923576814725,
      23.6329695737054,
      31.3455010350285,
      15.564054865437,
      28.1404607522208,
      31.4411532088588,
      31.3455010350285,
      26.6836620305486,
      31.3215879915713,
      27.9208955350171,
      31.3346314698206,
      31.2929116464374,
      32.3710340234295,
      38.1085445083607,
      29.0418037138011,
      38.1433271170363,
      33.3707570392705,
      38.121587986614,
      38.1998488561333,
      34.8036427174587,
      38.1324575518251,
      33.9535042262695,
      29.8029502620335,
      33.1955010334837,
      28.6579905480184,
      31.3498488611115,
      31.3085445133307,
      31.3998488610737,
      21.917475200074,
      31.4259358175676,
      26.6032272480105,
      28.0295911870965,
      28.2991564042762,
      21.2086410566159,
      32.6930501371645,
      34.1863899052769,
      38.110718421403,
      26.5674751967088,
      35.7820420781392,
      33.3120613871317,
      38.1237618996561,
      36.6234849171614,
      38.1020227692343,
      34.0469824870845,
      38.188979290922,
      33.6930501365428,
      32.7128923382361,
      31.3520227741531,
      29.3711725175612,
      31.3324575567854,
      31.4715879914431,
      31.4541966871101,
      31.3563706002363,
      28.6732079393096,
      31.2737619046572,
      25.8617844089273,
      30.5582675302018,
      34.1889792935894,
      37.7498488564258,
      38.1085445083608,
      33.9274172697631,
      38.075935812728,
      33.1598874741768,
      38.1020227692342,
      35.6429116434393,
      38.099848856192,
      33.9752433566913,
      38.1063705953186,
      32.5539197025426,
      28.9535042298018,
      31.4585445131932,
      26.5401837698057,
      31.4846314696943,
      26.7032272479239,
      31.3476749480699,
      24.7658552521635,
      31.395501034987,
      31.3563706002363,
      31.4389792958168,
      31.3734849208366,
      31.4449470675257,
      38.110718421403,
      38.1911532039646,
      38.1194140735731,
      38.0868053779394,
      32.3336620264504,
      38.2020227691754,
      36.4713110042061,
      38.2063705952599,
      34.0556781392564,
      36.1713110044064,
      33.2628923377842,
      25.6486024389649,
      31.3346314698205,
      10.2564251957021,
      4.10083094784728,
      31.4128923393186,
      31.2846314698658,
      26.046567017463,
      31.3389792959038,
      10.1912078044552,
      28.7492948957726,
      32.0800066594019,
      34.1343544840253,
      38.1107184214029,
      29.0504993659707,
      38.2259358126401,
      33.3033657349623,
      34.8492948913445,
      38.2237618995975,
      36.4517457868259,
      38.130283638783,
      34.7753818479109,
      26.8893528186858,
      33.1998488595673,
      20.4606764784053,
      31.3215879915715,
      28.707990547979,
      31.3650662524047,
      26.620618552344,
      31.2955010350835,
      23.8809341523335,
      31.3607184263215,
      30.1473979653178,
      29.3211725176037,
      31.2253818502835,
      32.6426346619302,
      38.1324575518249,
      27.42848325311,
      38.1628923344165,
      34.1252433566035,
      38.1194140735717,
      37.4323190605474,
      38.0955010301077,
      33.9448085741002,
      38.1237618996563,
      32.1427731540718,
      24.5764478337906,
      31.3498488611114,
      31.3541966871958,
      23.9439776305441,
      30.0300066610657,
      31.4020227741113,
      31.3672401654438,
      27.8730694481032,
      31.2889792959479,
      29.9256588350692,
      29.9276942562374,
      34.1998488587987,
      31.0369019220038,
      58.5272787712308,
      67.3063705869154,
      62.9081290269002,
      61.4492948837059,
      67.302022760829,
      49.7481869555462,
      29.2549437334425,
      62.9081290269002,
      61.4449470576194,
      53.7616459069096,
      66.9889792826037,
      57.0640968019501,
      65.8431886176347,
      67.2976749347425,
      48.280657160179,
      58.5272787712308,
      55.6009148326693,
      48.2850049862654,
      67.3063705869154,
      67.2955010216993,
      52.6484639375889,
      58.5272787712308,
      52.6528117636754,
      67.2889792825696,
      58.5120613799282,
      57.0640968019501,
      67.3063705869154,
      67.3063705869154
    ],
    "drum_onset_timestamps": [
      6.12266666666667,
      6.24,
      6.79466666666667,
      6.944,
      7.168,
      7.648,
      8.224,
      8.34133333333333,
      8.576,
      9.03466666666667,
      9.61066666666667,
      9.73866666666667,
      10.304,
      10.432,
      10.656,
      10.9973333333333,
      11.1253333333333,
      11.3066666666667,
      11.4773333333333,
      11.8293333333333,
      12.1813333333333,
      12.352,
      12.4586666666667,
      12.5226666666667,
      12.704,
      12.864,
      13.0453333333333,
      13.2266666666667,
      13.3973333333333,
      13.5786666666667,
      13.7493333333333,
      13.8666666666667,
      13.92,
      14.1013333333333,
      14.272,
      14.432,
      14.624,
      14.784,
      14.9653333333333,
      15.1466666666667,
      15.3066666666667,
      15.4986666666667,
      15.6693333333333,
      15.84,
      16.0213333333333,
      16.192,
      16.3626666666667,
      16.544,
      16.704,
      16.8853333333333,
      17.0666666666667,
      17.2266666666667,
      17.408,
      17.76,
      17.9306666666667,
      18.1013333333333,
      18.2826666666667,
      18.4533333333333,
      18.6346666666667,
      18.8053333333333,
      18.976,
      19.1573333333333,
      19.328,
      19.4986666666667,
      19.68,
      19.8506666666667,
      20.0213333333333,
      20.2026666666667,
      20.5546666666667,
      20.7253333333333,
      20.896,
      21.0773333333333,
      21.248,
      21.4186666666667,
      21.6,
      21.76,
      21.9413333333333,
      22.1226666666667,
      22.2933333333333,
      22.464,
      22.6453333333333,
      22.816,
      22.9866666666667,
      23.3386666666667,
      23.52,
      23.6266666666667,
      23.6906666666667,
      23.8613333333333,
      24.032,
      24.2133333333333,
      24.384,
      24.5546666666667,
      24.736,
      24.9066666666667,
      25.0346666666667,
      25.0773333333333,
      25.2586666666667,
      25.4293333333333,
      25.6,
      25.7813333333333,
      25.9413333333333,
      26.1226666666667,
      26.304,
      26.4746666666667,
      26.656,
      26.8266666666667,
      26.9973333333333,
      27.1786666666667,
      27.3493333333333,
      27.52,
      27.7013333333333,
      27.872,
      28.0533333333333,
      28.224,
      28.384,
      28.5653333333333,
      28.928,
      29.0986666666667,
      29.2586666666667,
      29.44,
      29.6213333333333,
      29.792,
      29.9626666666667,
      30.144,
      30.3146666666667,
      30.4853333333333,
      30.656,
      30.8373333333333,
      31.008,
      31.1893333333333,
      31.3493333333333,
      31.712,
      31.8826666666667,
      32.0533333333333,
      32.2346666666667,
      32.4053333333333,
      32.5866666666667,
      32.7573333333333,
      32.9173333333333,
      33.0986666666667,
      33.28,
      33.4506666666667,
      33.632,
      33.8026666666667,
      33.984,
      34.144,
      34.496,
      34.6773333333333,
      34.8266666666667,
      34.8586666666667,
      35.0293333333333,
      35.2,
      35.3706666666667,
      35.552,
      35.7226666666667,
      35.904,
      36.0746666666667,
      36.2346666666667,
      36.416,
      36.5973333333333,
      36.7786666666667,
      36.9386666666667,
      37.3013333333333,
      37.472,
      37.632,
      37.8133333333333,
      37.984,
      38.1653333333333,
      38.3466666666667,
      38.5066666666667,
      38.688,
      38.8586666666667,
      39.0293333333333,
      39.2106666666667,
      39.3813333333333,
      39.5626666666667,
      39.7333333333333,
      40.0853333333333,
      40.256,
      40.4266666666667,
      40.608,
      40.7786666666667,
      40.9493333333333,
      41.1306666666667,
      41.3013333333333,
      41.4826666666667,
      41.6533333333333,
      41.824,
      42.0053333333333,
      42.176,
      42.3573333333333,
      42.528,
      42.8586666666667,
      43.0506666666667,
      43.2106666666667,
      43.3813333333333,
      43.5733333333333,
      43.744,
      43.9253333333333,
      44.0853333333333,
      44.2666666666667,
      44.4373333333333,
      44.6186666666667,
      44.7893333333333,
      44.9706666666667,
      45.1306666666667,
      45.312,
      45.6,
      45.664,
      45.8346666666667,
      45.9946666666667,
      46.0266666666667,
      46.1866666666667,
      46.3573333333333,
      46.5386666666667,
      46.7093333333333,
      46.88,
      47.0613333333333,
      47.232,
      47.4026666666667,
      47.584,
      47.7546666666667,
      47.9253333333333,
      48.096,
      48.4373333333333,
      48.6293333333333,
      48.7893333333333,
      48.9813333333333,
      49.152,
      49.3226666666667,
      49.504,
      49.6746666666667,
      49.8453333333333,
      50.0266666666667,
      50.1653333333333,
      50.1973333333333,
      50.368,
      50.5493333333333,
      50.72,
      50.8906666666667,
      51.2426666666667,
      51.4133333333333,
      51.584,
      51.7653333333333,
      51.936,
      52.1173333333333,
      52.288,
      52.4586666666667,
      52.64,
      52.8106666666667,
      52.9813333333333,
      53.1626666666667,
      53.3333333333333,
      53.5146666666667,
      53.6853333333333,
      53.8666666666667,
      54.0266666666667,
      54.208,
      54.3786666666667,
      54.56,
      54.7306666666667,
      54.9013333333333,
      55.0826666666667,
      55.2213333333333,
      55.4346666666667,
      55.5946666666667,
      55.776,
      55.9573333333333,
      56.128,
      56.2986666666667,
      56.48,
      56.832,
      57.0026666666667,
      57.1626666666667,
      57.344,
      57.5146666666667,
      57.664,
      57.8773333333333,
      58.016,
      58.2186666666667,
      58.368,
      58.4106666666667,
      58.5706666666667,
      58.7093333333333,
      58.9226666666667,
      59.0933333333333,
      59.1573333333333,
      59.2213333333333,
      59.264,
      59.3706666666667,
      59.6053333333333,
      59.7866666666667,
      59.9466666666667,
      60.1493333333333,
      60.2346666666667,
      60.3093333333333,
      60.4906666666667,
      60.672,
      60.832,
      61.0133333333333,
      61.184,
      61.3546666666667,
      61.536,
      61.7066666666667,
      61.8773333333333,
      62.048,
      62.4106666666667,
      62.5813333333333,
      62.7413333333333,
      62.9226666666667,
      63.0933333333333,
      63.2533333333333,
      63.456,
      63.5946666666667,
      63.808,
      63.9466666666667,
      64.1493333333333,
      64.2986666666667,
      64.5013333333333,
      64.672,
      64.736,
      64.8106666666667,
      64.8426666666667,
      64.9066666666667,
      64.96,
      65.1946666666667,
      65.3653333333333,
      65.5253333333333,
      65.728,
      65.8133333333333,
      65.888,
      66.08,
      66.592,
      66.7626666666667,
      66.9333333333333,
      67.1146666666667,
      67.2853333333333,
      67.4666666666667,
      67.6373333333333,
      67.9893333333333,
      68.16,
      68.3306666666667,
      68.512,
      68.672,
      68.832,
      69.0346666666667,
      69.1733333333333,
      69.3866666666667,
      69.5253333333333,
      69.568,
      69.728,
      69.8773333333333,
      70.08,
      70.2506666666667,
      70.3146666666667,
      70.3893333333333,
      70.4213333333333,
      70.4853333333333,
      70.5386666666667,
      70.7733333333333,
      70.944,
      71.104,
      71.3066666666667,
      71.4666666666667,
      71.648,
      71.8293333333333,
      72,
      72.1813333333333,
      72.352,
      72.512,
      72.6933333333333,
      72.864,
      73.0453333333333,
      73.216,
      73.568,
      73.7386666666667,
      73.9093333333333,
      74.0906666666667,
      74.2506666666667,
      74.4106666666667,
      74.6133333333333,
      74.7626666666667,
      74.9653333333333,
      75.104,
      75.3173333333333,
      75.456,
      75.6693333333333,
      75.8293333333333,
      75.904,
      75.968,
      76,
      76.064,
      76.1173333333333,
      76.352,
      76.5333333333333,
      76.6826666666667,
      77.0453333333333,
      77.2373333333333,
      77.4186666666667,
      77.6853333333333,
      77.76,
      77.9306666666667,
      78.1013333333333,
      78.272,
      78.4533333333333,
      78.624,
      78.7946666666667,
      79.1466666666667,
      79.488,
      79.6693333333333,
      79.84,
      80.0213333333333,
      80.2026666666667,
      80.3626666666667,
      80.544,
      80.7146666666667,
      80.8853333333333,
      81.0666666666667,
      81.2373333333333,
      81.4186666666667,
      81.5786666666667,
      81.7706666666667,
      81.9306666666667,
      82.112,
      82.2826666666667,
      82.464,
      82.624,
      82.8053333333333,
      82.9866666666667,
      83.1573333333333,
      83.328,
      83.5093333333333,
      83.68,
      83.8613333333333,
      84.032,
      84.2026666666667,
      84.3733333333333,
      84.736,
      84.9066666666667,
      85.0666666666667,
      85.248,
      85.4293333333333,
      85.6,
      85.7813333333333,
      85.952,
      86.1226666666667,
      86.304,
      86.464,
      86.6453333333333,
      86.8266666666667,
      86.9973333333333,
      87.168,
      87.4986666666667,
      87.5306666666667,
      87.6906666666667,
      87.8613333333333,
      88.0426666666667,
      88.2133333333333,
      88.384,
      88.5653333333333,
      88.736,
      88.9066666666667,
      89.0986666666667,
      89.248,
      89.44,
      89.6106666666667,
      89.792,
      89.9626666666667,
      90.3146666666667,
      90.656,
      90.8373333333333,
      90.9973333333333,
      91.1786666666667,
      91.36,
      91.5306666666667,
      91.712,
      91.8826666666667,
      92.0426666666667,
      92.2346666666667,
      92.4053333333333,
      92.576,
      92.7466666666667,
      92.9173333333333,
      93.0773333333333,
      93.2693333333333,
      93.44,
      93.6213333333333,
      93.7706666666667,
      93.8026666666667,
      93.9733333333333,
      94.1546666666667,
      94.3146666666667,
      94.496,
      94.6666666666667,
      94.848,
      95.0186666666667,
      95.1893333333333,
      95.3706666666667,
      95.5413333333333,
      95.8933333333333,
      96.064,
      96.2346666666667,
      96.416,
      96.5866666666667,
      96.7573333333333,
      96.9386666666667,
      97.1093333333333,
      97.2906666666667,
      97.4613333333333,
      97.632,
      97.8133333333333,
      97.984,
      98.1546666666667,
      98.3253333333333,
      98.6666666666667,
      98.8586666666667,
      98.9973333333333,
      99.0293333333333,
      99.2106666666667,
      99.3706666666667,
      99.552,
      99.7333333333333,
      99.8933333333333,
      100.074666666667,
      100.416,
      100.597333333333,
      100.778666666667,
      100.949333333333,
      101.12,
      101.472,
      101.642666666667,
      101.802666666667,
      101.994666666667,
      102.165333333333,
      102.346666666667,
      102.517333333333,
      102.688,
      102.869333333333,
      103.04,
      103.2,
      103.392,
      103.573333333333,
      103.744,
      103.914666666667,
      104.266666666667,
      104.437333333333,
      104.608,
      104.789333333333,
      104.949333333333,
      105.130666666667,
      105.312,
      105.482666666667,
      105.653333333333,
      105.834666666667,
      105.994666666667,
      106.176,
      106.357333333333,
      106.528,
      106.698666666667,
      107.050666666667,
      107.232,
      107.392,
      107.573333333333,
      107.744,
      107.925333333333,
      108.096,
      108.266666666667,
      108.448,
      108.618666666667,
      108.778666666667,
      108.970666666667,
      109.141333333333,
      109.322666666667,
      109.493333333333,
      109.834666666667,
      110.016,
      110.186666666667,
      110.368,
      110.538666666667,
      110.709333333333,
      110.88,
      111.061333333333,
      111.232,
      111.413333333333,
      111.573333333333,
      111.754666666667,
      111.946666666667,
      112.106666666667,
      112.288,
      112.64,
      112.810666666667,
      112.970666666667,
      113.162666666667,
      113.333333333333,
      113.504,
      113.685333333333,
      113.845333333333,
      114.026666666667,
      114.208,
      114.368,
      114.549333333333,
      114.730666666667,
      114.901333333333,
      115.072,
      115.424,
      115.594666666667,
      115.765333333333,
      115.946666666667,
      116.117333333333,
      116.298666666667,
      116.469333333333,
      116.64,
      116.821333333333,
      116.992,
      117.162666666667,
      117.344,
      117.514666666667,
      117.685333333333,
      117.866666666667,
      118.208,
      118.389333333333,
      118.56,
      118.741333333333,
      118.912,
      119.082666666667,
      119.264,
      119.424,
      119.605333333333,
      119.786666666667,
      119.946666666667,
      120.138666666667,
      120.309333333333,
      120.48,
      120.661333333333,
      120.896,
      121.002666666667,
      121.173333333333,
      121.344,
      121.525333333333,
      121.696,
      121.877333333333,
      122.037333333333,
      122.4,
      122.570666666667,
      122.741333333333,
      122.922666666667,
      123.093333333333,
      123.274666666667,
      123.445333333333,
      123.797333333333,
      123.968,
      124.138666666667,
      124.32,
      124.490666666667,
      124.64,
      124.842666666667,
      124.981333333333,
      125.194666666667,
      125.333333333333,
      125.376,
      125.536,
      125.685333333333,
      125.888,
      126.058666666667,
      126.122666666667,
      126.197333333333,
      126.229333333333,
      126.293333333333,
      126.346666666667,
      126.581333333333,
      126.762666666667,
      126.912,
      127.114666666667,
      127.274666666667,
      127.456,
      127.637333333333,
      127.808,
      127.978666666667,
      128.149333333333,
      128.32,
      128.501333333333,
      128.672,
      128.853333333333,
      129.024,
      129.376,
      129.546666666667,
      129.717333333333,
      129.898666666667,
      130.069333333333,
      130.218666666667,
      130.421333333333,
      130.56,
      130.773333333333,
      130.912,
      131.125333333333,
      131.264,
      131.477333333333,
      131.637333333333,
      131.712,
      131.776,
      131.808,
      131.872,
      131.925333333333,
      132.16,
      132.341333333333,
      132.490666666667,
      132.693333333333,
      132.789333333333,
      132.853333333333,
      133.045333333333,
      133.152,
      133.386666666667,
      133.557333333333,
      133.738666666667,
      133.898666666667,
      134.08,
      134.261333333333,
      134.432,
      134.602666666667,
      134.805333333333,
      134.954666666667,
      135.125333333333,
      135.296,
      135.477333333333,
      135.648,
      135.797333333333,
      136.010666666667,
      136.149333333333,
      136.352,
      136.490666666667,
      136.704,
      136.842666666667,
      137.056,
      137.226666666667,
      137.290666666667,
      137.354666666667,
      137.397333333333,
      137.461333333333,
      137.504,
      137.738666666667,
      137.92,
      138.08,
      138.272,
      138.432,
      138.624,
      138.784,
      138.965333333333,
      139.146666666667,
      139.317333333333,
      139.488,
      139.669333333333,
      139.84,
      140.010666666667,
      140.181333333333,
      140.544,
      140.714666666667,
      140.874666666667,
      141.056,
      141.226666666667,
      141.376,
      141.589333333333,
      141.728,
      141.941333333333,
      142.08,
      142.122666666667,
      142.282666666667,
      142.421333333333,
      142.634666666667,
      142.805333333333,
      142.869333333333,
      142.933333333333,
      142.976,
      143.04,
      143.093333333333,
      143.328,
      143.498666666667,
      143.658666666667,
      143.861333333333,
      144.010666666667,
      144.202666666667,
      144.373333333333,
      144.650666666667,
      144.725333333333,
      144.896,
      145.066666666667,
      145.248,
      145.418666666667,
      145.6,
      151.349333333333,
      152.042666666667,
      152.746666666667,
      153.44,
      153.685333333333,
      154.133333333333,
      154.837333333333,
      155.530666666667,
      156.234666666667,
      156.405333333333,
      156.576,
      156.928,
      157.28,
      157.450666666667,
      157.621333333333,
      157.802666666667,
      157.973333333333,
      158.154666666667,
      158.325333333333,
      158.496,
      158.677333333333,
      158.848,
      159.018666666667,
      159.2,
      159.370666666667,
      159.541333333333,
      159.701333333333,
      159.893333333333,
      160.074666666667,
      160.245333333333,
      160.405333333333,
      160.597333333333,
      160.768,
      160.938666666667,
      161.12,
      161.290666666667,
      161.461333333333,
      161.642666666667,
      161.802666666667,
      161.984,
      162.165333333333,
      162.325333333333,
      162.506666666667,
      162.858666666667,
      163.029333333333,
      163.2,
      163.381333333333,
      163.552,
      163.733333333333,
      163.914666666667,
      164.074666666667,
      164.256,
      164.426666666667,
      164.597333333333,
      164.778666666667,
      164.949333333333,
      165.12,
      165.290666666667,
      165.482666666667,
      165.653333333333,
      165.824,
      165.994666666667,
      166.176,
      166.346666666667,
      166.517333333333,
      166.698666666667,
      166.869333333333,
      167.04,
      167.221333333333,
      167.392,
      167.562666666667,
      167.744,
      167.914666666667,
      168.096,
      168.437333333333,
      168.618666666667,
      168.778666666667,
      168.96,
      169.130666666667,
      169.28,
      169.493333333333,
      169.632,
      169.834666666667,
      169.973333333333,
      170.026666666667,
      170.186666666667,
      170.325333333333,
      170.538666666667,
      170.709333333333,
      170.773333333333,
      170.837333333333,
      170.88,
      170.944,
      170.986666666667,
      171.232,
      171.402666666667,
      171.562666666667,
      171.765333333333,
      171.914666666667,
      172.106666666667,
      172.277333333333,
      172.448,
      172.629333333333,
      172.8,
      172.970666666667,
      173.152,
      173.322666666667,
      173.493333333333,
      173.674666666667,
      174.026666666667,
      174.197333333333,
      174.357333333333,
      174.549333333333,
      174.72,
      174.869333333333,
      175.072,
      175.2,
      175.424,
      175.562666666667,
      175.765333333333,
      175.904,
      175.957333333333,
      176.117333333333,
      176.288,
      176.352,
      176.416,
      176.458666666667,
      176.522666666667,
      176.576,
      176.810666666667,
      176.992,
      177.141333333333,
      177.344,
      177.429333333333,
      177.504,
      177.685333333333,
      177.802666666667,
      178.037333333333,
      178.208,
      178.378666666667,
      178.549333333333,
      178.730666666667,
      178.901333333333,
      179.082666666667,
      179.253333333333,
      179.605333333333,
      179.776,
      179.946666666667,
      180.128,
      180.288,
      180.448,
      180.650666666667,
      180.789333333333,
      181.002666666667,
      181.141333333333,
      181.184,
      181.344,
      181.493333333333,
      181.696,
      181.866666666667,
      181.930666666667,
      182.005333333333,
      182.037333333333,
      182.101333333333,
      182.154666666667,
      182.389333333333,
      182.56,
      182.72,
      182.922666666667,
      183.008,
      183.082666666667,
      183.264,
      183.445333333333,
      183.605333333333,
      183.786666666667,
      183.968,
      184.128,
      184.309333333333,
      184.48,
      184.661333333333,
      184.832,
      185.184,
      185.354666666667,
      185.525333333333,
      185.706666666667,
      185.877333333333,
      186.026666666667,
      186.229333333333,
      186.368,
      186.581333333333,
      186.72,
      186.933333333333,
      187.072,
      187.285333333333,
      187.445333333333,
      187.52,
      187.584,
      187.616,
      187.68,
      187.733333333333,
      187.968,
      188.149333333333,
      188.298666666667,
      188.501333333333,
      188.597333333333,
      188.661333333333,
      188.853333333333,
      189.024,
      189.365333333333,
      189.546666666667,
      189.706666666667,
      189.888,
      190.069333333333,
      190.24,
      190.666666666667,
      190.794666666667,
      190.912,
      191.114666666667,
      191.488,
      191.904,
      192.085333333333,
      192.512,
      193.184,
      193.354666666667,
      193.557333333333,
      193.898666666667,
      194.08,
      194.346666666667,
      194.581333333333,
      194.762666666667,
      194.848,
      195.296,
      196.693333333333,
      197.344,
      197.685333333333,
      198.090666666667,
      198.965333333333,
      199.146666666667,
      199.488,
      199.733333333333,
      199.914666666667,
      200.032,
      200.309333333333,
      200.405333333333,
      200.512,
      200.874666666667,
      201.045333333333,
      201.141333333333,
      201.408
    ],
    "drum_onset_strengths": [
      0.114718146622181,
      0.298520773649216,
      0.12252539396286,
      0.563455998897552,
      0.126171410083771,
      0.750010848045349,
      0.103963047266006,
      0.569618225097656,
      0.121222801506519,
      0.388189315795898,
      0.147648885846138,
      0.596582412719727,
      0.0903147310018539,
      0.40517058968544,
      0.106227673590183,
      0.125404193997383,
      0.30398029088974,
      0.208391651511192,
      0.764658451080322,
      0.46022093296051,
      0.314794361591339,
      0.317353457212448,
      0.402551740407944,
      0.26272913813591,
      0.252191811800003,
      0.190940946340561,
      0.155057772994041,
      0.289627403020859,
      0.390128016471863,
      0.41517248749733,
      0.357328474521637,
      0.26660481095314,
      0.258356779813766,
      0.369817823171616,
      0.27435714006424,
      0.127090781927109,
      0.806573033332825,
      0.158257573843002,
      0.312236487865448,
      0.529196679592133,
      0.231895998120308,
      0.332187980413437,
      0.954149067401886,
      0.78371673822403,
      0.453329801559448,
      0.815731883049011,
      0.646115899085999,
      0.523419439792633,
      0.191704824566841,
      0.43690887093544,
      0.579502940177917,
      0.235635638237,
      0.530386745929718,
      0.231597498059273,
      0.229247778654099,
      0.246307536959648,
      0.239884316921234,
      0.594314217567444,
      0.967700362205505,
      0.225952476263046,
      0.328183799982071,
      0.314300030469894,
      0.305334001779556,
      0.267023384571075,
      0.332279741764069,
      0.237826883792877,
      0.141762986779213,
      0.793777823448181,
      0.479406297206879,
      0.445697426795959,
      0.455103844404221,
      0.319992274045944,
      0.800238072872162,
      0.62439239025116,
      0.396193116903305,
      0.159351572394371,
      0.520752966403961,
      0.499436885118484,
      0.597316563129425,
      0.278945922851562,
      0.528578639030457,
      0.283258587121964,
      0.336587131023407,
      0.183695033192635,
      0.571538031101227,
      0.472478926181793,
      0.555237770080566,
      0.163591161370277,
      0.420363456010818,
      0.352417171001434,
      0.154191568493843,
      0.146761700510979,
      0.271038442850113,
      0.181772902607918,
      0.710717141628265,
      0.210114046931267,
      0.240331053733826,
      0.137905284762383,
      0.215319842100143,
      0.652335226535797,
      0.131290912628174,
      0.148583978414536,
      0.352653652429581,
      0.337189018726349,
      0.416803389787674,
      0.760621547698975,
      0.351678073406219,
      0.38367834687233,
      0.539906799793243,
      0.285300403833389,
      0.350549429655075,
      0.446433871984482,
      0.728049695491791,
      0.395513147115707,
      0.222300097346306,
      0.183062702417374,
      0.423972129821777,
      0.442665129899979,
      0.170284673571587,
      0.136715665459633,
      1,
      0.780001938343048,
      0.120545513927937,
      0.612560033798218,
      0.151336058974266,
      0.136783644556999,
      0.211579859256744,
      0.212221577763557,
      0.133226081728935,
      0.344384998083115,
      0.149204865098,
      0.35582634806633,
      0.19679619371891,
      0.28527507185936,
      0.241991370916367,
      0.520289361476898,
      0.99656742811203,
      0.208800002932549,
      0.46884948015213,
      0.139502763748169,
      0.321834027767181,
      0.343532055616379,
      0.64932382106781,
      0.290405422449112,
      0.40909931063652,
      0.188494920730591,
      0.115662485361099,
      0.346661329269409,
      0.199101001024246,
      0.363669365644455,
      0.384312897920609,
      0.801584362983704,
      0.200080990791321,
      0.158143505454063,
      0.584065914154053,
      0.425112187862396,
      0.50812691450119,
      0.23616349697113,
      0.128831326961517,
      0.461349636316299,
      0.164118126034737,
      0.518533647060394,
      0.403467297554016,
      0.526014089584351,
      0.265915840864182,
      0.185649439692497,
      0.303584426641464,
      0.899436593055725,
      0.489960163831711,
      0.17055544257164,
      0.655030608177185,
      0.16575525701046,
      0.267817199230194,
      0.610450983047485,
      0.217751517891884,
      0.21505805850029,
      0.651843726634979,
      0.450997769832611,
      0.267702400684357,
      0.271703779697418,
      0.336925119161606,
      0.748403191566467,
      0.395989507436752,
      0.315211355686188,
      0.519747734069824,
      0.389899015426636,
      0.378527700901031,
      0.384685724973679,
      0.354232728481293,
      0.387334614992142,
      0.216733142733574,
      0.802156507968903,
      0.140704736113548,
      0.51781564950943,
      0.163311809301376,
      0.167103379964828,
      0.946946918964386,
      0.76193231344223,
      0.411392837762833,
      0.158063352108002,
      0.725244700908661,
      0.17591667175293,
      0.541800081729889,
      0.48692199587822,
      0.582807540893555,
      0.124694995582104,
      0.449229776859283,
      0.126431301236153,
      0.163994625210762,
      0.150944218039513,
      0.295685470104218,
      0.308140724897385,
      0.256293535232544,
      0.499544680118561,
      0.529348075389862,
      0.132522210478783,
      0.366912841796875,
      0.373501867055893,
      0.312654703855515,
      0.336359739303589,
      0.295888990163803,
      0.27237531542778,
      0.154418706893921,
      0.231188789010048,
      0.140739932656288,
      0.371790796518326,
      0.252689689397812,
      0.380498290061951,
      0.674396514892578,
      0.580731630325317,
      0.392337054014206,
      0.470191657543182,
      0.416147261857986,
      0.443733811378479,
      0.179446876049042,
      0.268201917409897,
      0.331303983926773,
      0.52179878950119,
      0.116947665810585,
      0.331776708364487,
      0.233265459537506,
      0.144403994083405,
      0.197485536336899,
      0.162003099918365,
      0.29084500670433,
      0.910632371902466,
      0.19110880792141,
      0.234019979834557,
      0.264380067586899,
      0.177692413330078,
      0.249372646212578,
      0.293723255395889,
      0.207953631877899,
      0.308535814285278,
      0.272237598896027,
      0.176451176404953,
      0.212653174996376,
      0.345778226852417,
      0.313885509967804,
      0.138852059841156,
      0.297430127859116,
      0.166068911552429,
      0.41463029384613,
      0.307895004749298,
      0.480171263217926,
      0.140869215130806,
      0.432849049568176,
      0.323610782623291,
      0.487862378358841,
      0.307114988565445,
      0.797387778759003,
      0.582811772823334,
      0.583923935890198,
      0.259211003780365,
      0.22022733092308,
      0.300237238407135,
      0.126811191439629,
      0.357336461544037,
      0.190679505467415,
      0.205744057893753,
      0.231648981571198,
      0.129782035946846,
      0.352597266435623,
      0.145435273647308,
      0.272088527679443,
      0.338600337505341,
      0.214857295155525,
      0.320180475711823,
      0.402689903974533,
      0.370410889387131,
      0.167447865009308,
      0.309328138828278,
      0.638214826583862,
      0.154630064964294,
      0.201731309294701,
      0.294745564460754,
      0.211435183882713,
      0.170048043131828,
      0.321885675191879,
      0.3225437104702,
      0.387144088745117,
      0.237621918320656,
      0.357278615236282,
      0.416075378656387,
      0.193665400147438,
      0.157178550958633,
      0.69650411605835,
      0.40299117565155,
      0.180846512317657,
      0.156881168484688,
      0.266129791736603,
      0.181314140558243,
      0.345182508230209,
      0.144254684448242,
      0.448781877756119,
      0.197106406092644,
      0.251295745372772,
      0.189947798848152,
      0.162100210785866,
      0.24509958922863,
      0.277553141117096,
      0.350157260894775,
      0.358733505010605,
      0.397833585739136,
      0.406258106231689,
      0.725353896617889,
      0.216270312666893,
      0.491674572229385,
      0.147557273507118,
      0.222266986966133,
      0.297719955444336,
      0.154018566012383,
      0.269674748182297,
      0.190954223275185,
      0.211682394146919,
      0.213018909096718,
      0.338799893856049,
      0.55707061290741,
      0.676452875137329,
      0.451261729001999,
      0.427379161119461,
      0.349490851163864,
      0.381441086530685,
      0.20407634973526,
      0.16604970395565,
      0.235894545912743,
      0.141739308834076,
      0.41717791557312,
      0.201633915305138,
      0.130865529179573,
      0.15200500190258,
      0.182140871882439,
      0.174843266606331,
      0.180459007620811,
      0.357109218835831,
      0.452985048294067,
      0.315572023391724,
      0.281494498252869,
      0.425208806991577,
      0.341985583305359,
      0.213275969028473,
      0.353967636823654,
      0.191015869379044,
      0.2852942943573,
      0.155930250883102,
      0.166351199150085,
      0.630788683891296,
      0.238733425736427,
      0.675325155258179,
      0.236345455050468,
      0.247121721506119,
      0.177147254347801,
      0.339448362588882,
      0.469808787107468,
      0.376583635807037,
      0.187686398625374,
      0.322110533714294,
      0.290982872247696,
      0.186992600560188,
      0.176214963197708,
      0.13533727824688,
      0.208726778626442,
      0.298585712909698,
      0.14030234515667,
      0.523167967796326,
      0.178352057933807,
      0.267702043056488,
      0.163056373596191,
      0.344784468412399,
      0.358994215726852,
      0.23416793346405,
      0.200114205479622,
      0.374885886907578,
      0.282712012529373,
      0.469050258398056,
      0.244290322065353,
      0.195498585700989,
      0.22901950776577,
      0.127969726920128,
      0.203061208128929,
      0.326760947704315,
      0.591176092624664,
      0.481329172849655,
      0.137699216604233,
      0.458469986915588,
      0.323609530925751,
      0.32889997959137,
      0.178844138979912,
      0.206369563937187,
      0.200720682740211,
      0.395873934030533,
      0.34131583571434,
      0.446950733661652,
      0.173510119318962,
      0.270768642425537,
      0.236184909939766,
      0.274796068668365,
      0.204032018780708,
      0.255814909934998,
      0.326260298490524,
      0.157984361052513,
      0.155263409018517,
      0.210843488574028,
      0.404133647680283,
      0.473032802343369,
      0.33507513999939,
      0.263719171285629,
      0.354164212942123,
      0.290209233760834,
      0.490803122520447,
      0.269774556159973,
      0.373311638832092,
      0.437067180871964,
      0.738883435726166,
      0.440408617258072,
      0.129065945744514,
      0.150441035628319,
      0.36166188120842,
      0.49419954419136,
      0.19305519759655,
      0.138381227850914,
      0.822031915187836,
      0.817579090595245,
      0.345322012901306,
      0.781283617019653,
      0.15040123462677,
      0.510829091072083,
      0.188557475805283,
      0.185192748904228,
      0.281826674938202,
      0.429102569818497,
      0.509009540081024,
      0.186528638005257,
      0.258199125528336,
      0.165087014436722,
      0.249720826745033,
      0.277245253324509,
      0.517165422439575,
      0.176734089851379,
      0.129382252693176,
      0.358157128095627,
      0.280656307935715,
      0.182322159409523,
      0.220999971032143,
      0.653227984905243,
      0.279458612203598,
      0.439893066883087,
      0.790110886096954,
      0.423149734735489,
      0.349407970905304,
      0.36744698882103,
      0.152566909790039,
      0.147780001163483,
      0.331736505031586,
      0.554076552391052,
      0.408907920122147,
      0.463751465082169,
      0.174097403883934,
      0.296864420175552,
      0.207992538809776,
      0.207951784133911,
      0.4069704413414,
      0.0958825573325157,
      0.161887764930725,
      0.178251132369041,
      0.318080276250839,
      0.242921829223633,
      0.165306434035301,
      0.529954075813293,
      0.887027442455292,
      0.505376636981964,
      0.269066154956818,
      0.784929931163788,
      0.163507685065269,
      0.795591354370117,
      0.577909886837006,
      0.173866778612137,
      0.345145732164383,
      0.689778447151184,
      0.357480317354202,
      0.310031354427338,
      0.326945155858994,
      0.31859815120697,
      0.694933414459229,
      0.426125347614288,
      0.207600310444832,
      0.538645565509796,
      0.384011715650558,
      0.447536259889603,
      0.502737641334534,
      0.464521318674088,
      0.198582991957664,
      0.210619315505028,
      0.167457550764084,
      0.285740494728088,
      0.451992064714432,
      0.246487095952034,
      0.339010864496231,
      0.384233087301254,
      0.247432127594948,
      0.78253298997879,
      0.340897351503372,
      0.159376129508018,
      0.767036020755768,
      0.3799789249897,
      0.474519640207291,
      0.501489460468292,
      0.222353756427765,
      0.394654482603073,
      0.275302559137344,
      0.165478214621544,
      0.170730203390121,
      0.297928065061569,
      0.494782775640488,
      0.445808321237564,
      0.162251755595207,
      0.338022023439407,
      0.297089397907257,
      0.256201207637787,
      0.213777214288712,
      0.31155264377594,
      0.101228937506676,
      0.202466115355492,
      0.752041280269623,
      0.396719515323639,
      0.396238505840302,
      0.468401879072189,
      0.35260996222496,
      0.324873685836792,
      0.509602606296539,
      0.235237196087837,
      0.662407875061035,
      0.486317694187164,
      0.506361961364746,
      0.162319213151932,
      0.384731352329254,
      0.110569126904011,
      0.274463444948196,
      0.319493472576141,
      0.169071406126022,
      0.497596949338913,
      0.179108157753944,
      0.161499634385109,
      0.302595257759094,
      0.870907664299011,
      0.127887785434723,
      0.707899510860443,
      0.282370150089264,
      0.188112273812294,
      0.217530563473701,
      0.201722621917725,
      0.188468903303146,
      0.43688777089119,
      0.779483675956726,
      0.159653291106224,
      0.328042149543762,
      0.259547412395477,
      0.356039702892303,
      0.793670237064362,
      0.33748733997345,
      0.192201882600784,
      0.573059797286987,
      0.377465665340424,
      0.371944755315781,
      0.204926058650017,
      0.138271391391754,
      0.115492209792137,
      0.117382273077965,
      0.8141730427742,
      0.470818102359772,
      0.398219048976898,
      0.295863121747971,
      0.402824819087982,
      0.962529599666595,
      0.246506556868553,
      0.427479356527328,
      0.130894169211388,
      0.138651326298714,
      0.53037565946579,
      0.297609567642212,
      0.167509466409683,
      0.140749216079712,
      0.197824969887733,
      0.577963769435883,
      0.320357978343964,
      0.164221420884132,
      0.262644648551941,
      0.250284552574158,
      0.568318724632263,
      0.87313175201416,
      0.131873100996017,
      0.375755071640015,
      0.831848382949829,
      0.30594277381897,
      0.254276305437088,
      0.787799715995789,
      0.167460471391678,
      0.180248320102692,
      0.719264447689056,
      0.479493796825409,
      0.368865936994553,
      0.452980220317841,
      0.301777631044388,
      0.872326254844666,
      0.616925358772278,
      0.399195045232773,
      0.380209714174271,
      0.158562541007996,
      0.263827383518219,
      0.278005361557007,
      0.362314492464066,
      0.265862852334976,
      0.391379356384277,
      0.473177641630173,
      0.0848838910460472,
      0.240456834435463,
      0.146608099341393,
      0.234140679240227,
      0.171495467424393,
      0.234507411718369,
      0.388957262039185,
      0.711249470710754,
      0.349175691604614,
      0.255585819482803,
      0.494241565465927,
      0.22936038672924,
      0.111162953078747,
      0.520115435123444,
      0.657652735710144,
      0.398259848356247,
      0.27334800362587,
      0.378543496131897,
      0.403005689382553,
      0.809291541576385,
      0.182442754507065,
      0.235816851258278,
      0.119647212326527,
      0.392635673284531,
      0.174855321645737,
      0.155415564775467,
      0.143324285745621,
      0.153323039412498,
      0.156084582209587,
      0.159071058034897,
      0.213994011282921,
      0.444299787282944,
      0.294413030147552,
      0.244592785835266,
      0.42025750875473,
      0.291778981685638,
      0.569179952144623,
      0.297342330217361,
      0.169529139995575,
      0.243876546621323,
      0.140575364232063,
      0.147877499461174,
      0.615392625331879,
      0.18635293841362,
      0.149663209915161,
      0.16775980591774,
      0.278093248605728,
      0.213928446173668,
      0.47102364897728,
      0.524043619632721,
      0.413726687431335,
      0.230093359947205,
      0.353267759084702,
      0.300450325012207,
      0.60204553604126,
      0.165733531117439,
      0.132605344057083,
      0.122071407735348,
      0.324332237243652,
      0.148215383291245,
      0.466356188058853,
      0.193252056837082,
      0.248355522751808,
      0.22677256166935,
      0.305521339178085,
      0.345582544803619,
      0.238117575645447,
      0.232644706964493,
      0.322842568159103,
      0.17603787779808,
      0.510085105895996,
      0.240865111351013,
      0.143943876028061,
      0.173497393727303,
      0.229843512177467,
      0.21263113617897,
      0.203341364860535,
      0.494133830070496,
      0.24407547712326,
      0.529345035552979,
      0.174523577094078,
      0.152621701359749,
      0.521274626255035,
      0.336403161287308,
      0.430938392877579,
      0.11227610707283,
      0.254981487989426,
      0.140966132283211,
      0.318347990512848,
      0.270992428064346,
      0.402853161096573,
      0.153755277395248,
      0.361928701400757,
      0.208618372678757,
      0.230221852660179,
      0.142181217670441,
      0.403122425079346,
      0.131728813052177,
      0.260247081518173,
      0.375576347112656,
      0.360289037227631,
      0.428479343652725,
      0.349554806947708,
      0.345345616340637,
      0.37691605091095,
      0.188968226313591,
      0.423626035451889,
      0.62097841501236,
      0.135596543550491,
      0.248468011617661,
      0.242346599698067,
      0.158275619149208,
      0.51714301109314,
      0.361691534519196,
      0.523720800876617,
      0.362241387367249,
      0.437637686729431,
      0.513651847839355,
      0.254913777112961,
      0.190608248114586,
      0.650938451290131,
      0.496259838342667,
      0.258475542068481,
      0.204105794429779,
      0.358364015817642,
      0.127766132354736,
      0.375494301319122,
      0.176049411296844,
      0.371966630220413,
      0.207869425415993,
      0.127835050225258,
      0.378330945968628,
      0.145797982811928,
      0.208131521940231,
      0.318130850791931,
      0.312292724847794,
      0.257357507944107,
      0.357395797967911,
      0.409945756196976,
      0.331330537796021,
      0.716184556484222,
      0.258279919624329,
      0.712493121623993,
      0.143930971622467,
      0.16117762029171,
      0.168553754687309,
      0.171843901276588,
      0.223165661096573,
      0.295098721981049,
      0.348243921995163,
      0.313842952251434,
      0.455313444137573,
      0.37842857837677,
      0.485206544399261,
      0.564110577106476,
      0.413544803857803,
      0.609735667705536,
      0.603761196136475,
      0.131169855594635,
      0.230097651481628,
      0.503054678440094,
      0.301391631364822,
      0.982752680778503,
      0.251907795667648,
      0.672688245773315,
      0.495085030794144,
      0.181207969784737,
      0.124512061476707,
      0.215673759579659,
      0.270110040903091,
      0.617196619510651,
      0.434674233198166,
      0.287725359201431,
      0.351919561624527,
      0.389539152383804,
      0.270470052957535,
      0.316086500883102,
      0.272980511188507,
      0.360752731561661,
      0.165954127907753,
      0.181606188416481,
      0.115225270390511,
      0.57809442281723,
      0.431044906377792,
      0.160563975572586,
      0.405012935400009,
      0.888103008270264,
      0.671671807765961,
      0.388337850570679,
      0.716702938079834,
      0.54243677854538,
      0.496548056602478,
      0.188781633973122,
      0.309821128845215,
      0.547273516654968,
      0.194377020001411,
      0.193537026643753,
      0.302628040313721,
      0.147226274013519,
      0.203445822000504,
      0.175095960497856,
      0.415265649557114,
      0.909393489360809,
      0.448702961206436,
      0.187625661492348,
      0.285615652799606,
      0.213045671582222,
      0.211633414030075,
      0.317794740200043,
      0.344585716724396,
      0.12634103000164,
      0.265586286783218,
      0.141791313886642,
      0.302861094474792,
      0.339811652898788,
      0.25636425614357,
      0.350074231624603,
      0.788549363613129,
      0.421016216278076,
      0.367370694875717,
      0.489148765802383,
      0.474892854690552,
      0.429326921701431,
      0.524411559104919,
      0.139807432889938,
      0.428701460361481,
      0.339278876781464,
      0.80637264251709,
      0.168058708310127,
      0.610959112644196,
      0.257763504981995,
      0.211632341146469,
      0.266700834035873,
      0.137960851192474,
      0.365154296159744,
      0.202240526676178,
      0.169416531920433,
      0.127585187554359,
      0.130334854125977,
      0.420750260353088,
      0.145764082670212,
      0.211156338453293,
      0.416049480438232,
      0.288512408733368,
      0.376788139343262,
      0.355281829833984,
      0.404954016208649,
      0.201255023479462,
      0.430291056632996,
      0.279295831918716,
      0.582753837108612,
      0.167609632015228,
      0.202837452292442,
      0.23405633866787,
      0.158819884061813,
      0.42621710896492,
      0.330966532230377,
      0.387981474399567,
      0.28826105594635,
      0.429767459630966,
      0.448168337345123,
      0.230924695730209,
      0.712446451187134,
      0.57118147611618,
      0.460029691457748,
      0.186026960611343,
      0.449415981769562,
      0.94420313835144,
      0.160114362835884,
      0.293598204851151,
      0.128769084811211,
      0.382970690727234,
      0.19862288236618,
      0.228409230709076,
      0.122116811573505,
      0.12241081148386,
      0.175195679068565,
      0.261359870433807,
      0.267718374729156,
      0.181742861866951,
      0.435379445552826,
      0.400916457176208,
      0.367495000362396,
      0.320866882801056,
      0.569018542766571,
      0.538673281669617,
      0.149492099881172,
      0.219909310340881,
      0.281322807073593,
      0.186866849660873,
      0.126325890421867,
      0.638991177082062,
      0.249651357531548,
      0.222753196954727,
      0.257536590099335,
      0.281483680009842,
      0.279671281576157,
      0.518891513347626,
      0.706883728504181,
      0.489396691322327,
      0.417023092508316,
      0.3897645175457,
      0.432048559188843,
      0.257628560066223,
      0.163917049765587,
      0.261784493923187,
      0.148820430040359,
      0.445857971906662,
      0.166416898369789,
      0.155680939555168,
      0.184196561574936,
      0.18636229634285,
      0.195891246199608,
      0.215601980686188,
      0.324725210666656,
      0.357148557901382,
      0.300829350948334,
      0.270901530981064,
      0.41163045167923,
      0.282692313194275,
      0.239368587732315,
      0.327303171157837,
      0.183914557099342,
      0.164964973926544,
      0.27491357922554,
      0.1710245013237,
      0.17067314684391,
      0.136514320969582,
      0.216408431529999,
      0.715326130390167,
      0.169589847326279,
      0.344491183757782,
      0.210617810487747,
      0.419645696878433,
      0.503819227218628,
      0.380302846431732,
      0.267955541610718,
      0.260228872299194,
      0.366500109434128,
      0.59140807390213,
      0.166955649852753,
      0.20446802675724,
      0.129798382520676,
      0.355598777532578,
      0.161074191331863,
      0.571100473403931,
      0.175871670246124,
      0.296860843896866,
      0.166656225919724,
      0.322393149137497,
      0.41033673286438,
      0.224477350711823,
      0.233809590339661,
      0.349666327238083,
      0.315229535102844,
      0.402434140443802,
      0.266715675592422,
      0.127701550722122,
      0.162122994661331,
      0.209771335124969,
      0.187846377491951,
      0.122223183512688,
      0.202362582087517,
      0.606999039649963,
      0.175018534064293,
      0.144222572445869,
      0.478796899318695,
      0.425181001424789,
      0.152021050453186,
      0.174299240112305,
      0.137930572032928,
      0.24561420083046,
      0.156798094511032,
      0.167510151863098,
      0.0958026647567749,
      0.53798770904541,
      0.178651109337807,
      0.108770176768303,
      0.152492299675941,
      0.301879078149796,
      0.0993292480707169,
      0.105805948376656,
      0.115608856081963,
      0.113965556025505,
      0.10199385881424,
      0.185524463653564,
      0.176667124032974,
      0.162261292338371,
      0.0908684805035591,
      0.393137902021408,
      0.225877031683922,
      0.229237675666809,
      0.552721381187439,
      0.19879387319088,
      0.177479967474937,
      0.280354052782059,
      0.194353848695755,
      0.153539806604385,
      0.196798294782639,
      0.208683535456657,
      0.157243981957436,
      0.14352859556675,
      0.214237615466118
    ],
    "drum_pattern_type": "irregular",
    "drum_pattern_confidence": 0,
    "analysis_created_at": "2026-03-22T15:28:29.925792+00:00",
    "analysis_updated_at": "2026-03-22T16:25:30.612234+00:00",
    "kick_timestamps": [
      6.24,
      6.944,
      7.648,
      8.34133333333333,
      9.03466666666667,
      9.73866666666667,
      10.432,
      11.1253333333333,
      11.8293333333333,
      12.4586666666667,
      13.3973333333333,
      13.8666666666667,
      14.624,
      14.784,
      15.6693333333333,
      15.84,
      16.192,
      16.3626666666667,
      17.408,
      18.4533333333333,
      18.6346666666667,
      18.976,
      20.2026666666667,
      21.248,
      21.4186666666667,
      21.76,
      21.9413333333333,
      22.464,
      22.9866666666667,
      23.6266666666667,
      24.032,
      24.5546666666667,
      25.0346666666667,
      25.7813333333333,
      25.9413333333333,
      26.8266666666667,
      26.9973333333333,
      27.3493333333333,
      27.52,
      28.0533333333333,
      28.5653333333333,
      29.6213333333333,
      29.792,
      30.144,
      32.4053333333333,
      32.5866666666667,
      33.0986666666667,
      33.632,
      34.144,
      35.2,
      35.7226666666667,
      36.9386666666667,
      37.984,
      38.1653333333333,
      38.5066666666667,
      38.688,
      39.2106666666667,
      39.7333333333333,
      40.7786666666667,
      40.9493333333333,
      41.3013333333333,
      42.528,
      43.5733333333333,
      43.744,
      44.0853333333333,
      44.2666666666667,
      44.7893333333333,
      45.312,
      46.3573333333333,
      46.88,
      48.096,
      49.152,
      49.3226666666667,
      49.6746666666667,
      49.8453333333333,
      50.368,
      50.8906666666667,
      51.936,
      52.1173333333333,
      52.4586666666667,
      56.48,
      57.664,
      57.8773333333333,
      58.016,
      58.2186666666667,
      58.368,
      58.5706666666667,
      58.7093333333333,
      59.264,
      60.3093333333333,
      60.832,
      62.048,
      63.2533333333333,
      63.456,
      63.5946666666667,
      63.808,
      63.9466666666667,
      64.1493333333333,
      64.2986666666667,
      65.1946666666667,
      67.6373333333333,
      68.832,
      69.0346666666667,
      69.1733333333333,
      69.3866666666667,
      69.5253333333333,
      69.8773333333333,
      70.4213333333333,
      70.4853333333333,
      71.4666666666667,
      72,
      74.4106666666667,
      74.6133333333333,
      74.7626666666667,
      74.9653333333333,
      75.104,
      75.3173333333333,
      75.456,
      76.352,
      78.7946666666667,
      79.84,
      80.3626666666667,
      81.5786666666667,
      81.7706666666667,
      82.624,
      82.8053333333333,
      83.328,
      83.8613333333333,
      84.3733333333333,
      85.4293333333333,
      85.6,
      85.952,
      87.168,
      88.2133333333333,
      88.384,
      88.736,
      88.9066666666667,
      89.44,
      89.9626666666667,
      90.9973333333333,
      91.5306666666667,
      92.7466666666667,
      92.9173333333333,
      93.8026666666667,
      93.9733333333333,
      94.3146666666667,
      94.496,
      95.0186666666667,
      95.5413333333333,
      96.5866666666667,
      96.7573333333333,
      97.1093333333333,
      98.3253333333333,
      99.3706666666667,
      99.552,
      99.8933333333333,
      100.074666666667,
      100.597333333333,
      101.12,
      102.165333333333,
      102.688,
      103.914666666667,
      104.949333333333,
      105.130666666667,
      105.482666666667,
      105.653333333333,
      106.176,
      106.698666666667,
      107.744,
      107.925333333333,
      108.266666666667,
      109.493333333333,
      110.538666666667,
      110.709333333333,
      110.88,
      111.061333333333,
      111.232,
      111.754666666667,
      112.288,
      113.333333333333,
      113.845333333333,
      115.072,
      116.117333333333,
      116.298666666667,
      116.64,
      116.821333333333,
      117.344,
      117.866666666667,
      118.912,
      119.082666666667,
      119.424,
      122.037333333333,
      123.445333333333,
      124.490666666667,
      124.64,
      124.842666666667,
      124.981333333333,
      125.194666666667,
      125.333333333333,
      125.536,
      125.685333333333,
      126.229333333333,
      126.293333333333,
      127.274666666667,
      127.808,
      129.024,
      130.069333333333,
      130.218666666667,
      130.421333333333,
      130.56,
      130.773333333333,
      130.912,
      131.125333333333,
      131.264,
      131.808,
      131.872,
      133.386666666667,
      134.602666666667,
      134.805333333333,
      135.797333333333,
      136.010666666667,
      136.149333333333,
      136.352,
      136.490666666667,
      136.704,
      136.842666666667,
      137.397333333333,
      137.461333333333,
      138.08,
      140.181333333333,
      141.376,
      141.589333333333,
      141.728,
      141.941333333333,
      142.08,
      142.282666666667,
      142.421333333333,
      143.328,
      151.349333333333,
      152.042666666667,
      152.746666666667,
      153.44,
      154.133333333333,
      154.837333333333,
      155.530666666667,
      156.234666666667,
      156.928,
      157.973333333333,
      158.496,
      159.893333333333,
      160.768,
      160.938666666667,
      161.290666666667,
      161.461333333333,
      161.984,
      162.506666666667,
      163.552,
      163.733333333333,
      164.074666666667,
      165.290666666667,
      166.346666666667,
      166.517333333333,
      166.869333333333,
      167.04,
      167.562666666667,
      168.096,
      169.28,
      169.493333333333,
      169.632,
      169.834666666667,
      169.973333333333,
      170.186666666667,
      170.325333333333,
      170.88,
      170.944,
      171.562666666667,
      172.448,
      173.674666666667,
      174.72,
      174.869333333333,
      175.072,
      175.424,
      175.562666666667,
      175.765333333333,
      175.904,
      176.458666666667,
      176.522666666667,
      177.504,
      178.037333333333,
      179.253333333333,
      180.448,
      180.650666666667,
      180.789333333333,
      181.002666666667,
      181.141333333333,
      181.344,
      181.493333333333,
      182.037333333333,
      182.101333333333,
      183.082666666667,
      183.605333333333,
      184.832,
      185.877333333333,
      186.026666666667,
      186.229333333333,
      186.368,
      186.581333333333,
      186.72,
      186.933333333333,
      187.072,
      187.968
    ],
    "snare_timestamps": [
      6.12266666666667,
      6.79466666666667,
      7.168,
      8.224,
      8.576,
      9.61066666666667,
      10.304,
      10.656,
      10.9973333333333,
      11.4773333333333,
      12.864,
      16.8853333333333,
      31.3493333333333,
      32.9173333333333,
      57.5146666666667,
      59.9466666666667,
      63.0933333333333,
      65.5253333333333,
      65.888,
      68.672,
      69.728,
      71.104,
      73.216,
      76.6826666666667,
      77.0453333333333,
      83.1573333333333,
      126.912,
      132.490666666667,
      132.853333333333,
      135.648,
      138.432,
      138.965333333333,
      141.226666666667,
      143.658666666667,
      144.010666666667,
      156.576,
      159.701333333333,
      169.130666666667,
      171.914666666667,
      175.2,
      177.141333333333,
      180.288,
      182.72,
      188.298666666667,
      188.661333333333,
      197.344,
      198.965333333333,
      199.146666666667,
      199.733333333333,
      199.914666666667,
      200.032,
      200.309333333333,
      200.405333333333,
      200.512,
      201.045333333333,
      201.141333333333,
      201.408
    ],
    "hihat_timestamps": [
      11.3066666666667,
      12.1813333333333,
      12.352,
      12.5226666666667,
      12.704,
      13.0453333333333,
      13.2266666666667,
      13.5786666666667,
      13.7493333333333,
      13.92,
      14.1013333333333,
      14.272,
      14.432,
      14.9653333333333,
      15.1466666666667,
      15.3066666666667,
      15.4986666666667,
      16.0213333333333,
      16.544,
      16.704,
      17.0666666666667,
      17.2266666666667,
      17.76,
      17.9306666666667,
      18.1013333333333,
      18.2826666666667,
      18.8053333333333,
      19.1573333333333,
      19.328,
      19.4986666666667,
      19.68,
      19.8506666666667,
      20.0213333333333,
      20.5546666666667,
      20.7253333333333,
      20.896,
      21.0773333333333,
      21.6,
      22.1226666666667,
      22.2933333333333,
      22.6453333333333,
      22.816,
      23.3386666666667,
      23.52,
      23.6906666666667,
      23.8613333333333,
      24.2133333333333,
      24.384,
      24.736,
      24.9066666666667,
      25.0773333333333,
      25.2586666666667,
      25.4293333333333,
      25.6,
      26.1226666666667,
      26.304,
      26.4746666666667,
      26.656,
      27.1786666666667,
      27.7013333333333,
      27.872,
      28.224,
      28.384,
      28.928,
      29.0986666666667,
      29.2586666666667,
      29.44,
      29.9626666666667,
      30.3146666666667,
      30.4853333333333,
      30.656,
      30.8373333333333,
      31.008,
      31.1893333333333,
      31.712,
      31.8826666666667,
      32.0533333333333,
      32.2346666666667,
      32.7573333333333,
      33.28,
      33.4506666666667,
      33.8026666666667,
      33.984,
      34.496,
      34.6773333333333,
      34.8266666666667,
      34.8586666666667,
      35.0293333333333,
      35.3706666666667,
      35.552,
      35.904,
      36.0746666666667,
      36.2346666666667,
      36.416,
      36.5973333333333,
      36.7786666666667,
      37.3013333333333,
      37.472,
      37.632,
      37.8133333333333,
      38.3466666666667,
      38.8586666666667,
      39.0293333333333,
      39.3813333333333,
      39.5626666666667,
      40.0853333333333,
      40.256,
      40.4266666666667,
      40.608,
      41.1306666666667,
      41.4826666666667,
      41.6533333333333,
      41.824,
      42.0053333333333,
      42.176,
      42.3573333333333,
      42.8586666666667,
      43.0506666666667,
      43.2106666666667,
      43.3813333333333,
      43.9253333333333,
      44.4373333333333,
      44.6186666666667,
      44.9706666666667,
      45.1306666666667,
      45.6,
      45.664,
      45.8346666666667,
      45.9946666666667,
      46.0266666666667,
      46.1866666666667,
      46.5386666666667,
      46.7093333333333,
      47.0613333333333,
      47.232,
      47.4026666666667,
      47.584,
      47.7546666666667,
      47.9253333333333,
      48.4373333333333,
      48.6293333333333,
      48.7893333333333,
      48.9813333333333,
      49.504,
      50.0266666666667,
      50.1653333333333,
      50.1973333333333,
      50.5493333333333,
      50.72,
      51.2426666666667,
      51.4133333333333,
      51.584,
      51.7653333333333,
      52.288,
      52.64,
      52.8106666666667,
      52.9813333333333,
      53.1626666666667,
      53.3333333333333,
      53.5146666666667,
      53.6853333333333,
      53.8666666666667,
      54.0266666666667,
      54.208,
      54.3786666666667,
      54.56,
      54.7306666666667,
      54.9013333333333,
      55.0826666666667,
      55.2213333333333,
      55.4346666666667,
      55.5946666666667,
      55.776,
      55.9573333333333,
      56.128,
      56.2986666666667,
      56.832,
      57.0026666666667,
      57.1626666666667,
      57.344,
      58.4106666666667,
      58.9226666666667,
      59.0933333333333,
      59.1573333333333,
      59.2213333333333,
      59.3706666666667,
      59.6053333333333,
      59.7866666666667,
      60.1493333333333,
      60.2346666666667,
      60.4906666666667,
      60.672,
      61.0133333333333,
      61.184,
      61.3546666666667,
      61.536,
      61.7066666666667,
      61.8773333333333,
      62.4106666666667,
      62.5813333333333,
      62.7413333333333,
      62.9226666666667,
      64.5013333333333,
      64.672,
      64.736,
      64.8106666666667,
      64.8426666666667,
      64.9066666666667,
      64.96,
      65.3653333333333,
      65.728,
      65.8133333333333,
      66.08,
      66.592,
      66.7626666666667,
      66.9333333333333,
      67.1146666666667,
      67.2853333333333,
      67.4666666666667,
      67.9893333333333,
      68.16,
      68.3306666666667,
      68.512,
      69.568,
      70.08,
      70.2506666666667,
      70.3146666666667,
      70.3893333333333,
      70.5386666666667,
      70.7733333333333,
      70.944,
      71.3066666666667,
      71.648,
      71.8293333333333,
      72.1813333333333,
      72.352,
      72.512,
      72.6933333333333,
      72.864,
      73.0453333333333,
      73.568,
      73.7386666666667,
      73.9093333333333,
      74.0906666666667,
      74.2506666666667,
      75.6693333333333,
      75.8293333333333,
      75.904,
      75.968,
      76,
      76.064,
      76.1173333333333,
      76.5333333333333,
      77.2373333333333,
      77.4186666666667,
      77.6853333333333,
      77.76,
      77.9306666666667,
      78.1013333333333,
      78.272,
      78.4533333333333,
      78.624,
      79.1466666666667,
      79.488,
      79.6693333333333,
      80.0213333333333,
      80.2026666666667,
      80.544,
      80.7146666666667,
      80.8853333333333,
      81.0666666666667,
      81.2373333333333,
      81.4186666666667,
      81.9306666666667,
      82.112,
      82.2826666666667,
      82.464,
      82.9866666666667,
      83.5093333333333,
      83.68,
      84.032,
      84.2026666666667,
      84.736,
      84.9066666666667,
      85.0666666666667,
      85.248,
      85.7813333333333,
      86.1226666666667,
      86.304,
      86.464,
      86.6453333333333,
      86.8266666666667,
      86.9973333333333,
      87.4986666666667,
      87.5306666666667,
      87.6906666666667,
      87.8613333333333,
      88.0426666666667,
      88.5653333333333,
      89.0986666666667,
      89.248,
      89.6106666666667,
      89.792,
      90.3146666666667,
      90.656,
      90.8373333333333,
      91.1786666666667,
      91.36,
      91.712,
      91.8826666666667,
      92.0426666666667,
      92.2346666666667,
      92.4053333333333,
      92.576,
      93.0773333333333,
      93.2693333333333,
      93.44,
      93.6213333333333,
      93.7706666666667,
      94.1546666666667,
      94.6666666666667,
      94.848,
      95.1893333333333,
      95.3706666666667,
      95.8933333333333,
      96.064,
      96.2346666666667,
      96.416,
      96.9386666666667,
      97.2906666666667,
      97.4613333333333,
      97.632,
      97.8133333333333,
      97.984,
      98.1546666666667,
      98.6666666666667,
      98.8586666666667,
      98.9973333333333,
      99.0293333333333,
      99.2106666666667,
      99.7333333333333,
      100.416,
      100.778666666667,
      100.949333333333,
      101.472,
      101.642666666667,
      101.802666666667,
      101.994666666667,
      102.346666666667,
      102.517333333333,
      102.869333333333,
      103.04,
      103.2,
      103.392,
      103.573333333333,
      103.744,
      104.266666666667,
      104.437333333333,
      104.608,
      104.789333333333,
      105.312,
      105.834666666667,
      105.994666666667,
      106.357333333333,
      106.528,
      107.050666666667,
      107.232,
      107.392,
      107.573333333333,
      108.096,
      108.448,
      108.618666666667,
      108.778666666667,
      108.970666666667,
      109.141333333333,
      109.322666666667,
      109.834666666667,
      110.016,
      110.186666666667,
      110.368,
      111.413333333333,
      111.573333333333,
      111.946666666667,
      112.106666666667,
      112.64,
      112.810666666667,
      112.970666666667,
      113.162666666667,
      113.504,
      113.685333333333,
      114.026666666667,
      114.208,
      114.368,
      114.549333333333,
      114.730666666667,
      114.901333333333,
      115.424,
      115.594666666667,
      115.765333333333,
      115.946666666667,
      116.469333333333,
      116.992,
      117.162666666667,
      117.514666666667,
      117.685333333333,
      118.208,
      118.389333333333,
      118.56,
      118.741333333333,
      119.264,
      119.605333333333,
      119.786666666667,
      119.946666666667,
      120.138666666667,
      120.309333333333,
      120.48,
      120.661333333333,
      120.896,
      121.002666666667,
      121.173333333333,
      121.344,
      121.525333333333,
      121.696,
      121.877333333333,
      122.4,
      122.570666666667,
      122.741333333333,
      122.922666666667,
      123.093333333333,
      123.274666666667,
      123.797333333333,
      123.968,
      124.138666666667,
      124.32,
      125.376,
      125.888,
      126.058666666667,
      126.122666666667,
      126.197333333333,
      126.346666666667,
      126.581333333333,
      126.762666666667,
      127.114666666667,
      127.456,
      127.637333333333,
      127.978666666667,
      128.149333333333,
      128.32,
      128.501333333333,
      128.672,
      128.853333333333,
      129.376,
      129.546666666667,
      129.717333333333,
      129.898666666667,
      131.477333333333,
      131.637333333333,
      131.712,
      131.776,
      131.925333333333,
      132.16,
      132.341333333333,
      132.693333333333,
      132.789333333333,
      133.045333333333,
      133.152,
      133.557333333333,
      133.738666666667,
      133.898666666667,
      134.08,
      134.261333333333,
      134.432,
      134.954666666667,
      135.125333333333,
      135.296,
      135.477333333333,
      137.056,
      137.226666666667,
      137.290666666667,
      137.354666666667,
      137.504,
      137.738666666667,
      137.92,
      138.272,
      138.624,
      138.784,
      139.146666666667,
      139.317333333333,
      139.488,
      139.669333333333,
      139.84,
      140.010666666667,
      140.544,
      140.714666666667,
      140.874666666667,
      141.056,
      142.122666666667,
      142.634666666667,
      142.805333333333,
      142.869333333333,
      142.933333333333,
      142.976,
      143.04,
      143.093333333333,
      143.498666666667,
      143.861333333333,
      144.202666666667,
      144.373333333333,
      144.650666666667,
      144.725333333333,
      144.896,
      145.066666666667,
      145.248,
      145.418666666667,
      145.6,
      153.685333333333,
      156.405333333333,
      157.28,
      157.450666666667,
      157.621333333333,
      157.802666666667,
      158.154666666667,
      158.325333333333,
      158.677333333333,
      158.848,
      159.018666666667,
      159.2,
      159.370666666667,
      159.541333333333,
      160.074666666667,
      160.245333333333,
      160.405333333333,
      160.597333333333,
      161.12,
      161.642666666667,
      161.802666666667,
      162.165333333333,
      162.325333333333,
      162.858666666667,
      163.029333333333,
      163.2,
      163.381333333333,
      163.914666666667,
      164.256,
      164.426666666667,
      164.597333333333,
      164.778666666667,
      164.949333333333,
      165.12,
      165.482666666667,
      165.653333333333,
      165.824,
      165.994666666667,
      166.176,
      166.698666666667,
      167.221333333333,
      167.392,
      167.744,
      167.914666666667,
      168.437333333333,
      168.618666666667,
      168.778666666667,
      168.96,
      170.026666666667,
      170.538666666667,
      170.709333333333,
      170.773333333333,
      170.837333333333,
      170.986666666667,
      171.232,
      171.402666666667,
      171.765333333333,
      172.106666666667,
      172.277333333333,
      172.629333333333,
      172.8,
      172.970666666667,
      173.152,
      173.322666666667,
      173.493333333333,
      174.026666666667,
      174.197333333333,
      174.357333333333,
      174.549333333333,
      175.957333333333,
      176.117333333333,
      176.288,
      176.352,
      176.416,
      176.576,
      176.810666666667,
      176.992,
      177.344,
      177.429333333333,
      177.685333333333,
      177.802666666667,
      178.208,
      178.378666666667,
      178.549333333333,
      178.730666666667,
      178.901333333333,
      179.082666666667,
      179.605333333333,
      179.776,
      179.946666666667,
      180.128,
      181.184,
      181.696,
      181.866666666667,
      181.930666666667,
      182.005333333333,
      182.154666666667,
      182.389333333333,
      182.56,
      182.922666666667,
      183.008,
      183.264,
      183.445333333333,
      183.786666666667,
      183.968,
      184.128,
      184.309333333333,
      184.48,
      184.661333333333,
      185.184,
      185.354666666667,
      185.525333333333,
      185.706666666667,
      187.285333333333,
      187.445333333333,
      187.52,
      187.584,
      187.616,
      187.68,
      187.733333333333,
      188.149333333333,
      188.501333333333,
      188.597333333333,
      188.853333333333,
      189.024,
      189.365333333333,
      189.546666666667,
      189.706666666667,
      189.888,
      190.069333333333,
      190.24,
      190.666666666667,
      190.794666666667,
      190.912,
      191.114666666667,
      191.488,
      191.904,
      192.085333333333,
      192.512,
      193.184,
      193.354666666667,
      193.557333333333,
      193.898666666667,
      194.08,
      194.346666666667,
      194.581333333333,
      194.762666666667,
      194.848,
      195.296,
      196.693333333333,
      197.685333333333,
      198.090666666667,
      199.488,
      200.874666666667
    ]
  },
  "tier2": {
    "motif_uniqueness": 0.91,
    "structural_predictability": 0.38,
    "genre_conformity_score": 0.18,
    "innovation_score": 0.84,
    "signal_entropy": 0.17,
    "hook_density": 0.74,
    "hook_strength": 0.76,
    "emotional_balance": 0.46,
    "narrative_curvature": 0.44,
    "visual_brightness_curve": [
      0,
      0,
      0.850000804662704,
      0.850000509619713,
      0.795445307145149,
      0.850001063942909,
      0.817540982185675,
      0.850001305341721,
      0.850001305341721,
      0.779433504936134,
      0.850000956654549,
      0.759229091885861,
      0.850000509619713,
      0.798590049712665,
      0.850000017881393,
      0.85003172159195,
      0.720162551854535,
      0.850000017881393,
      0.850003576278687,
      0.808735735034365,
      0.850000062584877,
      0.850000035762787,
      0.850023826956749,
      0.850000151991844,
      0.85,
      0.850000697374344,
      0.850000151991844,
      0.850000277161598,
      0.850004854798317,
      0.850004452466965,
      0.850000867247582,
      0.85000067949295,
      0.850039759278297,
      0.85003654062748,
      0.850028252601624,
      0.850028252601624,
      0.850000062584877,
      0.85005276799202,
      0.85003490447998,
      0.85005350112915,
      0.850000527501106,
      0.850081253051758,
      0.850041869282723,
      0.850069835782051,
      0.850093591213226,
      0.85002948641777,
      0.85004198551178,
      0.850031551718712,
      0.850000214576721,
      0.850001922249794,
      0.850000169873238,
      0.850000706315041,
      0.850005820393562,
      0.85000171661377,
      0.850003379583359,
      0.850028225779533,
      0.850047886371613,
      0.850015726685524,
      0.850033393502235,
      0.850061127543449,
      0.850060322880745,
      0.850041100382805,
      0.85003899037838,
      0.85003654062748,
      0.850071874260902,
      0.850051337480545,
      0.850057291984558,
      0.850030881166458,
      0.850073206424713,
      0.850043666362762,
      0.850043666362762,
      0.850002360343933,
      0.850002709031105,
      0.850001519918442,
      0.850041922926903,
      0.850005158782005,
      0.850000214576721,
      0.850022923946381,
      0.850009495019913,
      0.850041431188583,
      0.850036773085594,
      0.850035226345062,
      0.850032544136047,
      0.850040644407272,
      0.850044023990631,
      0.850048163533211,
      0.850043675303459,
      0.85005464553833,
      0.850052776932716,
      0.850044050812721,
      0.850038766860962,
      0.850034520030022,
      0.850025337934494,
      0.850033017992973,
      0.85000471174717,
      0.850000214576721,
      0.850000151991844,
      0.850003558397293,
      0.850003898143768,
      0.850000303983688,
      0.850000715255737,
      0.850044077634811,
      0.850038757920265,
      0.850033965706825,
      0.850000178813934,
      0.850000178813934,
      0.850045713782311,
      0.850037801265717,
      0.850034350156784,
      0.850079268217087,
      0.850044631958008,
      0.850041279196739,
      0.850041261315346,
      0.850040107965469,
      0.850045427680016,
      0.850036925077438,
      0.850005176663399,
      0.850037506222725,
      0.850001922249794,
      0.850032311677933,
      0.850029897689819,
      0.85000059902668,
      0.850055646896362,
      0.850003477931023,
      0.85000002682209,
      0.850036925077438,
      0.850002977252007,
      0.850003218650818,
      0.850066697597504,
      0.85004625916481,
      0.850071454048157,
      0.850091087818146,
      0.850092580914497,
      0.850067242980003,
      0.850082165002823,
      0.850043344497681,
      0.850083667039871,
      0.850063675642014,
      0.850002539157867,
      0.850023719668388,
      0.850023719668388,
      0.850004389882088,
      0.85000051856041,
      0.850041815638542,
      0.850012767314911,
      0.850000187754631,
      0.850041180849075,
      0.850008761882782,
      0.850037103891373,
      0.850036665797234,
      0.850003862380981,
      0.850065705180168,
      0.850043979287147,
      0.850044828653336,
      0.850093528628349,
      0.850071373581886,
      0.850073581933975,
      0.850074180960655,
      0.850060126185417,
      0.850046697258949,
      0.850056406855583,
      0.850030192732811,
      0.850034967064857,
      0.850003933906555,
      0.850000706315041,
      0.850000107288361,
      0.850002172589302,
      0.850003004074097,
      0.850039213895798,
      0.850006115436554,
      0.850027778744698,
      0.850046688318253,
      0.850042048096657,
      0.850000259280205,
      0.850042504072189,
      0.850042504072189,
      0.850040805339813,
      0.850036227703095,
      0.850022655725479,
      0.850077337026596,
      0.850042521953583,
      0.850050193071365,
      0.850061574578285,
      0.850038999319077,
      0.850023674964905,
      0.850000786781311,
      0.850022915005684,
      0.850003835558891,
      0.850029933452606,
      0.850000357627869,
      0.850002020597458,
      0.850065141916275,
      0.850003066658974,
      0.850001350045204,
      0.85004448890686,
      0.850000205636025,
      0.850030648708344,
      0.850057721138,
      0.850042057037353,
      0.850045999884605,
      0.850039464235306,
      0.850043961405754,
      0.850062093138695,
      0.850052160024643,
      0.850051310658455,
      0.850036916136742,
      0.850113645195961,
      0.850044050812721,
      0.850027367472649,
      0.85000906586647,
      0.85000906586647,
      0.850029557943344,
      0.850003388524055,
      0.850002583861351,
      0.850000160932541,
      0.850017148256302,
      0.850000429153442,
      0.85004315674305,
      0.850035414099693,
      0.850032338500023,
      0.850064301490784,
      0.850042647123337,
      0.8500054448843,
      0.850043255090714,
      0.850053215026855,
      0.850043353438377,
      0.850054797530174,
      0.850041010975838,
      0.850043693184853,
      0.850040313601494,
      0.850040036439896,
      0.850036880373955,
      0.850002628564835,
      0.850027886033058,
      0.850000473856926,
      0.850003191828728,
      0.850004532933235,
      0.850000062584877,
      0.850005292892456,
      0.850045678019524,
      0.85004021525383,
      0.850031068921089,
      0.850033482909203,
      0.85005396604538,
      0.85004432797432,
      0.85004432797432,
      0.85004868209362,
      0.850049370527267,
      0.85007435977459,
      0.850033938884735,
      0.850034287571907,
      0.850042521953583,
      0.850034993886948,
      0.850034376978874,
      0.850015610456467,
      0.850015565752983,
      0.850002762675285,
      0.850044220685959,
      0.850027456879616,
      0.850000554323196,
      0.850002163648605,
      0.850004157423973,
      0.850000464916229,
      0.850000375509262,
      0.850001439452171,
      0.850002923607826,
      0.850067493319511,
      0.850053706765175,
      0.850061601400375,
      0.850084087252617,
      0.85007076561451,
      0.850102630257606,
      0.850088700652122,
      0.850072786211967,
      0.850018122792244,
      0.850062084197998,
      0.850002199411392,
      0.85003120303154,
      0.850004899501801,
      0.850001153349876,
      0.850001153349876,
      0.850040653347969,
      0.850000125169754,
      0.85000008046627,
      0.850007948279381,
      0.850004103779793,
      0.850017032027245,
      0.850036013126373,
      0.850002843141556,
      0.85006305873394,
      0.8500492811203,
      0.850046250224114,
      0.850078400969505,
      0.850072464346886,
      0.850066527724266,
      0.85007503926754,
      0.850055029988289,
      0.850032848119736,
      0.850057810544968,
      0.850017434358597,
      0.850006955862045,
      0.850001135468483,
      0.850026643276215,
      0.850004032254219,
      0.850006142258644,
      0.850002726912498,
      0.850000107288361,
      0.850002700090408,
      0.850002861022949,
      0.850004917383194,
      0.850007921457291,
      0.850022825598717,
      0.850049182772636,
      0.850068235397339,
      0.850078427791595,
      0.850078427791595,
      0.850073975324631,
      0.850049790740013,
      0.850041663646698,
      0.850062504410744,
      0.850041180849075,
      0.850051444768906,
      0.850071409344673,
      0.85001685321331,
      0.850009486079216,
      0.85000966489315,
      0.85003068447113,
      0.850032490491867,
      0.850003844499588,
      0.850047421455383,
      0.850003907084465,
      0.850034600496292,
      0.850050613284111,
      0.850033098459244,
      0.850001421570778,
      0.850065115094185,
      0.850075504183769,
      0.850055932998657,
      0.85003833770752,
      0.85006474852562,
      0.850102165341377,
      0.85007207095623,
      0.850064578652382,
      0.850054869055748,
      0.85006485581398,
      0.850000438094139,
      0.850029003620148,
      0.850001350045204,
      0.850000688433647,
      0.850050202012062,
      0.850050202012062,
      0.850001072883606,
      0.850000384449959,
      0.85001140832901,
      0.850004675984383,
      0.850001832842827,
      0.85002167224884,
      0.850002458691597,
      0.850101253390312,
      0.850050541758537,
      0.850044560432434,
      0.850078418850899,
      0.850073850154877,
      0.850063809752464,
      0.850090560317039,
      0.850056773424149,
      0.850044631958008,
      0.850075280666351,
      0.850015673041344,
      0.850001028180122,
      0.850004971027374,
      0.850000312924385,
      0.850001761317253,
      0.850044837594032,
      0.850002646446228,
      0.850000035762787,
      0.8500035405159,
      0.850034886598587,
      0.850000965595245,
      0.850006097555161,
      0.85004073381424,
      0.850047475099564,
      0.850044301152229,
      0.850080680847168,
      0.850066491961479,
      0.850066491961479,
      0.850074958801269,
      0.850056925415993,
      0.850107958912849,
      0.850050523877144,
      0.85006060898304,
      0.850056406855583,
      0.714877058734423,
      0.850003683567047,
      0.850002709031105,
      0.786760010019541,
      0.8500054448843,
      0.846409310104578,
      0.850001913309097,
      0.850004926323891,
      0.829165409872227,
      0.826443997576915,
      0.821419010399989,
      0.850004282593727,
      0.850007858872414,
      0.789144922918147,
      0.820167172928922,
      0.838074293612051,
      0.828888372134407,
      0.850012981891632,
      0.85000669658184,
      0.850018873810768,
      0.850000581145287,
      0.047352145201408,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "color_temperature_curve": [
      0.427540727010997,
      0.427540727010997,
      0.577540727010997,
      0.577540727010997,
      0.567913372164716,
      0.577540727010997,
      0.571812492046739,
      0.577540727010997,
      0.577540727010997,
      0.565087586079026,
      0.577540727010997,
      0.561522183487097,
      0.577540727010997,
      0.568468351713451,
      0.577540727010997,
      0.577540727010997,
      0.554628212100019,
      0.577540727010997,
      0.577540727010997,
      0.570258790393539,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.553695211479345,
      0.577540727010997,
      0.577540727010997,
      0.566379607213347,
      0.577540727010997,
      0.576906753777157,
      0.577540727010997,
      0.577540727010997,
      0.573863294333672,
      0.573382903336178,
      0.572496301775922,
      0.577540727010997,
      0.577540727010997,
      0.566800897050006,
      0.572274915399373,
      0.575435893464191,
      0.573814385567094,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.577540727010997,
      0.435896950397874,
      0.427540727010997,
      0.427540727010997,
      0.427540727010997,
      0.427540727010997,
      0.427540727010997,
      0.427540727010997
    ],
    "contrast_volatility": 0.0766187187056037,
    "motion_velocity_mapping": [
      0,
      0,
      0.74194378942281,
      0.74194378942281,
      0.694324081844358,
      0.74194378942281,
      0.713610267048902,
      0.74194378942281,
      0.74194378942281,
      0.680346918934258,
      0.74194378942281,
      0.66271139686843,
      0.74194378942281,
      0.697069172707294,
      0.74194378942281,
      0.74194378942281,
      0.628611801834424,
      0.74194378942281,
      0.74194378942281,
      0.705925205100851,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.623996908394181,
      0.74194378942281,
      0.74194378942281,
      0.686737632643672,
      0.74194378942281,
      0.738807972732757,
      0.74194378942281,
      0.74194378942281,
      0.723754133849731,
      0.721377979735829,
      0.716992589593666,
      0.74194378942281,
      0.74194378942281,
      0.688821455162713,
      0.715897547946042,
      0.73153266823733,
      0.723512216812324,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.74194378942281,
      0.0413323202994855,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "particle_density_mapping": [
      0.679640326722313,
      0.49969745926631,
      0.432380703095719,
      0.396133219003863,
      0.429791597089158,
      0.392249559994021,
      0.389660453987459,
      0.419435173062913,
      0.36894760593497,
      0.441442574118683,
      0.436264362105561,
      0.529472178341764,
      0.525588519331922,
      0.459566316164612,
      0.284801660721731,
      0.315870932800465,
      0.463449975174453,
      0.375420370951373,
      0.328816462833271,
      0.425907938079316,
      0.328816462833271,
      0.280918001711889,
      0.384482241974337,
      0.6071453585386,
      0.442737127121964,
      0.537239496361447,
      0.359885734912006,
      0.45568265715477,
      0.539828602368009,
      0.279623448708609,
      0.416846067056352,
      0.445326233128525,
      0.339172886859516,
      0.2602051536594,
      0.384482241974337,
      0.332700121843113,
      0.563130556427059,
      0.524293966328642,
      0.41296240804651,
      0.453093551148209,
      0.649865607646859,
      0.433675256099,
      0.486751929233504,
      0.442737127121964,
      0.321049144813588,
      0.331405568839833,
      0.384482241974337,
      0.425907938079316,
      0.515232095305677,
      0.372831264944812,
      0.494519247253188,
      0.52170486032208,
      0.258910600656119,
      0.433675256099,
      0.47769005821054,
      0.339172886859516,
      0.247259623626594,
      0.416846067056352,
      0.308103614780782,
      0.56442510943034,
      0.49840290626303,
      0.372831264944812,
      0.52170486032208,
      0.647276501640298,
      0.423318832072755,
      0.504875671279433,
      0.380598582964495,
      0.327521909829991,
      0.344351098872639,
      0.289979872734854,
      0.280918001711889,
      0.481573717220382,
      0.371536711941531,
      0.318460038807027,
      0.478984611213821,
      0.331405568839833,
      0.393544112997301,
      0.365063946925128,
      0.317165485803746,
      0.262794259665961,
      0.462155422171173,
      0.424613385076036,
      0.463449975174454,
      0.516526648308958,
      0.370242158938251,
      0.671873008702629,
      0.583843404479549,
      0.415551514053071,
      0.638214630617334,
      0.300336296761098,
      0.349529310885761,
      0.467333634184295,
      0.289979872734854,
      0.309398167784063,
      0.500992012269591,
      0.32493280382343,
      0.313281826793904,
      0.469922740190857,
      0.34823475788248,
      0.39095500699074,
      0.34823475788248,
      0.314576379797185,
      0.301630849764379,
      0.458271763161331,
      0.388365900984179,
      0.49840290626303,
      0.453093551148209,
      0.428497044085877,
      0.669283902696068,
      0.561836003423779,
      0.570897874446743,
      0.589021616492671,
      0.529472178341764,
      0.489341035240066,
      0.488046482236785,
      0.230430434583946,
      0.484162823226943,
      0.583843404479549,
      0.419435173062913,
      0.442737127121964,
      0.429791597089158,
      0.414256961049791,
      0.358591181908725,
      0.519115754315519,
      0.502286565272871,
      0.524293966328641,
      0.596788934512355,
      0.500992012269591,
      0.658927478669823,
      0.579959745469707,
      0.45568265715477,
      0.545006814381131,
      0.667989349692788,
      0.460860869167892,
      0.591610722499233,
      0.674462114709191,
      0.640803736623895,
      0.599378040518916,
      0.387071347980898,
      0.478984611213821,
      0.563130556427059,
      0.447915339135086,
      0.447915339135086,
      0.397427772007143,
      0.375420370951373,
      0.414256961049791,
      0.504875671279433,
      0.49969745926631,
      0.533355837351606,
      0.581254298472988,
      0.5204103073188,
      0.665400243686227,
      0.58513795748283,
      0.425907938079316,
      0.579959745469707,
      0.675756667712471,
      0.460860869167892,
      0.60843991154188,
      0.674462114709191,
      0.65116016065014,
      0.596788934512355,
      0.396133219003863,
      0.366358499928409,
      0.436264362105561,
      0.306809061777501,
      0.425907938079316,
      0.32493280382343,
      0.323638250820149,
      0.459566316164612,
      0.267972471679084,
      0.306809061777501,
      0.344351098872639,
      0.389660453987459,
      0.371536711941531,
      0.466039081181015,
      0.378009476957934,
      0.554068685404095,
      0.535944943358167,
      0.45568265715477,
      0.481573717220382,
      0.481573717220382,
      0.357296628905445,
      0.340467439862797,
      0.380598582964495,
      0.339172886859516,
      0.378009476957934,
      0.400016878013704,
      0.295158084747976,
      0.444031680125245,
      0.308103614780782,
      0.372831264944812,
      0.442737127121964,
      0.235608646597069,
      0.30421995577094,
      0.328816462833271,
      0.397427772007143,
      0.330111015836552,
      0.508759330289274,
      0.367653052931689,
      0.545006814381131,
      0.545006814381131,
      0.415551514053071,
      0.480279164217101,
      0.458271763161331,
      0.3469402048792,
      0.380598582964495,
      0.365063946925128,
      0.271856130688925,
      0.419435173062913,
      0.401311431016985,
      0.330111015836552,
      0.644687395633737,
      0.336583780852955,
      0.331405568839833,
      0.459566316164612,
      0.278328895705328,
      0.306809061777501,
      0.414256961049791,
      0.396133219003862,
      0.462155422171173,
      0.449209892138367,
      0.280918001711889,
      0.486751929233504,
      0.647276501640298,
      0.440148021115403,
      0.491930141246627,
      0.458271763161331,
      0.274445236695486,
      0.387071347980898,
      0.437558915108842,
      0.261499706662681,
      0.433675256099,
      0.394838666000582,
      0.367653052931689,
      0.621385441574686,
      0.32493280382343,
      0.333994674846394,
      0.444031680125245,
      0.299041743757818,
      0.317165485803746,
      0.418140620059633,
      0.401311431016985,
      0.424613385076036,
      0.446620786131806,
      0.297747190754537,
      0.541123155371289,
      0.656338372663262,
      0.532061284348325,
      0.515232095305677,
      0.473806399200698,
      0.379304029961215,
      0.538534049364728,
      0.371536711941531,
      0.387071347980898,
      0.530766731345045,
      0.513937542302397,
      0.321049144813588,
      0.512642989299116,
      0.400016878013704,
      0.396133219003863,
      0.475100952203979,
      0.568308768440182,
      0.400016878013704,
      0.603261699528758,
      0.444031680125245,
      0.653749266656701,
      0.579959745469707,
      0.557952344413937,
      0.497108353259749,
      0.621385441574686,
      0.537239496361448,
      0.554068685404095,
      0.572192427450024,
      0.525588519331922,
      0.65116016065014,
      0.427202491082597,
      0.418140620059633,
      0.547595920387692,
      0.473806399200698,
      0.367653052931689,
      0.473806399200698,
      0.401311431016985,
      0.396133219003863,
      0.493224694249907,
      0.574781533456585,
      0.397427772007143,
      0.618796335568125,
      0.476395505207259,
      0.658927478669824,
      0.591610722499233,
      0.556657791410657,
      0.464744528177734,
      0.669283902696068,
      0.574781533456585,
      0.475100952203979,
      0.675756667712471,
      0.664105690682946,
      0.635625524610773,
      0.486751929233504,
      0.179942867456003,
      0.181237420459284,
      0.270561577685645,
      0.406489643030107,
      0.335289227849675,
      0.284801660721731,
      0.311987273790624,
      0.306809061777501,
      0.41166785504323,
      0.336583780852955,
      0.336583780852955,
      0.30292540276766,
      0.266677918675803,
      0.244670517620033,
      0.280918001711889,
      0.274445236695486,
      0.409078749036669,
      0.381893135967776,
      0.356002075902164,
      0.309398167784062,
      0.362474840918567,
      0.356002075902164,
      0.482868270223662,
      0.508759330289274,
      0.570897874446743,
      0.367653052931689,
      0.441442574118683,
      0.405195090026827,
      0.279623448708609,
      0.491930141246627,
      0.381893135967776,
      0.319754591810307,
      0.357296628905445,
      0.387071347980898,
      0.327521909829991,
      0.54241770837457,
      0.378009476957934,
      0.486751929233504,
      0.652454713653421,
      0.517821201312239,
      0.486751929233504,
      0.581254298472988,
      0.356002075902164,
      0.361180287915286,
      0.423318832072755,
      0.236903199600349,
      0.481573717220382,
      0.573486980453304,
      0.458271763161331,
      0.459566316164612,
      0.407784196033388,
      0.394838666000582,
      0.398722325010424,
      0.5204103073188,
      0.493224694249907,
      0.530766731345044,
      0.587727063489391,
      0.504875671279433,
      0.661516584676385,
      0.58643251048611,
      0.432380703095719,
      0.576076086459865,
      0.600672593522197,
      0.539828602368009,
      0.605850805535319,
      0.583843404479549,
      0.504875671279433,
      0.594199828505794,
      0.379304029961215,
      0.441442574118683,
      0.570897874446743,
      0.433675256099,
      0.440148021115403,
      0.416846067056352,
      0.374125817948092,
      0.45568265715477,
      0.506170224282713,
      0.495813800256468,
      0.539828602368009,
      0.555363238407376,
      0.541123155371289,
      0.655043819659982,
      0.547595920387692,
      0.488046482236785,
      0.589021616492671,
      0.677051220715752,
      0.442737127121964,
      0.627858206591089,
      0.667989349692788,
      0.657632925666543,
      0.565719662433621,
      0.494519247253188,
      0.491930141246627,
      0.476395505207259,
      0.336583780852955,
      0.415551514053071,
      0.43496980910228,
      0.32622735682671,
      0.493224694249907,
      0.384482241974337,
      0.462155422171173,
      0.490635588243346,
      0.481573717220382,
      0.420729726066194,
      0.402605984020266,
      0.374125817948092,
      0.429791597089158,
      0.405195090026827,
      0.352118416892322,
      0.299041743757818,
      0.358591181908725,
      0.223957669567543,
      0.318460038807027,
      0.356002075902164,
      0.433675256099,
      0.557952344413937,
      0.47769005821054,
      0.620090888571406,
      0.679640326722313,
      0.679640326722313,
      0.679640326722313
    ],
    "geometric_sharpness": 0.49,
    "organic_mechanical_feel": 0.52,
    "claude_model": "claude-sonnet-4-6",
    "derivation_prompt_version": "tier2_v2.0",
    "derived_at": "2026-03-16T19:10:52.027425+00:00",
    "warmth_metallic_index": null,
    "analog_digital_feel": null,
    "danceability_curve": [
      0.116405826015265,
      0.769780990278654,
      0.801038324279822,
      0.688751507341618,
      0.673203433389798,
      0.748536576765423,
      0.669461519767972,
      0.769027736641461,
      0.674772265151507,
      0.675622164060069,
      0.738719711588184,
      0.685043604492515,
      0.771539856856472,
      0.683484973236119,
      0.772842481675887,
      0.823828918083702,
      0.689055678437096,
      0.86166744642806,
      0.710942167166638,
      0.700144505674246,
      0.843250464601017,
      0.782961559110834,
      0.932303124018466,
      0.756214946927957,
      0.714675103332568,
      0.839148173577139,
      0.912608565543146,
      0.840799655736579,
      0.740158975603564,
      0.862694707249063,
      0.898940462380508,
      0.907807752370381,
      0.950200543664876,
      0.807052461127266,
      0.916438134701929,
      0.926863059999516,
      0.77071518892049,
      0.853489785941744,
      0.87376583293313,
      0.840455938752891,
      0.892386321113054,
      0.823360074695281,
      0.916885403067764,
      0.751014089417948,
      0.867699957336798,
      1,
      0.889965932878149,
      0.800172535845417,
      0.757484708992468,
      0.931561874603258,
      0.823431830275596,
      0.769967829689733,
      0.891662754012777,
      0.812597557494788,
      0.909704643348649,
      0.953240670180227,
      0.88518669568495,
      0.893289048106155,
      0.888095008074032,
      0.749769327953137,
      0.852056595617192,
      0.899982903020373,
      0.966633972452674,
      0.740708296022287,
      0.849681011428272,
      0.886672206775796,
      0.828940594686052,
      0.940608660212228,
      0.890585597370056,
      0.973873931692149,
      0.863686499960823,
      0.865360484806619,
      0.885825522765131,
      0.823527539622,
      0.80988422887052,
      0.843752551117951,
      0.909517048648742,
      0.916721695920617,
      0.978191380446261,
      0.894399362652617,
      0.943239446373649,
      0.832732174977755,
      0.85353659350031,
      0.80170198390444,
      0.91479287035331,
      0.931373898683038,
      0.81224004984453,
      0.822575513293619,
      0.799272789196357,
      0.816603517026761,
      0.981916211363453,
      0.909908247071563,
      0.876109483119492,
      0.811847375861362,
      0.845852605673645,
      0.87860999525295,
      0.879149031777062,
      0.777352484125772,
      0.840064272894876,
      0.906400530221382,
      0.951569510292498,
      1,
      0.943380923781736,
      0.88206000238386,
      0.790787315601849,
      0.930321890644134,
      0.841241030563454,
      0.890037832705551,
      0.838836251854645,
      0.821509023171743,
      0.858189714121099,
      0.782848677907132,
      0.726324429024322,
      0.839896102152495,
      0.82324284342098,
      0.865802440086643,
      0.797858378858031,
      0.774610833108814,
      0.848568281537018,
      0.779668449122034,
      0.822941980696088,
      0.84255618548268,
      0.809552359713594,
      0.942360757089488,
      0.742582141025997,
      0.89353353893373,
      0.711682165534969,
      0.739453358861848,
      0.801366027627994,
      0.7743856716785,
      0.802800146141275,
      0.759592474903079,
      0.733184773276951,
      0.81829875312797,
      0.918929949420825,
      0.776385931719346,
      0.686391711088699,
      0.759609840964895,
      0.789999511301074,
      0.788460491834777,
      0.91119928423606,
      0.722747705617133,
      0.736332866129569,
      0.810507616487999,
      0.832218285531155,
      1,
      0.746891262064581,
      0.778466489743773,
      0.846528607332476,
      0.737056678726974,
      0.772813008950358,
      0.736678530722127,
      0.789985611697114,
      0.817179376728292,
      0.765180703086891,
      0.782619777536996,
      0.802879460065169,
      0.940695585780623,
      0.726605513413977,
      0.745009971581927,
      0.727943735180113,
      0.771654919693745,
      0.748978629222192,
      0.854923574137098,
      0.808107481989609,
      0.889760832256958,
      0.739128762670336,
      0.911601149706657,
      0.852987210495624,
      0.856379626951867,
      0.874363260583747,
      0.854221189699011,
      0.871800890497211,
      0.862323721297349,
      0.809879330896711,
      0.905885439928061,
      0.711747884532382,
      0.787291252920883,
      0.827820577745984,
      0.833532569569852,
      0.883117521272344,
      0.864494949382223,
      0.902935335490096,
      0.923296760339265,
      0.797223352354697,
      0.765413244418444,
      0.833973481255933,
      0.797273348065292,
      0.915866767609033,
      0.761780515600756,
      0.870295288375405,
      0.809808743759451,
      0.862458124851559,
      0.892613534457756,
      0.928591331903246,
      0.845429721122549,
      0.811537134672416,
      0.813415397298761,
      0.935186043216633,
      0.736982298230457,
      0.842605922757738,
      0.729610740481498,
      0.82685727487169,
      0.89845871749269,
      0.900388552478139,
      0.840783197298768,
      0.969124681099783,
      0.753705644344344,
      0.920142236024798,
      0.833285779948671,
      0.784885866127318,
      0.845243837752269,
      0.818933582265418,
      0.852726668332211,
      0.867443690620298,
      0.897348548671812,
      0.888622826394395,
      0.907647054488347,
      0.858349187119792,
      0.825482670151296,
      0.858472146643294,
      0.879612310405261,
      0.877180488859955,
      0.857691030972705,
      0.756701252872585,
      0.849607334621938,
      0.934365390067504,
      0.896580440897928,
      1,
      0.821347876694532,
      0.774315908658109,
      0.903004690003138,
      0.860493511595264,
      0.845941561711109,
      0.795938439109549,
      0.812975460546842,
      0.845862451803415,
      0.879966000432691,
      0.991285991136858,
      0.839802801742263,
      0.925569400328442,
      0.79826246095425,
      0.833237454910902,
      0.889908173960518,
      0.843653827183768,
      0.829483498611265,
      0.873385320841185,
      0.816931727045996,
      0.883645899134146,
      0.768164214001659,
      0.774541791210521,
      0.943132651761653,
      0.769962604020515,
      0.885187869963307,
      0.775396490314855,
      0.809503344225399,
      0.811748798260572,
      0.757917146645561,
      0.852397147872982,
      0.811682550544601,
      0.938061592481419,
      0.803386200644451,
      0.843748905424803,
      0.753552430144898,
      0.746443794030131,
      0.731072562780779,
      0.882941470714444,
      0.712550613587041,
      0.823146976387336,
      0.706973382778445,
      0.832361062845173,
      1,
      0.759904450560667,
      0.767560658799678,
      0.798327507809063,
      0.739993858200381,
      0.815557070031551,
      0.829176715931682,
      0.805917172607851,
      0.794618179362123,
      0.756897064096977,
      0.888768259391151,
      0.840787756778943,
      0.913170018732075,
      0.734631248579729,
      0.838545393992992,
      0.770348528122516,
      0.764359707971467,
      0.749273245820982,
      0.827777587748609,
      0.729155065449654,
      0.850616822310918,
      0.721265950967851,
      0.779294041841609,
      0.979967507154949,
      0.719420244950352,
      0.728191724373867,
      0.780774792754797,
      0.712579605510447,
      0.658628219700293,
      0.71488087308201,
      0.918192938065024,
      0.723330994898859,
      0.802598272080177,
      0.778931912342103,
      0.922199285142187,
      0.752620638683766,
      0.68938885278368,
      0.799098507142911,
      0.721883463136902,
      0.822559843729555,
      0.89894989878936,
      0.817902027684795,
      0.789782889787982,
      0.730172589034326,
      0.868740179383787,
      0.824767836836076,
      0.80972175946144,
      0.754269800762376,
      0.832147759116358,
      0.800502838413073,
      0.817275379210549,
      0.729109847708743,
      0.762744227714311,
      0.838109983232624,
      0.785225046151073,
      0.849467259545016,
      0.8026206027453,
      0.717223941411073,
      0.854933648089421,
      0.880639968498661,
      0.971583189853159,
      0.831689260153265,
      0.734244679974956,
      0.866523419482484,
      0.848435794588332,
      0.856226756825447,
      0.77745122002356,
      0.786992249626786,
      0.793238154619526,
      0.846265712289235,
      0.899392285737177,
      0.818534267488523,
      0.86246241564473,
      0.978239971272119,
      0.801156295449146,
      0.902470322582777,
      0.731580956093108,
      0.728846872122271,
      0.804873693169741,
      0.831422475017973,
      1,
      0.755112458961198,
      0.780258429937486,
      0.845970238505968,
      0.742112422149036,
      0.773308392574815,
      0.748583997676603,
      0.78631642238214,
      0.801174588479871,
      0.758341565184048,
      0.830777677263952,
      0.825503795271688,
      0.917229947383213,
      0.770413586137094,
      0.835705703018049,
      0.721889828570068,
      0.768991145203195,
      0.755896640403595,
      0.910578010003159,
      0.72271501560481,
      0.818168215339213,
      0.710517052616394,
      0.856311945886255,
      1,
      0.762681948340149,
      0.778638475452909,
      0.803209516255128,
      0.731486069227354,
      0.794508807557549,
      0.775079980857563,
      0.788143604165694,
      0.790650321575961,
      0.755489302304299,
      0.818290993594604,
      0.835594831698125,
      0.89091249683303,
      0.68591536696877,
      0.741413160233394,
      0.740788906912941,
      0.665064059342338,
      0.794176041039459,
      0.813736536573785,
      0.79735857924023,
      0.943006012833527,
      0.695095299129675,
      0.781371423988563,
      0.87893914815379,
      0.765346341792607,
      0.841305445079786,
      0.884653439749425,
      0.722692595204894,
      0.815279032645838,
      0.793223474250974,
      0.81872160930751,
      0.655433344768704,
      0.878694065869364,
      0.780128114107167,
      0.756760579720146,
      0.866785946018957,
      0.79267811061502,
      0.780824053423083,
      0.850597964718826,
      0.411937236257578,
      0.269063080729854,
      0.178402411481584,
      0.1341270760796,
      0.121434804417828,
      0.11640582605783,
      0.116405825610902
    ],
    "tension_curve_composite": [
      0.000070469877151517,
      0.170789797933508,
      0.435391698377397,
      0.424504305144597,
      0.419039675451324,
      0.423682546916909,
      0.425185759784596,
      0.424190875650775,
      0.423328794578807,
      0.413488356079157,
      0.43252447805686,
      0.413217247021775,
      0.427483611252823,
      0.420657173405554,
      0.430884158295445,
      0.420575039738732,
      0.408792152152961,
      0.424127505767295,
      0.431284708810823,
      0.414040047883701,
      0.432315023256226,
      0.42984504683602,
      0.454036137530248,
      0.429503945267227,
      0.439589334795514,
      0.454452979665494,
      0.445633781528487,
      0.447424313405243,
      0.433795876041053,
      0.434588261235201,
      0.451398453224147,
      0.449995517788213,
      0.432868048884537,
      0.439878676192872,
      0.448143914574681,
      0.433901756645061,
      0.450129774944765,
      0.445390031209394,
      0.433746164865567,
      0.435207092690356,
      0.453164636766905,
      0.443099977786766,
      0.451732237872841,
      0.448113693661267,
      0.437676613433365,
      0.446189441933093,
      0.433690819513927,
      0.455395431029319,
      0.452549067698922,
      0.445626987860476,
      0.449169020935597,
      0.452888835877219,
      0.444186078827523,
      0.442654773966938,
      0.45088833408421,
      0.443069764641846,
      0.438786880308616,
      0.439731233011115,
      0.431688695232183,
      0.450185449359463,
      0.444927018704433,
      0.452162645863332,
      0.450294607396769,
      0.450089455536265,
      0.432836892494157,
      0.444260657529939,
      0.444786589852372,
      0.446962205529327,
      0.436462518894409,
      0.448753148336248,
      0.441692001643582,
      0.45453644979689,
      0.467049918209494,
      0.440899673878326,
      0.459567803219848,
      0.450534063171641,
      0.4685424496097,
      0.443628596428287,
      0.450416223139102,
      0.430089818358232,
      0.451142829096436,
      0.447520913088948,
      0.448555255910267,
      0.459893018107248,
      0.44201965634306,
      0.452066892847763,
      0.445633453926896,
      0.453020294512404,
      0.472043561501671,
      0.439821735329335,
      0.432003735700725,
      0.440336585308007,
      0.446095844302743,
      0.442374286034375,
      0.466506027018826,
      0.444503946980545,
      0.441390152962499,
      0.449215533356601,
      0.469700735935375,
      0.448219728047676,
      0.453336488787354,
      0.430365438473626,
      0.443027679231122,
      0.451901163728426,
      0.444125074564416,
      0.452126693393836,
      0.455624838264655,
      0.425440078344223,
      0.462017404041107,
      0.443602379439738,
      0.457291415984185,
      0.469464133710872,
      0.449809726085234,
      0.428229169169256,
      0.450522013402971,
      0.439773728287693,
      0.447306955866003,
      0.461307622318475,
      0.444489315538747,
      0.446307506373554,
      0.427802414539878,
      0.425612902033248,
      0.437221179421128,
      0.466471735519595,
      0.445541347953728,
      0.457506074497946,
      0.460065056708384,
      0.447419279428858,
      0.452413121979721,
      0.475463058939889,
      0.433988446979117,
      0.451629534535889,
      0.443185638571039,
      0.449487363641449,
      0.462565821916209,
      0.456056541452172,
      0.460868644967227,
      0.462519185780596,
      0.445951345385592,
      0.437775588410848,
      0.459982513522813,
      0.455106003943711,
      0.437756788838524,
      0.426606086874762,
      0.434859193591116,
      0.442447862813131,
      0.445594725794964,
      0.465078415975188,
      0.457600846328968,
      0.45925765848439,
      0.447225682084082,
      0.464276804852603,
      0.453235629771984,
      0.442438307947953,
      0.432471485235157,
      0.448588956695414,
      0.447696044833708,
      0.463236751239632,
      0.465777125730188,
      0.459818399112983,
      0.451920539012564,
      0.445337560228927,
      0.450702988827247,
      0.454513042232709,
      0.440682162128668,
      0.44028687379346,
      0.438998969088038,
      0.483091608221834,
      0.458339775659151,
      0.438488041207929,
      0.444845905494058,
      0.438355250286109,
      0.447008053221616,
      0.432075284005183,
      0.446539441488674,
      0.457148593414644,
      0.448343582968951,
      0.454506562177488,
      0.453747941811826,
      0.440710764318222,
      0.43115158800894,
      0.440033447620903,
      0.482815971654503,
      0.448096450225364,
      0.432062051466599,
      0.463804405128109,
      0.44116177992992,
      0.4414652189076,
      0.431459359476962,
      0.452574648588039,
      0.482531044580061,
      0.454940532494032,
      0.44765658019066,
      0.444497192649317,
      0.428122152882029,
      0.457018284019323,
      0.432006049311827,
      0.449465665017716,
      0.45516189988251,
      0.449065744824414,
      0.466702276023449,
      0.438855910176874,
      0.430701330006224,
      0.440163033326116,
      0.439997798596928,
      0.477189335462835,
      0.447197955142273,
      0.440297138223088,
      0.447617177322557,
      0.444636569321551,
      0.439137676477297,
      0.450116119228889,
      0.462009690902299,
      0.424508742560453,
      0.449402207707548,
      0.431974946315221,
      0.44056323221092,
      0.449990537462123,
      0.440351051289194,
      0.446045167932986,
      0.452136606303679,
      0.439942714459323,
      0.464309942468155,
      0.469917670239805,
      0.434970187442796,
      0.451282087600941,
      0.449762944652439,
      0.408080554907719,
      0.45910756696334,
      0.461799178594672,
      0.438170813873557,
      0.448023206003942,
      0.450905804876567,
      0.424206689865069,
      0.469065950156463,
      0.441071020976736,
      0.433887390896926,
      0.449341355014815,
      0.443321718094879,
      0.451578174629262,
      0.4503874354098,
      0.439102414689383,
      0.445612717578362,
      0.451413350590276,
      0.440185346852033,
      0.470019343474507,
      0.4661426681045,
      0.439763590054582,
      0.443876669851521,
      0.451608756558654,
      0.443243427990742,
      0.454807104698728,
      0.454722208524079,
      0.444153482465701,
      0.435864408391721,
      0.421089738466968,
      0.430452392046421,
      0.440737282230656,
      0.44076679390787,
      0.453099131534242,
      0.465634289520512,
      0.467590397426023,
      0.448631608322178,
      0.473198677655566,
      0.437069382696154,
      0.453329988908568,
      0.442471240156639,
      0.438388358530876,
      0.449501166865547,
      0.455653940692708,
      0.451827642481673,
      0.45006626503537,
      0.467139386152818,
      0.467684915606815,
      0.471809952940742,
      0.451574506848237,
      0.433762408346213,
      0.437569274478481,
      0.428496492658992,
      0.441686559933539,
      0.429712068646897,
      0.45201761358109,
      0.452199683817138,
      0.46638652803863,
      0.46665948688364,
      0.448519703584161,
      0.462711348706338,
      0.448241235575375,
      0.436083202143382,
      0.440572473856687,
      0.44770355419021,
      0.428661753795561,
      0.448367959243225,
      0.449158232385487,
      0.450994694408436,
      0.446123804711132,
      0.459161665136056,
      0.452119851841374,
      0.441728007602984,
      0.404510077807403,
      0.414561496913458,
      0.426844744428495,
      0.440151373817277,
      0.431065388338325,
      0.427263597565021,
      0.418847898678648,
      0.448081006747347,
      0.417054237423939,
      0.430313649922157,
      0.427374984753327,
      0.430880102419845,
      0.428907576929127,
      0.432663278598306,
      0.429673348987438,
      0.416776373722017,
      0.448508705178331,
      0.432780864766018,
      0.42180508881294,
      0.448066624021158,
      0.461076102565351,
      0.447027128377793,
      0.446036924405898,
      0.439263303160012,
      0.443955218252589,
      0.431658742096911,
      0.434779436468188,
      0.45209381613497,
      0.443228400653471,
      0.439969984790451,
      0.447071686774327,
      0.432485314363042,
      0.436459928217953,
      0.447331758084907,
      0.431560423490888,
      0.461645470406564,
      0.443973881275928,
      0.434999380997245,
      0.459549801667003,
      0.431899974311925,
      0.461146036176373,
      0.447830759555211,
      0.453901211024466,
      0.44089824926461,
      0.438226004869867,
      0.410614810362437,
      0.427604355499851,
      0.458141954755339,
      0.424908794301499,
      0.44818133170794,
      0.446511901044183,
      0.455976576978287,
      0.451568253659956,
      0.465891298445201,
      0.454528545886082,
      0.458074538804055,
      0.438635097440721,
      0.427316163800288,
      0.463974648306994,
      0.443424615207983,
      0.442567698910922,
      0.453407413629148,
      0.450743146806425,
      0.459192099795744,
      0.473661233760596,
      0.476665304397939,
      0.443132718468108,
      0.451508779543044,
      0.424547536227434,
      0.437026052314841,
      0.459233516276678,
      0.43504107343373,
      0.44754302007576,
      0.437415957554847,
      0.455848327834785,
      0.445224881400361,
      0.461834770713142,
      0.454400704013311,
      0.437477746892805,
      0.425733300769228,
      0.438083241365572,
      0.454732926497841,
      0.450555047367626,
      0.44445378251498,
      0.452561021827803,
      0.473133653546426,
      0.450710484809389,
      0.475166423328015,
      0.472779762688945,
      0.459614849814173,
      0.480870766803828,
      0.46777520845262,
      0.472504472170219,
      0.432834920422427,
      0.479843604251411,
      0.481464992452119,
      0.449713847187324,
      0.471556776742457,
      0.47562113250144,
      0.454269884843939,
      0.475222980719069,
      0.466542871745433,
      0.467344350727916,
      0.4556671316071,
      0.437940980888917,
      0.431819073892522,
      0.415806473090829,
      0.426398773236904,
      0.42653877796777,
      0.425803630214241,
      0.433285462837135,
      0.427473814987819,
      0.427613425792802,
      0.430253195522135,
      0.206059011521841,
      0.195047057697749,
      0.173716937109145,
      0.155413818719943,
      0.154929558842877,
      0.150013771653175,
      0.150241010050766
    ],
    "textural_complexity_curve": [
      0.523819364621056,
      0.532478756920399,
      0.545806047844178,
      0.513346596955186,
      0.546519823135388,
      0.513071441899569,
      0.524743974278681,
      0.530696280574679,
      0.498503418596812,
      0.550097817417426,
      0.55451577402407,
      0.60368348771429,
      0.598736098512177,
      0.564317745341456,
      0.461661318929636,
      0.466723494681058,
      0.580790523988284,
      0.509100737684548,
      0.491135344961318,
      0.536342085796794,
      0.484383672371939,
      0.460203739232607,
      0.549557457060287,
      0.660712551125461,
      0.558665533176548,
      0.626569310363674,
      0.519209051292333,
      0.56921576514724,
      0.611907408930256,
      0.468858974140376,
      0.553089993443173,
      0.57472064907784,
      0.495173438691554,
      0.462900353771451,
      0.544658908626543,
      0.496426049965268,
      0.62742552004534,
      0.619986244071227,
      0.53555219211628,
      0.555401255058668,
      0.698227928158891,
      0.564835848498143,
      0.594152246656728,
      0.568637277645233,
      0.492439865260944,
      0.512676493523166,
      0.523525266561894,
      0.56125153211182,
      0.614860479419606,
      0.523861589255745,
      0.591553753150806,
      0.621805139139434,
      0.469471158373193,
      0.553499797251384,
      0.591551660233643,
      0.506035427380689,
      0.454956378638987,
      0.554352916868426,
      0.479140932613051,
      0.629798815904898,
      0.603681426090661,
      0.533326732427477,
      0.612084522007542,
      0.69190864914236,
      0.544542178923907,
      0.599076133484063,
      0.528634760122113,
      0.510248799493737,
      0.511819810983336,
      0.478712225876925,
      0.469764582328273,
      0.601779044453721,
      0.551931230283734,
      0.492843926948038,
      0.607188687632293,
      0.51167636008866,
      0.569204200682021,
      0.526447431188739,
      0.505366654508911,
      0.453360263717461,
      0.590899444557963,
      0.558490860733969,
      0.586721206169071,
      0.624934424547935,
      0.521309459073855,
      0.702031048431996,
      0.647757405191794,
      0.560746656934942,
      0.705251174610975,
      0.480120373082376,
      0.50392916759383,
      0.581539209118546,
      0.484097259403498,
      0.48149078807489,
      0.626488479758431,
      0.502660916574457,
      0.491285295899281,
      0.593507684308398,
      0.539762806158513,
      0.543644201842278,
      0.525288826295156,
      0.487523181298025,
      0.490050751141605,
      0.588979578626422,
      0.534913800589499,
      0.609574936481156,
      0.583905685465062,
      0.534915171218669,
      0.710686859949124,
      0.633761953372215,
      0.658035964781142,
      0.677503628060123,
      0.611347093730127,
      0.573279008303855,
      0.602487082431779,
      0.444741265252761,
      0.591956718467843,
      0.671377243489976,
      0.567285873469017,
      0.576092315654563,
      0.551176616031914,
      0.537214301789029,
      0.50539025585483,
      0.626447240117234,
      0.60999013252085,
      0.628845280032262,
      0.671478155436478,
      0.602479066318689,
      0.705008857641471,
      0.690430262066744,
      0.57121586888476,
      0.646269105736785,
      0.696246331168486,
      0.582544133303273,
      0.658240650176096,
      0.724325402022536,
      0.699280049695723,
      0.679685351753566,
      0.53746296169546,
      0.57993119501085,
      0.658248468532413,
      0.594332725850197,
      0.574231539349528,
      0.529490521480297,
      0.522629671933641,
      0.546341261665524,
      0.598133359935242,
      0.627109869843857,
      0.635292936633512,
      0.658511221691507,
      0.615781932587873,
      0.718434924472761,
      0.670347060288427,
      0.562320348702039,
      0.646741755871282,
      0.704061475431851,
      0.580624445475619,
      0.669353657447351,
      0.735250425778642,
      0.70184038076826,
      0.665391398234797,
      0.543721803004891,
      0.524795045163552,
      0.576748927377316,
      0.48086420218424,
      0.542423296942244,
      0.498070381665157,
      0.527817719313392,
      0.584328404502148,
      0.460415544413544,
      0.491866246300584,
      0.498026827878505,
      0.53577805316052,
      0.503728966003524,
      0.576110175314251,
      0.549266744122495,
      0.612681377660451,
      0.625815788482786,
      0.591346431736551,
      0.587850528936087,
      0.585661424020983,
      0.513214417529553,
      0.533100651834615,
      0.537566800014442,
      0.498824751051578,
      0.546730074504673,
      0.540353398326359,
      0.474717674756793,
      0.545732500884469,
      0.502441945192948,
      0.553084781427926,
      0.57134048237621,
      0.451479414931668,
      0.48970542746309,
      0.481818416984014,
      0.555005837533927,
      0.476616833997844,
      0.60553951249462,
      0.53939239622241,
      0.609578190229083,
      0.645396589878216,
      0.554431142401266,
      0.576863835850072,
      0.578907674130494,
      0.510955950985303,
      0.552365668081703,
      0.525899155487334,
      0.465799499398204,
      0.555071300332063,
      0.543269330089011,
      0.49967391517063,
      0.683427305088844,
      0.521794730141902,
      0.477643020052512,
      0.580470574707118,
      0.462686774899634,
      0.490958467873666,
      0.559723070247444,
      0.531734329631208,
      0.573934169172615,
      0.588706939069779,
      0.467516058845805,
      0.598690254214385,
      0.711263771041326,
      0.563853873260797,
      0.598439854898579,
      0.583213491989975,
      0.442837546864866,
      0.551611497861682,
      0.575852529974041,
      0.457643263044503,
      0.564495081163124,
      0.54317602641757,
      0.504607014116758,
      0.690835981948358,
      0.495439461804536,
      0.485516583440612,
      0.573709463362037,
      0.488823199499883,
      0.503518012712062,
      0.558786608774953,
      0.536449619267001,
      0.556029421346985,
      0.583179055724571,
      0.479292700367413,
      0.632119578049446,
      0.711477612864622,
      0.614892921840515,
      0.605192346065434,
      0.592030547402132,
      0.531654801124655,
      0.631969311351644,
      0.528424001250325,
      0.538128236707318,
      0.610561157082381,
      0.597599776574874,
      0.493327218412929,
      0.616728428883249,
      0.541776666694827,
      0.548113335996717,
      0.597719933079069,
      0.668942210642366,
      0.548943538336759,
      0.693126976554242,
      0.559943904609366,
      0.696308019509006,
      0.655925898115318,
      0.636753126288104,
      0.616125034170671,
      0.684535429710691,
      0.627609511274487,
      0.643575967077906,
      0.653116703726979,
      0.64723595403185,
      0.717592687474632,
      0.567115122051136,
      0.543752051308617,
      0.623376449844934,
      0.58336848332732,
      0.530907201213011,
      0.578840271255798,
      0.555148962838597,
      0.544628626937975,
      0.611838119413944,
      0.670120547967072,
      0.545107767073785,
      0.691511891796165,
      0.589352205102576,
      0.682927625685292,
      0.66356032215694,
      0.639825351725083,
      0.576829470796179,
      0.704751701531892,
      0.650394183150075,
      0.586116865997308,
      0.702805621603033,
      0.71506763780576,
      0.6897702647353,
      0.588431962057323,
      0.359775166543785,
      0.368501946296195,
      0.448385140170252,
      0.544793332758337,
      0.490834992818483,
      0.463982242768898,
      0.47046534602354,
      0.490947046982282,
      0.533564569653862,
      0.484702362771026,
      0.489140979761492,
      0.473960097073934,
      0.455020896409684,
      0.451835054730042,
      0.456644617133766,
      0.441095132066899,
      0.55745691005788,
      0.530687422773891,
      0.502196743623577,
      0.494821688187649,
      0.523620896066764,
      0.517825613365794,
      0.588880178636085,
      0.593244648248687,
      0.637641741513328,
      0.509347536685539,
      0.559527811556638,
      0.55248682980886,
      0.472079999810539,
      0.588077693258677,
      0.536842975872619,
      0.488015393904811,
      0.514085300811752,
      0.532027764006224,
      0.485708303627833,
      0.636641848648495,
      0.532237575583197,
      0.581169708178262,
      0.705813580699364,
      0.590266267241823,
      0.602263404712104,
      0.648264688602501,
      0.530980786693912,
      0.517934803274461,
      0.550743669807334,
      0.411885249355309,
      0.571457183642244,
      0.661563759959111,
      0.569027449449966,
      0.589966212660393,
      0.555267271048888,
      0.553081860139019,
      0.547483920365569,
      0.626049908793486,
      0.612257389244046,
      0.634057400461062,
      0.640421723165232,
      0.587189050058646,
      0.716447406476909,
      0.6599113938173,
      0.56562948911243,
      0.666926653769715,
      0.668299151675655,
      0.637480877734855,
      0.677231487807534,
      0.688741223218173,
      0.605364969436161,
      0.664725734650009,
      0.514252741582936,
      0.556971647387318,
      0.665323047931277,
      0.566830510827045,
      0.581707961790055,
      0.55014677652921,
      0.539546604491993,
      0.575932088253082,
      0.615423147445969,
      0.612540023922769,
      0.620032481303152,
      0.607687672047187,
      0.621070024476966,
      0.704449162757026,
      0.647725782162482,
      0.598521648103657,
      0.667553772031832,
      0.732929586963416,
      0.570196321991086,
      0.697190880794633,
      0.735414281729027,
      0.70445793554315,
      0.678428768704906,
      0.604991131275564,
      0.593507051573908,
      0.590794712025215,
      0.509573979668224,
      0.561801117390834,
      0.552341859182683,
      0.495674316260878,
      0.601345911929148,
      0.510837597917325,
      0.574896929897066,
      0.601826513158684,
      0.583361566853926,
      0.558499292548301,
      0.521970541599306,
      0.496675199856609,
      0.53734085854802,
      0.535619032217267,
      0.49245598222488,
      0.455853090949813,
      0.502271966055443,
      0.41161199238885,
      0.473386743134243,
      0.489977110816418,
      0.544947625134611,
      0.622301818390214,
      0.572135538849062,
      0.578321083896865,
      0.594296505306052,
      0.521654805574281,
      0.544382675565419
    ],
    "emotional_intensity_curve": [
      0.0982112329955286,
      0.229169866853724,
      0.491052929096969,
      0.492121036736259,
      0.472827408748157,
      0.493009187151437,
      0.483628291109768,
      0.491740209826503,
      0.494840163340943,
      0.468697653916674,
      0.481642327263767,
      0.456086237745484,
      0.460878574066588,
      0.4637097405388,
      0.460812895808847,
      0.459291889755766,
      0.445375523922471,
      0.456822355405136,
      0.458444543828354,
      0.468692182916801,
      0.466557388296579,
      0.45880522800446,
      0.470622119557286,
      0.52613450214626,
      0.570035560172581,
      0.551300909102855,
      0.557877793178567,
      0.567497390615396,
      0.566684112033247,
      0.54832389508989,
      0.57571844596174,
      0.568955043111969,
      0.546559506737033,
      0.562064761553354,
      0.5216136040892,
      0.541750302577506,
      0.588292235694398,
      0.546907423896077,
      0.546976350919768,
      0.568116612868242,
      0.544311445043084,
      0.553687324175493,
      0.585358321033336,
      0.554351945559248,
      0.528000298561576,
      0.542700172575627,
      0.54132520328291,
      0.572922246639442,
      0.563109654642944,
      0.5513215464627,
      0.556609584262789,
      0.576069035893702,
      0.540525958848562,
      0.585924112901968,
      0.557675456743632,
      0.549556912105039,
      0.563413908084767,
      0.518051193648832,
      0.554104479479856,
      0.578595898531464,
      0.550156916750919,
      0.545555614356302,
      0.560377101132779,
      0.54993793707565,
      0.562250614815113,
      0.587298085392063,
      0.541673791832566,
      0.543345976567337,
      0.512567347361884,
      0.563271056901834,
      0.574590733184101,
      0.54852180784162,
      0.54518421127497,
      0.580963734971985,
      0.557659972474511,
      0.539262075895844,
      0.546302400193371,
      0.52353302297786,
      0.540815868097862,
      0.552036555838471,
      0.547220762155127,
      0.565938916566748,
      0.57805514942438,
      0.5397583530549,
      0.545546591426609,
      0.571376242199747,
      0.541512851477536,
      0.561266202452834,
      0.567844545104127,
      0.533747517172638,
      0.562534545659708,
      0.537419989743764,
      0.580923869010311,
      0.567571569787663,
      0.555720569155098,
      0.554113092828219,
      0.568793201083835,
      0.557844459307631,
      0.530292403774741,
      0.541617321237938,
      0.531989887228025,
      0.538897569186928,
      0.556977828327629,
      0.542420974535578,
      0.584729125272631,
      0.569383348742753,
      0.529580661768836,
      0.56100829229729,
      0.565081592918286,
      0.556374852108042,
      0.561353554043026,
      0.583442621070868,
      0.592334466699343,
      0.58546745331239,
      0.54398934548914,
      0.531676544568822,
      0.549268494970789,
      0.51063546390832,
      0.47132328813621,
      0.492477126068491,
      0.512409218694821,
      0.489724426798772,
      0.523158060798276,
      0.539753705908315,
      0.537704594309956,
      0.538775853627829,
      0.533414062873679,
      0.544386787898862,
      0.534847233844571,
      0.488655190701077,
      0.483988868766065,
      0.511582409961989,
      0.493099879225644,
      0.508588230696313,
      0.548588207549063,
      0.556180217653133,
      0.552647864493458,
      0.524457807087369,
      0.540697865498948,
      0.549341675745102,
      0.494312991401976,
      0.482756905534047,
      0.499654405658613,
      0.497091844311213,
      0.487527104543351,
      0.519257319920812,
      0.541372507922276,
      0.541542527499923,
      0.540730469011447,
      0.539430634595639,
      0.542474628296088,
      0.522314260320734,
      0.481588686272405,
      0.48986389830532,
      0.517085903702893,
      0.494461152226696,
      0.511272939796,
      0.563553567457875,
      0.55944102619533,
      0.544497483588197,
      0.53636698405207,
      0.570049646885647,
      0.582163396193992,
      0.578045928633998,
      0.585817481567133,
      0.548495187649642,
      0.555650410944247,
      0.576253780564967,
      0.582284544859831,
      0.563746957806194,
      0.578884413117983,
      0.55799147363129,
      0.591025556897112,
      0.58907836608945,
      0.54129534992128,
      0.55565386137296,
      0.570481814873839,
      0.554889471068471,
      0.535450448369947,
      0.565718501800009,
      0.552940397051656,
      0.536517444299242,
      0.56403034322372,
      0.538096602711589,
      0.559329648358521,
      0.595553763148276,
      0.578160790902212,
      0.58097148015857,
      0.552596248716115,
      0.567596761780463,
      0.573376186428975,
      0.579969880609776,
      0.566392613637925,
      0.572204179732962,
      0.551235355375534,
      0.612420418033893,
      0.580514588926238,
      0.540971973893137,
      0.561713560913774,
      0.559951551644328,
      0.53873100587858,
      0.546256153985763,
      0.571502319037975,
      0.544798535060672,
      0.539990286585754,
      0.551903984568946,
      0.573877778345831,
      0.554847103791855,
      0.570444663378626,
      0.552799794137715,
      0.552379282665172,
      0.549292059089595,
      0.602202920855085,
      0.548343555015032,
      0.55319016085576,
      0.545666636023004,
      0.542072045628813,
      0.531056023775034,
      0.586145284532519,
      0.569846737915325,
      0.557748052792446,
      0.559405268482342,
      0.558683797683804,
      0.559832486241936,
      0.56167242771226,
      0.551806841395327,
      0.555703537150503,
      0.545479318443059,
      0.545211472922984,
      0.577773367926075,
      0.557031803461997,
      0.559445226912759,
      0.551586340811301,
      0.555039807719396,
      0.563603492642172,
      0.588835664877911,
      0.545805817487985,
      0.545301668315514,
      0.553843915771326,
      0.537992608665496,
      0.535446597369537,
      0.581190910483551,
      0.565422264402837,
      0.562696104340677,
      0.552612973362379,
      0.562105715381503,
      0.5798252493002,
      0.575205805991215,
      0.581231527833688,
      0.600571042642925,
      0.560057291459362,
      0.51463745369429,
      0.551317893233496,
      0.526353133886312,
      0.489193588258628,
      0.48160017511763,
      0.498454538789254,
      0.481982014950634,
      0.506344241035693,
      0.522049120157804,
      0.546960127554852,
      0.538069208281359,
      0.526660144945928,
      0.540440672133272,
      0.541175047891618,
      0.503727389747977,
      0.482510659005492,
      0.486455226705954,
      0.501580763653111,
      0.496528550836542,
      0.516931978440969,
      0.536005061488568,
      0.548049115071055,
      0.53179494389572,
      0.527269275835871,
      0.543923059516657,
      0.519940659314559,
      0.48865764833887,
      0.476874726209008,
      0.504226087580988,
      0.473235434485823,
      0.506003936249774,
      0.545134619135803,
      0.539174648775845,
      0.534264920827007,
      0.527280803344992,
      0.551536759003313,
      0.535843711472331,
      0.499792755830211,
      0.493811715455579,
      0.504958469365246,
      0.48714815733553,
      0.508138186205725,
      0.530247335061175,
      0.552620449648296,
      0.556583613194721,
      0.544537933405898,
      0.494409173449185,
      0.483609589030322,
      0.510701214059052,
      0.577628012382999,
      0.561717551555931,
      0.568209981604667,
      0.575615631709431,
      0.585073235462383,
      0.563830932639043,
      0.570936413134254,
      0.563273509441973,
      0.551277273863283,
      0.56735773487818,
      0.565925701680178,
      0.557239387351629,
      0.504518912207316,
      0.575426979019843,
      0.558134344302333,
      0.557404605555195,
      0.570940755445228,
      0.57706958502223,
      0.572595446834341,
      0.584610601848735,
      0.604159013413928,
      0.57532922427893,
      0.549534380364025,
      0.536082148705155,
      0.506438794771964,
      0.515482821988525,
      0.540363534410978,
      0.516525863472145,
      0.521949745357494,
      0.513438055270811,
      0.496782584162831,
      0.525046903051987,
      0.543556202020058,
      0.531813616345815,
      0.542389517751903,
      0.515504554195092,
      0.508461888010159,
      0.543695490550678,
      0.542849692085706,
      0.521278039806181,
      0.522170016092128,
      0.490848549724307,
      0.483129020581277,
      0.530163454551177,
      0.528619464024888,
      0.487422268382136,
      0.49281271649334,
      0.494398339830487,
      0.483648656161967,
      0.492541758610805,
      0.511241526946021,
      0.545664116754384,
      0.539434106345258,
      0.52738665840018,
      0.543772957382775,
      0.552415139017487,
      0.496860081685858,
      0.49117763432278,
      0.49057600184898,
      0.500991421315127,
      0.490631587247523,
      0.504268910211006,
      0.544768273726705,
      0.548903442011881,
      0.532821869787811,
      0.521818399944543,
      0.534398409138562,
      0.519461060436564,
      0.491433341615679,
      0.485633842659474,
      0.509361043734654,
      0.47141128762138,
      0.502122511210841,
      0.529012007569897,
      0.539571555274542,
      0.538861469908888,
      0.520065958802106,
      0.548947697692415,
      0.542702761127888,
      0.496286074985397,
      0.510295429593315,
      0.500763214334615,
      0.48738566242233,
      0.487683369328467,
      0.522871225085886,
      0.553796444312757,
      0.548877356295164,
      0.540558864559931,
      0.503404234605072,
      0.480259990760808,
      0.491895983702539,
      0.496978608862939,
      0.455052184723127,
      0.50488839630474,
      0.491450131540523,
      0.483833296200487,
      0.507561317425364,
      0.489314473855661,
      0.508656244351632,
      0.506373119027033,
      0.479414205571147,
      0.498340591724138,
      0.488832171634328,
      0.487268613860392,
      0.499169100604354,
      0.481514127454004,
      0.46991416876049,
      0.489273593960381,
      0.494913968632909,
      0.482385368826946,
      0.497159288517763,
      0.487530754964418,
      0.486199873222559,
      0.261892157367176,
      0.254043180672036,
      0.235210881556743,
      0.227320310944733,
      0.22413740386798,
      0.249439192073187,
      0.236589793019609
    ],
    "tempo_feel": null,
    "tempo_feel_confidence": null,
    "tempo_feel_note": null
  },
  "tier3_emotional": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "valence": 620,
    "arousal": 560,
    "dominant_emotion": "cool defiance",
    "nostalgia_index": 480,
    "mystery_index": 350,
    "triumph_index": 680,
    "melancholy_index": 180,
    "sensuality_index": 360,
    "inspirational_quality": 580,
    "valence_confidence": 0.75,
    "arousal_confidence": 0.72,
    "nostalgia_confidence": 0.68,
    "mystery_confidence": 0.65,
    "triumph_confidence": 0.78,
    "melancholy_confidence": 0.65,
    "sensuality_confidence": 0.55,
    "inspirational_confidence": 0.73,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T20:44:45.908+00:00",
    "created_at": "2026-03-17T20:14:02.643503+00:00",
    "updated_at": "2026-03-17T20:14:02.643503+00:00"
  },
  "tier3_contextual": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "listening_context": [
      "cinematic",
      "introspective",
      "social"
    ],
    "time_of_day": null,
    "seasonal_feel": null,
    "solo_group": null,
    "headphones_speakers": null,
    "family_friendly": false,
    "explicit_lyrics": true,
    "repeatability_score": 730,
    "listening_context_confidence": 0.72,
    "time_of_day_confidence": 0,
    "seasonal_feel_confidence": 0,
    "repeatability_confidence": 0.8,
    "analyst_confirmed": false,
    "confirmed_at": null,
    "created_at": "2026-03-17T20:14:02.755006+00:00",
    "updated_at": "2026-03-17T20:14:02.755006+00:00"
  },
  "tier3_narrative": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "intro_energy": "Opens with a repetitive, immediately recognizable riff that reads as ambiguous on first listen but iconic on recognition. M.I.A. enters at approximately 14 seconds, coming in with full momentum.",
    "build_phases": [
      {
        "confidence": 0.8,
        "description": "Repetitive instrumental hook establishes the sample loop before vocals arrive; tension of unfamiliarity for new listeners.",
        "source_excerpt": "It started out like, okay, what's going on? It's like that kind of repetitive thing at the beginning.",
        "timestamp_normalized": 0.12
      },
      {
        "confidence": 0.85,
        "description": "M.I.A. enters at roughly 14 seconds, establishing the vocal swagger and setting the song's tone.",
        "source_excerpt": "She comes in full speed about 14 seconds and she's flowing.",
        "timestamp_normalized": 0.18
      }
    ],
    "drop_climax_points": [
      {
        "intensity": 0.82,
        "confidence": 0.88,
        "description": "Chorus drops with iconic gunshots and cash register sounds replacing lyric content — the song's defining sonic moment.",
        "source_excerpt": "The iconic gunshots with the cash register is like, permanent. I mean, it persists throughout the song and you can see why, right? It adds to the theme of the song.",
        "timestamp_normalized": 0.35
      }
    ],
    "resolution_phase": null,
    "overall_arc_type": "sustained",
    "emotional_turning_points": [
      {
        "confidence": 0.72,
        "shift_type": "positive",
        "description": "Song's mood crystallizes when M.I.A.'s vocal enters — shifts from ambient uncertainty to confident, swaggering assertion.",
        "source_excerpt": "She comes in full speed about 14 seconds... she barks and she bites.",
        "timestamp_normalized": 0.18
      }
    ],
    "surprise_moments": [
      {
        "confidence": 0.82,
        "description": "Gunshots and cash register replacing sung words in the chorus — an unconventional structural choice that the analyst flags as permanently memorable.",
        "source_excerpt": "The iconic gunshots with the cash register is like, permanent. I mean, it persists throughout the song and you can see why.",
        "timestamp_normalized": 0.35
      }
    ],
    "arc_notes": null,
    "arc_confidence": 0.7,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T20:44:45.908+00:00",
    "created_at": "2026-03-17T20:14:02.842066+00:00",
    "updated_at": "2026-03-17T20:14:02.842066+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": "2026-03-17T20:44:45.908+00:00",
    "created_at": "2026-03-17T20:14:02.929711+00:00",
    "updated_at": "2026-03-17T20:14:02.929711+00:00"
  },
  "similarity": {
    "vector": [
      0.430664,
      0.025473,
      0.582029,
      0.88026,
      0.840245,
      0.480119,
      0.25083,
      0.002956,
      0.887704,
      0.829545,
      0.1,
      0.246882,
      0.21203,
      0.299567,
      0.657676,
      0.342324,
      0.603651,
      0.701406,
      0.586783,
      0.976268,
      0.144328,
      0.530864,
      0.378652,
      0.641356,
      0.354,
      0.461042,
      0.384829,
      0.538958,
      0.065885,
      0.67964,
      0.342324,
      1
    ],
    "similar_songs": [
      {
        "title": "Lady Lady",
        "artist": "Olivia Dean",
        "slug": "lady-lady-olivia-dean",
        "overall_similarity": 0.7409
      },
      {
        "title": "Rich Girl",
        "artist": "Lake Street Dive",
        "slug": "rich-girl-lake-street-dive",
        "overall_similarity": 0.7393
      },
      {
        "title": "Break On Me",
        "artist": "Keith Urban",
        "slug": "break-on-me-keith-urban",
        "overall_similarity": 0.7348
      },
      {
        "title": "Just Like Heaven",
        "artist": "The Cure",
        "slug": "just-like-heaven-the-cure",
        "overall_similarity": 0.7342
      },
      {
        "title": "Killing in the Name",
        "artist": "Rage Against the Machine",
        "slug": "killing-in-the-name-rage-against-the-machine",
        "overall_similarity": 0.7213
      },
      {
        "title": "Blow The Whistle",
        "artist": "Too Short",
        "slug": "blow-the-whistle-too-short",
        "overall_similarity": 0.7193
      },
      {
        "title": "Chunky",
        "artist": "Bruno Mars",
        "slug": "chunky-bruno-mars",
        "overall_similarity": 0.718
      },
      {
        "title": "What You Saying",
        "artist": "LIL UZI VERT",
        "slug": "what-you-saying-lil-uzi-vert",
        "overall_similarity": 0.7086
      }
    ]
  },
  "metadata": {
    "analysis_version": "2.0",
    "field_count": 389,
    "generated_at": "2026-03-24T01:28:32.430Z",
    "api_access": "For batch access across multiple songs, filtering, and real-time updates, see the MusicArk API."
  }
}
